TSTP Solution File: SWV421-1.465 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV421-1.465 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 15:13:42 EDT 2022
% Result : Unsatisfiable 15.33s 10.13s
% Output : Proof 29.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV421-1.465 : TPTP v8.1.0. Released v3.5.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Sep 4 03:12:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 15.33/10.13 % SZS status Unsatisfiable
% 15.33/10.13 % SZS output start Proof
% 15.33/10.13 tff(xuntil22_type, type, (
% 15.33/10.13 xuntil22: $i > $o)).
% 15.33/10.13 tff(s464_type, type, (
% 15.33/10.13 s464: $i)).
% 15.33/10.13 tff(node20_type, type, (
% 15.33/10.13 node20: $i > $o)).
% 15.33/10.13 tff(always19_type, type, (
% 15.33/10.13 always19: $i > $o)).
% 15.33/10.13 tff(s91_type, type, (
% 15.33/10.13 s91: $i)).
% 15.33/10.13 tff(s92_type, type, (
% 15.33/10.13 s92: $i)).
% 15.33/10.13 tff(s93_type, type, (
% 15.33/10.13 s93: $i)).
% 15.33/10.13 tff(s94_type, type, (
% 15.33/10.13 s94: $i)).
% 15.33/10.13 tff(m_main_v_state1_type, type, (
% 15.33/10.13 m_main_v_state1: ( $i * $i ) > $o)).
% 15.33/10.13 tff(c_c1_type, type, (
% 15.33/10.13 c_c1: $i)).
% 15.33/10.13 tff(node3_type, type, (
% 15.33/10.13 node3: $i > $o)).
% 15.33/10.13 tff(m_main_v_state2_type, type, (
% 15.33/10.13 m_main_v_state2: ( $i * $i ) > $o)).
% 15.33/10.13 tff(c_c2_type, type, (
% 15.33/10.13 c_c2: $i)).
% 15.33/10.13 tff(c_n2_type, type, (
% 15.33/10.13 c_n2: $i)).
% 15.33/10.13 tff(node12_type, type, (
% 15.33/10.13 node12: $i > $o)).
% 15.33/10.13 tff(c_t2_type, type, (
% 15.33/10.13 c_t2: $i)).
% 15.33/10.13 tff(node9_type, type, (
% 15.33/10.13 node9: $i > $o)).
% 15.33/10.13 tff(node13_type, type, (
% 15.33/10.13 node13: ( $i * $i ) > $o)).
% 15.33/10.13 tff(s90_type, type, (
% 15.33/10.13 s90: $i)).
% 15.33/10.13 tff(m_main_v_turn_type, type, (
% 15.33/10.13 m_main_v_turn: ( $i * $i ) > $o)).
% 15.33/10.13 tff(c_2_type, type, (
% 15.33/10.13 c_2: $i)).
% 15.33/10.13 tff(c_1_type, type, (
% 15.33/10.13 c_1: $i)).
% 15.33/10.13 tff(c_t1_type, type, (
% 15.33/10.13 c_t1: $i)).
% 15.33/10.13 tff(s89_type, type, (
% 15.33/10.13 s89: $i)).
% 15.33/10.13 tff(node6_type, type, (
% 15.33/10.13 node6: ( $i * $i ) > $o)).
% 15.33/10.13 tff(s88_type, type, (
% 15.33/10.13 s88: $i)).
% 15.33/10.13 tff(node1_type, type, (
% 15.33/10.13 node1: $i > $o)).
% 15.33/10.13 tff(c_n1_type, type, (
% 15.33/10.13 c_n1: $i)).
% 15.33/10.13 tff(s87_type, type, (
% 15.33/10.13 s87: $i)).
% 15.33/10.13 tff(node5_type, type, (
% 15.33/10.13 node5: $i > $o)).
% 15.33/10.13 tff(s86_type, type, (
% 15.33/10.13 s86: $i)).
% 15.33/10.13 tff(s85_type, type, (
% 15.33/10.13 s85: $i)).
% 15.33/10.13 tff(s84_type, type, (
% 15.33/10.13 s84: $i)).
% 15.33/10.13 tff(s83_type, type, (
% 15.33/10.13 s83: $i)).
% 15.33/10.13 tff(s82_type, type, (
% 15.33/10.13 s82: $i)).
% 15.33/10.13 tff(s81_type, type, (
% 15.33/10.13 s81: $i)).
% 15.33/10.13 tff(s80_type, type, (
% 15.33/10.13 s80: $i)).
% 15.33/10.13 tff(s79_type, type, (
% 15.33/10.13 s79: $i)).
% 15.33/10.13 tff(s78_type, type, (
% 15.33/10.13 s78: $i)).
% 15.33/10.13 tff(s77_type, type, (
% 15.33/10.13 s77: $i)).
% 15.33/10.13 tff(s76_type, type, (
% 15.33/10.13 s76: $i)).
% 15.33/10.13 tff(s75_type, type, (
% 15.33/10.13 s75: $i)).
% 15.33/10.13 tff(s74_type, type, (
% 15.33/10.13 s74: $i)).
% 15.33/10.13 tff(s73_type, type, (
% 15.33/10.13 s73: $i)).
% 15.33/10.13 tff(s72_type, type, (
% 15.33/10.13 s72: $i)).
% 15.33/10.13 tff(s71_type, type, (
% 15.33/10.13 s71: $i)).
% 15.33/10.13 tff(s70_type, type, (
% 15.33/10.13 s70: $i)).
% 15.33/10.13 tff(s69_type, type, (
% 15.33/10.13 s69: $i)).
% 15.33/10.13 tff(s68_type, type, (
% 15.33/10.13 s68: $i)).
% 15.33/10.13 tff(s67_type, type, (
% 15.33/10.13 s67: $i)).
% 15.33/10.13 tff(s66_type, type, (
% 15.33/10.13 s66: $i)).
% 15.33/10.13 tff(s65_type, type, (
% 15.33/10.13 s65: $i)).
% 15.33/10.13 tff(s64_type, type, (
% 15.33/10.13 s64: $i)).
% 15.33/10.13 tff(s63_type, type, (
% 15.33/10.13 s63: $i)).
% 15.33/10.13 tff(s62_type, type, (
% 15.33/10.13 s62: $i)).
% 15.33/10.13 tff(s61_type, type, (
% 15.33/10.13 s61: $i)).
% 15.33/10.13 tff(s60_type, type, (
% 15.33/10.13 s60: $i)).
% 15.33/10.13 tff(s59_type, type, (
% 15.33/10.13 s59: $i)).
% 15.33/10.13 tff(s58_type, type, (
% 15.33/10.13 s58: $i)).
% 15.33/10.13 tff(s57_type, type, (
% 15.33/10.13 s57: $i)).
% 15.33/10.13 tff(s56_type, type, (
% 15.33/10.13 s56: $i)).
% 15.33/10.13 tff(s55_type, type, (
% 15.33/10.13 s55: $i)).
% 15.33/10.13 tff(s54_type, type, (
% 15.33/10.13 s54: $i)).
% 15.33/10.13 tff(s53_type, type, (
% 15.33/10.13 s53: $i)).
% 15.33/10.13 tff(s52_type, type, (
% 15.33/10.13 s52: $i)).
% 15.33/10.13 tff(s51_type, type, (
% 15.33/10.13 s51: $i)).
% 15.33/10.13 tff(s50_type, type, (
% 15.33/10.13 s50: $i)).
% 15.33/10.13 tff(s49_type, type, (
% 15.33/10.13 s49: $i)).
% 15.33/10.13 tff(s48_type, type, (
% 15.33/10.13 s48: $i)).
% 15.33/10.13 tff(s47_type, type, (
% 15.33/10.13 s47: $i)).
% 15.33/10.13 tff(s46_type, type, (
% 15.33/10.13 s46: $i)).
% 15.33/10.13 tff(s45_type, type, (
% 15.33/10.13 s45: $i)).
% 15.33/10.13 tff(s44_type, type, (
% 15.33/10.13 s44: $i)).
% 15.33/10.13 tff(s43_type, type, (
% 15.33/10.13 s43: $i)).
% 15.33/10.13 tff(s42_type, type, (
% 15.33/10.13 s42: $i)).
% 15.33/10.13 tff(s41_type, type, (
% 15.33/10.13 s41: $i)).
% 15.33/10.13 tff(s40_type, type, (
% 15.33/10.13 s40: $i)).
% 15.33/10.13 tff(s39_type, type, (
% 15.33/10.13 s39: $i)).
% 15.33/10.13 tff(s38_type, type, (
% 15.33/10.13 s38: $i)).
% 15.33/10.13 tff(s37_type, type, (
% 15.33/10.13 s37: $i)).
% 15.33/10.13 tff(s36_type, type, (
% 15.33/10.13 s36: $i)).
% 15.33/10.13 tff(s35_type, type, (
% 15.33/10.13 s35: $i)).
% 15.33/10.13 tff(s34_type, type, (
% 15.33/10.13 s34: $i)).
% 15.33/10.13 tff(s33_type, type, (
% 15.33/10.13 s33: $i)).
% 15.33/10.13 tff(s32_type, type, (
% 15.33/10.13 s32: $i)).
% 15.33/10.13 tff(s31_type, type, (
% 15.33/10.13 s31: $i)).
% 15.33/10.13 tff(s30_type, type, (
% 15.33/10.13 s30: $i)).
% 15.33/10.13 tff(s29_type, type, (
% 15.33/10.13 s29: $i)).
% 15.33/10.13 tff(s28_type, type, (
% 15.33/10.13 s28: $i)).
% 15.33/10.13 tff(s27_type, type, (
% 15.33/10.13 s27: $i)).
% 15.33/10.13 tff(s26_type, type, (
% 15.33/10.13 s26: $i)).
% 15.33/10.13 tff(s25_type, type, (
% 15.33/10.13 s25: $i)).
% 15.33/10.13 tff(s24_type, type, (
% 15.33/10.13 s24: $i)).
% 15.33/10.13 tff(s23_type, type, (
% 15.33/10.13 s23: $i)).
% 15.33/10.13 tff(s22_type, type, (
% 15.33/10.13 s22: $i)).
% 15.33/10.13 tff(s21_type, type, (
% 15.33/10.13 s21: $i)).
% 15.33/10.13 tff(s20_type, type, (
% 15.33/10.13 s20: $i)).
% 15.33/10.13 tff(s19_type, type, (
% 15.33/10.13 s19: $i)).
% 15.33/10.13 tff(s18_type, type, (
% 15.33/10.13 s18: $i)).
% 15.33/10.13 tff(s17_type, type, (
% 15.33/10.13 s17: $i)).
% 15.33/10.13 tff(s16_type, type, (
% 15.33/10.13 s16: $i)).
% 15.33/10.13 tff(s15_type, type, (
% 15.33/10.13 s15: $i)).
% 15.33/10.13 tff(s14_type, type, (
% 15.33/10.13 s14: $i)).
% 15.33/10.13 tff(s13_type, type, (
% 15.33/10.13 s13: $i)).
% 15.33/10.13 tff(s12_type, type, (
% 15.33/10.13 s12: $i)).
% 15.33/10.13 tff(s11_type, type, (
% 15.33/10.13 s11: $i)).
% 15.33/10.13 tff(s10_type, type, (
% 15.33/10.13 s10: $i)).
% 15.33/10.13 tff(s9_type, type, (
% 15.33/10.13 s9: $i)).
% 15.33/10.13 tff(s8_type, type, (
% 15.33/10.13 s8: $i)).
% 15.33/10.13 tff(s7_type, type, (
% 15.33/10.13 s7: $i)).
% 15.33/10.13 tff(s6_type, type, (
% 15.33/10.13 s6: $i)).
% 15.33/10.13 tff(s5_type, type, (
% 15.33/10.13 s5: $i)).
% 15.33/10.13 tff(s4_type, type, (
% 15.33/10.13 s4: $i)).
% 15.33/10.13 tff(s3_type, type, (
% 15.33/10.13 s3: $i)).
% 15.33/10.13 tff(s2_type, type, (
% 15.33/10.13 s2: $i)).
% 15.33/10.13 tff(s1_type, type, (
% 15.33/10.13 s1: $i)).
% 15.33/10.13 tff(node8_type, type, (
% 15.33/10.13 node8: $i > $o)).
% 15.33/10.13 tff(s0_type, type, (
% 15.33/10.13 s0: $i)).
% 15.33/10.13 tff(node14_type, type, (
% 15.33/10.13 node14: ( $i * $i ) > $o)).
% 15.33/10.13 tff(trans_type, type, (
% 15.33/10.13 trans: ( $i * $i ) > $o)).
% 15.33/10.13 tff(succ_type, type, (
% 15.33/10.13 succ: ( $i * $i ) > $o)).
% 15.33/10.13 tff(node17_type, type, (
% 15.33/10.13 node17: ( $i * $i ) > $o)).
% 15.33/10.13 tff(node15_type, type, (
% 15.33/10.13 node15: $i > $o)).
% 15.33/10.13 tff(node16_type, type, (
% 15.33/10.13 node16: $i > $o)).
% 15.33/10.13 tff(node18_type, type, (
% 15.33/10.13 node18: ( $i * $i ) > $o)).
% 15.33/10.13 tff(node11_type, type, (
% 15.33/10.13 node11: $i > $o)).
% 15.33/10.13 tff(node7_type, type, (
% 15.33/10.13 node7: ( $i * $i ) > $o)).
% 15.33/10.13 tff(node10_type, type, (
% 15.33/10.13 node10: $i > $o)).
% 15.33/10.13 tff(node4_type, type, (
% 15.33/10.13 node4: $i > $o)).
% 15.33/10.13 tff(node2_type, type, (
% 15.33/10.14 node2: $i > $o)).
% 15.33/10.14 tff(s177_type, type, (
% 15.33/10.14 s177: $i)).
% 15.33/10.14 tff(s178_type, type, (
% 15.33/10.14 s178: $i)).
% 15.33/10.14 tff(s176_type, type, (
% 15.33/10.14 s176: $i)).
% 15.33/10.14 tff(s175_type, type, (
% 15.33/10.14 s175: $i)).
% 15.33/10.14 tff(s174_type, type, (
% 15.33/10.14 s174: $i)).
% 15.33/10.14 tff(s173_type, type, (
% 15.33/10.14 s173: $i)).
% 15.33/10.14 tff(s172_type, type, (
% 15.33/10.14 s172: $i)).
% 15.33/10.14 tff(s171_type, type, (
% 15.33/10.14 s171: $i)).
% 15.33/10.14 tff(s170_type, type, (
% 15.33/10.14 s170: $i)).
% 15.33/10.14 tff(s169_type, type, (
% 15.33/10.14 s169: $i)).
% 15.33/10.14 tff(s168_type, type, (
% 15.33/10.14 s168: $i)).
% 15.33/10.14 tff(s167_type, type, (
% 15.33/10.14 s167: $i)).
% 15.33/10.14 tff(s166_type, type, (
% 15.33/10.14 s166: $i)).
% 15.33/10.14 tff(s165_type, type, (
% 15.33/10.14 s165: $i)).
% 15.33/10.14 tff(s164_type, type, (
% 15.33/10.14 s164: $i)).
% 15.33/10.14 tff(s163_type, type, (
% 15.33/10.14 s163: $i)).
% 15.33/10.14 tff(s162_type, type, (
% 15.33/10.14 s162: $i)).
% 15.33/10.14 tff(s161_type, type, (
% 15.33/10.14 s161: $i)).
% 15.33/10.14 tff(s160_type, type, (
% 15.33/10.14 s160: $i)).
% 15.33/10.14 tff(s159_type, type, (
% 15.33/10.14 s159: $i)).
% 15.33/10.14 tff(s158_type, type, (
% 15.33/10.14 s158: $i)).
% 15.33/10.14 tff(s157_type, type, (
% 15.33/10.14 s157: $i)).
% 15.33/10.14 tff(s156_type, type, (
% 15.33/10.14 s156: $i)).
% 15.33/10.14 tff(s155_type, type, (
% 15.33/10.14 s155: $i)).
% 15.33/10.14 tff(s154_type, type, (
% 15.33/10.14 s154: $i)).
% 15.33/10.14 tff(s153_type, type, (
% 15.33/10.14 s153: $i)).
% 15.33/10.14 tff(s152_type, type, (
% 15.33/10.14 s152: $i)).
% 15.33/10.14 tff(s151_type, type, (
% 15.33/10.14 s151: $i)).
% 15.33/10.14 tff(s150_type, type, (
% 15.33/10.14 s150: $i)).
% 15.33/10.14 tff(s149_type, type, (
% 15.33/10.14 s149: $i)).
% 15.33/10.14 tff(s148_type, type, (
% 15.33/10.14 s148: $i)).
% 15.33/10.14 tff(s147_type, type, (
% 15.33/10.14 s147: $i)).
% 15.33/10.14 tff(s146_type, type, (
% 15.33/10.14 s146: $i)).
% 15.33/10.14 tff(s145_type, type, (
% 15.33/10.14 s145: $i)).
% 15.33/10.14 tff(s144_type, type, (
% 15.33/10.14 s144: $i)).
% 15.33/10.14 tff(s143_type, type, (
% 15.33/10.14 s143: $i)).
% 15.33/10.14 tff(s142_type, type, (
% 15.33/10.14 s142: $i)).
% 15.33/10.14 tff(s141_type, type, (
% 15.33/10.14 s141: $i)).
% 15.33/10.14 tff(s140_type, type, (
% 15.33/10.14 s140: $i)).
% 15.33/10.14 tff(s139_type, type, (
% 15.33/10.14 s139: $i)).
% 15.33/10.14 tff(s138_type, type, (
% 15.33/10.14 s138: $i)).
% 15.33/10.14 tff(s137_type, type, (
% 15.33/10.14 s137: $i)).
% 15.33/10.14 tff(s136_type, type, (
% 15.33/10.14 s136: $i)).
% 15.33/10.14 tff(s135_type, type, (
% 15.33/10.14 s135: $i)).
% 15.33/10.14 tff(s134_type, type, (
% 15.33/10.14 s134: $i)).
% 15.33/10.14 tff(s133_type, type, (
% 15.33/10.14 s133: $i)).
% 15.33/10.14 tff(s132_type, type, (
% 15.33/10.14 s132: $i)).
% 15.33/10.14 tff(s131_type, type, (
% 15.33/10.14 s131: $i)).
% 15.33/10.14 tff(s130_type, type, (
% 15.33/10.14 s130: $i)).
% 15.33/10.14 tff(s129_type, type, (
% 15.33/10.14 s129: $i)).
% 15.33/10.14 tff(s128_type, type, (
% 15.33/10.14 s128: $i)).
% 15.33/10.14 tff(s127_type, type, (
% 15.33/10.14 s127: $i)).
% 15.33/10.14 tff(s126_type, type, (
% 15.33/10.14 s126: $i)).
% 15.33/10.14 tff(s125_type, type, (
% 15.33/10.14 s125: $i)).
% 15.33/10.14 tff(s124_type, type, (
% 15.33/10.14 s124: $i)).
% 15.33/10.14 tff(s123_type, type, (
% 15.33/10.14 s123: $i)).
% 15.33/10.14 tff(s122_type, type, (
% 15.33/10.14 s122: $i)).
% 15.33/10.14 tff(s121_type, type, (
% 15.33/10.14 s121: $i)).
% 15.33/10.14 tff(s120_type, type, (
% 15.33/10.14 s120: $i)).
% 15.33/10.14 tff(s119_type, type, (
% 15.33/10.14 s119: $i)).
% 15.33/10.14 tff(s118_type, type, (
% 15.33/10.14 s118: $i)).
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% 15.33/10.14 tff(s238_type, type, (
% 15.33/10.14 s238: $i)).
% 15.33/10.14 tff(s237_type, type, (
% 15.33/10.14 s237: $i)).
% 15.33/10.14 tff(s236_type, type, (
% 15.33/10.14 s236: $i)).
% 15.33/10.14 tff(s235_type, type, (
% 15.33/10.14 s235: $i)).
% 15.33/10.14 tff(s234_type, type, (
% 15.33/10.14 s234: $i)).
% 15.33/10.14 tff(s233_type, type, (
% 15.33/10.14 s233: $i)).
% 15.33/10.14 tff(s232_type, type, (
% 15.33/10.14 s232: $i)).
% 15.33/10.14 tff(s231_type, type, (
% 15.33/10.14 s231: $i)).
% 15.33/10.14 tff(s230_type, type, (
% 15.33/10.14 s230: $i)).
% 15.33/10.14 tff(s229_type, type, (
% 15.33/10.14 s229: $i)).
% 15.33/10.14 tff(s228_type, type, (
% 15.33/10.14 s228: $i)).
% 15.33/10.14 tff(s227_type, type, (
% 15.33/10.14 s227: $i)).
% 15.33/10.14 tff(s226_type, type, (
% 15.33/10.14 s226: $i)).
% 15.33/10.14 tff(s225_type, type, (
% 15.33/10.14 s225: $i)).
% 15.33/10.14 tff(s224_type, type, (
% 15.33/10.14 s224: $i)).
% 15.33/10.14 tff(s223_type, type, (
% 15.33/10.14 s223: $i)).
% 15.33/10.14 tff(s222_type, type, (
% 15.33/10.14 s222: $i)).
% 15.33/10.14 tff(s221_type, type, (
% 15.33/10.14 s221: $i)).
% 15.33/10.14 tff(s220_type, type, (
% 15.33/10.14 s220: $i)).
% 15.33/10.14 tff(s219_type, type, (
% 15.33/10.14 s219: $i)).
% 15.33/10.14 tff(s218_type, type, (
% 15.33/10.14 s218: $i)).
% 15.33/10.14 tff(s217_type, type, (
% 15.33/10.14 s217: $i)).
% 15.33/10.14 tff(s216_type, type, (
% 15.33/10.14 s216: $i)).
% 15.33/10.14 tff(s215_type, type, (
% 15.33/10.14 s215: $i)).
% 15.33/10.14 tff(s214_type, type, (
% 15.33/10.14 s214: $i)).
% 15.33/10.14 tff(s213_type, type, (
% 15.33/10.14 s213: $i)).
% 15.33/10.14 tff(s212_type, type, (
% 15.33/10.14 s212: $i)).
% 15.33/10.14 tff(s211_type, type, (
% 15.33/10.14 s211: $i)).
% 15.33/10.14 tff(s210_type, type, (
% 15.33/10.14 s210: $i)).
% 15.33/10.14 tff(s209_type, type, (
% 15.33/10.14 s209: $i)).
% 15.33/10.14 tff(s208_type, type, (
% 15.33/10.14 s208: $i)).
% 15.33/10.14 tff(s207_type, type, (
% 15.33/10.14 s207: $i)).
% 15.33/10.14 tff(s206_type, type, (
% 15.33/10.14 s206: $i)).
% 15.33/10.14 tff(s205_type, type, (
% 15.33/10.14 s205: $i)).
% 15.33/10.14 tff(s204_type, type, (
% 15.33/10.14 s204: $i)).
% 15.33/10.14 tff(s203_type, type, (
% 15.33/10.14 s203: $i)).
% 15.33/10.14 tff(s202_type, type, (
% 15.33/10.14 s202: $i)).
% 15.33/10.14 tff(s201_type, type, (
% 15.33/10.14 s201: $i)).
% 15.33/10.14 tff(s200_type, type, (
% 15.33/10.14 s200: $i)).
% 15.33/10.14 tff(s199_type, type, (
% 15.33/10.14 s199: $i)).
% 15.33/10.14 tff(s198_type, type, (
% 15.33/10.14 s198: $i)).
% 15.33/10.14 tff(s197_type, type, (
% 15.33/10.14 s197: $i)).
% 15.33/10.14 tff(s196_type, type, (
% 15.33/10.14 s196: $i)).
% 15.33/10.14 tff(s195_type, type, (
% 15.33/10.14 s195: $i)).
% 15.33/10.14 tff(s194_type, type, (
% 15.33/10.14 s194: $i)).
% 15.33/10.14 tff(s193_type, type, (
% 15.33/10.14 s193: $i)).
% 15.33/10.14 tff(s192_type, type, (
% 15.33/10.14 s192: $i)).
% 15.33/10.14 tff(s191_type, type, (
% 15.33/10.14 s191: $i)).
% 15.33/10.14 tff(s190_type, type, (
% 15.33/10.14 s190: $i)).
% 15.33/10.14 tff(s189_type, type, (
% 15.33/10.14 s189: $i)).
% 15.33/10.14 tff(s188_type, type, (
% 15.33/10.14 s188: $i)).
% 15.33/10.14 tff(s187_type, type, (
% 15.33/10.14 s187: $i)).
% 15.33/10.14 tff(s186_type, type, (
% 15.33/10.14 s186: $i)).
% 15.33/10.14 tff(s185_type, type, (
% 15.33/10.14 s185: $i)).
% 15.33/10.14 tff(s184_type, type, (
% 15.33/10.14 s184: $i)).
% 15.33/10.14 tff(s183_type, type, (
% 15.33/10.14 s183: $i)).
% 15.33/10.14 tff(s182_type, type, (
% 15.33/10.14 s182: $i)).
% 15.33/10.14 tff(s181_type, type, (
% 15.33/10.14 s181: $i)).
% 15.33/10.14 tff(s180_type, type, (
% 15.33/10.14 s180: $i)).
% 15.33/10.14 tff(s179_type, type, (
% 15.33/10.14 s179: $i)).
% 15.33/10.14 tff(s446_type, type, (
% 15.33/10.14 s446: $i)).
% 15.33/10.14 tff(s445_type, type, (
% 15.33/10.14 s445: $i)).
% 15.33/10.14 tff(s444_type, type, (
% 15.33/10.14 s444: $i)).
% 15.33/10.14 tff(s443_type, type, (
% 15.33/10.14 s443: $i)).
% 15.33/10.14 tff(s442_type, type, (
% 15.33/10.14 s442: $i)).
% 15.33/10.14 tff(s441_type, type, (
% 15.33/10.14 s441: $i)).
% 15.33/10.14 tff(s440_type, type, (
% 15.33/10.14 s440: $i)).
% 15.33/10.14 tff(s439_type, type, (
% 15.33/10.14 s439: $i)).
% 15.33/10.14 tff(s438_type, type, (
% 15.33/10.14 s438: $i)).
% 15.33/10.14 tff(s437_type, type, (
% 15.33/10.14 s437: $i)).
% 15.33/10.14 tff(s436_type, type, (
% 15.33/10.14 s436: $i)).
% 15.33/10.14 tff(s435_type, type, (
% 15.33/10.14 s435: $i)).
% 15.33/10.14 tff(s449_type, type, (
% 15.33/10.14 s449: $i)).
% 15.33/10.14 tff(s450_type, type, (
% 15.33/10.14 s450: $i)).
% 15.33/10.14 tff(s448_type, type, (
% 15.33/10.14 s448: $i)).
% 15.33/10.14 tff(s447_type, type, (
% 15.33/10.14 s447: $i)).
% 15.33/10.14 tff(s462_type, type, (
% 15.33/10.14 s462: $i)).
% 15.33/10.14 tff(s461_type, type, (
% 15.33/10.14 s461: $i)).
% 15.33/10.14 tff(s460_type, type, (
% 15.33/10.14 s460: $i)).
% 15.33/10.14 tff(s459_type, type, (
% 15.33/10.14 s459: $i)).
% 15.33/10.14 tff(s458_type, type, (
% 15.33/10.14 s458: $i)).
% 15.33/10.14 tff(s457_type, type, (
% 15.33/10.14 s457: $i)).
% 15.33/10.14 tff(s456_type, type, (
% 15.33/10.14 s456: $i)).
% 15.33/10.14 tff(s455_type, type, (
% 15.33/10.14 s455: $i)).
% 15.33/10.14 tff(s454_type, type, (
% 15.33/10.14 s454: $i)).
% 15.33/10.14 tff(s453_type, type, (
% 15.33/10.14 s453: $i)).
% 15.33/10.14 tff(s452_type, type, (
% 15.33/10.14 s452: $i)).
% 15.33/10.14 tff(s451_type, type, (
% 15.33/10.14 s451: $i)).
% 15.33/10.14 tff(s463_type, type, (
% 15.33/10.14 s463: $i)).
% 15.33/10.14 tff(loop_type, type, (
% 15.33/10.14 loop: $o)).
% 15.33/10.14 tff(last_type, type, (
% 15.33/10.14 last: $i > $o)).
% 15.33/10.14 tff(until21_type, type, (
% 15.33/10.14 until21: $i > $o)).
% 15.33/10.14 tff(until2p23_type, type, (
% 15.33/10.14 until2p23: $i > $o)).
% 15.33/10.14 tff(xuntil2p24_type, type, (
% 15.33/10.14 xuntil2p24: $i > $o)).
% 15.33/10.14 tff(1,plain,
% 15.33/10.14 (m_main_v_state1(s0, c_n1) <=> m_main_v_state1(s0, c_n1)),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(2,axiom,(m_main_v_state1(s0, c_n1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_11')).
% 15.33/10.14 tff(3,plain,
% 15.33/10.14 (m_main_v_state1(s0, c_n1)),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[2, 1])).
% 15.33/10.14 tff(4,plain,
% 15.33/10.14 (^[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))))),
% 15.33/10.14 inference(bind,[status(th)],[])).
% 15.33/10.14 tff(5,plain,
% 15.33/10.14 (![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)))),
% 15.33/10.14 inference(quant_intro,[status(thm)],[4])).
% 15.33/10.14 tff(6,plain,
% 15.33/10.14 (![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)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(7,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_2')).
% 15.33/10.14 tff(8,plain,
% 15.33/10.14 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[7, 6])).
% 15.33/10.14 tff(9,plain,(
% 15.33/10.14 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 15.33/10.14 inference(skolemize,[status(sab)],[8])).
% 15.33/10.14 tff(10,plain,
% 15.33/10.14 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[9, 5])).
% 15.33/10.14 tff(11,plain,
% 15.33/10.14 (((~![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)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(12,plain,
% 15.33/10.14 ((~![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)))),
% 15.33/10.14 inference(quant_inst,[status(thm)],[])).
% 15.33/10.14 tff(13,plain,
% 15.33/10.14 ((~![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))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[12, 11])).
% 15.33/10.14 tff(14,plain,
% 15.33/10.14 (~m_main_v_state1(s0, c_t1)),
% 15.33/10.14 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 15.33/10.14 tff(15,plain,
% 15.33/10.14 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node8(X))) <=> (m_main_v_state1(X, c_t1) | (~node8(X))))),
% 15.33/10.14 inference(bind,[status(th)],[])).
% 15.33/10.14 tff(16,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 15.33/10.14 inference(quant_intro,[status(thm)],[15])).
% 15.33/10.14 tff(17,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(18,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_36')).
% 15.33/10.14 tff(19,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[18, 17])).
% 15.33/10.14 tff(20,plain,(
% 15.33/10.14 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 15.33/10.14 inference(skolemize,[status(sab)],[19])).
% 15.33/10.14 tff(21,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[20, 16])).
% 15.33/10.14 tff(22,plain,
% 15.33/10.14 (((~![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)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(23,plain,
% 15.33/10.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 15.33/10.14 inference(quant_inst,[status(thm)],[])).
% 15.33/10.14 tff(24,plain,
% 15.33/10.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[23, 22])).
% 15.33/10.14 tff(25,plain,
% 15.33/10.14 (~node8(s0)),
% 15.33/10.14 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 15.33/10.14 tff(26,plain,
% 15.33/10.14 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 15.33/10.14 inference(bind,[status(th)],[])).
% 15.33/10.14 tff(27,plain,
% 15.33/10.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 15.33/10.14 inference(quant_intro,[status(thm)],[26])).
% 15.33/10.14 tff(28,plain,
% 15.33/10.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(29,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound466')).
% 15.33/10.14 tff(30,plain,
% 15.33/10.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[29, 28])).
% 15.33/10.14 tff(31,plain,(
% 15.33/10.14 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 15.33/10.14 inference(skolemize,[status(sab)],[30])).
% 15.33/10.14 tff(32,plain,
% 15.33/10.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[31, 27])).
% 15.33/10.14 tff(33,plain,
% 15.33/10.14 (succ(s0, s1) <=> succ(s0, s1)),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(34,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 15.33/10.14 tff(35,plain,
% 15.33/10.14 (succ(s0, s1)),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[34, 33])).
% 15.33/10.14 tff(36,plain,
% 15.33/10.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(37,plain,
% 15.33/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 15.33/10.14 inference(quant_inst,[status(thm)],[])).
% 15.33/10.14 tff(38,plain,
% 15.33/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[37, 36])).
% 15.33/10.14 tff(39,plain,
% 15.33/10.14 (trans(s0, s1)),
% 15.33/10.14 inference(unit_resolution,[status(thm)],[38, 35, 32])).
% 15.33/10.14 tff(40,plain,
% 15.33/10.14 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node14(X, Y)) <=> ((~trans(X, Y)) | node14(X, Y)))),
% 15.33/10.14 inference(bind,[status(th)],[])).
% 15.33/10.14 tff(41,plain,
% 15.33/10.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 15.33/10.14 inference(quant_intro,[status(thm)],[40])).
% 15.33/10.14 tff(42,plain,
% 15.33/10.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(43,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_55')).
% 15.33/10.14 tff(44,plain,
% 15.33/10.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[43, 42])).
% 15.33/10.14 tff(45,plain,(
% 15.33/10.14 ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 15.33/10.14 inference(skolemize,[status(sab)],[44])).
% 15.33/10.14 tff(46,plain,
% 15.33/10.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[45, 41])).
% 15.33/10.14 tff(47,plain,
% 15.33/10.14 (((~![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))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(48,plain,
% 15.33/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))),
% 15.33/10.14 inference(quant_inst,[status(thm)],[])).
% 15.33/10.14 tff(49,plain,
% 15.33/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1)),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[48, 47])).
% 15.33/10.14 tff(50,plain,
% 15.33/10.14 (node14(s0, s1)),
% 15.33/10.14 inference(unit_resolution,[status(thm)],[49, 46, 39])).
% 15.33/10.14 tff(51,plain,
% 15.33/10.14 (^[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)))),
% 15.33/10.14 inference(bind,[status(th)],[])).
% 15.33/10.14 tff(52,plain,
% 15.33/10.14 (![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))),
% 15.33/10.14 inference(quant_intro,[status(thm)],[51])).
% 15.33/10.14 tff(53,plain,
% 15.33/10.14 (![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))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(54,plain,
% 15.33/10.14 (^[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))))),
% 15.33/10.14 inference(bind,[status(th)],[])).
% 15.33/10.14 tff(55,plain,
% 15.33/10.14 (![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))),
% 15.33/10.14 inference(quant_intro,[status(thm)],[54])).
% 15.33/10.14 tff(56,axiom,(![Y: $i, X: $i] : ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_49')).
% 15.33/10.14 tff(57,plain,
% 15.33/10.14 (![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))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[56, 55])).
% 15.33/10.14 tff(58,plain,
% 15.33/10.14 (![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))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[57, 53])).
% 15.33/10.14 tff(59,plain,(
% 15.33/10.14 ![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))),
% 15.33/10.14 inference(skolemize,[status(sab)],[58])).
% 15.33/10.14 tff(60,plain,
% 15.33/10.14 (![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))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[59, 52])).
% 15.33/10.14 tff(61,plain,
% 15.33/10.14 (m_main_v_state2(s0, c_n2) <=> m_main_v_state2(s0, c_n2)),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(62,axiom,(m_main_v_state2(s0, c_n2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_12')).
% 15.33/10.14 tff(63,plain,
% 15.33/10.14 (m_main_v_state2(s0, c_n2)),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[62, 61])).
% 15.33/10.14 tff(64,plain,
% 15.33/10.14 (((~![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)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(65,plain,
% 15.33/10.14 (((~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)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(66,plain,
% 15.33/10.14 (((~![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))))),
% 15.33/10.14 inference(monotonicity,[status(thm)],[65])).
% 15.33/10.14 tff(67,plain,
% 15.33/10.14 (((~![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)))),
% 15.33/10.14 inference(transitivity,[status(thm)],[66, 64])).
% 15.33/10.14 tff(68,plain,
% 15.33/10.14 ((~![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))),
% 15.33/10.14 inference(quant_inst,[status(thm)],[])).
% 15.33/10.14 tff(69,plain,
% 15.33/10.14 ((~![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))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[68, 67])).
% 15.33/10.14 tff(70,plain,
% 15.33/10.14 (m_main_v_state2(s1, c_t2)),
% 15.33/10.14 inference(unit_resolution,[status(thm)],[69, 3, 63, 60, 50, 25])).
% 15.33/10.14 tff(71,plain,
% 15.33/10.14 (^[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))))),
% 15.33/10.14 inference(bind,[status(th)],[])).
% 15.33/10.14 tff(72,plain,
% 15.33/10.14 (![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)))),
% 15.33/10.14 inference(quant_intro,[status(thm)],[71])).
% 15.33/10.14 tff(73,plain,
% 15.33/10.14 (![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)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(74,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_6')).
% 15.33/10.14 tff(75,plain,
% 15.33/10.14 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[74, 73])).
% 15.33/10.14 tff(76,plain,(
% 15.33/10.14 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 15.33/10.14 inference(skolemize,[status(sab)],[75])).
% 15.33/10.14 tff(77,plain,
% 15.33/10.14 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[76, 72])).
% 15.33/10.14 tff(78,plain,
% 15.33/10.14 (((~![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)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(79,plain,
% 15.33/10.14 ((~![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)))),
% 15.33/10.14 inference(quant_inst,[status(thm)],[])).
% 15.33/10.14 tff(80,plain,
% 15.33/10.14 ((~![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))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[79, 78])).
% 15.33/10.14 tff(81,plain,
% 15.33/10.14 (~m_main_v_state2(s1, c_n2)),
% 15.33/10.14 inference(unit_resolution,[status(thm)],[80, 77, 70])).
% 15.33/10.14 tff(82,plain,
% 15.33/10.14 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node9(X))) <=> (m_main_v_state2(X, c_n2) | (~node9(X))))),
% 15.33/10.14 inference(bind,[status(th)],[])).
% 15.33/10.14 tff(83,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 15.33/10.14 inference(quant_intro,[status(thm)],[82])).
% 15.33/10.14 tff(84,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(85,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_37')).
% 15.33/10.14 tff(86,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[85, 84])).
% 15.33/10.14 tff(87,plain,(
% 15.33/10.14 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 15.33/10.14 inference(skolemize,[status(sab)],[86])).
% 15.33/10.14 tff(88,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[87, 83])).
% 15.33/10.14 tff(89,plain,
% 15.33/10.14 (((~![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)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(90,plain,
% 15.33/10.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 15.33/10.14 inference(quant_inst,[status(thm)],[])).
% 15.33/10.14 tff(91,plain,
% 15.33/10.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[90, 89])).
% 15.33/10.14 tff(92,plain,
% 15.33/10.14 (~node9(s1)),
% 15.33/10.14 inference(unit_resolution,[status(thm)],[91, 88, 81])).
% 15.33/10.14 tff(93,plain,
% 15.33/10.14 (((~![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)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(94,plain,
% 15.33/10.14 ((~![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)))),
% 15.33/10.14 inference(quant_inst,[status(thm)],[])).
% 15.33/10.14 tff(95,plain,
% 15.33/10.14 ((~![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))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[94, 93])).
% 15.33/10.14 tff(96,plain,
% 15.33/10.14 (~m_main_v_state2(s0, c_t2)),
% 15.33/10.14 inference(unit_resolution,[status(thm)],[95, 77, 63])).
% 15.33/10.14 tff(97,plain,
% 15.33/10.14 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node15(X))) <=> (m_main_v_state2(X, c_t2) | (~node15(X))))),
% 15.33/10.14 inference(bind,[status(th)],[])).
% 15.33/10.14 tff(98,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 15.33/10.14 inference(quant_intro,[status(thm)],[97])).
% 15.33/10.14 tff(99,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(100,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_57')).
% 15.33/10.14 tff(101,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[100, 99])).
% 15.33/10.14 tff(102,plain,(
% 15.33/10.14 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 15.33/10.14 inference(skolemize,[status(sab)],[101])).
% 15.33/10.14 tff(103,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[102, 98])).
% 15.33/10.14 tff(104,plain,
% 15.33/10.14 (((~![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)))),
% 15.33/10.14 inference(rewrite,[status(thm)],[])).
% 15.33/10.14 tff(105,plain,
% 15.33/10.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 15.33/10.14 inference(quant_inst,[status(thm)],[])).
% 15.33/10.14 tff(106,plain,
% 15.33/10.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0))),
% 15.33/10.14 inference(modus_ponens,[status(thm)],[105, 104])).
% 15.33/10.14 tff(107,plain,
% 15.33/10.14 (~node15(s0)),
% 15.33/10.14 inference(unit_resolution,[status(thm)],[106, 103, 96])).
% 15.33/10.14 tff(108,plain,
% 15.33/10.14 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node16(X))) <=> (m_main_v_state1(X, c_t1) | (~node16(X))))),
% 15.33/10.14 inference(bind,[status(th)],[])).
% 15.33/10.14 tff(109,plain,
% 15.33/10.14 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 15.35/10.14 inference(quant_intro,[status(thm)],[108])).
% 15.35/10.14 tff(110,plain,
% 15.35/10.14 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 15.35/10.14 inference(rewrite,[status(thm)],[])).
% 15.35/10.14 tff(111,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_59')).
% 15.35/10.14 tff(112,plain,
% 15.35/10.14 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 15.35/10.14 inference(modus_ponens,[status(thm)],[111, 110])).
% 15.35/10.14 tff(113,plain,(
% 15.35/10.14 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 15.35/10.14 inference(skolemize,[status(sab)],[112])).
% 15.35/10.14 tff(114,plain,
% 15.35/10.14 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 15.35/10.14 inference(modus_ponens,[status(thm)],[113, 109])).
% 15.35/10.14 tff(115,plain,
% 15.35/10.14 (((~![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)))),
% 15.35/10.14 inference(rewrite,[status(thm)],[])).
% 15.35/10.14 tff(116,plain,
% 15.35/10.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 15.35/10.14 inference(quant_inst,[status(thm)],[])).
% 15.35/10.14 tff(117,plain,
% 15.35/10.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0))),
% 15.35/10.14 inference(modus_ponens,[status(thm)],[116, 115])).
% 15.35/10.14 tff(118,plain,
% 15.35/10.14 (~node16(s0)),
% 15.35/10.14 inference(unit_resolution,[status(thm)],[117, 114, 14])).
% 15.35/10.14 tff(119,plain,
% 15.35/10.14 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node18(X, Y)) <=> ((~trans(X, Y)) | node18(X, Y)))),
% 15.35/10.14 inference(bind,[status(th)],[])).
% 15.35/10.14 tff(120,plain,
% 15.35/10.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 15.35/10.14 inference(quant_intro,[status(thm)],[119])).
% 15.35/10.14 tff(121,plain,
% 15.35/10.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 15.35/10.14 inference(rewrite,[status(thm)],[])).
% 15.35/10.14 tff(122,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_65')).
% 15.35/10.14 tff(123,plain,
% 15.35/10.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 15.35/10.14 inference(modus_ponens,[status(thm)],[122, 121])).
% 15.35/10.14 tff(124,plain,(
% 15.35/10.14 ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 15.35/10.14 inference(skolemize,[status(sab)],[123])).
% 15.35/10.14 tff(125,plain,
% 15.35/10.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 15.35/10.14 inference(modus_ponens,[status(thm)],[124, 120])).
% 15.35/10.14 tff(126,plain,
% 15.35/10.14 (((~![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))),
% 15.35/10.14 inference(rewrite,[status(thm)],[])).
% 15.35/10.14 tff(127,plain,
% 15.35/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))),
% 15.35/10.14 inference(quant_inst,[status(thm)],[])).
% 15.35/10.14 tff(128,plain,
% 15.35/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1)),
% 15.35/10.14 inference(modus_ponens,[status(thm)],[127, 126])).
% 15.35/10.14 tff(129,plain,
% 15.35/10.14 (node18(s0, s1)),
% 15.35/10.14 inference(unit_resolution,[status(thm)],[128, 125, 39])).
% 15.35/10.14 tff(130,plain,
% 15.35/10.14 (^[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))))),
% 15.35/10.14 inference(bind,[status(th)],[])).
% 15.35/10.14 tff(131,plain,
% 15.35/10.14 (![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)))),
% 15.35/10.14 inference(quant_intro,[status(thm)],[130])).
% 15.35/10.14 tff(132,plain,
% 15.35/10.14 (![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)))),
% 15.35/10.14 inference(rewrite,[status(thm)],[])).
% 15.35/10.14 tff(133,plain,
% 15.35/10.14 (^[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)))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(134,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[133])).
% 15.35/10.15 tff(135,axiom,(![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_64')).
% 15.35/10.15 tff(136,plain,
% 15.35/10.15 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[135, 134])).
% 15.35/10.15 tff(137,plain,
% 15.35/10.15 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[136, 132])).
% 15.35/10.15 tff(138,plain,(
% 15.35/10.15 ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 15.35/10.15 inference(skolemize,[status(sab)],[137])).
% 15.35/10.15 tff(139,plain,
% 15.35/10.15 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[138, 131])).
% 15.35/10.15 tff(140,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(141,plain,
% 15.35/10.15 ((node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1))) <=> (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(142,plain,
% 15.35/10.15 (((~![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))))),
% 15.35/10.15 inference(monotonicity,[status(thm)],[141])).
% 15.35/10.15 tff(143,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(transitivity,[status(thm)],[142, 140])).
% 15.35/10.15 tff(144,plain,
% 15.35/10.15 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(145,plain,
% 15.35/10.15 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[144, 143])).
% 15.35/10.15 tff(146,plain,
% 15.35/10.15 (node17(s0, s1)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[145, 139, 129, 118, 107])).
% 15.35/10.15 tff(147,plain,
% 15.35/10.15 (m_main_v_turn(s0, c_1) <=> m_main_v_turn(s0, c_1)),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(148,axiom,(m_main_v_turn(s0, c_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_13')).
% 15.35/10.15 tff(149,plain,
% 15.35/10.15 (m_main_v_turn(s0, c_1)),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[148, 147])).
% 15.35/10.15 tff(150,plain,
% 15.35/10.15 (^[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))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(151,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[150])).
% 15.35/10.15 tff(152,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(153,axiom,(![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_10')).
% 15.35/10.15 tff(154,plain,
% 15.35/10.15 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[153, 152])).
% 15.35/10.15 tff(155,plain,(
% 15.35/10.15 ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 15.35/10.15 inference(skolemize,[status(sab)],[154])).
% 15.35/10.15 tff(156,plain,
% 15.35/10.15 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[155, 151])).
% 15.35/10.15 tff(157,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(158,plain,
% 15.35/10.15 ((~![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)))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(159,plain,
% 15.35/10.15 ((~![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))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[158, 157])).
% 15.35/10.15 tff(160,plain,
% 15.35/10.15 (~m_main_v_turn(s0, c_2)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[159, 156, 149])).
% 15.35/10.15 tff(161,plain,
% 15.35/10.15 (^[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))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(162,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[161])).
% 15.35/10.15 tff(163,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(164,plain,
% 15.35/10.15 (^[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))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(165,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[164])).
% 15.35/10.15 tff(166,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_61')).
% 15.35/10.15 tff(167,plain,
% 15.35/10.15 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[166, 165])).
% 15.35/10.15 tff(168,plain,
% 15.35/10.15 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[167, 163])).
% 15.35/10.15 tff(169,plain,(
% 15.35/10.15 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 15.35/10.15 inference(skolemize,[status(sab)],[168])).
% 15.35/10.15 tff(170,plain,
% 15.35/10.15 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[169, 162])).
% 15.35/10.15 tff(171,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(172,plain,
% 15.35/10.15 (((~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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(173,plain,
% 15.35/10.15 (((~![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))))),
% 15.35/10.15 inference(monotonicity,[status(thm)],[172])).
% 15.35/10.15 tff(174,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(transitivity,[status(thm)],[173, 171])).
% 15.35/10.15 tff(175,plain,
% 15.35/10.15 ((~![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)))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(176,plain,
% 15.35/10.15 ((~![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))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[175, 174])).
% 15.35/10.15 tff(177,plain,
% 15.35/10.15 (~m_main_v_turn(s1, c_2)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[176, 170, 160, 146])).
% 15.35/10.15 tff(178,plain,
% 15.35/10.15 (^[X: $i] : refl((m_main_v_turn(X, c_2) | (~node12(X))) <=> (m_main_v_turn(X, c_2) | (~node12(X))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(179,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[178])).
% 15.35/10.15 tff(180,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(181,axiom,(![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_45')).
% 15.35/10.15 tff(182,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[181, 180])).
% 15.35/10.15 tff(183,plain,(
% 15.35/10.15 ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 15.35/10.15 inference(skolemize,[status(sab)],[182])).
% 15.35/10.15 tff(184,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[183, 179])).
% 15.35/10.15 tff(185,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(186,plain,
% 15.35/10.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(187,plain,
% 15.35/10.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[186, 185])).
% 15.35/10.15 tff(188,plain,
% 15.35/10.15 (~node12(s1)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[187, 184, 177])).
% 15.35/10.15 tff(189,plain,
% 15.35/10.15 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node1(X))) <=> (m_main_v_state2(X, c_t2) | (~node1(X))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(190,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[189])).
% 15.35/10.15 tff(191,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(192,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_15')).
% 15.35/10.15 tff(193,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[192, 191])).
% 15.35/10.15 tff(194,plain,(
% 15.35/10.15 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 15.35/10.15 inference(skolemize,[status(sab)],[193])).
% 15.35/10.15 tff(195,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[194, 190])).
% 15.35/10.15 tff(196,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(197,plain,
% 15.35/10.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(198,plain,
% 15.35/10.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[197, 196])).
% 15.35/10.15 tff(199,plain,
% 15.35/10.15 (~node1(s0)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[198, 195, 96])).
% 15.35/10.15 tff(200,plain,
% 15.35/10.15 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node7(X, Y)) <=> ((~trans(X, Y)) | node7(X, Y)))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(201,plain,
% 15.35/10.15 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[200])).
% 15.35/10.15 tff(202,plain,
% 15.35/10.15 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(203,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_34')).
% 15.35/10.15 tff(204,plain,
% 15.35/10.15 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[203, 202])).
% 15.35/10.15 tff(205,plain,(
% 15.35/10.15 ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 15.35/10.15 inference(skolemize,[status(sab)],[204])).
% 15.35/10.15 tff(206,plain,
% 15.35/10.15 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[205, 201])).
% 15.35/10.15 tff(207,plain,
% 15.35/10.15 (((~![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))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(208,plain,
% 15.35/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(209,plain,
% 15.35/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1)),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[208, 207])).
% 15.35/10.15 tff(210,plain,
% 15.35/10.15 (node7(s0, s1)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[209, 206, 39])).
% 15.35/10.15 tff(211,plain,
% 15.35/10.15 (^[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)))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(212,plain,
% 15.35/10.15 (![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))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[211])).
% 15.35/10.15 tff(213,plain,
% 15.35/10.15 (![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))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(214,plain,
% 15.35/10.15 (^[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))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(215,plain,
% 15.35/10.15 (![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))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[214])).
% 15.35/10.15 tff(216,axiom,(![Y: $i, X: $i] : ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_28')).
% 15.35/10.15 tff(217,plain,
% 15.35/10.15 (![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))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[216, 215])).
% 15.35/10.15 tff(218,plain,
% 15.35/10.15 (![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))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[217, 213])).
% 15.35/10.15 tff(219,plain,(
% 15.35/10.15 ![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))),
% 15.35/10.15 inference(skolemize,[status(sab)],[218])).
% 15.35/10.15 tff(220,plain,
% 15.35/10.15 (![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))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[219, 212])).
% 15.35/10.15 tff(221,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(222,plain,
% 15.35/10.15 (((~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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(223,plain,
% 15.35/10.15 (((~![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))))),
% 15.35/10.15 inference(monotonicity,[status(thm)],[222])).
% 15.35/10.15 tff(224,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(transitivity,[status(thm)],[223, 221])).
% 15.35/10.15 tff(225,plain,
% 15.35/10.15 ((~![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))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(226,plain,
% 15.35/10.15 ((~![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))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[225, 224])).
% 15.35/10.15 tff(227,plain,
% 15.35/10.15 (m_main_v_state1(s1, c_t1)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[226, 3, 63, 220, 210, 199])).
% 15.35/10.15 tff(228,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(229,plain,
% 15.35/10.15 ((~![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)))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(230,plain,
% 15.35/10.15 ((~![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))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[229, 228])).
% 15.35/10.15 tff(231,plain,
% 15.35/10.15 (~m_main_v_state1(s1, c_n1)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[230, 10, 227])).
% 15.35/10.15 tff(232,plain,
% 15.35/10.15 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node11(X))) <=> (m_main_v_state1(X, c_n1) | (~node11(X))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(233,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[232])).
% 15.35/10.15 tff(234,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(235,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_42')).
% 15.35/10.15 tff(236,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[235, 234])).
% 15.35/10.15 tff(237,plain,(
% 15.35/10.15 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 15.35/10.15 inference(skolemize,[status(sab)],[236])).
% 15.35/10.15 tff(238,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[237, 233])).
% 15.35/10.15 tff(239,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(240,plain,
% 15.35/10.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(241,plain,
% 15.35/10.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[240, 239])).
% 15.35/10.15 tff(242,plain,
% 15.35/10.15 (~node11(s1)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[241, 238, 231])).
% 15.35/10.15 tff(243,plain,
% 15.35/10.15 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node10(X))) <=> (m_main_v_state2(X, c_n2) | (~node10(X))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(244,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[243])).
% 15.35/10.15 tff(245,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(246,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_39')).
% 15.35/10.15 tff(247,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[246, 245])).
% 15.35/10.15 tff(248,plain,(
% 15.35/10.15 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 15.35/10.15 inference(skolemize,[status(sab)],[247])).
% 15.35/10.15 tff(249,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[248, 244])).
% 15.35/10.15 tff(250,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(251,plain,
% 15.35/10.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(252,plain,
% 15.35/10.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[251, 250])).
% 15.35/10.15 tff(253,plain,
% 15.35/10.15 (~node10(s1)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[252, 249, 81])).
% 15.35/10.15 tff(254,plain,
% 15.35/10.15 (^[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))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(255,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[254])).
% 15.35/10.15 tff(256,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(257,axiom,(![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_8')).
% 15.35/10.15 tff(258,plain,
% 15.35/10.15 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[257, 256])).
% 15.35/10.15 tff(259,plain,(
% 15.35/10.15 ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 15.35/10.15 inference(skolemize,[status(sab)],[258])).
% 15.35/10.15 tff(260,plain,
% 15.35/10.15 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[259, 255])).
% 15.35/10.15 tff(261,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(262,plain,
% 15.35/10.15 ((~![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)))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(263,plain,
% 15.35/10.15 ((~![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))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[262, 261])).
% 15.35/10.15 tff(264,plain,
% 15.35/10.15 (~m_main_v_state2(s1, c_c2)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[263, 260, 70])).
% 15.35/10.15 tff(265,plain,
% 15.35/10.15 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node8(X))) <=> (m_main_v_state2(X, c_n2) | (~node8(X))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(266,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[265])).
% 15.35/10.15 tff(267,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(268,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_35')).
% 15.35/10.15 tff(269,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[268, 267])).
% 15.35/10.15 tff(270,plain,(
% 15.35/10.15 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 15.35/10.15 inference(skolemize,[status(sab)],[269])).
% 15.35/10.15 tff(271,plain,
% 15.35/10.15 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[270, 266])).
% 15.35/10.15 tff(272,plain,
% 15.35/10.15 (((~![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)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(273,plain,
% 15.35/10.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(274,plain,
% 15.35/10.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[273, 272])).
% 15.35/10.15 tff(275,plain,
% 15.35/10.15 (~node8(s1)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[274, 271, 81])).
% 15.35/10.15 tff(276,plain,
% 15.35/10.15 (succ(s1, s2) <=> succ(s1, s2)),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(277,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 15.35/10.15 tff(278,plain,
% 15.35/10.15 (succ(s1, s2)),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[277, 276])).
% 15.35/10.15 tff(279,plain,
% 15.35/10.15 (((~![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))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(280,plain,
% 15.35/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(281,plain,
% 15.35/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[280, 279])).
% 15.35/10.15 tff(282,plain,
% 15.35/10.15 (trans(s1, s2)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[281, 278, 32])).
% 15.35/10.15 tff(283,plain,
% 15.35/10.15 (((~![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))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(284,plain,
% 15.35/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))),
% 15.35/10.15 inference(quant_inst,[status(thm)],[])).
% 15.35/10.15 tff(285,plain,
% 15.35/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2)),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[284, 283])).
% 15.35/10.15 tff(286,plain,
% 15.35/10.15 (node14(s1, s2)),
% 15.35/10.15 inference(unit_resolution,[status(thm)],[285, 46, 282])).
% 15.35/10.15 tff(287,plain,
% 15.35/10.15 (^[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))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(288,plain,
% 15.35/10.15 (![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))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[287])).
% 15.35/10.15 tff(289,plain,
% 15.35/10.15 (![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))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 15.35/10.15 inference(rewrite,[status(thm)],[])).
% 15.35/10.15 tff(290,plain,
% 15.35/10.15 (^[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)))))),
% 15.35/10.15 inference(bind,[status(th)],[])).
% 15.35/10.15 tff(291,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(quant_intro,[status(thm)],[290])).
% 15.35/10.15 tff(292,axiom,(![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_54')).
% 15.35/10.15 tff(293,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[292, 291])).
% 15.35/10.15 tff(294,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[293, 289])).
% 15.35/10.15 tff(295,plain,(
% 15.35/10.15 ![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)))),
% 15.35/10.15 inference(skolemize,[status(sab)],[294])).
% 15.35/10.15 tff(296,plain,
% 15.35/10.15 (![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)))),
% 15.35/10.15 inference(modus_ponens,[status(thm)],[295, 288])).
% 15.35/10.16 tff(297,plain,
% 15.35/10.16 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(298,plain,
% 15.35/10.16 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(299,plain,
% 15.35/10.16 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[298, 297])).
% 15.35/10.16 tff(300,plain,
% 15.35/10.16 (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[299, 296, 286])).
% 15.35/10.16 tff(301,plain,
% 15.35/10.16 (node13(s1, s2)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[300, 275, 264, 253, 242, 188, 92])).
% 15.35/10.16 tff(302,plain,
% 15.35/10.16 (^[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))))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(303,plain,
% 15.35/10.16 (![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)))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[302])).
% 15.35/10.16 tff(304,plain,
% 15.35/10.16 (![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(305,plain,
% 15.35/10.16 (^[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))))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(306,plain,
% 15.35/10.16 (![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)))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[305])).
% 15.35/10.16 tff(307,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_47')).
% 15.35/10.16 tff(308,plain,
% 15.35/10.16 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[307, 306])).
% 15.35/10.16 tff(309,plain,
% 15.35/10.16 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[308, 304])).
% 15.35/10.16 tff(310,plain,(
% 15.35/10.16 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 15.35/10.16 inference(skolemize,[status(sab)],[309])).
% 15.35/10.16 tff(311,plain,
% 15.35/10.16 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[310, 303])).
% 15.35/10.16 tff(312,plain,
% 15.35/10.16 (((~![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(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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(313,plain,
% 15.35/10.16 (((~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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(314,plain,
% 15.35/10.16 (((~![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))))),
% 15.35/10.16 inference(monotonicity,[status(thm)],[313])).
% 15.35/10.16 tff(315,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(transitivity,[status(thm)],[314, 312])).
% 15.35/10.16 tff(316,plain,
% 15.35/10.16 ((~![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)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(317,plain,
% 15.35/10.16 ((~![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(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[316, 315])).
% 15.35/10.16 tff(318,plain,
% 15.35/10.16 (~m_main_v_state2(s2, c_n2)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[317, 311, 81, 301])).
% 15.35/10.16 tff(319,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(320,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(321,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[320, 319])).
% 15.35/10.16 tff(322,plain,
% 15.35/10.16 (~node9(s2)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[321, 88, 318])).
% 15.35/10.16 tff(323,plain,
% 15.35/10.16 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node16(X))) <=> (m_main_v_state2(X, c_n2) | (~node16(X))))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(324,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[323])).
% 15.35/10.16 tff(325,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(326,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_58')).
% 15.35/10.16 tff(327,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[326, 325])).
% 15.35/10.16 tff(328,plain,(
% 15.35/10.16 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 15.35/10.16 inference(skolemize,[status(sab)],[327])).
% 15.35/10.16 tff(329,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[328, 324])).
% 15.35/10.16 tff(330,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(331,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(332,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[331, 330])).
% 15.35/10.16 tff(333,plain,
% 15.35/10.16 (~node16(s1)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[332, 329, 81])).
% 15.35/10.16 tff(334,plain,
% 15.35/10.16 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node15(X))) <=> (m_main_v_state1(X, c_n1) | (~node15(X))))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(335,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[334])).
% 15.35/10.16 tff(336,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(337,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_56')).
% 15.35/10.16 tff(338,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[337, 336])).
% 15.35/10.16 tff(339,plain,(
% 15.35/10.16 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 15.35/10.16 inference(skolemize,[status(sab)],[338])).
% 15.35/10.16 tff(340,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[339, 335])).
% 15.35/10.16 tff(341,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(342,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(343,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[342, 341])).
% 15.35/10.16 tff(344,plain,
% 15.35/10.16 (~node15(s1)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[343, 340, 231])).
% 15.35/10.16 tff(345,plain,
% 15.35/10.16 (((~![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))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(346,plain,
% 15.35/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(347,plain,
% 15.35/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2)),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[346, 345])).
% 15.35/10.16 tff(348,plain,
% 15.35/10.16 (node18(s1, s2)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[347, 125, 282])).
% 15.35/10.16 tff(349,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(350,plain,
% 15.35/10.16 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(351,plain,
% 15.35/10.16 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[350, 349])).
% 15.35/10.16 tff(352,plain,
% 15.35/10.16 (node15(s1) | node16(s1) | node17(s1, s2)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[351, 139, 348])).
% 15.35/10.16 tff(353,plain,
% 15.35/10.16 (node17(s1, s2)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[352, 344, 333])).
% 15.35/10.16 tff(354,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(355,plain,
% 15.35/10.16 (((~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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(356,plain,
% 15.35/10.16 (((~![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))))),
% 15.35/10.16 inference(monotonicity,[status(thm)],[355])).
% 15.35/10.16 tff(357,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(transitivity,[status(thm)],[356, 354])).
% 15.35/10.16 tff(358,plain,
% 15.35/10.16 ((~![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)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(359,plain,
% 15.35/10.16 ((~![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))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[358, 357])).
% 15.35/10.16 tff(360,plain,
% 15.35/10.16 (~m_main_v_turn(s2, c_2)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[359, 170, 353, 177])).
% 15.35/10.16 tff(361,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(362,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(363,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[362, 361])).
% 15.35/10.16 tff(364,plain,
% 15.35/10.16 (~node12(s2)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[363, 184, 360])).
% 15.35/10.16 tff(365,plain,
% 15.35/10.16 (^[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)))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(366,plain,
% 15.35/10.16 (![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))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[365])).
% 15.35/10.16 tff(367,plain,
% 15.35/10.16 (![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))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(368,plain,
% 15.35/10.16 (^[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))))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(369,plain,
% 15.35/10.16 (![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))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[368])).
% 15.35/10.16 tff(370,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_60')).
% 15.35/10.16 tff(371,plain,
% 15.35/10.16 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[370, 369])).
% 15.35/10.16 tff(372,plain,
% 15.35/10.16 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[371, 367])).
% 15.35/10.16 tff(373,plain,(
% 15.35/10.16 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 15.35/10.16 inference(skolemize,[status(sab)],[372])).
% 15.35/10.16 tff(374,plain,
% 15.35/10.16 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[373, 366])).
% 15.35/10.16 tff(375,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(376,plain,
% 15.35/10.16 (((~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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(377,plain,
% 15.35/10.16 (((~![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))))),
% 15.35/10.16 inference(monotonicity,[status(thm)],[376])).
% 15.35/10.16 tff(378,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(transitivity,[status(thm)],[377, 375])).
% 15.35/10.16 tff(379,plain,
% 15.35/10.16 ((~![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))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(380,plain,
% 15.35/10.16 ((~![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))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[379, 378])).
% 15.35/10.16 tff(381,plain,
% 15.35/10.16 (m_main_v_turn(s1, c_1)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[380, 149, 374, 146])).
% 15.35/10.16 tff(382,plain,
% 15.35/10.16 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node4(X))) <=> (m_main_v_state2(X, c_n2) | (~node4(X))))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(383,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[382])).
% 15.35/10.16 tff(384,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(385,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_21')).
% 15.35/10.16 tff(386,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[385, 384])).
% 15.35/10.16 tff(387,plain,(
% 15.35/10.16 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 15.35/10.16 inference(skolemize,[status(sab)],[386])).
% 15.35/10.16 tff(388,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[387, 383])).
% 15.35/10.16 tff(389,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(390,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(391,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[390, 389])).
% 15.35/10.16 tff(392,plain,
% 15.35/10.16 (~node4(s1)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[391, 388, 81])).
% 15.35/10.16 tff(393,plain,
% 15.35/10.16 (^[X: $i] : refl((m_main_v_state2(X, c_c2) | (~node3(X))) <=> (m_main_v_state2(X, c_c2) | (~node3(X))))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(394,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[393])).
% 15.35/10.16 tff(395,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(396,axiom,(![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_19')).
% 15.35/10.16 tff(397,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[396, 395])).
% 15.35/10.16 tff(398,plain,(
% 15.35/10.16 ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 15.35/10.16 inference(skolemize,[status(sab)],[397])).
% 15.35/10.16 tff(399,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[398, 394])).
% 15.35/10.16 tff(400,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(401,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(402,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[401, 400])).
% 15.35/10.16 tff(403,plain,
% 15.35/10.16 (~node3(s1)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[402, 399, 264])).
% 15.35/10.16 tff(404,plain,
% 15.35/10.16 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node2(X))) <=> (m_main_v_state2(X, c_n2) | (~node2(X))))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(405,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[404])).
% 15.35/10.16 tff(406,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(407,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_17')).
% 15.35/10.16 tff(408,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[407, 406])).
% 15.35/10.16 tff(409,plain,(
% 15.35/10.16 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 15.35/10.16 inference(skolemize,[status(sab)],[408])).
% 15.35/10.16 tff(410,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[409, 405])).
% 15.35/10.16 tff(411,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(412,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(413,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[412, 411])).
% 15.35/10.16 tff(414,plain,
% 15.35/10.16 (~node2(s1)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[413, 410, 81])).
% 15.35/10.16 tff(415,plain,
% 15.35/10.16 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node1(X))) <=> (m_main_v_state1(X, c_n1) | (~node1(X))))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(416,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[415])).
% 15.35/10.16 tff(417,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(418,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_14')).
% 15.35/10.16 tff(419,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[418, 417])).
% 15.35/10.16 tff(420,plain,(
% 15.35/10.16 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 15.35/10.16 inference(skolemize,[status(sab)],[419])).
% 15.35/10.16 tff(421,plain,
% 15.35/10.16 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[420, 416])).
% 15.35/10.16 tff(422,plain,
% 15.35/10.16 (((~![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)))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(423,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(424,plain,
% 15.35/10.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1))),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[423, 422])).
% 15.35/10.16 tff(425,plain,
% 15.35/10.16 (~node1(s1)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[424, 421, 231])).
% 15.35/10.16 tff(426,plain,
% 15.35/10.16 (((~![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))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(427,plain,
% 15.35/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))),
% 15.35/10.16 inference(quant_inst,[status(thm)],[])).
% 15.35/10.16 tff(428,plain,
% 15.35/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2)),
% 15.35/10.16 inference(modus_ponens,[status(thm)],[427, 426])).
% 15.35/10.16 tff(429,plain,
% 15.35/10.16 (node7(s1, s2)),
% 15.35/10.16 inference(unit_resolution,[status(thm)],[428, 206, 282])).
% 15.35/10.16 tff(430,plain,
% 15.35/10.16 (^[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)))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(431,plain,
% 15.35/10.16 (![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))),
% 15.35/10.16 inference(quant_intro,[status(thm)],[430])).
% 15.35/10.16 tff(432,plain,
% 15.35/10.16 (![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))),
% 15.35/10.16 inference(rewrite,[status(thm)],[])).
% 15.35/10.16 tff(433,plain,
% 15.35/10.16 (^[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))))),
% 15.35/10.16 inference(bind,[status(th)],[])).
% 15.35/10.16 tff(434,plain,
% 15.35/10.16 (![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))),
% 15.35/10.17 inference(quant_intro,[status(thm)],[433])).
% 15.35/10.17 tff(435,axiom,(![Y: $i, X: $i] : ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_31')).
% 15.35/10.17 tff(436,plain,
% 15.35/10.17 (![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))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[435, 434])).
% 15.35/10.17 tff(437,plain,
% 15.35/10.17 (![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))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[436, 432])).
% 15.35/10.17 tff(438,plain,(
% 15.35/10.17 ![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))),
% 15.35/10.17 inference(skolemize,[status(sab)],[437])).
% 15.35/10.17 tff(439,plain,
% 15.35/10.17 (![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))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[438, 431])).
% 15.35/10.17 tff(440,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(441,plain,
% 15.35/10.17 (((~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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(442,plain,
% 15.35/10.17 (((~![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))))),
% 15.35/10.17 inference(monotonicity,[status(thm)],[441])).
% 15.35/10.17 tff(443,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(transitivity,[status(thm)],[442, 440])).
% 15.35/10.17 tff(444,plain,
% 15.35/10.17 ((~![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))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(445,plain,
% 15.35/10.17 ((~![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))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[444, 443])).
% 15.35/10.17 tff(446,plain,
% 15.35/10.17 (m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~m_main_v_turn(s1, c_1))),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[445, 439, 429, 70, 227])).
% 15.35/10.17 tff(447,plain,
% 15.35/10.17 (m_main_v_state1(s2, c_c1)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[446, 425, 414, 403, 392, 381])).
% 15.35/10.17 tff(448,plain,
% 15.35/10.17 (^[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))))),
% 15.35/10.17 inference(bind,[status(th)],[])).
% 15.35/10.17 tff(449,plain,
% 15.35/10.17 (![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)))),
% 15.35/10.17 inference(quant_intro,[status(thm)],[448])).
% 15.35/10.17 tff(450,plain,
% 15.35/10.17 (![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(451,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_3')).
% 15.35/10.17 tff(452,plain,
% 15.35/10.17 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[451, 450])).
% 15.35/10.17 tff(453,plain,(
% 15.35/10.17 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 15.35/10.17 inference(skolemize,[status(sab)],[452])).
% 15.35/10.17 tff(454,plain,
% 15.35/10.17 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[453, 449])).
% 15.35/10.17 tff(455,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(456,plain,
% 15.35/10.17 ((~![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)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(457,plain,
% 15.35/10.17 ((~![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))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[456, 455])).
% 15.35/10.17 tff(458,plain,
% 15.35/10.17 (~m_main_v_state1(s2, c_n1)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[457, 454, 447])).
% 15.35/10.17 tff(459,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(460,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(461,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[460, 459])).
% 15.35/10.17 tff(462,plain,
% 15.35/10.17 (~node11(s2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[461, 238, 458])).
% 15.35/10.17 tff(463,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(464,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(465,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[464, 463])).
% 15.35/10.17 tff(466,plain,
% 15.35/10.17 (~node10(s2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[465, 249, 318])).
% 15.35/10.17 tff(467,plain,
% 15.35/10.17 (((~![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(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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(468,plain,
% 15.35/10.17 (((~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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(469,plain,
% 15.35/10.17 (((~![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))))),
% 15.35/10.17 inference(monotonicity,[status(thm)],[468])).
% 15.35/10.17 tff(470,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(transitivity,[status(thm)],[469, 467])).
% 15.35/10.17 tff(471,plain,
% 15.35/10.17 ((~![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)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(472,plain,
% 15.35/10.17 ((~![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(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[471, 470])).
% 15.35/10.17 tff(473,plain,
% 15.35/10.17 (~m_main_v_state2(s2, c_c2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[472, 311, 264, 301])).
% 15.35/10.17 tff(474,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(475,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(476,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[475, 474])).
% 15.35/10.17 tff(477,plain,
% 15.35/10.17 (~node8(s2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[476, 271, 318])).
% 15.35/10.17 tff(478,plain,
% 15.35/10.17 (succ(s2, s3) <=> succ(s2, s3)),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(479,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 15.35/10.17 tff(480,plain,
% 15.35/10.17 (succ(s2, s3)),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[479, 478])).
% 15.35/10.17 tff(481,plain,
% 15.35/10.17 (((~![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))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(482,plain,
% 15.35/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(483,plain,
% 15.35/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[482, 481])).
% 15.35/10.17 tff(484,plain,
% 15.35/10.17 (trans(s2, s3)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[483, 480, 32])).
% 15.35/10.17 tff(485,plain,
% 15.35/10.17 (((~![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))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(486,plain,
% 15.35/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(487,plain,
% 15.35/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3)),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[486, 485])).
% 15.35/10.17 tff(488,plain,
% 15.35/10.17 (node14(s2, s3)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[487, 46, 484])).
% 15.35/10.17 tff(489,plain,
% 15.35/10.17 (((~![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(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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(490,plain,
% 15.35/10.17 ((~![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(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(491,plain,
% 15.35/10.17 ((~![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(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[490, 489])).
% 15.35/10.17 tff(492,plain,
% 15.35/10.17 (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[491, 296, 488])).
% 15.35/10.17 tff(493,plain,
% 15.35/10.17 (node13(s2, s3)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[492, 477, 473, 466, 462, 364, 322])).
% 15.35/10.17 tff(494,plain,
% 15.35/10.17 (((~![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(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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(495,plain,
% 15.35/10.17 (((~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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(496,plain,
% 15.35/10.17 (((~![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))))),
% 15.35/10.17 inference(monotonicity,[status(thm)],[495])).
% 15.35/10.17 tff(497,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(transitivity,[status(thm)],[496, 494])).
% 15.35/10.17 tff(498,plain,
% 15.35/10.17 ((~![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)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(499,plain,
% 15.35/10.17 ((~![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(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[498, 497])).
% 15.35/10.17 tff(500,plain,
% 15.35/10.17 (~m_main_v_state2(s3, c_n2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[499, 311, 318, 493])).
% 15.35/10.17 tff(501,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(502,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(503,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[502, 501])).
% 15.35/10.17 tff(504,plain,
% 15.35/10.17 (~node9(s3)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[503, 88, 500])).
% 15.35/10.17 tff(505,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(506,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(507,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[506, 505])).
% 15.35/10.17 tff(508,plain,
% 15.35/10.17 (~node10(s3)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[507, 249, 500])).
% 15.35/10.17 tff(509,plain,
% 15.35/10.17 (^[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)))),
% 15.35/10.17 inference(bind,[status(th)],[])).
% 15.35/10.17 tff(510,plain,
% 15.35/10.17 (![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))),
% 15.35/10.17 inference(quant_intro,[status(thm)],[509])).
% 15.35/10.17 tff(511,plain,
% 15.35/10.17 (![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))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(512,plain,
% 15.35/10.17 (^[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))))),
% 15.35/10.17 inference(bind,[status(th)],[])).
% 15.35/10.17 tff(513,plain,
% 15.35/10.17 (![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))),
% 15.35/10.17 inference(quant_intro,[status(thm)],[512])).
% 15.35/10.17 tff(514,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_46')).
% 15.35/10.17 tff(515,plain,
% 15.35/10.17 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[514, 513])).
% 15.35/10.17 tff(516,plain,
% 15.35/10.17 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[515, 511])).
% 15.35/10.17 tff(517,plain,(
% 15.35/10.17 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 15.35/10.17 inference(skolemize,[status(sab)],[516])).
% 15.35/10.17 tff(518,plain,
% 15.35/10.17 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[517, 510])).
% 15.35/10.17 tff(519,plain,
% 15.35/10.17 (((~![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(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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(520,plain,
% 15.35/10.17 (((~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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(521,plain,
% 15.35/10.17 (((~![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))))),
% 15.35/10.17 inference(monotonicity,[status(thm)],[520])).
% 15.35/10.17 tff(522,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(transitivity,[status(thm)],[521, 519])).
% 15.35/10.17 tff(523,plain,
% 15.35/10.17 ((~![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))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(524,plain,
% 15.35/10.17 ((~![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(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[523, 522])).
% 15.35/10.17 tff(525,plain,
% 15.35/10.17 (m_main_v_state2(s2, c_t2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[524, 518, 70, 301])).
% 15.35/10.17 tff(526,plain,
% 15.35/10.17 (((~![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(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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(527,plain,
% 15.35/10.17 (((~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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(528,plain,
% 15.35/10.17 (((~![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))))),
% 15.35/10.17 inference(monotonicity,[status(thm)],[527])).
% 15.35/10.17 tff(529,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(transitivity,[status(thm)],[528, 526])).
% 15.35/10.17 tff(530,plain,
% 15.35/10.17 ((~![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))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(531,plain,
% 15.35/10.17 ((~![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(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[530, 529])).
% 15.35/10.17 tff(532,plain,
% 15.35/10.17 (m_main_v_state2(s3, c_t2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[531, 518, 525, 493])).
% 15.35/10.17 tff(533,plain,
% 15.35/10.17 (^[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))))),
% 15.35/10.17 inference(bind,[status(th)],[])).
% 15.35/10.17 tff(534,plain,
% 15.35/10.17 (![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)))),
% 15.35/10.17 inference(quant_intro,[status(thm)],[533])).
% 15.35/10.17 tff(535,plain,
% 15.35/10.17 (![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(536,axiom,(![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_4')).
% 15.35/10.17 tff(537,plain,
% 15.35/10.17 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[536, 535])).
% 15.35/10.17 tff(538,plain,(
% 15.35/10.17 ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 15.35/10.17 inference(skolemize,[status(sab)],[537])).
% 15.35/10.17 tff(539,plain,
% 15.35/10.17 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[538, 534])).
% 15.35/10.17 tff(540,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(541,plain,
% 15.35/10.17 ((~![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)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(542,plain,
% 15.35/10.17 ((~![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))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[541, 540])).
% 15.35/10.17 tff(543,plain,
% 15.35/10.17 (~m_main_v_state1(s2, c_t1)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[542, 539, 447])).
% 15.35/10.17 tff(544,plain,
% 15.35/10.17 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node5(X))) <=> (m_main_v_state1(X, c_t1) | (~node5(X))))),
% 15.35/10.17 inference(bind,[status(th)],[])).
% 15.35/10.17 tff(545,plain,
% 15.35/10.17 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 15.35/10.17 inference(quant_intro,[status(thm)],[544])).
% 15.35/10.17 tff(546,plain,
% 15.35/10.17 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(547,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_22')).
% 15.35/10.17 tff(548,plain,
% 15.35/10.17 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[547, 546])).
% 15.35/10.17 tff(549,plain,(
% 15.35/10.17 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 15.35/10.17 inference(skolemize,[status(sab)],[548])).
% 15.35/10.17 tff(550,plain,
% 15.35/10.17 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[549, 545])).
% 15.35/10.17 tff(551,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(552,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(553,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[552, 551])).
% 15.35/10.17 tff(554,plain,
% 15.35/10.17 (~node5(s2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[553, 550, 543])).
% 15.35/10.17 tff(555,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(556,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(557,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[556, 555])).
% 15.35/10.17 tff(558,plain,
% 15.35/10.17 (~node4(s2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[557, 388, 318])).
% 15.35/10.17 tff(559,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(560,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(561,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[560, 559])).
% 15.35/10.17 tff(562,plain,
% 15.35/10.17 (~node3(s2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[561, 399, 473])).
% 15.35/10.17 tff(563,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(564,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(565,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[564, 563])).
% 15.35/10.17 tff(566,plain,
% 15.35/10.17 (~node2(s2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[565, 410, 318])).
% 15.35/10.17 tff(567,plain,
% 15.35/10.17 (((~![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)))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(568,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(569,plain,
% 15.35/10.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2))),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[568, 567])).
% 15.35/10.17 tff(570,plain,
% 15.35/10.17 (~node1(s2)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[569, 421, 458])).
% 15.35/10.17 tff(571,plain,
% 15.35/10.17 (((~![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))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(572,plain,
% 15.35/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))),
% 15.35/10.17 inference(quant_inst,[status(thm)],[])).
% 15.35/10.17 tff(573,plain,
% 15.35/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3)),
% 15.35/10.17 inference(modus_ponens,[status(thm)],[572, 571])).
% 15.35/10.17 tff(574,plain,
% 15.35/10.17 (node7(s2, s3)),
% 15.35/10.17 inference(unit_resolution,[status(thm)],[573, 206, 484])).
% 15.35/10.17 tff(575,plain,
% 15.35/10.17 (^[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)))),
% 15.35/10.17 inference(bind,[status(th)],[])).
% 15.35/10.17 tff(576,plain,
% 15.35/10.17 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 15.35/10.17 inference(quant_intro,[status(thm)],[575])).
% 15.35/10.17 tff(577,plain,
% 15.35/10.17 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 15.35/10.17 inference(rewrite,[status(thm)],[])).
% 15.35/10.17 tff(578,plain,
% 15.35/10.17 (^[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))))),
% 15.35/10.18 inference(bind,[status(th)],[])).
% 15.35/10.18 tff(579,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(quant_intro,[status(thm)],[578])).
% 15.35/10.18 tff(580,axiom,(![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_32')).
% 15.35/10.18 tff(581,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[580, 579])).
% 15.35/10.18 tff(582,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[581, 577])).
% 15.35/10.18 tff(583,plain,(
% 15.35/10.18 ![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))),
% 15.35/10.18 inference(skolemize,[status(sab)],[582])).
% 15.35/10.18 tff(584,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[583, 576])).
% 15.35/10.18 tff(585,plain,
% 15.35/10.18 (((~![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(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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(586,plain,
% 15.35/10.18 (((~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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(587,plain,
% 15.35/10.18 (((~![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(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))))),
% 15.35/10.18 inference(monotonicity,[status(thm)],[586])).
% 15.35/10.18 tff(588,plain,
% 15.35/10.18 (((~![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(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)))),
% 15.35/10.18 inference(transitivity,[status(thm)],[587, 585])).
% 15.35/10.18 tff(589,plain,
% 15.35/10.18 ((~![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(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(590,plain,
% 15.35/10.18 ((~![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(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[589, 588])).
% 15.35/10.18 tff(591,plain,
% 15.35/10.18 (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[590, 584, 574])).
% 15.35/10.18 tff(592,plain,
% 15.35/10.18 (m_main_v_state1(s3, c_n1)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[591, 570, 447, 566, 562, 558, 554])).
% 15.35/10.18 tff(593,plain,
% 15.35/10.18 (((~![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(594,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(595,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[594, 593])).
% 15.35/10.18 tff(596,plain,
% 15.35/10.18 (~node8(s3)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[595, 271, 500])).
% 15.35/10.18 tff(597,plain,
% 15.35/10.18 (succ(s3, s4) <=> succ(s3, s4)),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(598,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 15.35/10.18 tff(599,plain,
% 15.35/10.18 (succ(s3, s4)),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[598, 597])).
% 15.35/10.18 tff(600,plain,
% 15.35/10.18 (((~![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))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(601,plain,
% 15.35/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(602,plain,
% 15.35/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[601, 600])).
% 15.35/10.18 tff(603,plain,
% 15.35/10.18 (trans(s3, s4)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[602, 599, 32])).
% 15.35/10.18 tff(604,plain,
% 15.35/10.18 (((~![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))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(605,plain,
% 15.35/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(606,plain,
% 15.35/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4)),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[605, 604])).
% 15.35/10.18 tff(607,plain,
% 15.35/10.18 (node14(s3, s4)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[606, 46, 603])).
% 15.35/10.18 tff(608,plain,
% 15.35/10.18 (^[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)))),
% 15.35/10.18 inference(bind,[status(th)],[])).
% 15.35/10.18 tff(609,plain,
% 15.35/10.18 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 15.35/10.18 inference(quant_intro,[status(thm)],[608])).
% 15.35/10.18 tff(610,plain,
% 15.35/10.18 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(611,plain,
% 15.35/10.18 (^[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))))),
% 15.35/10.18 inference(bind,[status(th)],[])).
% 15.35/10.18 tff(612,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(quant_intro,[status(thm)],[611])).
% 15.35/10.18 tff(613,axiom,(![Y: $i, X: $i] : ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_51')).
% 15.35/10.18 tff(614,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[613, 612])).
% 15.35/10.18 tff(615,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[614, 610])).
% 15.35/10.18 tff(616,plain,(
% 15.35/10.18 ![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))),
% 15.35/10.18 inference(skolemize,[status(sab)],[615])).
% 15.35/10.18 tff(617,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[616, 609])).
% 15.35/10.18 tff(618,plain,
% 15.35/10.18 (((~![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(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))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(619,plain,
% 15.35/10.18 ((~![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(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))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(620,plain,
% 15.35/10.18 ((~![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(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)),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[619, 618])).
% 15.35/10.18 tff(621,plain,
% 15.35/10.18 ((~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)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[620, 617, 607])).
% 15.35/10.18 tff(622,plain,
% 15.35/10.18 (m_main_v_state2(s4, c_c2)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[621, 596, 592, 532, 508, 504])).
% 15.35/10.18 tff(623,plain,
% 15.35/10.18 (((~![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(624,plain,
% 15.35/10.18 ((~![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)))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(625,plain,
% 15.35/10.18 ((~![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[624, 623])).
% 15.35/10.18 tff(626,plain,
% 15.35/10.18 (~m_main_v_state2(s4, c_t2)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[625, 260, 622])).
% 15.35/10.18 tff(627,plain,
% 15.35/10.18 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node12(X))) <=> (m_main_v_state2(X, c_t2) | (~node12(X))))),
% 15.35/10.18 inference(bind,[status(th)],[])).
% 15.35/10.18 tff(628,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 15.35/10.18 inference(quant_intro,[status(thm)],[627])).
% 15.35/10.18 tff(629,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(630,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_43')).
% 15.35/10.18 tff(631,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[630, 629])).
% 15.35/10.18 tff(632,plain,(
% 15.35/10.18 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 15.35/10.18 inference(skolemize,[status(sab)],[631])).
% 15.35/10.18 tff(633,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[632, 628])).
% 15.35/10.18 tff(634,plain,
% 15.35/10.18 (((~![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(635,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(636,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[635, 634])).
% 15.35/10.18 tff(637,plain,
% 15.35/10.18 (~node12(s4)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[636, 633, 626])).
% 15.35/10.18 tff(638,plain,
% 15.35/10.18 (((~![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))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(639,plain,
% 15.35/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(640,plain,
% 15.35/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4)),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[639, 638])).
% 15.35/10.18 tff(641,plain,
% 15.35/10.18 (node7(s3, s4)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[640, 206, 603])).
% 15.35/10.18 tff(642,plain,
% 15.35/10.18 (^[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)))),
% 15.35/10.18 inference(bind,[status(th)],[])).
% 15.35/10.18 tff(643,plain,
% 15.35/10.18 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 15.35/10.18 inference(quant_intro,[status(thm)],[642])).
% 15.35/10.18 tff(644,plain,
% 15.35/10.18 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(645,plain,
% 15.35/10.18 (^[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))))),
% 15.35/10.18 inference(bind,[status(th)],[])).
% 15.35/10.18 tff(646,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(quant_intro,[status(thm)],[645])).
% 15.35/10.18 tff(647,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_27')).
% 15.35/10.18 tff(648,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[647, 646])).
% 15.35/10.18 tff(649,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[648, 644])).
% 15.35/10.18 tff(650,plain,(
% 15.35/10.18 ![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))),
% 15.35/10.18 inference(skolemize,[status(sab)],[649])).
% 15.35/10.18 tff(651,plain,
% 15.35/10.18 (![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[650, 643])).
% 15.35/10.18 tff(652,plain,
% 15.35/10.18 (((~![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(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))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(653,plain,
% 15.35/10.18 ((~![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(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(654,plain,
% 15.35/10.18 ((~![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(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1)),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[653, 652])).
% 15.35/10.18 tff(655,plain,
% 15.35/10.18 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_state1(s4, c_t1)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[654, 651, 641])).
% 15.35/10.18 tff(656,plain,
% 15.35/10.18 (m_main_v_state1(s4, c_t1)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[655, 532, 592])).
% 15.35/10.18 tff(657,plain,
% 15.35/10.18 (((~![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(658,plain,
% 15.35/10.18 ((~![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)))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(659,plain,
% 15.35/10.18 ((~![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[658, 657])).
% 15.35/10.18 tff(660,plain,
% 15.35/10.18 (~m_main_v_state1(s4, c_n1)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[659, 10, 656])).
% 15.35/10.18 tff(661,plain,
% 15.35/10.18 (((~![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(662,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(663,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[662, 661])).
% 15.35/10.18 tff(664,plain,
% 15.35/10.18 (~node11(s4)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[663, 238, 660])).
% 15.35/10.18 tff(665,plain,
% 15.35/10.18 (((~![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(666,plain,
% 15.35/10.18 ((~![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)))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(667,plain,
% 15.35/10.18 ((~![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[666, 665])).
% 15.35/10.18 tff(668,plain,
% 15.35/10.18 (~m_main_v_state1(s4, c_c1)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[667, 539, 656])).
% 15.35/10.18 tff(669,plain,
% 15.35/10.18 (^[X: $i] : refl((m_main_v_state1(X, c_c1) | (~node10(X))) <=> (m_main_v_state1(X, c_c1) | (~node10(X))))),
% 15.35/10.18 inference(bind,[status(th)],[])).
% 15.35/10.18 tff(670,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 15.35/10.18 inference(quant_intro,[status(thm)],[669])).
% 15.35/10.18 tff(671,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(672,axiom,(![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_40')).
% 15.35/10.18 tff(673,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[672, 671])).
% 15.35/10.18 tff(674,plain,(
% 15.35/10.18 ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 15.35/10.18 inference(skolemize,[status(sab)],[673])).
% 15.35/10.18 tff(675,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[674, 670])).
% 15.35/10.18 tff(676,plain,
% 15.35/10.18 (((~![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(677,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(678,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[677, 676])).
% 15.35/10.18 tff(679,plain,
% 15.35/10.18 (~node10(s4)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[678, 675, 668])).
% 15.35/10.18 tff(680,plain,
% 15.35/10.18 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node9(X))) <=> (m_main_v_state1(X, c_n1) | (~node9(X))))),
% 15.35/10.18 inference(bind,[status(th)],[])).
% 15.35/10.18 tff(681,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 15.35/10.18 inference(quant_intro,[status(thm)],[680])).
% 15.35/10.18 tff(682,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(683,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_38')).
% 15.35/10.18 tff(684,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[683, 682])).
% 15.35/10.18 tff(685,plain,(
% 15.35/10.18 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 15.35/10.18 inference(skolemize,[status(sab)],[684])).
% 15.35/10.18 tff(686,plain,
% 15.35/10.18 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[685, 681])).
% 15.35/10.18 tff(687,plain,
% 15.35/10.18 (((~![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(688,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(689,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[688, 687])).
% 15.35/10.18 tff(690,plain,
% 15.35/10.18 (~node9(s4)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[689, 686, 660])).
% 15.35/10.18 tff(691,plain,
% 15.35/10.18 (^[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))))),
% 15.35/10.18 inference(bind,[status(th)],[])).
% 15.35/10.18 tff(692,plain,
% 15.35/10.18 (![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)))),
% 15.35/10.18 inference(quant_intro,[status(thm)],[691])).
% 15.35/10.18 tff(693,plain,
% 15.35/10.18 (![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(694,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_7')).
% 15.35/10.18 tff(695,plain,
% 15.35/10.18 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[694, 693])).
% 15.35/10.18 tff(696,plain,(
% 15.35/10.18 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 15.35/10.18 inference(skolemize,[status(sab)],[695])).
% 15.35/10.18 tff(697,plain,
% 15.35/10.18 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[696, 692])).
% 15.35/10.18 tff(698,plain,
% 15.35/10.18 (((~![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(699,plain,
% 15.35/10.18 ((~![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)))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(700,plain,
% 15.35/10.18 ((~![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))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[699, 698])).
% 15.35/10.18 tff(701,plain,
% 15.35/10.18 (~m_main_v_state2(s4, c_n2)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[700, 697, 622])).
% 15.35/10.18 tff(702,plain,
% 15.35/10.18 (((~![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)))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(703,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(704,plain,
% 15.35/10.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4))),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[703, 702])).
% 15.35/10.18 tff(705,plain,
% 15.35/10.18 (~node8(s4)),
% 15.35/10.18 inference(unit_resolution,[status(thm)],[704, 271, 701])).
% 15.35/10.18 tff(706,plain,
% 15.35/10.18 (succ(s4, s5) <=> succ(s4, s5)),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(707,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 15.35/10.18 tff(708,plain,
% 15.35/10.18 (succ(s4, s5)),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[707, 706])).
% 15.35/10.18 tff(709,plain,
% 15.35/10.18 (((~![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))),
% 15.35/10.18 inference(rewrite,[status(thm)],[])).
% 15.35/10.18 tff(710,plain,
% 15.35/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 15.35/10.18 inference(quant_inst,[status(thm)],[])).
% 15.35/10.18 tff(711,plain,
% 15.35/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 15.35/10.18 inference(modus_ponens,[status(thm)],[710, 709])).
% 15.35/10.19 tff(712,plain,
% 15.35/10.19 (trans(s4, s5)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[711, 708, 32])).
% 15.35/10.19 tff(713,plain,
% 15.35/10.19 (((~![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))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(714,plain,
% 15.35/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(715,plain,
% 15.35/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5)),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[714, 713])).
% 15.35/10.19 tff(716,plain,
% 15.35/10.19 (node14(s4, s5)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[715, 46, 712])).
% 15.35/10.19 tff(717,plain,
% 15.35/10.19 (^[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)))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(718,plain,
% 15.35/10.19 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[717])).
% 15.35/10.19 tff(719,plain,
% 15.35/10.19 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(720,plain,
% 15.35/10.19 (^[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))))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(721,plain,
% 15.35/10.19 (![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))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[720])).
% 15.35/10.19 tff(722,axiom,(![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_53')).
% 15.35/10.19 tff(723,plain,
% 15.35/10.19 (![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))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[722, 721])).
% 15.35/10.19 tff(724,plain,
% 15.35/10.19 (![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))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[723, 719])).
% 15.35/10.19 tff(725,plain,(
% 15.35/10.19 ![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))),
% 15.35/10.19 inference(skolemize,[status(sab)],[724])).
% 15.35/10.19 tff(726,plain,
% 15.35/10.19 (![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))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[725, 718])).
% 15.35/10.19 tff(727,plain,
% 15.35/10.19 (((~![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(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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(728,plain,
% 15.35/10.19 (((~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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(729,plain,
% 15.35/10.19 (((~![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(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))))),
% 15.35/10.19 inference(monotonicity,[status(thm)],[728])).
% 15.35/10.19 tff(730,plain,
% 15.35/10.19 (((~![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(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)))),
% 15.35/10.19 inference(transitivity,[status(thm)],[729, 727])).
% 15.35/10.19 tff(731,plain,
% 15.35/10.19 ((~![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(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(732,plain,
% 15.35/10.19 ((~![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(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[731, 730])).
% 15.35/10.19 tff(733,plain,
% 15.35/10.19 (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~m_main_v_state2(s4, c_c2))),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[732, 726, 716])).
% 15.35/10.19 tff(734,plain,
% 15.35/10.19 (m_main_v_state2(s5, c_n2)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[733, 705, 622, 690, 679, 664, 637])).
% 15.35/10.19 tff(735,plain,
% 15.35/10.19 (((~![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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(736,plain,
% 15.35/10.19 ((~![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)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(737,plain,
% 15.35/10.19 ((~![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))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[736, 735])).
% 15.35/10.19 tff(738,plain,
% 15.35/10.19 (~m_main_v_state2(s5, c_c2)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[737, 697, 734])).
% 15.35/10.19 tff(739,plain,
% 15.35/10.19 (((~![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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(740,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(741,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[740, 739])).
% 15.35/10.19 tff(742,plain,
% 15.35/10.19 (~node3(s5)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[741, 399, 738])).
% 15.35/10.19 tff(743,plain,
% 15.35/10.19 (((~![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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(744,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(745,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[744, 743])).
% 15.35/10.19 tff(746,plain,
% 15.35/10.19 (~node1(s4)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[745, 421, 660])).
% 15.35/10.19 tff(747,plain,
% 15.35/10.19 (((~![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))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(748,plain,
% 15.35/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(749,plain,
% 15.35/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4)),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[748, 747])).
% 15.35/10.19 tff(750,plain,
% 15.35/10.19 (node18(s3, s4)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[749, 125, 603])).
% 15.35/10.19 tff(751,plain,
% 15.35/10.19 (^[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)))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(752,plain,
% 15.35/10.19 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[751])).
% 15.35/10.19 tff(753,plain,
% 15.35/10.19 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(754,plain,
% 15.35/10.19 (^[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))))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(755,plain,
% 15.35/10.19 (![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))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[754])).
% 15.35/10.19 tff(756,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_62')).
% 15.35/10.19 tff(757,plain,
% 15.35/10.19 (![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))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[756, 755])).
% 15.35/10.19 tff(758,plain,
% 15.35/10.19 (![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))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[757, 753])).
% 15.35/10.19 tff(759,plain,(
% 15.35/10.19 ![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))),
% 15.35/10.19 inference(skolemize,[status(sab)],[758])).
% 15.35/10.19 tff(760,plain,
% 15.35/10.19 (![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))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[759, 752])).
% 15.35/10.19 tff(761,plain,
% 15.35/10.19 (((~![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(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))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(762,plain,
% 15.35/10.19 ((~![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(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(763,plain,
% 15.35/10.19 ((~![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(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2)),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[762, 761])).
% 15.35/10.19 tff(764,plain,
% 15.35/10.19 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_turn(s4, c_2)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[763, 760, 750])).
% 15.35/10.19 tff(765,plain,
% 15.35/10.19 (m_main_v_turn(s4, c_2)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[764, 532, 592])).
% 15.35/10.19 tff(766,plain,
% 15.35/10.19 (((~![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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(767,plain,
% 15.35/10.19 ((~![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)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(768,plain,
% 15.35/10.19 ((~![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))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[767, 766])).
% 15.35/10.19 tff(769,plain,
% 15.35/10.19 (~m_main_v_turn(s4, c_1)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[768, 156, 765])).
% 15.35/10.19 tff(770,plain,
% 15.35/10.19 (^[X: $i] : refl((m_main_v_turn(X, c_1) | (~node5(X))) <=> (m_main_v_turn(X, c_1) | (~node5(X))))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(771,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[770])).
% 15.35/10.19 tff(772,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(773,axiom,(![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_24')).
% 15.35/10.19 tff(774,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[773, 772])).
% 15.35/10.19 tff(775,plain,(
% 15.35/10.19 ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 15.35/10.19 inference(skolemize,[status(sab)],[774])).
% 15.35/10.19 tff(776,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[775, 771])).
% 15.35/10.19 tff(777,plain,
% 15.35/10.19 (((~![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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(778,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(779,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[778, 777])).
% 15.35/10.19 tff(780,plain,
% 15.35/10.19 (~node5(s4)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[779, 776, 769])).
% 15.35/10.19 tff(781,plain,
% 15.35/10.19 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node2(X))) <=> (m_main_v_state1(X, c_n1) | (~node2(X))))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(782,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[781])).
% 15.35/10.19 tff(783,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(784,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_16')).
% 15.35/10.19 tff(785,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[784, 783])).
% 15.35/10.19 tff(786,plain,(
% 15.35/10.19 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 15.35/10.19 inference(skolemize,[status(sab)],[785])).
% 15.35/10.19 tff(787,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[786, 782])).
% 15.35/10.19 tff(788,plain,
% 15.35/10.19 (((~![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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(789,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s4, c_n1) | (~node2(s4)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(790,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[789, 788])).
% 15.35/10.19 tff(791,plain,
% 15.35/10.19 (~node2(s4)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[790, 787, 660])).
% 15.35/10.19 tff(792,plain,
% 15.35/10.19 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node3(X))) <=> (m_main_v_state1(X, c_n1) | (~node3(X))))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(793,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[792])).
% 15.35/10.19 tff(794,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(795,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_18')).
% 15.35/10.19 tff(796,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[795, 794])).
% 15.35/10.19 tff(797,plain,(
% 15.35/10.19 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 15.35/10.19 inference(skolemize,[status(sab)],[796])).
% 15.35/10.19 tff(798,plain,
% 15.35/10.19 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[797, 793])).
% 15.35/10.19 tff(799,plain,
% 15.35/10.19 (((~![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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(800,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s4, c_n1) | (~node3(s4)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(801,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[800, 799])).
% 15.35/10.19 tff(802,plain,
% 15.35/10.19 (~node3(s4)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[801, 798, 660])).
% 15.35/10.19 tff(803,plain,
% 15.35/10.19 (((~![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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(804,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s4, c_n2) | (~node4(s4)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(805,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[804, 803])).
% 15.35/10.19 tff(806,plain,
% 15.35/10.19 (~node4(s4)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[805, 388, 701])).
% 15.35/10.19 tff(807,plain,
% 15.35/10.19 (((~![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))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(808,plain,
% 15.35/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s4, s5)) | node7(s4, s5))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(809,plain,
% 15.35/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s4, s5)) | node7(s4, s5)),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[808, 807])).
% 15.35/10.19 tff(810,plain,
% 15.35/10.19 (node7(s4, s5)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[809, 206, 712])).
% 15.35/10.19 tff(811,plain,
% 15.35/10.19 (^[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))))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(812,plain,
% 15.35/10.19 (![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))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[811])).
% 15.35/10.19 tff(813,plain,
% 15.35/10.19 (![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))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(814,plain,
% 15.35/10.19 (^[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)))))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(815,plain,
% 15.35/10.19 (![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)))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[814])).
% 15.35/10.19 tff(816,axiom,(![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_33')).
% 15.35/10.19 tff(817,plain,
% 15.35/10.19 (![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)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[816, 815])).
% 15.35/10.19 tff(818,plain,
% 15.35/10.19 (![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)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[817, 813])).
% 15.35/10.19 tff(819,plain,(
% 15.35/10.19 ![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)))),
% 15.35/10.19 inference(skolemize,[status(sab)],[818])).
% 15.35/10.19 tff(820,plain,
% 15.35/10.19 (![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)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[819, 812])).
% 15.35/10.19 tff(821,plain,
% 15.35/10.19 (((~![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(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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(822,plain,
% 15.35/10.19 ((~![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(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(823,plain,
% 15.35/10.19 ((~![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(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[822, 821])).
% 15.35/10.19 tff(824,plain,
% 15.35/10.19 (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[823, 820, 810])).
% 15.35/10.19 tff(825,plain,
% 15.35/10.19 (node6(s4, s5)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[824, 806, 668, 802, 791, 780, 746])).
% 15.35/10.19 tff(826,plain,
% 15.35/10.19 (^[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))))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(827,plain,
% 15.35/10.19 (![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)))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[826])).
% 15.35/10.19 tff(828,plain,
% 15.35/10.19 (![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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(829,plain,
% 15.35/10.19 (^[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))))),
% 15.35/10.19 inference(bind,[status(th)],[])).
% 15.35/10.19 tff(830,plain,
% 15.35/10.19 (![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)))),
% 15.35/10.19 inference(quant_intro,[status(thm)],[829])).
% 15.35/10.19 tff(831,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_26')).
% 15.35/10.19 tff(832,plain,
% 15.35/10.19 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[831, 830])).
% 15.35/10.19 tff(833,plain,
% 15.35/10.19 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[832, 828])).
% 15.35/10.19 tff(834,plain,(
% 15.35/10.19 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 15.35/10.19 inference(skolemize,[status(sab)],[833])).
% 15.35/10.19 tff(835,plain,
% 15.35/10.19 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[834, 827])).
% 15.35/10.19 tff(836,plain,
% 15.35/10.19 (((~![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(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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(837,plain,
% 15.35/10.19 (((~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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(838,plain,
% 15.35/10.19 (((~![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))))),
% 15.35/10.19 inference(monotonicity,[status(thm)],[837])).
% 15.35/10.19 tff(839,plain,
% 15.35/10.19 (((~![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)))),
% 15.35/10.19 inference(transitivity,[status(thm)],[838, 836])).
% 15.35/10.19 tff(840,plain,
% 15.35/10.19 ((~![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)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(841,plain,
% 15.35/10.19 ((~![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(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[840, 839])).
% 15.35/10.19 tff(842,plain,
% 15.35/10.19 (~m_main_v_state1(s5, c_n1)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[841, 835, 660, 825])).
% 15.35/10.19 tff(843,plain,
% 15.35/10.19 (((~![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)))),
% 15.35/10.19 inference(rewrite,[status(thm)],[])).
% 15.35/10.19 tff(844,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 15.35/10.19 inference(quant_inst,[status(thm)],[])).
% 15.35/10.19 tff(845,plain,
% 15.35/10.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5))),
% 15.35/10.19 inference(modus_ponens,[status(thm)],[844, 843])).
% 15.35/10.19 tff(846,plain,
% 15.35/10.19 (~node2(s5)),
% 15.35/10.19 inference(unit_resolution,[status(thm)],[845, 787, 842])).
% 15.35/10.19 tff(847,plain,
% 15.35/10.19 (^[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)))),
% 15.35/10.20 inference(bind,[status(th)],[])).
% 15.35/10.20 tff(848,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(quant_intro,[status(thm)],[847])).
% 15.35/10.20 tff(849,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(850,plain,
% 15.35/10.20 (^[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))))),
% 15.35/10.20 inference(bind,[status(th)],[])).
% 15.35/10.20 tff(851,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(quant_intro,[status(thm)],[850])).
% 15.35/10.20 tff(852,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_25')).
% 15.35/10.20 tff(853,plain,
% 15.35/10.20 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[852, 851])).
% 15.35/10.20 tff(854,plain,
% 15.35/10.20 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[853, 849])).
% 15.35/10.20 tff(855,plain,(
% 15.35/10.20 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 15.35/10.20 inference(skolemize,[status(sab)],[854])).
% 15.35/10.20 tff(856,plain,
% 15.35/10.20 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[855, 848])).
% 15.35/10.20 tff(857,plain,
% 15.35/10.20 (((~![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(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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(858,plain,
% 15.35/10.20 (((~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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(859,plain,
% 15.35/10.20 (((~![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))))),
% 15.35/10.20 inference(monotonicity,[status(thm)],[858])).
% 15.35/10.20 tff(860,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(transitivity,[status(thm)],[859, 857])).
% 15.35/10.20 tff(861,plain,
% 15.35/10.20 ((~![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))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(862,plain,
% 15.35/10.20 ((~![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(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[861, 860])).
% 15.35/10.20 tff(863,plain,
% 15.35/10.20 (m_main_v_state1(s5, c_t1)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[862, 856, 656, 825])).
% 15.35/10.20 tff(864,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(865,plain,
% 15.35/10.20 ((~![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)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(866,plain,
% 15.35/10.20 ((~![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[865, 864])).
% 15.35/10.20 tff(867,plain,
% 15.35/10.20 (~m_main_v_state2(s5, c_t2)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[866, 77, 734])).
% 15.35/10.20 tff(868,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(869,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(870,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[869, 868])).
% 15.35/10.20 tff(871,plain,
% 15.35/10.20 (~node1(s5)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[870, 195, 867])).
% 15.35/10.20 tff(872,plain,
% 15.35/10.20 (succ(s5, s6) <=> succ(s5, s6)),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(873,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 15.35/10.20 tff(874,plain,
% 15.35/10.20 (succ(s5, s6)),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[873, 872])).
% 15.35/10.20 tff(875,plain,
% 15.35/10.20 (((~![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))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(876,plain,
% 15.35/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(877,plain,
% 15.35/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[876, 875])).
% 15.35/10.20 tff(878,plain,
% 15.35/10.20 (trans(s5, s6)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[877, 874, 32])).
% 15.35/10.20 tff(879,plain,
% 15.35/10.20 (((~![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))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(880,plain,
% 15.35/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(881,plain,
% 15.35/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6)),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[880, 879])).
% 15.35/10.20 tff(882,plain,
% 15.35/10.20 (node7(s5, s6)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[881, 206, 878])).
% 15.35/10.20 tff(883,plain,
% 15.35/10.20 (^[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)))),
% 15.35/10.20 inference(bind,[status(th)],[])).
% 15.35/10.20 tff(884,plain,
% 15.35/10.20 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 15.35/10.20 inference(quant_intro,[status(thm)],[883])).
% 15.35/10.20 tff(885,plain,
% 15.35/10.20 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(886,plain,
% 15.35/10.20 (^[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))))),
% 15.35/10.20 inference(bind,[status(th)],[])).
% 15.35/10.20 tff(887,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(quant_intro,[status(thm)],[886])).
% 15.35/10.20 tff(888,axiom,(![Y: $i, X: $i] : ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_30')).
% 15.35/10.20 tff(889,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[888, 887])).
% 15.35/10.20 tff(890,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[889, 885])).
% 15.35/10.20 tff(891,plain,(
% 15.35/10.20 ![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))),
% 15.35/10.20 inference(skolemize,[status(sab)],[890])).
% 15.35/10.20 tff(892,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[891, 884])).
% 15.35/10.20 tff(893,plain,
% 15.35/10.20 (((~![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(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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(894,plain,
% 15.35/10.20 (((~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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(895,plain,
% 15.35/10.20 (((~![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(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))))),
% 15.35/10.20 inference(monotonicity,[status(thm)],[894])).
% 15.35/10.20 tff(896,plain,
% 15.35/10.20 (((~![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(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)))),
% 15.35/10.20 inference(transitivity,[status(thm)],[895, 893])).
% 15.35/10.20 tff(897,plain,
% 15.35/10.20 ((~![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(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))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(898,plain,
% 15.35/10.20 ((~![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(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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[897, 896])).
% 15.35/10.20 tff(899,plain,
% 15.35/10.20 ((~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)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[898, 892, 882])).
% 15.35/10.20 tff(900,plain,
% 15.35/10.20 (m_main_v_state1(s6, c_c1)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[899, 871, 734, 863, 846, 742])).
% 15.35/10.20 tff(901,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(902,plain,
% 15.35/10.20 ((~![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)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(903,plain,
% 15.35/10.20 ((~![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[902, 901])).
% 15.35/10.20 tff(904,plain,
% 15.35/10.20 (~m_main_v_state1(s6, c_t1)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[903, 539, 900])).
% 15.35/10.20 tff(905,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(906,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(907,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[906, 905])).
% 15.35/10.20 tff(908,plain,
% 15.35/10.20 (~node5(s6)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[907, 550, 904])).
% 15.35/10.20 tff(909,plain,
% 15.35/10.20 (((~![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))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(910,plain,
% 15.35/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(911,plain,
% 15.35/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6)),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[910, 909])).
% 15.35/10.20 tff(912,plain,
% 15.35/10.20 (node14(s5, s6)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[911, 46, 878])).
% 15.35/10.20 tff(913,plain,
% 15.35/10.20 (^[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)))),
% 15.35/10.20 inference(bind,[status(th)],[])).
% 15.35/10.20 tff(914,plain,
% 15.35/10.20 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 15.35/10.20 inference(quant_intro,[status(thm)],[913])).
% 15.35/10.20 tff(915,plain,
% 15.35/10.20 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(916,plain,
% 15.35/10.20 (^[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))))),
% 15.35/10.20 inference(bind,[status(th)],[])).
% 15.35/10.20 tff(917,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(quant_intro,[status(thm)],[916])).
% 15.35/10.20 tff(918,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_48')).
% 15.35/10.20 tff(919,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[918, 917])).
% 15.35/10.20 tff(920,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[919, 915])).
% 15.35/10.20 tff(921,plain,(
% 15.35/10.20 ![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))),
% 15.35/10.20 inference(skolemize,[status(sab)],[920])).
% 15.35/10.20 tff(922,plain,
% 15.35/10.20 (![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[921, 914])).
% 15.35/10.20 tff(923,plain,
% 15.35/10.20 (((~![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(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))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(924,plain,
% 15.35/10.20 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(925,plain,
% 15.35/10.20 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2)),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[924, 923])).
% 15.35/10.20 tff(926,plain,
% 15.35/10.20 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state2(s6, c_t2)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[925, 922, 912])).
% 15.35/10.20 tff(927,plain,
% 15.35/10.20 (m_main_v_state2(s6, c_t2)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[926, 863, 734])).
% 15.35/10.20 tff(928,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(929,plain,
% 15.35/10.20 ((~![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)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(930,plain,
% 15.35/10.20 ((~![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[929, 928])).
% 15.35/10.20 tff(931,plain,
% 15.35/10.20 (~m_main_v_state2(s6, c_n2)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[930, 77, 927])).
% 15.35/10.20 tff(932,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(933,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(934,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[933, 932])).
% 15.35/10.20 tff(935,plain,
% 15.35/10.20 (~node4(s6)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[934, 388, 931])).
% 15.35/10.20 tff(936,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(937,plain,
% 15.35/10.20 ((~![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)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(938,plain,
% 15.35/10.20 ((~![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[937, 936])).
% 15.35/10.20 tff(939,plain,
% 15.35/10.20 (~m_main_v_state2(s6, c_c2)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[938, 260, 927])).
% 15.35/10.20 tff(940,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(941,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(942,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[941, 940])).
% 15.35/10.20 tff(943,plain,
% 15.35/10.20 (~node3(s6)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[942, 399, 939])).
% 15.35/10.20 tff(944,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(945,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(946,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[945, 944])).
% 15.35/10.20 tff(947,plain,
% 15.35/10.20 (~node2(s6)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[946, 410, 931])).
% 15.35/10.20 tff(948,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(949,plain,
% 15.35/10.20 ((~![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)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(950,plain,
% 15.35/10.20 ((~![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))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[949, 948])).
% 15.35/10.20 tff(951,plain,
% 15.35/10.20 (~m_main_v_state1(s6, c_n1)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[950, 454, 900])).
% 15.35/10.20 tff(952,plain,
% 15.35/10.20 (((~![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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(953,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(954,plain,
% 15.35/10.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6))),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[953, 952])).
% 15.35/10.20 tff(955,plain,
% 15.35/10.20 (~node1(s6)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[954, 421, 951])).
% 15.35/10.20 tff(956,plain,
% 15.35/10.20 (succ(s6, s7) <=> succ(s6, s7)),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(957,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 15.35/10.20 tff(958,plain,
% 15.35/10.20 (succ(s6, s7)),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[957, 956])).
% 15.35/10.20 tff(959,plain,
% 15.35/10.20 (((~![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))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(960,plain,
% 15.35/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(961,plain,
% 15.35/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[960, 959])).
% 15.35/10.20 tff(962,plain,
% 15.35/10.20 (trans(s6, s7)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[961, 958, 32])).
% 15.35/10.20 tff(963,plain,
% 15.35/10.20 (((~![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))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(964,plain,
% 15.35/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))),
% 15.35/10.20 inference(quant_inst,[status(thm)],[])).
% 15.35/10.20 tff(965,plain,
% 15.35/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7)),
% 15.35/10.20 inference(modus_ponens,[status(thm)],[964, 963])).
% 15.35/10.20 tff(966,plain,
% 15.35/10.20 (node7(s6, s7)),
% 15.35/10.20 inference(unit_resolution,[status(thm)],[965, 206, 962])).
% 15.35/10.20 tff(967,plain,
% 15.35/10.20 (((~![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(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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(968,plain,
% 15.35/10.20 (((~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)))),
% 15.35/10.20 inference(rewrite,[status(thm)],[])).
% 15.35/10.20 tff(969,plain,
% 15.35/10.20 (((~![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(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))))),
% 15.35/10.21 inference(monotonicity,[status(thm)],[968])).
% 15.35/10.21 tff(970,plain,
% 15.35/10.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 15.35/10.21 inference(transitivity,[status(thm)],[969, 967])).
% 15.35/10.21 tff(971,plain,
% 15.35/10.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(972,plain,
% 15.35/10.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[971, 970])).
% 15.35/10.21 tff(973,plain,
% 15.35/10.21 (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[972, 584, 966])).
% 15.35/10.21 tff(974,plain,
% 15.35/10.21 (m_main_v_state1(s7, c_n1)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[973, 955, 900, 947, 943, 935, 908])).
% 15.35/10.21 tff(975,plain,
% 15.35/10.21 (((~![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)))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(976,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(977,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[976, 975])).
% 15.35/10.21 tff(978,plain,
% 15.35/10.21 (~node15(s5)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[977, 103, 867])).
% 15.35/10.21 tff(979,plain,
% 15.35/10.21 (((~![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))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(980,plain,
% 15.35/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(981,plain,
% 15.35/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6)),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[980, 979])).
% 15.35/10.21 tff(982,plain,
% 15.35/10.21 (node18(s5, s6)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[981, 125, 878])).
% 15.35/10.21 tff(983,plain,
% 15.35/10.21 (^[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)))),
% 15.35/10.21 inference(bind,[status(th)],[])).
% 15.35/10.21 tff(984,plain,
% 15.35/10.21 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 15.35/10.21 inference(quant_intro,[status(thm)],[983])).
% 15.35/10.21 tff(985,plain,
% 15.35/10.21 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(986,plain,
% 15.35/10.21 (^[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))))),
% 15.35/10.21 inference(bind,[status(th)],[])).
% 15.35/10.21 tff(987,plain,
% 15.35/10.21 (![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))),
% 15.35/10.21 inference(quant_intro,[status(thm)],[986])).
% 15.35/10.21 tff(988,axiom,(![Y: $i, X: $i] : ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_63')).
% 15.35/10.21 tff(989,plain,
% 15.35/10.21 (![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))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[988, 987])).
% 15.35/10.21 tff(990,plain,
% 15.35/10.21 (![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))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[989, 985])).
% 15.35/10.21 tff(991,plain,(
% 15.35/10.21 ![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))),
% 15.35/10.21 inference(skolemize,[status(sab)],[990])).
% 15.35/10.21 tff(992,plain,
% 15.35/10.21 (![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))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[991, 984])).
% 15.35/10.21 tff(993,plain,
% 15.35/10.21 (((~![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(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))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(994,plain,
% 15.35/10.21 (((~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))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(995,plain,
% 15.35/10.21 (((~![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(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)))),
% 15.35/10.21 inference(monotonicity,[status(thm)],[994])).
% 15.35/10.21 tff(996,plain,
% 15.35/10.21 (((~![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(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))),
% 15.35/10.21 inference(transitivity,[status(thm)],[995, 993])).
% 15.35/10.21 tff(997,plain,
% 15.35/10.21 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(998,plain,
% 15.35/10.21 ((~![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(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)),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[997, 996])).
% 15.35/10.21 tff(999,plain,
% 15.35/10.21 (node15(s5) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[998, 992, 982])).
% 15.35/10.21 tff(1000,plain,
% 15.35/10.21 (m_main_v_turn(s6, c_1)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[999, 978, 734, 863])).
% 15.35/10.21 tff(1001,plain,
% 15.35/10.21 (((~![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)))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1002,plain,
% 15.35/10.21 ((~![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)))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(1003,plain,
% 15.35/10.21 ((~![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))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 15.35/10.21 tff(1004,plain,
% 15.35/10.21 (~m_main_v_turn(s6, c_2)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1003, 156, 1000])).
% 15.35/10.21 tff(1005,plain,
% 15.35/10.21 (((~![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)))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1006,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(1007,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 15.35/10.21 tff(1008,plain,
% 15.35/10.21 (~node12(s6)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1007, 184, 1004])).
% 15.35/10.21 tff(1009,plain,
% 15.35/10.21 (((~![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)))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1010,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(1011,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 15.35/10.21 tff(1012,plain,
% 15.35/10.21 (~node8(s6)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1011, 271, 931])).
% 15.35/10.21 tff(1013,plain,
% 15.35/10.21 (((~![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)))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1014,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(1015,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 15.35/10.21 tff(1016,plain,
% 15.35/10.21 (~node9(s6)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1015, 88, 931])).
% 15.35/10.21 tff(1017,plain,
% 15.35/10.21 (((~![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)))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1018,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(1019,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1018, 1017])).
% 15.35/10.21 tff(1020,plain,
% 15.35/10.21 (~node10(s6)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1019, 249, 931])).
% 15.35/10.21 tff(1021,plain,
% 15.35/10.21 (((~![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)))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1022,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(1023,plain,
% 15.35/10.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1022, 1021])).
% 15.35/10.21 tff(1024,plain,
% 15.35/10.21 (~node11(s6)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1023, 238, 951])).
% 15.35/10.21 tff(1025,plain,
% 15.35/10.21 (((~![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))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1026,plain,
% 15.35/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(1027,plain,
% 15.35/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7)),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1026, 1025])).
% 15.35/10.21 tff(1028,plain,
% 15.35/10.21 (node14(s6, s7)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1027, 46, 962])).
% 15.35/10.21 tff(1029,plain,
% 15.35/10.21 (((~![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(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)))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1030,plain,
% 15.35/10.21 ((~![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(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(1031,plain,
% 15.35/10.21 ((~![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(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 15.35/10.21 tff(1032,plain,
% 15.35/10.21 (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1031, 296, 1028])).
% 15.35/10.21 tff(1033,plain,
% 15.35/10.21 (node13(s6, s7)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1032, 1024, 939, 1020, 1016, 1012, 1008])).
% 15.35/10.21 tff(1034,plain,
% 15.35/10.21 (((~![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(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)))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1035,plain,
% 15.35/10.21 (((~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)))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1036,plain,
% 15.35/10.21 (((~![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))))),
% 15.35/10.21 inference(monotonicity,[status(thm)],[1035])).
% 15.35/10.21 tff(1037,plain,
% 15.35/10.21 (((~![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)))),
% 15.35/10.21 inference(transitivity,[status(thm)],[1036, 1034])).
% 15.35/10.21 tff(1038,plain,
% 15.35/10.21 ((~![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))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(1039,plain,
% 15.35/10.21 ((~![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(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 15.35/10.21 tff(1040,plain,
% 15.35/10.21 (m_main_v_state2(s7, c_t2)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1039, 518, 927, 1033])).
% 15.35/10.21 tff(1041,plain,
% 15.35/10.21 (succ(s7, s8) <=> succ(s7, s8)),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1042,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 15.35/10.21 tff(1043,plain,
% 15.35/10.21 (succ(s7, s8)),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 15.35/10.21 tff(1044,plain,
% 15.35/10.21 (((~![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))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1045,plain,
% 15.35/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 15.35/10.21 inference(quant_inst,[status(thm)],[])).
% 15.35/10.21 tff(1046,plain,
% 15.35/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 15.35/10.21 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 15.35/10.21 tff(1047,plain,
% 15.35/10.21 (trans(s7, s8)),
% 15.35/10.21 inference(unit_resolution,[status(thm)],[1046, 1043, 32])).
% 15.35/10.21 tff(1048,plain,
% 15.35/10.21 (((~![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))),
% 15.35/10.21 inference(rewrite,[status(thm)],[])).
% 15.35/10.21 tff(1049,plain,
% 15.35/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))),
% 15.42/10.21 inference(quant_inst,[status(thm)],[])).
% 15.42/10.21 tff(1050,plain,
% 15.42/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8)),
% 15.42/10.21 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 15.42/10.21 tff(1051,plain,
% 15.42/10.21 (node7(s7, s8)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1050, 206, 1047])).
% 15.42/10.21 tff(1052,plain,
% 15.42/10.21 (((~![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(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))),
% 15.42/10.21 inference(rewrite,[status(thm)],[])).
% 15.42/10.21 tff(1053,plain,
% 15.42/10.21 ((~![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(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 15.42/10.21 inference(quant_inst,[status(thm)],[])).
% 15.42/10.21 tff(1054,plain,
% 15.42/10.21 ((~![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(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1)),
% 15.42/10.21 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 15.42/10.21 tff(1055,plain,
% 15.42/10.21 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_state1(s8, c_t1)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1054, 651, 1051])).
% 15.42/10.21 tff(1056,plain,
% 15.42/10.21 (m_main_v_state1(s8, c_t1)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1055, 1040, 974])).
% 15.42/10.21 tff(1057,plain,
% 15.42/10.21 (((~![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)))),
% 15.42/10.21 inference(rewrite,[status(thm)],[])).
% 15.42/10.21 tff(1058,plain,
% 15.42/10.21 ((~![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)))),
% 15.42/10.21 inference(quant_inst,[status(thm)],[])).
% 15.42/10.21 tff(1059,plain,
% 15.42/10.21 ((~![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))),
% 15.42/10.21 inference(modus_ponens,[status(thm)],[1058, 1057])).
% 15.42/10.21 tff(1060,plain,
% 15.42/10.21 (~m_main_v_state1(s8, c_n1)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1059, 10, 1056])).
% 15.42/10.21 tff(1061,plain,
% 15.42/10.21 (((~![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)))),
% 15.42/10.21 inference(rewrite,[status(thm)],[])).
% 15.42/10.21 tff(1062,plain,
% 15.42/10.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 15.42/10.21 inference(quant_inst,[status(thm)],[])).
% 15.42/10.21 tff(1063,plain,
% 15.42/10.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8))),
% 15.42/10.21 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 15.42/10.21 tff(1064,plain,
% 15.42/10.21 (~node1(s8)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1063, 421, 1060])).
% 15.42/10.21 tff(1065,plain,
% 15.42/10.21 (((~![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))),
% 15.42/10.21 inference(rewrite,[status(thm)],[])).
% 15.42/10.21 tff(1066,plain,
% 15.42/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))),
% 15.42/10.21 inference(quant_inst,[status(thm)],[])).
% 15.42/10.21 tff(1067,plain,
% 15.42/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8)),
% 15.42/10.21 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 15.42/10.21 tff(1068,plain,
% 15.42/10.21 (node18(s7, s8)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1067, 125, 1047])).
% 15.42/10.21 tff(1069,plain,
% 15.42/10.21 (((~![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(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))),
% 15.42/10.21 inference(rewrite,[status(thm)],[])).
% 15.42/10.21 tff(1070,plain,
% 15.42/10.21 ((~![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(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))),
% 15.42/10.21 inference(quant_inst,[status(thm)],[])).
% 15.42/10.21 tff(1071,plain,
% 15.42/10.21 ((~![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(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2)),
% 15.42/10.21 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 15.42/10.21 tff(1072,plain,
% 15.42/10.21 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_turn(s8, c_2)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1071, 760, 1068])).
% 15.42/10.21 tff(1073,plain,
% 15.42/10.21 (m_main_v_turn(s8, c_2)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1072, 1040, 974])).
% 15.42/10.21 tff(1074,plain,
% 15.42/10.21 (((~![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)))),
% 15.42/10.21 inference(rewrite,[status(thm)],[])).
% 15.42/10.21 tff(1075,plain,
% 15.42/10.21 ((~![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)))),
% 15.42/10.21 inference(quant_inst,[status(thm)],[])).
% 15.42/10.21 tff(1076,plain,
% 15.42/10.21 ((~![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))),
% 15.42/10.21 inference(modus_ponens,[status(thm)],[1075, 1074])).
% 15.42/10.21 tff(1077,plain,
% 15.42/10.21 (~m_main_v_turn(s8, c_1)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1076, 156, 1073])).
% 15.42/10.21 tff(1078,plain,
% 15.42/10.21 (((~![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)))),
% 15.42/10.21 inference(rewrite,[status(thm)],[])).
% 15.42/10.21 tff(1079,plain,
% 15.42/10.21 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 15.42/10.21 inference(quant_inst,[status(thm)],[])).
% 15.42/10.21 tff(1080,plain,
% 15.42/10.21 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8))),
% 15.42/10.21 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 15.42/10.21 tff(1081,plain,
% 15.42/10.21 (~node5(s8)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1080, 776, 1077])).
% 15.42/10.21 tff(1082,plain,
% 15.42/10.21 (((~![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)))),
% 15.42/10.21 inference(rewrite,[status(thm)],[])).
% 15.42/10.21 tff(1083,plain,
% 15.42/10.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 15.42/10.21 inference(quant_inst,[status(thm)],[])).
% 15.42/10.21 tff(1084,plain,
% 15.42/10.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8))),
% 15.42/10.21 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 15.42/10.21 tff(1085,plain,
% 15.42/10.21 (~node2(s8)),
% 15.42/10.21 inference(unit_resolution,[status(thm)],[1084, 787, 1060])).
% 15.42/10.21 tff(1086,plain,
% 15.42/10.21 (((~![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)))),
% 15.42/10.21 inference(rewrite,[status(thm)],[])).
% 15.42/10.21 tff(1087,plain,
% 15.42/10.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 15.42/10.21 inference(quant_inst,[status(thm)],[])).
% 15.42/10.21 tff(1088,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 15.42/10.22 tff(1089,plain,
% 15.42/10.22 (~node3(s8)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1088, 798, 1060])).
% 15.42/10.22 tff(1090,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1091,plain,
% 15.42/10.22 ((~![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)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1092,plain,
% 15.42/10.22 ((~![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))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 15.42/10.22 tff(1093,plain,
% 15.42/10.22 (~m_main_v_state1(s8, c_c1)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1092, 539, 1056])).
% 15.42/10.22 tff(1094,plain,
% 15.42/10.22 (((~![V: $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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1095,plain,
% 15.42/10.22 (((~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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1096,plain,
% 15.42/10.22 (((~![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))))),
% 15.42/10.22 inference(monotonicity,[status(thm)],[1095])).
% 15.42/10.22 tff(1097,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(transitivity,[status(thm)],[1096, 1094])).
% 15.42/10.22 tff(1098,plain,
% 15.42/10.22 ((~![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)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1099,plain,
% 15.42/10.22 ((~![V: $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))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 15.42/10.22 tff(1100,plain,
% 15.42/10.22 (~m_main_v_state2(s7, c_n2)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1099, 311, 931, 1033])).
% 15.42/10.22 tff(1101,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1102,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1103,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 15.42/10.22 tff(1104,plain,
% 15.42/10.22 (~node9(s7)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1103, 88, 1100])).
% 15.42/10.22 tff(1105,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1106,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1107,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 15.42/10.22 tff(1108,plain,
% 15.42/10.22 (~node10(s7)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1107, 249, 1100])).
% 15.42/10.22 tff(1109,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1110,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1111,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 15.42/10.22 tff(1112,plain,
% 15.42/10.22 (~node8(s7)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1111, 271, 1100])).
% 15.42/10.22 tff(1113,plain,
% 15.42/10.22 (((~![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))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1114,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1115,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8)),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 15.42/10.22 tff(1116,plain,
% 15.42/10.22 (node14(s7, s8)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1115, 46, 1047])).
% 15.42/10.22 tff(1117,plain,
% 15.42/10.22 (((~![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(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))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1118,plain,
% 15.42/10.22 ((~![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(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))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1119,plain,
% 15.42/10.22 ((~![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(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)),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 15.42/10.22 tff(1120,plain,
% 15.42/10.22 ((~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)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1119, 617, 1116])).
% 15.42/10.22 tff(1121,plain,
% 15.42/10.22 (m_main_v_state2(s8, c_c2)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1120, 1112, 974, 1040, 1108, 1104])).
% 15.42/10.22 tff(1122,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1123,plain,
% 15.42/10.22 ((~![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)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1124,plain,
% 15.42/10.22 ((~![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))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 15.42/10.22 tff(1125,plain,
% 15.42/10.22 (~m_main_v_state2(s8, c_n2)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1124, 697, 1121])).
% 15.42/10.22 tff(1126,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1127,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1128,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 15.42/10.22 tff(1129,plain,
% 15.42/10.22 (~node4(s8)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1128, 388, 1125])).
% 15.42/10.22 tff(1130,plain,
% 15.42/10.22 (succ(s8, s9) <=> succ(s8, s9)),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1131,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 15.42/10.22 tff(1132,plain,
% 15.42/10.22 (succ(s8, s9)),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 15.42/10.22 tff(1133,plain,
% 15.42/10.22 (((~![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))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1134,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1135,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1134, 1133])).
% 15.42/10.22 tff(1136,plain,
% 15.42/10.22 (trans(s8, s9)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1135, 1132, 32])).
% 15.42/10.22 tff(1137,plain,
% 15.42/10.22 (((~![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))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1138,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1139,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9)),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 15.42/10.22 tff(1140,plain,
% 15.42/10.22 (node7(s8, s9)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1139, 206, 1136])).
% 15.42/10.22 tff(1141,plain,
% 15.42/10.22 (((~![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(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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1142,plain,
% 15.42/10.22 ((~![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(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1143,plain,
% 15.42/10.22 ((~![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(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 15.42/10.22 tff(1144,plain,
% 15.42/10.22 (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1143, 820, 1140])).
% 15.42/10.22 tff(1145,plain,
% 15.42/10.22 (node6(s8, s9)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1144, 1129, 1093, 1089, 1085, 1081, 1064])).
% 15.42/10.22 tff(1146,plain,
% 15.42/10.22 (((~![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(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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1147,plain,
% 15.42/10.22 (((~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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1148,plain,
% 15.42/10.22 (((~![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))))),
% 15.42/10.22 inference(monotonicity,[status(thm)],[1147])).
% 15.42/10.22 tff(1149,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(transitivity,[status(thm)],[1148, 1146])).
% 15.42/10.22 tff(1150,plain,
% 15.42/10.22 ((~![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))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1151,plain,
% 15.42/10.22 ((~![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(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1150, 1149])).
% 15.42/10.22 tff(1152,plain,
% 15.42/10.22 (m_main_v_state1(s9, c_t1)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1151, 856, 1056, 1145])).
% 15.42/10.22 tff(1153,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1154,plain,
% 15.42/10.22 ((~![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)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1155,plain,
% 15.42/10.22 ((~![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))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1154, 1153])).
% 15.42/10.22 tff(1156,plain,
% 15.42/10.22 (~m_main_v_state2(s8, c_t2)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1155, 260, 1121])).
% 15.42/10.22 tff(1157,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1158,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1159,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 15.42/10.22 tff(1160,plain,
% 15.42/10.22 (~node12(s8)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1159, 633, 1156])).
% 15.42/10.22 tff(1161,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1162,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1163,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 15.42/10.22 tff(1164,plain,
% 15.42/10.22 (~node11(s8)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1163, 238, 1060])).
% 15.42/10.22 tff(1165,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1166,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1167,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 15.42/10.22 tff(1168,plain,
% 15.42/10.22 (~node10(s8)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1167, 675, 1093])).
% 15.42/10.22 tff(1169,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1170,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1171,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 15.42/10.22 tff(1172,plain,
% 15.42/10.22 (~node9(s8)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1171, 686, 1060])).
% 15.42/10.22 tff(1173,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1174,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1175,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 15.42/10.22 tff(1176,plain,
% 15.42/10.22 (~node8(s8)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1175, 271, 1125])).
% 15.42/10.22 tff(1177,plain,
% 15.42/10.22 (((~![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))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1178,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1179,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9)),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 15.42/10.22 tff(1180,plain,
% 15.42/10.22 (node14(s8, s9)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1179, 46, 1136])).
% 15.42/10.22 tff(1181,plain,
% 15.42/10.22 (((~![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(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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1182,plain,
% 15.42/10.22 (((~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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1183,plain,
% 15.42/10.22 (((~![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(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))))),
% 15.42/10.22 inference(monotonicity,[status(thm)],[1182])).
% 15.42/10.22 tff(1184,plain,
% 15.42/10.22 (((~![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(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)))),
% 15.42/10.22 inference(transitivity,[status(thm)],[1183, 1181])).
% 15.42/10.22 tff(1185,plain,
% 15.42/10.22 ((~![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(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1186,plain,
% 15.42/10.22 ((~![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(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 15.42/10.22 tff(1187,plain,
% 15.42/10.22 (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~m_main_v_state2(s8, c_c2))),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1186, 726, 1180])).
% 15.42/10.22 tff(1188,plain,
% 15.42/10.22 (m_main_v_state2(s9, c_n2)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1187, 1176, 1121, 1172, 1168, 1164, 1160])).
% 15.42/10.22 tff(1189,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1190,plain,
% 15.42/10.22 ((~![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)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1191,plain,
% 15.42/10.22 ((~![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))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 15.42/10.22 tff(1192,plain,
% 15.42/10.22 (~m_main_v_state2(s9, c_t2)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1191, 77, 1188])).
% 15.42/10.22 tff(1193,plain,
% 15.42/10.22 (((~![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)))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1194,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1195,plain,
% 15.42/10.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9))),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 15.42/10.22 tff(1196,plain,
% 15.42/10.22 (~node15(s9)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1195, 103, 1192])).
% 15.42/10.22 tff(1197,plain,
% 15.42/10.22 (succ(s9, s10) <=> succ(s9, s10)),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1198,axiom,(succ(s9, s10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 15.42/10.22 tff(1199,plain,
% 15.42/10.22 (succ(s9, s10)),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 15.42/10.22 tff(1200,plain,
% 15.42/10.22 (((~![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))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1201,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1202,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1201, 1200])).
% 15.42/10.22 tff(1203,plain,
% 15.42/10.22 (trans(s9, s10)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1202, 1199, 32])).
% 15.42/10.22 tff(1204,plain,
% 15.42/10.22 (((~![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))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1205,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))),
% 15.42/10.22 inference(quant_inst,[status(thm)],[])).
% 15.42/10.22 tff(1206,plain,
% 15.42/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10)),
% 15.42/10.22 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 15.42/10.22 tff(1207,plain,
% 15.42/10.22 (node18(s9, s10)),
% 15.42/10.22 inference(unit_resolution,[status(thm)],[1206, 125, 1203])).
% 15.42/10.22 tff(1208,plain,
% 15.42/10.22 (((~![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(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))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1209,plain,
% 15.42/10.22 (((~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))),
% 15.42/10.22 inference(rewrite,[status(thm)],[])).
% 15.42/10.22 tff(1210,plain,
% 15.42/10.22 (((~![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(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)))),
% 15.42/10.22 inference(monotonicity,[status(thm)],[1209])).
% 15.42/10.22 tff(1211,plain,
% 15.42/10.22 (((~![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(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))),
% 15.42/10.23 inference(transitivity,[status(thm)],[1210, 1208])).
% 15.42/10.23 tff(1212,plain,
% 15.42/10.23 ((~![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(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1213,plain,
% 15.42/10.23 ((~![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(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)),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 15.42/10.23 tff(1214,plain,
% 15.42/10.23 (node15(s9) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1213, 992, 1207])).
% 15.42/10.23 tff(1215,plain,
% 15.42/10.23 (m_main_v_turn(s10, c_1)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1214, 1196, 1188, 1152])).
% 15.42/10.23 tff(1216,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1217,plain,
% 15.42/10.23 ((~![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)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1218,plain,
% 15.42/10.23 ((~![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))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 15.42/10.23 tff(1219,plain,
% 15.42/10.23 (~m_main_v_turn(s10, c_2)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1218, 156, 1215])).
% 15.42/10.23 tff(1220,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1221,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1222,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 15.42/10.23 tff(1223,plain,
% 15.42/10.23 (~node12(s10)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1222, 184, 1219])).
% 15.42/10.23 tff(1224,plain,
% 15.42/10.23 (((~![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))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1225,plain,
% 15.42/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1226,plain,
% 15.42/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10)),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 15.42/10.23 tff(1227,plain,
% 15.42/10.23 (node14(s9, s10)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1226, 46, 1203])).
% 15.42/10.23 tff(1228,plain,
% 15.42/10.23 (((~![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(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))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1229,plain,
% 15.42/10.23 ((~![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(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1230,plain,
% 15.42/10.23 ((~![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(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2)),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1229, 1228])).
% 15.42/10.23 tff(1231,plain,
% 15.42/10.23 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state2(s10, c_t2)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1230, 922, 1227])).
% 15.42/10.23 tff(1232,plain,
% 15.42/10.23 (m_main_v_state2(s10, c_t2)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1231, 1152, 1188])).
% 15.42/10.23 tff(1233,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1234,plain,
% 15.42/10.23 ((~![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)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1235,plain,
% 15.42/10.23 ((~![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))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1234, 1233])).
% 15.42/10.23 tff(1236,plain,
% 15.42/10.23 (~m_main_v_state2(s10, c_n2)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1235, 77, 1232])).
% 15.42/10.23 tff(1237,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1238,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1239,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 15.42/10.23 tff(1240,plain,
% 15.42/10.23 (~node8(s10)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1239, 271, 1236])).
% 15.42/10.23 tff(1241,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1242,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1243,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 15.42/10.23 tff(1244,plain,
% 15.42/10.23 (~node9(s10)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1243, 88, 1236])).
% 15.42/10.23 tff(1245,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1246,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1247,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 15.42/10.23 tff(1248,plain,
% 15.42/10.23 (~node10(s10)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1247, 249, 1236])).
% 15.42/10.23 tff(1249,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1250,plain,
% 15.42/10.23 ((~![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)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1251,plain,
% 15.42/10.23 ((~![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))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 15.42/10.23 tff(1252,plain,
% 15.42/10.23 (~m_main_v_state2(s10, c_c2)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1251, 260, 1232])).
% 15.42/10.23 tff(1253,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1254,plain,
% 15.42/10.23 ((~![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)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1255,plain,
% 15.42/10.23 ((~![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))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 15.42/10.23 tff(1256,plain,
% 15.42/10.23 (~m_main_v_state2(s9, c_c2)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1255, 697, 1188])).
% 15.42/10.23 tff(1257,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1258,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1259,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 15.42/10.23 tff(1260,plain,
% 15.42/10.23 (~node3(s9)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1259, 399, 1256])).
% 15.42/10.23 tff(1261,plain,
% 15.42/10.23 (((~![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(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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1262,plain,
% 15.42/10.23 (((~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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1263,plain,
% 15.42/10.23 (((~![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))))),
% 15.42/10.23 inference(monotonicity,[status(thm)],[1262])).
% 15.42/10.23 tff(1264,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(transitivity,[status(thm)],[1263, 1261])).
% 15.42/10.23 tff(1265,plain,
% 15.42/10.23 ((~![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)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1266,plain,
% 15.42/10.23 ((~![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(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 15.42/10.23 tff(1267,plain,
% 15.42/10.23 (~m_main_v_state1(s9, c_n1)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1266, 835, 1060, 1145])).
% 15.42/10.23 tff(1268,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1269,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1270,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 15.42/10.23 tff(1271,plain,
% 15.42/10.23 (~node2(s9)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1270, 787, 1267])).
% 15.42/10.23 tff(1272,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1273,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1274,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 15.42/10.23 tff(1275,plain,
% 15.42/10.23 (~node1(s9)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1274, 195, 1192])).
% 15.42/10.23 tff(1276,plain,
% 15.42/10.23 (((~![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))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1277,plain,
% 15.42/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1278,plain,
% 15.42/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10)),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 15.42/10.23 tff(1279,plain,
% 15.42/10.23 (node7(s9, s10)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1278, 206, 1203])).
% 15.42/10.23 tff(1280,plain,
% 15.42/10.23 (((~![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(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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1281,plain,
% 15.42/10.23 (((~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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1282,plain,
% 15.42/10.23 (((~![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(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))))),
% 15.42/10.23 inference(monotonicity,[status(thm)],[1281])).
% 15.42/10.23 tff(1283,plain,
% 15.42/10.23 (((~![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(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)))),
% 15.42/10.23 inference(transitivity,[status(thm)],[1282, 1280])).
% 15.42/10.23 tff(1284,plain,
% 15.42/10.23 ((~![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(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))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1285,plain,
% 15.42/10.23 ((~![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(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))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 15.42/10.23 tff(1286,plain,
% 15.42/10.23 ((~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)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1285, 892, 1279])).
% 15.42/10.23 tff(1287,plain,
% 15.42/10.23 (m_main_v_state1(s10, c_c1)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1286, 1275, 1188, 1152, 1271, 1260])).
% 15.42/10.23 tff(1288,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1289,plain,
% 15.42/10.23 ((~![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)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1290,plain,
% 15.42/10.23 ((~![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))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 15.42/10.23 tff(1291,plain,
% 15.42/10.23 (~m_main_v_state1(s10, c_n1)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1290, 454, 1287])).
% 15.42/10.23 tff(1292,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1293,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1294,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1293, 1292])).
% 15.42/10.23 tff(1295,plain,
% 15.42/10.23 (~node11(s10)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1294, 238, 1291])).
% 15.42/10.23 tff(1296,plain,
% 15.42/10.23 (succ(s10, s11) <=> succ(s10, s11)),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1297,axiom,(succ(s10, s11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 15.42/10.23 tff(1298,plain,
% 15.42/10.23 (succ(s10, s11)),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 15.42/10.23 tff(1299,plain,
% 15.42/10.23 (((~![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))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1300,plain,
% 15.42/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1301,plain,
% 15.42/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 15.42/10.23 tff(1302,plain,
% 15.42/10.23 (trans(s10, s11)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1301, 1298, 32])).
% 15.42/10.23 tff(1303,plain,
% 15.42/10.23 (((~![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))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1304,plain,
% 15.42/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1305,plain,
% 15.42/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11)),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 15.42/10.23 tff(1306,plain,
% 15.42/10.23 (node14(s10, s11)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1305, 46, 1302])).
% 15.42/10.23 tff(1307,plain,
% 15.42/10.23 (((~![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(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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1308,plain,
% 15.42/10.23 ((~![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(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1309,plain,
% 15.42/10.23 ((~![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(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 15.42/10.23 tff(1310,plain,
% 15.42/10.23 (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1309, 296, 1306])).
% 15.42/10.23 tff(1311,plain,
% 15.42/10.23 (node13(s10, s11)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1310, 1295, 1252, 1248, 1244, 1240, 1223])).
% 15.42/10.23 tff(1312,plain,
% 15.42/10.23 (((~![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(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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1313,plain,
% 15.42/10.23 (((~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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1314,plain,
% 15.42/10.23 (((~![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))))),
% 15.42/10.23 inference(monotonicity,[status(thm)],[1313])).
% 15.42/10.23 tff(1315,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(transitivity,[status(thm)],[1314, 1312])).
% 15.42/10.23 tff(1316,plain,
% 15.42/10.23 ((~![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)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1317,plain,
% 15.42/10.23 ((~![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(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 15.42/10.23 tff(1318,plain,
% 15.42/10.23 (~m_main_v_state2(s11, c_n2)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1317, 311, 1236, 1311])).
% 15.42/10.23 tff(1319,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1320,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1321,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 15.42/10.23 tff(1322,plain,
% 15.42/10.23 (~node9(s11)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1321, 88, 1318])).
% 15.42/10.23 tff(1323,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1324,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1325,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 15.42/10.23 tff(1326,plain,
% 15.42/10.23 (~node10(s11)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1325, 249, 1318])).
% 15.42/10.23 tff(1327,plain,
% 15.42/10.23 (((~![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(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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1328,plain,
% 15.42/10.23 (((~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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1329,plain,
% 15.42/10.23 (((~![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))))),
% 15.42/10.23 inference(monotonicity,[status(thm)],[1328])).
% 15.42/10.23 tff(1330,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(transitivity,[status(thm)],[1329, 1327])).
% 15.42/10.23 tff(1331,plain,
% 15.42/10.23 ((~![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))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1332,plain,
% 15.42/10.23 ((~![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(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 15.42/10.23 tff(1333,plain,
% 15.42/10.23 (m_main_v_state2(s11, c_t2)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1332, 518, 1232, 1311])).
% 15.42/10.23 tff(1334,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1335,plain,
% 15.42/10.23 ((~![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)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1336,plain,
% 15.42/10.23 ((~![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))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 15.42/10.23 tff(1337,plain,
% 15.42/10.23 (~m_main_v_state1(s10, c_t1)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1336, 539, 1287])).
% 15.42/10.23 tff(1338,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1339,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1340,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 15.42/10.23 tff(1341,plain,
% 15.42/10.23 (~node5(s10)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1340, 550, 1337])).
% 15.42/10.23 tff(1342,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1343,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1344,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1343, 1342])).
% 15.42/10.23 tff(1345,plain,
% 15.42/10.23 (~node4(s10)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1344, 388, 1236])).
% 15.42/10.23 tff(1346,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1347,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1348,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 15.42/10.23 tff(1349,plain,
% 15.42/10.23 (~node3(s10)),
% 15.42/10.23 inference(unit_resolution,[status(thm)],[1348, 399, 1252])).
% 15.42/10.23 tff(1350,plain,
% 15.42/10.23 (((~![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)))),
% 15.42/10.23 inference(rewrite,[status(thm)],[])).
% 15.42/10.23 tff(1351,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 15.42/10.23 inference(quant_inst,[status(thm)],[])).
% 15.42/10.23 tff(1352,plain,
% 15.42/10.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10))),
% 15.42/10.23 inference(modus_ponens,[status(thm)],[1351, 1350])).
% 15.42/10.24 tff(1353,plain,
% 15.42/10.24 (~node2(s10)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1352, 410, 1236])).
% 15.42/10.24 tff(1354,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1355,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1356,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1355, 1354])).
% 15.42/10.24 tff(1357,plain,
% 15.42/10.24 (~node1(s10)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1356, 421, 1291])).
% 15.42/10.24 tff(1358,plain,
% 15.42/10.24 (((~![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))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1359,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1360,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 15.42/10.24 tff(1361,plain,
% 15.42/10.24 (node7(s10, s11)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1360, 206, 1302])).
% 15.42/10.24 tff(1362,plain,
% 15.42/10.24 (((~![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(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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1363,plain,
% 15.42/10.24 (((~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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1364,plain,
% 15.42/10.24 (((~![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(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))))),
% 15.42/10.24 inference(monotonicity,[status(thm)],[1363])).
% 15.42/10.24 tff(1365,plain,
% 15.42/10.24 (((~![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(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)))),
% 15.42/10.24 inference(transitivity,[status(thm)],[1364, 1362])).
% 15.42/10.24 tff(1366,plain,
% 15.42/10.24 ((~![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(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1367,plain,
% 15.42/10.24 ((~![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(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 15.42/10.24 tff(1368,plain,
% 15.42/10.24 (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1367, 584, 1361])).
% 15.42/10.24 tff(1369,plain,
% 15.42/10.24 (m_main_v_state1(s11, c_n1)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1368, 1357, 1287, 1353, 1349, 1345, 1341])).
% 15.42/10.24 tff(1370,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1371,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1372,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 15.42/10.24 tff(1373,plain,
% 15.42/10.24 (~node8(s11)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1372, 271, 1318])).
% 15.42/10.24 tff(1374,plain,
% 15.42/10.24 (succ(s11, s12) <=> succ(s11, s12)),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1375,axiom,(succ(s11, s12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 15.42/10.24 tff(1376,plain,
% 15.42/10.24 (succ(s11, s12)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 15.42/10.24 tff(1377,plain,
% 15.42/10.24 (((~![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))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1378,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1379,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1378, 1377])).
% 15.42/10.24 tff(1380,plain,
% 15.42/10.24 (trans(s11, s12)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1379, 1376, 32])).
% 15.42/10.24 tff(1381,plain,
% 15.42/10.24 (((~![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))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1382,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1383,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 15.42/10.24 tff(1384,plain,
% 15.42/10.24 (node14(s11, s12)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1383, 46, 1380])).
% 15.42/10.24 tff(1385,plain,
% 15.42/10.24 (((~![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(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))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1386,plain,
% 15.42/10.24 ((~![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(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))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1387,plain,
% 15.42/10.24 ((~![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(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)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 15.42/10.24 tff(1388,plain,
% 15.42/10.24 ((~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)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1387, 617, 1384])).
% 15.42/10.24 tff(1389,plain,
% 15.42/10.24 (m_main_v_state2(s12, c_c2)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1388, 1373, 1369, 1333, 1326, 1322])).
% 15.42/10.24 tff(1390,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1391,plain,
% 15.42/10.24 ((~![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)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1392,plain,
% 15.42/10.24 ((~![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))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1391, 1390])).
% 15.42/10.24 tff(1393,plain,
% 15.42/10.24 (~m_main_v_state2(s12, c_t2)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1392, 260, 1389])).
% 15.42/10.24 tff(1394,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1395,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1396,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1395, 1394])).
% 15.42/10.24 tff(1397,plain,
% 15.42/10.24 (~node12(s12)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1396, 633, 1393])).
% 15.42/10.24 tff(1398,plain,
% 15.42/10.24 (((~![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))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1399,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1400,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 15.42/10.24 tff(1401,plain,
% 15.42/10.24 (node7(s11, s12)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1400, 206, 1380])).
% 15.42/10.24 tff(1402,plain,
% 15.42/10.24 (((~![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(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))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1403,plain,
% 15.42/10.24 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1404,plain,
% 15.42/10.24 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 15.42/10.24 tff(1405,plain,
% 15.42/10.24 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_state1(s12, c_t1)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1404, 651, 1401])).
% 15.42/10.24 tff(1406,plain,
% 15.42/10.24 (m_main_v_state1(s12, c_t1)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1405, 1333, 1369])).
% 15.42/10.24 tff(1407,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1408,plain,
% 15.42/10.24 ((~![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)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1409,plain,
% 15.42/10.24 ((~![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))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1408, 1407])).
% 15.42/10.24 tff(1410,plain,
% 15.42/10.24 (~m_main_v_state1(s12, c_n1)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1409, 10, 1406])).
% 15.42/10.24 tff(1411,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1412,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1413,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 15.42/10.24 tff(1414,plain,
% 15.42/10.24 (~node11(s12)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1413, 238, 1410])).
% 15.42/10.24 tff(1415,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1416,plain,
% 15.42/10.24 ((~![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)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1417,plain,
% 15.42/10.24 ((~![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))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 15.42/10.24 tff(1418,plain,
% 15.42/10.24 (~m_main_v_state1(s12, c_c1)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1417, 539, 1406])).
% 15.42/10.24 tff(1419,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1420,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1421,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 15.42/10.24 tff(1422,plain,
% 15.42/10.24 (~node10(s12)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1421, 675, 1418])).
% 15.42/10.24 tff(1423,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1424,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1425,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 15.42/10.24 tff(1426,plain,
% 15.42/10.24 (~node9(s12)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1425, 686, 1410])).
% 15.42/10.24 tff(1427,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1428,plain,
% 15.42/10.24 ((~![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)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1429,plain,
% 15.42/10.24 ((~![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))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 15.42/10.24 tff(1430,plain,
% 15.42/10.24 (~m_main_v_state2(s12, c_n2)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1429, 697, 1389])).
% 15.42/10.24 tff(1431,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1432,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1433,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 15.42/10.24 tff(1434,plain,
% 15.42/10.24 (~node8(s12)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1433, 271, 1430])).
% 15.42/10.24 tff(1435,plain,
% 15.42/10.24 (succ(s12, s13) <=> succ(s12, s13)),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1436,axiom,(succ(s12, s13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound13')).
% 15.42/10.24 tff(1437,plain,
% 15.42/10.24 (succ(s12, s13)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 15.42/10.24 tff(1438,plain,
% 15.42/10.24 (((~![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))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1439,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1440,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 15.42/10.24 tff(1441,plain,
% 15.42/10.24 (trans(s12, s13)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1440, 1437, 32])).
% 15.42/10.24 tff(1442,plain,
% 15.42/10.24 (((~![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))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1443,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1444,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1443, 1442])).
% 15.42/10.24 tff(1445,plain,
% 15.42/10.24 (node14(s12, s13)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1444, 46, 1441])).
% 15.42/10.24 tff(1446,plain,
% 15.42/10.24 (((~![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(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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1447,plain,
% 15.42/10.24 (((~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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1448,plain,
% 15.42/10.24 (((~![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(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))))),
% 15.42/10.24 inference(monotonicity,[status(thm)],[1447])).
% 15.42/10.24 tff(1449,plain,
% 15.42/10.24 (((~![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(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)))),
% 15.42/10.24 inference(transitivity,[status(thm)],[1448, 1446])).
% 15.42/10.24 tff(1450,plain,
% 15.42/10.24 ((~![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(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1451,plain,
% 15.42/10.24 ((~![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(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1450, 1449])).
% 15.42/10.24 tff(1452,plain,
% 15.42/10.24 (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~m_main_v_state2(s12, c_c2))),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1451, 726, 1445])).
% 15.42/10.24 tff(1453,plain,
% 15.42/10.24 (m_main_v_state2(s13, c_n2)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1452, 1434, 1389, 1426, 1422, 1414, 1397])).
% 15.42/10.24 tff(1454,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1455,plain,
% 15.42/10.24 ((~![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)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1456,plain,
% 15.42/10.24 ((~![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))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 15.42/10.24 tff(1457,plain,
% 15.42/10.24 (~m_main_v_state2(s13, c_c2)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1456, 697, 1453])).
% 15.42/10.24 tff(1458,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1459,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1460,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 15.42/10.24 tff(1461,plain,
% 15.42/10.24 (~node3(s13)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1460, 399, 1457])).
% 15.42/10.24 tff(1462,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1463,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1464,plain,
% 15.42/10.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12))),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 15.42/10.24 tff(1465,plain,
% 15.42/10.24 (~node1(s12)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1464, 421, 1410])).
% 15.42/10.24 tff(1466,plain,
% 15.42/10.24 (((~![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))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1467,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1468,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 15.42/10.24 tff(1469,plain,
% 15.42/10.24 (node18(s11, s12)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1468, 125, 1380])).
% 15.42/10.24 tff(1470,plain,
% 15.42/10.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.42/10.24 inference(rewrite,[status(thm)],[])).
% 15.42/10.24 tff(1471,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.42/10.24 inference(quant_inst,[status(thm)],[])).
% 15.42/10.24 tff(1472,plain,
% 15.42/10.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.42/10.24 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 15.42/10.24 tff(1473,plain,
% 15.42/10.24 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_turn(s12, c_2)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1472, 760, 1469])).
% 15.42/10.24 tff(1474,plain,
% 15.42/10.24 (m_main_v_turn(s12, c_2)),
% 15.42/10.24 inference(unit_resolution,[status(thm)],[1473, 1333, 1369])).
% 15.42/10.24 tff(1475,plain,
% 15.42/10.24 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1476,plain,
% 15.42/10.25 ((~![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)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1477,plain,
% 15.42/10.25 ((~![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))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 15.42/10.25 tff(1478,plain,
% 15.42/10.25 (~m_main_v_turn(s12, c_1)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1477, 156, 1474])).
% 15.42/10.25 tff(1479,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1480,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1481,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 15.42/10.25 tff(1482,plain,
% 15.42/10.25 (~node5(s12)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1481, 776, 1478])).
% 15.42/10.25 tff(1483,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1484,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1485,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 15.42/10.25 tff(1486,plain,
% 15.42/10.25 (~node2(s12)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1485, 787, 1410])).
% 15.42/10.25 tff(1487,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1488,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1489,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 15.42/10.25 tff(1490,plain,
% 15.42/10.25 (~node3(s12)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1489, 798, 1410])).
% 15.42/10.25 tff(1491,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1492,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1493,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 15.42/10.25 tff(1494,plain,
% 15.42/10.25 (~node4(s12)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1493, 388, 1430])).
% 15.42/10.25 tff(1495,plain,
% 15.42/10.25 (((~![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))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1496,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1497,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13)),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1496, 1495])).
% 15.42/10.25 tff(1498,plain,
% 15.42/10.25 (node7(s12, s13)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1497, 206, 1441])).
% 15.42/10.25 tff(1499,plain,
% 15.42/10.25 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1500,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1501,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 15.42/10.25 tff(1502,plain,
% 15.42/10.25 (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1501, 820, 1498])).
% 15.42/10.25 tff(1503,plain,
% 15.42/10.25 (node6(s12, s13)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1502, 1494, 1418, 1490, 1486, 1482, 1465])).
% 15.42/10.25 tff(1504,plain,
% 15.42/10.25 (((~![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(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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1505,plain,
% 15.42/10.25 (((~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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1506,plain,
% 15.42/10.25 (((~![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))))),
% 15.42/10.25 inference(monotonicity,[status(thm)],[1505])).
% 15.42/10.25 tff(1507,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(transitivity,[status(thm)],[1506, 1504])).
% 15.42/10.25 tff(1508,plain,
% 15.42/10.25 ((~![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)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1509,plain,
% 15.42/10.25 ((~![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(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 15.42/10.25 tff(1510,plain,
% 15.42/10.25 (~m_main_v_state1(s13, c_n1)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1509, 835, 1410, 1503])).
% 15.42/10.25 tff(1511,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1512,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1513,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 15.42/10.25 tff(1514,plain,
% 15.42/10.25 (~node2(s13)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1513, 787, 1510])).
% 15.42/10.25 tff(1515,plain,
% 15.42/10.25 (((~![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(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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1516,plain,
% 15.42/10.25 (((~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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1517,plain,
% 15.42/10.25 (((~![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))))),
% 15.42/10.25 inference(monotonicity,[status(thm)],[1516])).
% 15.42/10.25 tff(1518,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(transitivity,[status(thm)],[1517, 1515])).
% 15.42/10.25 tff(1519,plain,
% 15.42/10.25 ((~![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))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1520,plain,
% 15.42/10.25 ((~![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(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 15.42/10.25 tff(1521,plain,
% 15.42/10.25 (m_main_v_state1(s13, c_t1)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1520, 856, 1406, 1503])).
% 15.42/10.25 tff(1522,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1523,plain,
% 15.42/10.25 ((~![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)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1524,plain,
% 15.42/10.25 ((~![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))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 15.42/10.25 tff(1525,plain,
% 15.42/10.25 (~m_main_v_state2(s13, c_t2)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1524, 77, 1453])).
% 15.42/10.25 tff(1526,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1527,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1528,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 15.42/10.25 tff(1529,plain,
% 15.42/10.25 (~node1(s13)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1528, 195, 1525])).
% 15.42/10.25 tff(1530,plain,
% 15.42/10.25 (succ(s13, s14) <=> succ(s13, s14)),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1531,axiom,(succ(s13, s14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound14')).
% 15.42/10.25 tff(1532,plain,
% 15.42/10.25 (succ(s13, s14)),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 15.42/10.25 tff(1533,plain,
% 15.42/10.25 (((~![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))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1534,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1535,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 15.42/10.25 tff(1536,plain,
% 15.42/10.25 (trans(s13, s14)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1535, 1532, 32])).
% 15.42/10.25 tff(1537,plain,
% 15.42/10.25 (((~![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))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1538,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1539,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14)),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 15.42/10.25 tff(1540,plain,
% 15.42/10.25 (node7(s13, s14)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1539, 206, 1536])).
% 15.42/10.25 tff(1541,plain,
% 15.42/10.25 (((~![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(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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1542,plain,
% 15.42/10.25 (((~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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1543,plain,
% 15.42/10.25 (((~![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(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))))),
% 15.42/10.25 inference(monotonicity,[status(thm)],[1542])).
% 15.42/10.25 tff(1544,plain,
% 15.42/10.25 (((~![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(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)))),
% 15.42/10.25 inference(transitivity,[status(thm)],[1543, 1541])).
% 15.42/10.25 tff(1545,plain,
% 15.42/10.25 ((~![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(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))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1546,plain,
% 15.42/10.25 ((~![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(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))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 15.42/10.25 tff(1547,plain,
% 15.42/10.25 ((~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)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1546, 892, 1540])).
% 15.42/10.25 tff(1548,plain,
% 15.42/10.25 (m_main_v_state1(s14, c_c1)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1547, 1529, 1453, 1521, 1514, 1461])).
% 15.42/10.25 tff(1549,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1550,plain,
% 15.42/10.25 ((~![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)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1551,plain,
% 15.42/10.25 ((~![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))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 15.42/10.25 tff(1552,plain,
% 15.42/10.25 (~m_main_v_state1(s14, c_t1)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1551, 539, 1548])).
% 15.42/10.25 tff(1553,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1554,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1555,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 15.42/10.25 tff(1556,plain,
% 15.42/10.25 (~node5(s14)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1555, 550, 1552])).
% 15.42/10.25 tff(1557,plain,
% 15.42/10.25 (((~![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))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1558,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1559,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14)),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 15.42/10.25 tff(1560,plain,
% 15.42/10.25 (node14(s13, s14)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1559, 46, 1536])).
% 15.42/10.25 tff(1561,plain,
% 15.42/10.25 (((~![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(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))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1562,plain,
% 15.42/10.25 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1563,plain,
% 15.42/10.25 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2)),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 15.42/10.25 tff(1564,plain,
% 15.42/10.25 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state2(s14, c_t2)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1563, 922, 1560])).
% 15.42/10.25 tff(1565,plain,
% 15.42/10.25 (m_main_v_state2(s14, c_t2)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1564, 1521, 1453])).
% 15.42/10.25 tff(1566,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1567,plain,
% 15.42/10.25 ((~![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)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1568,plain,
% 15.42/10.25 ((~![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))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 15.42/10.25 tff(1569,plain,
% 15.42/10.25 (~m_main_v_state2(s14, c_n2)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1568, 77, 1565])).
% 15.42/10.25 tff(1570,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1571,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1572,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 15.42/10.25 tff(1573,plain,
% 15.42/10.25 (~node4(s14)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1572, 388, 1569])).
% 15.42/10.25 tff(1574,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1575,plain,
% 15.42/10.25 ((~![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)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1576,plain,
% 15.42/10.25 ((~![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))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 15.42/10.25 tff(1577,plain,
% 15.42/10.25 (~m_main_v_state2(s14, c_c2)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1576, 260, 1565])).
% 15.42/10.25 tff(1578,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1579,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1580,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1579, 1578])).
% 15.42/10.25 tff(1581,plain,
% 15.42/10.25 (~node3(s14)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1580, 399, 1577])).
% 15.42/10.25 tff(1582,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1583,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1584,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 15.42/10.25 tff(1585,plain,
% 15.42/10.25 (~node2(s14)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1584, 410, 1569])).
% 15.42/10.25 tff(1586,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1587,plain,
% 15.42/10.25 ((~![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)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1588,plain,
% 15.42/10.25 ((~![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))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 15.42/10.25 tff(1589,plain,
% 15.42/10.25 (~m_main_v_state1(s14, c_n1)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1588, 454, 1548])).
% 15.42/10.25 tff(1590,plain,
% 15.42/10.25 (((~![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)))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1591,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1592,plain,
% 15.42/10.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14))),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 15.42/10.25 tff(1593,plain,
% 15.42/10.25 (~node1(s14)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1592, 421, 1589])).
% 15.42/10.25 tff(1594,plain,
% 15.42/10.25 (succ(s14, s15) <=> succ(s14, s15)),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1595,axiom,(succ(s14, s15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound15')).
% 15.42/10.25 tff(1596,plain,
% 15.42/10.25 (succ(s14, s15)),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 15.42/10.25 tff(1597,plain,
% 15.42/10.25 (((~![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))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1598,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1599,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 15.42/10.25 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 15.42/10.25 tff(1600,plain,
% 15.42/10.25 (trans(s14, s15)),
% 15.42/10.25 inference(unit_resolution,[status(thm)],[1599, 1596, 32])).
% 15.42/10.25 tff(1601,plain,
% 15.42/10.25 (((~![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))),
% 15.42/10.25 inference(rewrite,[status(thm)],[])).
% 15.42/10.25 tff(1602,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))),
% 15.42/10.25 inference(quant_inst,[status(thm)],[])).
% 15.42/10.25 tff(1603,plain,
% 15.42/10.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15)),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 15.42/10.26 tff(1604,plain,
% 15.42/10.26 (node7(s14, s15)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1603, 206, 1600])).
% 15.42/10.26 tff(1605,plain,
% 15.42/10.26 (((~![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(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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1606,plain,
% 15.42/10.26 (((~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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1607,plain,
% 15.42/10.26 (((~![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(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))))),
% 15.42/10.26 inference(monotonicity,[status(thm)],[1606])).
% 15.42/10.26 tff(1608,plain,
% 15.42/10.26 (((~![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(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)))),
% 15.42/10.26 inference(transitivity,[status(thm)],[1607, 1605])).
% 15.42/10.26 tff(1609,plain,
% 15.42/10.26 ((~![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(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1610,plain,
% 15.42/10.26 ((~![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(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 15.42/10.26 tff(1611,plain,
% 15.42/10.26 (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1610, 584, 1604])).
% 15.42/10.26 tff(1612,plain,
% 15.42/10.26 (m_main_v_state1(s15, c_n1)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1611, 1593, 1548, 1585, 1581, 1573, 1556])).
% 15.42/10.26 tff(1613,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1614,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1615,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 15.42/10.26 tff(1616,plain,
% 15.42/10.26 (~node15(s13)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1615, 103, 1525])).
% 15.42/10.26 tff(1617,plain,
% 15.42/10.26 (((~![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))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1618,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1619,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14)),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 15.42/10.26 tff(1620,plain,
% 15.42/10.26 (node18(s13, s14)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1619, 125, 1536])).
% 15.42/10.26 tff(1621,plain,
% 15.42/10.26 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1622,plain,
% 15.42/10.26 (((~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))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1623,plain,
% 15.42/10.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 15.42/10.26 inference(monotonicity,[status(thm)],[1622])).
% 15.42/10.26 tff(1624,plain,
% 15.42/10.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 15.42/10.26 inference(transitivity,[status(thm)],[1623, 1621])).
% 15.42/10.26 tff(1625,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1626,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 15.42/10.26 tff(1627,plain,
% 15.42/10.26 (node15(s13) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1626, 992, 1620])).
% 15.42/10.26 tff(1628,plain,
% 15.42/10.26 (m_main_v_turn(s14, c_1)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1627, 1616, 1453, 1521])).
% 15.42/10.26 tff(1629,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1630,plain,
% 15.42/10.26 ((~![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)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1631,plain,
% 15.42/10.26 ((~![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))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 15.42/10.26 tff(1632,plain,
% 15.42/10.26 (~m_main_v_turn(s14, c_2)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1631, 156, 1628])).
% 15.42/10.26 tff(1633,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1634,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1635,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 15.42/10.26 tff(1636,plain,
% 15.42/10.26 (~node12(s14)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1635, 184, 1632])).
% 15.42/10.26 tff(1637,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1638,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1639,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 15.42/10.26 tff(1640,plain,
% 15.42/10.26 (~node8(s14)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1639, 271, 1569])).
% 15.42/10.26 tff(1641,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1642,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1643,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1642, 1641])).
% 15.42/10.26 tff(1644,plain,
% 15.42/10.26 (~node9(s14)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1643, 88, 1569])).
% 15.42/10.26 tff(1645,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1646,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1647,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 15.42/10.26 tff(1648,plain,
% 15.42/10.26 (~node10(s14)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1647, 249, 1569])).
% 15.42/10.26 tff(1649,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1650,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1651,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 15.42/10.26 tff(1652,plain,
% 15.42/10.26 (~node11(s14)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1651, 238, 1589])).
% 15.42/10.26 tff(1653,plain,
% 15.42/10.26 (((~![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))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1654,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1655,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15)),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 15.42/10.26 tff(1656,plain,
% 15.42/10.26 (node14(s14, s15)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1655, 46, 1600])).
% 15.42/10.26 tff(1657,plain,
% 15.42/10.26 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1658,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1659,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 15.42/10.26 tff(1660,plain,
% 15.42/10.26 (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1659, 296, 1656])).
% 15.42/10.26 tff(1661,plain,
% 15.42/10.26 (node13(s14, s15)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1660, 1652, 1577, 1648, 1644, 1640, 1636])).
% 15.42/10.26 tff(1662,plain,
% 15.42/10.26 (((~![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(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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1663,plain,
% 15.42/10.26 (((~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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1664,plain,
% 15.42/10.26 (((~![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))))),
% 15.42/10.26 inference(monotonicity,[status(thm)],[1663])).
% 15.42/10.26 tff(1665,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(transitivity,[status(thm)],[1664, 1662])).
% 15.42/10.26 tff(1666,plain,
% 15.42/10.26 ((~![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))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1667,plain,
% 15.42/10.26 ((~![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(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 15.42/10.26 tff(1668,plain,
% 15.42/10.26 (m_main_v_state2(s15, c_t2)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1667, 518, 1565, 1661])).
% 15.42/10.26 tff(1669,plain,
% 15.42/10.26 (succ(s15, s16) <=> succ(s15, s16)),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1670,axiom,(succ(s15, s16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound16')).
% 15.42/10.26 tff(1671,plain,
% 15.42/10.26 (succ(s15, s16)),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 15.42/10.26 tff(1672,plain,
% 15.42/10.26 (((~![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))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1673,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1674,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 15.42/10.26 tff(1675,plain,
% 15.42/10.26 (trans(s15, s16)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1674, 1671, 32])).
% 15.42/10.26 tff(1676,plain,
% 15.42/10.26 (((~![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))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1677,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1678,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16)),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 15.42/10.26 tff(1679,plain,
% 15.42/10.26 (node7(s15, s16)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1678, 206, 1675])).
% 15.42/10.26 tff(1680,plain,
% 15.42/10.26 (((~![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(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))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1681,plain,
% 15.42/10.26 ((~![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(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1682,plain,
% 15.42/10.26 ((~![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(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1)),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1681, 1680])).
% 15.42/10.26 tff(1683,plain,
% 15.42/10.26 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_state1(s16, c_t1)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1682, 651, 1679])).
% 15.42/10.26 tff(1684,plain,
% 15.42/10.26 (m_main_v_state1(s16, c_t1)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1683, 1668, 1612])).
% 15.42/10.26 tff(1685,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1686,plain,
% 15.42/10.26 ((~![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)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1687,plain,
% 15.42/10.26 ((~![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))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 15.42/10.26 tff(1688,plain,
% 15.42/10.26 (~m_main_v_state1(s16, c_n1)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1687, 10, 1684])).
% 15.42/10.26 tff(1689,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1690,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1691,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 15.42/10.26 tff(1692,plain,
% 15.42/10.26 (~node1(s16)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1691, 421, 1688])).
% 15.42/10.26 tff(1693,plain,
% 15.42/10.26 (((~![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))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1694,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1695,plain,
% 15.42/10.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16)),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 15.42/10.26 tff(1696,plain,
% 15.42/10.26 (node18(s15, s16)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1695, 125, 1675])).
% 15.42/10.26 tff(1697,plain,
% 15.42/10.26 (((~![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(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))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1698,plain,
% 15.42/10.26 ((~![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(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1699,plain,
% 15.42/10.26 ((~![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(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2)),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1698, 1697])).
% 15.42/10.26 tff(1700,plain,
% 15.42/10.26 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_turn(s16, c_2)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1699, 760, 1696])).
% 15.42/10.26 tff(1701,plain,
% 15.42/10.26 (m_main_v_turn(s16, c_2)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1700, 1668, 1612])).
% 15.42/10.26 tff(1702,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1703,plain,
% 15.42/10.26 ((~![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)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1704,plain,
% 15.42/10.26 ((~![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))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 15.42/10.26 tff(1705,plain,
% 15.42/10.26 (~m_main_v_turn(s16, c_1)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1704, 156, 1701])).
% 15.42/10.26 tff(1706,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1707,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1708,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 15.42/10.26 tff(1709,plain,
% 15.42/10.26 (~node5(s16)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1708, 776, 1705])).
% 15.42/10.26 tff(1710,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1711,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1712,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1711, 1710])).
% 15.42/10.26 tff(1713,plain,
% 15.42/10.26 (~node2(s16)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1712, 787, 1688])).
% 15.42/10.26 tff(1714,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1715,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1716,plain,
% 15.42/10.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 15.42/10.26 tff(1717,plain,
% 15.42/10.26 (~node3(s16)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1716, 798, 1688])).
% 15.42/10.26 tff(1718,plain,
% 15.42/10.26 (((~![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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1719,plain,
% 15.42/10.26 ((~![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)))),
% 15.42/10.26 inference(quant_inst,[status(thm)],[])).
% 15.42/10.26 tff(1720,plain,
% 15.42/10.26 ((~![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))),
% 15.42/10.26 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 15.42/10.26 tff(1721,plain,
% 15.42/10.26 (~m_main_v_state1(s16, c_c1)),
% 15.42/10.26 inference(unit_resolution,[status(thm)],[1720, 539, 1684])).
% 15.42/10.26 tff(1722,plain,
% 15.42/10.26 (((~![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(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)))),
% 15.42/10.26 inference(rewrite,[status(thm)],[])).
% 15.42/10.26 tff(1723,plain,
% 15.42/10.26 (((~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)))),
% 15.47/10.26 inference(rewrite,[status(thm)],[])).
% 15.47/10.26 tff(1724,plain,
% 15.47/10.26 (((~![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))))),
% 15.47/10.26 inference(monotonicity,[status(thm)],[1723])).
% 15.47/10.26 tff(1725,plain,
% 15.47/10.26 (((~![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)))),
% 15.47/10.26 inference(transitivity,[status(thm)],[1724, 1722])).
% 15.47/10.26 tff(1726,plain,
% 15.47/10.26 ((~![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)))),
% 15.47/10.26 inference(quant_inst,[status(thm)],[])).
% 15.47/10.26 tff(1727,plain,
% 15.47/10.26 ((~![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(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))),
% 15.47/10.26 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 15.47/10.26 tff(1728,plain,
% 15.47/10.26 (~m_main_v_state2(s15, c_n2)),
% 15.47/10.26 inference(unit_resolution,[status(thm)],[1727, 311, 1569, 1661])).
% 15.47/10.26 tff(1729,plain,
% 15.47/10.26 (((~![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)))),
% 15.47/10.26 inference(rewrite,[status(thm)],[])).
% 15.47/10.26 tff(1730,plain,
% 15.47/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 15.47/10.26 inference(quant_inst,[status(thm)],[])).
% 15.47/10.26 tff(1731,plain,
% 15.47/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15))),
% 15.47/10.26 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 15.47/10.26 tff(1732,plain,
% 15.47/10.26 (~node9(s15)),
% 15.47/10.26 inference(unit_resolution,[status(thm)],[1731, 88, 1728])).
% 15.47/10.26 tff(1733,plain,
% 15.47/10.26 (((~![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)))),
% 15.47/10.26 inference(rewrite,[status(thm)],[])).
% 15.47/10.26 tff(1734,plain,
% 15.47/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 15.47/10.26 inference(quant_inst,[status(thm)],[])).
% 15.47/10.26 tff(1735,plain,
% 15.47/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15))),
% 15.47/10.26 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 15.47/10.26 tff(1736,plain,
% 15.47/10.26 (~node10(s15)),
% 15.47/10.26 inference(unit_resolution,[status(thm)],[1735, 249, 1728])).
% 15.47/10.26 tff(1737,plain,
% 15.47/10.26 (((~![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)))),
% 15.47/10.26 inference(rewrite,[status(thm)],[])).
% 15.47/10.26 tff(1738,plain,
% 15.47/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 15.47/10.26 inference(quant_inst,[status(thm)],[])).
% 15.47/10.26 tff(1739,plain,
% 15.47/10.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15))),
% 15.47/10.26 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 15.47/10.26 tff(1740,plain,
% 15.47/10.26 (~node8(s15)),
% 15.47/10.26 inference(unit_resolution,[status(thm)],[1739, 271, 1728])).
% 15.47/10.26 tff(1741,plain,
% 15.47/10.26 (((~![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))),
% 15.47/10.26 inference(rewrite,[status(thm)],[])).
% 15.47/10.26 tff(1742,plain,
% 15.47/10.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1743,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 15.47/10.27 tff(1744,plain,
% 15.47/10.27 (node14(s15, s16)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1743, 46, 1675])).
% 15.47/10.27 tff(1745,plain,
% 15.47/10.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1746,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1747,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 15.47/10.27 tff(1748,plain,
% 15.47/10.27 ((~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)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1747, 617, 1744])).
% 15.47/10.27 tff(1749,plain,
% 15.47/10.27 (m_main_v_state2(s16, c_c2)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1748, 1740, 1612, 1668, 1736, 1732])).
% 15.47/10.27 tff(1750,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1751,plain,
% 15.47/10.27 ((~![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)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1752,plain,
% 15.47/10.27 ((~![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))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1751, 1750])).
% 15.47/10.27 tff(1753,plain,
% 15.47/10.27 (~m_main_v_state2(s16, c_n2)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1752, 697, 1749])).
% 15.47/10.27 tff(1754,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1755,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1756,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1755, 1754])).
% 15.47/10.27 tff(1757,plain,
% 15.47/10.27 (~node4(s16)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1756, 388, 1753])).
% 15.47/10.27 tff(1758,plain,
% 15.47/10.27 (succ(s16, s17) <=> succ(s16, s17)),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1759,axiom,(succ(s16, s17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound17')).
% 15.47/10.27 tff(1760,plain,
% 15.47/10.27 (succ(s16, s17)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1759, 1758])).
% 15.47/10.27 tff(1761,plain,
% 15.47/10.27 (((~![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))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1762,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1763,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 15.47/10.27 tff(1764,plain,
% 15.47/10.27 (trans(s16, s17)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1763, 1760, 32])).
% 15.47/10.27 tff(1765,plain,
% 15.47/10.27 (((~![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))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1766,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1767,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1766, 1765])).
% 15.47/10.27 tff(1768,plain,
% 15.47/10.27 (node7(s16, s17)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1767, 206, 1764])).
% 15.47/10.27 tff(1769,plain,
% 15.47/10.27 (((~![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(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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1770,plain,
% 15.47/10.27 ((~![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(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1771,plain,
% 15.47/10.27 ((~![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(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 15.47/10.27 tff(1772,plain,
% 15.47/10.27 (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1771, 820, 1768])).
% 15.47/10.27 tff(1773,plain,
% 15.47/10.27 (node6(s16, s17)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1772, 1757, 1721, 1717, 1713, 1709, 1692])).
% 15.47/10.27 tff(1774,plain,
% 15.47/10.27 (((~![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(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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1775,plain,
% 15.47/10.27 (((~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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1776,plain,
% 15.47/10.27 (((~![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))))),
% 15.47/10.27 inference(monotonicity,[status(thm)],[1775])).
% 15.47/10.27 tff(1777,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(transitivity,[status(thm)],[1776, 1774])).
% 15.47/10.27 tff(1778,plain,
% 15.47/10.27 ((~![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))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1779,plain,
% 15.47/10.27 ((~![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(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 15.47/10.27 tff(1780,plain,
% 15.47/10.27 (m_main_v_state1(s17, c_t1)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1779, 856, 1684, 1773])).
% 15.47/10.27 tff(1781,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1782,plain,
% 15.47/10.27 ((~![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)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1783,plain,
% 15.47/10.27 ((~![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))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 15.47/10.27 tff(1784,plain,
% 15.47/10.27 (~m_main_v_state2(s16, c_t2)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1783, 260, 1749])).
% 15.47/10.27 tff(1785,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1786,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1787,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1786, 1785])).
% 15.47/10.27 tff(1788,plain,
% 15.47/10.27 (~node12(s16)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1787, 633, 1784])).
% 15.47/10.27 tff(1789,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1790,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1791,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 15.47/10.27 tff(1792,plain,
% 15.47/10.27 (~node11(s16)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1791, 238, 1688])).
% 15.47/10.27 tff(1793,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1794,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1795,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 15.47/10.27 tff(1796,plain,
% 15.47/10.27 (~node10(s16)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1795, 675, 1721])).
% 15.47/10.27 tff(1797,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1798,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1799,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 15.47/10.27 tff(1800,plain,
% 15.47/10.27 (~node9(s16)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1799, 686, 1688])).
% 15.47/10.27 tff(1801,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1802,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1803,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 15.47/10.27 tff(1804,plain,
% 15.47/10.27 (~node8(s16)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1803, 271, 1753])).
% 15.47/10.27 tff(1805,plain,
% 15.47/10.27 (((~![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))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1806,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1807,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 15.47/10.27 tff(1808,plain,
% 15.47/10.27 (node14(s16, s17)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1807, 46, 1764])).
% 15.47/10.27 tff(1809,plain,
% 15.47/10.27 (((~![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(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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1810,plain,
% 15.47/10.27 (((~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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1811,plain,
% 15.47/10.27 (((~![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(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))))),
% 15.47/10.27 inference(monotonicity,[status(thm)],[1810])).
% 15.47/10.27 tff(1812,plain,
% 15.47/10.27 (((~![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(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)))),
% 15.47/10.27 inference(transitivity,[status(thm)],[1811, 1809])).
% 15.47/10.27 tff(1813,plain,
% 15.47/10.27 ((~![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(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1814,plain,
% 15.47/10.27 ((~![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(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 15.47/10.27 tff(1815,plain,
% 15.47/10.27 (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~m_main_v_state2(s16, c_c2))),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1814, 726, 1808])).
% 15.47/10.27 tff(1816,plain,
% 15.47/10.27 (m_main_v_state2(s17, c_n2)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1815, 1804, 1749, 1800, 1796, 1792, 1788])).
% 15.47/10.27 tff(1817,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1818,plain,
% 15.47/10.27 ((~![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)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1819,plain,
% 15.47/10.27 ((~![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))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 15.47/10.27 tff(1820,plain,
% 15.47/10.27 (~m_main_v_state2(s17, c_t2)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1819, 77, 1816])).
% 15.47/10.27 tff(1821,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1822,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1823,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 15.47/10.27 tff(1824,plain,
% 15.47/10.27 (~node15(s17)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1823, 103, 1820])).
% 15.47/10.27 tff(1825,plain,
% 15.47/10.27 (succ(s17, s18) <=> succ(s17, s18)),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1826,axiom,(succ(s17, s18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound18')).
% 15.47/10.27 tff(1827,plain,
% 15.47/10.27 (succ(s17, s18)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 15.47/10.27 tff(1828,plain,
% 15.47/10.27 (((~![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))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1829,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1830,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1829, 1828])).
% 15.47/10.27 tff(1831,plain,
% 15.47/10.27 (trans(s17, s18)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1830, 1827, 32])).
% 15.47/10.27 tff(1832,plain,
% 15.47/10.27 (((~![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))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1833,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1834,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 15.47/10.27 tff(1835,plain,
% 15.47/10.27 (node18(s17, s18)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1834, 125, 1831])).
% 15.47/10.27 tff(1836,plain,
% 15.47/10.27 (((~![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(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))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1837,plain,
% 15.47/10.27 (((~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))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1838,plain,
% 15.47/10.27 (((~![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(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)))),
% 15.47/10.27 inference(monotonicity,[status(thm)],[1837])).
% 15.47/10.27 tff(1839,plain,
% 15.47/10.27 (((~![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(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))),
% 15.47/10.27 inference(transitivity,[status(thm)],[1838, 1836])).
% 15.47/10.27 tff(1840,plain,
% 15.47/10.27 ((~![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(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1841,plain,
% 15.47/10.27 ((~![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(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)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 15.47/10.27 tff(1842,plain,
% 15.47/10.27 (node15(s17) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1841, 992, 1835])).
% 15.47/10.27 tff(1843,plain,
% 15.47/10.27 (m_main_v_turn(s18, c_1)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1842, 1824, 1816, 1780])).
% 15.47/10.27 tff(1844,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1845,plain,
% 15.47/10.27 ((~![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)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1846,plain,
% 15.47/10.27 ((~![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))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 15.47/10.27 tff(1847,plain,
% 15.47/10.27 (~m_main_v_turn(s18, c_2)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1846, 156, 1843])).
% 15.47/10.27 tff(1848,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1849,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1850,plain,
% 15.47/10.27 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18))),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1849, 1848])).
% 15.47/10.27 tff(1851,plain,
% 15.47/10.27 (~node12(s18)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1850, 184, 1847])).
% 15.47/10.27 tff(1852,plain,
% 15.47/10.27 (((~![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))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1853,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1854,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 15.47/10.27 tff(1855,plain,
% 15.47/10.27 (node14(s17, s18)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1854, 46, 1831])).
% 15.47/10.27 tff(1856,plain,
% 15.47/10.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1857,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.47/10.27 inference(quant_inst,[status(thm)],[])).
% 15.47/10.27 tff(1858,plain,
% 15.47/10.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.47/10.27 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 15.47/10.27 tff(1859,plain,
% 15.47/10.27 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state2(s18, c_t2)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1858, 922, 1855])).
% 15.47/10.27 tff(1860,plain,
% 15.47/10.27 (m_main_v_state2(s18, c_t2)),
% 15.47/10.27 inference(unit_resolution,[status(thm)],[1859, 1780, 1816])).
% 15.47/10.27 tff(1861,plain,
% 15.47/10.27 (((~![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)))),
% 15.47/10.27 inference(rewrite,[status(thm)],[])).
% 15.47/10.27 tff(1862,plain,
% 15.47/10.27 ((~![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)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1863,plain,
% 15.47/10.28 ((~![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))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 15.47/10.28 tff(1864,plain,
% 15.47/10.28 (~m_main_v_state2(s18, c_n2)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1863, 77, 1860])).
% 15.47/10.28 tff(1865,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1866,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1867,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 15.47/10.28 tff(1868,plain,
% 15.47/10.28 (~node8(s18)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1867, 271, 1864])).
% 15.47/10.28 tff(1869,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1870,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1871,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 15.47/10.28 tff(1872,plain,
% 15.47/10.28 (~node9(s18)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1871, 88, 1864])).
% 15.47/10.28 tff(1873,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1874,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1875,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 15.47/10.28 tff(1876,plain,
% 15.47/10.28 (~node10(s18)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1875, 249, 1864])).
% 15.47/10.28 tff(1877,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1878,plain,
% 15.47/10.28 ((~![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)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1879,plain,
% 15.47/10.28 ((~![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))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 15.47/10.28 tff(1880,plain,
% 15.47/10.28 (~m_main_v_state2(s18, c_c2)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1879, 260, 1860])).
% 15.47/10.28 tff(1881,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1882,plain,
% 15.47/10.28 ((~![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)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1883,plain,
% 15.47/10.28 ((~![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))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 15.47/10.28 tff(1884,plain,
% 15.47/10.28 (~m_main_v_state2(s17, c_c2)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1883, 697, 1816])).
% 15.47/10.28 tff(1885,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1886,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1887,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1886, 1885])).
% 15.47/10.28 tff(1888,plain,
% 15.47/10.28 (~node3(s17)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1887, 399, 1884])).
% 15.47/10.28 tff(1889,plain,
% 15.47/10.28 (((~![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(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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1890,plain,
% 15.47/10.28 (((~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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1891,plain,
% 15.47/10.28 (((~![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))))),
% 15.47/10.28 inference(monotonicity,[status(thm)],[1890])).
% 15.47/10.28 tff(1892,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(transitivity,[status(thm)],[1891, 1889])).
% 15.47/10.28 tff(1893,plain,
% 15.47/10.28 ((~![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)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1894,plain,
% 15.47/10.28 ((~![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(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 15.47/10.28 tff(1895,plain,
% 15.47/10.28 (~m_main_v_state1(s17, c_n1)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1894, 835, 1688, 1773])).
% 15.47/10.28 tff(1896,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1897,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1898,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 15.47/10.28 tff(1899,plain,
% 15.47/10.28 (~node2(s17)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1898, 787, 1895])).
% 15.47/10.28 tff(1900,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1901,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1902,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 15.47/10.28 tff(1903,plain,
% 15.47/10.28 (~node1(s17)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1902, 195, 1820])).
% 15.47/10.28 tff(1904,plain,
% 15.47/10.28 (((~![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))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1905,plain,
% 15.47/10.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1906,plain,
% 15.47/10.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18)),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 15.47/10.28 tff(1907,plain,
% 15.47/10.28 (node7(s17, s18)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1906, 206, 1831])).
% 15.47/10.28 tff(1908,plain,
% 15.47/10.28 (((~![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(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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1909,plain,
% 15.47/10.28 (((~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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1910,plain,
% 15.47/10.28 (((~![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(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))))),
% 15.47/10.28 inference(monotonicity,[status(thm)],[1909])).
% 15.47/10.28 tff(1911,plain,
% 15.47/10.28 (((~![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(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)))),
% 15.47/10.28 inference(transitivity,[status(thm)],[1910, 1908])).
% 15.47/10.28 tff(1912,plain,
% 15.47/10.28 ((~![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(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))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1913,plain,
% 15.47/10.28 ((~![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(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))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 15.47/10.28 tff(1914,plain,
% 15.47/10.28 ((~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)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1913, 892, 1907])).
% 15.47/10.28 tff(1915,plain,
% 15.47/10.28 (m_main_v_state1(s18, c_c1)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1914, 1903, 1816, 1780, 1899, 1888])).
% 15.47/10.28 tff(1916,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1917,plain,
% 15.47/10.28 ((~![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)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1918,plain,
% 15.47/10.28 ((~![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))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 15.47/10.28 tff(1919,plain,
% 15.47/10.28 (~m_main_v_state1(s18, c_n1)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1918, 454, 1915])).
% 15.47/10.28 tff(1920,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1921,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1922,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 15.47/10.28 tff(1923,plain,
% 15.47/10.28 (~node11(s18)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1922, 238, 1919])).
% 15.47/10.28 tff(1924,plain,
% 15.47/10.28 (succ(s18, s19) <=> succ(s18, s19)),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1925,axiom,(succ(s18, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound19')).
% 15.47/10.28 tff(1926,plain,
% 15.47/10.28 (succ(s18, s19)),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 15.47/10.28 tff(1927,plain,
% 15.47/10.28 (((~![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))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1928,plain,
% 15.47/10.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1929,plain,
% 15.47/10.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 15.47/10.28 tff(1930,plain,
% 15.47/10.28 (trans(s18, s19)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1929, 1926, 32])).
% 15.47/10.28 tff(1931,plain,
% 15.47/10.28 (((~![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))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1932,plain,
% 15.47/10.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1933,plain,
% 15.47/10.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19)),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 15.47/10.28 tff(1934,plain,
% 15.47/10.28 (node14(s18, s19)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1933, 46, 1930])).
% 15.47/10.28 tff(1935,plain,
% 15.47/10.28 (((~![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(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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1936,plain,
% 15.47/10.28 ((~![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(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1937,plain,
% 15.47/10.28 ((~![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(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1936, 1935])).
% 15.47/10.28 tff(1938,plain,
% 15.47/10.28 (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1937, 296, 1934])).
% 15.47/10.28 tff(1939,plain,
% 15.47/10.28 (node13(s18, s19)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1938, 1923, 1880, 1876, 1872, 1868, 1851])).
% 15.47/10.28 tff(1940,plain,
% 15.47/10.28 (((~![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(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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1941,plain,
% 15.47/10.28 (((~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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1942,plain,
% 15.47/10.28 (((~![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))))),
% 15.47/10.28 inference(monotonicity,[status(thm)],[1941])).
% 15.47/10.28 tff(1943,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(transitivity,[status(thm)],[1942, 1940])).
% 15.47/10.28 tff(1944,plain,
% 15.47/10.28 ((~![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)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1945,plain,
% 15.47/10.28 ((~![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(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 15.47/10.28 tff(1946,plain,
% 15.47/10.28 (~m_main_v_state2(s19, c_n2)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1945, 311, 1864, 1939])).
% 15.47/10.28 tff(1947,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1948,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1949,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 15.47/10.28 tff(1950,plain,
% 15.47/10.28 (~node9(s19)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1949, 88, 1946])).
% 15.47/10.28 tff(1951,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1952,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1953,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 15.47/10.28 tff(1954,plain,
% 15.47/10.28 (~node10(s19)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1953, 249, 1946])).
% 15.47/10.28 tff(1955,plain,
% 15.47/10.28 (((~![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(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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1956,plain,
% 15.47/10.28 (((~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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1957,plain,
% 15.47/10.28 (((~![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))))),
% 15.47/10.28 inference(monotonicity,[status(thm)],[1956])).
% 15.47/10.28 tff(1958,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(transitivity,[status(thm)],[1957, 1955])).
% 15.47/10.28 tff(1959,plain,
% 15.47/10.28 ((~![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))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1960,plain,
% 15.47/10.28 ((~![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(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 15.47/10.28 tff(1961,plain,
% 15.47/10.28 (m_main_v_state2(s19, c_t2)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1960, 518, 1860, 1939])).
% 15.47/10.28 tff(1962,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1963,plain,
% 15.47/10.28 ((~![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)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1964,plain,
% 15.47/10.28 ((~![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))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 15.47/10.28 tff(1965,plain,
% 15.47/10.28 (~m_main_v_state1(s18, c_t1)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1964, 539, 1915])).
% 15.47/10.28 tff(1966,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1967,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1968,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 15.47/10.28 tff(1969,plain,
% 15.47/10.28 (~node5(s18)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1968, 550, 1965])).
% 15.47/10.28 tff(1970,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1971,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1972,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 15.47/10.28 tff(1973,plain,
% 15.47/10.28 (~node4(s18)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1972, 388, 1864])).
% 15.47/10.28 tff(1974,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1975,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1976,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1975, 1974])).
% 15.47/10.28 tff(1977,plain,
% 15.47/10.28 (~node3(s18)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1976, 399, 1880])).
% 15.47/10.28 tff(1978,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1979,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1980,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 15.47/10.28 tff(1981,plain,
% 15.47/10.28 (~node2(s18)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1980, 410, 1864])).
% 15.47/10.28 tff(1982,plain,
% 15.47/10.28 (((~![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)))),
% 15.47/10.28 inference(rewrite,[status(thm)],[])).
% 15.47/10.28 tff(1983,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 15.47/10.28 inference(quant_inst,[status(thm)],[])).
% 15.47/10.28 tff(1984,plain,
% 15.47/10.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18))),
% 15.47/10.28 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 15.47/10.28 tff(1985,plain,
% 15.47/10.28 (~node1(s18)),
% 15.47/10.28 inference(unit_resolution,[status(thm)],[1984, 421, 1919])).
% 15.47/10.28 tff(1986,plain,
% 15.47/10.28 (((~![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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(1987,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(1988,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 15.47/10.29 tff(1989,plain,
% 15.47/10.29 (node7(s18, s19)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[1988, 206, 1930])).
% 15.47/10.29 tff(1990,plain,
% 15.47/10.29 (((~![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(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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(1991,plain,
% 15.47/10.29 (((~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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(1992,plain,
% 15.47/10.29 (((~![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(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))))),
% 15.47/10.29 inference(monotonicity,[status(thm)],[1991])).
% 15.47/10.29 tff(1993,plain,
% 15.47/10.29 (((~![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(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)))),
% 15.47/10.29 inference(transitivity,[status(thm)],[1992, 1990])).
% 15.47/10.29 tff(1994,plain,
% 15.47/10.29 ((~![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(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(1995,plain,
% 15.47/10.29 ((~![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(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 15.47/10.29 tff(1996,plain,
% 15.47/10.29 (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[1995, 584, 1989])).
% 15.47/10.29 tff(1997,plain,
% 15.47/10.29 (m_main_v_state1(s19, c_n1)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[1996, 1985, 1915, 1981, 1977, 1973, 1969])).
% 15.47/10.29 tff(1998,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(1999,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2000,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 15.47/10.29 tff(2001,plain,
% 15.47/10.29 (~node8(s19)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2000, 271, 1946])).
% 15.47/10.29 tff(2002,plain,
% 15.47/10.29 (succ(s19, s20) <=> succ(s19, s20)),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2003,axiom,(succ(s19, s20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound20')).
% 15.47/10.29 tff(2004,plain,
% 15.47/10.29 (succ(s19, s20)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 15.47/10.29 tff(2005,plain,
% 15.47/10.29 (((~![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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2006,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2007,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 15.47/10.29 tff(2008,plain,
% 15.47/10.29 (trans(s19, s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2007, 2004, 32])).
% 15.47/10.29 tff(2009,plain,
% 15.47/10.29 (((~![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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2010,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2011,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2010, 2009])).
% 15.47/10.29 tff(2012,plain,
% 15.47/10.29 (node14(s19, s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2011, 46, 2008])).
% 15.47/10.29 tff(2013,plain,
% 15.47/10.29 (((~![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(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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2014,plain,
% 15.47/10.29 ((~![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(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))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2015,plain,
% 15.47/10.29 ((~![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(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)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 15.47/10.29 tff(2016,plain,
% 15.47/10.29 ((~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)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2015, 617, 2012])).
% 15.47/10.29 tff(2017,plain,
% 15.47/10.29 (m_main_v_state2(s20, c_c2)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2016, 2001, 1997, 1961, 1954, 1950])).
% 15.47/10.29 tff(2018,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2019,plain,
% 15.47/10.29 ((~![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)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2020,plain,
% 15.47/10.29 ((~![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))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 15.47/10.29 tff(2021,plain,
% 15.47/10.29 (~m_main_v_state2(s20, c_t2)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2020, 260, 2017])).
% 15.47/10.29 tff(2022,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2023,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2024,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 15.47/10.29 tff(2025,plain,
% 15.47/10.29 (~node12(s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2024, 633, 2021])).
% 15.47/10.29 tff(2026,plain,
% 15.47/10.29 (((~![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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2027,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2028,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2027, 2026])).
% 15.47/10.29 tff(2029,plain,
% 15.47/10.29 (node7(s19, s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2028, 206, 2008])).
% 15.47/10.29 tff(2030,plain,
% 15.47/10.29 (((~![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(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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2031,plain,
% 15.47/10.29 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2032,plain,
% 15.47/10.29 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2031, 2030])).
% 15.47/10.29 tff(2033,plain,
% 15.47/10.29 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_state1(s20, c_t1)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2032, 651, 2029])).
% 15.47/10.29 tff(2034,plain,
% 15.47/10.29 (m_main_v_state1(s20, c_t1)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2033, 1961, 1997])).
% 15.47/10.29 tff(2035,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2036,plain,
% 15.47/10.29 ((~![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)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2037,plain,
% 15.47/10.29 ((~![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))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 15.47/10.29 tff(2038,plain,
% 15.47/10.29 (~m_main_v_state1(s20, c_n1)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2037, 10, 2034])).
% 15.47/10.29 tff(2039,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2040,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2041,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 15.47/10.29 tff(2042,plain,
% 15.47/10.29 (~node11(s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2041, 238, 2038])).
% 15.47/10.29 tff(2043,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2044,plain,
% 15.47/10.29 ((~![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)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2045,plain,
% 15.47/10.29 ((~![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))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 15.47/10.29 tff(2046,plain,
% 15.47/10.29 (~m_main_v_state1(s20, c_c1)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2045, 539, 2034])).
% 15.47/10.29 tff(2047,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2048,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2049,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 15.47/10.29 tff(2050,plain,
% 15.47/10.29 (~node10(s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2049, 675, 2046])).
% 15.47/10.29 tff(2051,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2052,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2053,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 15.47/10.29 tff(2054,plain,
% 15.47/10.29 (~node9(s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2053, 686, 2038])).
% 15.47/10.29 tff(2055,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2056,plain,
% 15.47/10.29 ((~![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)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2057,plain,
% 15.47/10.29 ((~![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))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 15.47/10.29 tff(2058,plain,
% 15.47/10.29 (~m_main_v_state2(s20, c_n2)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2057, 697, 2017])).
% 15.47/10.29 tff(2059,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2060,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2061,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 15.47/10.29 tff(2062,plain,
% 15.47/10.29 (~node8(s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2061, 271, 2058])).
% 15.47/10.29 tff(2063,plain,
% 15.47/10.29 (succ(s20, s21) <=> succ(s20, s21)),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2064,axiom,(succ(s20, s21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound21')).
% 15.47/10.29 tff(2065,plain,
% 15.47/10.29 (succ(s20, s21)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2064, 2063])).
% 15.47/10.29 tff(2066,plain,
% 15.47/10.29 (((~![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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2067,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2068,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 15.47/10.29 tff(2069,plain,
% 15.47/10.29 (trans(s20, s21)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2068, 2065, 32])).
% 15.47/10.29 tff(2070,plain,
% 15.47/10.29 (((~![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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2071,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2072,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 15.47/10.29 tff(2073,plain,
% 15.47/10.29 (node14(s20, s21)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2072, 46, 2069])).
% 15.47/10.29 tff(2074,plain,
% 15.47/10.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2075,plain,
% 15.47/10.29 (((~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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2076,plain,
% 15.47/10.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 15.47/10.29 inference(monotonicity,[status(thm)],[2075])).
% 15.47/10.29 tff(2077,plain,
% 15.47/10.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 15.47/10.29 inference(transitivity,[status(thm)],[2076, 2074])).
% 15.47/10.29 tff(2078,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2079,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 15.47/10.29 tff(2080,plain,
% 15.47/10.29 (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~m_main_v_state2(s20, c_c2))),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2079, 726, 2073])).
% 15.47/10.29 tff(2081,plain,
% 15.47/10.29 (m_main_v_state2(s21, c_n2)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2080, 2062, 2017, 2054, 2050, 2042, 2025])).
% 15.47/10.29 tff(2082,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2083,plain,
% 15.47/10.29 ((~![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)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2084,plain,
% 15.47/10.29 ((~![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))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 15.47/10.29 tff(2085,plain,
% 15.47/10.29 (~m_main_v_state2(s21, c_c2)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2084, 697, 2081])).
% 15.47/10.29 tff(2086,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2087,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2088,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 15.47/10.29 tff(2089,plain,
% 15.47/10.29 (~node3(s21)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2088, 399, 2085])).
% 15.47/10.29 tff(2090,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2091,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2092,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2091, 2090])).
% 15.47/10.29 tff(2093,plain,
% 15.47/10.29 (~node1(s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2092, 421, 2038])).
% 15.47/10.29 tff(2094,plain,
% 15.47/10.29 (((~![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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2095,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2096,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2095, 2094])).
% 15.47/10.29 tff(2097,plain,
% 15.47/10.29 (node18(s19, s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2096, 125, 2008])).
% 15.47/10.29 tff(2098,plain,
% 15.47/10.29 (((~![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(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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2099,plain,
% 15.47/10.29 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2100,plain,
% 15.47/10.29 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 15.47/10.29 tff(2101,plain,
% 15.47/10.29 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_turn(s20, c_2)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2100, 760, 2097])).
% 15.47/10.29 tff(2102,plain,
% 15.47/10.29 (m_main_v_turn(s20, c_2)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2101, 1961, 1997])).
% 15.47/10.29 tff(2103,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2104,plain,
% 15.47/10.29 ((~![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)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2105,plain,
% 15.47/10.29 ((~![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))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 15.47/10.29 tff(2106,plain,
% 15.47/10.29 (~m_main_v_turn(s20, c_1)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2105, 156, 2102])).
% 15.47/10.29 tff(2107,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2108,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2109,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 15.47/10.29 tff(2110,plain,
% 15.47/10.29 (~node5(s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2109, 776, 2106])).
% 15.47/10.29 tff(2111,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2112,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2113,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 15.47/10.29 tff(2114,plain,
% 15.47/10.29 (~node2(s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2113, 787, 2038])).
% 15.47/10.29 tff(2115,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2116,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2117,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 15.47/10.29 tff(2118,plain,
% 15.47/10.29 (~node3(s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2117, 798, 2038])).
% 15.47/10.29 tff(2119,plain,
% 15.47/10.29 (((~![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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2120,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2121,plain,
% 15.47/10.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20))),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 15.47/10.29 tff(2122,plain,
% 15.47/10.29 (~node4(s20)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2121, 388, 2058])).
% 15.47/10.29 tff(2123,plain,
% 15.47/10.29 (((~![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))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2124,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2125,plain,
% 15.47/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21)),
% 15.47/10.29 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 15.47/10.29 tff(2126,plain,
% 15.47/10.29 (node7(s20, s21)),
% 15.47/10.29 inference(unit_resolution,[status(thm)],[2125, 206, 2069])).
% 15.47/10.29 tff(2127,plain,
% 15.47/10.29 (((~![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(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)))),
% 15.47/10.29 inference(rewrite,[status(thm)],[])).
% 15.47/10.29 tff(2128,plain,
% 15.47/10.29 ((~![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(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 15.47/10.29 inference(quant_inst,[status(thm)],[])).
% 15.47/10.29 tff(2129,plain,
% 15.47/10.29 ((~![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(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 15.47/10.30 tff(2130,plain,
% 15.47/10.30 (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2129, 820, 2126])).
% 15.47/10.30 tff(2131,plain,
% 15.47/10.30 (node6(s20, s21)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2130, 2122, 2046, 2118, 2114, 2110, 2093])).
% 15.47/10.30 tff(2132,plain,
% 15.47/10.30 (((~![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(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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2133,plain,
% 15.47/10.30 (((~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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2134,plain,
% 15.47/10.30 (((~![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))))),
% 15.47/10.30 inference(monotonicity,[status(thm)],[2133])).
% 15.47/10.30 tff(2135,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(transitivity,[status(thm)],[2134, 2132])).
% 15.47/10.30 tff(2136,plain,
% 15.47/10.30 ((~![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)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2137,plain,
% 15.47/10.30 ((~![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(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 15.47/10.30 tff(2138,plain,
% 15.47/10.30 (~m_main_v_state1(s21, c_n1)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2137, 835, 2038, 2131])).
% 15.47/10.30 tff(2139,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2140,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2141,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 15.47/10.30 tff(2142,plain,
% 15.47/10.30 (~node2(s21)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2141, 787, 2138])).
% 15.47/10.30 tff(2143,plain,
% 15.47/10.30 (((~![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(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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2144,plain,
% 15.47/10.30 (((~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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2145,plain,
% 15.47/10.30 (((~![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))))),
% 15.47/10.30 inference(monotonicity,[status(thm)],[2144])).
% 15.47/10.30 tff(2146,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(transitivity,[status(thm)],[2145, 2143])).
% 15.47/10.30 tff(2147,plain,
% 15.47/10.30 ((~![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))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2148,plain,
% 15.47/10.30 ((~![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(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 15.47/10.30 tff(2149,plain,
% 15.47/10.30 (m_main_v_state1(s21, c_t1)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2148, 856, 2034, 2131])).
% 15.47/10.30 tff(2150,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2151,plain,
% 15.47/10.30 ((~![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)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2152,plain,
% 15.47/10.30 ((~![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))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 15.47/10.30 tff(2153,plain,
% 15.47/10.30 (~m_main_v_state2(s21, c_t2)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2152, 77, 2081])).
% 15.47/10.30 tff(2154,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2155,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2156,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2155, 2154])).
% 15.47/10.30 tff(2157,plain,
% 15.47/10.30 (~node1(s21)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2156, 195, 2153])).
% 15.47/10.30 tff(2158,plain,
% 15.47/10.30 (succ(s21, s22) <=> succ(s21, s22)),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2159,axiom,(succ(s21, s22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound22')).
% 15.47/10.30 tff(2160,plain,
% 15.47/10.30 (succ(s21, s22)),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 15.47/10.30 tff(2161,plain,
% 15.47/10.30 (((~![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))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2162,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2163,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2162, 2161])).
% 15.47/10.30 tff(2164,plain,
% 15.47/10.30 (trans(s21, s22)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2163, 2160, 32])).
% 15.47/10.30 tff(2165,plain,
% 15.47/10.30 (((~![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))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2166,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2167,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22)),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 15.47/10.30 tff(2168,plain,
% 15.47/10.30 (node7(s21, s22)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2167, 206, 2164])).
% 15.47/10.30 tff(2169,plain,
% 15.47/10.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2170,plain,
% 15.47/10.30 (((~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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2171,plain,
% 15.47/10.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 15.47/10.30 inference(monotonicity,[status(thm)],[2170])).
% 15.47/10.30 tff(2172,plain,
% 15.47/10.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.47/10.30 inference(transitivity,[status(thm)],[2171, 2169])).
% 15.47/10.30 tff(2173,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2174,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 15.47/10.30 tff(2175,plain,
% 15.47/10.30 ((~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)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2174, 892, 2168])).
% 15.47/10.30 tff(2176,plain,
% 15.47/10.30 (m_main_v_state1(s22, c_c1)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2175, 2157, 2081, 2149, 2142, 2089])).
% 15.47/10.30 tff(2177,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2178,plain,
% 15.47/10.30 ((~![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)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2179,plain,
% 15.47/10.30 ((~![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))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2178, 2177])).
% 15.47/10.30 tff(2180,plain,
% 15.47/10.30 (~m_main_v_state1(s22, c_t1)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2179, 539, 2176])).
% 15.47/10.30 tff(2181,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2182,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2183,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 15.47/10.30 tff(2184,plain,
% 15.47/10.30 (~node5(s22)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2183, 550, 2180])).
% 15.47/10.30 tff(2185,plain,
% 15.47/10.30 (((~![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))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2186,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2187,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22)),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 15.47/10.30 tff(2188,plain,
% 15.47/10.30 (node14(s21, s22)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2187, 46, 2164])).
% 15.47/10.30 tff(2189,plain,
% 15.47/10.30 (((~![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(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))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2190,plain,
% 15.47/10.30 ((~![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(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2191,plain,
% 15.47/10.30 ((~![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(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2)),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 15.47/10.30 tff(2192,plain,
% 15.47/10.30 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state2(s22, c_t2)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2191, 922, 2188])).
% 15.47/10.30 tff(2193,plain,
% 15.47/10.30 (m_main_v_state2(s22, c_t2)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2192, 2149, 2081])).
% 15.47/10.30 tff(2194,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2195,plain,
% 15.47/10.30 ((~![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)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2196,plain,
% 15.47/10.30 ((~![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))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 15.47/10.30 tff(2197,plain,
% 15.47/10.30 (~m_main_v_state2(s22, c_n2)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2196, 77, 2193])).
% 15.47/10.30 tff(2198,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2199,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2200,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2199, 2198])).
% 15.47/10.30 tff(2201,plain,
% 15.47/10.30 (~node4(s22)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2200, 388, 2197])).
% 15.47/10.30 tff(2202,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2203,plain,
% 15.47/10.30 ((~![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)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2204,plain,
% 15.47/10.30 ((~![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))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2203, 2202])).
% 15.47/10.30 tff(2205,plain,
% 15.47/10.30 (~m_main_v_state2(s22, c_c2)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2204, 260, 2193])).
% 15.47/10.30 tff(2206,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2207,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2208,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 15.47/10.30 tff(2209,plain,
% 15.47/10.30 (~node3(s22)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2208, 399, 2205])).
% 15.47/10.30 tff(2210,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2211,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2212,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 15.47/10.30 tff(2213,plain,
% 15.47/10.30 (~node2(s22)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2212, 410, 2197])).
% 15.47/10.30 tff(2214,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2215,plain,
% 15.47/10.30 ((~![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)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2216,plain,
% 15.47/10.30 ((~![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))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 15.47/10.30 tff(2217,plain,
% 15.47/10.30 (~m_main_v_state1(s22, c_n1)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2216, 454, 2176])).
% 15.47/10.30 tff(2218,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2219,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2220,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 15.47/10.30 tff(2221,plain,
% 15.47/10.30 (~node1(s22)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2220, 421, 2217])).
% 15.47/10.30 tff(2222,plain,
% 15.47/10.30 (succ(s22, s23) <=> succ(s22, s23)),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2223,axiom,(succ(s22, s23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound23')).
% 15.47/10.30 tff(2224,plain,
% 15.47/10.30 (succ(s22, s23)),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 15.47/10.30 tff(2225,plain,
% 15.47/10.30 (((~![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))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2226,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2227,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 15.47/10.30 tff(2228,plain,
% 15.47/10.30 (trans(s22, s23)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2227, 2224, 32])).
% 15.47/10.30 tff(2229,plain,
% 15.47/10.30 (((~![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))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2230,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2231,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23)),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 15.47/10.30 tff(2232,plain,
% 15.47/10.30 (node7(s22, s23)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2231, 206, 2228])).
% 15.47/10.30 tff(2233,plain,
% 15.47/10.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2234,plain,
% 15.47/10.30 (((~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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2235,plain,
% 15.47/10.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 15.47/10.30 inference(monotonicity,[status(thm)],[2234])).
% 15.47/10.30 tff(2236,plain,
% 15.47/10.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 15.47/10.30 inference(transitivity,[status(thm)],[2235, 2233])).
% 15.47/10.30 tff(2237,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2238,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 15.47/10.30 tff(2239,plain,
% 15.47/10.30 (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2238, 584, 2232])).
% 15.47/10.30 tff(2240,plain,
% 15.47/10.30 (m_main_v_state1(s23, c_n1)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2239, 2221, 2176, 2213, 2209, 2201, 2184])).
% 15.47/10.30 tff(2241,plain,
% 15.47/10.30 (((~![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)))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2242,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2243,plain,
% 15.47/10.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21))),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 15.47/10.30 tff(2244,plain,
% 15.47/10.30 (~node15(s21)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2243, 103, 2153])).
% 15.47/10.30 tff(2245,plain,
% 15.47/10.30 (((~![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))),
% 15.47/10.30 inference(rewrite,[status(thm)],[])).
% 15.47/10.30 tff(2246,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))),
% 15.47/10.30 inference(quant_inst,[status(thm)],[])).
% 15.47/10.30 tff(2247,plain,
% 15.47/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22)),
% 15.47/10.30 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 15.47/10.30 tff(2248,plain,
% 15.47/10.30 (node18(s21, s22)),
% 15.47/10.30 inference(unit_resolution,[status(thm)],[2247, 125, 2164])).
% 15.47/10.30 tff(2249,plain,
% 15.47/10.30 (((~![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(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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2250,plain,
% 15.47/10.31 (((~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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2251,plain,
% 15.47/10.31 (((~![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(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)))),
% 15.47/10.31 inference(monotonicity,[status(thm)],[2250])).
% 15.47/10.31 tff(2252,plain,
% 15.47/10.31 (((~![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(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))),
% 15.47/10.31 inference(transitivity,[status(thm)],[2251, 2249])).
% 15.47/10.31 tff(2253,plain,
% 15.47/10.31 ((~![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(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2254,plain,
% 15.47/10.31 ((~![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(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)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2253, 2252])).
% 15.47/10.31 tff(2255,plain,
% 15.47/10.31 (node15(s21) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2254, 992, 2248])).
% 15.47/10.31 tff(2256,plain,
% 15.47/10.31 (m_main_v_turn(s22, c_1)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2255, 2244, 2081, 2149])).
% 15.47/10.31 tff(2257,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2258,plain,
% 15.47/10.31 ((~![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)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2259,plain,
% 15.47/10.31 ((~![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))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 15.47/10.31 tff(2260,plain,
% 15.47/10.31 (~m_main_v_turn(s22, c_2)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2259, 156, 2256])).
% 15.47/10.31 tff(2261,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2262,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2263,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 15.47/10.31 tff(2264,plain,
% 15.47/10.31 (~node12(s22)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2263, 184, 2260])).
% 15.47/10.31 tff(2265,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2266,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2267,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 15.47/10.31 tff(2268,plain,
% 15.47/10.31 (~node8(s22)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2267, 271, 2197])).
% 15.47/10.31 tff(2269,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2270,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2271,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2270, 2269])).
% 15.47/10.31 tff(2272,plain,
% 15.47/10.31 (~node9(s22)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2271, 88, 2197])).
% 15.47/10.31 tff(2273,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2274,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2275,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2274, 2273])).
% 15.47/10.31 tff(2276,plain,
% 15.47/10.31 (~node10(s22)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2275, 249, 2197])).
% 15.47/10.31 tff(2277,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2278,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2279,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 15.47/10.31 tff(2280,plain,
% 15.47/10.31 (~node11(s22)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2279, 238, 2217])).
% 15.47/10.31 tff(2281,plain,
% 15.47/10.31 (((~![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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2282,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2283,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 15.47/10.31 tff(2284,plain,
% 15.47/10.31 (node14(s22, s23)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2283, 46, 2228])).
% 15.47/10.31 tff(2285,plain,
% 15.47/10.31 (((~![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(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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2286,plain,
% 15.47/10.31 ((~![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(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2287,plain,
% 15.47/10.31 ((~![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(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2286, 2285])).
% 15.47/10.31 tff(2288,plain,
% 15.47/10.31 (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2287, 296, 2284])).
% 15.47/10.31 tff(2289,plain,
% 15.47/10.31 (node13(s22, s23)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2288, 2280, 2205, 2276, 2272, 2268, 2264])).
% 15.47/10.31 tff(2290,plain,
% 15.47/10.31 (((~![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(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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2291,plain,
% 15.47/10.31 (((~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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2292,plain,
% 15.47/10.31 (((~![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))))),
% 15.47/10.31 inference(monotonicity,[status(thm)],[2291])).
% 15.47/10.31 tff(2293,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(transitivity,[status(thm)],[2292, 2290])).
% 15.47/10.31 tff(2294,plain,
% 15.47/10.31 ((~![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))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2295,plain,
% 15.47/10.31 ((~![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(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2294, 2293])).
% 15.47/10.31 tff(2296,plain,
% 15.47/10.31 (m_main_v_state2(s23, c_t2)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2295, 518, 2193, 2289])).
% 15.47/10.31 tff(2297,plain,
% 15.47/10.31 (succ(s23, s24) <=> succ(s23, s24)),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2298,axiom,(succ(s23, s24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound24')).
% 15.47/10.31 tff(2299,plain,
% 15.47/10.31 (succ(s23, s24)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2298, 2297])).
% 15.47/10.31 tff(2300,plain,
% 15.47/10.31 (((~![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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2301,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2302,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 15.47/10.31 tff(2303,plain,
% 15.47/10.31 (trans(s23, s24)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2302, 2299, 32])).
% 15.47/10.31 tff(2304,plain,
% 15.47/10.31 (((~![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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2305,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2306,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 15.47/10.31 tff(2307,plain,
% 15.47/10.31 (node7(s23, s24)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2306, 206, 2303])).
% 15.47/10.31 tff(2308,plain,
% 15.47/10.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2309,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2310,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 15.47/10.31 tff(2311,plain,
% 15.47/10.31 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_state1(s24, c_t1)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2310, 651, 2307])).
% 15.47/10.31 tff(2312,plain,
% 15.47/10.31 (m_main_v_state1(s24, c_t1)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2311, 2296, 2240])).
% 15.47/10.31 tff(2313,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2314,plain,
% 15.47/10.31 ((~![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)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2315,plain,
% 15.47/10.31 ((~![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))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2314, 2313])).
% 15.47/10.31 tff(2316,plain,
% 15.47/10.31 (~m_main_v_state1(s24, c_n1)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2315, 10, 2312])).
% 15.47/10.31 tff(2317,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2318,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2319,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 15.47/10.31 tff(2320,plain,
% 15.47/10.31 (~node1(s24)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2319, 421, 2316])).
% 15.47/10.31 tff(2321,plain,
% 15.47/10.31 (((~![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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2322,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2323,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 15.47/10.31 tff(2324,plain,
% 15.47/10.31 (node18(s23, s24)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2323, 125, 2303])).
% 15.47/10.31 tff(2325,plain,
% 15.47/10.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2326,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2327,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2326, 2325])).
% 15.47/10.31 tff(2328,plain,
% 15.47/10.31 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_turn(s24, c_2)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2327, 760, 2324])).
% 15.47/10.31 tff(2329,plain,
% 15.47/10.31 (m_main_v_turn(s24, c_2)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2328, 2296, 2240])).
% 15.47/10.31 tff(2330,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2331,plain,
% 15.47/10.31 ((~![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)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2332,plain,
% 15.47/10.31 ((~![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))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2331, 2330])).
% 15.47/10.31 tff(2333,plain,
% 15.47/10.31 (~m_main_v_turn(s24, c_1)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2332, 156, 2329])).
% 15.47/10.31 tff(2334,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2335,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2336,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 15.47/10.31 tff(2337,plain,
% 15.47/10.31 (~node5(s24)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2336, 776, 2333])).
% 15.47/10.31 tff(2338,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2339,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2340,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 15.47/10.31 tff(2341,plain,
% 15.47/10.31 (~node2(s24)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2340, 787, 2316])).
% 15.47/10.31 tff(2342,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2343,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2344,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 15.47/10.31 tff(2345,plain,
% 15.47/10.31 (~node3(s24)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2344, 798, 2316])).
% 15.47/10.31 tff(2346,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2347,plain,
% 15.47/10.31 ((~![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)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2348,plain,
% 15.47/10.31 ((~![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))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2347, 2346])).
% 15.47/10.31 tff(2349,plain,
% 15.47/10.31 (~m_main_v_state1(s24, c_c1)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2348, 539, 2312])).
% 15.47/10.31 tff(2350,plain,
% 15.47/10.31 (((~![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(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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2351,plain,
% 15.47/10.31 (((~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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2352,plain,
% 15.47/10.31 (((~![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))))),
% 15.47/10.31 inference(monotonicity,[status(thm)],[2351])).
% 15.47/10.31 tff(2353,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(transitivity,[status(thm)],[2352, 2350])).
% 15.47/10.31 tff(2354,plain,
% 15.47/10.31 ((~![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)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2355,plain,
% 15.47/10.31 ((~![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(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 15.47/10.31 tff(2356,plain,
% 15.47/10.31 (~m_main_v_state2(s23, c_n2)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2355, 311, 2197, 2289])).
% 15.47/10.31 tff(2357,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2358,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2359,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 15.47/10.31 tff(2360,plain,
% 15.47/10.31 (~node9(s23)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2359, 88, 2356])).
% 15.47/10.31 tff(2361,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2362,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2363,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2362, 2361])).
% 15.47/10.31 tff(2364,plain,
% 15.47/10.31 (~node10(s23)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2363, 249, 2356])).
% 15.47/10.31 tff(2365,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2366,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2367,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 15.47/10.31 tff(2368,plain,
% 15.47/10.31 (~node8(s23)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2367, 271, 2356])).
% 15.47/10.31 tff(2369,plain,
% 15.47/10.31 (((~![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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2370,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2371,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 15.47/10.31 tff(2372,plain,
% 15.47/10.31 (node14(s23, s24)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2371, 46, 2303])).
% 15.47/10.31 tff(2373,plain,
% 15.47/10.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2374,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2375,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 15.47/10.31 tff(2376,plain,
% 15.47/10.31 ((~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)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2375, 617, 2372])).
% 15.47/10.31 tff(2377,plain,
% 15.47/10.31 (m_main_v_state2(s24, c_c2)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2376, 2368, 2240, 2296, 2364, 2360])).
% 15.47/10.31 tff(2378,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2379,plain,
% 15.47/10.31 ((~![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)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2380,plain,
% 15.47/10.31 ((~![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))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2379, 2378])).
% 15.47/10.31 tff(2381,plain,
% 15.47/10.31 (~m_main_v_state2(s24, c_n2)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2380, 697, 2377])).
% 15.47/10.31 tff(2382,plain,
% 15.47/10.31 (((~![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)))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2383,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2384,plain,
% 15.47/10.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24))),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2383, 2382])).
% 15.47/10.31 tff(2385,plain,
% 15.47/10.31 (~node4(s24)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2384, 388, 2381])).
% 15.47/10.31 tff(2386,plain,
% 15.47/10.31 (succ(s24, s25) <=> succ(s24, s25)),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2387,axiom,(succ(s24, s25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound25')).
% 15.47/10.31 tff(2388,plain,
% 15.47/10.31 (succ(s24, s25)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 15.47/10.31 tff(2389,plain,
% 15.47/10.31 (((~![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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2390,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 15.47/10.31 inference(quant_inst,[status(thm)],[])).
% 15.47/10.31 tff(2391,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 15.47/10.31 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 15.47/10.31 tff(2392,plain,
% 15.47/10.31 (trans(s24, s25)),
% 15.47/10.31 inference(unit_resolution,[status(thm)],[2391, 2388, 32])).
% 15.47/10.31 tff(2393,plain,
% 15.47/10.31 (((~![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))),
% 15.47/10.31 inference(rewrite,[status(thm)],[])).
% 15.47/10.31 tff(2394,plain,
% 15.47/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2395,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25)),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2394, 2393])).
% 15.47/10.32 tff(2396,plain,
% 15.47/10.32 (node7(s24, s25)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2395, 206, 2392])).
% 15.47/10.32 tff(2397,plain,
% 15.47/10.32 (((~![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(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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2398,plain,
% 15.47/10.32 ((~![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(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2399,plain,
% 15.47/10.32 ((~![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(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2398, 2397])).
% 15.47/10.32 tff(2400,plain,
% 15.47/10.32 (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2399, 820, 2396])).
% 15.47/10.32 tff(2401,plain,
% 15.47/10.32 (node6(s24, s25)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2400, 2385, 2349, 2345, 2341, 2337, 2320])).
% 15.47/10.32 tff(2402,plain,
% 15.47/10.32 (((~![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(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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2403,plain,
% 15.47/10.32 (((~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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2404,plain,
% 15.47/10.32 (((~![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))))),
% 15.47/10.32 inference(monotonicity,[status(thm)],[2403])).
% 15.47/10.32 tff(2405,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(transitivity,[status(thm)],[2404, 2402])).
% 15.47/10.32 tff(2406,plain,
% 15.47/10.32 ((~![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))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2407,plain,
% 15.47/10.32 ((~![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(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 15.47/10.32 tff(2408,plain,
% 15.47/10.32 (m_main_v_state1(s25, c_t1)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2407, 856, 2312, 2401])).
% 15.47/10.32 tff(2409,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2410,plain,
% 15.47/10.32 ((~![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)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2411,plain,
% 15.47/10.32 ((~![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))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2410, 2409])).
% 15.47/10.32 tff(2412,plain,
% 15.47/10.32 (~m_main_v_state2(s24, c_t2)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2411, 260, 2377])).
% 15.47/10.32 tff(2413,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2414,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2415,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2414, 2413])).
% 15.47/10.32 tff(2416,plain,
% 15.47/10.32 (~node12(s24)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2415, 633, 2412])).
% 15.47/10.32 tff(2417,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2418,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2419,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2418, 2417])).
% 15.47/10.32 tff(2420,plain,
% 15.47/10.32 (~node11(s24)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2419, 238, 2316])).
% 15.47/10.32 tff(2421,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2422,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2423,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 15.47/10.32 tff(2424,plain,
% 15.47/10.32 (~node10(s24)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2423, 675, 2349])).
% 15.47/10.32 tff(2425,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2426,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2427,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 15.47/10.32 tff(2428,plain,
% 15.47/10.32 (~node9(s24)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2427, 686, 2316])).
% 15.47/10.32 tff(2429,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2430,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2431,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 15.47/10.32 tff(2432,plain,
% 15.47/10.32 (~node8(s24)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2431, 271, 2381])).
% 15.47/10.32 tff(2433,plain,
% 15.47/10.32 (((~![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))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2434,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2435,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25)),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 15.47/10.32 tff(2436,plain,
% 15.47/10.32 (node14(s24, s25)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2435, 46, 2392])).
% 15.47/10.32 tff(2437,plain,
% 15.47/10.32 (((~![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(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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2438,plain,
% 15.47/10.32 (((~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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2439,plain,
% 15.47/10.32 (((~![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(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))))),
% 15.47/10.32 inference(monotonicity,[status(thm)],[2438])).
% 15.47/10.32 tff(2440,plain,
% 15.47/10.32 (((~![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(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)))),
% 15.47/10.32 inference(transitivity,[status(thm)],[2439, 2437])).
% 15.47/10.32 tff(2441,plain,
% 15.47/10.32 ((~![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(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2442,plain,
% 15.47/10.32 ((~![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(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2441, 2440])).
% 15.47/10.32 tff(2443,plain,
% 15.47/10.32 (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~m_main_v_state2(s24, c_c2))),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2442, 726, 2436])).
% 15.47/10.32 tff(2444,plain,
% 15.47/10.32 (m_main_v_state2(s25, c_n2)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2443, 2432, 2377, 2428, 2424, 2420, 2416])).
% 15.47/10.32 tff(2445,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2446,plain,
% 15.47/10.32 ((~![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)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2447,plain,
% 15.47/10.32 ((~![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))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2446, 2445])).
% 15.47/10.32 tff(2448,plain,
% 15.47/10.32 (~m_main_v_state2(s25, c_t2)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2447, 77, 2444])).
% 15.47/10.32 tff(2449,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2450,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2451,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 15.47/10.32 tff(2452,plain,
% 15.47/10.32 (~node15(s25)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2451, 103, 2448])).
% 15.47/10.32 tff(2453,plain,
% 15.47/10.32 (succ(s25, s26) <=> succ(s25, s26)),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2454,axiom,(succ(s25, s26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound26')).
% 15.47/10.32 tff(2455,plain,
% 15.47/10.32 (succ(s25, s26)),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 15.47/10.32 tff(2456,plain,
% 15.47/10.32 (((~![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))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2457,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2458,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 15.47/10.32 tff(2459,plain,
% 15.47/10.32 (trans(s25, s26)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2458, 2455, 32])).
% 15.47/10.32 tff(2460,plain,
% 15.47/10.32 (((~![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))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2461,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2462,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26)),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 15.47/10.32 tff(2463,plain,
% 15.47/10.32 (node18(s25, s26)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2462, 125, 2459])).
% 15.47/10.32 tff(2464,plain,
% 15.47/10.32 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2465,plain,
% 15.47/10.32 (((~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))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2466,plain,
% 15.47/10.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 15.47/10.32 inference(monotonicity,[status(thm)],[2465])).
% 15.47/10.32 tff(2467,plain,
% 15.47/10.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 15.47/10.32 inference(transitivity,[status(thm)],[2466, 2464])).
% 15.47/10.32 tff(2468,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2469,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2468, 2467])).
% 15.47/10.32 tff(2470,plain,
% 15.47/10.32 (node15(s25) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2469, 992, 2463])).
% 15.47/10.32 tff(2471,plain,
% 15.47/10.32 (m_main_v_turn(s26, c_1)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2470, 2452, 2444, 2408])).
% 15.47/10.32 tff(2472,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2473,plain,
% 15.47/10.32 ((~![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)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2474,plain,
% 15.47/10.32 ((~![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))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 15.47/10.32 tff(2475,plain,
% 15.47/10.32 (~m_main_v_turn(s26, c_2)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2474, 156, 2471])).
% 15.47/10.32 tff(2476,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2477,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2478,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 15.47/10.32 tff(2479,plain,
% 15.47/10.32 (~node12(s26)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2478, 184, 2475])).
% 15.47/10.32 tff(2480,plain,
% 15.47/10.32 (((~![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))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2481,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2482,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26)),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2481, 2480])).
% 15.47/10.32 tff(2483,plain,
% 15.47/10.32 (node14(s25, s26)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2482, 46, 2459])).
% 15.47/10.32 tff(2484,plain,
% 15.47/10.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2485,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2486,plain,
% 15.47/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2485, 2484])).
% 15.47/10.32 tff(2487,plain,
% 15.47/10.32 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state2(s26, c_t2)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2486, 922, 2483])).
% 15.47/10.32 tff(2488,plain,
% 15.47/10.32 (m_main_v_state2(s26, c_t2)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2487, 2408, 2444])).
% 15.47/10.32 tff(2489,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2490,plain,
% 15.47/10.32 ((~![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)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2491,plain,
% 15.47/10.32 ((~![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))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 15.47/10.32 tff(2492,plain,
% 15.47/10.32 (~m_main_v_state2(s26, c_n2)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2491, 77, 2488])).
% 15.47/10.32 tff(2493,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2494,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2495,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2494, 2493])).
% 15.47/10.32 tff(2496,plain,
% 15.47/10.32 (~node8(s26)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2495, 271, 2492])).
% 15.47/10.32 tff(2497,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2498,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2499,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 15.47/10.32 tff(2500,plain,
% 15.47/10.32 (~node9(s26)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2499, 88, 2492])).
% 15.47/10.32 tff(2501,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2502,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2503,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2502, 2501])).
% 15.47/10.32 tff(2504,plain,
% 15.47/10.32 (~node10(s26)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2503, 249, 2492])).
% 15.47/10.32 tff(2505,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2506,plain,
% 15.47/10.32 ((~![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)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2507,plain,
% 15.47/10.32 ((~![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))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 15.47/10.32 tff(2508,plain,
% 15.47/10.32 (~m_main_v_state2(s26, c_c2)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2507, 260, 2488])).
% 15.47/10.32 tff(2509,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2510,plain,
% 15.47/10.32 ((~![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)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2511,plain,
% 15.47/10.32 ((~![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))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2510, 2509])).
% 15.47/10.32 tff(2512,plain,
% 15.47/10.32 (~m_main_v_state2(s25, c_c2)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2511, 697, 2444])).
% 15.47/10.32 tff(2513,plain,
% 15.47/10.32 (((~![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)))),
% 15.47/10.32 inference(rewrite,[status(thm)],[])).
% 15.47/10.32 tff(2514,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 15.47/10.32 inference(quant_inst,[status(thm)],[])).
% 15.47/10.32 tff(2515,plain,
% 15.47/10.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25))),
% 15.47/10.32 inference(modus_ponens,[status(thm)],[2514, 2513])).
% 15.47/10.32 tff(2516,plain,
% 15.47/10.32 (~node3(s25)),
% 15.47/10.32 inference(unit_resolution,[status(thm)],[2515, 399, 2512])).
% 15.47/10.33 tff(2517,plain,
% 15.47/10.33 (((~![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(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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2518,plain,
% 15.47/10.33 (((~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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2519,plain,
% 15.47/10.33 (((~![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))))),
% 15.47/10.33 inference(monotonicity,[status(thm)],[2518])).
% 15.47/10.33 tff(2520,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(transitivity,[status(thm)],[2519, 2517])).
% 15.47/10.33 tff(2521,plain,
% 15.47/10.33 ((~![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)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2522,plain,
% 15.47/10.33 ((~![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(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 15.47/10.33 tff(2523,plain,
% 15.47/10.33 (~m_main_v_state1(s25, c_n1)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2522, 835, 2316, 2401])).
% 15.47/10.33 tff(2524,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2525,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2526,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 15.47/10.33 tff(2527,plain,
% 15.47/10.33 (~node2(s25)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2526, 787, 2523])).
% 15.47/10.33 tff(2528,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2529,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2530,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 15.47/10.33 tff(2531,plain,
% 15.47/10.33 (~node1(s25)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2530, 195, 2448])).
% 15.47/10.33 tff(2532,plain,
% 15.47/10.33 (((~![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))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2533,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2534,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26)),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 15.47/10.33 tff(2535,plain,
% 15.47/10.33 (node7(s25, s26)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2534, 206, 2459])).
% 15.47/10.33 tff(2536,plain,
% 15.47/10.33 (((~![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(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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2537,plain,
% 15.47/10.33 (((~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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2538,plain,
% 15.47/10.33 (((~![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(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))))),
% 15.47/10.33 inference(monotonicity,[status(thm)],[2537])).
% 15.47/10.33 tff(2539,plain,
% 15.47/10.33 (((~![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(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)))),
% 15.47/10.33 inference(transitivity,[status(thm)],[2538, 2536])).
% 15.47/10.33 tff(2540,plain,
% 15.47/10.33 ((~![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(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))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2541,plain,
% 15.47/10.33 ((~![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(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))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 15.47/10.33 tff(2542,plain,
% 15.47/10.33 ((~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)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2541, 892, 2535])).
% 15.47/10.33 tff(2543,plain,
% 15.47/10.33 (m_main_v_state1(s26, c_c1)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2542, 2531, 2444, 2408, 2527, 2516])).
% 15.47/10.33 tff(2544,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2545,plain,
% 15.47/10.33 ((~![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)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2546,plain,
% 15.47/10.33 ((~![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))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2545, 2544])).
% 15.47/10.33 tff(2547,plain,
% 15.47/10.33 (~m_main_v_state1(s26, c_n1)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2546, 454, 2543])).
% 15.47/10.33 tff(2548,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2549,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2550,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 15.47/10.33 tff(2551,plain,
% 15.47/10.33 (~node11(s26)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2550, 238, 2547])).
% 15.47/10.33 tff(2552,plain,
% 15.47/10.33 (succ(s26, s27) <=> succ(s26, s27)),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2553,axiom,(succ(s26, s27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound27')).
% 15.47/10.33 tff(2554,plain,
% 15.47/10.33 (succ(s26, s27)),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 15.47/10.33 tff(2555,plain,
% 15.47/10.33 (((~![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))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2556,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2557,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 15.47/10.33 tff(2558,plain,
% 15.47/10.33 (trans(s26, s27)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2557, 2554, 32])).
% 15.47/10.33 tff(2559,plain,
% 15.47/10.33 (((~![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))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2560,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2561,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27)),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 15.47/10.33 tff(2562,plain,
% 15.47/10.33 (node14(s26, s27)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2561, 46, 2558])).
% 15.47/10.33 tff(2563,plain,
% 15.47/10.33 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2564,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2565,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 15.47/10.33 tff(2566,plain,
% 15.47/10.33 (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2565, 296, 2562])).
% 15.47/10.33 tff(2567,plain,
% 15.47/10.33 (node13(s26, s27)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2566, 2551, 2508, 2504, 2500, 2496, 2479])).
% 15.47/10.33 tff(2568,plain,
% 15.47/10.33 (((~![V: $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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2569,plain,
% 15.47/10.33 (((~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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2570,plain,
% 15.47/10.33 (((~![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))))),
% 15.47/10.33 inference(monotonicity,[status(thm)],[2569])).
% 15.47/10.33 tff(2571,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(transitivity,[status(thm)],[2570, 2568])).
% 15.47/10.33 tff(2572,plain,
% 15.47/10.33 ((~![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)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2573,plain,
% 15.47/10.33 ((~![V: $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))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 15.47/10.33 tff(2574,plain,
% 15.47/10.33 (~m_main_v_state2(s27, c_n2)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2573, 311, 2492, 2567])).
% 15.47/10.33 tff(2575,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2576,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2577,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 15.47/10.33 tff(2578,plain,
% 15.47/10.33 (~node9(s27)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2577, 88, 2574])).
% 15.47/10.33 tff(2579,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2580,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2581,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 15.47/10.33 tff(2582,plain,
% 15.47/10.33 (~node10(s27)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2581, 249, 2574])).
% 15.47/10.33 tff(2583,plain,
% 15.47/10.33 (((~![V: $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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2584,plain,
% 15.47/10.33 (((~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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2585,plain,
% 15.47/10.33 (((~![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))))),
% 15.47/10.33 inference(monotonicity,[status(thm)],[2584])).
% 15.47/10.33 tff(2586,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(transitivity,[status(thm)],[2585, 2583])).
% 15.47/10.33 tff(2587,plain,
% 15.47/10.33 ((~![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))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2588,plain,
% 15.47/10.33 ((~![V: $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))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2587, 2586])).
% 15.47/10.33 tff(2589,plain,
% 15.47/10.33 (m_main_v_state2(s27, c_t2)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2588, 518, 2488, 2567])).
% 15.47/10.33 tff(2590,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2591,plain,
% 15.47/10.33 ((~![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)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2592,plain,
% 15.47/10.33 ((~![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))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2591, 2590])).
% 15.47/10.33 tff(2593,plain,
% 15.47/10.33 (~m_main_v_state1(s26, c_t1)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2592, 539, 2543])).
% 15.47/10.33 tff(2594,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2595,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2596,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 15.47/10.33 tff(2597,plain,
% 15.47/10.33 (~node5(s26)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2596, 550, 2593])).
% 15.47/10.33 tff(2598,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2599,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2600,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2599, 2598])).
% 15.47/10.33 tff(2601,plain,
% 15.47/10.33 (~node4(s26)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2600, 388, 2492])).
% 15.47/10.33 tff(2602,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2603,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2604,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2603, 2602])).
% 15.47/10.33 tff(2605,plain,
% 15.47/10.33 (~node3(s26)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2604, 399, 2508])).
% 15.47/10.33 tff(2606,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2607,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2608,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 15.47/10.33 tff(2609,plain,
% 15.47/10.33 (~node2(s26)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2608, 410, 2492])).
% 15.47/10.33 tff(2610,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2611,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2612,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2611, 2610])).
% 15.47/10.33 tff(2613,plain,
% 15.47/10.33 (~node1(s26)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2612, 421, 2547])).
% 15.47/10.33 tff(2614,plain,
% 15.47/10.33 (((~![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))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2615,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2616,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27)),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 15.47/10.33 tff(2617,plain,
% 15.47/10.33 (node7(s26, s27)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2616, 206, 2558])).
% 15.47/10.33 tff(2618,plain,
% 15.47/10.33 (((~![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(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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2619,plain,
% 15.47/10.33 (((~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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2620,plain,
% 15.47/10.33 (((~![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(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))))),
% 15.47/10.33 inference(monotonicity,[status(thm)],[2619])).
% 15.47/10.33 tff(2621,plain,
% 15.47/10.33 (((~![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(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)))),
% 15.47/10.33 inference(transitivity,[status(thm)],[2620, 2618])).
% 15.47/10.33 tff(2622,plain,
% 15.47/10.33 ((~![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(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2623,plain,
% 15.47/10.33 ((~![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(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 15.47/10.33 tff(2624,plain,
% 15.47/10.33 (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2623, 584, 2617])).
% 15.47/10.33 tff(2625,plain,
% 15.47/10.33 (m_main_v_state1(s27, c_n1)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2624, 2613, 2543, 2609, 2605, 2601, 2597])).
% 15.47/10.33 tff(2626,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2627,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2628,plain,
% 15.47/10.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2627, 2626])).
% 15.47/10.33 tff(2629,plain,
% 15.47/10.33 (~node8(s27)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2628, 271, 2574])).
% 15.47/10.33 tff(2630,plain,
% 15.47/10.33 (succ(s27, s28) <=> succ(s27, s28)),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2631,axiom,(succ(s27, s28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound28')).
% 15.47/10.33 tff(2632,plain,
% 15.47/10.33 (succ(s27, s28)),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 15.47/10.33 tff(2633,plain,
% 15.47/10.33 (((~![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))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2634,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2635,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2634, 2633])).
% 15.47/10.33 tff(2636,plain,
% 15.47/10.33 (trans(s27, s28)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2635, 2632, 32])).
% 15.47/10.33 tff(2637,plain,
% 15.47/10.33 (((~![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))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2638,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2639,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28)),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 15.47/10.33 tff(2640,plain,
% 15.47/10.33 (node14(s27, s28)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2639, 46, 2636])).
% 15.47/10.33 tff(2641,plain,
% 15.47/10.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2642,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2643,plain,
% 15.47/10.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 15.47/10.33 tff(2644,plain,
% 15.47/10.33 ((~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)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2643, 617, 2640])).
% 15.47/10.33 tff(2645,plain,
% 15.47/10.33 (m_main_v_state2(s28, c_c2)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2644, 2629, 2625, 2589, 2582, 2578])).
% 15.47/10.33 tff(2646,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.33 inference(rewrite,[status(thm)],[])).
% 15.47/10.33 tff(2647,plain,
% 15.47/10.33 ((~![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)))),
% 15.47/10.33 inference(quant_inst,[status(thm)],[])).
% 15.47/10.33 tff(2648,plain,
% 15.47/10.33 ((~![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))),
% 15.47/10.33 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 15.47/10.33 tff(2649,plain,
% 15.47/10.33 (~m_main_v_state2(s28, c_t2)),
% 15.47/10.33 inference(unit_resolution,[status(thm)],[2648, 260, 2645])).
% 15.47/10.33 tff(2650,plain,
% 15.47/10.33 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2651,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2652,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2651, 2650])).
% 15.47/10.34 tff(2653,plain,
% 15.47/10.34 (~node12(s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2652, 633, 2649])).
% 15.47/10.34 tff(2654,plain,
% 15.47/10.34 (((~![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))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2655,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2656,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28)),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 15.47/10.34 tff(2657,plain,
% 15.47/10.34 (node7(s27, s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2656, 206, 2636])).
% 15.47/10.34 tff(2658,plain,
% 15.47/10.34 (((~![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(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))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2659,plain,
% 15.47/10.34 ((~![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(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2660,plain,
% 15.47/10.34 ((~![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(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1)),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 15.47/10.34 tff(2661,plain,
% 15.47/10.34 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_state1(s28, c_t1)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2660, 651, 2657])).
% 15.47/10.34 tff(2662,plain,
% 15.47/10.34 (m_main_v_state1(s28, c_t1)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2661, 2589, 2625])).
% 15.47/10.34 tff(2663,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2664,plain,
% 15.47/10.34 ((~![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)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2665,plain,
% 15.47/10.34 ((~![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))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 15.47/10.34 tff(2666,plain,
% 15.47/10.34 (~m_main_v_state1(s28, c_n1)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2665, 10, 2662])).
% 15.47/10.34 tff(2667,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2668,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2669,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 15.47/10.34 tff(2670,plain,
% 15.47/10.34 (~node11(s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2669, 238, 2666])).
% 15.47/10.34 tff(2671,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2672,plain,
% 15.47/10.34 ((~![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)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2673,plain,
% 15.47/10.34 ((~![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))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 15.47/10.34 tff(2674,plain,
% 15.47/10.34 (~m_main_v_state1(s28, c_c1)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2673, 539, 2662])).
% 15.47/10.34 tff(2675,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2676,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2677,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 15.47/10.34 tff(2678,plain,
% 15.47/10.34 (~node10(s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2677, 675, 2674])).
% 15.47/10.34 tff(2679,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2680,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2681,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 15.47/10.34 tff(2682,plain,
% 15.47/10.34 (~node9(s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2681, 686, 2666])).
% 15.47/10.34 tff(2683,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2684,plain,
% 15.47/10.34 ((~![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)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2685,plain,
% 15.47/10.34 ((~![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))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 15.47/10.34 tff(2686,plain,
% 15.47/10.34 (~m_main_v_state2(s28, c_n2)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2685, 697, 2645])).
% 15.47/10.34 tff(2687,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2688,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2689,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 15.47/10.34 tff(2690,plain,
% 15.47/10.34 (~node8(s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2689, 271, 2686])).
% 15.47/10.34 tff(2691,plain,
% 15.47/10.34 (succ(s28, s29) <=> succ(s28, s29)),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2692,axiom,(succ(s28, s29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound29')).
% 15.47/10.34 tff(2693,plain,
% 15.47/10.34 (succ(s28, s29)),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2692, 2691])).
% 15.47/10.34 tff(2694,plain,
% 15.47/10.34 (((~![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))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2695,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2696,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2695, 2694])).
% 15.47/10.34 tff(2697,plain,
% 15.47/10.34 (trans(s28, s29)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2696, 2693, 32])).
% 15.47/10.34 tff(2698,plain,
% 15.47/10.34 (((~![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))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2699,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2700,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29)),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 15.47/10.34 tff(2701,plain,
% 15.47/10.34 (node14(s28, s29)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2700, 46, 2697])).
% 15.47/10.34 tff(2702,plain,
% 15.47/10.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2703,plain,
% 15.47/10.34 (((~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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2704,plain,
% 15.47/10.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 15.47/10.34 inference(monotonicity,[status(thm)],[2703])).
% 15.47/10.34 tff(2705,plain,
% 15.47/10.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 15.47/10.34 inference(transitivity,[status(thm)],[2704, 2702])).
% 15.47/10.34 tff(2706,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2707,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 15.47/10.34 tff(2708,plain,
% 15.47/10.34 (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~m_main_v_state2(s28, c_c2))),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2707, 726, 2701])).
% 15.47/10.34 tff(2709,plain,
% 15.47/10.34 (m_main_v_state2(s29, c_n2)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2708, 2690, 2645, 2682, 2678, 2670, 2653])).
% 15.47/10.34 tff(2710,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2711,plain,
% 15.47/10.34 ((~![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)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2712,plain,
% 15.47/10.34 ((~![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))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 15.47/10.34 tff(2713,plain,
% 15.47/10.34 (~m_main_v_state2(s29, c_c2)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2712, 697, 2709])).
% 15.47/10.34 tff(2714,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2715,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2716,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 15.47/10.34 tff(2717,plain,
% 15.47/10.34 (~node3(s29)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2716, 399, 2713])).
% 15.47/10.34 tff(2718,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2719,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2720,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2719, 2718])).
% 15.47/10.34 tff(2721,plain,
% 15.47/10.34 (~node1(s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2720, 421, 2666])).
% 15.47/10.34 tff(2722,plain,
% 15.47/10.34 (((~![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))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2723,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2724,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28)),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2723, 2722])).
% 15.47/10.34 tff(2725,plain,
% 15.47/10.34 (node18(s27, s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2724, 125, 2636])).
% 15.47/10.34 tff(2726,plain,
% 15.47/10.34 (((~![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(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))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2727,plain,
% 15.47/10.34 ((~![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(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2728,plain,
% 15.47/10.34 ((~![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(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2)),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2727, 2726])).
% 15.47/10.34 tff(2729,plain,
% 15.47/10.34 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_turn(s28, c_2)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2728, 760, 2725])).
% 15.47/10.34 tff(2730,plain,
% 15.47/10.34 (m_main_v_turn(s28, c_2)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2729, 2589, 2625])).
% 15.47/10.34 tff(2731,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2732,plain,
% 15.47/10.34 ((~![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)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2733,plain,
% 15.47/10.34 ((~![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))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 15.47/10.34 tff(2734,plain,
% 15.47/10.34 (~m_main_v_turn(s28, c_1)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2733, 156, 2730])).
% 15.47/10.34 tff(2735,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2736,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2737,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 15.47/10.34 tff(2738,plain,
% 15.47/10.34 (~node5(s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2737, 776, 2734])).
% 15.47/10.34 tff(2739,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2740,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2741,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 15.47/10.34 tff(2742,plain,
% 15.47/10.34 (~node2(s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2741, 787, 2666])).
% 15.47/10.34 tff(2743,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2744,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2745,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 15.47/10.34 tff(2746,plain,
% 15.47/10.34 (~node3(s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2745, 798, 2666])).
% 15.47/10.34 tff(2747,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2748,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2749,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 15.47/10.34 tff(2750,plain,
% 15.47/10.34 (~node4(s28)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2749, 388, 2686])).
% 15.47/10.34 tff(2751,plain,
% 15.47/10.34 (((~![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))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2752,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2753,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29)),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 15.47/10.34 tff(2754,plain,
% 15.47/10.34 (node7(s28, s29)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2753, 206, 2697])).
% 15.47/10.34 tff(2755,plain,
% 15.47/10.34 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2756,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2757,plain,
% 15.47/10.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 15.47/10.34 tff(2758,plain,
% 15.47/10.34 (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2757, 820, 2754])).
% 15.47/10.34 tff(2759,plain,
% 15.47/10.34 (node6(s28, s29)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2758, 2750, 2674, 2746, 2742, 2738, 2721])).
% 15.47/10.34 tff(2760,plain,
% 15.47/10.34 (((~![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(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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2761,plain,
% 15.47/10.34 (((~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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2762,plain,
% 15.47/10.34 (((~![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))))),
% 15.47/10.34 inference(monotonicity,[status(thm)],[2761])).
% 15.47/10.34 tff(2763,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(transitivity,[status(thm)],[2762, 2760])).
% 15.47/10.34 tff(2764,plain,
% 15.47/10.34 ((~![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)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2765,plain,
% 15.47/10.34 ((~![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(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 15.47/10.34 tff(2766,plain,
% 15.47/10.34 (~m_main_v_state1(s29, c_n1)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2765, 835, 2666, 2759])).
% 15.47/10.34 tff(2767,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2768,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 15.47/10.34 inference(quant_inst,[status(thm)],[])).
% 15.47/10.34 tff(2769,plain,
% 15.47/10.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29))),
% 15.47/10.34 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 15.47/10.34 tff(2770,plain,
% 15.47/10.34 (~node2(s29)),
% 15.47/10.34 inference(unit_resolution,[status(thm)],[2769, 787, 2766])).
% 15.47/10.34 tff(2771,plain,
% 15.47/10.34 (((~![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(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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2772,plain,
% 15.47/10.34 (((~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)))),
% 15.47/10.34 inference(rewrite,[status(thm)],[])).
% 15.47/10.34 tff(2773,plain,
% 15.47/10.34 (((~![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))))),
% 15.47/10.34 inference(monotonicity,[status(thm)],[2772])).
% 15.47/10.34 tff(2774,plain,
% 15.47/10.34 (((~![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)))),
% 15.47/10.34 inference(transitivity,[status(thm)],[2773, 2771])).
% 15.47/10.34 tff(2775,plain,
% 15.47/10.34 ((~![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))),
% 15.47/10.35 inference(quant_inst,[status(thm)],[])).
% 15.47/10.35 tff(2776,plain,
% 15.47/10.35 ((~![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(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))),
% 15.47/10.35 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 15.47/10.35 tff(2777,plain,
% 15.47/10.35 (m_main_v_state1(s29, c_t1)),
% 15.47/10.35 inference(unit_resolution,[status(thm)],[2776, 856, 2662, 2759])).
% 15.47/10.35 tff(2778,plain,
% 15.47/10.35 (((~![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)))),
% 15.47/10.35 inference(rewrite,[status(thm)],[])).
% 15.47/10.35 tff(2779,plain,
% 15.47/10.35 ((~![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)))),
% 15.47/10.35 inference(quant_inst,[status(thm)],[])).
% 15.47/10.35 tff(2780,plain,
% 15.47/10.35 ((~![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))),
% 15.47/10.35 inference(modus_ponens,[status(thm)],[2779, 2778])).
% 15.47/10.35 tff(2781,plain,
% 15.47/10.35 (~m_main_v_state2(s29, c_t2)),
% 15.47/10.35 inference(unit_resolution,[status(thm)],[2780, 77, 2709])).
% 15.47/10.35 tff(2782,plain,
% 15.47/10.35 (((~![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)))),
% 15.47/10.35 inference(rewrite,[status(thm)],[])).
% 15.47/10.35 tff(2783,plain,
% 15.47/10.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 15.47/10.35 inference(quant_inst,[status(thm)],[])).
% 15.47/10.35 tff(2784,plain,
% 15.47/10.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29))),
% 15.47/10.35 inference(modus_ponens,[status(thm)],[2783, 2782])).
% 15.47/10.35 tff(2785,plain,
% 15.47/10.35 (~node1(s29)),
% 15.47/10.35 inference(unit_resolution,[status(thm)],[2784, 195, 2781])).
% 15.47/10.35 tff(2786,plain,
% 15.47/10.35 (succ(s29, s30) <=> succ(s29, s30)),
% 15.47/10.35 inference(rewrite,[status(thm)],[])).
% 15.47/10.35 tff(2787,axiom,(succ(s29, s30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound30')).
% 15.47/10.35 tff(2788,plain,
% 15.47/10.35 (succ(s29, s30)),
% 15.47/10.35 inference(modus_ponens,[status(thm)],[2787, 2786])).
% 15.47/10.35 tff(2789,plain,
% 15.47/10.35 (((~![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))),
% 15.47/10.35 inference(rewrite,[status(thm)],[])).
% 15.47/10.35 tff(2790,plain,
% 15.47/10.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 15.47/10.35 inference(quant_inst,[status(thm)],[])).
% 15.47/10.35 tff(2791,plain,
% 15.47/10.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 15.47/10.35 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 15.47/10.35 tff(2792,plain,
% 15.47/10.35 (trans(s29, s30)),
% 15.47/10.35 inference(unit_resolution,[status(thm)],[2791, 2788, 32])).
% 15.47/10.35 tff(2793,plain,
% 15.47/10.35 (((~![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))),
% 15.47/10.35 inference(rewrite,[status(thm)],[])).
% 15.47/10.35 tff(2794,plain,
% 15.47/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))),
% 15.47/10.35 inference(quant_inst,[status(thm)],[])).
% 15.47/10.35 tff(2795,plain,
% 15.47/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30)),
% 15.47/10.35 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 15.47/10.35 tff(2796,plain,
% 15.47/10.35 (node7(s29, s30)),
% 15.47/10.35 inference(unit_resolution,[status(thm)],[2795, 206, 2792])).
% 15.47/10.35 tff(2797,plain,
% 15.47/10.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 15.47/10.35 inference(rewrite,[status(thm)],[])).
% 15.47/10.35 tff(2798,plain,
% 15.47/10.35 (((~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)))),
% 15.47/10.35 inference(rewrite,[status(thm)],[])).
% 15.47/10.35 tff(2799,plain,
% 15.47/10.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 15.47/10.35 inference(monotonicity,[status(thm)],[2798])).
% 15.47/10.35 tff(2800,plain,
% 15.47/10.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 15.47/10.35 inference(transitivity,[status(thm)],[2799, 2797])).
% 15.47/10.35 tff(2801,plain,
% 15.47/10.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 15.47/10.35 inference(quant_inst,[status(thm)],[])).
% 15.47/10.35 tff(2802,plain,
% 15.47/10.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 15.47/10.35 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 15.47/10.35 tff(2803,plain,
% 15.47/10.35 ((~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)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2802, 892, 2796])).
% 15.55/10.35 tff(2804,plain,
% 15.55/10.35 (m_main_v_state1(s30, c_c1)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2803, 2785, 2709, 2777, 2770, 2717])).
% 15.55/10.35 tff(2805,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2806,plain,
% 15.55/10.35 ((~![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)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2807,plain,
% 15.55/10.35 ((~![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))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 15.55/10.35 tff(2808,plain,
% 15.55/10.35 (~m_main_v_state1(s30, c_t1)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2807, 539, 2804])).
% 15.55/10.35 tff(2809,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2810,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2811,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 15.55/10.35 tff(2812,plain,
% 15.55/10.35 (~node5(s30)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2811, 550, 2808])).
% 15.55/10.35 tff(2813,plain,
% 15.55/10.35 (((~![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))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2814,plain,
% 15.55/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2815,plain,
% 15.55/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30)),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2814, 2813])).
% 15.55/10.35 tff(2816,plain,
% 15.55/10.35 (node14(s29, s30)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2815, 46, 2792])).
% 15.55/10.35 tff(2817,plain,
% 15.55/10.35 (((~![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(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))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2818,plain,
% 15.55/10.35 ((~![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(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2819,plain,
% 15.55/10.35 ((~![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(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2)),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2818, 2817])).
% 15.55/10.35 tff(2820,plain,
% 15.55/10.35 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state2(s30, c_t2)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2819, 922, 2816])).
% 15.55/10.35 tff(2821,plain,
% 15.55/10.35 (m_main_v_state2(s30, c_t2)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2820, 2777, 2709])).
% 15.55/10.35 tff(2822,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2823,plain,
% 15.55/10.35 ((~![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)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2824,plain,
% 15.55/10.35 ((~![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))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2823, 2822])).
% 15.55/10.35 tff(2825,plain,
% 15.55/10.35 (~m_main_v_state2(s30, c_n2)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2824, 77, 2821])).
% 15.55/10.35 tff(2826,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2827,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2828,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2827, 2826])).
% 15.55/10.35 tff(2829,plain,
% 15.55/10.35 (~node4(s30)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2828, 388, 2825])).
% 15.55/10.35 tff(2830,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2831,plain,
% 15.55/10.35 ((~![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)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2832,plain,
% 15.55/10.35 ((~![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))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2831, 2830])).
% 15.55/10.35 tff(2833,plain,
% 15.55/10.35 (~m_main_v_state2(s30, c_c2)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2832, 260, 2821])).
% 15.55/10.35 tff(2834,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2835,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2836,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 15.55/10.35 tff(2837,plain,
% 15.55/10.35 (~node3(s30)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2836, 399, 2833])).
% 15.55/10.35 tff(2838,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2839,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2840,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 15.55/10.35 tff(2841,plain,
% 15.55/10.35 (~node2(s30)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2840, 410, 2825])).
% 15.55/10.35 tff(2842,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2843,plain,
% 15.55/10.35 ((~![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)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2844,plain,
% 15.55/10.35 ((~![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))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 15.55/10.35 tff(2845,plain,
% 15.55/10.35 (~m_main_v_state1(s30, c_n1)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2844, 454, 2804])).
% 15.55/10.35 tff(2846,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2847,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2848,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 15.55/10.35 tff(2849,plain,
% 15.55/10.35 (~node1(s30)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2848, 421, 2845])).
% 15.55/10.35 tff(2850,plain,
% 15.55/10.35 (succ(s30, s31) <=> succ(s30, s31)),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2851,axiom,(succ(s30, s31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound31')).
% 15.55/10.35 tff(2852,plain,
% 15.55/10.35 (succ(s30, s31)),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2851, 2850])).
% 15.55/10.35 tff(2853,plain,
% 15.55/10.35 (((~![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))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2854,plain,
% 15.55/10.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2855,plain,
% 15.55/10.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 15.55/10.35 tff(2856,plain,
% 15.55/10.35 (trans(s30, s31)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2855, 2852, 32])).
% 15.55/10.35 tff(2857,plain,
% 15.55/10.35 (((~![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))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2858,plain,
% 15.55/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2859,plain,
% 15.55/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31)),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2858, 2857])).
% 15.55/10.35 tff(2860,plain,
% 15.55/10.35 (node7(s30, s31)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2859, 206, 2856])).
% 15.55/10.35 tff(2861,plain,
% 15.55/10.35 (((~![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(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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2862,plain,
% 15.55/10.35 (((~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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2863,plain,
% 15.55/10.35 (((~![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(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))))),
% 15.55/10.35 inference(monotonicity,[status(thm)],[2862])).
% 15.55/10.35 tff(2864,plain,
% 15.55/10.35 (((~![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(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)))),
% 15.55/10.35 inference(transitivity,[status(thm)],[2863, 2861])).
% 15.55/10.35 tff(2865,plain,
% 15.55/10.35 ((~![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(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2866,plain,
% 15.55/10.35 ((~![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(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2865, 2864])).
% 15.55/10.35 tff(2867,plain,
% 15.55/10.35 (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2866, 584, 2860])).
% 15.55/10.35 tff(2868,plain,
% 15.55/10.35 (m_main_v_state1(s31, c_n1)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2867, 2849, 2804, 2841, 2837, 2829, 2812])).
% 15.55/10.35 tff(2869,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2870,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2871,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 15.55/10.35 tff(2872,plain,
% 15.55/10.35 (~node15(s29)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2871, 103, 2781])).
% 15.55/10.35 tff(2873,plain,
% 15.55/10.35 (((~![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))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2874,plain,
% 15.55/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2875,plain,
% 15.55/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30)),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 15.55/10.35 tff(2876,plain,
% 15.55/10.35 (node18(s29, s30)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2875, 125, 2792])).
% 15.55/10.35 tff(2877,plain,
% 15.55/10.35 (((~![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(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))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2878,plain,
% 15.55/10.35 (((~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))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2879,plain,
% 15.55/10.35 (((~![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(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)))),
% 15.55/10.35 inference(monotonicity,[status(thm)],[2878])).
% 15.55/10.35 tff(2880,plain,
% 15.55/10.35 (((~![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(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))),
% 15.55/10.35 inference(transitivity,[status(thm)],[2879, 2877])).
% 15.55/10.35 tff(2881,plain,
% 15.55/10.35 ((~![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(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2882,plain,
% 15.55/10.35 ((~![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(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)),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 15.55/10.35 tff(2883,plain,
% 15.55/10.35 (node15(s29) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2882, 992, 2876])).
% 15.55/10.35 tff(2884,plain,
% 15.55/10.35 (m_main_v_turn(s30, c_1)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2883, 2872, 2709, 2777])).
% 15.55/10.35 tff(2885,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2886,plain,
% 15.55/10.35 ((~![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)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2887,plain,
% 15.55/10.35 ((~![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))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 15.55/10.35 tff(2888,plain,
% 15.55/10.35 (~m_main_v_turn(s30, c_2)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2887, 156, 2884])).
% 15.55/10.35 tff(2889,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2890,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2891,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30))),
% 15.55/10.35 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 15.55/10.35 tff(2892,plain,
% 15.55/10.35 (~node12(s30)),
% 15.55/10.35 inference(unit_resolution,[status(thm)],[2891, 184, 2888])).
% 15.55/10.35 tff(2893,plain,
% 15.55/10.35 (((~![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)))),
% 15.55/10.35 inference(rewrite,[status(thm)],[])).
% 15.55/10.35 tff(2894,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 15.55/10.35 inference(quant_inst,[status(thm)],[])).
% 15.55/10.35 tff(2895,plain,
% 15.55/10.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 15.55/10.36 tff(2896,plain,
% 15.55/10.36 (~node8(s30)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2895, 271, 2825])).
% 15.55/10.36 tff(2897,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2898,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2899,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2898, 2897])).
% 15.55/10.36 tff(2900,plain,
% 15.55/10.36 (~node9(s30)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2899, 88, 2825])).
% 15.55/10.36 tff(2901,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2902,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2903,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 15.55/10.36 tff(2904,plain,
% 15.55/10.36 (~node10(s30)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2903, 249, 2825])).
% 15.55/10.36 tff(2905,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2906,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2907,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 15.55/10.36 tff(2908,plain,
% 15.55/10.36 (~node11(s30)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2907, 238, 2845])).
% 15.55/10.36 tff(2909,plain,
% 15.55/10.36 (((~![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))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2910,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2911,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 15.55/10.36 tff(2912,plain,
% 15.55/10.36 (node14(s30, s31)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2911, 46, 2856])).
% 15.55/10.36 tff(2913,plain,
% 15.55/10.36 (((~![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(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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2914,plain,
% 15.55/10.36 ((~![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(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2915,plain,
% 15.55/10.36 ((~![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(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2914, 2913])).
% 15.55/10.36 tff(2916,plain,
% 15.55/10.36 (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2915, 296, 2912])).
% 15.55/10.36 tff(2917,plain,
% 15.55/10.36 (node13(s30, s31)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2916, 2908, 2833, 2904, 2900, 2896, 2892])).
% 15.55/10.36 tff(2918,plain,
% 15.55/10.36 (((~![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(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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2919,plain,
% 15.55/10.36 (((~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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2920,plain,
% 15.55/10.36 (((~![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))))),
% 15.55/10.36 inference(monotonicity,[status(thm)],[2919])).
% 15.55/10.36 tff(2921,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(transitivity,[status(thm)],[2920, 2918])).
% 15.55/10.36 tff(2922,plain,
% 15.55/10.36 ((~![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))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2923,plain,
% 15.55/10.36 ((~![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(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2922, 2921])).
% 15.55/10.36 tff(2924,plain,
% 15.55/10.36 (m_main_v_state2(s31, c_t2)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2923, 518, 2821, 2917])).
% 15.55/10.36 tff(2925,plain,
% 15.55/10.36 (succ(s31, s32) <=> succ(s31, s32)),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2926,axiom,(succ(s31, s32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound32')).
% 15.55/10.36 tff(2927,plain,
% 15.55/10.36 (succ(s31, s32)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 15.55/10.36 tff(2928,plain,
% 15.55/10.36 (((~![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))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2929,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2930,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 15.55/10.36 tff(2931,plain,
% 15.55/10.36 (trans(s31, s32)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2930, 2927, 32])).
% 15.55/10.36 tff(2932,plain,
% 15.55/10.36 (((~![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))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2933,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2934,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2933, 2932])).
% 15.55/10.36 tff(2935,plain,
% 15.55/10.36 (node7(s31, s32)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2934, 206, 2931])).
% 15.55/10.36 tff(2936,plain,
% 15.55/10.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2937,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2938,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 15.55/10.36 tff(2939,plain,
% 15.55/10.36 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_state1(s32, c_t1)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2938, 651, 2935])).
% 15.55/10.36 tff(2940,plain,
% 15.55/10.36 (m_main_v_state1(s32, c_t1)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2939, 2924, 2868])).
% 15.55/10.36 tff(2941,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2942,plain,
% 15.55/10.36 ((~![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)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2943,plain,
% 15.55/10.36 ((~![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))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 15.55/10.36 tff(2944,plain,
% 15.55/10.36 (~m_main_v_state1(s32, c_n1)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2943, 10, 2940])).
% 15.55/10.36 tff(2945,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2946,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2947,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2946, 2945])).
% 15.55/10.36 tff(2948,plain,
% 15.55/10.36 (~node1(s32)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2947, 421, 2944])).
% 15.55/10.36 tff(2949,plain,
% 15.55/10.36 (((~![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))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2950,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2951,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 15.55/10.36 tff(2952,plain,
% 15.55/10.36 (node18(s31, s32)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2951, 125, 2931])).
% 15.55/10.36 tff(2953,plain,
% 15.55/10.36 (((~![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(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))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2954,plain,
% 15.55/10.36 ((~![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(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2955,plain,
% 15.55/10.36 ((~![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(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2954, 2953])).
% 15.55/10.36 tff(2956,plain,
% 15.55/10.36 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_turn(s32, c_2)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2955, 760, 2952])).
% 15.55/10.36 tff(2957,plain,
% 15.55/10.36 (m_main_v_turn(s32, c_2)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2956, 2924, 2868])).
% 15.55/10.36 tff(2958,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2959,plain,
% 15.55/10.36 ((~![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)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2960,plain,
% 15.55/10.36 ((~![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))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 15.55/10.36 tff(2961,plain,
% 15.55/10.36 (~m_main_v_turn(s32, c_1)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2960, 156, 2957])).
% 15.55/10.36 tff(2962,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2963,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2964,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2963, 2962])).
% 15.55/10.36 tff(2965,plain,
% 15.55/10.36 (~node5(s32)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2964, 776, 2961])).
% 15.55/10.36 tff(2966,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2967,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2968,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2967, 2966])).
% 15.55/10.36 tff(2969,plain,
% 15.55/10.36 (~node2(s32)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2968, 787, 2944])).
% 15.55/10.36 tff(2970,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2971,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2972,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2971, 2970])).
% 15.55/10.36 tff(2973,plain,
% 15.55/10.36 (~node3(s32)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2972, 798, 2944])).
% 15.55/10.36 tff(2974,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2975,plain,
% 15.55/10.36 ((~![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)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2976,plain,
% 15.55/10.36 ((~![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))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2975, 2974])).
% 15.55/10.36 tff(2977,plain,
% 15.55/10.36 (~m_main_v_state1(s32, c_c1)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2976, 539, 2940])).
% 15.55/10.36 tff(2978,plain,
% 15.55/10.36 (((~![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(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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2979,plain,
% 15.55/10.36 (((~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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2980,plain,
% 15.55/10.36 (((~![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))))),
% 15.55/10.36 inference(monotonicity,[status(thm)],[2979])).
% 15.55/10.36 tff(2981,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(transitivity,[status(thm)],[2980, 2978])).
% 15.55/10.36 tff(2982,plain,
% 15.55/10.36 ((~![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)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2983,plain,
% 15.55/10.36 ((~![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(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 15.55/10.36 tff(2984,plain,
% 15.55/10.36 (~m_main_v_state2(s31, c_n2)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2983, 311, 2825, 2917])).
% 15.55/10.36 tff(2985,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2986,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2987,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 15.55/10.36 tff(2988,plain,
% 15.55/10.36 (~node9(s31)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2987, 88, 2984])).
% 15.55/10.36 tff(2989,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2990,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2991,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 15.55/10.36 tff(2992,plain,
% 15.55/10.36 (~node10(s31)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2991, 249, 2984])).
% 15.55/10.36 tff(2993,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2994,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2995,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 15.55/10.36 tff(2996,plain,
% 15.55/10.36 (~node8(s31)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2995, 271, 2984])).
% 15.55/10.36 tff(2997,plain,
% 15.55/10.36 (((~![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))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(2998,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(2999,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 15.55/10.36 tff(3000,plain,
% 15.55/10.36 (node14(s31, s32)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[2999, 46, 2931])).
% 15.55/10.36 tff(3001,plain,
% 15.55/10.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(3002,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(3003,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 15.55/10.36 tff(3004,plain,
% 15.55/10.36 ((~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)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[3003, 617, 3000])).
% 15.55/10.36 tff(3005,plain,
% 15.55/10.36 (m_main_v_state2(s32, c_c2)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[3004, 2996, 2868, 2924, 2992, 2988])).
% 15.55/10.36 tff(3006,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(3007,plain,
% 15.55/10.36 ((~![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)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(3008,plain,
% 15.55/10.36 ((~![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))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 15.55/10.36 tff(3009,plain,
% 15.55/10.36 (~m_main_v_state2(s32, c_n2)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[3008, 697, 3005])).
% 15.55/10.36 tff(3010,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(3011,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(3012,plain,
% 15.55/10.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[3011, 3010])).
% 15.55/10.36 tff(3013,plain,
% 15.55/10.36 (~node4(s32)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[3012, 388, 3009])).
% 15.55/10.36 tff(3014,plain,
% 15.55/10.36 (succ(s32, s33) <=> succ(s32, s33)),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(3015,axiom,(succ(s32, s33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound33')).
% 15.55/10.36 tff(3016,plain,
% 15.55/10.36 (succ(s32, s33)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 15.55/10.36 tff(3017,plain,
% 15.55/10.36 (((~![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))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(3018,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(3019,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[3018, 3017])).
% 15.55/10.36 tff(3020,plain,
% 15.55/10.36 (trans(s32, s33)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[3019, 3016, 32])).
% 15.55/10.36 tff(3021,plain,
% 15.55/10.36 (((~![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))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(3022,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(3023,plain,
% 15.55/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33)),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[3022, 3021])).
% 15.55/10.36 tff(3024,plain,
% 15.55/10.36 (node7(s32, s33)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[3023, 206, 3020])).
% 15.55/10.36 tff(3025,plain,
% 15.55/10.36 (((~![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(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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(3026,plain,
% 15.55/10.36 ((~![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(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(3027,plain,
% 15.55/10.36 ((~![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(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[3026, 3025])).
% 15.55/10.36 tff(3028,plain,
% 15.55/10.36 (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[3027, 820, 3024])).
% 15.55/10.36 tff(3029,plain,
% 15.55/10.36 (node6(s32, s33)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[3028, 3013, 2977, 2973, 2969, 2965, 2948])).
% 15.55/10.36 tff(3030,plain,
% 15.55/10.36 (((~![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(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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(3031,plain,
% 15.55/10.36 (((~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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(3032,plain,
% 15.55/10.36 (((~![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))))),
% 15.55/10.36 inference(monotonicity,[status(thm)],[3031])).
% 15.55/10.36 tff(3033,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(transitivity,[status(thm)],[3032, 3030])).
% 15.55/10.36 tff(3034,plain,
% 15.55/10.36 ((~![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))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(3035,plain,
% 15.55/10.36 ((~![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(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[3034, 3033])).
% 15.55/10.36 tff(3036,plain,
% 15.55/10.36 (m_main_v_state1(s33, c_t1)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[3035, 856, 2940, 3029])).
% 15.55/10.36 tff(3037,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.36 inference(rewrite,[status(thm)],[])).
% 15.55/10.36 tff(3038,plain,
% 15.55/10.36 ((~![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)))),
% 15.55/10.36 inference(quant_inst,[status(thm)],[])).
% 15.55/10.36 tff(3039,plain,
% 15.55/10.36 ((~![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))),
% 15.55/10.36 inference(modus_ponens,[status(thm)],[3038, 3037])).
% 15.55/10.36 tff(3040,plain,
% 15.55/10.36 (~m_main_v_state2(s32, c_t2)),
% 15.55/10.36 inference(unit_resolution,[status(thm)],[3039, 260, 3005])).
% 15.55/10.36 tff(3041,plain,
% 15.55/10.36 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3042,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3043,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3042, 3041])).
% 15.55/10.37 tff(3044,plain,
% 15.55/10.37 (~node12(s32)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3043, 633, 3040])).
% 15.55/10.37 tff(3045,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3046,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3047,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 15.55/10.37 tff(3048,plain,
% 15.55/10.37 (~node11(s32)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3047, 238, 2944])).
% 15.55/10.37 tff(3049,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3050,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3051,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 15.55/10.37 tff(3052,plain,
% 15.55/10.37 (~node10(s32)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3051, 675, 2977])).
% 15.55/10.37 tff(3053,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3054,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3055,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 15.55/10.37 tff(3056,plain,
% 15.55/10.37 (~node9(s32)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3055, 686, 2944])).
% 15.55/10.37 tff(3057,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3058,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3059,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 15.55/10.37 tff(3060,plain,
% 15.55/10.37 (~node8(s32)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3059, 271, 3009])).
% 15.55/10.37 tff(3061,plain,
% 15.55/10.37 (((~![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))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3062,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3063,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33)),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 15.55/10.37 tff(3064,plain,
% 15.55/10.37 (node14(s32, s33)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3063, 46, 3020])).
% 15.55/10.37 tff(3065,plain,
% 15.55/10.37 (((~![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(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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3066,plain,
% 15.55/10.37 (((~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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3067,plain,
% 15.55/10.37 (((~![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(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))))),
% 15.55/10.37 inference(monotonicity,[status(thm)],[3066])).
% 15.55/10.37 tff(3068,plain,
% 15.55/10.37 (((~![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(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)))),
% 15.55/10.37 inference(transitivity,[status(thm)],[3067, 3065])).
% 15.55/10.37 tff(3069,plain,
% 15.55/10.37 ((~![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(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3070,plain,
% 15.55/10.37 ((~![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(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3069, 3068])).
% 15.55/10.37 tff(3071,plain,
% 15.55/10.37 (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~m_main_v_state2(s32, c_c2))),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3070, 726, 3064])).
% 15.55/10.37 tff(3072,plain,
% 15.55/10.37 (m_main_v_state2(s33, c_n2)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3071, 3060, 3005, 3056, 3052, 3048, 3044])).
% 15.55/10.37 tff(3073,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3074,plain,
% 15.55/10.37 ((~![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)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3075,plain,
% 15.55/10.37 ((~![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))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 15.55/10.37 tff(3076,plain,
% 15.55/10.37 (~m_main_v_state2(s33, c_t2)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3075, 77, 3072])).
% 15.55/10.37 tff(3077,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3078,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3079,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 15.55/10.37 tff(3080,plain,
% 15.55/10.37 (~node15(s33)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3079, 103, 3076])).
% 15.55/10.37 tff(3081,plain,
% 15.55/10.37 (succ(s33, s34) <=> succ(s33, s34)),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3082,axiom,(succ(s33, s34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound34')).
% 15.55/10.37 tff(3083,plain,
% 15.55/10.37 (succ(s33, s34)),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3082, 3081])).
% 15.55/10.37 tff(3084,plain,
% 15.55/10.37 (((~![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))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3085,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3086,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 15.55/10.37 tff(3087,plain,
% 15.55/10.37 (trans(s33, s34)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3086, 3083, 32])).
% 15.55/10.37 tff(3088,plain,
% 15.55/10.37 (((~![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))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3089,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3090,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34)),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 15.55/10.37 tff(3091,plain,
% 15.55/10.37 (node18(s33, s34)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3090, 125, 3087])).
% 15.55/10.37 tff(3092,plain,
% 15.55/10.37 (((~![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(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))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3093,plain,
% 15.55/10.37 (((~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))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3094,plain,
% 15.55/10.37 (((~![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(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)))),
% 15.55/10.37 inference(monotonicity,[status(thm)],[3093])).
% 15.55/10.37 tff(3095,plain,
% 15.55/10.37 (((~![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(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))),
% 15.55/10.37 inference(transitivity,[status(thm)],[3094, 3092])).
% 15.55/10.37 tff(3096,plain,
% 15.55/10.37 ((~![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(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3097,plain,
% 15.55/10.37 ((~![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(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)),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3096, 3095])).
% 15.55/10.37 tff(3098,plain,
% 15.55/10.37 (node15(s33) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3097, 992, 3091])).
% 15.55/10.37 tff(3099,plain,
% 15.55/10.37 (m_main_v_turn(s34, c_1)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3098, 3080, 3072, 3036])).
% 15.55/10.37 tff(3100,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3101,plain,
% 15.55/10.37 ((~![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)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3102,plain,
% 15.55/10.37 ((~![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))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 15.55/10.37 tff(3103,plain,
% 15.55/10.37 (~m_main_v_turn(s34, c_2)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3102, 156, 3099])).
% 15.55/10.37 tff(3104,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3105,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3106,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 15.55/10.37 tff(3107,plain,
% 15.55/10.37 (~node12(s34)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3106, 184, 3103])).
% 15.55/10.37 tff(3108,plain,
% 15.55/10.37 (((~![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))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3109,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3110,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34)),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 15.55/10.37 tff(3111,plain,
% 15.55/10.37 (node14(s33, s34)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3110, 46, 3087])).
% 15.55/10.37 tff(3112,plain,
% 15.55/10.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3113,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3114,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3113, 3112])).
% 15.55/10.37 tff(3115,plain,
% 15.55/10.37 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state2(s34, c_t2)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3114, 922, 3111])).
% 15.55/10.37 tff(3116,plain,
% 15.55/10.37 (m_main_v_state2(s34, c_t2)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3115, 3036, 3072])).
% 15.55/10.37 tff(3117,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3118,plain,
% 15.55/10.37 ((~![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)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3119,plain,
% 15.55/10.37 ((~![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))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3118, 3117])).
% 15.55/10.37 tff(3120,plain,
% 15.55/10.37 (~m_main_v_state2(s34, c_n2)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3119, 77, 3116])).
% 15.55/10.37 tff(3121,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3122,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3123,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3122, 3121])).
% 15.55/10.37 tff(3124,plain,
% 15.55/10.37 (~node8(s34)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3123, 271, 3120])).
% 15.55/10.37 tff(3125,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3126,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3127,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3126, 3125])).
% 15.55/10.37 tff(3128,plain,
% 15.55/10.37 (~node9(s34)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3127, 88, 3120])).
% 15.55/10.37 tff(3129,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3130,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3131,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 15.55/10.37 tff(3132,plain,
% 15.55/10.37 (~node10(s34)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3131, 249, 3120])).
% 15.55/10.37 tff(3133,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3134,plain,
% 15.55/10.37 ((~![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)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3135,plain,
% 15.55/10.37 ((~![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))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 15.55/10.37 tff(3136,plain,
% 15.55/10.37 (~m_main_v_state2(s34, c_c2)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3135, 260, 3116])).
% 15.55/10.37 tff(3137,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3138,plain,
% 15.55/10.37 ((~![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)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3139,plain,
% 15.55/10.37 ((~![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))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3138, 3137])).
% 15.55/10.37 tff(3140,plain,
% 15.55/10.37 (~m_main_v_state2(s33, c_c2)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3139, 697, 3072])).
% 15.55/10.37 tff(3141,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3142,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3143,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 15.55/10.37 tff(3144,plain,
% 15.55/10.37 (~node3(s33)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3143, 399, 3140])).
% 15.55/10.37 tff(3145,plain,
% 15.55/10.37 (((~![V: $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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3146,plain,
% 15.55/10.37 (((~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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3147,plain,
% 15.55/10.37 (((~![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))))),
% 15.55/10.37 inference(monotonicity,[status(thm)],[3146])).
% 15.55/10.37 tff(3148,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(transitivity,[status(thm)],[3147, 3145])).
% 15.55/10.37 tff(3149,plain,
% 15.55/10.37 ((~![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)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3150,plain,
% 15.55/10.37 ((~![V: $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))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 15.55/10.37 tff(3151,plain,
% 15.55/10.37 (~m_main_v_state1(s33, c_n1)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3150, 835, 2944, 3029])).
% 15.55/10.37 tff(3152,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3153,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3154,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 15.55/10.37 tff(3155,plain,
% 15.55/10.37 (~node2(s33)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3154, 787, 3151])).
% 15.55/10.37 tff(3156,plain,
% 15.55/10.37 (((~![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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3157,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3158,plain,
% 15.55/10.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33))),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 15.55/10.37 tff(3159,plain,
% 15.55/10.37 (~node1(s33)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3158, 195, 3076])).
% 15.55/10.37 tff(3160,plain,
% 15.55/10.37 (((~![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))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3161,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))),
% 15.55/10.37 inference(quant_inst,[status(thm)],[])).
% 15.55/10.37 tff(3162,plain,
% 15.55/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34)),
% 15.55/10.37 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 15.55/10.37 tff(3163,plain,
% 15.55/10.37 (node7(s33, s34)),
% 15.55/10.37 inference(unit_resolution,[status(thm)],[3162, 206, 3087])).
% 15.55/10.37 tff(3164,plain,
% 15.55/10.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 15.55/10.37 inference(rewrite,[status(thm)],[])).
% 15.55/10.37 tff(3165,plain,
% 15.55/10.37 (((~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)))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3166,plain,
% 15.55/10.38 (((~![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(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))))),
% 15.55/10.38 inference(monotonicity,[status(thm)],[3165])).
% 15.55/10.38 tff(3167,plain,
% 15.55/10.38 (((~![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(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)))),
% 15.55/10.38 inference(transitivity,[status(thm)],[3166, 3164])).
% 15.55/10.38 tff(3168,plain,
% 15.55/10.38 ((~![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(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))),
% 15.55/10.38 inference(quant_inst,[status(thm)],[])).
% 15.55/10.38 tff(3169,plain,
% 15.55/10.38 ((~![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(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))),
% 15.55/10.38 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 15.55/10.38 tff(3170,plain,
% 15.55/10.38 ((~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)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3169, 892, 3163])).
% 15.55/10.38 tff(3171,plain,
% 15.55/10.38 (m_main_v_state1(s34, c_c1)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3170, 3159, 3072, 3036, 3155, 3144])).
% 15.55/10.38 tff(3172,plain,
% 15.55/10.38 (((~![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)))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3173,plain,
% 15.55/10.38 ((~![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)))),
% 15.55/10.38 inference(quant_inst,[status(thm)],[])).
% 15.55/10.38 tff(3174,plain,
% 15.55/10.38 ((~![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))),
% 15.55/10.38 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 15.55/10.38 tff(3175,plain,
% 15.55/10.38 (~m_main_v_state1(s34, c_n1)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3174, 454, 3171])).
% 15.55/10.38 tff(3176,plain,
% 15.55/10.38 (((~![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)))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3177,plain,
% 15.55/10.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 15.55/10.38 inference(quant_inst,[status(thm)],[])).
% 15.55/10.38 tff(3178,plain,
% 15.55/10.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34))),
% 15.55/10.38 inference(modus_ponens,[status(thm)],[3177, 3176])).
% 15.55/10.38 tff(3179,plain,
% 15.55/10.38 (~node11(s34)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3178, 238, 3175])).
% 15.55/10.38 tff(3180,plain,
% 15.55/10.38 (succ(s34, s35) <=> succ(s34, s35)),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3181,axiom,(succ(s34, s35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound35')).
% 15.55/10.38 tff(3182,plain,
% 15.55/10.38 (succ(s34, s35)),
% 15.55/10.38 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 15.55/10.38 tff(3183,plain,
% 15.55/10.38 (((~![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))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3184,plain,
% 15.55/10.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 15.55/10.38 inference(quant_inst,[status(thm)],[])).
% 15.55/10.38 tff(3185,plain,
% 15.55/10.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 15.55/10.38 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 15.55/10.38 tff(3186,plain,
% 15.55/10.38 (trans(s34, s35)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3185, 3182, 32])).
% 15.55/10.38 tff(3187,plain,
% 15.55/10.38 (((~![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))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3188,plain,
% 15.55/10.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))),
% 15.55/10.38 inference(quant_inst,[status(thm)],[])).
% 15.55/10.38 tff(3189,plain,
% 15.55/10.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35)),
% 15.55/10.38 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 15.55/10.38 tff(3190,plain,
% 15.55/10.38 (node14(s34, s35)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3189, 46, 3186])).
% 15.55/10.38 tff(3191,plain,
% 15.55/10.38 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3192,plain,
% 15.55/10.38 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.55/10.38 inference(quant_inst,[status(thm)],[])).
% 15.55/10.38 tff(3193,plain,
% 15.55/10.38 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 15.55/10.38 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 15.55/10.38 tff(3194,plain,
% 15.55/10.38 (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3193, 296, 3190])).
% 15.55/10.38 tff(3195,plain,
% 15.55/10.38 (node13(s34, s35)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3194, 3179, 3136, 3132, 3128, 3124, 3107])).
% 15.55/10.38 tff(3196,plain,
% 15.55/10.38 (((~![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(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)))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3197,plain,
% 15.55/10.38 (((~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)))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3198,plain,
% 15.55/10.38 (((~![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))))),
% 15.55/10.38 inference(monotonicity,[status(thm)],[3197])).
% 15.55/10.38 tff(3199,plain,
% 15.55/10.38 (((~![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)))),
% 15.55/10.38 inference(transitivity,[status(thm)],[3198, 3196])).
% 15.55/10.38 tff(3200,plain,
% 15.55/10.38 ((~![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)))),
% 15.55/10.38 inference(quant_inst,[status(thm)],[])).
% 15.55/10.38 tff(3201,plain,
% 15.55/10.38 ((~![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(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))),
% 15.55/10.38 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 15.55/10.38 tff(3202,plain,
% 15.55/10.38 (~m_main_v_state2(s35, c_n2)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3201, 311, 3120, 3195])).
% 15.55/10.38 tff(3203,plain,
% 15.55/10.38 (((~![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)))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3204,plain,
% 15.55/10.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 15.55/10.38 inference(quant_inst,[status(thm)],[])).
% 15.55/10.38 tff(3205,plain,
% 15.55/10.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35))),
% 15.55/10.38 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 15.55/10.38 tff(3206,plain,
% 15.55/10.38 (~node9(s35)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3205, 88, 3202])).
% 15.55/10.38 tff(3207,plain,
% 15.55/10.38 (((~![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)))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3208,plain,
% 15.55/10.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 15.55/10.38 inference(quant_inst,[status(thm)],[])).
% 15.55/10.38 tff(3209,plain,
% 15.55/10.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35))),
% 15.55/10.38 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 15.55/10.38 tff(3210,plain,
% 15.55/10.38 (~node10(s35)),
% 15.55/10.38 inference(unit_resolution,[status(thm)],[3209, 249, 3202])).
% 15.55/10.38 tff(3211,plain,
% 15.55/10.38 (((~![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(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)))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3212,plain,
% 15.55/10.38 (((~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)))),
% 15.55/10.38 inference(rewrite,[status(thm)],[])).
% 15.55/10.38 tff(3213,plain,
% 15.55/10.38 (((~![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))))),
% 15.58/10.38 inference(monotonicity,[status(thm)],[3212])).
% 15.58/10.38 tff(3214,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(transitivity,[status(thm)],[3213, 3211])).
% 15.58/10.38 tff(3215,plain,
% 15.58/10.38 ((~![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))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3216,plain,
% 15.58/10.38 ((~![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(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3215, 3214])).
% 15.58/10.38 tff(3217,plain,
% 15.58/10.38 (m_main_v_state2(s35, c_t2)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3216, 518, 3116, 3195])).
% 15.58/10.38 tff(3218,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3219,plain,
% 15.58/10.38 ((~![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)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3220,plain,
% 15.58/10.38 ((~![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))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3219, 3218])).
% 15.58/10.38 tff(3221,plain,
% 15.58/10.38 (~m_main_v_state1(s34, c_t1)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3220, 539, 3171])).
% 15.58/10.38 tff(3222,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3223,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3224,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 15.58/10.38 tff(3225,plain,
% 15.58/10.38 (~node5(s34)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3224, 550, 3221])).
% 15.58/10.38 tff(3226,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3227,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3228,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 15.58/10.38 tff(3229,plain,
% 15.58/10.38 (~node4(s34)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3228, 388, 3120])).
% 15.58/10.38 tff(3230,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3231,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3232,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 15.58/10.38 tff(3233,plain,
% 15.58/10.38 (~node3(s34)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3232, 399, 3136])).
% 15.58/10.38 tff(3234,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3235,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3236,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 15.58/10.38 tff(3237,plain,
% 15.58/10.38 (~node2(s34)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3236, 410, 3120])).
% 15.58/10.38 tff(3238,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3239,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3240,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3239, 3238])).
% 15.58/10.38 tff(3241,plain,
% 15.58/10.38 (~node1(s34)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3240, 421, 3175])).
% 15.58/10.38 tff(3242,plain,
% 15.58/10.38 (((~![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))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3243,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3244,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35)),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 15.58/10.38 tff(3245,plain,
% 15.58/10.38 (node7(s34, s35)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3244, 206, 3186])).
% 15.58/10.38 tff(3246,plain,
% 15.58/10.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3247,plain,
% 15.58/10.38 (((~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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3248,plain,
% 15.58/10.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 15.58/10.38 inference(monotonicity,[status(thm)],[3247])).
% 15.58/10.38 tff(3249,plain,
% 15.58/10.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 15.58/10.38 inference(transitivity,[status(thm)],[3248, 3246])).
% 15.58/10.38 tff(3250,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3251,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3250, 3249])).
% 15.58/10.38 tff(3252,plain,
% 15.58/10.38 (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3251, 584, 3245])).
% 15.58/10.38 tff(3253,plain,
% 15.58/10.38 (m_main_v_state1(s35, c_n1)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3252, 3241, 3171, 3237, 3233, 3229, 3225])).
% 15.58/10.38 tff(3254,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3255,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3256,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 15.58/10.38 tff(3257,plain,
% 15.58/10.38 (~node8(s35)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3256, 271, 3202])).
% 15.58/10.38 tff(3258,plain,
% 15.58/10.38 (succ(s35, s36) <=> succ(s35, s36)),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3259,axiom,(succ(s35, s36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound36')).
% 15.58/10.38 tff(3260,plain,
% 15.58/10.38 (succ(s35, s36)),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3259, 3258])).
% 15.58/10.38 tff(3261,plain,
% 15.58/10.38 (((~![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))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3262,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3263,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 15.58/10.38 tff(3264,plain,
% 15.58/10.38 (trans(s35, s36)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3263, 3260, 32])).
% 15.58/10.38 tff(3265,plain,
% 15.58/10.38 (((~![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))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3266,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3267,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36)),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3266, 3265])).
% 15.58/10.38 tff(3268,plain,
% 15.58/10.38 (node14(s35, s36)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3267, 46, 3264])).
% 15.58/10.38 tff(3269,plain,
% 15.58/10.38 (((~![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(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))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3270,plain,
% 15.58/10.38 ((~![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(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))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3271,plain,
% 15.58/10.38 ((~![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(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)),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 15.58/10.38 tff(3272,plain,
% 15.58/10.38 ((~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)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3271, 617, 3268])).
% 15.58/10.38 tff(3273,plain,
% 15.58/10.38 (m_main_v_state2(s36, c_c2)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3272, 3257, 3253, 3217, 3210, 3206])).
% 15.58/10.38 tff(3274,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3275,plain,
% 15.58/10.38 ((~![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)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3276,plain,
% 15.58/10.38 ((~![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))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3275, 3274])).
% 15.58/10.38 tff(3277,plain,
% 15.58/10.38 (~m_main_v_state2(s36, c_t2)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3276, 260, 3273])).
% 15.58/10.38 tff(3278,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3279,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3280,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3279, 3278])).
% 15.58/10.38 tff(3281,plain,
% 15.58/10.38 (~node12(s36)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3280, 633, 3277])).
% 15.58/10.38 tff(3282,plain,
% 15.58/10.38 (((~![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))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3283,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3284,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36)),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 15.58/10.38 tff(3285,plain,
% 15.58/10.38 (node7(s35, s36)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3284, 206, 3264])).
% 15.58/10.38 tff(3286,plain,
% 15.58/10.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3287,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3288,plain,
% 15.58/10.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3287, 3286])).
% 15.58/10.38 tff(3289,plain,
% 15.58/10.38 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_state1(s36, c_t1)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3288, 651, 3285])).
% 15.58/10.38 tff(3290,plain,
% 15.58/10.38 (m_main_v_state1(s36, c_t1)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3289, 3217, 3253])).
% 15.58/10.38 tff(3291,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3292,plain,
% 15.58/10.38 ((~![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)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3293,plain,
% 15.58/10.38 ((~![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))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3292, 3291])).
% 15.58/10.38 tff(3294,plain,
% 15.58/10.38 (~m_main_v_state1(s36, c_n1)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3293, 10, 3290])).
% 15.58/10.38 tff(3295,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3296,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3297,plain,
% 15.58/10.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 15.58/10.38 tff(3298,plain,
% 15.58/10.38 (~node11(s36)),
% 15.58/10.38 inference(unit_resolution,[status(thm)],[3297, 238, 3294])).
% 15.58/10.38 tff(3299,plain,
% 15.58/10.38 (((~![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)))),
% 15.58/10.38 inference(rewrite,[status(thm)],[])).
% 15.58/10.38 tff(3300,plain,
% 15.58/10.38 ((~![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)))),
% 15.58/10.38 inference(quant_inst,[status(thm)],[])).
% 15.58/10.38 tff(3301,plain,
% 15.58/10.38 ((~![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))),
% 15.58/10.38 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 15.58/10.39 tff(3302,plain,
% 15.58/10.39 (~m_main_v_state1(s36, c_c1)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3301, 539, 3290])).
% 15.58/10.39 tff(3303,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3304,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3305,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 15.58/10.39 tff(3306,plain,
% 15.58/10.39 (~node10(s36)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3305, 675, 3302])).
% 15.58/10.39 tff(3307,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3308,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3309,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 15.58/10.39 tff(3310,plain,
% 15.58/10.39 (~node9(s36)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3309, 686, 3294])).
% 15.58/10.39 tff(3311,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3312,plain,
% 15.58/10.39 ((~![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)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3313,plain,
% 15.58/10.39 ((~![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))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 15.58/10.39 tff(3314,plain,
% 15.58/10.39 (~m_main_v_state2(s36, c_n2)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3313, 697, 3273])).
% 15.58/10.39 tff(3315,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3316,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3317,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 15.58/10.39 tff(3318,plain,
% 15.58/10.39 (~node8(s36)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3317, 271, 3314])).
% 15.58/10.39 tff(3319,plain,
% 15.58/10.39 (succ(s36, s37) <=> succ(s36, s37)),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3320,axiom,(succ(s36, s37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound37')).
% 15.58/10.39 tff(3321,plain,
% 15.58/10.39 (succ(s36, s37)),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 15.58/10.39 tff(3322,plain,
% 15.58/10.39 (((~![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))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3323,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3324,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 15.58/10.39 tff(3325,plain,
% 15.58/10.39 (trans(s36, s37)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3324, 3321, 32])).
% 15.58/10.39 tff(3326,plain,
% 15.58/10.39 (((~![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))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3327,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3328,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37)),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3327, 3326])).
% 15.58/10.39 tff(3329,plain,
% 15.58/10.39 (node14(s36, s37)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3328, 46, 3325])).
% 15.58/10.39 tff(3330,plain,
% 15.58/10.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3331,plain,
% 15.58/10.39 (((~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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3332,plain,
% 15.58/10.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 15.58/10.39 inference(monotonicity,[status(thm)],[3331])).
% 15.58/10.39 tff(3333,plain,
% 15.58/10.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 15.58/10.39 inference(transitivity,[status(thm)],[3332, 3330])).
% 15.58/10.39 tff(3334,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3335,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3334, 3333])).
% 15.58/10.39 tff(3336,plain,
% 15.58/10.39 (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~m_main_v_state2(s36, c_c2))),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3335, 726, 3329])).
% 15.58/10.39 tff(3337,plain,
% 15.58/10.39 (m_main_v_state2(s37, c_n2)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3336, 3318, 3273, 3310, 3306, 3298, 3281])).
% 15.58/10.39 tff(3338,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3339,plain,
% 15.58/10.39 ((~![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)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3340,plain,
% 15.58/10.39 ((~![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))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3339, 3338])).
% 15.58/10.39 tff(3341,plain,
% 15.58/10.39 (~m_main_v_state2(s37, c_c2)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3340, 697, 3337])).
% 15.58/10.39 tff(3342,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3343,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3344,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3343, 3342])).
% 15.58/10.39 tff(3345,plain,
% 15.58/10.39 (~node3(s37)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3344, 399, 3341])).
% 15.58/10.39 tff(3346,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3347,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3348,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3347, 3346])).
% 15.58/10.39 tff(3349,plain,
% 15.58/10.39 (~node1(s36)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3348, 421, 3294])).
% 15.58/10.39 tff(3350,plain,
% 15.58/10.39 (((~![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))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3351,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3352,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36)),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3351, 3350])).
% 15.58/10.39 tff(3353,plain,
% 15.58/10.39 (node18(s35, s36)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3352, 125, 3264])).
% 15.58/10.39 tff(3354,plain,
% 15.58/10.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3355,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3356,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2)),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3355, 3354])).
% 15.58/10.39 tff(3357,plain,
% 15.58/10.39 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_turn(s36, c_2)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3356, 760, 3353])).
% 15.58/10.39 tff(3358,plain,
% 15.58/10.39 (m_main_v_turn(s36, c_2)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3357, 3217, 3253])).
% 15.58/10.39 tff(3359,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3360,plain,
% 15.58/10.39 ((~![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)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3361,plain,
% 15.58/10.39 ((~![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))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 15.58/10.39 tff(3362,plain,
% 15.58/10.39 (~m_main_v_turn(s36, c_1)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3361, 156, 3358])).
% 15.58/10.39 tff(3363,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3364,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3365,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 15.58/10.39 tff(3366,plain,
% 15.58/10.39 (~node5(s36)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3365, 776, 3362])).
% 15.58/10.39 tff(3367,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3368,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3369,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 15.58/10.39 tff(3370,plain,
% 15.58/10.39 (~node2(s36)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3369, 787, 3294])).
% 15.58/10.39 tff(3371,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3372,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3373,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 15.58/10.39 tff(3374,plain,
% 15.58/10.39 (~node3(s36)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3373, 798, 3294])).
% 15.58/10.39 tff(3375,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3376,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3377,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 15.58/10.39 tff(3378,plain,
% 15.58/10.39 (~node4(s36)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3377, 388, 3314])).
% 15.58/10.39 tff(3379,plain,
% 15.58/10.39 (((~![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))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3380,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3381,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37)),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3380, 3379])).
% 15.58/10.39 tff(3382,plain,
% 15.58/10.39 (node7(s36, s37)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3381, 206, 3325])).
% 15.58/10.39 tff(3383,plain,
% 15.58/10.39 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3384,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3385,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3384, 3383])).
% 15.58/10.39 tff(3386,plain,
% 15.58/10.39 (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3385, 820, 3382])).
% 15.58/10.39 tff(3387,plain,
% 15.58/10.39 (node6(s36, s37)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3386, 3378, 3302, 3374, 3370, 3366, 3349])).
% 15.58/10.39 tff(3388,plain,
% 15.58/10.39 (((~![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(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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3389,plain,
% 15.58/10.39 (((~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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3390,plain,
% 15.58/10.39 (((~![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))))),
% 15.58/10.39 inference(monotonicity,[status(thm)],[3389])).
% 15.58/10.39 tff(3391,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(transitivity,[status(thm)],[3390, 3388])).
% 15.58/10.39 tff(3392,plain,
% 15.58/10.39 ((~![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)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3393,plain,
% 15.58/10.39 ((~![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(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 15.58/10.39 tff(3394,plain,
% 15.58/10.39 (~m_main_v_state1(s37, c_n1)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3393, 835, 3294, 3387])).
% 15.58/10.39 tff(3395,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3396,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3397,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 15.58/10.39 tff(3398,plain,
% 15.58/10.39 (~node2(s37)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3397, 787, 3394])).
% 15.58/10.39 tff(3399,plain,
% 15.58/10.39 (((~![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(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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3400,plain,
% 15.58/10.39 (((~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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3401,plain,
% 15.58/10.39 (((~![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))))),
% 15.58/10.39 inference(monotonicity,[status(thm)],[3400])).
% 15.58/10.39 tff(3402,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(transitivity,[status(thm)],[3401, 3399])).
% 15.58/10.39 tff(3403,plain,
% 15.58/10.39 ((~![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))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3404,plain,
% 15.58/10.39 ((~![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(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 15.58/10.39 tff(3405,plain,
% 15.58/10.39 (m_main_v_state1(s37, c_t1)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3404, 856, 3290, 3387])).
% 15.58/10.39 tff(3406,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3407,plain,
% 15.58/10.39 ((~![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)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3408,plain,
% 15.58/10.39 ((~![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))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3407, 3406])).
% 15.58/10.39 tff(3409,plain,
% 15.58/10.39 (~m_main_v_state2(s37, c_t2)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3408, 77, 3337])).
% 15.58/10.39 tff(3410,plain,
% 15.58/10.39 (((~![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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3411,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3412,plain,
% 15.58/10.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37))),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 15.58/10.39 tff(3413,plain,
% 15.58/10.39 (~node1(s37)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3412, 195, 3409])).
% 15.58/10.39 tff(3414,plain,
% 15.58/10.39 (succ(s37, s38) <=> succ(s37, s38)),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3415,axiom,(succ(s37, s38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound38')).
% 15.58/10.39 tff(3416,plain,
% 15.58/10.39 (succ(s37, s38)),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 15.58/10.39 tff(3417,plain,
% 15.58/10.39 (((~![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))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3418,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3419,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3418, 3417])).
% 15.58/10.39 tff(3420,plain,
% 15.58/10.39 (trans(s37, s38)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3419, 3416, 32])).
% 15.58/10.39 tff(3421,plain,
% 15.58/10.39 (((~![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))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3422,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))),
% 15.58/10.39 inference(quant_inst,[status(thm)],[])).
% 15.58/10.39 tff(3423,plain,
% 15.58/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38)),
% 15.58/10.39 inference(modus_ponens,[status(thm)],[3422, 3421])).
% 15.58/10.39 tff(3424,plain,
% 15.58/10.39 (node7(s37, s38)),
% 15.58/10.39 inference(unit_resolution,[status(thm)],[3423, 206, 3420])).
% 15.58/10.39 tff(3425,plain,
% 15.58/10.39 (((~![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(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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3426,plain,
% 15.58/10.39 (((~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)))),
% 15.58/10.39 inference(rewrite,[status(thm)],[])).
% 15.58/10.39 tff(3427,plain,
% 15.58/10.39 (((~![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(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))))),
% 15.58/10.40 inference(monotonicity,[status(thm)],[3426])).
% 15.58/10.40 tff(3428,plain,
% 15.58/10.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 15.58/10.40 inference(transitivity,[status(thm)],[3427, 3425])).
% 15.58/10.40 tff(3429,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3430,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 15.58/10.40 tff(3431,plain,
% 15.58/10.40 ((~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)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3430, 892, 3424])).
% 15.58/10.40 tff(3432,plain,
% 15.58/10.40 (m_main_v_state1(s38, c_c1)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3431, 3413, 3337, 3405, 3398, 3345])).
% 15.58/10.40 tff(3433,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3434,plain,
% 15.58/10.40 ((~![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)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3435,plain,
% 15.58/10.40 ((~![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))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 15.58/10.40 tff(3436,plain,
% 15.58/10.40 (~m_main_v_state1(s38, c_t1)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3435, 539, 3432])).
% 15.58/10.40 tff(3437,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3438,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3439,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 15.58/10.40 tff(3440,plain,
% 15.58/10.40 (~node5(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3439, 550, 3436])).
% 15.58/10.40 tff(3441,plain,
% 15.58/10.40 (((~![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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3442,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3443,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3442, 3441])).
% 15.58/10.40 tff(3444,plain,
% 15.58/10.40 (node14(s37, s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3443, 46, 3420])).
% 15.58/10.40 tff(3445,plain,
% 15.58/10.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3446,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3447,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3446, 3445])).
% 15.58/10.40 tff(3448,plain,
% 15.58/10.40 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state2(s38, c_t2)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3447, 922, 3444])).
% 15.58/10.40 tff(3449,plain,
% 15.58/10.40 (m_main_v_state2(s38, c_t2)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3448, 3405, 3337])).
% 15.58/10.40 tff(3450,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3451,plain,
% 15.58/10.40 ((~![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)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3452,plain,
% 15.58/10.40 ((~![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))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3451, 3450])).
% 15.58/10.40 tff(3453,plain,
% 15.58/10.40 (~m_main_v_state2(s38, c_n2)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3452, 77, 3449])).
% 15.58/10.40 tff(3454,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3455,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3456,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3455, 3454])).
% 15.58/10.40 tff(3457,plain,
% 15.58/10.40 (~node4(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3456, 388, 3453])).
% 15.58/10.40 tff(3458,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3459,plain,
% 15.58/10.40 ((~![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)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3460,plain,
% 15.58/10.40 ((~![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))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3459, 3458])).
% 15.58/10.40 tff(3461,plain,
% 15.58/10.40 (~m_main_v_state2(s38, c_c2)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3460, 260, 3449])).
% 15.58/10.40 tff(3462,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3463,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3464,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 15.58/10.40 tff(3465,plain,
% 15.58/10.40 (~node3(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3464, 399, 3461])).
% 15.58/10.40 tff(3466,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3467,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3468,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 15.58/10.40 tff(3469,plain,
% 15.58/10.40 (~node2(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3468, 410, 3453])).
% 15.58/10.40 tff(3470,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3471,plain,
% 15.58/10.40 ((~![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)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3472,plain,
% 15.58/10.40 ((~![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))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 15.58/10.40 tff(3473,plain,
% 15.58/10.40 (~m_main_v_state1(s38, c_n1)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3472, 454, 3432])).
% 15.58/10.40 tff(3474,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3475,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3476,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 15.58/10.40 tff(3477,plain,
% 15.58/10.40 (~node1(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3476, 421, 3473])).
% 15.58/10.40 tff(3478,plain,
% 15.58/10.40 (succ(s38, s39) <=> succ(s38, s39)),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3479,axiom,(succ(s38, s39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound39')).
% 15.58/10.40 tff(3480,plain,
% 15.58/10.40 (succ(s38, s39)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 15.58/10.40 tff(3481,plain,
% 15.58/10.40 (((~![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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3482,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3483,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 15.58/10.40 tff(3484,plain,
% 15.58/10.40 (trans(s38, s39)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3483, 3480, 32])).
% 15.58/10.40 tff(3485,plain,
% 15.58/10.40 (((~![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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3486,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3487,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 15.58/10.40 tff(3488,plain,
% 15.58/10.40 (node7(s38, s39)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3487, 206, 3484])).
% 15.58/10.40 tff(3489,plain,
% 15.58/10.40 (((~![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(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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3490,plain,
% 15.58/10.40 (((~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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3491,plain,
% 15.58/10.40 (((~![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(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))))),
% 15.58/10.40 inference(monotonicity,[status(thm)],[3490])).
% 15.58/10.40 tff(3492,plain,
% 15.58/10.40 (((~![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(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)))),
% 15.58/10.40 inference(transitivity,[status(thm)],[3491, 3489])).
% 15.58/10.40 tff(3493,plain,
% 15.58/10.40 ((~![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(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3494,plain,
% 15.58/10.40 ((~![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(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 15.58/10.40 tff(3495,plain,
% 15.58/10.40 (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3494, 584, 3488])).
% 15.58/10.40 tff(3496,plain,
% 15.58/10.40 (m_main_v_state1(s39, c_n1)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3495, 3477, 3432, 3469, 3465, 3457, 3440])).
% 15.58/10.40 tff(3497,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3498,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3499,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 15.58/10.40 tff(3500,plain,
% 15.58/10.40 (~node15(s37)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3499, 103, 3409])).
% 15.58/10.40 tff(3501,plain,
% 15.58/10.40 (((~![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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3502,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3503,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 15.58/10.40 tff(3504,plain,
% 15.58/10.40 (node18(s37, s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3503, 125, 3420])).
% 15.58/10.40 tff(3505,plain,
% 15.58/10.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3506,plain,
% 15.58/10.40 (((~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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3507,plain,
% 15.58/10.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 15.58/10.40 inference(monotonicity,[status(thm)],[3506])).
% 15.58/10.40 tff(3508,plain,
% 15.58/10.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 15.58/10.40 inference(transitivity,[status(thm)],[3507, 3505])).
% 15.58/10.40 tff(3509,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3510,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 15.58/10.40 tff(3511,plain,
% 15.58/10.40 (node15(s37) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3510, 992, 3504])).
% 15.58/10.40 tff(3512,plain,
% 15.58/10.40 (m_main_v_turn(s38, c_1)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3511, 3500, 3337, 3405])).
% 15.58/10.40 tff(3513,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3514,plain,
% 15.58/10.40 ((~![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)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3515,plain,
% 15.58/10.40 ((~![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))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 15.58/10.40 tff(3516,plain,
% 15.58/10.40 (~m_main_v_turn(s38, c_2)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3515, 156, 3512])).
% 15.58/10.40 tff(3517,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3518,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3519,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3518, 3517])).
% 15.58/10.40 tff(3520,plain,
% 15.58/10.40 (~node12(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3519, 184, 3516])).
% 15.58/10.40 tff(3521,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3522,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3523,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 15.58/10.40 tff(3524,plain,
% 15.58/10.40 (~node8(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3523, 271, 3453])).
% 15.58/10.40 tff(3525,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3526,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3527,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3526, 3525])).
% 15.58/10.40 tff(3528,plain,
% 15.58/10.40 (~node9(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3527, 88, 3453])).
% 15.58/10.40 tff(3529,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3530,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3531,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3530, 3529])).
% 15.58/10.40 tff(3532,plain,
% 15.58/10.40 (~node10(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3531, 249, 3453])).
% 15.58/10.40 tff(3533,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3534,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3535,plain,
% 15.58/10.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 15.58/10.40 tff(3536,plain,
% 15.58/10.40 (~node11(s38)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3535, 238, 3473])).
% 15.58/10.40 tff(3537,plain,
% 15.58/10.40 (((~![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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3538,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3539,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3538, 3537])).
% 15.58/10.40 tff(3540,plain,
% 15.58/10.40 (node14(s38, s39)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3539, 46, 3484])).
% 15.58/10.40 tff(3541,plain,
% 15.58/10.40 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3542,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3543,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3542, 3541])).
% 15.58/10.40 tff(3544,plain,
% 15.58/10.40 (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3543, 296, 3540])).
% 15.58/10.40 tff(3545,plain,
% 15.58/10.40 (node13(s38, s39)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3544, 3536, 3461, 3532, 3528, 3524, 3520])).
% 15.58/10.40 tff(3546,plain,
% 15.58/10.40 (((~![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(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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3547,plain,
% 15.58/10.40 (((~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)))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3548,plain,
% 15.58/10.40 (((~![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))))),
% 15.58/10.40 inference(monotonicity,[status(thm)],[3547])).
% 15.58/10.40 tff(3549,plain,
% 15.58/10.40 (((~![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)))),
% 15.58/10.40 inference(transitivity,[status(thm)],[3548, 3546])).
% 15.58/10.40 tff(3550,plain,
% 15.58/10.40 ((~![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))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3551,plain,
% 15.58/10.40 ((~![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(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39))),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3550, 3549])).
% 15.58/10.40 tff(3552,plain,
% 15.58/10.40 (m_main_v_state2(s39, c_t2)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3551, 518, 3449, 3545])).
% 15.58/10.40 tff(3553,plain,
% 15.58/10.40 (succ(s39, s40) <=> succ(s39, s40)),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3554,axiom,(succ(s39, s40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound40')).
% 15.58/10.40 tff(3555,plain,
% 15.58/10.40 (succ(s39, s40)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3554, 3553])).
% 15.58/10.40 tff(3556,plain,
% 15.58/10.40 (((~![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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3557,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3558,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 15.58/10.40 tff(3559,plain,
% 15.58/10.40 (trans(s39, s40)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3558, 3555, 32])).
% 15.58/10.40 tff(3560,plain,
% 15.58/10.40 (((~![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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3561,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))),
% 15.58/10.40 inference(quant_inst,[status(thm)],[])).
% 15.58/10.40 tff(3562,plain,
% 15.58/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40)),
% 15.58/10.40 inference(modus_ponens,[status(thm)],[3561, 3560])).
% 15.58/10.40 tff(3563,plain,
% 15.58/10.40 (node7(s39, s40)),
% 15.58/10.40 inference(unit_resolution,[status(thm)],[3562, 206, 3559])).
% 15.58/10.40 tff(3564,plain,
% 15.58/10.40 (((~![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(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))),
% 15.58/10.40 inference(rewrite,[status(thm)],[])).
% 15.58/10.40 tff(3565,plain,
% 15.58/10.40 ((~![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(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3566,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3565, 3564])).
% 15.58/10.41 tff(3567,plain,
% 15.58/10.41 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_state1(s40, c_t1)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3566, 651, 3563])).
% 15.58/10.41 tff(3568,plain,
% 15.58/10.41 (m_main_v_state1(s40, c_t1)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3567, 3552, 3496])).
% 15.58/10.41 tff(3569,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3570,plain,
% 15.58/10.41 ((~![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)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3571,plain,
% 15.58/10.41 ((~![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))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 15.58/10.41 tff(3572,plain,
% 15.58/10.41 (~m_main_v_state1(s40, c_n1)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3571, 10, 3568])).
% 15.58/10.41 tff(3573,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3574,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3575,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3574, 3573])).
% 15.58/10.41 tff(3576,plain,
% 15.58/10.41 (~node1(s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3575, 421, 3572])).
% 15.58/10.41 tff(3577,plain,
% 15.58/10.41 (((~![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))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3578,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3579,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40)),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3578, 3577])).
% 15.58/10.41 tff(3580,plain,
% 15.58/10.41 (node18(s39, s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3579, 125, 3559])).
% 15.58/10.41 tff(3581,plain,
% 15.58/10.41 (((~![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(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))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3582,plain,
% 15.58/10.41 ((~![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(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3583,plain,
% 15.58/10.41 ((~![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(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2)),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3582, 3581])).
% 15.58/10.41 tff(3584,plain,
% 15.58/10.41 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_turn(s40, c_2)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3583, 760, 3580])).
% 15.58/10.41 tff(3585,plain,
% 15.58/10.41 (m_main_v_turn(s40, c_2)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3584, 3552, 3496])).
% 15.58/10.41 tff(3586,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3587,plain,
% 15.58/10.41 ((~![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)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3588,plain,
% 15.58/10.41 ((~![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))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3587, 3586])).
% 15.58/10.41 tff(3589,plain,
% 15.58/10.41 (~m_main_v_turn(s40, c_1)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3588, 156, 3585])).
% 15.58/10.41 tff(3590,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3591,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3592,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3591, 3590])).
% 15.58/10.41 tff(3593,plain,
% 15.58/10.41 (~node5(s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3592, 776, 3589])).
% 15.58/10.41 tff(3594,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3595,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3596,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3595, 3594])).
% 15.58/10.41 tff(3597,plain,
% 15.58/10.41 (~node2(s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3596, 787, 3572])).
% 15.58/10.41 tff(3598,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3599,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3600,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3599, 3598])).
% 15.58/10.41 tff(3601,plain,
% 15.58/10.41 (~node3(s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3600, 798, 3572])).
% 15.58/10.41 tff(3602,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3603,plain,
% 15.58/10.41 ((~![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)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3604,plain,
% 15.58/10.41 ((~![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))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3603, 3602])).
% 15.58/10.41 tff(3605,plain,
% 15.58/10.41 (~m_main_v_state1(s40, c_c1)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3604, 539, 3568])).
% 15.58/10.41 tff(3606,plain,
% 15.58/10.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3607,plain,
% 15.58/10.41 (((~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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3608,plain,
% 15.58/10.41 (((~![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))))),
% 15.58/10.41 inference(monotonicity,[status(thm)],[3607])).
% 15.58/10.41 tff(3609,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(transitivity,[status(thm)],[3608, 3606])).
% 15.58/10.41 tff(3610,plain,
% 15.58/10.41 ((~![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)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3611,plain,
% 15.58/10.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 15.58/10.41 tff(3612,plain,
% 15.58/10.41 (~m_main_v_state2(s39, c_n2)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3611, 311, 3453, 3545])).
% 15.58/10.41 tff(3613,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3614,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3615,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 15.58/10.41 tff(3616,plain,
% 15.58/10.41 (~node9(s39)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3615, 88, 3612])).
% 15.58/10.41 tff(3617,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3618,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3619,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 15.58/10.41 tff(3620,plain,
% 15.58/10.41 (~node10(s39)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3619, 249, 3612])).
% 15.58/10.41 tff(3621,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3622,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3623,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 15.58/10.41 tff(3624,plain,
% 15.58/10.41 (~node8(s39)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3623, 271, 3612])).
% 15.58/10.41 tff(3625,plain,
% 15.58/10.41 (((~![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))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3626,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3627,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40)),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 15.58/10.41 tff(3628,plain,
% 15.58/10.41 (node14(s39, s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3627, 46, 3559])).
% 15.58/10.41 tff(3629,plain,
% 15.58/10.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3630,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3631,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 15.58/10.41 tff(3632,plain,
% 15.58/10.41 ((~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)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3631, 617, 3628])).
% 15.58/10.41 tff(3633,plain,
% 15.58/10.41 (m_main_v_state2(s40, c_c2)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3632, 3624, 3496, 3552, 3620, 3616])).
% 15.58/10.41 tff(3634,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3635,plain,
% 15.58/10.41 ((~![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)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3636,plain,
% 15.58/10.41 ((~![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))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3635, 3634])).
% 15.58/10.41 tff(3637,plain,
% 15.58/10.41 (~m_main_v_state2(s40, c_n2)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3636, 697, 3633])).
% 15.58/10.41 tff(3638,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3639,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3640,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3639, 3638])).
% 15.58/10.41 tff(3641,plain,
% 15.58/10.41 (~node4(s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3640, 388, 3637])).
% 15.58/10.41 tff(3642,plain,
% 15.58/10.41 (succ(s40, s41) <=> succ(s40, s41)),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3643,axiom,(succ(s40, s41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound41')).
% 15.58/10.41 tff(3644,plain,
% 15.58/10.41 (succ(s40, s41)),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3643, 3642])).
% 15.58/10.41 tff(3645,plain,
% 15.58/10.41 (((~![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))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3646,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3647,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3646, 3645])).
% 15.58/10.41 tff(3648,plain,
% 15.58/10.41 (trans(s40, s41)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3647, 3644, 32])).
% 15.58/10.41 tff(3649,plain,
% 15.58/10.41 (((~![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))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3650,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3651,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41)),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 15.58/10.41 tff(3652,plain,
% 15.58/10.41 (node7(s40, s41)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3651, 206, 3648])).
% 15.58/10.41 tff(3653,plain,
% 15.58/10.41 (((~![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(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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3654,plain,
% 15.58/10.41 ((~![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(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3655,plain,
% 15.58/10.41 ((~![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(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3654, 3653])).
% 15.58/10.41 tff(3656,plain,
% 15.58/10.41 (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3655, 820, 3652])).
% 15.58/10.41 tff(3657,plain,
% 15.58/10.41 (node6(s40, s41)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3656, 3641, 3605, 3601, 3597, 3593, 3576])).
% 15.58/10.41 tff(3658,plain,
% 15.58/10.41 (((~![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(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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3659,plain,
% 15.58/10.41 (((~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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3660,plain,
% 15.58/10.41 (((~![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))))),
% 15.58/10.41 inference(monotonicity,[status(thm)],[3659])).
% 15.58/10.41 tff(3661,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(transitivity,[status(thm)],[3660, 3658])).
% 15.58/10.41 tff(3662,plain,
% 15.58/10.41 ((~![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))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3663,plain,
% 15.58/10.41 ((~![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(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3662, 3661])).
% 15.58/10.41 tff(3664,plain,
% 15.58/10.41 (m_main_v_state1(s41, c_t1)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3663, 856, 3568, 3657])).
% 15.58/10.41 tff(3665,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3666,plain,
% 15.58/10.41 ((~![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)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3667,plain,
% 15.58/10.41 ((~![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))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3666, 3665])).
% 15.58/10.41 tff(3668,plain,
% 15.58/10.41 (~m_main_v_state2(s40, c_t2)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3667, 260, 3633])).
% 15.58/10.41 tff(3669,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3670,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3671,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 15.58/10.41 tff(3672,plain,
% 15.58/10.41 (~node12(s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3671, 633, 3668])).
% 15.58/10.41 tff(3673,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3674,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3675,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 15.58/10.41 tff(3676,plain,
% 15.58/10.41 (~node11(s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3675, 238, 3572])).
% 15.58/10.41 tff(3677,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3678,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3679,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 15.58/10.41 tff(3680,plain,
% 15.58/10.41 (~node10(s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3679, 675, 3605])).
% 15.58/10.41 tff(3681,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3682,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3683,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 15.58/10.41 tff(3684,plain,
% 15.58/10.41 (~node9(s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3683, 686, 3572])).
% 15.58/10.41 tff(3685,plain,
% 15.58/10.41 (((~![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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3686,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3687,plain,
% 15.58/10.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40))),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 15.58/10.41 tff(3688,plain,
% 15.58/10.41 (~node8(s40)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3687, 271, 3637])).
% 15.58/10.41 tff(3689,plain,
% 15.58/10.41 (((~![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))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3690,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))),
% 15.58/10.41 inference(quant_inst,[status(thm)],[])).
% 15.58/10.41 tff(3691,plain,
% 15.58/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41)),
% 15.58/10.41 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 15.58/10.41 tff(3692,plain,
% 15.58/10.41 (node14(s40, s41)),
% 15.58/10.41 inference(unit_resolution,[status(thm)],[3691, 46, 3648])).
% 15.58/10.41 tff(3693,plain,
% 15.58/10.41 (((~![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(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)))),
% 15.58/10.41 inference(rewrite,[status(thm)],[])).
% 15.58/10.41 tff(3694,plain,
% 15.58/10.41 (((~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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3695,plain,
% 15.58/10.42 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 15.58/10.42 inference(monotonicity,[status(thm)],[3694])).
% 15.58/10.42 tff(3696,plain,
% 15.58/10.42 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 15.58/10.42 inference(transitivity,[status(thm)],[3695, 3693])).
% 15.58/10.42 tff(3697,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3698,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 15.58/10.42 tff(3699,plain,
% 15.58/10.42 (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~m_main_v_state2(s40, c_c2))),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3698, 726, 3692])).
% 15.58/10.42 tff(3700,plain,
% 15.58/10.42 (m_main_v_state2(s41, c_n2)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3699, 3688, 3633, 3684, 3680, 3676, 3672])).
% 15.58/10.42 tff(3701,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3702,plain,
% 15.58/10.42 ((~![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)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3703,plain,
% 15.58/10.42 ((~![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))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 15.58/10.42 tff(3704,plain,
% 15.58/10.42 (~m_main_v_state2(s41, c_t2)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3703, 77, 3700])).
% 15.58/10.42 tff(3705,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3706,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3707,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 15.58/10.42 tff(3708,plain,
% 15.58/10.42 (~node15(s41)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3707, 103, 3704])).
% 15.58/10.42 tff(3709,plain,
% 15.58/10.42 (succ(s41, s42) <=> succ(s41, s42)),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3710,axiom,(succ(s41, s42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound42')).
% 15.58/10.42 tff(3711,plain,
% 15.58/10.42 (succ(s41, s42)),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 15.58/10.42 tff(3712,plain,
% 15.58/10.42 (((~![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))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3713,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3714,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 15.58/10.42 tff(3715,plain,
% 15.58/10.42 (trans(s41, s42)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3714, 3711, 32])).
% 15.58/10.42 tff(3716,plain,
% 15.58/10.42 (((~![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))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3717,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3718,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42)),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 15.58/10.42 tff(3719,plain,
% 15.58/10.42 (node18(s41, s42)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3718, 125, 3715])).
% 15.58/10.42 tff(3720,plain,
% 15.58/10.42 (((~![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(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))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3721,plain,
% 15.58/10.42 (((~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))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3722,plain,
% 15.58/10.42 (((~![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(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)))),
% 15.58/10.42 inference(monotonicity,[status(thm)],[3721])).
% 15.58/10.42 tff(3723,plain,
% 15.58/10.42 (((~![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(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))),
% 15.58/10.42 inference(transitivity,[status(thm)],[3722, 3720])).
% 15.58/10.42 tff(3724,plain,
% 15.58/10.42 ((~![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(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3725,plain,
% 15.58/10.42 ((~![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(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)),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 15.58/10.42 tff(3726,plain,
% 15.58/10.42 (node15(s41) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3725, 992, 3719])).
% 15.58/10.42 tff(3727,plain,
% 15.58/10.42 (m_main_v_turn(s42, c_1)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3726, 3708, 3700, 3664])).
% 15.58/10.42 tff(3728,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3729,plain,
% 15.58/10.42 ((~![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)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3730,plain,
% 15.58/10.42 ((~![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))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 15.58/10.42 tff(3731,plain,
% 15.58/10.42 (~m_main_v_turn(s42, c_2)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3730, 156, 3727])).
% 15.58/10.42 tff(3732,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3733,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3734,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 15.58/10.42 tff(3735,plain,
% 15.58/10.42 (~node12(s42)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3734, 184, 3731])).
% 15.58/10.42 tff(3736,plain,
% 15.58/10.42 (((~![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))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3737,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3738,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42)),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 15.58/10.42 tff(3739,plain,
% 15.58/10.42 (node14(s41, s42)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3738, 46, 3715])).
% 15.58/10.42 tff(3740,plain,
% 15.58/10.42 (((~![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(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))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3741,plain,
% 15.58/10.42 ((~![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(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3742,plain,
% 15.58/10.42 ((~![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(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2)),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3741, 3740])).
% 15.58/10.42 tff(3743,plain,
% 15.58/10.42 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state2(s42, c_t2)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3742, 922, 3739])).
% 15.58/10.42 tff(3744,plain,
% 15.58/10.42 (m_main_v_state2(s42, c_t2)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3743, 3664, 3700])).
% 15.58/10.42 tff(3745,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3746,plain,
% 15.58/10.42 ((~![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)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3747,plain,
% 15.58/10.42 ((~![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))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 15.58/10.42 tff(3748,plain,
% 15.58/10.42 (~m_main_v_state2(s42, c_n2)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3747, 77, 3744])).
% 15.58/10.42 tff(3749,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3750,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3751,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 15.58/10.42 tff(3752,plain,
% 15.58/10.42 (~node8(s42)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3751, 271, 3748])).
% 15.58/10.42 tff(3753,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3754,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3755,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 15.58/10.42 tff(3756,plain,
% 15.58/10.42 (~node9(s42)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3755, 88, 3748])).
% 15.58/10.42 tff(3757,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3758,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3759,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 15.58/10.42 tff(3760,plain,
% 15.58/10.42 (~node10(s42)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3759, 249, 3748])).
% 15.58/10.42 tff(3761,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3762,plain,
% 15.58/10.42 ((~![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)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3763,plain,
% 15.58/10.42 ((~![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))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 15.58/10.42 tff(3764,plain,
% 15.58/10.42 (~m_main_v_state2(s42, c_c2)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3763, 260, 3744])).
% 15.58/10.42 tff(3765,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3766,plain,
% 15.58/10.42 ((~![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)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3767,plain,
% 15.58/10.42 ((~![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))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 15.58/10.42 tff(3768,plain,
% 15.58/10.42 (~m_main_v_state2(s41, c_c2)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3767, 697, 3700])).
% 15.58/10.42 tff(3769,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3770,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3771,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3770, 3769])).
% 15.58/10.42 tff(3772,plain,
% 15.58/10.42 (~node3(s41)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3771, 399, 3768])).
% 15.58/10.42 tff(3773,plain,
% 15.58/10.42 (((~![V: $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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3774,plain,
% 15.58/10.42 (((~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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3775,plain,
% 15.58/10.42 (((~![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))))),
% 15.58/10.42 inference(monotonicity,[status(thm)],[3774])).
% 15.58/10.42 tff(3776,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(transitivity,[status(thm)],[3775, 3773])).
% 15.58/10.42 tff(3777,plain,
% 15.58/10.42 ((~![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)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3778,plain,
% 15.58/10.42 ((~![V: $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))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 15.58/10.42 tff(3779,plain,
% 15.58/10.42 (~m_main_v_state1(s41, c_n1)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3778, 835, 3572, 3657])).
% 15.58/10.42 tff(3780,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3781,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3782,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 15.58/10.42 tff(3783,plain,
% 15.58/10.42 (~node2(s41)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3782, 787, 3779])).
% 15.58/10.42 tff(3784,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3785,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3786,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 15.58/10.42 tff(3787,plain,
% 15.58/10.42 (~node1(s41)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3786, 195, 3704])).
% 15.58/10.42 tff(3788,plain,
% 15.58/10.42 (((~![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))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3789,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3790,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42)),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 15.58/10.42 tff(3791,plain,
% 15.58/10.42 (node7(s41, s42)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3790, 206, 3715])).
% 15.58/10.42 tff(3792,plain,
% 15.58/10.42 (((~![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(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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3793,plain,
% 15.58/10.42 (((~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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3794,plain,
% 15.58/10.42 (((~![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(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))))),
% 15.58/10.42 inference(monotonicity,[status(thm)],[3793])).
% 15.58/10.42 tff(3795,plain,
% 15.58/10.42 (((~![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(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)))),
% 15.58/10.42 inference(transitivity,[status(thm)],[3794, 3792])).
% 15.58/10.42 tff(3796,plain,
% 15.58/10.42 ((~![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(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))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3797,plain,
% 15.58/10.42 ((~![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(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))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 15.58/10.42 tff(3798,plain,
% 15.58/10.42 ((~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)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3797, 892, 3791])).
% 15.58/10.42 tff(3799,plain,
% 15.58/10.42 (m_main_v_state1(s42, c_c1)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3798, 3787, 3700, 3664, 3783, 3772])).
% 15.58/10.42 tff(3800,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3801,plain,
% 15.58/10.42 ((~![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)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3802,plain,
% 15.58/10.42 ((~![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))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3801, 3800])).
% 15.58/10.42 tff(3803,plain,
% 15.58/10.42 (~m_main_v_state1(s42, c_n1)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3802, 454, 3799])).
% 15.58/10.42 tff(3804,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3805,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3806,plain,
% 15.58/10.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 15.58/10.42 tff(3807,plain,
% 15.58/10.42 (~node11(s42)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3806, 238, 3803])).
% 15.58/10.42 tff(3808,plain,
% 15.58/10.42 (succ(s42, s43) <=> succ(s42, s43)),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3809,axiom,(succ(s42, s43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound43')).
% 15.58/10.42 tff(3810,plain,
% 15.58/10.42 (succ(s42, s43)),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3809, 3808])).
% 15.58/10.42 tff(3811,plain,
% 15.58/10.42 (((~![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))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3812,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3813,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 15.58/10.42 tff(3814,plain,
% 15.58/10.42 (trans(s42, s43)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3813, 3810, 32])).
% 15.58/10.42 tff(3815,plain,
% 15.58/10.42 (((~![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))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3816,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3817,plain,
% 15.58/10.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43)),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 15.58/10.42 tff(3818,plain,
% 15.58/10.42 (node14(s42, s43)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3817, 46, 3814])).
% 15.58/10.42 tff(3819,plain,
% 15.58/10.42 (((~![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(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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3820,plain,
% 15.58/10.42 ((~![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(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))),
% 15.58/10.42 inference(quant_inst,[status(thm)],[])).
% 15.58/10.42 tff(3821,plain,
% 15.58/10.42 ((~![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(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43))),
% 15.58/10.42 inference(modus_ponens,[status(thm)],[3820, 3819])).
% 15.58/10.42 tff(3822,plain,
% 15.58/10.42 (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3821, 296, 3818])).
% 15.58/10.42 tff(3823,plain,
% 15.58/10.42 (node13(s42, s43)),
% 15.58/10.42 inference(unit_resolution,[status(thm)],[3822, 3807, 3764, 3760, 3756, 3752, 3735])).
% 15.58/10.42 tff(3824,plain,
% 15.58/10.42 (((~![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(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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3825,plain,
% 15.58/10.42 (((~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)))),
% 15.58/10.42 inference(rewrite,[status(thm)],[])).
% 15.58/10.42 tff(3826,plain,
% 15.58/10.42 (((~![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))))),
% 15.58/10.42 inference(monotonicity,[status(thm)],[3825])).
% 15.58/10.42 tff(3827,plain,
% 15.58/10.42 (((~![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)))),
% 15.58/10.43 inference(transitivity,[status(thm)],[3826, 3824])).
% 15.58/10.43 tff(3828,plain,
% 15.58/10.43 ((~![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)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3829,plain,
% 15.58/10.43 ((~![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(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 15.58/10.43 tff(3830,plain,
% 15.58/10.43 (~m_main_v_state2(s43, c_n2)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3829, 311, 3748, 3823])).
% 15.58/10.43 tff(3831,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3832,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3833,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 15.58/10.43 tff(3834,plain,
% 15.58/10.43 (~node9(s43)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3833, 88, 3830])).
% 15.58/10.43 tff(3835,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3836,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3837,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 15.58/10.43 tff(3838,plain,
% 15.58/10.43 (~node10(s43)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3837, 249, 3830])).
% 15.58/10.43 tff(3839,plain,
% 15.58/10.43 (((~![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(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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3840,plain,
% 15.58/10.43 (((~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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3841,plain,
% 15.58/10.43 (((~![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))))),
% 15.58/10.43 inference(monotonicity,[status(thm)],[3840])).
% 15.58/10.43 tff(3842,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(transitivity,[status(thm)],[3841, 3839])).
% 15.58/10.43 tff(3843,plain,
% 15.58/10.43 ((~![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))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3844,plain,
% 15.58/10.43 ((~![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(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 15.58/10.43 tff(3845,plain,
% 15.58/10.43 (m_main_v_state2(s43, c_t2)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3844, 518, 3744, 3823])).
% 15.58/10.43 tff(3846,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3847,plain,
% 15.58/10.43 ((~![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)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3848,plain,
% 15.58/10.43 ((~![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))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3847, 3846])).
% 15.58/10.43 tff(3849,plain,
% 15.58/10.43 (~m_main_v_state1(s42, c_t1)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3848, 539, 3799])).
% 15.58/10.43 tff(3850,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3851,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3852,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 15.58/10.43 tff(3853,plain,
% 15.58/10.43 (~node5(s42)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3852, 550, 3849])).
% 15.58/10.43 tff(3854,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3855,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3856,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3855, 3854])).
% 15.58/10.43 tff(3857,plain,
% 15.58/10.43 (~node4(s42)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3856, 388, 3748])).
% 15.58/10.43 tff(3858,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3859,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3860,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 15.58/10.43 tff(3861,plain,
% 15.58/10.43 (~node3(s42)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3860, 399, 3764])).
% 15.58/10.43 tff(3862,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3863,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3864,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 15.58/10.43 tff(3865,plain,
% 15.58/10.43 (~node2(s42)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3864, 410, 3748])).
% 15.58/10.43 tff(3866,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3867,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3868,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3867, 3866])).
% 15.58/10.43 tff(3869,plain,
% 15.58/10.43 (~node1(s42)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3868, 421, 3803])).
% 15.58/10.43 tff(3870,plain,
% 15.58/10.43 (((~![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))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3871,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3872,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43)),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 15.58/10.43 tff(3873,plain,
% 15.58/10.43 (node7(s42, s43)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3872, 206, 3814])).
% 15.58/10.43 tff(3874,plain,
% 15.58/10.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3875,plain,
% 15.58/10.43 (((~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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3876,plain,
% 15.58/10.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 15.58/10.43 inference(monotonicity,[status(thm)],[3875])).
% 15.58/10.43 tff(3877,plain,
% 15.58/10.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 15.58/10.43 inference(transitivity,[status(thm)],[3876, 3874])).
% 15.58/10.43 tff(3878,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3879,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3878, 3877])).
% 15.58/10.43 tff(3880,plain,
% 15.58/10.43 (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3879, 584, 3873])).
% 15.58/10.43 tff(3881,plain,
% 15.58/10.43 (m_main_v_state1(s43, c_n1)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3880, 3869, 3799, 3865, 3861, 3857, 3853])).
% 15.58/10.43 tff(3882,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3883,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3884,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 15.58/10.43 tff(3885,plain,
% 15.58/10.43 (~node8(s43)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3884, 271, 3830])).
% 15.58/10.43 tff(3886,plain,
% 15.58/10.43 (succ(s43, s44) <=> succ(s43, s44)),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3887,axiom,(succ(s43, s44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound44')).
% 15.58/10.43 tff(3888,plain,
% 15.58/10.43 (succ(s43, s44)),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3887, 3886])).
% 15.58/10.43 tff(3889,plain,
% 15.58/10.43 (((~![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))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3890,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3891,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3890, 3889])).
% 15.58/10.43 tff(3892,plain,
% 15.58/10.43 (trans(s43, s44)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3891, 3888, 32])).
% 15.58/10.43 tff(3893,plain,
% 15.58/10.43 (((~![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))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3894,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3895,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44)),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3894, 3893])).
% 15.58/10.43 tff(3896,plain,
% 15.58/10.43 (node14(s43, s44)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3895, 46, 3892])).
% 15.58/10.43 tff(3897,plain,
% 15.58/10.43 (((~![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(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))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3898,plain,
% 15.58/10.43 ((~![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(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))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3899,plain,
% 15.58/10.43 ((~![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(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)),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 15.58/10.43 tff(3900,plain,
% 15.58/10.43 ((~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)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3899, 617, 3896])).
% 15.58/10.43 tff(3901,plain,
% 15.58/10.43 (m_main_v_state2(s44, c_c2)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3900, 3885, 3881, 3845, 3838, 3834])).
% 15.58/10.43 tff(3902,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3903,plain,
% 15.58/10.43 ((~![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)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3904,plain,
% 15.58/10.43 ((~![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))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 15.58/10.43 tff(3905,plain,
% 15.58/10.43 (~m_main_v_state2(s44, c_t2)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3904, 260, 3901])).
% 15.58/10.43 tff(3906,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3907,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3908,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 15.58/10.43 tff(3909,plain,
% 15.58/10.43 (~node12(s44)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3908, 633, 3905])).
% 15.58/10.43 tff(3910,plain,
% 15.58/10.43 (((~![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))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3911,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3912,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44)),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 15.58/10.43 tff(3913,plain,
% 15.58/10.43 (node7(s43, s44)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3912, 206, 3892])).
% 15.58/10.43 tff(3914,plain,
% 15.58/10.43 (((~![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(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))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3915,plain,
% 15.58/10.43 ((~![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(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3916,plain,
% 15.58/10.43 ((~![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(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1)),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 15.58/10.43 tff(3917,plain,
% 15.58/10.43 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_state1(s44, c_t1)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3916, 651, 3913])).
% 15.58/10.43 tff(3918,plain,
% 15.58/10.43 (m_main_v_state1(s44, c_t1)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3917, 3845, 3881])).
% 15.58/10.43 tff(3919,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3920,plain,
% 15.58/10.43 ((~![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)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3921,plain,
% 15.58/10.43 ((~![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))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 15.58/10.43 tff(3922,plain,
% 15.58/10.43 (~m_main_v_state1(s44, c_n1)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3921, 10, 3918])).
% 15.58/10.43 tff(3923,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3924,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3925,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 15.58/10.43 tff(3926,plain,
% 15.58/10.43 (~node11(s44)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3925, 238, 3922])).
% 15.58/10.43 tff(3927,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3928,plain,
% 15.58/10.43 ((~![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)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3929,plain,
% 15.58/10.43 ((~![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))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 15.58/10.43 tff(3930,plain,
% 15.58/10.43 (~m_main_v_state1(s44, c_c1)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3929, 539, 3918])).
% 15.58/10.43 tff(3931,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3932,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3933,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 15.58/10.43 tff(3934,plain,
% 15.58/10.43 (~node10(s44)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3933, 675, 3930])).
% 15.58/10.43 tff(3935,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3936,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3937,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 15.58/10.43 tff(3938,plain,
% 15.58/10.43 (~node9(s44)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3937, 686, 3922])).
% 15.58/10.43 tff(3939,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3940,plain,
% 15.58/10.43 ((~![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)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3941,plain,
% 15.58/10.43 ((~![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))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 15.58/10.43 tff(3942,plain,
% 15.58/10.43 (~m_main_v_state2(s44, c_n2)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3941, 697, 3901])).
% 15.58/10.43 tff(3943,plain,
% 15.58/10.43 (((~![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)))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3944,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3945,plain,
% 15.58/10.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44))),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 15.58/10.43 tff(3946,plain,
% 15.58/10.43 (~node8(s44)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3945, 271, 3942])).
% 15.58/10.43 tff(3947,plain,
% 15.58/10.43 (succ(s44, s45) <=> succ(s44, s45)),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3948,axiom,(succ(s44, s45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound45')).
% 15.58/10.43 tff(3949,plain,
% 15.58/10.43 (succ(s44, s45)),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3948, 3947])).
% 15.58/10.43 tff(3950,plain,
% 15.58/10.43 (((~![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))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3951,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3952,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 15.58/10.43 tff(3953,plain,
% 15.58/10.43 (trans(s44, s45)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3952, 3949, 32])).
% 15.58/10.43 tff(3954,plain,
% 15.58/10.43 (((~![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))),
% 15.58/10.43 inference(rewrite,[status(thm)],[])).
% 15.58/10.43 tff(3955,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))),
% 15.58/10.43 inference(quant_inst,[status(thm)],[])).
% 15.58/10.43 tff(3956,plain,
% 15.58/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45)),
% 15.58/10.43 inference(modus_ponens,[status(thm)],[3955, 3954])).
% 15.58/10.43 tff(3957,plain,
% 15.58/10.43 (node14(s44, s45)),
% 15.58/10.43 inference(unit_resolution,[status(thm)],[3956, 46, 3953])).
% 15.58/10.43 tff(3958,plain,
% 15.58/10.43 (((~![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(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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(3959,plain,
% 15.58/10.44 (((~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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(3960,plain,
% 15.58/10.44 (((~![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(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))))),
% 15.58/10.44 inference(monotonicity,[status(thm)],[3959])).
% 15.58/10.44 tff(3961,plain,
% 15.58/10.44 (((~![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(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)))),
% 15.58/10.44 inference(transitivity,[status(thm)],[3960, 3958])).
% 15.58/10.44 tff(3962,plain,
% 15.58/10.44 ((~![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(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(3963,plain,
% 15.58/10.44 ((~![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(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[3962, 3961])).
% 15.58/10.44 tff(3964,plain,
% 15.58/10.44 (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~m_main_v_state2(s44, c_c2))),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3963, 726, 3957])).
% 15.58/10.44 tff(3965,plain,
% 15.58/10.44 (m_main_v_state2(s45, c_n2)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3964, 3946, 3901, 3938, 3934, 3926, 3909])).
% 15.58/10.44 tff(3966,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(3967,plain,
% 15.58/10.44 ((~![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)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(3968,plain,
% 15.58/10.44 ((~![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))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 15.58/10.44 tff(3969,plain,
% 15.58/10.44 (~m_main_v_state2(s45, c_c2)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3968, 697, 3965])).
% 15.58/10.44 tff(3970,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(3971,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(3972,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 15.58/10.44 tff(3973,plain,
% 15.58/10.44 (~node3(s45)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3972, 399, 3969])).
% 15.58/10.44 tff(3974,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(3975,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(3976,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[3975, 3974])).
% 15.58/10.44 tff(3977,plain,
% 15.58/10.44 (~node1(s44)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3976, 421, 3922])).
% 15.58/10.44 tff(3978,plain,
% 15.58/10.44 (((~![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))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(3979,plain,
% 15.58/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(3980,plain,
% 15.58/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44)),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 15.58/10.44 tff(3981,plain,
% 15.58/10.44 (node18(s43, s44)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3980, 125, 3892])).
% 15.58/10.44 tff(3982,plain,
% 15.58/10.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(3983,plain,
% 15.58/10.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(3984,plain,
% 15.58/10.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2)),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 15.58/10.44 tff(3985,plain,
% 15.58/10.44 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_turn(s44, c_2)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3984, 760, 3981])).
% 15.58/10.44 tff(3986,plain,
% 15.58/10.44 (m_main_v_turn(s44, c_2)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3985, 3845, 3881])).
% 15.58/10.44 tff(3987,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(3988,plain,
% 15.58/10.44 ((~![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)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(3989,plain,
% 15.58/10.44 ((~![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))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 15.58/10.44 tff(3990,plain,
% 15.58/10.44 (~m_main_v_turn(s44, c_1)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3989, 156, 3986])).
% 15.58/10.44 tff(3991,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(3992,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(3993,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 15.58/10.44 tff(3994,plain,
% 15.58/10.44 (~node5(s44)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3993, 776, 3990])).
% 15.58/10.44 tff(3995,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(3996,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(3997,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 15.58/10.44 tff(3998,plain,
% 15.58/10.44 (~node2(s44)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[3997, 787, 3922])).
% 15.58/10.44 tff(3999,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4000,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(4001,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 15.58/10.44 tff(4002,plain,
% 15.58/10.44 (~node3(s44)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[4001, 798, 3922])).
% 15.58/10.44 tff(4003,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4004,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(4005,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 15.58/10.44 tff(4006,plain,
% 15.58/10.44 (~node4(s44)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[4005, 388, 3942])).
% 15.58/10.44 tff(4007,plain,
% 15.58/10.44 (((~![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))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4008,plain,
% 15.58/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(4009,plain,
% 15.58/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45)),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[4008, 4007])).
% 15.58/10.44 tff(4010,plain,
% 15.58/10.44 (node7(s44, s45)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[4009, 206, 3953])).
% 15.58/10.44 tff(4011,plain,
% 15.58/10.44 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4012,plain,
% 15.58/10.44 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(4013,plain,
% 15.58/10.44 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[4012, 4011])).
% 15.58/10.44 tff(4014,plain,
% 15.58/10.44 (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[4013, 820, 4010])).
% 15.58/10.44 tff(4015,plain,
% 15.58/10.44 (node6(s44, s45)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[4014, 4006, 3930, 4002, 3998, 3994, 3977])).
% 15.58/10.44 tff(4016,plain,
% 15.58/10.44 (((~![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(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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4017,plain,
% 15.58/10.44 (((~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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4018,plain,
% 15.58/10.44 (((~![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))))),
% 15.58/10.44 inference(monotonicity,[status(thm)],[4017])).
% 15.58/10.44 tff(4019,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(transitivity,[status(thm)],[4018, 4016])).
% 15.58/10.44 tff(4020,plain,
% 15.58/10.44 ((~![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)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(4021,plain,
% 15.58/10.44 ((~![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(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 15.58/10.44 tff(4022,plain,
% 15.58/10.44 (~m_main_v_state1(s45, c_n1)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[4021, 835, 3922, 4015])).
% 15.58/10.44 tff(4023,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4024,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(4025,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[4024, 4023])).
% 15.58/10.44 tff(4026,plain,
% 15.58/10.44 (~node2(s45)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[4025, 787, 4022])).
% 15.58/10.44 tff(4027,plain,
% 15.58/10.44 (((~![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(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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4028,plain,
% 15.58/10.44 (((~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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4029,plain,
% 15.58/10.44 (((~![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))))),
% 15.58/10.44 inference(monotonicity,[status(thm)],[4028])).
% 15.58/10.44 tff(4030,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(transitivity,[status(thm)],[4029, 4027])).
% 15.58/10.44 tff(4031,plain,
% 15.58/10.44 ((~![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))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(4032,plain,
% 15.58/10.44 ((~![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(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 15.58/10.44 tff(4033,plain,
% 15.58/10.44 (m_main_v_state1(s45, c_t1)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[4032, 856, 3918, 4015])).
% 15.58/10.44 tff(4034,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4035,plain,
% 15.58/10.44 ((~![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)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(4036,plain,
% 15.58/10.44 ((~![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))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 15.58/10.44 tff(4037,plain,
% 15.58/10.44 (~m_main_v_state2(s45, c_t2)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[4036, 77, 3965])).
% 15.58/10.44 tff(4038,plain,
% 15.58/10.44 (((~![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)))),
% 15.58/10.44 inference(rewrite,[status(thm)],[])).
% 15.58/10.44 tff(4039,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 15.58/10.44 inference(quant_inst,[status(thm)],[])).
% 15.58/10.44 tff(4040,plain,
% 15.58/10.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45))),
% 15.58/10.44 inference(modus_ponens,[status(thm)],[4039, 4038])).
% 15.58/10.44 tff(4041,plain,
% 15.58/10.44 (~node1(s45)),
% 15.58/10.44 inference(unit_resolution,[status(thm)],[4040, 195, 4037])).
% 15.64/10.44 tff(4042,plain,
% 15.64/10.44 (succ(s45, s46) <=> succ(s45, s46)),
% 15.64/10.44 inference(rewrite,[status(thm)],[])).
% 15.64/10.44 tff(4043,axiom,(succ(s45, s46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound46')).
% 15.64/10.44 tff(4044,plain,
% 15.64/10.44 (succ(s45, s46)),
% 15.64/10.44 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 15.64/10.44 tff(4045,plain,
% 15.64/10.44 (((~![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))),
% 15.64/10.44 inference(rewrite,[status(thm)],[])).
% 15.64/10.44 tff(4046,plain,
% 15.64/10.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 15.64/10.44 inference(quant_inst,[status(thm)],[])).
% 15.64/10.44 tff(4047,plain,
% 15.64/10.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 15.64/10.44 inference(modus_ponens,[status(thm)],[4046, 4045])).
% 15.64/10.44 tff(4048,plain,
% 15.64/10.44 (trans(s45, s46)),
% 15.64/10.44 inference(unit_resolution,[status(thm)],[4047, 4044, 32])).
% 15.64/10.44 tff(4049,plain,
% 15.64/10.44 (((~![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))),
% 15.64/10.44 inference(rewrite,[status(thm)],[])).
% 15.64/10.44 tff(4050,plain,
% 15.64/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))),
% 15.64/10.44 inference(quant_inst,[status(thm)],[])).
% 15.64/10.44 tff(4051,plain,
% 15.64/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46)),
% 15.64/10.44 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 15.64/10.44 tff(4052,plain,
% 15.64/10.44 (node7(s45, s46)),
% 15.64/10.44 inference(unit_resolution,[status(thm)],[4051, 206, 4048])).
% 15.64/10.44 tff(4053,plain,
% 15.64/10.44 (((~![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(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)))),
% 15.64/10.44 inference(rewrite,[status(thm)],[])).
% 15.64/10.44 tff(4054,plain,
% 15.64/10.44 (((~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)))),
% 15.64/10.44 inference(rewrite,[status(thm)],[])).
% 15.64/10.44 tff(4055,plain,
% 15.64/10.44 (((~![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(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))))),
% 15.64/10.44 inference(monotonicity,[status(thm)],[4054])).
% 15.64/10.44 tff(4056,plain,
% 15.64/10.44 (((~![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(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)))),
% 15.64/10.44 inference(transitivity,[status(thm)],[4055, 4053])).
% 15.64/10.44 tff(4057,plain,
% 15.64/10.44 ((~![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(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))),
% 15.64/10.44 inference(quant_inst,[status(thm)],[])).
% 15.64/10.44 tff(4058,plain,
% 15.64/10.44 ((~![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(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))),
% 15.64/10.44 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 15.64/10.44 tff(4059,plain,
% 15.64/10.44 ((~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)),
% 15.64/10.44 inference(unit_resolution,[status(thm)],[4058, 892, 4052])).
% 15.64/10.44 tff(4060,plain,
% 15.64/10.44 (m_main_v_state1(s46, c_c1)),
% 15.64/10.44 inference(unit_resolution,[status(thm)],[4059, 4041, 3965, 4033, 4026, 3973])).
% 15.64/10.44 tff(4061,plain,
% 15.64/10.44 (((~![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)))),
% 15.64/10.44 inference(rewrite,[status(thm)],[])).
% 15.64/10.44 tff(4062,plain,
% 15.64/10.44 ((~![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)))),
% 15.64/10.44 inference(quant_inst,[status(thm)],[])).
% 15.64/10.44 tff(4063,plain,
% 15.64/10.44 ((~![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))),
% 15.64/10.44 inference(modus_ponens,[status(thm)],[4062, 4061])).
% 15.64/10.44 tff(4064,plain,
% 15.64/10.44 (~m_main_v_state1(s46, c_t1)),
% 15.64/10.44 inference(unit_resolution,[status(thm)],[4063, 539, 4060])).
% 15.64/10.44 tff(4065,plain,
% 15.64/10.44 (((~![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)))),
% 15.64/10.44 inference(rewrite,[status(thm)],[])).
% 15.64/10.44 tff(4066,plain,
% 15.64/10.44 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 15.64/10.44 inference(quant_inst,[status(thm)],[])).
% 15.64/10.44 tff(4067,plain,
% 15.64/10.44 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46))),
% 15.64/10.44 inference(modus_ponens,[status(thm)],[4066, 4065])).
% 15.64/10.44 tff(4068,plain,
% 15.64/10.44 (~node5(s46)),
% 15.64/10.44 inference(unit_resolution,[status(thm)],[4067, 550, 4064])).
% 15.64/10.44 tff(4069,plain,
% 15.64/10.44 (((~![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))),
% 15.64/10.44 inference(rewrite,[status(thm)],[])).
% 15.64/10.44 tff(4070,plain,
% 15.64/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))),
% 15.64/10.44 inference(quant_inst,[status(thm)],[])).
% 15.64/10.44 tff(4071,plain,
% 15.64/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46)),
% 15.64/10.44 inference(modus_ponens,[status(thm)],[4070, 4069])).
% 15.64/10.44 tff(4072,plain,
% 15.64/10.44 (node14(s45, s46)),
% 15.64/10.44 inference(unit_resolution,[status(thm)],[4071, 46, 4048])).
% 15.64/10.44 tff(4073,plain,
% 15.64/10.44 (((~![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(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))),
% 15.64/10.44 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4074,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4075,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4074, 4073])).
% 15.64/10.45 tff(4076,plain,
% 15.64/10.45 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state2(s46, c_t2)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4075, 922, 4072])).
% 15.64/10.45 tff(4077,plain,
% 15.64/10.45 (m_main_v_state2(s46, c_t2)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4076, 4033, 3965])).
% 15.64/10.45 tff(4078,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4079,plain,
% 15.64/10.45 ((~![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)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4080,plain,
% 15.64/10.45 ((~![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))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 15.64/10.45 tff(4081,plain,
% 15.64/10.45 (~m_main_v_state2(s46, c_n2)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4080, 77, 4077])).
% 15.64/10.45 tff(4082,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4083,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4084,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 15.64/10.45 tff(4085,plain,
% 15.64/10.45 (~node4(s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4084, 388, 4081])).
% 15.64/10.45 tff(4086,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4087,plain,
% 15.64/10.45 ((~![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)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4088,plain,
% 15.64/10.45 ((~![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))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 15.64/10.45 tff(4089,plain,
% 15.64/10.45 (~m_main_v_state2(s46, c_c2)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4088, 260, 4077])).
% 15.64/10.45 tff(4090,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4091,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4092,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 15.64/10.45 tff(4093,plain,
% 15.64/10.45 (~node3(s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4092, 399, 4089])).
% 15.64/10.45 tff(4094,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4095,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4096,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 15.64/10.45 tff(4097,plain,
% 15.64/10.45 (~node2(s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4096, 410, 4081])).
% 15.64/10.45 tff(4098,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4099,plain,
% 15.64/10.45 ((~![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)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4100,plain,
% 15.64/10.45 ((~![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))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 15.64/10.45 tff(4101,plain,
% 15.64/10.45 (~m_main_v_state1(s46, c_n1)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4100, 454, 4060])).
% 15.64/10.45 tff(4102,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4103,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4104,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 15.64/10.45 tff(4105,plain,
% 15.64/10.45 (~node1(s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4104, 421, 4101])).
% 15.64/10.45 tff(4106,plain,
% 15.64/10.45 (succ(s46, s47) <=> succ(s46, s47)),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4107,axiom,(succ(s46, s47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound47')).
% 15.64/10.45 tff(4108,plain,
% 15.64/10.45 (succ(s46, s47)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4107, 4106])).
% 15.64/10.45 tff(4109,plain,
% 15.64/10.45 (((~![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))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4110,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4111,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4110, 4109])).
% 15.64/10.45 tff(4112,plain,
% 15.64/10.45 (trans(s46, s47)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4111, 4108, 32])).
% 15.64/10.45 tff(4113,plain,
% 15.64/10.45 (((~![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))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4114,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4115,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4114, 4113])).
% 15.64/10.45 tff(4116,plain,
% 15.64/10.45 (node7(s46, s47)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4115, 206, 4112])).
% 15.64/10.45 tff(4117,plain,
% 15.64/10.45 (((~![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(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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4118,plain,
% 15.64/10.45 (((~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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4119,plain,
% 15.64/10.45 (((~![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(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))))),
% 15.64/10.45 inference(monotonicity,[status(thm)],[4118])).
% 15.64/10.45 tff(4120,plain,
% 15.64/10.45 (((~![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(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)))),
% 15.64/10.45 inference(transitivity,[status(thm)],[4119, 4117])).
% 15.64/10.45 tff(4121,plain,
% 15.64/10.45 ((~![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(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4122,plain,
% 15.64/10.45 ((~![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(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 15.64/10.45 tff(4123,plain,
% 15.64/10.45 (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4122, 584, 4116])).
% 15.64/10.45 tff(4124,plain,
% 15.64/10.45 (m_main_v_state1(s47, c_n1)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4123, 4105, 4060, 4097, 4093, 4085, 4068])).
% 15.64/10.45 tff(4125,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4126,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4127,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 15.64/10.45 tff(4128,plain,
% 15.64/10.45 (~node15(s45)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4127, 103, 4037])).
% 15.64/10.45 tff(4129,plain,
% 15.64/10.45 (((~![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))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4130,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4131,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 15.64/10.45 tff(4132,plain,
% 15.64/10.45 (node18(s45, s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4131, 125, 4048])).
% 15.64/10.45 tff(4133,plain,
% 15.64/10.45 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4134,plain,
% 15.64/10.45 (((~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))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4135,plain,
% 15.64/10.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 15.64/10.45 inference(monotonicity,[status(thm)],[4134])).
% 15.64/10.45 tff(4136,plain,
% 15.64/10.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 15.64/10.45 inference(transitivity,[status(thm)],[4135, 4133])).
% 15.64/10.45 tff(4137,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4138,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4137, 4136])).
% 15.64/10.45 tff(4139,plain,
% 15.64/10.45 (node15(s45) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4138, 992, 4132])).
% 15.64/10.45 tff(4140,plain,
% 15.64/10.45 (m_main_v_turn(s46, c_1)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4139, 4128, 3965, 4033])).
% 15.64/10.45 tff(4141,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4142,plain,
% 15.64/10.45 ((~![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)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4143,plain,
% 15.64/10.45 ((~![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))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4142, 4141])).
% 15.64/10.45 tff(4144,plain,
% 15.64/10.45 (~m_main_v_turn(s46, c_2)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4143, 156, 4140])).
% 15.64/10.45 tff(4145,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4146,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4147,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 15.64/10.45 tff(4148,plain,
% 15.64/10.45 (~node12(s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4147, 184, 4144])).
% 15.64/10.45 tff(4149,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4150,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4151,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 15.64/10.45 tff(4152,plain,
% 15.64/10.45 (~node8(s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4151, 271, 4081])).
% 15.64/10.45 tff(4153,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4154,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4155,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 15.64/10.45 tff(4156,plain,
% 15.64/10.45 (~node9(s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4155, 88, 4081])).
% 15.64/10.45 tff(4157,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4158,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4159,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4158, 4157])).
% 15.64/10.45 tff(4160,plain,
% 15.64/10.45 (~node10(s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4159, 249, 4081])).
% 15.64/10.45 tff(4161,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4162,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4163,plain,
% 15.64/10.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4162, 4161])).
% 15.64/10.45 tff(4164,plain,
% 15.64/10.45 (~node11(s46)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4163, 238, 4101])).
% 15.64/10.45 tff(4165,plain,
% 15.64/10.45 (((~![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))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4166,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4167,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4166, 4165])).
% 15.64/10.45 tff(4168,plain,
% 15.64/10.45 (node14(s46, s47)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4167, 46, 4112])).
% 15.64/10.45 tff(4169,plain,
% 15.64/10.45 (((~![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(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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4170,plain,
% 15.64/10.45 ((~![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(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4171,plain,
% 15.64/10.45 ((~![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(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4170, 4169])).
% 15.64/10.45 tff(4172,plain,
% 15.64/10.45 (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4171, 296, 4168])).
% 15.64/10.45 tff(4173,plain,
% 15.64/10.45 (node13(s46, s47)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4172, 4164, 4089, 4160, 4156, 4152, 4148])).
% 15.64/10.45 tff(4174,plain,
% 15.64/10.45 (((~![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(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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4175,plain,
% 15.64/10.45 (((~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)))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4176,plain,
% 15.64/10.45 (((~![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))))),
% 15.64/10.45 inference(monotonicity,[status(thm)],[4175])).
% 15.64/10.45 tff(4177,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.45 inference(transitivity,[status(thm)],[4176, 4174])).
% 15.64/10.45 tff(4178,plain,
% 15.64/10.45 ((~![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))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4179,plain,
% 15.64/10.45 ((~![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(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47))),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 15.64/10.45 tff(4180,plain,
% 15.64/10.45 (m_main_v_state2(s47, c_t2)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4179, 518, 4077, 4173])).
% 15.64/10.45 tff(4181,plain,
% 15.64/10.45 (succ(s47, s48) <=> succ(s47, s48)),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4182,axiom,(succ(s47, s48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound48')).
% 15.64/10.45 tff(4183,plain,
% 15.64/10.45 (succ(s47, s48)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4182, 4181])).
% 15.64/10.45 tff(4184,plain,
% 15.64/10.45 (((~![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))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4185,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4186,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 15.64/10.45 tff(4187,plain,
% 15.64/10.45 (trans(s47, s48)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4186, 4183, 32])).
% 15.64/10.45 tff(4188,plain,
% 15.64/10.45 (((~![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))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4189,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4190,plain,
% 15.64/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 15.64/10.45 tff(4191,plain,
% 15.64/10.45 (node7(s47, s48)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4190, 206, 4187])).
% 15.64/10.45 tff(4192,plain,
% 15.64/10.45 (((~![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(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))),
% 15.64/10.45 inference(rewrite,[status(thm)],[])).
% 15.64/10.45 tff(4193,plain,
% 15.64/10.45 ((~![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(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))),
% 15.64/10.45 inference(quant_inst,[status(thm)],[])).
% 15.64/10.45 tff(4194,plain,
% 15.64/10.45 ((~![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(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1)),
% 15.64/10.45 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 15.64/10.45 tff(4195,plain,
% 15.64/10.45 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_state1(s48, c_t1)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4194, 651, 4191])).
% 15.64/10.45 tff(4196,plain,
% 15.64/10.45 (m_main_v_state1(s48, c_t1)),
% 15.64/10.45 inference(unit_resolution,[status(thm)],[4195, 4180, 4124])).
% 15.64/10.45 tff(4197,plain,
% 15.64/10.45 (((~![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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4198,plain,
% 15.64/10.46 ((~![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)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4199,plain,
% 15.64/10.46 ((~![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))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 15.64/10.46 tff(4200,plain,
% 15.64/10.46 (~m_main_v_state1(s48, c_n1)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4199, 10, 4196])).
% 15.64/10.46 tff(4201,plain,
% 15.64/10.46 (((~![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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4202,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4203,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4202, 4201])).
% 15.64/10.46 tff(4204,plain,
% 15.64/10.46 (~node1(s48)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4203, 421, 4200])).
% 15.64/10.46 tff(4205,plain,
% 15.64/10.46 (((~![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))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4206,plain,
% 15.64/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4207,plain,
% 15.64/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48)),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4206, 4205])).
% 15.64/10.46 tff(4208,plain,
% 15.64/10.46 (node18(s47, s48)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4207, 125, 4187])).
% 15.64/10.46 tff(4209,plain,
% 15.64/10.46 (((~![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(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))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4210,plain,
% 15.64/10.46 ((~![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(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4211,plain,
% 15.64/10.46 ((~![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(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2)),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4210, 4209])).
% 15.64/10.46 tff(4212,plain,
% 15.64/10.46 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_turn(s48, c_2)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4211, 760, 4208])).
% 15.64/10.46 tff(4213,plain,
% 15.64/10.46 (m_main_v_turn(s48, c_2)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4212, 4180, 4124])).
% 15.64/10.46 tff(4214,plain,
% 15.64/10.46 (((~![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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4215,plain,
% 15.64/10.46 ((~![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)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4216,plain,
% 15.64/10.46 ((~![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))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4215, 4214])).
% 15.64/10.46 tff(4217,plain,
% 15.64/10.46 (~m_main_v_turn(s48, c_1)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4216, 156, 4213])).
% 15.64/10.46 tff(4218,plain,
% 15.64/10.46 (((~![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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4219,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4220,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4219, 4218])).
% 15.64/10.46 tff(4221,plain,
% 15.64/10.46 (~node5(s48)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4220, 776, 4217])).
% 15.64/10.46 tff(4222,plain,
% 15.64/10.46 (((~![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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4223,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4224,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4223, 4222])).
% 15.64/10.46 tff(4225,plain,
% 15.64/10.46 (~node2(s48)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4224, 787, 4200])).
% 15.64/10.46 tff(4226,plain,
% 15.64/10.46 (((~![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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4227,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4228,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 15.64/10.46 tff(4229,plain,
% 15.64/10.46 (~node3(s48)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4228, 798, 4200])).
% 15.64/10.46 tff(4230,plain,
% 15.64/10.46 (((~![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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4231,plain,
% 15.64/10.46 ((~![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)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4232,plain,
% 15.64/10.46 ((~![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))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4231, 4230])).
% 15.64/10.46 tff(4233,plain,
% 15.64/10.46 (~m_main_v_state1(s48, c_c1)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4232, 539, 4196])).
% 15.64/10.46 tff(4234,plain,
% 15.64/10.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4235,plain,
% 15.64/10.46 (((~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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4236,plain,
% 15.64/10.46 (((~![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))))),
% 15.64/10.46 inference(monotonicity,[status(thm)],[4235])).
% 15.64/10.46 tff(4237,plain,
% 15.64/10.46 (((~![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)))),
% 15.64/10.46 inference(transitivity,[status(thm)],[4236, 4234])).
% 15.64/10.46 tff(4238,plain,
% 15.64/10.46 ((~![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)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4239,plain,
% 15.64/10.46 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 15.64/10.46 tff(4240,plain,
% 15.64/10.46 (~m_main_v_state2(s47, c_n2)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4239, 311, 4081, 4173])).
% 15.64/10.46 tff(4241,plain,
% 15.64/10.46 (((~![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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4242,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4243,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 15.64/10.46 tff(4244,plain,
% 15.64/10.46 (~node9(s47)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4243, 88, 4240])).
% 15.64/10.46 tff(4245,plain,
% 15.64/10.46 (((~![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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4246,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4247,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 15.64/10.46 tff(4248,plain,
% 15.64/10.46 (~node10(s47)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4247, 249, 4240])).
% 15.64/10.46 tff(4249,plain,
% 15.64/10.46 (((~![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)))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4250,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4251,plain,
% 15.64/10.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47))),
% 15.64/10.46 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 15.64/10.46 tff(4252,plain,
% 15.64/10.46 (~node8(s47)),
% 15.64/10.46 inference(unit_resolution,[status(thm)],[4251, 271, 4240])).
% 15.64/10.46 tff(4253,plain,
% 15.64/10.46 (((~![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))),
% 15.64/10.46 inference(rewrite,[status(thm)],[])).
% 15.64/10.46 tff(4254,plain,
% 15.64/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))),
% 15.64/10.46 inference(quant_inst,[status(thm)],[])).
% 15.64/10.46 tff(4255,plain,
% 15.64/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48)),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 15.66/10.46 tff(4256,plain,
% 15.66/10.46 (node14(s47, s48)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4255, 46, 4187])).
% 15.66/10.46 tff(4257,plain,
% 15.66/10.46 (((~![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(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))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4258,plain,
% 15.66/10.46 ((~![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(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))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4259,plain,
% 15.66/10.46 ((~![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(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)),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 15.66/10.46 tff(4260,plain,
% 15.66/10.46 ((~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)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4259, 617, 4256])).
% 15.66/10.46 tff(4261,plain,
% 15.66/10.46 (m_main_v_state2(s48, c_c2)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4260, 4252, 4124, 4180, 4248, 4244])).
% 15.66/10.46 tff(4262,plain,
% 15.66/10.46 (((~![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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4263,plain,
% 15.66/10.46 ((~![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)))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4264,plain,
% 15.66/10.46 ((~![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))),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4263, 4262])).
% 15.66/10.46 tff(4265,plain,
% 15.66/10.46 (~m_main_v_state2(s48, c_n2)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4264, 697, 4261])).
% 15.66/10.46 tff(4266,plain,
% 15.66/10.46 (((~![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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4267,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4268,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48))),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4267, 4266])).
% 15.66/10.46 tff(4269,plain,
% 15.66/10.46 (~node4(s48)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4268, 388, 4265])).
% 15.66/10.46 tff(4270,plain,
% 15.66/10.46 (succ(s48, s49) <=> succ(s48, s49)),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4271,axiom,(succ(s48, s49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound49')).
% 15.66/10.46 tff(4272,plain,
% 15.66/10.46 (succ(s48, s49)),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 15.66/10.46 tff(4273,plain,
% 15.66/10.46 (((~![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))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4274,plain,
% 15.66/10.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4275,plain,
% 15.66/10.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4274, 4273])).
% 15.66/10.46 tff(4276,plain,
% 15.66/10.46 (trans(s48, s49)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4275, 4272, 32])).
% 15.66/10.46 tff(4277,plain,
% 15.66/10.46 (((~![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))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4278,plain,
% 15.66/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4279,plain,
% 15.66/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49)),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4278, 4277])).
% 15.66/10.46 tff(4280,plain,
% 15.66/10.46 (node7(s48, s49)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4279, 206, 4276])).
% 15.66/10.46 tff(4281,plain,
% 15.66/10.46 (((~![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(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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4282,plain,
% 15.66/10.46 ((~![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(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4283,plain,
% 15.66/10.46 ((~![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(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49))),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4282, 4281])).
% 15.66/10.46 tff(4284,plain,
% 15.66/10.46 (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4283, 820, 4280])).
% 15.66/10.46 tff(4285,plain,
% 15.66/10.46 (node6(s48, s49)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4284, 4269, 4233, 4229, 4225, 4221, 4204])).
% 15.66/10.46 tff(4286,plain,
% 15.66/10.46 (((~![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(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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4287,plain,
% 15.66/10.46 (((~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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4288,plain,
% 15.66/10.46 (((~![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))))),
% 15.66/10.46 inference(monotonicity,[status(thm)],[4287])).
% 15.66/10.46 tff(4289,plain,
% 15.66/10.46 (((~![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)))),
% 15.66/10.46 inference(transitivity,[status(thm)],[4288, 4286])).
% 15.66/10.46 tff(4290,plain,
% 15.66/10.46 ((~![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))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4291,plain,
% 15.66/10.46 ((~![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(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49))),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4290, 4289])).
% 15.66/10.46 tff(4292,plain,
% 15.66/10.46 (m_main_v_state1(s49, c_t1)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4291, 856, 4196, 4285])).
% 15.66/10.46 tff(4293,plain,
% 15.66/10.46 (((~![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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4294,plain,
% 15.66/10.46 ((~![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)))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4295,plain,
% 15.66/10.46 ((~![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))),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4294, 4293])).
% 15.66/10.46 tff(4296,plain,
% 15.66/10.46 (~m_main_v_state2(s48, c_t2)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4295, 260, 4261])).
% 15.66/10.46 tff(4297,plain,
% 15.66/10.46 (((~![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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4298,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4299,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48))),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4298, 4297])).
% 15.66/10.46 tff(4300,plain,
% 15.66/10.46 (~node12(s48)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4299, 633, 4296])).
% 15.66/10.46 tff(4301,plain,
% 15.66/10.46 (((~![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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4302,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4303,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48))),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 15.66/10.46 tff(4304,plain,
% 15.66/10.46 (~node11(s48)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4303, 238, 4200])).
% 15.66/10.46 tff(4305,plain,
% 15.66/10.46 (((~![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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4306,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4307,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48))),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 15.66/10.46 tff(4308,plain,
% 15.66/10.46 (~node10(s48)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4307, 675, 4233])).
% 15.66/10.46 tff(4309,plain,
% 15.66/10.46 (((~![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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4310,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4311,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48))),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 15.66/10.46 tff(4312,plain,
% 15.66/10.46 (~node9(s48)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4311, 686, 4200])).
% 15.66/10.46 tff(4313,plain,
% 15.66/10.46 (((~![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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4314,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4315,plain,
% 15.66/10.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48))),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 15.66/10.46 tff(4316,plain,
% 15.66/10.46 (~node8(s48)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4315, 271, 4265])).
% 15.66/10.46 tff(4317,plain,
% 15.66/10.46 (((~![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))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4318,plain,
% 15.66/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))),
% 15.66/10.46 inference(quant_inst,[status(thm)],[])).
% 15.66/10.46 tff(4319,plain,
% 15.66/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49)),
% 15.66/10.46 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 15.66/10.46 tff(4320,plain,
% 15.66/10.46 (node14(s48, s49)),
% 15.66/10.46 inference(unit_resolution,[status(thm)],[4319, 46, 4276])).
% 15.66/10.46 tff(4321,plain,
% 15.66/10.46 (((~![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(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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4322,plain,
% 15.66/10.46 (((~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)))),
% 15.66/10.46 inference(rewrite,[status(thm)],[])).
% 15.66/10.46 tff(4323,plain,
% 15.66/10.46 (((~![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(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))))),
% 15.66/10.46 inference(monotonicity,[status(thm)],[4322])).
% 15.66/10.46 tff(4324,plain,
% 15.66/10.46 (((~![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(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)))),
% 15.66/10.47 inference(transitivity,[status(thm)],[4323, 4321])).
% 15.66/10.47 tff(4325,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4326,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4325, 4324])).
% 15.66/10.47 tff(4327,plain,
% 15.66/10.47 (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~m_main_v_state2(s48, c_c2))),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4326, 726, 4320])).
% 15.66/10.47 tff(4328,plain,
% 15.66/10.47 (m_main_v_state2(s49, c_n2)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4327, 4316, 4261, 4312, 4308, 4304, 4300])).
% 15.66/10.47 tff(4329,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4330,plain,
% 15.66/10.47 ((~![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)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4331,plain,
% 15.66/10.47 ((~![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))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4330, 4329])).
% 15.66/10.47 tff(4332,plain,
% 15.66/10.47 (~m_main_v_state2(s49, c_t2)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4331, 77, 4328])).
% 15.66/10.47 tff(4333,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4334,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4335,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 15.66/10.47 tff(4336,plain,
% 15.66/10.47 (~node15(s49)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4335, 103, 4332])).
% 15.66/10.47 tff(4337,plain,
% 15.66/10.47 (succ(s49, s50) <=> succ(s49, s50)),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4338,axiom,(succ(s49, s50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound50')).
% 15.66/10.47 tff(4339,plain,
% 15.66/10.47 (succ(s49, s50)),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 15.66/10.47 tff(4340,plain,
% 15.66/10.47 (((~![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))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4341,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4342,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 15.66/10.47 tff(4343,plain,
% 15.66/10.47 (trans(s49, s50)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4342, 4339, 32])).
% 15.66/10.47 tff(4344,plain,
% 15.66/10.47 (((~![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))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4345,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4346,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50)),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 15.66/10.47 tff(4347,plain,
% 15.66/10.47 (node18(s49, s50)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4346, 125, 4343])).
% 15.66/10.47 tff(4348,plain,
% 15.66/10.47 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4349,plain,
% 15.66/10.47 (((~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))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4350,plain,
% 15.66/10.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 15.66/10.47 inference(monotonicity,[status(thm)],[4349])).
% 15.66/10.47 tff(4351,plain,
% 15.66/10.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 15.66/10.47 inference(transitivity,[status(thm)],[4350, 4348])).
% 15.66/10.47 tff(4352,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4353,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4352, 4351])).
% 15.66/10.47 tff(4354,plain,
% 15.66/10.47 (node15(s49) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4353, 992, 4347])).
% 15.66/10.47 tff(4355,plain,
% 15.66/10.47 (m_main_v_turn(s50, c_1)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4354, 4336, 4328, 4292])).
% 15.66/10.47 tff(4356,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4357,plain,
% 15.66/10.47 ((~![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)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4358,plain,
% 15.66/10.47 ((~![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))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 15.66/10.47 tff(4359,plain,
% 15.66/10.47 (~m_main_v_turn(s50, c_2)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4358, 156, 4355])).
% 15.66/10.47 tff(4360,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4361,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4362,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 15.66/10.47 tff(4363,plain,
% 15.66/10.47 (~node12(s50)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4362, 184, 4359])).
% 15.66/10.47 tff(4364,plain,
% 15.66/10.47 (((~![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))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4365,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4366,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50)),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 15.66/10.47 tff(4367,plain,
% 15.66/10.47 (node14(s49, s50)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4366, 46, 4343])).
% 15.66/10.47 tff(4368,plain,
% 15.66/10.47 (((~![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(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))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4369,plain,
% 15.66/10.47 ((~![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(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4370,plain,
% 15.66/10.47 ((~![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(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2)),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4369, 4368])).
% 15.66/10.47 tff(4371,plain,
% 15.66/10.47 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state2(s50, c_t2)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4370, 922, 4367])).
% 15.66/10.47 tff(4372,plain,
% 15.66/10.47 (m_main_v_state2(s50, c_t2)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4371, 4292, 4328])).
% 15.66/10.47 tff(4373,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4374,plain,
% 15.66/10.47 ((~![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)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4375,plain,
% 15.66/10.47 ((~![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))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4374, 4373])).
% 15.66/10.47 tff(4376,plain,
% 15.66/10.47 (~m_main_v_state2(s50, c_n2)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4375, 77, 4372])).
% 15.66/10.47 tff(4377,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4378,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4379,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 15.66/10.47 tff(4380,plain,
% 15.66/10.47 (~node8(s50)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4379, 271, 4376])).
% 15.66/10.47 tff(4381,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4382,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4383,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4382, 4381])).
% 15.66/10.47 tff(4384,plain,
% 15.66/10.47 (~node9(s50)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4383, 88, 4376])).
% 15.66/10.47 tff(4385,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4386,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4387,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4386, 4385])).
% 15.66/10.47 tff(4388,plain,
% 15.66/10.47 (~node10(s50)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4387, 249, 4376])).
% 15.66/10.47 tff(4389,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4390,plain,
% 15.66/10.47 ((~![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)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4391,plain,
% 15.66/10.47 ((~![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))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 15.66/10.47 tff(4392,plain,
% 15.66/10.47 (~m_main_v_state2(s50, c_c2)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4391, 260, 4372])).
% 15.66/10.47 tff(4393,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4394,plain,
% 15.66/10.47 ((~![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)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4395,plain,
% 15.66/10.47 ((~![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))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 15.66/10.47 tff(4396,plain,
% 15.66/10.47 (~m_main_v_state2(s49, c_c2)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4395, 697, 4328])).
% 15.66/10.47 tff(4397,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4398,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4399,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4398, 4397])).
% 15.66/10.47 tff(4400,plain,
% 15.66/10.47 (~node3(s49)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4399, 399, 4396])).
% 15.66/10.47 tff(4401,plain,
% 15.66/10.47 (((~![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(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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4402,plain,
% 15.66/10.47 (((~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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4403,plain,
% 15.66/10.47 (((~![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))))),
% 15.66/10.47 inference(monotonicity,[status(thm)],[4402])).
% 15.66/10.47 tff(4404,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(transitivity,[status(thm)],[4403, 4401])).
% 15.66/10.47 tff(4405,plain,
% 15.66/10.47 ((~![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)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4406,plain,
% 15.66/10.47 ((~![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(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 15.66/10.47 tff(4407,plain,
% 15.66/10.47 (~m_main_v_state1(s49, c_n1)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4406, 835, 4200, 4285])).
% 15.66/10.47 tff(4408,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4409,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4410,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 15.66/10.47 tff(4411,plain,
% 15.66/10.47 (~node2(s49)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4410, 787, 4407])).
% 15.66/10.47 tff(4412,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4413,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4414,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 15.66/10.47 tff(4415,plain,
% 15.66/10.47 (~node1(s49)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4414, 195, 4332])).
% 15.66/10.47 tff(4416,plain,
% 15.66/10.47 (((~![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))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4417,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4418,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50)),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 15.66/10.47 tff(4419,plain,
% 15.66/10.47 (node7(s49, s50)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4418, 206, 4343])).
% 15.66/10.47 tff(4420,plain,
% 15.66/10.47 (((~![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(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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4421,plain,
% 15.66/10.47 (((~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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4422,plain,
% 15.66/10.47 (((~![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(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))))),
% 15.66/10.47 inference(monotonicity,[status(thm)],[4421])).
% 15.66/10.47 tff(4423,plain,
% 15.66/10.47 (((~![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(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)))),
% 15.66/10.47 inference(transitivity,[status(thm)],[4422, 4420])).
% 15.66/10.47 tff(4424,plain,
% 15.66/10.47 ((~![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(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))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4425,plain,
% 15.66/10.47 ((~![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(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))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 15.66/10.47 tff(4426,plain,
% 15.66/10.47 ((~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)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4425, 892, 4419])).
% 15.66/10.47 tff(4427,plain,
% 15.66/10.47 (m_main_v_state1(s50, c_c1)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4426, 4415, 4328, 4292, 4411, 4400])).
% 15.66/10.47 tff(4428,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4429,plain,
% 15.66/10.47 ((~![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)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4430,plain,
% 15.66/10.47 ((~![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))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 15.66/10.47 tff(4431,plain,
% 15.66/10.47 (~m_main_v_state1(s50, c_n1)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4430, 454, 4427])).
% 15.66/10.47 tff(4432,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4433,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4434,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4433, 4432])).
% 15.66/10.47 tff(4435,plain,
% 15.66/10.47 (~node11(s50)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4434, 238, 4431])).
% 15.66/10.47 tff(4436,plain,
% 15.66/10.47 (succ(s50, s51) <=> succ(s50, s51)),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4437,axiom,(succ(s50, s51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound51')).
% 15.66/10.47 tff(4438,plain,
% 15.66/10.47 (succ(s50, s51)),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 15.66/10.47 tff(4439,plain,
% 15.66/10.47 (((~![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))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4440,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4441,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 15.66/10.47 tff(4442,plain,
% 15.66/10.47 (trans(s50, s51)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4441, 4438, 32])).
% 15.66/10.47 tff(4443,plain,
% 15.66/10.47 (((~![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))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4444,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4445,plain,
% 15.66/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51)),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 15.66/10.47 tff(4446,plain,
% 15.66/10.47 (node14(s50, s51)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4445, 46, 4442])).
% 15.66/10.47 tff(4447,plain,
% 15.66/10.47 (((~![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(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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4448,plain,
% 15.66/10.47 ((~![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(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4449,plain,
% 15.66/10.47 ((~![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(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4448, 4447])).
% 15.66/10.47 tff(4450,plain,
% 15.66/10.47 (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4449, 296, 4446])).
% 15.66/10.47 tff(4451,plain,
% 15.66/10.47 (node13(s50, s51)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4450, 4435, 4392, 4388, 4384, 4380, 4363])).
% 15.66/10.47 tff(4452,plain,
% 15.66/10.47 (((~![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(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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4453,plain,
% 15.66/10.47 (((~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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4454,plain,
% 15.66/10.47 (((~![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))))),
% 15.66/10.47 inference(monotonicity,[status(thm)],[4453])).
% 15.66/10.47 tff(4455,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(transitivity,[status(thm)],[4454, 4452])).
% 15.66/10.47 tff(4456,plain,
% 15.66/10.47 ((~![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)))),
% 15.66/10.47 inference(quant_inst,[status(thm)],[])).
% 15.66/10.47 tff(4457,plain,
% 15.66/10.47 ((~![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(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51))),
% 15.66/10.47 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 15.66/10.47 tff(4458,plain,
% 15.66/10.47 (~m_main_v_state2(s51, c_n2)),
% 15.66/10.47 inference(unit_resolution,[status(thm)],[4457, 311, 4376, 4451])).
% 15.66/10.47 tff(4459,plain,
% 15.66/10.47 (((~![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)))),
% 15.66/10.47 inference(rewrite,[status(thm)],[])).
% 15.66/10.47 tff(4460,plain,
% 15.66/10.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4461,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 15.66/10.48 tff(4462,plain,
% 15.66/10.48 (~node9(s51)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4461, 88, 4458])).
% 15.66/10.48 tff(4463,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4464,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4465,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 15.66/10.48 tff(4466,plain,
% 15.66/10.48 (~node10(s51)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4465, 249, 4458])).
% 15.66/10.48 tff(4467,plain,
% 15.66/10.48 (((~![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(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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4468,plain,
% 15.66/10.48 (((~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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4469,plain,
% 15.66/10.48 (((~![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))))),
% 15.66/10.48 inference(monotonicity,[status(thm)],[4468])).
% 15.66/10.48 tff(4470,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(transitivity,[status(thm)],[4469, 4467])).
% 15.66/10.48 tff(4471,plain,
% 15.66/10.48 ((~![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))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4472,plain,
% 15.66/10.48 ((~![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(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4471, 4470])).
% 15.66/10.48 tff(4473,plain,
% 15.66/10.48 (m_main_v_state2(s51, c_t2)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4472, 518, 4372, 4451])).
% 15.66/10.48 tff(4474,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4475,plain,
% 15.66/10.48 ((~![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)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4476,plain,
% 15.66/10.48 ((~![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))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 15.66/10.48 tff(4477,plain,
% 15.66/10.48 (~m_main_v_state1(s50, c_t1)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4476, 539, 4427])).
% 15.66/10.48 tff(4478,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4479,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4480,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 15.66/10.48 tff(4481,plain,
% 15.66/10.48 (~node5(s50)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4480, 550, 4477])).
% 15.66/10.48 tff(4482,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4483,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4484,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4483, 4482])).
% 15.66/10.48 tff(4485,plain,
% 15.66/10.48 (~node4(s50)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4484, 388, 4376])).
% 15.66/10.48 tff(4486,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4487,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4488,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4487, 4486])).
% 15.66/10.48 tff(4489,plain,
% 15.66/10.48 (~node3(s50)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4488, 399, 4392])).
% 15.66/10.48 tff(4490,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4491,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4492,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 15.66/10.48 tff(4493,plain,
% 15.66/10.48 (~node2(s50)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4492, 410, 4376])).
% 15.66/10.48 tff(4494,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4495,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4496,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 15.66/10.48 tff(4497,plain,
% 15.66/10.48 (~node1(s50)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4496, 421, 4431])).
% 15.66/10.48 tff(4498,plain,
% 15.66/10.48 (((~![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))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4499,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4500,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51)),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 15.66/10.48 tff(4501,plain,
% 15.66/10.48 (node7(s50, s51)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4500, 206, 4442])).
% 15.66/10.48 tff(4502,plain,
% 15.66/10.48 (((~![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(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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4503,plain,
% 15.66/10.48 (((~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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4504,plain,
% 15.66/10.48 (((~![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(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))))),
% 15.66/10.48 inference(monotonicity,[status(thm)],[4503])).
% 15.66/10.48 tff(4505,plain,
% 15.66/10.48 (((~![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(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)))),
% 15.66/10.48 inference(transitivity,[status(thm)],[4504, 4502])).
% 15.66/10.48 tff(4506,plain,
% 15.66/10.48 ((~![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(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4507,plain,
% 15.66/10.48 ((~![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(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 15.66/10.48 tff(4508,plain,
% 15.66/10.48 (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4507, 584, 4501])).
% 15.66/10.48 tff(4509,plain,
% 15.66/10.48 (m_main_v_state1(s51, c_n1)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4508, 4497, 4427, 4493, 4489, 4485, 4481])).
% 15.66/10.48 tff(4510,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4511,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4512,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4511, 4510])).
% 15.66/10.48 tff(4513,plain,
% 15.66/10.48 (~node8(s51)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4512, 271, 4458])).
% 15.66/10.48 tff(4514,plain,
% 15.66/10.48 (succ(s51, s52) <=> succ(s51, s52)),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4515,axiom,(succ(s51, s52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound52')).
% 15.66/10.48 tff(4516,plain,
% 15.66/10.48 (succ(s51, s52)),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 15.66/10.48 tff(4517,plain,
% 15.66/10.48 (((~![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))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4518,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4519,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4518, 4517])).
% 15.66/10.48 tff(4520,plain,
% 15.66/10.48 (trans(s51, s52)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4519, 4516, 32])).
% 15.66/10.48 tff(4521,plain,
% 15.66/10.48 (((~![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))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4522,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4523,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52)),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4522, 4521])).
% 15.66/10.48 tff(4524,plain,
% 15.66/10.48 (node14(s51, s52)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4523, 46, 4520])).
% 15.66/10.48 tff(4525,plain,
% 15.66/10.48 (((~![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(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))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4526,plain,
% 15.66/10.48 ((~![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(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))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4527,plain,
% 15.66/10.48 ((~![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(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)),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 15.66/10.48 tff(4528,plain,
% 15.66/10.48 ((~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)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4527, 617, 4524])).
% 15.66/10.48 tff(4529,plain,
% 15.66/10.48 (m_main_v_state2(s52, c_c2)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4528, 4513, 4509, 4473, 4466, 4462])).
% 15.66/10.48 tff(4530,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4531,plain,
% 15.66/10.48 ((~![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)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4532,plain,
% 15.66/10.48 ((~![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))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 15.66/10.48 tff(4533,plain,
% 15.66/10.48 (~m_main_v_state2(s52, c_t2)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4532, 260, 4529])).
% 15.66/10.48 tff(4534,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4535,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4536,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4535, 4534])).
% 15.66/10.48 tff(4537,plain,
% 15.66/10.48 (~node12(s52)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4536, 633, 4533])).
% 15.66/10.48 tff(4538,plain,
% 15.66/10.48 (((~![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))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4539,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4540,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52)),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4539, 4538])).
% 15.66/10.48 tff(4541,plain,
% 15.66/10.48 (node7(s51, s52)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4540, 206, 4520])).
% 15.66/10.48 tff(4542,plain,
% 15.66/10.48 (((~![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(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))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4543,plain,
% 15.66/10.48 ((~![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(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4544,plain,
% 15.66/10.48 ((~![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(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1)),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4543, 4542])).
% 15.66/10.48 tff(4545,plain,
% 15.66/10.48 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_state1(s52, c_t1)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4544, 651, 4541])).
% 15.66/10.48 tff(4546,plain,
% 15.66/10.48 (m_main_v_state1(s52, c_t1)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4545, 4473, 4509])).
% 15.66/10.48 tff(4547,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4548,plain,
% 15.66/10.48 ((~![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)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4549,plain,
% 15.66/10.48 ((~![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))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 15.66/10.48 tff(4550,plain,
% 15.66/10.48 (~m_main_v_state1(s52, c_n1)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4549, 10, 4546])).
% 15.66/10.48 tff(4551,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4552,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4553,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 15.66/10.48 tff(4554,plain,
% 15.66/10.48 (~node11(s52)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4553, 238, 4550])).
% 15.66/10.48 tff(4555,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4556,plain,
% 15.66/10.48 ((~![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)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4557,plain,
% 15.66/10.48 ((~![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))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 15.66/10.48 tff(4558,plain,
% 15.66/10.48 (~m_main_v_state1(s52, c_c1)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4557, 539, 4546])).
% 15.66/10.48 tff(4559,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4560,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4561,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 15.66/10.48 tff(4562,plain,
% 15.66/10.48 (~node10(s52)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4561, 675, 4558])).
% 15.66/10.48 tff(4563,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4564,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4565,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 15.66/10.48 tff(4566,plain,
% 15.66/10.48 (~node9(s52)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4565, 686, 4550])).
% 15.66/10.48 tff(4567,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4568,plain,
% 15.66/10.48 ((~![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)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4569,plain,
% 15.66/10.48 ((~![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))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 15.66/10.48 tff(4570,plain,
% 15.66/10.48 (~m_main_v_state2(s52, c_n2)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4569, 697, 4529])).
% 15.66/10.48 tff(4571,plain,
% 15.66/10.48 (((~![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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4572,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4573,plain,
% 15.66/10.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52))),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 15.66/10.48 tff(4574,plain,
% 15.66/10.48 (~node8(s52)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4573, 271, 4570])).
% 15.66/10.48 tff(4575,plain,
% 15.66/10.48 (succ(s52, s53) <=> succ(s52, s53)),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4576,axiom,(succ(s52, s53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound53')).
% 15.66/10.48 tff(4577,plain,
% 15.66/10.48 (succ(s52, s53)),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 15.66/10.48 tff(4578,plain,
% 15.66/10.48 (((~![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))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4579,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4580,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4579, 4578])).
% 15.66/10.48 tff(4581,plain,
% 15.66/10.48 (trans(s52, s53)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4580, 4577, 32])).
% 15.66/10.48 tff(4582,plain,
% 15.66/10.48 (((~![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))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4583,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))),
% 15.66/10.48 inference(quant_inst,[status(thm)],[])).
% 15.66/10.48 tff(4584,plain,
% 15.66/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53)),
% 15.66/10.48 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 15.66/10.48 tff(4585,plain,
% 15.66/10.48 (node14(s52, s53)),
% 15.66/10.48 inference(unit_resolution,[status(thm)],[4584, 46, 4581])).
% 15.66/10.48 tff(4586,plain,
% 15.66/10.48 (((~![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(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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4587,plain,
% 15.66/10.48 (((~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)))),
% 15.66/10.48 inference(rewrite,[status(thm)],[])).
% 15.66/10.48 tff(4588,plain,
% 15.66/10.48 (((~![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(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))))),
% 15.66/10.49 inference(monotonicity,[status(thm)],[4587])).
% 15.66/10.49 tff(4589,plain,
% 15.66/10.49 (((~![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(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)))),
% 15.66/10.49 inference(transitivity,[status(thm)],[4588, 4586])).
% 15.66/10.49 tff(4590,plain,
% 15.66/10.49 ((~![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(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4591,plain,
% 15.66/10.49 ((~![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(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4590, 4589])).
% 15.66/10.49 tff(4592,plain,
% 15.66/10.49 (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~m_main_v_state2(s52, c_c2))),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4591, 726, 4585])).
% 15.66/10.49 tff(4593,plain,
% 15.66/10.49 (m_main_v_state2(s53, c_n2)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4592, 4574, 4529, 4566, 4562, 4554, 4537])).
% 15.66/10.49 tff(4594,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4595,plain,
% 15.66/10.49 ((~![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)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4596,plain,
% 15.66/10.49 ((~![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))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 15.66/10.49 tff(4597,plain,
% 15.66/10.49 (~m_main_v_state2(s53, c_c2)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4596, 697, 4593])).
% 15.66/10.49 tff(4598,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4599,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4600,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 15.66/10.49 tff(4601,plain,
% 15.66/10.49 (~node3(s53)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4600, 399, 4597])).
% 15.66/10.49 tff(4602,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4603,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4604,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4603, 4602])).
% 15.66/10.49 tff(4605,plain,
% 15.66/10.49 (~node1(s52)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4604, 421, 4550])).
% 15.66/10.49 tff(4606,plain,
% 15.66/10.49 (((~![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))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4607,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4608,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52)),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4607, 4606])).
% 15.66/10.49 tff(4609,plain,
% 15.66/10.49 (node18(s51, s52)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4608, 125, 4520])).
% 15.66/10.49 tff(4610,plain,
% 15.66/10.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4611,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4612,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 15.66/10.49 tff(4613,plain,
% 15.66/10.49 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_turn(s52, c_2)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4612, 760, 4609])).
% 15.66/10.49 tff(4614,plain,
% 15.66/10.49 (m_main_v_turn(s52, c_2)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4613, 4473, 4509])).
% 15.66/10.49 tff(4615,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4616,plain,
% 15.66/10.49 ((~![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)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4617,plain,
% 15.66/10.49 ((~![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))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 15.66/10.49 tff(4618,plain,
% 15.66/10.49 (~m_main_v_turn(s52, c_1)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4617, 156, 4614])).
% 15.66/10.49 tff(4619,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4620,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4621,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 15.66/10.49 tff(4622,plain,
% 15.66/10.49 (~node5(s52)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4621, 776, 4618])).
% 15.66/10.49 tff(4623,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4624,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4625,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 15.66/10.49 tff(4626,plain,
% 15.66/10.49 (~node2(s52)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4625, 787, 4550])).
% 15.66/10.49 tff(4627,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4628,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4629,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4628, 4627])).
% 15.66/10.49 tff(4630,plain,
% 15.66/10.49 (~node3(s52)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4629, 798, 4550])).
% 15.66/10.49 tff(4631,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4632,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4633,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 15.66/10.49 tff(4634,plain,
% 15.66/10.49 (~node4(s52)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4633, 388, 4570])).
% 15.66/10.49 tff(4635,plain,
% 15.66/10.49 (((~![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))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4636,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4637,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53)),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4636, 4635])).
% 15.66/10.49 tff(4638,plain,
% 15.66/10.49 (node7(s52, s53)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4637, 206, 4581])).
% 15.66/10.49 tff(4639,plain,
% 15.66/10.49 (((~![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(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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4640,plain,
% 15.66/10.49 ((~![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(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4641,plain,
% 15.66/10.49 ((~![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(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4640, 4639])).
% 15.66/10.49 tff(4642,plain,
% 15.66/10.49 (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4641, 820, 4638])).
% 15.66/10.49 tff(4643,plain,
% 15.66/10.49 (node6(s52, s53)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4642, 4634, 4558, 4630, 4626, 4622, 4605])).
% 15.66/10.49 tff(4644,plain,
% 15.66/10.49 (((~![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(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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4645,plain,
% 15.66/10.49 (((~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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4646,plain,
% 15.66/10.49 (((~![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))))),
% 15.66/10.49 inference(monotonicity,[status(thm)],[4645])).
% 15.66/10.49 tff(4647,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(transitivity,[status(thm)],[4646, 4644])).
% 15.66/10.49 tff(4648,plain,
% 15.66/10.49 ((~![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)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4649,plain,
% 15.66/10.49 ((~![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(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 15.66/10.49 tff(4650,plain,
% 15.66/10.49 (~m_main_v_state1(s53, c_n1)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4649, 835, 4550, 4643])).
% 15.66/10.49 tff(4651,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4652,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4653,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 15.66/10.49 tff(4654,plain,
% 15.66/10.49 (~node2(s53)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4653, 787, 4650])).
% 15.66/10.49 tff(4655,plain,
% 15.66/10.49 (((~![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(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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4656,plain,
% 15.66/10.49 (((~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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4657,plain,
% 15.66/10.49 (((~![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))))),
% 15.66/10.49 inference(monotonicity,[status(thm)],[4656])).
% 15.66/10.49 tff(4658,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(transitivity,[status(thm)],[4657, 4655])).
% 15.66/10.49 tff(4659,plain,
% 15.66/10.49 ((~![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))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4660,plain,
% 15.66/10.49 ((~![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(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 15.66/10.49 tff(4661,plain,
% 15.66/10.49 (m_main_v_state1(s53, c_t1)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4660, 856, 4546, 4643])).
% 15.66/10.49 tff(4662,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4663,plain,
% 15.66/10.49 ((~![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)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4664,plain,
% 15.66/10.49 ((~![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))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4663, 4662])).
% 15.66/10.49 tff(4665,plain,
% 15.66/10.49 (~m_main_v_state2(s53, c_t2)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4664, 77, 4593])).
% 15.66/10.49 tff(4666,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4667,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4668,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4667, 4666])).
% 15.66/10.49 tff(4669,plain,
% 15.66/10.49 (~node1(s53)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4668, 195, 4665])).
% 15.66/10.49 tff(4670,plain,
% 15.66/10.49 (succ(s53, s54) <=> succ(s53, s54)),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4671,axiom,(succ(s53, s54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound54')).
% 15.66/10.49 tff(4672,plain,
% 15.66/10.49 (succ(s53, s54)),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 15.66/10.49 tff(4673,plain,
% 15.66/10.49 (((~![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))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4674,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4675,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4674, 4673])).
% 15.66/10.49 tff(4676,plain,
% 15.66/10.49 (trans(s53, s54)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4675, 4672, 32])).
% 15.66/10.49 tff(4677,plain,
% 15.66/10.49 (((~![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))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4678,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4679,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54)),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4678, 4677])).
% 15.66/10.49 tff(4680,plain,
% 15.66/10.49 (node7(s53, s54)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4679, 206, 4676])).
% 15.66/10.49 tff(4681,plain,
% 15.66/10.49 (((~![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(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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4682,plain,
% 15.66/10.49 (((~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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4683,plain,
% 15.66/10.49 (((~![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(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))))),
% 15.66/10.49 inference(monotonicity,[status(thm)],[4682])).
% 15.66/10.49 tff(4684,plain,
% 15.66/10.49 (((~![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(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)))),
% 15.66/10.49 inference(transitivity,[status(thm)],[4683, 4681])).
% 15.66/10.49 tff(4685,plain,
% 15.66/10.49 ((~![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(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))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4686,plain,
% 15.66/10.49 ((~![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(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))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4685, 4684])).
% 15.66/10.49 tff(4687,plain,
% 15.66/10.49 ((~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)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4686, 892, 4680])).
% 15.66/10.49 tff(4688,plain,
% 15.66/10.49 (m_main_v_state1(s54, c_c1)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4687, 4669, 4593, 4661, 4654, 4601])).
% 15.66/10.49 tff(4689,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4690,plain,
% 15.66/10.49 ((~![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)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4691,plain,
% 15.66/10.49 ((~![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))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4690, 4689])).
% 15.66/10.49 tff(4692,plain,
% 15.66/10.49 (~m_main_v_state1(s54, c_t1)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4691, 539, 4688])).
% 15.66/10.49 tff(4693,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4694,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4695,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4694, 4693])).
% 15.66/10.49 tff(4696,plain,
% 15.66/10.49 (~node5(s54)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4695, 550, 4692])).
% 15.66/10.49 tff(4697,plain,
% 15.66/10.49 (((~![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))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4698,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4699,plain,
% 15.66/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54)),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 15.66/10.49 tff(4700,plain,
% 15.66/10.49 (node14(s53, s54)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4699, 46, 4676])).
% 15.66/10.49 tff(4701,plain,
% 15.66/10.49 (((~![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(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))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4702,plain,
% 15.66/10.49 ((~![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(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4703,plain,
% 15.66/10.49 ((~![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(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2)),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4702, 4701])).
% 15.66/10.49 tff(4704,plain,
% 15.66/10.49 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state2(s54, c_t2)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4703, 922, 4700])).
% 15.66/10.49 tff(4705,plain,
% 15.66/10.49 (m_main_v_state2(s54, c_t2)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4704, 4661, 4593])).
% 15.66/10.49 tff(4706,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4707,plain,
% 15.66/10.49 ((~![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)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4708,plain,
% 15.66/10.49 ((~![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))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4707, 4706])).
% 15.66/10.49 tff(4709,plain,
% 15.66/10.49 (~m_main_v_state2(s54, c_n2)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4708, 77, 4705])).
% 15.66/10.49 tff(4710,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4711,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4712,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 15.66/10.49 tff(4713,plain,
% 15.66/10.49 (~node4(s54)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4712, 388, 4709])).
% 15.66/10.49 tff(4714,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4715,plain,
% 15.66/10.49 ((~![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)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4716,plain,
% 15.66/10.49 ((~![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))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 15.66/10.49 tff(4717,plain,
% 15.66/10.49 (~m_main_v_state2(s54, c_c2)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4716, 260, 4705])).
% 15.66/10.49 tff(4718,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4719,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4720,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 15.66/10.49 tff(4721,plain,
% 15.66/10.49 (~node3(s54)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4720, 399, 4717])).
% 15.66/10.49 tff(4722,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.49 inference(rewrite,[status(thm)],[])).
% 15.66/10.49 tff(4723,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 15.66/10.49 inference(quant_inst,[status(thm)],[])).
% 15.66/10.49 tff(4724,plain,
% 15.66/10.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54))),
% 15.66/10.49 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 15.66/10.49 tff(4725,plain,
% 15.66/10.49 (~node2(s54)),
% 15.66/10.49 inference(unit_resolution,[status(thm)],[4724, 410, 4709])).
% 15.66/10.49 tff(4726,plain,
% 15.66/10.49 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4727,plain,
% 15.66/10.50 ((~![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)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4728,plain,
% 15.66/10.50 ((~![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))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 15.66/10.50 tff(4729,plain,
% 15.66/10.50 (~m_main_v_state1(s54, c_n1)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4728, 454, 4688])).
% 15.66/10.50 tff(4730,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4731,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4732,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 15.66/10.50 tff(4733,plain,
% 15.66/10.50 (~node1(s54)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4732, 421, 4729])).
% 15.66/10.50 tff(4734,plain,
% 15.66/10.50 (succ(s54, s55) <=> succ(s54, s55)),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4735,axiom,(succ(s54, s55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound55')).
% 15.66/10.50 tff(4736,plain,
% 15.66/10.50 (succ(s54, s55)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4735, 4734])).
% 15.66/10.50 tff(4737,plain,
% 15.66/10.50 (((~![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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4738,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4739,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 15.66/10.50 tff(4740,plain,
% 15.66/10.50 (trans(s54, s55)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4739, 4736, 32])).
% 15.66/10.50 tff(4741,plain,
% 15.66/10.50 (((~![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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4742,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4743,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4742, 4741])).
% 15.66/10.50 tff(4744,plain,
% 15.66/10.50 (node7(s54, s55)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4743, 206, 4740])).
% 15.66/10.50 tff(4745,plain,
% 15.66/10.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4746,plain,
% 15.66/10.50 (((~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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4747,plain,
% 15.66/10.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 15.66/10.50 inference(monotonicity,[status(thm)],[4746])).
% 15.66/10.50 tff(4748,plain,
% 15.66/10.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 15.66/10.50 inference(transitivity,[status(thm)],[4747, 4745])).
% 15.66/10.50 tff(4749,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4750,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4749, 4748])).
% 15.66/10.50 tff(4751,plain,
% 15.66/10.50 (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4750, 584, 4744])).
% 15.66/10.50 tff(4752,plain,
% 15.66/10.50 (m_main_v_state1(s55, c_n1)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4751, 4733, 4688, 4725, 4721, 4713, 4696])).
% 15.66/10.50 tff(4753,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4754,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4755,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 15.66/10.50 tff(4756,plain,
% 15.66/10.50 (~node15(s53)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4755, 103, 4665])).
% 15.66/10.50 tff(4757,plain,
% 15.66/10.50 (((~![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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4758,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4759,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 15.66/10.50 tff(4760,plain,
% 15.66/10.50 (node18(s53, s54)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4759, 125, 4676])).
% 15.66/10.50 tff(4761,plain,
% 15.66/10.50 (((~![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(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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4762,plain,
% 15.66/10.50 (((~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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4763,plain,
% 15.66/10.50 (((~![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(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)))),
% 15.66/10.50 inference(monotonicity,[status(thm)],[4762])).
% 15.66/10.50 tff(4764,plain,
% 15.66/10.50 (((~![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(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))),
% 15.66/10.50 inference(transitivity,[status(thm)],[4763, 4761])).
% 15.66/10.50 tff(4765,plain,
% 15.66/10.50 ((~![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(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4766,plain,
% 15.66/10.50 ((~![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(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)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4765, 4764])).
% 15.66/10.50 tff(4767,plain,
% 15.66/10.50 (node15(s53) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4766, 992, 4760])).
% 15.66/10.50 tff(4768,plain,
% 15.66/10.50 (m_main_v_turn(s54, c_1)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4767, 4756, 4593, 4661])).
% 15.66/10.50 tff(4769,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4770,plain,
% 15.66/10.50 ((~![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)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4771,plain,
% 15.66/10.50 ((~![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))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4770, 4769])).
% 15.66/10.50 tff(4772,plain,
% 15.66/10.50 (~m_main_v_turn(s54, c_2)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4771, 156, 4768])).
% 15.66/10.50 tff(4773,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4774,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4775,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 15.66/10.50 tff(4776,plain,
% 15.66/10.50 (~node12(s54)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4775, 184, 4772])).
% 15.66/10.50 tff(4777,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4778,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4779,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 15.66/10.50 tff(4780,plain,
% 15.66/10.50 (~node8(s54)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4779, 271, 4709])).
% 15.66/10.50 tff(4781,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4782,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4783,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4782, 4781])).
% 15.66/10.50 tff(4784,plain,
% 15.66/10.50 (~node9(s54)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4783, 88, 4709])).
% 15.66/10.50 tff(4785,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4786,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4787,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4786, 4785])).
% 15.66/10.50 tff(4788,plain,
% 15.66/10.50 (~node10(s54)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4787, 249, 4709])).
% 15.66/10.50 tff(4789,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4790,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4791,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4790, 4789])).
% 15.66/10.50 tff(4792,plain,
% 15.66/10.50 (~node11(s54)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4791, 238, 4729])).
% 15.66/10.50 tff(4793,plain,
% 15.66/10.50 (((~![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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4794,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4795,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4794, 4793])).
% 15.66/10.50 tff(4796,plain,
% 15.66/10.50 (node14(s54, s55)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4795, 46, 4740])).
% 15.66/10.50 tff(4797,plain,
% 15.66/10.50 (((~![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(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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4798,plain,
% 15.66/10.50 ((~![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(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4799,plain,
% 15.66/10.50 ((~![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(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 15.66/10.50 tff(4800,plain,
% 15.66/10.50 (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4799, 296, 4796])).
% 15.66/10.50 tff(4801,plain,
% 15.66/10.50 (node13(s54, s55)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4800, 4792, 4717, 4788, 4784, 4780, 4776])).
% 15.66/10.50 tff(4802,plain,
% 15.66/10.50 (((~![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(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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4803,plain,
% 15.66/10.50 (((~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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4804,plain,
% 15.66/10.50 (((~![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))))),
% 15.66/10.50 inference(monotonicity,[status(thm)],[4803])).
% 15.66/10.50 tff(4805,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(transitivity,[status(thm)],[4804, 4802])).
% 15.66/10.50 tff(4806,plain,
% 15.66/10.50 ((~![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))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4807,plain,
% 15.66/10.50 ((~![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(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4806, 4805])).
% 15.66/10.50 tff(4808,plain,
% 15.66/10.50 (m_main_v_state2(s55, c_t2)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4807, 518, 4705, 4801])).
% 15.66/10.50 tff(4809,plain,
% 15.66/10.50 (succ(s55, s56) <=> succ(s55, s56)),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4810,axiom,(succ(s55, s56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound56')).
% 15.66/10.50 tff(4811,plain,
% 15.66/10.50 (succ(s55, s56)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4810, 4809])).
% 15.66/10.50 tff(4812,plain,
% 15.66/10.50 (((~![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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4813,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4814,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 15.66/10.50 tff(4815,plain,
% 15.66/10.50 (trans(s55, s56)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4814, 4811, 32])).
% 15.66/10.50 tff(4816,plain,
% 15.66/10.50 (((~![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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4817,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4818,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4817, 4816])).
% 15.66/10.50 tff(4819,plain,
% 15.66/10.50 (node7(s55, s56)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4818, 206, 4815])).
% 15.66/10.50 tff(4820,plain,
% 15.66/10.50 (((~![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(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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4821,plain,
% 15.66/10.50 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4822,plain,
% 15.66/10.50 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 15.66/10.50 tff(4823,plain,
% 15.66/10.50 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_state1(s56, c_t1)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4822, 651, 4819])).
% 15.66/10.50 tff(4824,plain,
% 15.66/10.50 (m_main_v_state1(s56, c_t1)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4823, 4808, 4752])).
% 15.66/10.50 tff(4825,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4826,plain,
% 15.66/10.50 ((~![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)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4827,plain,
% 15.66/10.50 ((~![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))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4826, 4825])).
% 15.66/10.50 tff(4828,plain,
% 15.66/10.50 (~m_main_v_state1(s56, c_n1)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4827, 10, 4824])).
% 15.66/10.50 tff(4829,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4830,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4831,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4830, 4829])).
% 15.66/10.50 tff(4832,plain,
% 15.66/10.50 (~node1(s56)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4831, 421, 4828])).
% 15.66/10.50 tff(4833,plain,
% 15.66/10.50 (((~![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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4834,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4835,plain,
% 15.66/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4834, 4833])).
% 15.66/10.50 tff(4836,plain,
% 15.66/10.50 (node18(s55, s56)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4835, 125, 4815])).
% 15.66/10.50 tff(4837,plain,
% 15.66/10.50 (((~![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(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))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4838,plain,
% 15.66/10.50 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4839,plain,
% 15.66/10.50 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2)),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4838, 4837])).
% 15.66/10.50 tff(4840,plain,
% 15.66/10.50 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_turn(s56, c_2)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4839, 760, 4836])).
% 15.66/10.50 tff(4841,plain,
% 15.66/10.50 (m_main_v_turn(s56, c_2)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4840, 4808, 4752])).
% 15.66/10.50 tff(4842,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4843,plain,
% 15.66/10.50 ((~![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)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4844,plain,
% 15.66/10.50 ((~![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))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4843, 4842])).
% 15.66/10.50 tff(4845,plain,
% 15.66/10.50 (~m_main_v_turn(s56, c_1)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4844, 156, 4841])).
% 15.66/10.50 tff(4846,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.50 inference(rewrite,[status(thm)],[])).
% 15.66/10.50 tff(4847,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 15.66/10.50 inference(quant_inst,[status(thm)],[])).
% 15.66/10.50 tff(4848,plain,
% 15.66/10.50 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56))),
% 15.66/10.50 inference(modus_ponens,[status(thm)],[4847, 4846])).
% 15.66/10.50 tff(4849,plain,
% 15.66/10.50 (~node5(s56)),
% 15.66/10.50 inference(unit_resolution,[status(thm)],[4848, 776, 4845])).
% 15.66/10.50 tff(4850,plain,
% 15.66/10.50 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4851,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4852,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4851, 4850])).
% 15.66/10.51 tff(4853,plain,
% 15.66/10.51 (~node2(s56)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4852, 787, 4828])).
% 15.66/10.51 tff(4854,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4855,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4856,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4855, 4854])).
% 15.66/10.51 tff(4857,plain,
% 15.66/10.51 (~node3(s56)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4856, 798, 4828])).
% 15.66/10.51 tff(4858,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4859,plain,
% 15.66/10.51 ((~![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)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4860,plain,
% 15.66/10.51 ((~![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))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 15.66/10.51 tff(4861,plain,
% 15.66/10.51 (~m_main_v_state1(s56, c_c1)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4860, 539, 4824])).
% 15.66/10.51 tff(4862,plain,
% 15.66/10.51 (((~![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(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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4863,plain,
% 15.66/10.51 (((~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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4864,plain,
% 15.66/10.51 (((~![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))))),
% 15.66/10.51 inference(monotonicity,[status(thm)],[4863])).
% 15.66/10.51 tff(4865,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(transitivity,[status(thm)],[4864, 4862])).
% 15.66/10.51 tff(4866,plain,
% 15.66/10.51 ((~![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)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4867,plain,
% 15.66/10.51 ((~![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(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 15.66/10.51 tff(4868,plain,
% 15.66/10.51 (~m_main_v_state2(s55, c_n2)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4867, 311, 4709, 4801])).
% 15.66/10.51 tff(4869,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4870,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4871,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 15.66/10.51 tff(4872,plain,
% 15.66/10.51 (~node9(s55)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4871, 88, 4868])).
% 15.66/10.51 tff(4873,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4874,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4875,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 15.66/10.51 tff(4876,plain,
% 15.66/10.51 (~node10(s55)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4875, 249, 4868])).
% 15.66/10.51 tff(4877,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4878,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4879,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 15.66/10.51 tff(4880,plain,
% 15.66/10.51 (~node8(s55)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4879, 271, 4868])).
% 15.66/10.51 tff(4881,plain,
% 15.66/10.51 (((~![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))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4882,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4883,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56)),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 15.66/10.51 tff(4884,plain,
% 15.66/10.51 (node14(s55, s56)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4883, 46, 4815])).
% 15.66/10.51 tff(4885,plain,
% 15.66/10.51 (((~![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(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))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4886,plain,
% 15.66/10.51 ((~![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(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))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4887,plain,
% 15.66/10.51 ((~![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(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)),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 15.66/10.51 tff(4888,plain,
% 15.66/10.51 ((~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)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4887, 617, 4884])).
% 15.66/10.51 tff(4889,plain,
% 15.66/10.51 (m_main_v_state2(s56, c_c2)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4888, 4880, 4752, 4808, 4876, 4872])).
% 15.66/10.51 tff(4890,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4891,plain,
% 15.66/10.51 ((~![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)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4892,plain,
% 15.66/10.51 ((~![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))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4891, 4890])).
% 15.66/10.51 tff(4893,plain,
% 15.66/10.51 (~m_main_v_state2(s56, c_n2)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4892, 697, 4889])).
% 15.66/10.51 tff(4894,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4895,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4896,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4895, 4894])).
% 15.66/10.51 tff(4897,plain,
% 15.66/10.51 (~node4(s56)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4896, 388, 4893])).
% 15.66/10.51 tff(4898,plain,
% 15.66/10.51 (succ(s56, s57) <=> succ(s56, s57)),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4899,axiom,(succ(s56, s57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound57')).
% 15.66/10.51 tff(4900,plain,
% 15.66/10.51 (succ(s56, s57)),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4899, 4898])).
% 15.66/10.51 tff(4901,plain,
% 15.66/10.51 (((~![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))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4902,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4903,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4902, 4901])).
% 15.66/10.51 tff(4904,plain,
% 15.66/10.51 (trans(s56, s57)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4903, 4900, 32])).
% 15.66/10.51 tff(4905,plain,
% 15.66/10.51 (((~![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))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4906,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4907,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57)),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4906, 4905])).
% 15.66/10.51 tff(4908,plain,
% 15.66/10.51 (node7(s56, s57)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4907, 206, 4904])).
% 15.66/10.51 tff(4909,plain,
% 15.66/10.51 (((~![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(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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4910,plain,
% 15.66/10.51 ((~![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(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4911,plain,
% 15.66/10.51 ((~![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(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4910, 4909])).
% 15.66/10.51 tff(4912,plain,
% 15.66/10.51 (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4911, 820, 4908])).
% 15.66/10.51 tff(4913,plain,
% 15.66/10.51 (node6(s56, s57)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4912, 4897, 4861, 4857, 4853, 4849, 4832])).
% 15.66/10.51 tff(4914,plain,
% 15.66/10.51 (((~![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(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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4915,plain,
% 15.66/10.51 (((~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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4916,plain,
% 15.66/10.51 (((~![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))))),
% 15.66/10.51 inference(monotonicity,[status(thm)],[4915])).
% 15.66/10.51 tff(4917,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(transitivity,[status(thm)],[4916, 4914])).
% 15.66/10.51 tff(4918,plain,
% 15.66/10.51 ((~![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))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4919,plain,
% 15.66/10.51 ((~![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(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4918, 4917])).
% 15.66/10.51 tff(4920,plain,
% 15.66/10.51 (m_main_v_state1(s57, c_t1)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4919, 856, 4824, 4913])).
% 15.66/10.51 tff(4921,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4922,plain,
% 15.66/10.51 ((~![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)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4923,plain,
% 15.66/10.51 ((~![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))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4922, 4921])).
% 15.66/10.51 tff(4924,plain,
% 15.66/10.51 (~m_main_v_state2(s56, c_t2)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4923, 260, 4889])).
% 15.66/10.51 tff(4925,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4926,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4927,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4926, 4925])).
% 15.66/10.51 tff(4928,plain,
% 15.66/10.51 (~node12(s56)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4927, 633, 4924])).
% 15.66/10.51 tff(4929,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4930,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4931,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 15.66/10.51 tff(4932,plain,
% 15.66/10.51 (~node11(s56)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4931, 238, 4828])).
% 15.66/10.51 tff(4933,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4934,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4935,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 15.66/10.51 tff(4936,plain,
% 15.66/10.51 (~node10(s56)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4935, 675, 4861])).
% 15.66/10.51 tff(4937,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4938,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4939,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 15.66/10.51 tff(4940,plain,
% 15.66/10.51 (~node9(s56)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4939, 686, 4828])).
% 15.66/10.51 tff(4941,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4942,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4943,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 15.66/10.51 tff(4944,plain,
% 15.66/10.51 (~node8(s56)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4943, 271, 4893])).
% 15.66/10.51 tff(4945,plain,
% 15.66/10.51 (((~![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))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4946,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4947,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57)),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 15.66/10.51 tff(4948,plain,
% 15.66/10.51 (node14(s56, s57)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4947, 46, 4904])).
% 15.66/10.51 tff(4949,plain,
% 15.66/10.51 (((~![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(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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4950,plain,
% 15.66/10.51 (((~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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4951,plain,
% 15.66/10.51 (((~![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(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))))),
% 15.66/10.51 inference(monotonicity,[status(thm)],[4950])).
% 15.66/10.51 tff(4952,plain,
% 15.66/10.51 (((~![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(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)))),
% 15.66/10.51 inference(transitivity,[status(thm)],[4951, 4949])).
% 15.66/10.51 tff(4953,plain,
% 15.66/10.51 ((~![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(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4954,plain,
% 15.66/10.51 ((~![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(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 15.66/10.51 tff(4955,plain,
% 15.66/10.51 (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~m_main_v_state2(s56, c_c2))),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4954, 726, 4948])).
% 15.66/10.51 tff(4956,plain,
% 15.66/10.51 (m_main_v_state2(s57, c_n2)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4955, 4944, 4889, 4940, 4936, 4932, 4928])).
% 15.66/10.51 tff(4957,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4958,plain,
% 15.66/10.51 ((~![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)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4959,plain,
% 15.66/10.51 ((~![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))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4958, 4957])).
% 15.66/10.51 tff(4960,plain,
% 15.66/10.51 (~m_main_v_state2(s57, c_t2)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4959, 77, 4956])).
% 15.66/10.51 tff(4961,plain,
% 15.66/10.51 (((~![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)))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4962,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4963,plain,
% 15.66/10.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57))),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 15.66/10.51 tff(4964,plain,
% 15.66/10.51 (~node15(s57)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4963, 103, 4960])).
% 15.66/10.51 tff(4965,plain,
% 15.66/10.51 (succ(s57, s58) <=> succ(s57, s58)),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4966,axiom,(succ(s57, s58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound58')).
% 15.66/10.51 tff(4967,plain,
% 15.66/10.51 (succ(s57, s58)),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 15.66/10.51 tff(4968,plain,
% 15.66/10.51 (((~![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))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4969,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4970,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4969, 4968])).
% 15.66/10.51 tff(4971,plain,
% 15.66/10.51 (trans(s57, s58)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4970, 4967, 32])).
% 15.66/10.51 tff(4972,plain,
% 15.66/10.51 (((~![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))),
% 15.66/10.51 inference(rewrite,[status(thm)],[])).
% 15.66/10.51 tff(4973,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))),
% 15.66/10.51 inference(quant_inst,[status(thm)],[])).
% 15.66/10.51 tff(4974,plain,
% 15.66/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58)),
% 15.66/10.51 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 15.66/10.51 tff(4975,plain,
% 15.66/10.51 (node18(s57, s58)),
% 15.66/10.51 inference(unit_resolution,[status(thm)],[4974, 125, 4971])).
% 15.66/10.51 tff(4976,plain,
% 15.66/10.51 (((~![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(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))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(4977,plain,
% 15.66/10.52 (((~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))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(4978,plain,
% 15.66/10.52 (((~![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))) | ((~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)))),
% 15.66/10.52 inference(monotonicity,[status(thm)],[4977])).
% 15.66/10.52 tff(4979,plain,
% 15.66/10.52 (((~![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))) | ((~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))),
% 15.66/10.52 inference(transitivity,[status(thm)],[4978, 4976])).
% 15.66/10.52 tff(4980,plain,
% 15.66/10.52 ((~![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))) | ((~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))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(4981,plain,
% 15.66/10.52 ((~![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(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)),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[4980, 4979])).
% 15.66/10.52 tff(4982,plain,
% 15.66/10.52 (node15(s57) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[4981, 992, 4975])).
% 15.66/10.52 tff(4983,plain,
% 15.66/10.52 (m_main_v_turn(s58, c_1)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[4982, 4964, 4956, 4920])).
% 15.66/10.52 tff(4984,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(4985,plain,
% 15.66/10.52 ((~![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)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(4986,plain,
% 15.66/10.52 ((~![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))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 15.66/10.52 tff(4987,plain,
% 15.66/10.52 (~m_main_v_turn(s58, c_2)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[4986, 156, 4983])).
% 15.66/10.52 tff(4988,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(4989,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(4990,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[4989, 4988])).
% 15.66/10.52 tff(4991,plain,
% 15.66/10.52 (~node12(s58)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[4990, 184, 4987])).
% 15.66/10.52 tff(4992,plain,
% 15.66/10.52 (((~![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))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(4993,plain,
% 15.66/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(4994,plain,
% 15.66/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58)),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 15.66/10.52 tff(4995,plain,
% 15.66/10.52 (node14(s57, s58)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[4994, 46, 4971])).
% 15.66/10.52 tff(4996,plain,
% 15.66/10.52 (((~![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(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))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(4997,plain,
% 15.66/10.52 ((~![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(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(4998,plain,
% 15.66/10.52 ((~![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(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2)),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[4997, 4996])).
% 15.66/10.52 tff(4999,plain,
% 15.66/10.52 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state2(s58, c_t2)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[4998, 922, 4995])).
% 15.66/10.52 tff(5000,plain,
% 15.66/10.52 (m_main_v_state2(s58, c_t2)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[4999, 4920, 4956])).
% 15.66/10.52 tff(5001,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5002,plain,
% 15.66/10.52 ((~![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)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5003,plain,
% 15.66/10.52 ((~![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))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 15.66/10.52 tff(5004,plain,
% 15.66/10.52 (~m_main_v_state2(s58, c_n2)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5003, 77, 5000])).
% 15.66/10.52 tff(5005,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5006,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5007,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5006, 5005])).
% 15.66/10.52 tff(5008,plain,
% 15.66/10.52 (~node8(s58)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5007, 271, 5004])).
% 15.66/10.52 tff(5009,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5010,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5011,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 15.66/10.52 tff(5012,plain,
% 15.66/10.52 (~node9(s58)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5011, 88, 5004])).
% 15.66/10.52 tff(5013,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5014,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5015,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5014, 5013])).
% 15.66/10.52 tff(5016,plain,
% 15.66/10.52 (~node10(s58)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5015, 249, 5004])).
% 15.66/10.52 tff(5017,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5018,plain,
% 15.66/10.52 ((~![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)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5019,plain,
% 15.66/10.52 ((~![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))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 15.66/10.52 tff(5020,plain,
% 15.66/10.52 (~m_main_v_state2(s58, c_c2)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5019, 260, 5000])).
% 15.66/10.52 tff(5021,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5022,plain,
% 15.66/10.52 ((~![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)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5023,plain,
% 15.66/10.52 ((~![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))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5022, 5021])).
% 15.66/10.52 tff(5024,plain,
% 15.66/10.52 (~m_main_v_state2(s57, c_c2)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5023, 697, 4956])).
% 15.66/10.52 tff(5025,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5026,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5027,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5026, 5025])).
% 15.66/10.52 tff(5028,plain,
% 15.66/10.52 (~node3(s57)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5027, 399, 5024])).
% 15.66/10.52 tff(5029,plain,
% 15.66/10.52 (((~![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(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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5030,plain,
% 15.66/10.52 (((~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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5031,plain,
% 15.66/10.52 (((~![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))))),
% 15.66/10.52 inference(monotonicity,[status(thm)],[5030])).
% 15.66/10.52 tff(5032,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(transitivity,[status(thm)],[5031, 5029])).
% 15.66/10.52 tff(5033,plain,
% 15.66/10.52 ((~![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)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5034,plain,
% 15.66/10.52 ((~![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(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 15.66/10.52 tff(5035,plain,
% 15.66/10.52 (~m_main_v_state1(s57, c_n1)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5034, 835, 4828, 4913])).
% 15.66/10.52 tff(5036,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5037,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5038,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 15.66/10.52 tff(5039,plain,
% 15.66/10.52 (~node2(s57)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5038, 787, 5035])).
% 15.66/10.52 tff(5040,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5041,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5042,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 15.66/10.52 tff(5043,plain,
% 15.66/10.52 (~node1(s57)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5042, 195, 4960])).
% 15.66/10.52 tff(5044,plain,
% 15.66/10.52 (((~![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))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5045,plain,
% 15.66/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5046,plain,
% 15.66/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58)),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5045, 5044])).
% 15.66/10.52 tff(5047,plain,
% 15.66/10.52 (node7(s57, s58)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5046, 206, 4971])).
% 15.66/10.52 tff(5048,plain,
% 15.66/10.52 (((~![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(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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5049,plain,
% 15.66/10.52 (((~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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5050,plain,
% 15.66/10.52 (((~![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(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))))),
% 15.66/10.52 inference(monotonicity,[status(thm)],[5049])).
% 15.66/10.52 tff(5051,plain,
% 15.66/10.52 (((~![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(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)))),
% 15.66/10.52 inference(transitivity,[status(thm)],[5050, 5048])).
% 15.66/10.52 tff(5052,plain,
% 15.66/10.52 ((~![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(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))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5053,plain,
% 15.66/10.52 ((~![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(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))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 15.66/10.52 tff(5054,plain,
% 15.66/10.52 ((~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)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5053, 892, 5047])).
% 15.66/10.52 tff(5055,plain,
% 15.66/10.52 (m_main_v_state1(s58, c_c1)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5054, 5043, 4956, 4920, 5039, 5028])).
% 15.66/10.52 tff(5056,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5057,plain,
% 15.66/10.52 ((~![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)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5058,plain,
% 15.66/10.52 ((~![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))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 15.66/10.52 tff(5059,plain,
% 15.66/10.52 (~m_main_v_state1(s58, c_n1)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5058, 454, 5055])).
% 15.66/10.52 tff(5060,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5061,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5062,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 15.66/10.52 tff(5063,plain,
% 15.66/10.52 (~node11(s58)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5062, 238, 5059])).
% 15.66/10.52 tff(5064,plain,
% 15.66/10.52 (succ(s58, s59) <=> succ(s58, s59)),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5065,axiom,(succ(s58, s59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound59')).
% 15.66/10.52 tff(5066,plain,
% 15.66/10.52 (succ(s58, s59)),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5065, 5064])).
% 15.66/10.52 tff(5067,plain,
% 15.66/10.52 (((~![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))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5068,plain,
% 15.66/10.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5069,plain,
% 15.66/10.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 15.66/10.52 tff(5070,plain,
% 15.66/10.52 (trans(s58, s59)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5069, 5066, 32])).
% 15.66/10.52 tff(5071,plain,
% 15.66/10.52 (((~![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))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5072,plain,
% 15.66/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5073,plain,
% 15.66/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59)),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 15.66/10.52 tff(5074,plain,
% 15.66/10.52 (node14(s58, s59)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5073, 46, 5070])).
% 15.66/10.52 tff(5075,plain,
% 15.66/10.52 (((~![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(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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5076,plain,
% 15.66/10.52 ((~![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(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5077,plain,
% 15.66/10.52 ((~![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(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5076, 5075])).
% 15.66/10.52 tff(5078,plain,
% 15.66/10.52 (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5077, 296, 5074])).
% 15.66/10.52 tff(5079,plain,
% 15.66/10.52 (node13(s58, s59)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5078, 5063, 5020, 5016, 5012, 5008, 4991])).
% 15.66/10.52 tff(5080,plain,
% 15.66/10.52 (((~![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(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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5081,plain,
% 15.66/10.52 (((~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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5082,plain,
% 15.66/10.52 (((~![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))))),
% 15.66/10.52 inference(monotonicity,[status(thm)],[5081])).
% 15.66/10.52 tff(5083,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(transitivity,[status(thm)],[5082, 5080])).
% 15.66/10.52 tff(5084,plain,
% 15.66/10.52 ((~![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)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5085,plain,
% 15.66/10.52 ((~![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(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 15.66/10.52 tff(5086,plain,
% 15.66/10.52 (~m_main_v_state2(s59, c_n2)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5085, 311, 5004, 5079])).
% 15.66/10.52 tff(5087,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5088,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5089,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 15.66/10.52 tff(5090,plain,
% 15.66/10.52 (~node9(s59)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5089, 88, 5086])).
% 15.66/10.52 tff(5091,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5092,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5093,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 15.66/10.52 tff(5094,plain,
% 15.66/10.52 (~node10(s59)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5093, 249, 5086])).
% 15.66/10.52 tff(5095,plain,
% 15.66/10.52 (((~![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(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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5096,plain,
% 15.66/10.52 (((~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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5097,plain,
% 15.66/10.52 (((~![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))))),
% 15.66/10.52 inference(monotonicity,[status(thm)],[5096])).
% 15.66/10.52 tff(5098,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(transitivity,[status(thm)],[5097, 5095])).
% 15.66/10.52 tff(5099,plain,
% 15.66/10.52 ((~![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))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5100,plain,
% 15.66/10.52 ((~![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(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5099, 5098])).
% 15.66/10.52 tff(5101,plain,
% 15.66/10.52 (m_main_v_state2(s59, c_t2)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5100, 518, 5000, 5079])).
% 15.66/10.52 tff(5102,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5103,plain,
% 15.66/10.52 ((~![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)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5104,plain,
% 15.66/10.52 ((~![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))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 15.66/10.52 tff(5105,plain,
% 15.66/10.52 (~m_main_v_state1(s58, c_t1)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5104, 539, 5055])).
% 15.66/10.52 tff(5106,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.52 inference(rewrite,[status(thm)],[])).
% 15.66/10.52 tff(5107,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 15.66/10.52 inference(quant_inst,[status(thm)],[])).
% 15.66/10.52 tff(5108,plain,
% 15.66/10.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58))),
% 15.66/10.52 inference(modus_ponens,[status(thm)],[5107, 5106])).
% 15.66/10.52 tff(5109,plain,
% 15.66/10.52 (~node5(s58)),
% 15.66/10.52 inference(unit_resolution,[status(thm)],[5108, 550, 5105])).
% 15.66/10.52 tff(5110,plain,
% 15.66/10.52 (((~![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)))),
% 15.66/10.53 inference(rewrite,[status(thm)],[])).
% 15.66/10.53 tff(5111,plain,
% 15.66/10.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 15.66/10.53 inference(quant_inst,[status(thm)],[])).
% 15.66/10.53 tff(5112,plain,
% 15.66/10.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58))),
% 15.66/10.53 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 15.66/10.53 tff(5113,plain,
% 15.66/10.53 (~node4(s58)),
% 15.66/10.53 inference(unit_resolution,[status(thm)],[5112, 388, 5004])).
% 15.66/10.53 tff(5114,plain,
% 15.66/10.53 (((~![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)))),
% 15.66/10.53 inference(rewrite,[status(thm)],[])).
% 15.66/10.53 tff(5115,plain,
% 15.66/10.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 15.66/10.53 inference(quant_inst,[status(thm)],[])).
% 15.66/10.53 tff(5116,plain,
% 15.66/10.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58))),
% 15.66/10.53 inference(modus_ponens,[status(thm)],[5115, 5114])).
% 15.66/10.53 tff(5117,plain,
% 15.66/10.53 (~node3(s58)),
% 15.66/10.53 inference(unit_resolution,[status(thm)],[5116, 399, 5020])).
% 15.66/10.53 tff(5118,plain,
% 15.66/10.53 (((~![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)))),
% 15.66/10.53 inference(rewrite,[status(thm)],[])).
% 15.66/10.53 tff(5119,plain,
% 15.66/10.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 15.66/10.53 inference(quant_inst,[status(thm)],[])).
% 15.66/10.53 tff(5120,plain,
% 15.66/10.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58))),
% 15.66/10.53 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 15.66/10.53 tff(5121,plain,
% 15.66/10.53 (~node2(s58)),
% 15.66/10.53 inference(unit_resolution,[status(thm)],[5120, 410, 5004])).
% 15.66/10.53 tff(5122,plain,
% 15.66/10.53 (((~![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)))),
% 15.66/10.53 inference(rewrite,[status(thm)],[])).
% 15.66/10.53 tff(5123,plain,
% 15.66/10.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 15.66/10.53 inference(quant_inst,[status(thm)],[])).
% 15.66/10.53 tff(5124,plain,
% 15.66/10.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58))),
% 15.66/10.53 inference(modus_ponens,[status(thm)],[5123, 5122])).
% 15.66/10.53 tff(5125,plain,
% 15.66/10.53 (~node1(s58)),
% 15.66/10.53 inference(unit_resolution,[status(thm)],[5124, 421, 5059])).
% 15.66/10.53 tff(5126,plain,
% 15.66/10.53 (((~![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))),
% 15.66/10.53 inference(rewrite,[status(thm)],[])).
% 15.66/10.53 tff(5127,plain,
% 15.66/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))),
% 15.66/10.53 inference(quant_inst,[status(thm)],[])).
% 15.66/10.53 tff(5128,plain,
% 15.66/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59)),
% 15.66/10.53 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 15.66/10.53 tff(5129,plain,
% 15.66/10.53 (node7(s58, s59)),
% 15.66/10.53 inference(unit_resolution,[status(thm)],[5128, 206, 5070])).
% 15.66/10.53 tff(5130,plain,
% 15.66/10.53 (((~![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(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)))),
% 15.66/10.53 inference(rewrite,[status(thm)],[])).
% 15.66/10.53 tff(5131,plain,
% 15.66/10.53 (((~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)))),
% 15.66/10.53 inference(rewrite,[status(thm)],[])).
% 15.66/10.53 tff(5132,plain,
% 15.66/10.53 (((~![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(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))))),
% 15.66/10.53 inference(monotonicity,[status(thm)],[5131])).
% 15.66/10.53 tff(5133,plain,
% 15.66/10.53 (((~![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(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)))),
% 15.66/10.53 inference(transitivity,[status(thm)],[5132, 5130])).
% 15.66/10.53 tff(5134,plain,
% 15.66/10.53 ((~![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(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))),
% 15.66/10.53 inference(quant_inst,[status(thm)],[])).
% 15.66/10.53 tff(5135,plain,
% 15.66/10.53 ((~![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(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59))),
% 15.66/10.53 inference(modus_ponens,[status(thm)],[5134, 5133])).
% 15.66/10.53 tff(5136,plain,
% 15.66/10.53 (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58)),
% 15.66/10.53 inference(unit_resolution,[status(thm)],[5135, 584, 5129])).
% 15.66/10.53 tff(5137,plain,
% 15.66/10.53 (m_main_v_state1(s59, c_n1)),
% 15.66/10.53 inference(unit_resolution,[status(thm)],[5136, 5125, 5055, 5121, 5117, 5113, 5109])).
% 15.66/10.53 tff(5138,plain,
% 15.66/10.53 (((~![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)))),
% 15.66/10.53 inference(rewrite,[status(thm)],[])).
% 15.66/10.53 tff(5139,plain,
% 15.66/10.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 15.66/10.53 inference(quant_inst,[status(thm)],[])).
% 15.66/10.53 tff(5140,plain,
% 15.66/10.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59))),
% 15.66/10.53 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 15.66/10.53 tff(5141,plain,
% 15.66/10.53 (~node8(s59)),
% 15.66/10.53 inference(unit_resolution,[status(thm)],[5140, 271, 5086])).
% 15.66/10.53 tff(5142,plain,
% 15.66/10.53 (succ(s59, s60) <=> succ(s59, s60)),
% 15.66/10.53 inference(rewrite,[status(thm)],[])).
% 15.66/10.53 tff(5143,axiom,(succ(s59, s60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound60')).
% 15.66/10.53 tff(5144,plain,
% 15.66/10.53 (succ(s59, s60)),
% 15.66/10.53 inference(modus_ponens,[status(thm)],[5143, 5142])).
% 15.66/10.53 tff(5145,plain,
% 15.66/10.53 (((~![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))),
% 15.66/10.53 inference(rewrite,[status(thm)],[])).
% 15.66/10.53 tff(5146,plain,
% 15.66/10.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5147,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 15.73/10.53 tff(5148,plain,
% 15.73/10.53 (trans(s59, s60)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5147, 5144, 32])).
% 15.73/10.53 tff(5149,plain,
% 15.73/10.53 (((~![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))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5150,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5151,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60)),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5150, 5149])).
% 15.73/10.53 tff(5152,plain,
% 15.73/10.53 (node14(s59, s60)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5151, 46, 5148])).
% 15.73/10.53 tff(5153,plain,
% 15.73/10.53 (((~![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(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))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5154,plain,
% 15.73/10.53 ((~![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(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))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5155,plain,
% 15.73/10.53 ((~![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(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)),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5154, 5153])).
% 15.73/10.53 tff(5156,plain,
% 15.73/10.53 ((~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)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5155, 617, 5152])).
% 15.73/10.53 tff(5157,plain,
% 15.73/10.53 (m_main_v_state2(s60, c_c2)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5156, 5141, 5137, 5101, 5094, 5090])).
% 15.73/10.53 tff(5158,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5159,plain,
% 15.73/10.53 ((~![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)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5160,plain,
% 15.73/10.53 ((~![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))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5159, 5158])).
% 15.73/10.53 tff(5161,plain,
% 15.73/10.53 (~m_main_v_state2(s60, c_t2)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5160, 260, 5157])).
% 15.73/10.53 tff(5162,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5163,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5164,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 15.73/10.53 tff(5165,plain,
% 15.73/10.53 (~node12(s60)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5164, 633, 5161])).
% 15.73/10.53 tff(5166,plain,
% 15.73/10.53 (((~![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))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5167,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5168,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60)),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 15.73/10.53 tff(5169,plain,
% 15.73/10.53 (node7(s59, s60)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5168, 206, 5148])).
% 15.73/10.53 tff(5170,plain,
% 15.73/10.53 (((~![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(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))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5171,plain,
% 15.73/10.53 ((~![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(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5172,plain,
% 15.73/10.53 ((~![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(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1)),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5171, 5170])).
% 15.73/10.53 tff(5173,plain,
% 15.73/10.53 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_state1(s60, c_t1)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5172, 651, 5169])).
% 15.73/10.53 tff(5174,plain,
% 15.73/10.53 (m_main_v_state1(s60, c_t1)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5173, 5101, 5137])).
% 15.73/10.53 tff(5175,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5176,plain,
% 15.73/10.53 ((~![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)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5177,plain,
% 15.73/10.53 ((~![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))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 15.73/10.53 tff(5178,plain,
% 15.73/10.53 (~m_main_v_state1(s60, c_n1)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5177, 10, 5174])).
% 15.73/10.53 tff(5179,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5180,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5181,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 15.73/10.53 tff(5182,plain,
% 15.73/10.53 (~node11(s60)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5181, 238, 5178])).
% 15.73/10.53 tff(5183,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5184,plain,
% 15.73/10.53 ((~![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)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5185,plain,
% 15.73/10.53 ((~![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))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 15.73/10.53 tff(5186,plain,
% 15.73/10.53 (~m_main_v_state1(s60, c_c1)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5185, 539, 5174])).
% 15.73/10.53 tff(5187,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5188,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5189,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 15.73/10.53 tff(5190,plain,
% 15.73/10.53 (~node10(s60)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5189, 675, 5186])).
% 15.73/10.53 tff(5191,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5192,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5193,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5192, 5191])).
% 15.73/10.53 tff(5194,plain,
% 15.73/10.53 (~node9(s60)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5193, 686, 5178])).
% 15.73/10.53 tff(5195,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5196,plain,
% 15.73/10.53 ((~![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)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5197,plain,
% 15.73/10.53 ((~![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))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 15.73/10.53 tff(5198,plain,
% 15.73/10.53 (~m_main_v_state2(s60, c_n2)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5197, 697, 5157])).
% 15.73/10.53 tff(5199,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5200,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5201,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 15.73/10.53 tff(5202,plain,
% 15.73/10.53 (~node8(s60)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5201, 271, 5198])).
% 15.73/10.53 tff(5203,plain,
% 15.73/10.53 (succ(s60, s61) <=> succ(s60, s61)),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5204,axiom,(succ(s60, s61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound61')).
% 15.73/10.53 tff(5205,plain,
% 15.73/10.53 (succ(s60, s61)),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5204, 5203])).
% 15.73/10.53 tff(5206,plain,
% 15.73/10.53 (((~![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))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5207,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5208,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5207, 5206])).
% 15.73/10.53 tff(5209,plain,
% 15.73/10.53 (trans(s60, s61)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5208, 5205, 32])).
% 15.73/10.53 tff(5210,plain,
% 15.73/10.53 (((~![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))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5211,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5212,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61)),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5211, 5210])).
% 15.73/10.53 tff(5213,plain,
% 15.73/10.53 (node14(s60, s61)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5212, 46, 5209])).
% 15.73/10.53 tff(5214,plain,
% 15.73/10.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5215,plain,
% 15.73/10.53 (((~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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5216,plain,
% 15.73/10.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 15.73/10.53 inference(monotonicity,[status(thm)],[5215])).
% 15.73/10.53 tff(5217,plain,
% 15.73/10.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 15.73/10.53 inference(transitivity,[status(thm)],[5216, 5214])).
% 15.73/10.53 tff(5218,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5219,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5218, 5217])).
% 15.73/10.53 tff(5220,plain,
% 15.73/10.53 (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~m_main_v_state2(s60, c_c2))),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5219, 726, 5213])).
% 15.73/10.53 tff(5221,plain,
% 15.73/10.53 (m_main_v_state2(s61, c_n2)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5220, 5202, 5157, 5194, 5190, 5182, 5165])).
% 15.73/10.53 tff(5222,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5223,plain,
% 15.73/10.53 ((~![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)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5224,plain,
% 15.73/10.53 ((~![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))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 15.73/10.53 tff(5225,plain,
% 15.73/10.53 (~m_main_v_state2(s61, c_c2)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5224, 697, 5221])).
% 15.73/10.53 tff(5226,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5227,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5228,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 15.73/10.53 tff(5229,plain,
% 15.73/10.53 (~node3(s61)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5228, 399, 5225])).
% 15.73/10.53 tff(5230,plain,
% 15.73/10.53 (((~![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)))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5231,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5232,plain,
% 15.73/10.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60))),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5231, 5230])).
% 15.73/10.53 tff(5233,plain,
% 15.73/10.53 (~node1(s60)),
% 15.73/10.53 inference(unit_resolution,[status(thm)],[5232, 421, 5178])).
% 15.73/10.53 tff(5234,plain,
% 15.73/10.53 (((~![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))),
% 15.73/10.53 inference(rewrite,[status(thm)],[])).
% 15.73/10.53 tff(5235,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))),
% 15.73/10.53 inference(quant_inst,[status(thm)],[])).
% 15.73/10.53 tff(5236,plain,
% 15.73/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60)),
% 15.73/10.53 inference(modus_ponens,[status(thm)],[5235, 5234])).
% 15.73/10.54 tff(5237,plain,
% 15.73/10.54 (node18(s59, s60)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5236, 125, 5148])).
% 15.73/10.54 tff(5238,plain,
% 15.73/10.54 (((~![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(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))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5239,plain,
% 15.73/10.54 ((~![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(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5240,plain,
% 15.73/10.54 ((~![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(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2)),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5239, 5238])).
% 15.73/10.54 tff(5241,plain,
% 15.73/10.54 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_turn(s60, c_2)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5240, 760, 5237])).
% 15.73/10.54 tff(5242,plain,
% 15.73/10.54 (m_main_v_turn(s60, c_2)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5241, 5101, 5137])).
% 15.73/10.54 tff(5243,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5244,plain,
% 15.73/10.54 ((~![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)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5245,plain,
% 15.73/10.54 ((~![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))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 15.73/10.54 tff(5246,plain,
% 15.73/10.54 (~m_main_v_turn(s60, c_1)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5245, 156, 5242])).
% 15.73/10.54 tff(5247,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5248,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5249,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 15.73/10.54 tff(5250,plain,
% 15.73/10.54 (~node5(s60)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5249, 776, 5246])).
% 15.73/10.54 tff(5251,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5252,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5253,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 15.73/10.54 tff(5254,plain,
% 15.73/10.54 (~node2(s60)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5253, 787, 5178])).
% 15.73/10.54 tff(5255,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5256,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5257,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 15.73/10.54 tff(5258,plain,
% 15.73/10.54 (~node3(s60)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5257, 798, 5178])).
% 15.73/10.54 tff(5259,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5260,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5261,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 15.73/10.54 tff(5262,plain,
% 15.73/10.54 (~node4(s60)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5261, 388, 5198])).
% 15.73/10.54 tff(5263,plain,
% 15.73/10.54 (((~![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))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5264,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5265,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61)),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5264, 5263])).
% 15.73/10.54 tff(5266,plain,
% 15.73/10.54 (node7(s60, s61)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5265, 206, 5209])).
% 15.73/10.54 tff(5267,plain,
% 15.73/10.54 (((~![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(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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5268,plain,
% 15.73/10.54 ((~![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(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5269,plain,
% 15.73/10.54 ((~![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(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5268, 5267])).
% 15.73/10.54 tff(5270,plain,
% 15.73/10.54 (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5269, 820, 5266])).
% 15.73/10.54 tff(5271,plain,
% 15.73/10.54 (node6(s60, s61)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5270, 5262, 5186, 5258, 5254, 5250, 5233])).
% 15.73/10.54 tff(5272,plain,
% 15.73/10.54 (((~![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(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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5273,plain,
% 15.73/10.54 (((~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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5274,plain,
% 15.73/10.54 (((~![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))))),
% 15.73/10.54 inference(monotonicity,[status(thm)],[5273])).
% 15.73/10.54 tff(5275,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(transitivity,[status(thm)],[5274, 5272])).
% 15.73/10.54 tff(5276,plain,
% 15.73/10.54 ((~![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)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5277,plain,
% 15.73/10.54 ((~![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(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 15.73/10.54 tff(5278,plain,
% 15.73/10.54 (~m_main_v_state1(s61, c_n1)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5277, 835, 5178, 5271])).
% 15.73/10.54 tff(5279,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5280,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5281,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5280, 5279])).
% 15.73/10.54 tff(5282,plain,
% 15.73/10.54 (~node2(s61)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5281, 787, 5278])).
% 15.73/10.54 tff(5283,plain,
% 15.73/10.54 (((~![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(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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5284,plain,
% 15.73/10.54 (((~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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5285,plain,
% 15.73/10.54 (((~![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))))),
% 15.73/10.54 inference(monotonicity,[status(thm)],[5284])).
% 15.73/10.54 tff(5286,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(transitivity,[status(thm)],[5285, 5283])).
% 15.73/10.54 tff(5287,plain,
% 15.73/10.54 ((~![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))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5288,plain,
% 15.73/10.54 ((~![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(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 15.73/10.54 tff(5289,plain,
% 15.73/10.54 (m_main_v_state1(s61, c_t1)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5288, 856, 5174, 5271])).
% 15.73/10.54 tff(5290,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5291,plain,
% 15.73/10.54 ((~![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)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5292,plain,
% 15.73/10.54 ((~![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))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5291, 5290])).
% 15.73/10.54 tff(5293,plain,
% 15.73/10.54 (~m_main_v_state2(s61, c_t2)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5292, 77, 5221])).
% 15.73/10.54 tff(5294,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5295,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5296,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 15.73/10.54 tff(5297,plain,
% 15.73/10.54 (~node1(s61)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5296, 195, 5293])).
% 15.73/10.54 tff(5298,plain,
% 15.73/10.54 (succ(s61, s62) <=> succ(s61, s62)),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5299,axiom,(succ(s61, s62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound62')).
% 15.73/10.54 tff(5300,plain,
% 15.73/10.54 (succ(s61, s62)),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 15.73/10.54 tff(5301,plain,
% 15.73/10.54 (((~![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))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5302,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5303,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 15.73/10.54 tff(5304,plain,
% 15.73/10.54 (trans(s61, s62)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5303, 5300, 32])).
% 15.73/10.54 tff(5305,plain,
% 15.73/10.54 (((~![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))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5306,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5307,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62)),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5306, 5305])).
% 15.73/10.54 tff(5308,plain,
% 15.73/10.54 (node7(s61, s62)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5307, 206, 5304])).
% 15.73/10.54 tff(5309,plain,
% 15.73/10.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5310,plain,
% 15.73/10.54 (((~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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5311,plain,
% 15.73/10.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 15.73/10.54 inference(monotonicity,[status(thm)],[5310])).
% 15.73/10.54 tff(5312,plain,
% 15.73/10.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.73/10.54 inference(transitivity,[status(thm)],[5311, 5309])).
% 15.73/10.54 tff(5313,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5314,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5313, 5312])).
% 15.73/10.54 tff(5315,plain,
% 15.73/10.54 ((~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)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5314, 892, 5308])).
% 15.73/10.54 tff(5316,plain,
% 15.73/10.54 (m_main_v_state1(s62, c_c1)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5315, 5297, 5221, 5289, 5282, 5229])).
% 15.73/10.54 tff(5317,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5318,plain,
% 15.73/10.54 ((~![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)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5319,plain,
% 15.73/10.54 ((~![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))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5318, 5317])).
% 15.73/10.54 tff(5320,plain,
% 15.73/10.54 (~m_main_v_state1(s62, c_t1)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5319, 539, 5316])).
% 15.73/10.54 tff(5321,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5322,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5323,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5322, 5321])).
% 15.73/10.54 tff(5324,plain,
% 15.73/10.54 (~node5(s62)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5323, 550, 5320])).
% 15.73/10.54 tff(5325,plain,
% 15.73/10.54 (((~![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))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5326,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5327,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62)),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5326, 5325])).
% 15.73/10.54 tff(5328,plain,
% 15.73/10.54 (node14(s61, s62)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5327, 46, 5304])).
% 15.73/10.54 tff(5329,plain,
% 15.73/10.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5330,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5331,plain,
% 15.73/10.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2)),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5330, 5329])).
% 15.73/10.54 tff(5332,plain,
% 15.73/10.54 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state2(s62, c_t2)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5331, 922, 5328])).
% 15.73/10.54 tff(5333,plain,
% 15.73/10.54 (m_main_v_state2(s62, c_t2)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5332, 5289, 5221])).
% 15.73/10.54 tff(5334,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5335,plain,
% 15.73/10.54 ((~![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)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5336,plain,
% 15.73/10.54 ((~![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))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 15.73/10.54 tff(5337,plain,
% 15.73/10.54 (~m_main_v_state2(s62, c_n2)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5336, 77, 5333])).
% 15.73/10.54 tff(5338,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5339,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5340,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5339, 5338])).
% 15.73/10.54 tff(5341,plain,
% 15.73/10.54 (~node4(s62)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5340, 388, 5337])).
% 15.73/10.54 tff(5342,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5343,plain,
% 15.73/10.54 ((~![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)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5344,plain,
% 15.73/10.54 ((~![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))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 15.73/10.54 tff(5345,plain,
% 15.73/10.54 (~m_main_v_state2(s62, c_c2)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5344, 260, 5333])).
% 15.73/10.54 tff(5346,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5347,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5348,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 15.73/10.54 tff(5349,plain,
% 15.73/10.54 (~node3(s62)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5348, 399, 5345])).
% 15.73/10.54 tff(5350,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5351,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5352,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 15.73/10.54 tff(5353,plain,
% 15.73/10.54 (~node2(s62)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5352, 410, 5337])).
% 15.73/10.54 tff(5354,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5355,plain,
% 15.73/10.54 ((~![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)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.54 tff(5356,plain,
% 15.73/10.54 ((~![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))),
% 15.73/10.54 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 15.73/10.54 tff(5357,plain,
% 15.73/10.54 (~m_main_v_state1(s62, c_n1)),
% 15.73/10.54 inference(unit_resolution,[status(thm)],[5356, 454, 5316])).
% 15.73/10.54 tff(5358,plain,
% 15.73/10.54 (((~![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)))),
% 15.73/10.54 inference(rewrite,[status(thm)],[])).
% 15.73/10.54 tff(5359,plain,
% 15.73/10.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 15.73/10.54 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5360,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 15.73/10.55 tff(5361,plain,
% 15.73/10.55 (~node1(s62)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5360, 421, 5357])).
% 15.73/10.55 tff(5362,plain,
% 15.73/10.55 (succ(s62, s63) <=> succ(s62, s63)),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5363,axiom,(succ(s62, s63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound63')).
% 15.73/10.55 tff(5364,plain,
% 15.73/10.55 (succ(s62, s63)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 15.73/10.55 tff(5365,plain,
% 15.73/10.55 (((~![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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5366,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5367,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 15.73/10.55 tff(5368,plain,
% 15.73/10.55 (trans(s62, s63)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5367, 5364, 32])).
% 15.73/10.55 tff(5369,plain,
% 15.73/10.55 (((~![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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5370,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5371,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5370, 5369])).
% 15.73/10.55 tff(5372,plain,
% 15.73/10.55 (node7(s62, s63)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5371, 206, 5368])).
% 15.73/10.55 tff(5373,plain,
% 15.73/10.55 (((~![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(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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5374,plain,
% 15.73/10.55 (((~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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5375,plain,
% 15.73/10.55 (((~![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(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))))),
% 15.73/10.55 inference(monotonicity,[status(thm)],[5374])).
% 15.73/10.55 tff(5376,plain,
% 15.73/10.55 (((~![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(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)))),
% 15.73/10.55 inference(transitivity,[status(thm)],[5375, 5373])).
% 15.73/10.55 tff(5377,plain,
% 15.73/10.55 ((~![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(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5378,plain,
% 15.73/10.55 ((~![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(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 15.73/10.55 tff(5379,plain,
% 15.73/10.55 (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5378, 584, 5372])).
% 15.73/10.55 tff(5380,plain,
% 15.73/10.55 (m_main_v_state1(s63, c_n1)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5379, 5361, 5316, 5353, 5349, 5341, 5324])).
% 15.73/10.55 tff(5381,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5382,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5383,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 15.73/10.55 tff(5384,plain,
% 15.73/10.55 (~node15(s61)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5383, 103, 5293])).
% 15.73/10.55 tff(5385,plain,
% 15.73/10.55 (((~![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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5386,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5387,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 15.73/10.55 tff(5388,plain,
% 15.73/10.55 (node18(s61, s62)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5387, 125, 5304])).
% 15.73/10.55 tff(5389,plain,
% 15.73/10.55 (((~![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(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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5390,plain,
% 15.73/10.55 (((~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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5391,plain,
% 15.73/10.55 (((~![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(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)))),
% 15.73/10.55 inference(monotonicity,[status(thm)],[5390])).
% 15.73/10.55 tff(5392,plain,
% 15.73/10.55 (((~![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(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))),
% 15.73/10.55 inference(transitivity,[status(thm)],[5391, 5389])).
% 15.73/10.55 tff(5393,plain,
% 15.73/10.55 ((~![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(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5394,plain,
% 15.73/10.55 ((~![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(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)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 15.73/10.55 tff(5395,plain,
% 15.73/10.55 (node15(s61) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5394, 992, 5388])).
% 15.73/10.55 tff(5396,plain,
% 15.73/10.55 (m_main_v_turn(s62, c_1)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5395, 5384, 5221, 5289])).
% 15.73/10.55 tff(5397,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5398,plain,
% 15.73/10.55 ((~![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)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5399,plain,
% 15.73/10.55 ((~![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))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 15.73/10.55 tff(5400,plain,
% 15.73/10.55 (~m_main_v_turn(s62, c_2)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5399, 156, 5396])).
% 15.73/10.55 tff(5401,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5402,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5403,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 15.73/10.55 tff(5404,plain,
% 15.73/10.55 (~node12(s62)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5403, 184, 5400])).
% 15.73/10.55 tff(5405,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5406,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5407,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 15.73/10.55 tff(5408,plain,
% 15.73/10.55 (~node8(s62)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5407, 271, 5337])).
% 15.73/10.55 tff(5409,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5410,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5411,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 15.73/10.55 tff(5412,plain,
% 15.73/10.55 (~node9(s62)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5411, 88, 5337])).
% 15.73/10.55 tff(5413,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5414,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5415,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5414, 5413])).
% 15.73/10.55 tff(5416,plain,
% 15.73/10.55 (~node10(s62)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5415, 249, 5337])).
% 15.73/10.55 tff(5417,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5418,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5419,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5418, 5417])).
% 15.73/10.55 tff(5420,plain,
% 15.73/10.55 (~node11(s62)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5419, 238, 5357])).
% 15.73/10.55 tff(5421,plain,
% 15.73/10.55 (((~![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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5422,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5423,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5422, 5421])).
% 15.73/10.55 tff(5424,plain,
% 15.73/10.55 (node14(s62, s63)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5423, 46, 5368])).
% 15.73/10.55 tff(5425,plain,
% 15.73/10.55 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5426,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5427,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5426, 5425])).
% 15.73/10.55 tff(5428,plain,
% 15.73/10.55 (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5427, 296, 5424])).
% 15.73/10.55 tff(5429,plain,
% 15.73/10.55 (node13(s62, s63)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5428, 5420, 5345, 5416, 5412, 5408, 5404])).
% 15.73/10.55 tff(5430,plain,
% 15.73/10.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5431,plain,
% 15.73/10.55 (((~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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5432,plain,
% 15.73/10.55 (((~![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))))),
% 15.73/10.55 inference(monotonicity,[status(thm)],[5431])).
% 15.73/10.55 tff(5433,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(transitivity,[status(thm)],[5432, 5430])).
% 15.73/10.55 tff(5434,plain,
% 15.73/10.55 ((~![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))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5435,plain,
% 15.73/10.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5434, 5433])).
% 15.73/10.55 tff(5436,plain,
% 15.73/10.55 (m_main_v_state2(s63, c_t2)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5435, 518, 5333, 5429])).
% 15.73/10.55 tff(5437,plain,
% 15.73/10.55 (succ(s63, s64) <=> succ(s63, s64)),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5438,axiom,(succ(s63, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound64')).
% 15.73/10.55 tff(5439,plain,
% 15.73/10.55 (succ(s63, s64)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5438, 5437])).
% 15.73/10.55 tff(5440,plain,
% 15.73/10.55 (((~![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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5441,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5442,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 15.73/10.55 tff(5443,plain,
% 15.73/10.55 (trans(s63, s64)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5442, 5439, 32])).
% 15.73/10.55 tff(5444,plain,
% 15.73/10.55 (((~![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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5445,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s63, s64)) | node7(s63, s64))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5446,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s63, s64)) | node7(s63, s64)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5445, 5444])).
% 15.73/10.55 tff(5447,plain,
% 15.73/10.55 (node7(s63, s64)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5446, 206, 5443])).
% 15.73/10.55 tff(5448,plain,
% 15.73/10.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5449,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5450,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5449, 5448])).
% 15.73/10.55 tff(5451,plain,
% 15.73/10.55 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_state1(s64, c_t1)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5450, 651, 5447])).
% 15.73/10.55 tff(5452,plain,
% 15.73/10.55 (m_main_v_state1(s64, c_t1)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5451, 5436, 5380])).
% 15.73/10.55 tff(5453,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5454,plain,
% 15.73/10.55 ((~![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)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5455,plain,
% 15.73/10.55 ((~![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))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5454, 5453])).
% 15.73/10.55 tff(5456,plain,
% 15.73/10.55 (~m_main_v_state1(s64, c_n1)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5455, 10, 5452])).
% 15.73/10.55 tff(5457,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5458,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s64, c_n1) | (~node1(s64)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5459,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s64, c_n1) | (~node1(s64))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5458, 5457])).
% 15.73/10.55 tff(5460,plain,
% 15.73/10.55 (~node1(s64)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5459, 421, 5456])).
% 15.73/10.55 tff(5461,plain,
% 15.73/10.55 (((~![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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5462,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s63, s64)) | node18(s63, s64))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5463,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s63, s64)) | node18(s63, s64)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5462, 5461])).
% 15.73/10.55 tff(5464,plain,
% 15.73/10.55 (node18(s63, s64)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5463, 125, 5443])).
% 15.73/10.55 tff(5465,plain,
% 15.73/10.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5466,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5467,plain,
% 15.73/10.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2)),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 15.73/10.55 tff(5468,plain,
% 15.73/10.55 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_turn(s64, c_2)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5467, 760, 5464])).
% 15.73/10.55 tff(5469,plain,
% 15.73/10.55 (m_main_v_turn(s64, c_2)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5468, 5436, 5380])).
% 15.73/10.55 tff(5470,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5471,plain,
% 15.73/10.55 ((~![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)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5472,plain,
% 15.73/10.55 ((~![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))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5471, 5470])).
% 15.73/10.55 tff(5473,plain,
% 15.73/10.55 (~m_main_v_turn(s64, c_1)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5472, 156, 5469])).
% 15.73/10.55 tff(5474,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5475,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s64, c_1) | (~node5(s64)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5476,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s64, c_1) | (~node5(s64))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5475, 5474])).
% 15.73/10.55 tff(5477,plain,
% 15.73/10.55 (~node5(s64)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5476, 776, 5473])).
% 15.73/10.55 tff(5478,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5479,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s64, c_n1) | (~node2(s64)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5480,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s64, c_n1) | (~node2(s64))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5479, 5478])).
% 15.73/10.55 tff(5481,plain,
% 15.73/10.55 (~node2(s64)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5480, 787, 5456])).
% 15.73/10.55 tff(5482,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5483,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s64, c_n1) | (~node3(s64)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5484,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s64, c_n1) | (~node3(s64))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5483, 5482])).
% 15.73/10.55 tff(5485,plain,
% 15.73/10.55 (~node3(s64)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5484, 798, 5456])).
% 15.73/10.55 tff(5486,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5487,plain,
% 15.73/10.55 ((~![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)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5488,plain,
% 15.73/10.55 ((~![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))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 15.73/10.55 tff(5489,plain,
% 15.73/10.55 (~m_main_v_state1(s64, c_c1)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5488, 539, 5452])).
% 15.73/10.55 tff(5490,plain,
% 15.73/10.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5491,plain,
% 15.73/10.55 (((~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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5492,plain,
% 15.73/10.55 (((~![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))))),
% 15.73/10.55 inference(monotonicity,[status(thm)],[5491])).
% 15.73/10.55 tff(5493,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(transitivity,[status(thm)],[5492, 5490])).
% 15.73/10.55 tff(5494,plain,
% 15.73/10.55 ((~![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)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5495,plain,
% 15.73/10.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 15.73/10.55 tff(5496,plain,
% 15.73/10.55 (~m_main_v_state2(s63, c_n2)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5495, 311, 5337, 5429])).
% 15.73/10.55 tff(5497,plain,
% 15.73/10.55 (((~![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)))),
% 15.73/10.55 inference(rewrite,[status(thm)],[])).
% 15.73/10.55 tff(5498,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 15.73/10.55 inference(quant_inst,[status(thm)],[])).
% 15.73/10.55 tff(5499,plain,
% 15.73/10.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63))),
% 15.73/10.55 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 15.73/10.55 tff(5500,plain,
% 15.73/10.55 (~node9(s63)),
% 15.73/10.55 inference(unit_resolution,[status(thm)],[5499, 88, 5496])).
% 15.73/10.56 tff(5501,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5502,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5503,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5502, 5501])).
% 15.73/10.56 tff(5504,plain,
% 15.73/10.56 (~node10(s63)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5503, 249, 5496])).
% 15.73/10.56 tff(5505,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5506,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5507,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 15.73/10.56 tff(5508,plain,
% 15.73/10.56 (~node8(s63)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5507, 271, 5496])).
% 15.73/10.56 tff(5509,plain,
% 15.73/10.56 (((~![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))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5510,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5511,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64)),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 15.73/10.56 tff(5512,plain,
% 15.73/10.56 (node14(s63, s64)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5511, 46, 5443])).
% 15.73/10.56 tff(5513,plain,
% 15.73/10.56 (((~![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(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))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5514,plain,
% 15.73/10.56 ((~![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(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))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5515,plain,
% 15.73/10.56 ((~![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(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)),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 15.73/10.56 tff(5516,plain,
% 15.73/10.56 ((~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)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5515, 617, 5512])).
% 15.73/10.56 tff(5517,plain,
% 15.73/10.56 (m_main_v_state2(s64, c_c2)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5516, 5508, 5380, 5436, 5504, 5500])).
% 15.73/10.56 tff(5518,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5519,plain,
% 15.73/10.56 ((~![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)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5520,plain,
% 15.73/10.56 ((~![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))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5519, 5518])).
% 15.73/10.56 tff(5521,plain,
% 15.73/10.56 (~m_main_v_state2(s64, c_n2)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5520, 697, 5517])).
% 15.73/10.56 tff(5522,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5523,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s64, c_n2) | (~node4(s64)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5524,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s64, c_n2) | (~node4(s64))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 15.73/10.56 tff(5525,plain,
% 15.73/10.56 (~node4(s64)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5524, 388, 5521])).
% 15.73/10.56 tff(5526,plain,
% 15.73/10.56 (succ(s64, s65) <=> succ(s64, s65)),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5527,axiom,(succ(s64, s65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound65')).
% 15.73/10.56 tff(5528,plain,
% 15.73/10.56 (succ(s64, s65)),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5527, 5526])).
% 15.73/10.56 tff(5529,plain,
% 15.73/10.56 (((~![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))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5530,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5531,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5530, 5529])).
% 15.73/10.56 tff(5532,plain,
% 15.73/10.56 (trans(s64, s65)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5531, 5528, 32])).
% 15.73/10.56 tff(5533,plain,
% 15.73/10.56 (((~![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))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5534,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s64, s65)) | node7(s64, s65))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5535,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s64, s65)) | node7(s64, s65)),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 15.73/10.56 tff(5536,plain,
% 15.73/10.56 (node7(s64, s65)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5535, 206, 5532])).
% 15.73/10.56 tff(5537,plain,
% 15.73/10.56 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5538,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5539,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 15.73/10.56 tff(5540,plain,
% 15.73/10.56 (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5539, 820, 5536])).
% 15.73/10.56 tff(5541,plain,
% 15.73/10.56 (node6(s64, s65)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5540, 5525, 5489, 5485, 5481, 5477, 5460])).
% 15.73/10.56 tff(5542,plain,
% 15.73/10.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5543,plain,
% 15.73/10.56 (((~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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5544,plain,
% 15.73/10.56 (((~![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))))),
% 15.73/10.56 inference(monotonicity,[status(thm)],[5543])).
% 15.73/10.56 tff(5545,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(transitivity,[status(thm)],[5544, 5542])).
% 15.73/10.56 tff(5546,plain,
% 15.73/10.56 ((~![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))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5547,plain,
% 15.73/10.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 15.73/10.56 tff(5548,plain,
% 15.73/10.56 (m_main_v_state1(s65, c_t1)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5547, 856, 5452, 5541])).
% 15.73/10.56 tff(5549,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5550,plain,
% 15.73/10.56 ((~![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)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5551,plain,
% 15.73/10.56 ((~![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))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5550, 5549])).
% 15.73/10.56 tff(5552,plain,
% 15.73/10.56 (~m_main_v_state2(s64, c_t2)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5551, 260, 5517])).
% 15.73/10.56 tff(5553,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5554,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s64, c_t2) | (~node12(s64)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5555,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s64, c_t2) | (~node12(s64))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 15.73/10.56 tff(5556,plain,
% 15.73/10.56 (~node12(s64)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5555, 633, 5552])).
% 15.73/10.56 tff(5557,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5558,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s64, c_n1) | (~node11(s64)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5559,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s64, c_n1) | (~node11(s64))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 15.73/10.56 tff(5560,plain,
% 15.73/10.56 (~node11(s64)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5559, 238, 5456])).
% 15.73/10.56 tff(5561,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5562,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s64, c_c1) | (~node10(s64)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5563,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s64, c_c1) | (~node10(s64))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 15.73/10.56 tff(5564,plain,
% 15.73/10.56 (~node10(s64)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5563, 675, 5489])).
% 15.73/10.56 tff(5565,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5566,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s64, c_n1) | (~node9(s64)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5567,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s64, c_n1) | (~node9(s64))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 15.73/10.56 tff(5568,plain,
% 15.73/10.56 (~node9(s64)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5567, 686, 5456])).
% 15.73/10.56 tff(5569,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5570,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s64, c_n2) | (~node8(s64)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5571,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s64, c_n2) | (~node8(s64))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5570, 5569])).
% 15.73/10.56 tff(5572,plain,
% 15.73/10.56 (~node8(s64)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5571, 271, 5521])).
% 15.73/10.56 tff(5573,plain,
% 15.73/10.56 (((~![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))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5574,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s65)) | node14(s64, s65))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5575,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s65)) | node14(s64, s65)),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 15.73/10.56 tff(5576,plain,
% 15.73/10.56 (node14(s64, s65)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5575, 46, 5532])).
% 15.73/10.56 tff(5577,plain,
% 15.73/10.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5578,plain,
% 15.73/10.56 (((~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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5579,plain,
% 15.73/10.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 15.73/10.56 inference(monotonicity,[status(thm)],[5578])).
% 15.73/10.56 tff(5580,plain,
% 15.73/10.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 15.73/10.56 inference(transitivity,[status(thm)],[5579, 5577])).
% 15.73/10.56 tff(5581,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5582,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 15.73/10.56 tff(5583,plain,
% 15.73/10.56 (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~m_main_v_state2(s64, c_c2))),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5582, 726, 5576])).
% 15.73/10.56 tff(5584,plain,
% 15.73/10.56 (m_main_v_state2(s65, c_n2)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5583, 5572, 5517, 5568, 5564, 5560, 5556])).
% 15.73/10.56 tff(5585,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5586,plain,
% 15.73/10.56 ((~![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)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5587,plain,
% 15.73/10.56 ((~![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))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5586, 5585])).
% 15.73/10.56 tff(5588,plain,
% 15.73/10.56 (~m_main_v_state2(s65, c_t2)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5587, 77, 5584])).
% 15.73/10.56 tff(5589,plain,
% 15.73/10.56 (((~![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)))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5590,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s65, c_t2) | (~node15(s65)))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5591,plain,
% 15.73/10.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s65, c_t2) | (~node15(s65))),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 15.73/10.56 tff(5592,plain,
% 15.73/10.56 (~node15(s65)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5591, 103, 5588])).
% 15.73/10.56 tff(5593,plain,
% 15.73/10.56 (succ(s65, s66) <=> succ(s65, s66)),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5594,axiom,(succ(s65, s66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound66')).
% 15.73/10.56 tff(5595,plain,
% 15.73/10.56 (succ(s65, s66)),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 15.73/10.56 tff(5596,plain,
% 15.73/10.56 (((~![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))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5597,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5598,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5597, 5596])).
% 15.73/10.56 tff(5599,plain,
% 15.73/10.56 (trans(s65, s66)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5598, 5595, 32])).
% 15.73/10.56 tff(5600,plain,
% 15.73/10.56 (((~![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))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5601,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s65, s66)) | node18(s65, s66))),
% 15.73/10.56 inference(quant_inst,[status(thm)],[])).
% 15.73/10.56 tff(5602,plain,
% 15.73/10.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s65, s66)) | node18(s65, s66)),
% 15.73/10.56 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 15.73/10.56 tff(5603,plain,
% 15.73/10.56 (node18(s65, s66)),
% 15.73/10.56 inference(unit_resolution,[status(thm)],[5602, 125, 5599])).
% 15.73/10.56 tff(5604,plain,
% 15.73/10.56 (((~![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(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))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5605,plain,
% 15.73/10.56 (((~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))),
% 15.73/10.56 inference(rewrite,[status(thm)],[])).
% 15.73/10.56 tff(5606,plain,
% 15.73/10.56 (((~![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(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)))),
% 15.77/10.56 inference(monotonicity,[status(thm)],[5605])).
% 15.77/10.56 tff(5607,plain,
% 15.77/10.56 (((~![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(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))),
% 15.77/10.56 inference(transitivity,[status(thm)],[5606, 5604])).
% 15.77/10.56 tff(5608,plain,
% 15.77/10.56 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1))),
% 15.77/10.56 inference(quant_inst,[status(thm)],[])).
% 15.77/10.56 tff(5609,plain,
% 15.77/10.56 ((~![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(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)),
% 15.77/10.56 inference(modus_ponens,[status(thm)],[5608, 5607])).
% 15.77/10.56 tff(5610,plain,
% 15.77/10.56 (node15(s65) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)),
% 15.77/10.56 inference(unit_resolution,[status(thm)],[5609, 992, 5603])).
% 15.77/10.56 tff(5611,plain,
% 15.77/10.56 (m_main_v_turn(s66, c_1)),
% 15.77/10.56 inference(unit_resolution,[status(thm)],[5610, 5592, 5584, 5548])).
% 15.77/10.56 tff(5612,plain,
% 15.77/10.56 (((~![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)))),
% 15.77/10.56 inference(rewrite,[status(thm)],[])).
% 15.77/10.56 tff(5613,plain,
% 15.77/10.56 ((~![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)))),
% 15.77/10.56 inference(quant_inst,[status(thm)],[])).
% 15.77/10.56 tff(5614,plain,
% 15.77/10.56 ((~![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))),
% 15.77/10.56 inference(modus_ponens,[status(thm)],[5613, 5612])).
% 15.77/10.56 tff(5615,plain,
% 15.77/10.56 (~m_main_v_turn(s66, c_2)),
% 15.77/10.56 inference(unit_resolution,[status(thm)],[5614, 156, 5611])).
% 15.77/10.56 tff(5616,plain,
% 15.77/10.56 (((~![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)))),
% 15.77/10.56 inference(rewrite,[status(thm)],[])).
% 15.77/10.56 tff(5617,plain,
% 15.77/10.56 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s66, c_2) | (~node12(s66)))),
% 15.77/10.56 inference(quant_inst,[status(thm)],[])).
% 15.77/10.56 tff(5618,plain,
% 15.77/10.56 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s66, c_2) | (~node12(s66))),
% 15.77/10.56 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 15.77/10.56 tff(5619,plain,
% 15.77/10.56 (~node12(s66)),
% 15.77/10.56 inference(unit_resolution,[status(thm)],[5618, 184, 5615])).
% 15.77/10.56 tff(5620,plain,
% 15.77/10.56 (((~![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))),
% 15.77/10.56 inference(rewrite,[status(thm)],[])).
% 15.77/10.56 tff(5621,plain,
% 15.77/10.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s65, s66)) | node14(s65, s66))),
% 15.77/10.56 inference(quant_inst,[status(thm)],[])).
% 15.77/10.56 tff(5622,plain,
% 15.77/10.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s65, s66)) | node14(s65, s66)),
% 15.77/10.56 inference(modus_ponens,[status(thm)],[5621, 5620])).
% 15.77/10.56 tff(5623,plain,
% 15.77/10.56 (node14(s65, s66)),
% 15.77/10.56 inference(unit_resolution,[status(thm)],[5622, 46, 5599])).
% 15.77/10.56 tff(5624,plain,
% 15.77/10.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5625,plain,
% 15.77/10.57 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5626,plain,
% 15.77/10.57 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2)),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5625, 5624])).
% 15.77/10.57 tff(5627,plain,
% 15.77/10.57 ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state2(s66, c_t2)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5626, 922, 5623])).
% 15.77/10.57 tff(5628,plain,
% 15.77/10.57 (m_main_v_state2(s66, c_t2)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5627, 5548, 5584])).
% 15.77/10.57 tff(5629,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5630,plain,
% 15.77/10.57 ((~![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)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5631,plain,
% 15.77/10.57 ((~![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))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5630, 5629])).
% 15.77/10.57 tff(5632,plain,
% 15.77/10.57 (~m_main_v_state2(s66, c_n2)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5631, 77, 5628])).
% 15.77/10.57 tff(5633,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5634,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s66, c_n2) | (~node8(s66)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5635,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s66, c_n2) | (~node8(s66))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 15.77/10.57 tff(5636,plain,
% 15.77/10.57 (~node8(s66)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5635, 271, 5632])).
% 15.77/10.57 tff(5637,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5638,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s66, c_n2) | (~node9(s66)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5639,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s66, c_n2) | (~node9(s66))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5638, 5637])).
% 15.77/10.57 tff(5640,plain,
% 15.77/10.57 (~node9(s66)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5639, 88, 5632])).
% 15.77/10.57 tff(5641,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5642,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s66, c_n2) | (~node10(s66)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5643,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s66, c_n2) | (~node10(s66))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 15.77/10.57 tff(5644,plain,
% 15.77/10.57 (~node10(s66)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5643, 249, 5632])).
% 15.77/10.57 tff(5645,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5646,plain,
% 15.77/10.57 ((~![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)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5647,plain,
% 15.77/10.57 ((~![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))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5646, 5645])).
% 15.77/10.57 tff(5648,plain,
% 15.77/10.57 (~m_main_v_state2(s66, c_c2)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5647, 260, 5628])).
% 15.77/10.57 tff(5649,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5650,plain,
% 15.77/10.57 ((~![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)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5651,plain,
% 15.77/10.57 ((~![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))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 15.77/10.57 tff(5652,plain,
% 15.77/10.57 (~m_main_v_state2(s65, c_c2)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5651, 697, 5584])).
% 15.77/10.57 tff(5653,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5654,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s65, c_c2) | (~node3(s65)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5655,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s65, c_c2) | (~node3(s65))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5654, 5653])).
% 15.77/10.57 tff(5656,plain,
% 15.77/10.57 (~node3(s65)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5655, 399, 5652])).
% 15.77/10.57 tff(5657,plain,
% 15.77/10.57 (((~![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(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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5658,plain,
% 15.77/10.57 (((~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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5659,plain,
% 15.77/10.57 (((~![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))))),
% 15.77/10.57 inference(monotonicity,[status(thm)],[5658])).
% 15.77/10.57 tff(5660,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(transitivity,[status(thm)],[5659, 5657])).
% 15.77/10.57 tff(5661,plain,
% 15.77/10.57 ((~![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)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5662,plain,
% 15.77/10.57 ((~![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(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5661, 5660])).
% 15.77/10.57 tff(5663,plain,
% 15.77/10.57 (~m_main_v_state1(s65, c_n1)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5662, 835, 5456, 5541])).
% 15.77/10.57 tff(5664,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5665,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s65, c_n1) | (~node2(s65)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5666,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s65, c_n1) | (~node2(s65))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 15.77/10.57 tff(5667,plain,
% 15.77/10.57 (~node2(s65)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5666, 787, 5663])).
% 15.77/10.57 tff(5668,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5669,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s65, c_t2) | (~node1(s65)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5670,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s65, c_t2) | (~node1(s65))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 15.77/10.57 tff(5671,plain,
% 15.77/10.57 (~node1(s65)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5670, 195, 5588])).
% 15.77/10.57 tff(5672,plain,
% 15.77/10.57 (((~![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))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5673,plain,
% 15.77/10.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s65, s66)) | node7(s65, s66))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5674,plain,
% 15.77/10.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s65, s66)) | node7(s65, s66)),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 15.77/10.57 tff(5675,plain,
% 15.77/10.57 (node7(s65, s66)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5674, 206, 5599])).
% 15.77/10.57 tff(5676,plain,
% 15.77/10.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5677,plain,
% 15.77/10.57 (((~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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5678,plain,
% 15.77/10.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 15.77/10.57 inference(monotonicity,[status(thm)],[5677])).
% 15.77/10.57 tff(5679,plain,
% 15.77/10.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.77/10.57 inference(transitivity,[status(thm)],[5678, 5676])).
% 15.77/10.57 tff(5680,plain,
% 15.77/10.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5681,plain,
% 15.77/10.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 15.77/10.57 tff(5682,plain,
% 15.77/10.57 ((~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)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5681, 892, 5675])).
% 15.77/10.57 tff(5683,plain,
% 15.77/10.57 (m_main_v_state1(s66, c_c1)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5682, 5671, 5584, 5548, 5667, 5656])).
% 15.77/10.57 tff(5684,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5685,plain,
% 15.77/10.57 ((~![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)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5686,plain,
% 15.77/10.57 ((~![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))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5685, 5684])).
% 15.77/10.57 tff(5687,plain,
% 15.77/10.57 (~m_main_v_state1(s66, c_n1)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5686, 454, 5683])).
% 15.77/10.57 tff(5688,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5689,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s66, c_n1) | (~node11(s66)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5690,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s66, c_n1) | (~node11(s66))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5689, 5688])).
% 15.77/10.57 tff(5691,plain,
% 15.77/10.57 (~node11(s66)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5690, 238, 5687])).
% 15.77/10.57 tff(5692,plain,
% 15.77/10.57 (succ(s66, s67) <=> succ(s66, s67)),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5693,axiom,(succ(s66, s67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound67')).
% 15.77/10.57 tff(5694,plain,
% 15.77/10.57 (succ(s66, s67)),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 15.77/10.57 tff(5695,plain,
% 15.77/10.57 (((~![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))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5696,plain,
% 15.77/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5697,plain,
% 15.77/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5696, 5695])).
% 15.77/10.57 tff(5698,plain,
% 15.77/10.57 (trans(s66, s67)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5697, 5694, 32])).
% 15.77/10.57 tff(5699,plain,
% 15.77/10.57 (((~![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))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5700,plain,
% 15.77/10.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s66, s67)) | node14(s66, s67))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5701,plain,
% 15.77/10.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s66, s67)) | node14(s66, s67)),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 15.77/10.57 tff(5702,plain,
% 15.77/10.57 (node14(s66, s67)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5701, 46, 5698])).
% 15.77/10.57 tff(5703,plain,
% 15.77/10.57 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5704,plain,
% 15.77/10.57 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5705,plain,
% 15.77/10.57 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5704, 5703])).
% 15.77/10.57 tff(5706,plain,
% 15.77/10.57 (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5705, 296, 5702])).
% 15.77/10.57 tff(5707,plain,
% 15.77/10.57 (node13(s66, s67)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5706, 5691, 5648, 5644, 5640, 5636, 5619])).
% 15.77/10.57 tff(5708,plain,
% 15.77/10.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5709,plain,
% 15.77/10.57 (((~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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5710,plain,
% 15.77/10.57 (((~![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))))),
% 15.77/10.57 inference(monotonicity,[status(thm)],[5709])).
% 15.77/10.57 tff(5711,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(transitivity,[status(thm)],[5710, 5708])).
% 15.77/10.57 tff(5712,plain,
% 15.77/10.57 ((~![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)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5713,plain,
% 15.77/10.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 15.77/10.57 tff(5714,plain,
% 15.77/10.57 (~m_main_v_state2(s67, c_n2)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5713, 311, 5632, 5707])).
% 15.77/10.57 tff(5715,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5716,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s67, c_n2) | (~node9(s67)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5717,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s67, c_n2) | (~node9(s67))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 15.77/10.57 tff(5718,plain,
% 15.77/10.57 (~node9(s67)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5717, 88, 5714])).
% 15.77/10.57 tff(5719,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5720,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s67, c_n2) | (~node10(s67)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5721,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s67, c_n2) | (~node10(s67))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 15.77/10.57 tff(5722,plain,
% 15.77/10.57 (~node10(s67)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5721, 249, 5714])).
% 15.77/10.57 tff(5723,plain,
% 15.77/10.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5724,plain,
% 15.77/10.57 (((~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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5725,plain,
% 15.77/10.57 (((~![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))))),
% 15.77/10.57 inference(monotonicity,[status(thm)],[5724])).
% 15.77/10.57 tff(5726,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(transitivity,[status(thm)],[5725, 5723])).
% 15.77/10.57 tff(5727,plain,
% 15.77/10.57 ((~![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))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5728,plain,
% 15.77/10.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5727, 5726])).
% 15.77/10.57 tff(5729,plain,
% 15.77/10.57 (m_main_v_state2(s67, c_t2)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5728, 518, 5628, 5707])).
% 15.77/10.57 tff(5730,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5731,plain,
% 15.77/10.57 ((~![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)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5732,plain,
% 15.77/10.57 ((~![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))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 15.77/10.57 tff(5733,plain,
% 15.77/10.57 (~m_main_v_state1(s66, c_t1)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5732, 539, 5683])).
% 15.77/10.57 tff(5734,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5735,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s66, c_t1) | (~node5(s66)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5736,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s66, c_t1) | (~node5(s66))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5735, 5734])).
% 15.77/10.57 tff(5737,plain,
% 15.77/10.57 (~node5(s66)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5736, 550, 5733])).
% 15.77/10.57 tff(5738,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5739,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s66, c_n2) | (~node4(s66)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5740,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s66, c_n2) | (~node4(s66))),
% 15.77/10.57 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 15.77/10.57 tff(5741,plain,
% 15.77/10.57 (~node4(s66)),
% 15.77/10.57 inference(unit_resolution,[status(thm)],[5740, 388, 5632])).
% 15.77/10.57 tff(5742,plain,
% 15.77/10.57 (((~![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)))),
% 15.77/10.57 inference(rewrite,[status(thm)],[])).
% 15.77/10.57 tff(5743,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s66, c_c2) | (~node3(s66)))),
% 15.77/10.57 inference(quant_inst,[status(thm)],[])).
% 15.77/10.57 tff(5744,plain,
% 15.77/10.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s66, c_c2) | (~node3(s66))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5743, 5742])).
% 15.77/10.58 tff(5745,plain,
% 15.77/10.58 (~node3(s66)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5744, 399, 5648])).
% 15.77/10.58 tff(5746,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5747,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s66, c_n2) | (~node2(s66)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5748,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s66, c_n2) | (~node2(s66))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5747, 5746])).
% 15.77/10.58 tff(5749,plain,
% 15.77/10.58 (~node2(s66)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5748, 410, 5632])).
% 15.77/10.58 tff(5750,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5751,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s66, c_n1) | (~node1(s66)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5752,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s66, c_n1) | (~node1(s66))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5751, 5750])).
% 15.77/10.58 tff(5753,plain,
% 15.77/10.58 (~node1(s66)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5752, 421, 5687])).
% 15.77/10.58 tff(5754,plain,
% 15.77/10.58 (((~![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))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5755,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s66, s67)) | node7(s66, s67))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5756,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s66, s67)) | node7(s66, s67)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 15.77/10.58 tff(5757,plain,
% 15.77/10.58 (node7(s66, s67)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5756, 206, 5698])).
% 15.77/10.58 tff(5758,plain,
% 15.77/10.58 (((~![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(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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5759,plain,
% 15.77/10.58 (((~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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5760,plain,
% 15.77/10.58 (((~![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(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))))),
% 15.77/10.58 inference(monotonicity,[status(thm)],[5759])).
% 15.77/10.58 tff(5761,plain,
% 15.77/10.58 (((~![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(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)))),
% 15.77/10.58 inference(transitivity,[status(thm)],[5760, 5758])).
% 15.77/10.58 tff(5762,plain,
% 15.77/10.58 ((~![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(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5763,plain,
% 15.77/10.58 ((~![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(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5762, 5761])).
% 15.77/10.58 tff(5764,plain,
% 15.77/10.58 (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5763, 584, 5757])).
% 15.77/10.58 tff(5765,plain,
% 15.77/10.58 (m_main_v_state1(s67, c_n1)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5764, 5753, 5683, 5749, 5745, 5741, 5737])).
% 15.77/10.58 tff(5766,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5767,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s67, c_n2) | (~node8(s67)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5768,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s67, c_n2) | (~node8(s67))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5767, 5766])).
% 15.77/10.58 tff(5769,plain,
% 15.77/10.58 (~node8(s67)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5768, 271, 5714])).
% 15.77/10.58 tff(5770,plain,
% 15.77/10.58 (succ(s67, s68) <=> succ(s67, s68)),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5771,axiom,(succ(s67, s68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound68')).
% 15.77/10.58 tff(5772,plain,
% 15.77/10.58 (succ(s67, s68)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5771, 5770])).
% 15.77/10.58 tff(5773,plain,
% 15.77/10.58 (((~![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))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5774,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5775,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 15.77/10.58 tff(5776,plain,
% 15.77/10.58 (trans(s67, s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5775, 5772, 32])).
% 15.77/10.58 tff(5777,plain,
% 15.77/10.58 (((~![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))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5778,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s67, s68)) | node14(s67, s68))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5779,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s67, s68)) | node14(s67, s68)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5778, 5777])).
% 15.77/10.58 tff(5780,plain,
% 15.77/10.58 (node14(s67, s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5779, 46, 5776])).
% 15.77/10.58 tff(5781,plain,
% 15.77/10.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5782,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5783,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 15.77/10.58 tff(5784,plain,
% 15.77/10.58 ((~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)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5783, 617, 5780])).
% 15.77/10.58 tff(5785,plain,
% 15.77/10.58 (m_main_v_state2(s68, c_c2)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5784, 5769, 5765, 5729, 5722, 5718])).
% 15.77/10.58 tff(5786,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5787,plain,
% 15.77/10.58 ((~![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)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5788,plain,
% 15.77/10.58 ((~![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))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 15.77/10.58 tff(5789,plain,
% 15.77/10.58 (~m_main_v_state2(s68, c_t2)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5788, 260, 5785])).
% 15.77/10.58 tff(5790,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5791,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s68, c_t2) | (~node12(s68)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5792,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s68, c_t2) | (~node12(s68))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 15.77/10.58 tff(5793,plain,
% 15.77/10.58 (~node12(s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5792, 633, 5789])).
% 15.77/10.58 tff(5794,plain,
% 15.77/10.58 (((~![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))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5795,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s67, s68)) | node7(s67, s68))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5796,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s67, s68)) | node7(s67, s68)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5795, 5794])).
% 15.77/10.58 tff(5797,plain,
% 15.77/10.58 (node7(s67, s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5796, 206, 5776])).
% 15.77/10.58 tff(5798,plain,
% 15.77/10.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5799,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5800,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 15.77/10.58 tff(5801,plain,
% 15.77/10.58 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_state1(s68, c_t1)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5800, 651, 5797])).
% 15.77/10.58 tff(5802,plain,
% 15.77/10.58 (m_main_v_state1(s68, c_t1)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5801, 5729, 5765])).
% 15.77/10.58 tff(5803,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5804,plain,
% 15.77/10.58 ((~![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)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5805,plain,
% 15.77/10.58 ((~![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))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5804, 5803])).
% 15.77/10.58 tff(5806,plain,
% 15.77/10.58 (~m_main_v_state1(s68, c_n1)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5805, 10, 5802])).
% 15.77/10.58 tff(5807,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5808,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s68, c_n1) | (~node11(s68)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5809,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s68, c_n1) | (~node11(s68))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 15.77/10.58 tff(5810,plain,
% 15.77/10.58 (~node11(s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5809, 238, 5806])).
% 15.77/10.58 tff(5811,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5812,plain,
% 15.77/10.58 ((~![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)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5813,plain,
% 15.77/10.58 ((~![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))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 15.77/10.58 tff(5814,plain,
% 15.77/10.58 (~m_main_v_state1(s68, c_c1)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5813, 539, 5802])).
% 15.77/10.58 tff(5815,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5816,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s68, c_c1) | (~node10(s68)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5817,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s68, c_c1) | (~node10(s68))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5816, 5815])).
% 15.77/10.58 tff(5818,plain,
% 15.77/10.58 (~node10(s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5817, 675, 5814])).
% 15.77/10.58 tff(5819,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5820,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s68, c_n1) | (~node9(s68)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5821,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s68, c_n1) | (~node9(s68))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 15.77/10.58 tff(5822,plain,
% 15.77/10.58 (~node9(s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5821, 686, 5806])).
% 15.77/10.58 tff(5823,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5824,plain,
% 15.77/10.58 ((~![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)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5825,plain,
% 15.77/10.58 ((~![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))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 15.77/10.58 tff(5826,plain,
% 15.77/10.58 (~m_main_v_state2(s68, c_n2)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5825, 697, 5785])).
% 15.77/10.58 tff(5827,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5828,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s68, c_n2) | (~node8(s68)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5829,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s68, c_n2) | (~node8(s68))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 15.77/10.58 tff(5830,plain,
% 15.77/10.58 (~node8(s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5829, 271, 5826])).
% 15.77/10.58 tff(5831,plain,
% 15.77/10.58 (succ(s68, s69) <=> succ(s68, s69)),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5832,axiom,(succ(s68, s69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound69')).
% 15.77/10.58 tff(5833,plain,
% 15.77/10.58 (succ(s68, s69)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5832, 5831])).
% 15.77/10.58 tff(5834,plain,
% 15.77/10.58 (((~![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))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5835,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5836,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5835, 5834])).
% 15.77/10.58 tff(5837,plain,
% 15.77/10.58 (trans(s68, s69)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5836, 5833, 32])).
% 15.77/10.58 tff(5838,plain,
% 15.77/10.58 (((~![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))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5839,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s68, s69)) | node14(s68, s69))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5840,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s68, s69)) | node14(s68, s69)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 15.77/10.58 tff(5841,plain,
% 15.77/10.58 (node14(s68, s69)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5840, 46, 5837])).
% 15.77/10.58 tff(5842,plain,
% 15.77/10.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5843,plain,
% 15.77/10.58 (((~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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5844,plain,
% 15.77/10.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 15.77/10.58 inference(monotonicity,[status(thm)],[5843])).
% 15.77/10.58 tff(5845,plain,
% 15.77/10.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 15.77/10.58 inference(transitivity,[status(thm)],[5844, 5842])).
% 15.77/10.58 tff(5846,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5847,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5846, 5845])).
% 15.77/10.58 tff(5848,plain,
% 15.77/10.58 (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~m_main_v_state2(s68, c_c2))),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5847, 726, 5841])).
% 15.77/10.58 tff(5849,plain,
% 15.77/10.58 (m_main_v_state2(s69, c_n2)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5848, 5830, 5785, 5822, 5818, 5810, 5793])).
% 15.77/10.58 tff(5850,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5851,plain,
% 15.77/10.58 ((~![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)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5852,plain,
% 15.77/10.58 ((~![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))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 15.77/10.58 tff(5853,plain,
% 15.77/10.58 (~m_main_v_state2(s69, c_c2)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5852, 697, 5849])).
% 15.77/10.58 tff(5854,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5855,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s69, c_c2) | (~node3(s69)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5856,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s69, c_c2) | (~node3(s69))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5855, 5854])).
% 15.77/10.58 tff(5857,plain,
% 15.77/10.58 (~node3(s69)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5856, 399, 5853])).
% 15.77/10.58 tff(5858,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5859,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s68, c_n1) | (~node1(s68)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5860,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s68, c_n1) | (~node1(s68))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 15.77/10.58 tff(5861,plain,
% 15.77/10.58 (~node1(s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5860, 421, 5806])).
% 15.77/10.58 tff(5862,plain,
% 15.77/10.58 (((~![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))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5863,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s67, s68)) | node18(s67, s68))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5864,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s67, s68)) | node18(s67, s68)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 15.77/10.58 tff(5865,plain,
% 15.77/10.58 (node18(s67, s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5864, 125, 5776])).
% 15.77/10.58 tff(5866,plain,
% 15.77/10.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5867,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5868,plain,
% 15.77/10.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2)),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5867, 5866])).
% 15.77/10.58 tff(5869,plain,
% 15.77/10.58 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_turn(s68, c_2)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5868, 760, 5865])).
% 15.77/10.58 tff(5870,plain,
% 15.77/10.58 (m_main_v_turn(s68, c_2)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5869, 5729, 5765])).
% 15.77/10.58 tff(5871,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5872,plain,
% 15.77/10.58 ((~![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)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5873,plain,
% 15.77/10.58 ((~![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))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 15.77/10.58 tff(5874,plain,
% 15.77/10.58 (~m_main_v_turn(s68, c_1)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5873, 156, 5870])).
% 15.77/10.58 tff(5875,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5876,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s68, c_1) | (~node5(s68)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5877,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s68, c_1) | (~node5(s68))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 15.77/10.58 tff(5878,plain,
% 15.77/10.58 (~node5(s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5877, 776, 5874])).
% 15.77/10.58 tff(5879,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5880,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s68, c_n1) | (~node2(s68)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5881,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s68, c_n1) | (~node2(s68))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 15.77/10.58 tff(5882,plain,
% 15.77/10.58 (~node2(s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5881, 787, 5806])).
% 15.77/10.58 tff(5883,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5884,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s68, c_n1) | (~node3(s68)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5885,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s68, c_n1) | (~node3(s68))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 15.77/10.58 tff(5886,plain,
% 15.77/10.58 (~node3(s68)),
% 15.77/10.58 inference(unit_resolution,[status(thm)],[5885, 798, 5806])).
% 15.77/10.58 tff(5887,plain,
% 15.77/10.58 (((~![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)))),
% 15.77/10.58 inference(rewrite,[status(thm)],[])).
% 15.77/10.58 tff(5888,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s68, c_n2) | (~node4(s68)))),
% 15.77/10.58 inference(quant_inst,[status(thm)],[])).
% 15.77/10.58 tff(5889,plain,
% 15.77/10.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s68, c_n2) | (~node4(s68))),
% 15.77/10.58 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 15.77/10.59 tff(5890,plain,
% 15.77/10.59 (~node4(s68)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5889, 388, 5826])).
% 15.77/10.59 tff(5891,plain,
% 15.77/10.59 (((~![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))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5892,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s68, s69)) | node7(s68, s69))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5893,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s68, s69)) | node7(s68, s69)),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5892, 5891])).
% 15.77/10.59 tff(5894,plain,
% 15.77/10.59 (node7(s68, s69)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5893, 206, 5837])).
% 15.77/10.59 tff(5895,plain,
% 15.77/10.59 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5896,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5897,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 15.77/10.59 tff(5898,plain,
% 15.77/10.59 (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5897, 820, 5894])).
% 15.77/10.59 tff(5899,plain,
% 15.77/10.59 (node6(s68, s69)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5898, 5890, 5814, 5886, 5882, 5878, 5861])).
% 15.77/10.59 tff(5900,plain,
% 15.77/10.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5901,plain,
% 15.77/10.59 (((~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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5902,plain,
% 15.77/10.59 (((~![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))))),
% 15.77/10.59 inference(monotonicity,[status(thm)],[5901])).
% 15.77/10.59 tff(5903,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(transitivity,[status(thm)],[5902, 5900])).
% 15.77/10.59 tff(5904,plain,
% 15.77/10.59 ((~![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)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5905,plain,
% 15.77/10.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 15.77/10.59 tff(5906,plain,
% 15.77/10.59 (~m_main_v_state1(s69, c_n1)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5905, 835, 5806, 5899])).
% 15.77/10.59 tff(5907,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5908,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s69, c_n1) | (~node2(s69)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5909,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s69, c_n1) | (~node2(s69))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 15.77/10.59 tff(5910,plain,
% 15.77/10.59 (~node2(s69)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5909, 787, 5906])).
% 15.77/10.59 tff(5911,plain,
% 15.77/10.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5912,plain,
% 15.77/10.59 (((~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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5913,plain,
% 15.77/10.59 (((~![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))))),
% 15.77/10.59 inference(monotonicity,[status(thm)],[5912])).
% 15.77/10.59 tff(5914,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(transitivity,[status(thm)],[5913, 5911])).
% 15.77/10.59 tff(5915,plain,
% 15.77/10.59 ((~![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))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5916,plain,
% 15.77/10.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5915, 5914])).
% 15.77/10.59 tff(5917,plain,
% 15.77/10.59 (m_main_v_state1(s69, c_t1)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5916, 856, 5802, 5899])).
% 15.77/10.59 tff(5918,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5919,plain,
% 15.77/10.59 ((~![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)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5920,plain,
% 15.77/10.59 ((~![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))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5919, 5918])).
% 15.77/10.59 tff(5921,plain,
% 15.77/10.59 (~m_main_v_state2(s69, c_t2)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5920, 77, 5849])).
% 15.77/10.59 tff(5922,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5923,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s69, c_t2) | (~node1(s69)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5924,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s69, c_t2) | (~node1(s69))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5923, 5922])).
% 15.77/10.59 tff(5925,plain,
% 15.77/10.59 (~node1(s69)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5924, 195, 5921])).
% 15.77/10.59 tff(5926,plain,
% 15.77/10.59 (succ(s69, s70) <=> succ(s69, s70)),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5927,axiom,(succ(s69, s70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound70')).
% 15.77/10.59 tff(5928,plain,
% 15.77/10.59 (succ(s69, s70)),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5927, 5926])).
% 15.77/10.59 tff(5929,plain,
% 15.77/10.59 (((~![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))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5930,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5931,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5930, 5929])).
% 15.77/10.59 tff(5932,plain,
% 15.77/10.59 (trans(s69, s70)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5931, 5928, 32])).
% 15.77/10.59 tff(5933,plain,
% 15.77/10.59 (((~![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))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5934,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s69, s70)) | node7(s69, s70))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5935,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s69, s70)) | node7(s69, s70)),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5934, 5933])).
% 15.77/10.59 tff(5936,plain,
% 15.77/10.59 (node7(s69, s70)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5935, 206, 5932])).
% 15.77/10.59 tff(5937,plain,
% 15.77/10.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5938,plain,
% 15.77/10.59 (((~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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5939,plain,
% 15.77/10.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 15.77/10.59 inference(monotonicity,[status(thm)],[5938])).
% 15.77/10.59 tff(5940,plain,
% 15.77/10.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.77/10.59 inference(transitivity,[status(thm)],[5939, 5937])).
% 15.77/10.59 tff(5941,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5942,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5941, 5940])).
% 15.77/10.59 tff(5943,plain,
% 15.77/10.59 ((~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)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5942, 892, 5936])).
% 15.77/10.59 tff(5944,plain,
% 15.77/10.59 (m_main_v_state1(s70, c_c1)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5943, 5925, 5849, 5917, 5910, 5857])).
% 15.77/10.59 tff(5945,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5946,plain,
% 15.77/10.59 ((~![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)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5947,plain,
% 15.77/10.59 ((~![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))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5946, 5945])).
% 15.77/10.59 tff(5948,plain,
% 15.77/10.59 (~m_main_v_state1(s70, c_t1)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5947, 539, 5944])).
% 15.77/10.59 tff(5949,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5950,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s70, c_t1) | (~node5(s70)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5951,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s70, c_t1) | (~node5(s70))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5950, 5949])).
% 15.77/10.59 tff(5952,plain,
% 15.77/10.59 (~node5(s70)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5951, 550, 5948])).
% 15.77/10.59 tff(5953,plain,
% 15.77/10.59 (((~![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))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5954,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s69, s70)) | node14(s69, s70))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5955,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s69, s70)) | node14(s69, s70)),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 15.77/10.59 tff(5956,plain,
% 15.77/10.59 (node14(s69, s70)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5955, 46, 5932])).
% 15.77/10.59 tff(5957,plain,
% 15.77/10.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5958,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5959,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2)),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5958, 5957])).
% 15.77/10.59 tff(5960,plain,
% 15.77/10.59 ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state2(s70, c_t2)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5959, 922, 5956])).
% 15.77/10.59 tff(5961,plain,
% 15.77/10.59 (m_main_v_state2(s70, c_t2)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5960, 5917, 5849])).
% 15.77/10.59 tff(5962,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5963,plain,
% 15.77/10.59 ((~![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)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5964,plain,
% 15.77/10.59 ((~![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))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5963, 5962])).
% 15.77/10.59 tff(5965,plain,
% 15.77/10.59 (~m_main_v_state2(s70, c_n2)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5964, 77, 5961])).
% 15.77/10.59 tff(5966,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5967,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s70, c_n2) | (~node4(s70)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5968,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s70, c_n2) | (~node4(s70))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5967, 5966])).
% 15.77/10.59 tff(5969,plain,
% 15.77/10.59 (~node4(s70)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5968, 388, 5965])).
% 15.77/10.59 tff(5970,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5971,plain,
% 15.77/10.59 ((~![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)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5972,plain,
% 15.77/10.59 ((~![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))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 15.77/10.59 tff(5973,plain,
% 15.77/10.59 (~m_main_v_state2(s70, c_c2)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5972, 260, 5961])).
% 15.77/10.59 tff(5974,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5975,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s70, c_c2) | (~node3(s70)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5976,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s70, c_c2) | (~node3(s70))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 15.77/10.59 tff(5977,plain,
% 15.77/10.59 (~node3(s70)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5976, 399, 5973])).
% 15.77/10.59 tff(5978,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5979,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s70, c_n2) | (~node2(s70)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5980,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s70, c_n2) | (~node2(s70))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 15.77/10.59 tff(5981,plain,
% 15.77/10.59 (~node2(s70)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5980, 410, 5965])).
% 15.77/10.59 tff(5982,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5983,plain,
% 15.77/10.59 ((~![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)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5984,plain,
% 15.77/10.59 ((~![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))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 15.77/10.59 tff(5985,plain,
% 15.77/10.59 (~m_main_v_state1(s70, c_n1)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5984, 454, 5944])).
% 15.77/10.59 tff(5986,plain,
% 15.77/10.59 (((~![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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5987,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s70, c_n1) | (~node1(s70)))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5988,plain,
% 15.77/10.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s70, c_n1) | (~node1(s70))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 15.77/10.59 tff(5989,plain,
% 15.77/10.59 (~node1(s70)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5988, 421, 5985])).
% 15.77/10.59 tff(5990,plain,
% 15.77/10.59 (succ(s70, s71) <=> succ(s70, s71)),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5991,axiom,(succ(s70, s71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound71')).
% 15.77/10.59 tff(5992,plain,
% 15.77/10.59 (succ(s70, s71)),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 15.77/10.59 tff(5993,plain,
% 15.77/10.59 (((~![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))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5994,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5995,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5994, 5993])).
% 15.77/10.59 tff(5996,plain,
% 15.77/10.59 (trans(s70, s71)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5995, 5992, 32])).
% 15.77/10.59 tff(5997,plain,
% 15.77/10.59 (((~![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))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(5998,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s70, s71)) | node7(s70, s71))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(5999,plain,
% 15.77/10.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s70, s71)) | node7(s70, s71)),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[5998, 5997])).
% 15.77/10.59 tff(6000,plain,
% 15.77/10.59 (node7(s70, s71)),
% 15.77/10.59 inference(unit_resolution,[status(thm)],[5999, 206, 5996])).
% 15.77/10.59 tff(6001,plain,
% 15.77/10.59 (((~![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(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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(6002,plain,
% 15.77/10.59 (((~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)))),
% 15.77/10.59 inference(rewrite,[status(thm)],[])).
% 15.77/10.59 tff(6003,plain,
% 15.77/10.59 (((~![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(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))))),
% 15.77/10.59 inference(monotonicity,[status(thm)],[6002])).
% 15.77/10.59 tff(6004,plain,
% 15.77/10.59 (((~![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(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)))),
% 15.77/10.59 inference(transitivity,[status(thm)],[6003, 6001])).
% 15.77/10.59 tff(6005,plain,
% 15.77/10.59 ((~![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(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1))),
% 15.77/10.59 inference(quant_inst,[status(thm)],[])).
% 15.77/10.59 tff(6006,plain,
% 15.77/10.59 ((~![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(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71))),
% 15.77/10.59 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 15.77/10.59 tff(6007,plain,
% 15.77/10.59 (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6006, 584, 6000])).
% 15.77/10.60 tff(6008,plain,
% 15.77/10.60 (m_main_v_state1(s71, c_n1)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6007, 5989, 5944, 5981, 5977, 5969, 5952])).
% 15.77/10.60 tff(6009,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6010,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s69, c_t2) | (~node15(s69)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6011,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s69, c_t2) | (~node15(s69))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 15.77/10.60 tff(6012,plain,
% 15.77/10.60 (~node15(s69)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6011, 103, 5921])).
% 15.77/10.60 tff(6013,plain,
% 15.77/10.60 (((~![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))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6014,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s69, s70)) | node18(s69, s70))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6015,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s69, s70)) | node18(s69, s70)),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 15.77/10.60 tff(6016,plain,
% 15.77/10.60 (node18(s69, s70)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6015, 125, 5932])).
% 15.77/10.60 tff(6017,plain,
% 15.77/10.60 (((~![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(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))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6018,plain,
% 15.77/10.60 (((~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))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6019,plain,
% 15.77/10.60 (((~![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(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)))),
% 15.77/10.60 inference(monotonicity,[status(thm)],[6018])).
% 15.77/10.60 tff(6020,plain,
% 15.77/10.60 (((~![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(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))),
% 15.77/10.60 inference(transitivity,[status(thm)],[6019, 6017])).
% 15.77/10.60 tff(6021,plain,
% 15.77/10.60 ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6022,plain,
% 15.77/10.60 ((~![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(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)),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6021, 6020])).
% 15.77/10.60 tff(6023,plain,
% 15.77/10.60 (node15(s69) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6022, 992, 6016])).
% 15.77/10.60 tff(6024,plain,
% 15.77/10.60 (m_main_v_turn(s70, c_1)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6023, 6012, 5849, 5917])).
% 15.77/10.60 tff(6025,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6026,plain,
% 15.77/10.60 ((~![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)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6027,plain,
% 15.77/10.60 ((~![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))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 15.77/10.60 tff(6028,plain,
% 15.77/10.60 (~m_main_v_turn(s70, c_2)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6027, 156, 6024])).
% 15.77/10.60 tff(6029,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6030,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s70, c_2) | (~node12(s70)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6031,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s70, c_2) | (~node12(s70))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6030, 6029])).
% 15.77/10.60 tff(6032,plain,
% 15.77/10.60 (~node12(s70)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6031, 184, 6028])).
% 15.77/10.60 tff(6033,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6034,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s70, c_n2) | (~node8(s70)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6035,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s70, c_n2) | (~node8(s70))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 15.77/10.60 tff(6036,plain,
% 15.77/10.60 (~node8(s70)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6035, 271, 5965])).
% 15.77/10.60 tff(6037,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6038,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s70, c_n2) | (~node9(s70)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6039,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s70, c_n2) | (~node9(s70))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6038, 6037])).
% 15.77/10.60 tff(6040,plain,
% 15.77/10.60 (~node9(s70)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6039, 88, 5965])).
% 15.77/10.60 tff(6041,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6042,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s70, c_n2) | (~node10(s70)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6043,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s70, c_n2) | (~node10(s70))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6042, 6041])).
% 15.77/10.60 tff(6044,plain,
% 15.77/10.60 (~node10(s70)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6043, 249, 5965])).
% 15.77/10.60 tff(6045,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6046,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s70, c_n1) | (~node11(s70)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6047,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s70, c_n1) | (~node11(s70))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 15.77/10.60 tff(6048,plain,
% 15.77/10.60 (~node11(s70)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6047, 238, 5985])).
% 15.77/10.60 tff(6049,plain,
% 15.77/10.60 (((~![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))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6050,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s70, s71)) | node14(s70, s71))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6051,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s70, s71)) | node14(s70, s71)),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 15.77/10.60 tff(6052,plain,
% 15.77/10.60 (node14(s70, s71)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6051, 46, 5996])).
% 15.77/10.60 tff(6053,plain,
% 15.77/10.60 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6054,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6055,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6054, 6053])).
% 15.77/10.60 tff(6056,plain,
% 15.77/10.60 (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6055, 296, 6052])).
% 15.77/10.60 tff(6057,plain,
% 15.77/10.60 (node13(s70, s71)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6056, 6048, 5973, 6044, 6040, 6036, 6032])).
% 15.77/10.60 tff(6058,plain,
% 15.77/10.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6059,plain,
% 15.77/10.60 (((~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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6060,plain,
% 15.77/10.60 (((~![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))))),
% 15.77/10.60 inference(monotonicity,[status(thm)],[6059])).
% 15.77/10.60 tff(6061,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(transitivity,[status(thm)],[6060, 6058])).
% 15.77/10.60 tff(6062,plain,
% 15.77/10.60 ((~![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))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6063,plain,
% 15.77/10.60 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6062, 6061])).
% 15.77/10.60 tff(6064,plain,
% 15.77/10.60 (m_main_v_state2(s71, c_t2)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6063, 518, 5961, 6057])).
% 15.77/10.60 tff(6065,plain,
% 15.77/10.60 (succ(s71, s72) <=> succ(s71, s72)),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6066,axiom,(succ(s71, s72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound72')).
% 15.77/10.60 tff(6067,plain,
% 15.77/10.60 (succ(s71, s72)),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6066, 6065])).
% 15.77/10.60 tff(6068,plain,
% 15.77/10.60 (((~![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))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6069,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6070,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 15.77/10.60 tff(6071,plain,
% 15.77/10.60 (trans(s71, s72)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6070, 6067, 32])).
% 15.77/10.60 tff(6072,plain,
% 15.77/10.60 (((~![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))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6073,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s71, s72)) | node7(s71, s72))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6074,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s71, s72)) | node7(s71, s72)),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6073, 6072])).
% 15.77/10.60 tff(6075,plain,
% 15.77/10.60 (node7(s71, s72)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6074, 206, 6071])).
% 15.77/10.60 tff(6076,plain,
% 15.77/10.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6077,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6078,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1)),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6077, 6076])).
% 15.77/10.60 tff(6079,plain,
% 15.77/10.60 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_state1(s72, c_t1)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6078, 651, 6075])).
% 15.77/10.60 tff(6080,plain,
% 15.77/10.60 (m_main_v_state1(s72, c_t1)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6079, 6064, 6008])).
% 15.77/10.60 tff(6081,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6082,plain,
% 15.77/10.60 ((~![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)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6083,plain,
% 15.77/10.60 ((~![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))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6082, 6081])).
% 15.77/10.60 tff(6084,plain,
% 15.77/10.60 (~m_main_v_state1(s72, c_n1)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6083, 10, 6080])).
% 15.77/10.60 tff(6085,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6086,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s72, c_n1) | (~node1(s72)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6087,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s72, c_n1) | (~node1(s72))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 15.77/10.60 tff(6088,plain,
% 15.77/10.60 (~node1(s72)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6087, 421, 6084])).
% 15.77/10.60 tff(6089,plain,
% 15.77/10.60 (((~![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))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6090,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s71, s72)) | node18(s71, s72))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6091,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s71, s72)) | node18(s71, s72)),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6090, 6089])).
% 15.77/10.60 tff(6092,plain,
% 15.77/10.60 (node18(s71, s72)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6091, 125, 6071])).
% 15.77/10.60 tff(6093,plain,
% 15.77/10.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6094,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6095,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2)),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6094, 6093])).
% 15.77/10.60 tff(6096,plain,
% 15.77/10.60 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_turn(s72, c_2)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6095, 760, 6092])).
% 15.77/10.60 tff(6097,plain,
% 15.77/10.60 (m_main_v_turn(s72, c_2)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6096, 6064, 6008])).
% 15.77/10.60 tff(6098,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6099,plain,
% 15.77/10.60 ((~![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)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6100,plain,
% 15.77/10.60 ((~![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))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6099, 6098])).
% 15.77/10.60 tff(6101,plain,
% 15.77/10.60 (~m_main_v_turn(s72, c_1)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6100, 156, 6097])).
% 15.77/10.60 tff(6102,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6103,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s72, c_1) | (~node5(s72)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6104,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s72, c_1) | (~node5(s72))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 15.77/10.60 tff(6105,plain,
% 15.77/10.60 (~node5(s72)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6104, 776, 6101])).
% 15.77/10.60 tff(6106,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6107,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s72, c_n1) | (~node2(s72)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6108,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s72, c_n1) | (~node2(s72))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6107, 6106])).
% 15.77/10.60 tff(6109,plain,
% 15.77/10.60 (~node2(s72)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6108, 787, 6084])).
% 15.77/10.60 tff(6110,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6111,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s72, c_n1) | (~node3(s72)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6112,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s72, c_n1) | (~node3(s72))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 15.77/10.60 tff(6113,plain,
% 15.77/10.60 (~node3(s72)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6112, 798, 6084])).
% 15.77/10.60 tff(6114,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6115,plain,
% 15.77/10.60 ((~![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)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6116,plain,
% 15.77/10.60 ((~![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))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6115, 6114])).
% 15.77/10.60 tff(6117,plain,
% 15.77/10.60 (~m_main_v_state1(s72, c_c1)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6116, 539, 6080])).
% 15.77/10.60 tff(6118,plain,
% 15.77/10.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6119,plain,
% 15.77/10.60 (((~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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6120,plain,
% 15.77/10.60 (((~![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))))),
% 15.77/10.60 inference(monotonicity,[status(thm)],[6119])).
% 15.77/10.60 tff(6121,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(transitivity,[status(thm)],[6120, 6118])).
% 15.77/10.60 tff(6122,plain,
% 15.77/10.60 ((~![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)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6123,plain,
% 15.77/10.60 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 15.77/10.60 tff(6124,plain,
% 15.77/10.60 (~m_main_v_state2(s71, c_n2)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6123, 311, 5965, 6057])).
% 15.77/10.60 tff(6125,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6126,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s71, c_n2) | (~node9(s71)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6127,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s71, c_n2) | (~node9(s71))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6126, 6125])).
% 15.77/10.60 tff(6128,plain,
% 15.77/10.60 (~node9(s71)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6127, 88, 6124])).
% 15.77/10.60 tff(6129,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6130,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s71, c_n2) | (~node10(s71)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6131,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s71, c_n2) | (~node10(s71))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 15.77/10.60 tff(6132,plain,
% 15.77/10.60 (~node10(s71)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6131, 249, 6124])).
% 15.77/10.60 tff(6133,plain,
% 15.77/10.60 (((~![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)))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6134,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s71, c_n2) | (~node8(s71)))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6135,plain,
% 15.77/10.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s71, c_n2) | (~node8(s71))),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 15.77/10.60 tff(6136,plain,
% 15.77/10.60 (~node8(s71)),
% 15.77/10.60 inference(unit_resolution,[status(thm)],[6135, 271, 6124])).
% 15.77/10.60 tff(6137,plain,
% 15.77/10.60 (((~![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))),
% 15.77/10.60 inference(rewrite,[status(thm)],[])).
% 15.77/10.60 tff(6138,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s71, s72)) | node14(s71, s72))),
% 15.77/10.60 inference(quant_inst,[status(thm)],[])).
% 15.77/10.60 tff(6139,plain,
% 15.77/10.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s71, s72)) | node14(s71, s72)),
% 15.77/10.60 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 15.77/10.61 tff(6140,plain,
% 15.77/10.61 (node14(s71, s72)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6139, 46, 6071])).
% 15.77/10.61 tff(6141,plain,
% 15.77/10.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6142,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6143,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6142, 6141])).
% 15.77/10.61 tff(6144,plain,
% 15.77/10.61 ((~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)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6143, 617, 6140])).
% 15.77/10.61 tff(6145,plain,
% 15.77/10.61 (m_main_v_state2(s72, c_c2)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6144, 6136, 6008, 6064, 6132, 6128])).
% 15.77/10.61 tff(6146,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6147,plain,
% 15.77/10.61 ((~![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)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6148,plain,
% 15.77/10.61 ((~![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))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6147, 6146])).
% 15.77/10.61 tff(6149,plain,
% 15.77/10.61 (~m_main_v_state2(s72, c_n2)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6148, 697, 6145])).
% 15.77/10.61 tff(6150,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6151,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s72, c_n2) | (~node4(s72)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6152,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s72, c_n2) | (~node4(s72))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 15.77/10.61 tff(6153,plain,
% 15.77/10.61 (~node4(s72)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6152, 388, 6149])).
% 15.77/10.61 tff(6154,plain,
% 15.77/10.61 (succ(s72, s73) <=> succ(s72, s73)),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6155,axiom,(succ(s72, s73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound73')).
% 15.77/10.61 tff(6156,plain,
% 15.77/10.61 (succ(s72, s73)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6155, 6154])).
% 15.77/10.61 tff(6157,plain,
% 15.77/10.61 (((~![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))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6158,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6159,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6158, 6157])).
% 15.77/10.61 tff(6160,plain,
% 15.77/10.61 (trans(s72, s73)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6159, 6156, 32])).
% 15.77/10.61 tff(6161,plain,
% 15.77/10.61 (((~![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))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6162,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s72, s73)) | node7(s72, s73))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6163,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s72, s73)) | node7(s72, s73)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6162, 6161])).
% 15.77/10.61 tff(6164,plain,
% 15.77/10.61 (node7(s72, s73)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6163, 206, 6160])).
% 15.77/10.61 tff(6165,plain,
% 15.77/10.61 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6166,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6167,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6166, 6165])).
% 15.77/10.61 tff(6168,plain,
% 15.77/10.61 (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6167, 820, 6164])).
% 15.77/10.61 tff(6169,plain,
% 15.77/10.61 (node6(s72, s73)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6168, 6153, 6117, 6113, 6109, 6105, 6088])).
% 15.77/10.61 tff(6170,plain,
% 15.77/10.61 (((~![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(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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6171,plain,
% 15.77/10.61 (((~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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6172,plain,
% 15.77/10.61 (((~![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))))),
% 15.77/10.61 inference(monotonicity,[status(thm)],[6171])).
% 15.77/10.61 tff(6173,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(transitivity,[status(thm)],[6172, 6170])).
% 15.77/10.61 tff(6174,plain,
% 15.77/10.61 ((~![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))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6175,plain,
% 15.77/10.61 ((~![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(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6174, 6173])).
% 15.77/10.61 tff(6176,plain,
% 15.77/10.61 (m_main_v_state1(s73, c_t1)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6175, 856, 6080, 6169])).
% 15.77/10.61 tff(6177,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6178,plain,
% 15.77/10.61 ((~![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)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6179,plain,
% 15.77/10.61 ((~![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))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6178, 6177])).
% 15.77/10.61 tff(6180,plain,
% 15.77/10.61 (~m_main_v_state2(s72, c_t2)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6179, 260, 6145])).
% 15.77/10.61 tff(6181,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6182,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s72, c_t2) | (~node12(s72)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6183,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s72, c_t2) | (~node12(s72))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6182, 6181])).
% 15.77/10.61 tff(6184,plain,
% 15.77/10.61 (~node12(s72)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6183, 633, 6180])).
% 15.77/10.61 tff(6185,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6186,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s72, c_n1) | (~node11(s72)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6187,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s72, c_n1) | (~node11(s72))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 15.77/10.61 tff(6188,plain,
% 15.77/10.61 (~node11(s72)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6187, 238, 6084])).
% 15.77/10.61 tff(6189,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6190,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s72, c_c1) | (~node10(s72)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6191,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s72, c_c1) | (~node10(s72))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 15.77/10.61 tff(6192,plain,
% 15.77/10.61 (~node10(s72)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6191, 675, 6117])).
% 15.77/10.61 tff(6193,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6194,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s72, c_n1) | (~node9(s72)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6195,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s72, c_n1) | (~node9(s72))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 15.77/10.61 tff(6196,plain,
% 15.77/10.61 (~node9(s72)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6195, 686, 6084])).
% 15.77/10.61 tff(6197,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6198,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s72, c_n2) | (~node8(s72)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6199,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s72, c_n2) | (~node8(s72))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6198, 6197])).
% 15.77/10.61 tff(6200,plain,
% 15.77/10.61 (~node8(s72)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6199, 271, 6149])).
% 15.77/10.61 tff(6201,plain,
% 15.77/10.61 (((~![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))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6202,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s72, s73)) | node14(s72, s73))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6203,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s72, s73)) | node14(s72, s73)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 15.77/10.61 tff(6204,plain,
% 15.77/10.61 (node14(s72, s73)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6203, 46, 6160])).
% 15.77/10.61 tff(6205,plain,
% 15.77/10.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6206,plain,
% 15.77/10.61 (((~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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6207,plain,
% 15.77/10.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 15.77/10.61 inference(monotonicity,[status(thm)],[6206])).
% 15.77/10.61 tff(6208,plain,
% 15.77/10.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 15.77/10.61 inference(transitivity,[status(thm)],[6207, 6205])).
% 15.77/10.61 tff(6209,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6210,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6209, 6208])).
% 15.77/10.61 tff(6211,plain,
% 15.77/10.61 (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~m_main_v_state2(s72, c_c2))),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6210, 726, 6204])).
% 15.77/10.61 tff(6212,plain,
% 15.77/10.61 (m_main_v_state2(s73, c_n2)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6211, 6200, 6145, 6196, 6192, 6188, 6184])).
% 15.77/10.61 tff(6213,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6214,plain,
% 15.77/10.61 ((~![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)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6215,plain,
% 15.77/10.61 ((~![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))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 15.77/10.61 tff(6216,plain,
% 15.77/10.61 (~m_main_v_state2(s73, c_t2)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6215, 77, 6212])).
% 15.77/10.61 tff(6217,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6218,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s73, c_t2) | (~node15(s73)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6219,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s73, c_t2) | (~node15(s73))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 15.77/10.61 tff(6220,plain,
% 15.77/10.61 (~node15(s73)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6219, 103, 6216])).
% 15.77/10.61 tff(6221,plain,
% 15.77/10.61 (succ(s73, s74) <=> succ(s73, s74)),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6222,axiom,(succ(s73, s74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound74')).
% 15.77/10.61 tff(6223,plain,
% 15.77/10.61 (succ(s73, s74)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6222, 6221])).
% 15.77/10.61 tff(6224,plain,
% 15.77/10.61 (((~![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))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6225,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6226,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6225, 6224])).
% 15.77/10.61 tff(6227,plain,
% 15.77/10.61 (trans(s73, s74)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6226, 6223, 32])).
% 15.77/10.61 tff(6228,plain,
% 15.77/10.61 (((~![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))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6229,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s73, s74)) | node18(s73, s74))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6230,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s73, s74)) | node18(s73, s74)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6229, 6228])).
% 15.77/10.61 tff(6231,plain,
% 15.77/10.61 (node18(s73, s74)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6230, 125, 6227])).
% 15.77/10.61 tff(6232,plain,
% 15.77/10.61 (((~![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(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))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6233,plain,
% 15.77/10.61 (((~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))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6234,plain,
% 15.77/10.61 (((~![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(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)))),
% 15.77/10.61 inference(monotonicity,[status(thm)],[6233])).
% 15.77/10.61 tff(6235,plain,
% 15.77/10.61 (((~![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(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))),
% 15.77/10.61 inference(transitivity,[status(thm)],[6234, 6232])).
% 15.77/10.61 tff(6236,plain,
% 15.77/10.61 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6237,plain,
% 15.77/10.61 ((~![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(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)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 15.77/10.61 tff(6238,plain,
% 15.77/10.61 (node15(s73) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6237, 992, 6231])).
% 15.77/10.61 tff(6239,plain,
% 15.77/10.61 (m_main_v_turn(s74, c_1)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6238, 6220, 6212, 6176])).
% 15.77/10.61 tff(6240,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6241,plain,
% 15.77/10.61 ((~![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)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6242,plain,
% 15.77/10.61 ((~![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))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 15.77/10.61 tff(6243,plain,
% 15.77/10.61 (~m_main_v_turn(s74, c_2)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6242, 156, 6239])).
% 15.77/10.61 tff(6244,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6245,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s74, c_2) | (~node12(s74)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6246,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s74, c_2) | (~node12(s74))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6245, 6244])).
% 15.77/10.61 tff(6247,plain,
% 15.77/10.61 (~node12(s74)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6246, 184, 6243])).
% 15.77/10.61 tff(6248,plain,
% 15.77/10.61 (((~![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))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6249,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s73, s74)) | node14(s73, s74))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6250,plain,
% 15.77/10.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s73, s74)) | node14(s73, s74)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6249, 6248])).
% 15.77/10.61 tff(6251,plain,
% 15.77/10.61 (node14(s73, s74)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6250, 46, 6227])).
% 15.77/10.61 tff(6252,plain,
% 15.77/10.61 (((~![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(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))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6253,plain,
% 15.77/10.61 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6254,plain,
% 15.77/10.61 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2)),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 15.77/10.61 tff(6255,plain,
% 15.77/10.61 ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state2(s74, c_t2)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6254, 922, 6251])).
% 15.77/10.61 tff(6256,plain,
% 15.77/10.61 (m_main_v_state2(s74, c_t2)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6255, 6176, 6212])).
% 15.77/10.61 tff(6257,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6258,plain,
% 15.77/10.61 ((~![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)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6259,plain,
% 15.77/10.61 ((~![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))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 15.77/10.61 tff(6260,plain,
% 15.77/10.61 (~m_main_v_state2(s74, c_n2)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6259, 77, 6256])).
% 15.77/10.61 tff(6261,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6262,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s74, c_n2) | (~node8(s74)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6263,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s74, c_n2) | (~node8(s74))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 15.77/10.61 tff(6264,plain,
% 15.77/10.61 (~node8(s74)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6263, 271, 6260])).
% 15.77/10.61 tff(6265,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6266,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s74, c_n2) | (~node9(s74)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6267,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s74, c_n2) | (~node9(s74))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6266, 6265])).
% 15.77/10.61 tff(6268,plain,
% 15.77/10.61 (~node9(s74)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6267, 88, 6260])).
% 15.77/10.61 tff(6269,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6270,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s74, c_n2) | (~node10(s74)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6271,plain,
% 15.77/10.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s74, c_n2) | (~node10(s74))),
% 15.77/10.61 inference(modus_ponens,[status(thm)],[6270, 6269])).
% 15.77/10.61 tff(6272,plain,
% 15.77/10.61 (~node10(s74)),
% 15.77/10.61 inference(unit_resolution,[status(thm)],[6271, 249, 6260])).
% 15.77/10.61 tff(6273,plain,
% 15.77/10.61 (((~![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)))),
% 15.77/10.61 inference(rewrite,[status(thm)],[])).
% 15.77/10.61 tff(6274,plain,
% 15.77/10.61 ((~![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)))),
% 15.77/10.61 inference(quant_inst,[status(thm)],[])).
% 15.77/10.61 tff(6275,plain,
% 15.77/10.61 ((~![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))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6274, 6273])).
% 15.77/10.62 tff(6276,plain,
% 15.77/10.62 (~m_main_v_state2(s74, c_c2)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6275, 260, 6256])).
% 15.77/10.62 tff(6277,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6278,plain,
% 15.77/10.62 ((~![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)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6279,plain,
% 15.77/10.62 ((~![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))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6278, 6277])).
% 15.77/10.62 tff(6280,plain,
% 15.77/10.62 (~m_main_v_state2(s73, c_c2)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6279, 697, 6212])).
% 15.77/10.62 tff(6281,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6282,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s73, c_c2) | (~node3(s73)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6283,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s73, c_c2) | (~node3(s73))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 15.77/10.62 tff(6284,plain,
% 15.77/10.62 (~node3(s73)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6283, 399, 6280])).
% 15.77/10.62 tff(6285,plain,
% 15.77/10.62 (((~![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(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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6286,plain,
% 15.77/10.62 (((~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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6287,plain,
% 15.77/10.62 (((~![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))))),
% 15.77/10.62 inference(monotonicity,[status(thm)],[6286])).
% 15.77/10.62 tff(6288,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(transitivity,[status(thm)],[6287, 6285])).
% 15.77/10.62 tff(6289,plain,
% 15.77/10.62 ((~![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)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6290,plain,
% 15.77/10.62 ((~![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(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 15.77/10.62 tff(6291,plain,
% 15.77/10.62 (~m_main_v_state1(s73, c_n1)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6290, 835, 6084, 6169])).
% 15.77/10.62 tff(6292,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6293,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s73, c_n1) | (~node2(s73)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6294,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s73, c_n1) | (~node2(s73))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 15.77/10.62 tff(6295,plain,
% 15.77/10.62 (~node2(s73)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6294, 787, 6291])).
% 15.77/10.62 tff(6296,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6297,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s73, c_t2) | (~node1(s73)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6298,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s73, c_t2) | (~node1(s73))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 15.77/10.62 tff(6299,plain,
% 15.77/10.62 (~node1(s73)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6298, 195, 6216])).
% 15.77/10.62 tff(6300,plain,
% 15.77/10.62 (((~![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))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6301,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s73, s74)) | node7(s73, s74))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6302,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s73, s74)) | node7(s73, s74)),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6301, 6300])).
% 15.77/10.62 tff(6303,plain,
% 15.77/10.62 (node7(s73, s74)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6302, 206, 6227])).
% 15.77/10.62 tff(6304,plain,
% 15.77/10.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6305,plain,
% 15.77/10.62 (((~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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6306,plain,
% 15.77/10.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 15.77/10.62 inference(monotonicity,[status(thm)],[6305])).
% 15.77/10.62 tff(6307,plain,
% 15.77/10.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.77/10.62 inference(transitivity,[status(thm)],[6306, 6304])).
% 15.77/10.62 tff(6308,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6309,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6308, 6307])).
% 15.77/10.62 tff(6310,plain,
% 15.77/10.62 ((~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)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6309, 892, 6303])).
% 15.77/10.62 tff(6311,plain,
% 15.77/10.62 (m_main_v_state1(s74, c_c1)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6310, 6299, 6212, 6176, 6295, 6284])).
% 15.77/10.62 tff(6312,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6313,plain,
% 15.77/10.62 ((~![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)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6314,plain,
% 15.77/10.62 ((~![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))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6313, 6312])).
% 15.77/10.62 tff(6315,plain,
% 15.77/10.62 (~m_main_v_state1(s74, c_n1)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6314, 454, 6311])).
% 15.77/10.62 tff(6316,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6317,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s74, c_n1) | (~node11(s74)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6318,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s74, c_n1) | (~node11(s74))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 15.77/10.62 tff(6319,plain,
% 15.77/10.62 (~node11(s74)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6318, 238, 6315])).
% 15.77/10.62 tff(6320,plain,
% 15.77/10.62 (succ(s74, s75) <=> succ(s74, s75)),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6321,axiom,(succ(s74, s75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound75')).
% 15.77/10.62 tff(6322,plain,
% 15.77/10.62 (succ(s74, s75)),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6321, 6320])).
% 15.77/10.62 tff(6323,plain,
% 15.77/10.62 (((~![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))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6324,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6325,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6324, 6323])).
% 15.77/10.62 tff(6326,plain,
% 15.77/10.62 (trans(s74, s75)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6325, 6322, 32])).
% 15.77/10.62 tff(6327,plain,
% 15.77/10.62 (((~![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))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6328,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s74, s75)) | node14(s74, s75))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6329,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s74, s75)) | node14(s74, s75)),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6328, 6327])).
% 15.77/10.62 tff(6330,plain,
% 15.77/10.62 (node14(s74, s75)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6329, 46, 6326])).
% 15.77/10.62 tff(6331,plain,
% 15.77/10.62 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6332,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6333,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6332, 6331])).
% 15.77/10.62 tff(6334,plain,
% 15.77/10.62 (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6333, 296, 6330])).
% 15.77/10.62 tff(6335,plain,
% 15.77/10.62 (node13(s74, s75)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6334, 6319, 6276, 6272, 6268, 6264, 6247])).
% 15.77/10.62 tff(6336,plain,
% 15.77/10.62 (((~![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(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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6337,plain,
% 15.77/10.62 (((~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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6338,plain,
% 15.77/10.62 (((~![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))))),
% 15.77/10.62 inference(monotonicity,[status(thm)],[6337])).
% 15.77/10.62 tff(6339,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(transitivity,[status(thm)],[6338, 6336])).
% 15.77/10.62 tff(6340,plain,
% 15.77/10.62 ((~![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)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6341,plain,
% 15.77/10.62 ((~![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(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6340, 6339])).
% 15.77/10.62 tff(6342,plain,
% 15.77/10.62 (~m_main_v_state2(s75, c_n2)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6341, 311, 6260, 6335])).
% 15.77/10.62 tff(6343,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6344,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s75, c_n2) | (~node9(s75)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6345,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s75, c_n2) | (~node9(s75))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 15.77/10.62 tff(6346,plain,
% 15.77/10.62 (~node9(s75)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6345, 88, 6342])).
% 15.77/10.62 tff(6347,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6348,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s75, c_n2) | (~node10(s75)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6349,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s75, c_n2) | (~node10(s75))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 15.77/10.62 tff(6350,plain,
% 15.77/10.62 (~node10(s75)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6349, 249, 6342])).
% 15.77/10.62 tff(6351,plain,
% 15.77/10.62 (((~![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(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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6352,plain,
% 15.77/10.62 (((~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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6353,plain,
% 15.77/10.62 (((~![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))))),
% 15.77/10.62 inference(monotonicity,[status(thm)],[6352])).
% 15.77/10.62 tff(6354,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(transitivity,[status(thm)],[6353, 6351])).
% 15.77/10.62 tff(6355,plain,
% 15.77/10.62 ((~![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))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6356,plain,
% 15.77/10.62 ((~![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(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6355, 6354])).
% 15.77/10.62 tff(6357,plain,
% 15.77/10.62 (m_main_v_state2(s75, c_t2)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6356, 518, 6256, 6335])).
% 15.77/10.62 tff(6358,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6359,plain,
% 15.77/10.62 ((~![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)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6360,plain,
% 15.77/10.62 ((~![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))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 15.77/10.62 tff(6361,plain,
% 15.77/10.62 (~m_main_v_state1(s74, c_t1)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6360, 539, 6311])).
% 15.77/10.62 tff(6362,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6363,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s74, c_t1) | (~node5(s74)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6364,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s74, c_t1) | (~node5(s74))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6363, 6362])).
% 15.77/10.62 tff(6365,plain,
% 15.77/10.62 (~node5(s74)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6364, 550, 6361])).
% 15.77/10.62 tff(6366,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6367,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s74, c_n2) | (~node4(s74)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6368,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s74, c_n2) | (~node4(s74))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 15.77/10.62 tff(6369,plain,
% 15.77/10.62 (~node4(s74)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6368, 388, 6260])).
% 15.77/10.62 tff(6370,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6371,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s74, c_c2) | (~node3(s74)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6372,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s74, c_c2) | (~node3(s74))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6371, 6370])).
% 15.77/10.62 tff(6373,plain,
% 15.77/10.62 (~node3(s74)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6372, 399, 6276])).
% 15.77/10.62 tff(6374,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6375,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s74, c_n2) | (~node2(s74)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6376,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s74, c_n2) | (~node2(s74))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6375, 6374])).
% 15.77/10.62 tff(6377,plain,
% 15.77/10.62 (~node2(s74)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6376, 410, 6260])).
% 15.77/10.62 tff(6378,plain,
% 15.77/10.62 (((~![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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6379,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s74, c_n1) | (~node1(s74)))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6380,plain,
% 15.77/10.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s74, c_n1) | (~node1(s74))),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 15.77/10.62 tff(6381,plain,
% 15.77/10.62 (~node1(s74)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6380, 421, 6315])).
% 15.77/10.62 tff(6382,plain,
% 15.77/10.62 (((~![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))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6383,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s74, s75)) | node7(s74, s75))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6384,plain,
% 15.77/10.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s74, s75)) | node7(s74, s75)),
% 15.77/10.62 inference(modus_ponens,[status(thm)],[6383, 6382])).
% 15.77/10.62 tff(6385,plain,
% 15.77/10.62 (node7(s74, s75)),
% 15.77/10.62 inference(unit_resolution,[status(thm)],[6384, 206, 6326])).
% 15.77/10.62 tff(6386,plain,
% 15.77/10.62 (((~![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(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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6387,plain,
% 15.77/10.62 (((~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)))),
% 15.77/10.62 inference(rewrite,[status(thm)],[])).
% 15.77/10.62 tff(6388,plain,
% 15.77/10.62 (((~![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(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))))),
% 15.77/10.62 inference(monotonicity,[status(thm)],[6387])).
% 15.77/10.62 tff(6389,plain,
% 15.77/10.62 (((~![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(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)))),
% 15.77/10.62 inference(transitivity,[status(thm)],[6388, 6386])).
% 15.77/10.62 tff(6390,plain,
% 15.77/10.62 ((~![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(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1))),
% 15.77/10.62 inference(quant_inst,[status(thm)],[])).
% 15.77/10.62 tff(6391,plain,
% 15.77/10.62 ((~![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(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6390, 6389])).
% 15.77/10.63 tff(6392,plain,
% 15.77/10.63 (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6391, 584, 6385])).
% 15.77/10.63 tff(6393,plain,
% 15.77/10.63 (m_main_v_state1(s75, c_n1)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6392, 6381, 6311, 6377, 6373, 6369, 6365])).
% 15.77/10.63 tff(6394,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6395,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s75, c_n2) | (~node8(s75)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6396,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s75, c_n2) | (~node8(s75))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6395, 6394])).
% 15.77/10.63 tff(6397,plain,
% 15.77/10.63 (~node8(s75)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6396, 271, 6342])).
% 15.77/10.63 tff(6398,plain,
% 15.77/10.63 (succ(s75, s76) <=> succ(s75, s76)),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6399,axiom,(succ(s75, s76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound76')).
% 15.77/10.63 tff(6400,plain,
% 15.77/10.63 (succ(s75, s76)),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6399, 6398])).
% 15.77/10.63 tff(6401,plain,
% 15.77/10.63 (((~![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))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6402,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6403,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6402, 6401])).
% 15.77/10.63 tff(6404,plain,
% 15.77/10.63 (trans(s75, s76)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6403, 6400, 32])).
% 15.77/10.63 tff(6405,plain,
% 15.77/10.63 (((~![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))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6406,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s75, s76)) | node14(s75, s76))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6407,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s75, s76)) | node14(s75, s76)),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 15.77/10.63 tff(6408,plain,
% 15.77/10.63 (node14(s75, s76)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6407, 46, 6404])).
% 15.77/10.63 tff(6409,plain,
% 15.77/10.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6410,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6411,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 15.77/10.63 tff(6412,plain,
% 15.77/10.63 ((~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)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6411, 617, 6408])).
% 15.77/10.63 tff(6413,plain,
% 15.77/10.63 (m_main_v_state2(s76, c_c2)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6412, 6397, 6393, 6357, 6350, 6346])).
% 15.77/10.63 tff(6414,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6415,plain,
% 15.77/10.63 ((~![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)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6416,plain,
% 15.77/10.63 ((~![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))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 15.77/10.63 tff(6417,plain,
% 15.77/10.63 (~m_main_v_state2(s76, c_t2)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6416, 260, 6413])).
% 15.77/10.63 tff(6418,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6419,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s76, c_t2) | (~node12(s76)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6420,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s76, c_t2) | (~node12(s76))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6419, 6418])).
% 15.77/10.63 tff(6421,plain,
% 15.77/10.63 (~node12(s76)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6420, 633, 6417])).
% 15.77/10.63 tff(6422,plain,
% 15.77/10.63 (((~![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))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6423,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s75, s76)) | node7(s75, s76))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6424,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s75, s76)) | node7(s75, s76)),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6423, 6422])).
% 15.77/10.63 tff(6425,plain,
% 15.77/10.63 (node7(s75, s76)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6424, 206, 6404])).
% 15.77/10.63 tff(6426,plain,
% 15.77/10.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6427,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6428,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1)),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 15.77/10.63 tff(6429,plain,
% 15.77/10.63 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_state1(s76, c_t1)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6428, 651, 6425])).
% 15.77/10.63 tff(6430,plain,
% 15.77/10.63 (m_main_v_state1(s76, c_t1)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6429, 6357, 6393])).
% 15.77/10.63 tff(6431,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6432,plain,
% 15.77/10.63 ((~![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)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6433,plain,
% 15.77/10.63 ((~![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))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6432, 6431])).
% 15.77/10.63 tff(6434,plain,
% 15.77/10.63 (~m_main_v_state1(s76, c_n1)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6433, 10, 6430])).
% 15.77/10.63 tff(6435,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6436,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s76, c_n1) | (~node11(s76)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6437,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s76, c_n1) | (~node11(s76))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 15.77/10.63 tff(6438,plain,
% 15.77/10.63 (~node11(s76)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6437, 238, 6434])).
% 15.77/10.63 tff(6439,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6440,plain,
% 15.77/10.63 ((~![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)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6441,plain,
% 15.77/10.63 ((~![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))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6440, 6439])).
% 15.77/10.63 tff(6442,plain,
% 15.77/10.63 (~m_main_v_state1(s76, c_c1)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6441, 539, 6430])).
% 15.77/10.63 tff(6443,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6444,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s76, c_c1) | (~node10(s76)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6445,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s76, c_c1) | (~node10(s76))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 15.77/10.63 tff(6446,plain,
% 15.77/10.63 (~node10(s76)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6445, 675, 6442])).
% 15.77/10.63 tff(6447,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6448,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s76, c_n1) | (~node9(s76)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6449,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s76, c_n1) | (~node9(s76))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 15.77/10.63 tff(6450,plain,
% 15.77/10.63 (~node9(s76)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6449, 686, 6434])).
% 15.77/10.63 tff(6451,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6452,plain,
% 15.77/10.63 ((~![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)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6453,plain,
% 15.77/10.63 ((~![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))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 15.77/10.63 tff(6454,plain,
% 15.77/10.63 (~m_main_v_state2(s76, c_n2)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6453, 697, 6413])).
% 15.77/10.63 tff(6455,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6456,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s76, c_n2) | (~node8(s76)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6457,plain,
% 15.77/10.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s76, c_n2) | (~node8(s76))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 15.77/10.63 tff(6458,plain,
% 15.77/10.63 (~node8(s76)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6457, 271, 6454])).
% 15.77/10.63 tff(6459,plain,
% 15.77/10.63 (succ(s76, s77) <=> succ(s76, s77)),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6460,axiom,(succ(s76, s77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound77')).
% 15.77/10.63 tff(6461,plain,
% 15.77/10.63 (succ(s76, s77)),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6460, 6459])).
% 15.77/10.63 tff(6462,plain,
% 15.77/10.63 (((~![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))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6463,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6464,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 15.77/10.63 tff(6465,plain,
% 15.77/10.63 (trans(s76, s77)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6464, 6461, 32])).
% 15.77/10.63 tff(6466,plain,
% 15.77/10.63 (((~![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))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6467,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s76, s77)) | node14(s76, s77))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6468,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s76, s77)) | node14(s76, s77)),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6467, 6466])).
% 15.77/10.63 tff(6469,plain,
% 15.77/10.63 (node14(s76, s77)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6468, 46, 6465])).
% 15.77/10.63 tff(6470,plain,
% 15.77/10.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6471,plain,
% 15.77/10.63 (((~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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6472,plain,
% 15.77/10.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 15.77/10.63 inference(monotonicity,[status(thm)],[6471])).
% 15.77/10.63 tff(6473,plain,
% 15.77/10.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 15.77/10.63 inference(transitivity,[status(thm)],[6472, 6470])).
% 15.77/10.63 tff(6474,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6475,plain,
% 15.77/10.63 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 15.77/10.63 tff(6476,plain,
% 15.77/10.63 (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~m_main_v_state2(s76, c_c2))),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6475, 726, 6469])).
% 15.77/10.63 tff(6477,plain,
% 15.77/10.63 (m_main_v_state2(s77, c_n2)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6476, 6458, 6413, 6450, 6446, 6438, 6421])).
% 15.77/10.63 tff(6478,plain,
% 15.77/10.63 (((~![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)))),
% 15.77/10.63 inference(rewrite,[status(thm)],[])).
% 15.77/10.63 tff(6479,plain,
% 15.77/10.63 ((~![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)))),
% 15.77/10.63 inference(quant_inst,[status(thm)],[])).
% 15.77/10.63 tff(6480,plain,
% 15.77/10.63 ((~![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))),
% 15.77/10.63 inference(modus_ponens,[status(thm)],[6479, 6478])).
% 15.77/10.63 tff(6481,plain,
% 15.77/10.63 (~m_main_v_state2(s77, c_c2)),
% 15.77/10.63 inference(unit_resolution,[status(thm)],[6480, 697, 6477])).
% 15.77/10.63 tff(6482,plain,
% 15.77/10.63 (((~![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)))),
% 15.84/10.63 inference(rewrite,[status(thm)],[])).
% 15.84/10.63 tff(6483,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s77, c_c2) | (~node3(s77)))),
% 15.84/10.63 inference(quant_inst,[status(thm)],[])).
% 15.84/10.63 tff(6484,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s77, c_c2) | (~node3(s77))),
% 15.84/10.63 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 15.84/10.63 tff(6485,plain,
% 15.84/10.63 (~node3(s77)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6484, 399, 6481])).
% 15.84/10.63 tff(6486,plain,
% 15.84/10.63 (((~![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)))),
% 15.84/10.63 inference(rewrite,[status(thm)],[])).
% 15.84/10.63 tff(6487,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s76, c_n1) | (~node1(s76)))),
% 15.84/10.63 inference(quant_inst,[status(thm)],[])).
% 15.84/10.63 tff(6488,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s76, c_n1) | (~node1(s76))),
% 15.84/10.63 inference(modus_ponens,[status(thm)],[6487, 6486])).
% 15.84/10.63 tff(6489,plain,
% 15.84/10.63 (~node1(s76)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6488, 421, 6434])).
% 15.84/10.63 tff(6490,plain,
% 15.84/10.63 (((~![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))),
% 15.84/10.63 inference(rewrite,[status(thm)],[])).
% 15.84/10.63 tff(6491,plain,
% 15.84/10.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s75, s76)) | node18(s75, s76))),
% 15.84/10.63 inference(quant_inst,[status(thm)],[])).
% 15.84/10.63 tff(6492,plain,
% 15.84/10.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s75, s76)) | node18(s75, s76)),
% 15.84/10.63 inference(modus_ponens,[status(thm)],[6491, 6490])).
% 15.84/10.63 tff(6493,plain,
% 15.84/10.63 (node18(s75, s76)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6492, 125, 6404])).
% 15.84/10.63 tff(6494,plain,
% 15.84/10.63 (((~![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(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))),
% 15.84/10.63 inference(rewrite,[status(thm)],[])).
% 15.84/10.63 tff(6495,plain,
% 15.84/10.63 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))),
% 15.84/10.63 inference(quant_inst,[status(thm)],[])).
% 15.84/10.63 tff(6496,plain,
% 15.84/10.63 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2)),
% 15.84/10.63 inference(modus_ponens,[status(thm)],[6495, 6494])).
% 15.84/10.63 tff(6497,plain,
% 15.84/10.63 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_turn(s76, c_2)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6496, 760, 6493])).
% 15.84/10.63 tff(6498,plain,
% 15.84/10.63 (m_main_v_turn(s76, c_2)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6497, 6357, 6393])).
% 15.84/10.63 tff(6499,plain,
% 15.84/10.63 (((~![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)))),
% 15.84/10.63 inference(rewrite,[status(thm)],[])).
% 15.84/10.63 tff(6500,plain,
% 15.84/10.63 ((~![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)))),
% 15.84/10.63 inference(quant_inst,[status(thm)],[])).
% 15.84/10.63 tff(6501,plain,
% 15.84/10.63 ((~![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))),
% 15.84/10.63 inference(modus_ponens,[status(thm)],[6500, 6499])).
% 15.84/10.63 tff(6502,plain,
% 15.84/10.63 (~m_main_v_turn(s76, c_1)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6501, 156, 6498])).
% 15.84/10.63 tff(6503,plain,
% 15.84/10.63 (((~![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)))),
% 15.84/10.63 inference(rewrite,[status(thm)],[])).
% 15.84/10.63 tff(6504,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s76, c_1) | (~node5(s76)))),
% 15.84/10.63 inference(quant_inst,[status(thm)],[])).
% 15.84/10.63 tff(6505,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s76, c_1) | (~node5(s76))),
% 15.84/10.63 inference(modus_ponens,[status(thm)],[6504, 6503])).
% 15.84/10.63 tff(6506,plain,
% 15.84/10.63 (~node5(s76)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6505, 776, 6502])).
% 15.84/10.63 tff(6507,plain,
% 15.84/10.63 (((~![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)))),
% 15.84/10.63 inference(rewrite,[status(thm)],[])).
% 15.84/10.63 tff(6508,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s76, c_n1) | (~node2(s76)))),
% 15.84/10.63 inference(quant_inst,[status(thm)],[])).
% 15.84/10.63 tff(6509,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s76, c_n1) | (~node2(s76))),
% 15.84/10.63 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 15.84/10.63 tff(6510,plain,
% 15.84/10.63 (~node2(s76)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6509, 787, 6434])).
% 15.84/10.63 tff(6511,plain,
% 15.84/10.63 (((~![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)))),
% 15.84/10.63 inference(rewrite,[status(thm)],[])).
% 15.84/10.63 tff(6512,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s76, c_n1) | (~node3(s76)))),
% 15.84/10.63 inference(quant_inst,[status(thm)],[])).
% 15.84/10.63 tff(6513,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s76, c_n1) | (~node3(s76))),
% 15.84/10.63 inference(modus_ponens,[status(thm)],[6512, 6511])).
% 15.84/10.63 tff(6514,plain,
% 15.84/10.63 (~node3(s76)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6513, 798, 6434])).
% 15.84/10.63 tff(6515,plain,
% 15.84/10.63 (((~![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)))),
% 15.84/10.63 inference(rewrite,[status(thm)],[])).
% 15.84/10.63 tff(6516,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s76, c_n2) | (~node4(s76)))),
% 15.84/10.63 inference(quant_inst,[status(thm)],[])).
% 15.84/10.63 tff(6517,plain,
% 15.84/10.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s76, c_n2) | (~node4(s76))),
% 15.84/10.63 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 15.84/10.63 tff(6518,plain,
% 15.84/10.63 (~node4(s76)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6517, 388, 6454])).
% 15.84/10.63 tff(6519,plain,
% 15.84/10.63 (((~![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))),
% 15.84/10.63 inference(rewrite,[status(thm)],[])).
% 15.84/10.63 tff(6520,plain,
% 15.84/10.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s76, s77)) | node7(s76, s77))),
% 15.84/10.63 inference(quant_inst,[status(thm)],[])).
% 15.84/10.63 tff(6521,plain,
% 15.84/10.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s76, s77)) | node7(s76, s77)),
% 15.84/10.63 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 15.84/10.63 tff(6522,plain,
% 15.84/10.63 (node7(s76, s77)),
% 15.84/10.63 inference(unit_resolution,[status(thm)],[6521, 206, 6465])).
% 15.84/10.63 tff(6523,plain,
% 15.84/10.63 (((~![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(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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6524,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6525,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6524, 6523])).
% 15.84/10.64 tff(6526,plain,
% 15.84/10.64 (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6525, 820, 6522])).
% 15.84/10.64 tff(6527,plain,
% 15.84/10.64 (node6(s76, s77)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6526, 6518, 6442, 6514, 6510, 6506, 6489])).
% 15.84/10.64 tff(6528,plain,
% 15.84/10.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6529,plain,
% 15.84/10.64 (((~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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6530,plain,
% 15.84/10.64 (((~![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))))),
% 15.84/10.64 inference(monotonicity,[status(thm)],[6529])).
% 15.84/10.64 tff(6531,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(transitivity,[status(thm)],[6530, 6528])).
% 15.84/10.64 tff(6532,plain,
% 15.84/10.64 ((~![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)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6533,plain,
% 15.84/10.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6532, 6531])).
% 15.84/10.64 tff(6534,plain,
% 15.84/10.64 (~m_main_v_state1(s77, c_n1)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6533, 835, 6434, 6527])).
% 15.84/10.64 tff(6535,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6536,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s77, c_n1) | (~node2(s77)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6537,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s77, c_n1) | (~node2(s77))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6536, 6535])).
% 15.84/10.64 tff(6538,plain,
% 15.84/10.64 (~node2(s77)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6537, 787, 6534])).
% 15.84/10.64 tff(6539,plain,
% 15.84/10.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6540,plain,
% 15.84/10.64 (((~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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6541,plain,
% 15.84/10.64 (((~![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))))),
% 15.84/10.64 inference(monotonicity,[status(thm)],[6540])).
% 15.84/10.64 tff(6542,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(transitivity,[status(thm)],[6541, 6539])).
% 15.84/10.64 tff(6543,plain,
% 15.84/10.64 ((~![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))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6544,plain,
% 15.84/10.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 15.84/10.64 tff(6545,plain,
% 15.84/10.64 (m_main_v_state1(s77, c_t1)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6544, 856, 6430, 6527])).
% 15.84/10.64 tff(6546,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6547,plain,
% 15.84/10.64 ((~![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)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6548,plain,
% 15.84/10.64 ((~![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))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 15.84/10.64 tff(6549,plain,
% 15.84/10.64 (~m_main_v_state2(s77, c_t2)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6548, 77, 6477])).
% 15.84/10.64 tff(6550,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6551,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s77, c_t2) | (~node1(s77)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6552,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s77, c_t2) | (~node1(s77))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6551, 6550])).
% 15.84/10.64 tff(6553,plain,
% 15.84/10.64 (~node1(s77)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6552, 195, 6549])).
% 15.84/10.64 tff(6554,plain,
% 15.84/10.64 (succ(s77, s78) <=> succ(s77, s78)),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6555,axiom,(succ(s77, s78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound78')).
% 15.84/10.64 tff(6556,plain,
% 15.84/10.64 (succ(s77, s78)),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 15.84/10.64 tff(6557,plain,
% 15.84/10.64 (((~![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))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6558,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6559,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6558, 6557])).
% 15.84/10.64 tff(6560,plain,
% 15.84/10.64 (trans(s77, s78)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6559, 6556, 32])).
% 15.84/10.64 tff(6561,plain,
% 15.84/10.64 (((~![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))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6562,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s77, s78)) | node7(s77, s78))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6563,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s77, s78)) | node7(s77, s78)),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 15.84/10.64 tff(6564,plain,
% 15.84/10.64 (node7(s77, s78)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6563, 206, 6560])).
% 15.84/10.64 tff(6565,plain,
% 15.84/10.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6566,plain,
% 15.84/10.64 (((~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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6567,plain,
% 15.84/10.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 15.84/10.64 inference(monotonicity,[status(thm)],[6566])).
% 15.84/10.64 tff(6568,plain,
% 15.84/10.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 15.84/10.64 inference(transitivity,[status(thm)],[6567, 6565])).
% 15.84/10.64 tff(6569,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6570,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6569, 6568])).
% 15.84/10.64 tff(6571,plain,
% 15.84/10.64 ((~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)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6570, 892, 6564])).
% 15.84/10.64 tff(6572,plain,
% 15.84/10.64 (m_main_v_state1(s78, c_c1)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6571, 6553, 6477, 6545, 6538, 6485])).
% 15.84/10.64 tff(6573,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6574,plain,
% 15.84/10.64 ((~![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)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6575,plain,
% 15.84/10.64 ((~![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))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 15.84/10.64 tff(6576,plain,
% 15.84/10.64 (~m_main_v_state1(s78, c_t1)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6575, 539, 6572])).
% 15.84/10.64 tff(6577,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6578,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s78, c_t1) | (~node5(s78)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6579,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s78, c_t1) | (~node5(s78))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6578, 6577])).
% 15.84/10.64 tff(6580,plain,
% 15.84/10.64 (~node5(s78)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6579, 550, 6576])).
% 15.84/10.64 tff(6581,plain,
% 15.84/10.64 (((~![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))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6582,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s77, s78)) | node14(s77, s78))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6583,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s77, s78)) | node14(s77, s78)),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 15.84/10.64 tff(6584,plain,
% 15.84/10.64 (node14(s77, s78)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6583, 46, 6560])).
% 15.84/10.64 tff(6585,plain,
% 15.84/10.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6586,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6587,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6586, 6585])).
% 15.84/10.64 tff(6588,plain,
% 15.84/10.64 ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state2(s78, c_t2)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6587, 922, 6584])).
% 15.84/10.64 tff(6589,plain,
% 15.84/10.64 (m_main_v_state2(s78, c_t2)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6588, 6545, 6477])).
% 15.84/10.64 tff(6590,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6591,plain,
% 15.84/10.64 ((~![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)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6592,plain,
% 15.84/10.64 ((~![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))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6591, 6590])).
% 15.84/10.64 tff(6593,plain,
% 15.84/10.64 (~m_main_v_state2(s78, c_n2)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6592, 77, 6589])).
% 15.84/10.64 tff(6594,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6595,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s78, c_n2) | (~node4(s78)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6596,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s78, c_n2) | (~node4(s78))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6595, 6594])).
% 15.84/10.64 tff(6597,plain,
% 15.84/10.64 (~node4(s78)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6596, 388, 6593])).
% 15.84/10.64 tff(6598,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6599,plain,
% 15.84/10.64 ((~![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)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6600,plain,
% 15.84/10.64 ((~![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))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6599, 6598])).
% 15.84/10.64 tff(6601,plain,
% 15.84/10.64 (~m_main_v_state2(s78, c_c2)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6600, 260, 6589])).
% 15.84/10.64 tff(6602,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6603,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s78, c_c2) | (~node3(s78)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6604,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s78, c_c2) | (~node3(s78))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 15.84/10.64 tff(6605,plain,
% 15.84/10.64 (~node3(s78)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6604, 399, 6601])).
% 15.84/10.64 tff(6606,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6607,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s78, c_n2) | (~node2(s78)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6608,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s78, c_n2) | (~node2(s78))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6607, 6606])).
% 15.84/10.64 tff(6609,plain,
% 15.84/10.64 (~node2(s78)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6608, 410, 6593])).
% 15.84/10.64 tff(6610,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6611,plain,
% 15.84/10.64 ((~![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)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6612,plain,
% 15.84/10.64 ((~![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))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 15.84/10.64 tff(6613,plain,
% 15.84/10.64 (~m_main_v_state1(s78, c_n1)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6612, 454, 6572])).
% 15.84/10.64 tff(6614,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6615,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s78, c_n1) | (~node1(s78)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6616,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s78, c_n1) | (~node1(s78))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6615, 6614])).
% 15.84/10.64 tff(6617,plain,
% 15.84/10.64 (~node1(s78)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6616, 421, 6613])).
% 15.84/10.64 tff(6618,plain,
% 15.84/10.64 (succ(s78, s79) <=> succ(s78, s79)),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6619,axiom,(succ(s78, s79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound79')).
% 15.84/10.64 tff(6620,plain,
% 15.84/10.64 (succ(s78, s79)),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6619, 6618])).
% 15.84/10.64 tff(6621,plain,
% 15.84/10.64 (((~![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))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6622,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6623,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6622, 6621])).
% 15.84/10.64 tff(6624,plain,
% 15.84/10.64 (trans(s78, s79)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6623, 6620, 32])).
% 15.84/10.64 tff(6625,plain,
% 15.84/10.64 (((~![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))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6626,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s78, s79)) | node7(s78, s79))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6627,plain,
% 15.84/10.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s78, s79)) | node7(s78, s79)),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6626, 6625])).
% 15.84/10.64 tff(6628,plain,
% 15.84/10.64 (node7(s78, s79)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6627, 206, 6624])).
% 15.84/10.64 tff(6629,plain,
% 15.84/10.64 (((~![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(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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6630,plain,
% 15.84/10.64 (((~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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6631,plain,
% 15.84/10.64 (((~![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(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))))),
% 15.84/10.64 inference(monotonicity,[status(thm)],[6630])).
% 15.84/10.64 tff(6632,plain,
% 15.84/10.64 (((~![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(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)))),
% 15.84/10.64 inference(transitivity,[status(thm)],[6631, 6629])).
% 15.84/10.64 tff(6633,plain,
% 15.84/10.64 ((~![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(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6634,plain,
% 15.84/10.64 ((~![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(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 15.84/10.64 tff(6635,plain,
% 15.84/10.64 (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6634, 584, 6628])).
% 15.84/10.64 tff(6636,plain,
% 15.84/10.64 (m_main_v_state1(s79, c_n1)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6635, 6617, 6572, 6609, 6605, 6597, 6580])).
% 15.84/10.64 tff(6637,plain,
% 15.84/10.64 (((~![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)))),
% 15.84/10.64 inference(rewrite,[status(thm)],[])).
% 15.84/10.64 tff(6638,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s77, c_t2) | (~node15(s77)))),
% 15.84/10.64 inference(quant_inst,[status(thm)],[])).
% 15.84/10.64 tff(6639,plain,
% 15.84/10.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s77, c_t2) | (~node15(s77))),
% 15.84/10.64 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 15.84/10.64 tff(6640,plain,
% 15.84/10.64 (~node15(s77)),
% 15.84/10.64 inference(unit_resolution,[status(thm)],[6639, 103, 6549])).
% 15.84/10.65 tff(6641,plain,
% 15.84/10.65 (((~![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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6642,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s77, s78)) | node18(s77, s78))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6643,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s77, s78)) | node18(s77, s78)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 15.84/10.65 tff(6644,plain,
% 15.84/10.65 (node18(s77, s78)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6643, 125, 6560])).
% 15.84/10.65 tff(6645,plain,
% 15.84/10.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6646,plain,
% 15.84/10.65 (((~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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6647,plain,
% 15.84/10.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 15.84/10.65 inference(monotonicity,[status(thm)],[6646])).
% 15.84/10.65 tff(6648,plain,
% 15.84/10.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 15.84/10.65 inference(transitivity,[status(thm)],[6647, 6645])).
% 15.84/10.65 tff(6649,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6650,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6649, 6648])).
% 15.84/10.65 tff(6651,plain,
% 15.84/10.65 (node15(s77) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6650, 992, 6644])).
% 15.84/10.65 tff(6652,plain,
% 15.84/10.65 (m_main_v_turn(s78, c_1)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6651, 6640, 6477, 6545])).
% 15.84/10.65 tff(6653,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6654,plain,
% 15.84/10.65 ((~![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)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6655,plain,
% 15.84/10.65 ((~![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))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6654, 6653])).
% 15.84/10.65 tff(6656,plain,
% 15.84/10.65 (~m_main_v_turn(s78, c_2)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6655, 156, 6652])).
% 15.84/10.65 tff(6657,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6658,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s78, c_2) | (~node12(s78)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6659,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s78, c_2) | (~node12(s78))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6658, 6657])).
% 15.84/10.65 tff(6660,plain,
% 15.84/10.65 (~node12(s78)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6659, 184, 6656])).
% 15.84/10.65 tff(6661,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6662,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s78, c_n2) | (~node8(s78)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6663,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s78, c_n2) | (~node8(s78))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 15.84/10.65 tff(6664,plain,
% 15.84/10.65 (~node8(s78)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6663, 271, 6593])).
% 15.84/10.65 tff(6665,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6666,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s78, c_n2) | (~node9(s78)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6667,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s78, c_n2) | (~node9(s78))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6666, 6665])).
% 15.84/10.65 tff(6668,plain,
% 15.84/10.65 (~node9(s78)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6667, 88, 6593])).
% 15.84/10.65 tff(6669,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6670,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s78, c_n2) | (~node10(s78)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6671,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s78, c_n2) | (~node10(s78))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 15.84/10.65 tff(6672,plain,
% 15.84/10.65 (~node10(s78)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6671, 249, 6593])).
% 15.84/10.65 tff(6673,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6674,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s78, c_n1) | (~node11(s78)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6675,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s78, c_n1) | (~node11(s78))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 15.84/10.65 tff(6676,plain,
% 15.84/10.65 (~node11(s78)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6675, 238, 6613])).
% 15.84/10.65 tff(6677,plain,
% 15.84/10.65 (((~![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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6678,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s78, s79)) | node14(s78, s79))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6679,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s78, s79)) | node14(s78, s79)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 15.84/10.65 tff(6680,plain,
% 15.84/10.65 (node14(s78, s79)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6679, 46, 6624])).
% 15.84/10.65 tff(6681,plain,
% 15.84/10.65 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6682,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6683,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 15.84/10.65 tff(6684,plain,
% 15.84/10.65 (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6683, 296, 6680])).
% 15.84/10.65 tff(6685,plain,
% 15.84/10.65 (node13(s78, s79)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6684, 6676, 6601, 6672, 6668, 6664, 6660])).
% 15.84/10.65 tff(6686,plain,
% 15.84/10.65 (((~![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(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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6687,plain,
% 15.84/10.65 (((~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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6688,plain,
% 15.84/10.65 (((~![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))))),
% 15.84/10.65 inference(monotonicity,[status(thm)],[6687])).
% 15.84/10.65 tff(6689,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(transitivity,[status(thm)],[6688, 6686])).
% 15.84/10.65 tff(6690,plain,
% 15.84/10.65 ((~![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))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6691,plain,
% 15.84/10.65 ((~![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(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6690, 6689])).
% 15.84/10.65 tff(6692,plain,
% 15.84/10.65 (m_main_v_state2(s79, c_t2)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6691, 518, 6589, 6685])).
% 15.84/10.65 tff(6693,plain,
% 15.84/10.65 (succ(s79, s80) <=> succ(s79, s80)),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6694,axiom,(succ(s79, s80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound80')).
% 15.84/10.65 tff(6695,plain,
% 15.84/10.65 (succ(s79, s80)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6694, 6693])).
% 15.84/10.65 tff(6696,plain,
% 15.84/10.65 (((~![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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6697,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6698,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 15.84/10.65 tff(6699,plain,
% 15.84/10.65 (trans(s79, s80)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6698, 6695, 32])).
% 15.84/10.65 tff(6700,plain,
% 15.84/10.65 (((~![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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6701,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s79, s80)) | node7(s79, s80))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6702,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s79, s80)) | node7(s79, s80)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6701, 6700])).
% 15.84/10.65 tff(6703,plain,
% 15.84/10.65 (node7(s79, s80)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6702, 206, 6699])).
% 15.84/10.65 tff(6704,plain,
% 15.84/10.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6705,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6706,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 15.84/10.65 tff(6707,plain,
% 15.84/10.65 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_state1(s80, c_t1)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6706, 651, 6703])).
% 15.84/10.65 tff(6708,plain,
% 15.84/10.65 (m_main_v_state1(s80, c_t1)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6707, 6692, 6636])).
% 15.84/10.65 tff(6709,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6710,plain,
% 15.84/10.65 ((~![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)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6711,plain,
% 15.84/10.65 ((~![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))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6710, 6709])).
% 15.84/10.65 tff(6712,plain,
% 15.84/10.65 (~m_main_v_state1(s80, c_n1)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6711, 10, 6708])).
% 15.84/10.65 tff(6713,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6714,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s80, c_n1) | (~node1(s80)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6715,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s80, c_n1) | (~node1(s80))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 15.84/10.65 tff(6716,plain,
% 15.84/10.65 (~node1(s80)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6715, 421, 6712])).
% 15.84/10.65 tff(6717,plain,
% 15.84/10.65 (((~![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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6718,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s79, s80)) | node18(s79, s80))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6719,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s79, s80)) | node18(s79, s80)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 15.84/10.65 tff(6720,plain,
% 15.84/10.65 (node18(s79, s80)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6719, 125, 6699])).
% 15.84/10.65 tff(6721,plain,
% 15.84/10.65 (((~![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(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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6722,plain,
% 15.84/10.65 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6723,plain,
% 15.84/10.65 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6722, 6721])).
% 15.84/10.65 tff(6724,plain,
% 15.84/10.65 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_turn(s80, c_2)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6723, 760, 6720])).
% 15.84/10.65 tff(6725,plain,
% 15.84/10.65 (m_main_v_turn(s80, c_2)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6724, 6692, 6636])).
% 15.84/10.65 tff(6726,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6727,plain,
% 15.84/10.65 ((~![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)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6728,plain,
% 15.84/10.65 ((~![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))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6727, 6726])).
% 15.84/10.65 tff(6729,plain,
% 15.84/10.65 (~m_main_v_turn(s80, c_1)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6728, 156, 6725])).
% 15.84/10.65 tff(6730,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6731,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s80, c_1) | (~node5(s80)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6732,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s80, c_1) | (~node5(s80))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6731, 6730])).
% 15.84/10.65 tff(6733,plain,
% 15.84/10.65 (~node5(s80)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6732, 776, 6729])).
% 15.84/10.65 tff(6734,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6735,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s80, c_n1) | (~node2(s80)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6736,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s80, c_n1) | (~node2(s80))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6735, 6734])).
% 15.84/10.65 tff(6737,plain,
% 15.84/10.65 (~node2(s80)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6736, 787, 6712])).
% 15.84/10.65 tff(6738,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6739,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s80, c_n1) | (~node3(s80)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6740,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s80, c_n1) | (~node3(s80))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6739, 6738])).
% 15.84/10.65 tff(6741,plain,
% 15.84/10.65 (~node3(s80)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6740, 798, 6712])).
% 15.84/10.65 tff(6742,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6743,plain,
% 15.84/10.65 ((~![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)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6744,plain,
% 15.84/10.65 ((~![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))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6743, 6742])).
% 15.84/10.65 tff(6745,plain,
% 15.84/10.65 (~m_main_v_state1(s80, c_c1)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6744, 539, 6708])).
% 15.84/10.65 tff(6746,plain,
% 15.84/10.65 (((~![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(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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6747,plain,
% 15.84/10.65 (((~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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6748,plain,
% 15.84/10.65 (((~![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))))),
% 15.84/10.65 inference(monotonicity,[status(thm)],[6747])).
% 15.84/10.65 tff(6749,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(transitivity,[status(thm)],[6748, 6746])).
% 15.84/10.65 tff(6750,plain,
% 15.84/10.65 ((~![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)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6751,plain,
% 15.84/10.65 ((~![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(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6750, 6749])).
% 15.84/10.65 tff(6752,plain,
% 15.84/10.65 (~m_main_v_state2(s79, c_n2)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6751, 311, 6593, 6685])).
% 15.84/10.65 tff(6753,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6754,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s79, c_n2) | (~node9(s79)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6755,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s79, c_n2) | (~node9(s79))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6754, 6753])).
% 15.84/10.65 tff(6756,plain,
% 15.84/10.65 (~node9(s79)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6755, 88, 6752])).
% 15.84/10.65 tff(6757,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6758,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s79, c_n2) | (~node10(s79)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6759,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s79, c_n2) | (~node10(s79))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 15.84/10.65 tff(6760,plain,
% 15.84/10.65 (~node10(s79)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6759, 249, 6752])).
% 15.84/10.65 tff(6761,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6762,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s79, c_n2) | (~node8(s79)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6763,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s79, c_n2) | (~node8(s79))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 15.84/10.65 tff(6764,plain,
% 15.84/10.65 (~node8(s79)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6763, 271, 6752])).
% 15.84/10.65 tff(6765,plain,
% 15.84/10.65 (((~![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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6766,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s79, s80)) | node14(s79, s80))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6767,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s79, s80)) | node14(s79, s80)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 15.84/10.65 tff(6768,plain,
% 15.84/10.65 (node14(s79, s80)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6767, 46, 6699])).
% 15.84/10.65 tff(6769,plain,
% 15.84/10.65 (((~![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(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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6770,plain,
% 15.84/10.65 ((~![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(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))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6771,plain,
% 15.84/10.65 ((~![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(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)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6770, 6769])).
% 15.84/10.65 tff(6772,plain,
% 15.84/10.65 ((~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)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6771, 617, 6768])).
% 15.84/10.65 tff(6773,plain,
% 15.84/10.65 (m_main_v_state2(s80, c_c2)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6772, 6764, 6636, 6692, 6760, 6756])).
% 15.84/10.65 tff(6774,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6775,plain,
% 15.84/10.65 ((~![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)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6776,plain,
% 15.84/10.65 ((~![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))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6775, 6774])).
% 15.84/10.65 tff(6777,plain,
% 15.84/10.65 (~m_main_v_state2(s80, c_n2)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6776, 697, 6773])).
% 15.84/10.65 tff(6778,plain,
% 15.84/10.65 (((~![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)))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6779,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s80, c_n2) | (~node4(s80)))),
% 15.84/10.65 inference(quant_inst,[status(thm)],[])).
% 15.84/10.65 tff(6780,plain,
% 15.84/10.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s80, c_n2) | (~node4(s80))),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6779, 6778])).
% 15.84/10.65 tff(6781,plain,
% 15.84/10.65 (~node4(s80)),
% 15.84/10.65 inference(unit_resolution,[status(thm)],[6780, 388, 6777])).
% 15.84/10.65 tff(6782,plain,
% 15.84/10.65 (succ(s80, s81) <=> succ(s80, s81)),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6783,axiom,(succ(s80, s81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound81')).
% 15.84/10.65 tff(6784,plain,
% 15.84/10.65 (succ(s80, s81)),
% 15.84/10.65 inference(modus_ponens,[status(thm)],[6783, 6782])).
% 15.84/10.65 tff(6785,plain,
% 15.84/10.65 (((~![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))),
% 15.84/10.65 inference(rewrite,[status(thm)],[])).
% 15.84/10.65 tff(6786,plain,
% 15.84/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6787,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6786, 6785])).
% 15.84/10.66 tff(6788,plain,
% 15.84/10.66 (trans(s80, s81)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6787, 6784, 32])).
% 15.84/10.66 tff(6789,plain,
% 15.84/10.66 (((~![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))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6790,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s80, s81)) | node7(s80, s81))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6791,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s80, s81)) | node7(s80, s81)),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 15.84/10.66 tff(6792,plain,
% 15.84/10.66 (node7(s80, s81)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6791, 206, 6788])).
% 15.84/10.66 tff(6793,plain,
% 15.84/10.66 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6794,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6795,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 15.84/10.66 tff(6796,plain,
% 15.84/10.66 (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6795, 820, 6792])).
% 15.84/10.66 tff(6797,plain,
% 15.84/10.66 (node6(s80, s81)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6796, 6781, 6745, 6741, 6737, 6733, 6716])).
% 15.84/10.66 tff(6798,plain,
% 15.84/10.66 (((~![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(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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6799,plain,
% 15.84/10.66 (((~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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6800,plain,
% 15.84/10.66 (((~![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))))),
% 15.84/10.66 inference(monotonicity,[status(thm)],[6799])).
% 15.84/10.66 tff(6801,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(transitivity,[status(thm)],[6800, 6798])).
% 15.84/10.66 tff(6802,plain,
% 15.84/10.66 ((~![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))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6803,plain,
% 15.84/10.66 ((~![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(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 15.84/10.66 tff(6804,plain,
% 15.84/10.66 (m_main_v_state1(s81, c_t1)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6803, 856, 6708, 6797])).
% 15.84/10.66 tff(6805,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6806,plain,
% 15.84/10.66 ((~![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)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6807,plain,
% 15.84/10.66 ((~![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))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 15.84/10.66 tff(6808,plain,
% 15.84/10.66 (~m_main_v_state2(s80, c_t2)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6807, 260, 6773])).
% 15.84/10.66 tff(6809,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6810,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s80, c_t2) | (~node12(s80)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6811,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s80, c_t2) | (~node12(s80))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6810, 6809])).
% 15.84/10.66 tff(6812,plain,
% 15.84/10.66 (~node12(s80)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6811, 633, 6808])).
% 15.84/10.66 tff(6813,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6814,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s80, c_n1) | (~node11(s80)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6815,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s80, c_n1) | (~node11(s80))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 15.84/10.66 tff(6816,plain,
% 15.84/10.66 (~node11(s80)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6815, 238, 6712])).
% 15.84/10.66 tff(6817,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6818,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s80, c_c1) | (~node10(s80)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6819,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s80, c_c1) | (~node10(s80))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 15.84/10.66 tff(6820,plain,
% 15.84/10.66 (~node10(s80)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6819, 675, 6745])).
% 15.84/10.66 tff(6821,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6822,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s80, c_n1) | (~node9(s80)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6823,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s80, c_n1) | (~node9(s80))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 15.84/10.66 tff(6824,plain,
% 15.84/10.66 (~node9(s80)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6823, 686, 6712])).
% 15.84/10.66 tff(6825,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6826,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s80, c_n2) | (~node8(s80)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6827,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s80, c_n2) | (~node8(s80))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 15.84/10.66 tff(6828,plain,
% 15.84/10.66 (~node8(s80)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6827, 271, 6777])).
% 15.84/10.66 tff(6829,plain,
% 15.84/10.66 (((~![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))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6830,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s80, s81)) | node14(s80, s81))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6831,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s80, s81)) | node14(s80, s81)),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 15.84/10.66 tff(6832,plain,
% 15.84/10.66 (node14(s80, s81)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6831, 46, 6788])).
% 15.84/10.66 tff(6833,plain,
% 15.84/10.66 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6834,plain,
% 15.84/10.66 (((~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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6835,plain,
% 15.84/10.66 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 15.84/10.66 inference(monotonicity,[status(thm)],[6834])).
% 15.84/10.66 tff(6836,plain,
% 15.84/10.66 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 15.84/10.66 inference(transitivity,[status(thm)],[6835, 6833])).
% 15.84/10.66 tff(6837,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6838,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6837, 6836])).
% 15.84/10.66 tff(6839,plain,
% 15.84/10.66 (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~m_main_v_state2(s80, c_c2))),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6838, 726, 6832])).
% 15.84/10.66 tff(6840,plain,
% 15.84/10.66 (m_main_v_state2(s81, c_n2)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6839, 6828, 6773, 6824, 6820, 6816, 6812])).
% 15.84/10.66 tff(6841,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6842,plain,
% 15.84/10.66 ((~![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)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6843,plain,
% 15.84/10.66 ((~![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))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 15.84/10.66 tff(6844,plain,
% 15.84/10.66 (~m_main_v_state2(s81, c_t2)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6843, 77, 6840])).
% 15.84/10.66 tff(6845,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6846,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s81, c_t2) | (~node15(s81)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6847,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s81, c_t2) | (~node15(s81))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 15.84/10.66 tff(6848,plain,
% 15.84/10.66 (~node15(s81)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6847, 103, 6844])).
% 15.84/10.66 tff(6849,plain,
% 15.84/10.66 (succ(s81, s82) <=> succ(s81, s82)),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6850,axiom,(succ(s81, s82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound82')).
% 15.84/10.66 tff(6851,plain,
% 15.84/10.66 (succ(s81, s82)),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6850, 6849])).
% 15.84/10.66 tff(6852,plain,
% 15.84/10.66 (((~![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))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6853,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6854,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6853, 6852])).
% 15.84/10.66 tff(6855,plain,
% 15.84/10.66 (trans(s81, s82)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6854, 6851, 32])).
% 15.84/10.66 tff(6856,plain,
% 15.84/10.66 (((~![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))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6857,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s81, s82)) | node18(s81, s82))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6858,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s81, s82)) | node18(s81, s82)),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 15.84/10.66 tff(6859,plain,
% 15.84/10.66 (node18(s81, s82)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6858, 125, 6855])).
% 15.84/10.66 tff(6860,plain,
% 15.84/10.66 (((~![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(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))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6861,plain,
% 15.84/10.66 (((~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))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6862,plain,
% 15.84/10.66 (((~![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(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)))),
% 15.84/10.66 inference(monotonicity,[status(thm)],[6861])).
% 15.84/10.66 tff(6863,plain,
% 15.84/10.66 (((~![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(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))),
% 15.84/10.66 inference(transitivity,[status(thm)],[6862, 6860])).
% 15.84/10.66 tff(6864,plain,
% 15.84/10.66 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6865,plain,
% 15.84/10.66 ((~![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(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)),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6864, 6863])).
% 15.84/10.66 tff(6866,plain,
% 15.84/10.66 (node15(s81) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6865, 992, 6859])).
% 15.84/10.66 tff(6867,plain,
% 15.84/10.66 (m_main_v_turn(s82, c_1)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6866, 6848, 6840, 6804])).
% 15.84/10.66 tff(6868,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6869,plain,
% 15.84/10.66 ((~![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)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6870,plain,
% 15.84/10.66 ((~![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))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 15.84/10.66 tff(6871,plain,
% 15.84/10.66 (~m_main_v_turn(s82, c_2)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6870, 156, 6867])).
% 15.84/10.66 tff(6872,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6873,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s82, c_2) | (~node12(s82)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6874,plain,
% 15.84/10.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s82, c_2) | (~node12(s82))),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6873, 6872])).
% 15.84/10.66 tff(6875,plain,
% 15.84/10.66 (~node12(s82)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6874, 184, 6871])).
% 15.84/10.66 tff(6876,plain,
% 15.84/10.66 (((~![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))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6877,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s81, s82)) | node14(s81, s82))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6878,plain,
% 15.84/10.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s81, s82)) | node14(s81, s82)),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6877, 6876])).
% 15.84/10.66 tff(6879,plain,
% 15.84/10.66 (node14(s81, s82)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6878, 46, 6855])).
% 15.84/10.66 tff(6880,plain,
% 15.84/10.66 (((~![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(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))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6881,plain,
% 15.84/10.66 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6882,plain,
% 15.84/10.66 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2)),
% 15.84/10.66 inference(modus_ponens,[status(thm)],[6881, 6880])).
% 15.84/10.66 tff(6883,plain,
% 15.84/10.66 ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state2(s82, c_t2)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6882, 922, 6879])).
% 15.84/10.66 tff(6884,plain,
% 15.84/10.66 (m_main_v_state2(s82, c_t2)),
% 15.84/10.66 inference(unit_resolution,[status(thm)],[6883, 6804, 6840])).
% 15.84/10.66 tff(6885,plain,
% 15.84/10.66 (((~![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)))),
% 15.84/10.66 inference(rewrite,[status(thm)],[])).
% 15.84/10.66 tff(6886,plain,
% 15.84/10.66 ((~![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)))),
% 15.84/10.66 inference(quant_inst,[status(thm)],[])).
% 15.84/10.66 tff(6887,plain,
% 15.84/10.66 ((~![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))),
% 15.87/10.66 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 15.87/10.66 tff(6888,plain,
% 15.87/10.66 (~m_main_v_state2(s82, c_n2)),
% 15.87/10.66 inference(unit_resolution,[status(thm)],[6887, 77, 6884])).
% 15.87/10.66 tff(6889,plain,
% 15.87/10.66 (((~![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)))),
% 15.87/10.66 inference(rewrite,[status(thm)],[])).
% 15.87/10.66 tff(6890,plain,
% 15.87/10.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s82, c_n2) | (~node8(s82)))),
% 15.87/10.66 inference(quant_inst,[status(thm)],[])).
% 15.87/10.66 tff(6891,plain,
% 15.87/10.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s82, c_n2) | (~node8(s82))),
% 15.87/10.66 inference(modus_ponens,[status(thm)],[6890, 6889])).
% 15.87/10.66 tff(6892,plain,
% 15.87/10.66 (~node8(s82)),
% 15.87/10.66 inference(unit_resolution,[status(thm)],[6891, 271, 6888])).
% 15.87/10.66 tff(6893,plain,
% 15.87/10.66 (((~![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)))),
% 15.87/10.66 inference(rewrite,[status(thm)],[])).
% 15.87/10.66 tff(6894,plain,
% 15.87/10.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s82, c_n2) | (~node9(s82)))),
% 15.87/10.66 inference(quant_inst,[status(thm)],[])).
% 15.87/10.66 tff(6895,plain,
% 15.87/10.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s82, c_n2) | (~node9(s82))),
% 15.87/10.66 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 15.87/10.66 tff(6896,plain,
% 15.87/10.66 (~node9(s82)),
% 15.87/10.66 inference(unit_resolution,[status(thm)],[6895, 88, 6888])).
% 15.87/10.66 tff(6897,plain,
% 15.87/10.66 (((~![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)))),
% 15.87/10.66 inference(rewrite,[status(thm)],[])).
% 15.87/10.66 tff(6898,plain,
% 15.87/10.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s82, c_n2) | (~node10(s82)))),
% 15.87/10.66 inference(quant_inst,[status(thm)],[])).
% 15.87/10.66 tff(6899,plain,
% 15.87/10.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s82, c_n2) | (~node10(s82))),
% 15.87/10.66 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 15.87/10.66 tff(6900,plain,
% 15.87/10.66 (~node10(s82)),
% 15.87/10.66 inference(unit_resolution,[status(thm)],[6899, 249, 6888])).
% 15.87/10.66 tff(6901,plain,
% 15.87/10.66 (((~![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)))),
% 15.87/10.66 inference(rewrite,[status(thm)],[])).
% 15.87/10.66 tff(6902,plain,
% 15.87/10.66 ((~![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)))),
% 15.87/10.66 inference(quant_inst,[status(thm)],[])).
% 15.87/10.66 tff(6903,plain,
% 15.87/10.66 ((~![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))),
% 15.87/10.66 inference(modus_ponens,[status(thm)],[6902, 6901])).
% 15.87/10.66 tff(6904,plain,
% 15.87/10.66 (~m_main_v_state2(s82, c_c2)),
% 15.87/10.66 inference(unit_resolution,[status(thm)],[6903, 260, 6884])).
% 15.87/10.66 tff(6905,plain,
% 15.87/10.66 (((~![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)))),
% 15.87/10.66 inference(rewrite,[status(thm)],[])).
% 15.87/10.66 tff(6906,plain,
% 15.87/10.66 ((~![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)))),
% 15.87/10.66 inference(quant_inst,[status(thm)],[])).
% 15.87/10.66 tff(6907,plain,
% 15.87/10.66 ((~![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))),
% 15.87/10.66 inference(modus_ponens,[status(thm)],[6906, 6905])).
% 15.87/10.66 tff(6908,plain,
% 15.87/10.66 (~m_main_v_state2(s81, c_c2)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6907, 697, 6840])).
% 15.87/10.67 tff(6909,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6910,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s81, c_c2) | (~node3(s81)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6911,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s81, c_c2) | (~node3(s81))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6910, 6909])).
% 15.87/10.67 tff(6912,plain,
% 15.87/10.67 (~node3(s81)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6911, 399, 6908])).
% 15.87/10.67 tff(6913,plain,
% 15.87/10.67 (((~![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(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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6914,plain,
% 15.87/10.67 (((~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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6915,plain,
% 15.87/10.67 (((~![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))))),
% 15.87/10.67 inference(monotonicity,[status(thm)],[6914])).
% 15.87/10.67 tff(6916,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(transitivity,[status(thm)],[6915, 6913])).
% 15.87/10.67 tff(6917,plain,
% 15.87/10.67 ((~![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)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6918,plain,
% 15.87/10.67 ((~![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(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6917, 6916])).
% 15.87/10.67 tff(6919,plain,
% 15.87/10.67 (~m_main_v_state1(s81, c_n1)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6918, 835, 6712, 6797])).
% 15.87/10.67 tff(6920,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6921,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s81, c_n1) | (~node2(s81)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6922,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s81, c_n1) | (~node2(s81))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 15.87/10.67 tff(6923,plain,
% 15.87/10.67 (~node2(s81)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6922, 787, 6919])).
% 15.87/10.67 tff(6924,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6925,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s81, c_t2) | (~node1(s81)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6926,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s81, c_t2) | (~node1(s81))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6925, 6924])).
% 15.87/10.67 tff(6927,plain,
% 15.87/10.67 (~node1(s81)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6926, 195, 6844])).
% 15.87/10.67 tff(6928,plain,
% 15.87/10.67 (((~![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))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6929,plain,
% 15.87/10.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s81, s82)) | node7(s81, s82))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6930,plain,
% 15.87/10.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s81, s82)) | node7(s81, s82)),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 15.87/10.67 tff(6931,plain,
% 15.87/10.67 (node7(s81, s82)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6930, 206, 6855])).
% 15.87/10.67 tff(6932,plain,
% 15.87/10.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6933,plain,
% 15.87/10.67 (((~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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6934,plain,
% 15.87/10.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 15.87/10.67 inference(monotonicity,[status(thm)],[6933])).
% 15.87/10.67 tff(6935,plain,
% 15.87/10.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 15.87/10.67 inference(transitivity,[status(thm)],[6934, 6932])).
% 15.87/10.67 tff(6936,plain,
% 15.87/10.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6937,plain,
% 15.87/10.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 15.87/10.67 tff(6938,plain,
% 15.87/10.67 ((~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)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6937, 892, 6931])).
% 15.87/10.67 tff(6939,plain,
% 15.87/10.67 (m_main_v_state1(s82, c_c1)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6938, 6927, 6840, 6804, 6923, 6912])).
% 15.87/10.67 tff(6940,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6941,plain,
% 15.87/10.67 ((~![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)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6942,plain,
% 15.87/10.67 ((~![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))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 15.87/10.67 tff(6943,plain,
% 15.87/10.67 (~m_main_v_state1(s82, c_n1)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6942, 454, 6939])).
% 15.87/10.67 tff(6944,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6945,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s82, c_n1) | (~node11(s82)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6946,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s82, c_n1) | (~node11(s82))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6945, 6944])).
% 15.87/10.67 tff(6947,plain,
% 15.87/10.67 (~node11(s82)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6946, 238, 6943])).
% 15.87/10.67 tff(6948,plain,
% 15.87/10.67 (succ(s82, s83) <=> succ(s82, s83)),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6949,axiom,(succ(s82, s83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound83')).
% 15.87/10.67 tff(6950,plain,
% 15.87/10.67 (succ(s82, s83)),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 15.87/10.67 tff(6951,plain,
% 15.87/10.67 (((~![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))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6952,plain,
% 15.87/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6953,plain,
% 15.87/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 15.87/10.67 tff(6954,plain,
% 15.87/10.67 (trans(s82, s83)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6953, 6950, 32])).
% 15.87/10.67 tff(6955,plain,
% 15.87/10.67 (((~![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))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6956,plain,
% 15.87/10.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s82, s83)) | node14(s82, s83))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6957,plain,
% 15.87/10.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s82, s83)) | node14(s82, s83)),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6956, 6955])).
% 15.87/10.67 tff(6958,plain,
% 15.87/10.67 (node14(s82, s83)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6957, 46, 6954])).
% 15.87/10.67 tff(6959,plain,
% 15.87/10.67 (((~![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(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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6960,plain,
% 15.87/10.67 ((~![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(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6961,plain,
% 15.87/10.67 ((~![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(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6960, 6959])).
% 15.87/10.67 tff(6962,plain,
% 15.87/10.67 (m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6961, 296, 6958])).
% 15.87/10.67 tff(6963,plain,
% 15.87/10.67 (node13(s82, s83)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6962, 6947, 6904, 6900, 6896, 6892, 6875])).
% 15.87/10.67 tff(6964,plain,
% 15.87/10.67 (((~![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(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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6965,plain,
% 15.87/10.67 (((~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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6966,plain,
% 15.87/10.67 (((~![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))))),
% 15.87/10.67 inference(monotonicity,[status(thm)],[6965])).
% 15.87/10.67 tff(6967,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(transitivity,[status(thm)],[6966, 6964])).
% 15.87/10.67 tff(6968,plain,
% 15.87/10.67 ((~![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)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6969,plain,
% 15.87/10.67 ((~![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(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6968, 6967])).
% 15.87/10.67 tff(6970,plain,
% 15.87/10.67 (~m_main_v_state2(s83, c_n2)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6969, 311, 6888, 6963])).
% 15.87/10.67 tff(6971,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6972,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s83, c_n2) | (~node9(s83)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6973,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s83, c_n2) | (~node9(s83))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6972, 6971])).
% 15.87/10.67 tff(6974,plain,
% 15.87/10.67 (~node9(s83)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6973, 88, 6970])).
% 15.87/10.67 tff(6975,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6976,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s83, c_n2) | (~node10(s83)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6977,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s83, c_n2) | (~node10(s83))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 15.87/10.67 tff(6978,plain,
% 15.87/10.67 (~node10(s83)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6977, 249, 6970])).
% 15.87/10.67 tff(6979,plain,
% 15.87/10.67 (((~![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(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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6980,plain,
% 15.87/10.67 (((~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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6981,plain,
% 15.87/10.67 (((~![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))))),
% 15.87/10.67 inference(monotonicity,[status(thm)],[6980])).
% 15.87/10.67 tff(6982,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(transitivity,[status(thm)],[6981, 6979])).
% 15.87/10.67 tff(6983,plain,
% 15.87/10.67 ((~![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))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6984,plain,
% 15.87/10.67 ((~![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(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6983, 6982])).
% 15.87/10.67 tff(6985,plain,
% 15.87/10.67 (m_main_v_state2(s83, c_t2)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6984, 518, 6884, 6963])).
% 15.87/10.67 tff(6986,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6987,plain,
% 15.87/10.67 ((~![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)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6988,plain,
% 15.87/10.67 ((~![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))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6987, 6986])).
% 15.87/10.67 tff(6989,plain,
% 15.87/10.67 (~m_main_v_state1(s82, c_t1)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6988, 539, 6939])).
% 15.87/10.67 tff(6990,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6991,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s82, c_t1) | (~node5(s82)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6992,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s82, c_t1) | (~node5(s82))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 15.87/10.67 tff(6993,plain,
% 15.87/10.67 (~node5(s82)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6992, 550, 6989])).
% 15.87/10.67 tff(6994,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6995,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s82, c_n2) | (~node4(s82)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(6996,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s82, c_n2) | (~node4(s82))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 15.87/10.67 tff(6997,plain,
% 15.87/10.67 (~node4(s82)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[6996, 388, 6888])).
% 15.87/10.67 tff(6998,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(6999,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s82, c_c2) | (~node3(s82)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(7000,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s82, c_c2) | (~node3(s82))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 15.87/10.67 tff(7001,plain,
% 15.87/10.67 (~node3(s82)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[7000, 399, 6904])).
% 15.87/10.67 tff(7002,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(7003,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s82, c_n2) | (~node2(s82)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(7004,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s82, c_n2) | (~node2(s82))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 15.87/10.67 tff(7005,plain,
% 15.87/10.67 (~node2(s82)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[7004, 410, 6888])).
% 15.87/10.67 tff(7006,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(7007,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s82, c_n1) | (~node1(s82)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(7008,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s82, c_n1) | (~node1(s82))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[7007, 7006])).
% 15.87/10.67 tff(7009,plain,
% 15.87/10.67 (~node1(s82)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[7008, 421, 6943])).
% 15.87/10.67 tff(7010,plain,
% 15.87/10.67 (((~![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))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(7011,plain,
% 15.87/10.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s82, s83)) | node7(s82, s83))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(7012,plain,
% 15.87/10.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s82, s83)) | node7(s82, s83)),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[7011, 7010])).
% 15.87/10.67 tff(7013,plain,
% 15.87/10.67 (node7(s82, s83)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[7012, 206, 6954])).
% 15.87/10.67 tff(7014,plain,
% 15.87/10.67 (((~![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(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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(7015,plain,
% 15.87/10.67 (((~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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(7016,plain,
% 15.87/10.67 (((~![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(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))))),
% 15.87/10.67 inference(monotonicity,[status(thm)],[7015])).
% 15.87/10.67 tff(7017,plain,
% 15.87/10.67 (((~![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(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)))),
% 15.87/10.67 inference(transitivity,[status(thm)],[7016, 7014])).
% 15.87/10.67 tff(7018,plain,
% 15.87/10.67 ((~![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(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.67 tff(7019,plain,
% 15.87/10.67 ((~![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(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83))),
% 15.87/10.67 inference(modus_ponens,[status(thm)],[7018, 7017])).
% 15.87/10.67 tff(7020,plain,
% 15.87/10.67 (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[7019, 584, 7013])).
% 15.87/10.67 tff(7021,plain,
% 15.87/10.67 (m_main_v_state1(s83, c_n1)),
% 15.87/10.67 inference(unit_resolution,[status(thm)],[7020, 7009, 6939, 7005, 7001, 6997, 6993])).
% 15.87/10.67 tff(7022,plain,
% 15.87/10.67 (((~![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)))),
% 15.87/10.67 inference(rewrite,[status(thm)],[])).
% 15.87/10.67 tff(7023,plain,
% 15.87/10.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s83, c_n2) | (~node8(s83)))),
% 15.87/10.67 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7024,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s83, c_n2) | (~node8(s83))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7023, 7022])).
% 15.87/10.68 tff(7025,plain,
% 15.87/10.68 (~node8(s83)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7024, 271, 6970])).
% 15.87/10.68 tff(7026,plain,
% 15.87/10.68 (succ(s83, s84) <=> succ(s83, s84)),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7027,axiom,(succ(s83, s84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound84')).
% 15.87/10.68 tff(7028,plain,
% 15.87/10.68 (succ(s83, s84)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7027, 7026])).
% 15.87/10.68 tff(7029,plain,
% 15.87/10.68 (((~![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))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7030,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7031,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7030, 7029])).
% 15.87/10.68 tff(7032,plain,
% 15.87/10.68 (trans(s83, s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7031, 7028, 32])).
% 15.87/10.68 tff(7033,plain,
% 15.87/10.68 (((~![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))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7034,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s83, s84)) | node14(s83, s84))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7035,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s83, s84)) | node14(s83, s84)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 15.87/10.68 tff(7036,plain,
% 15.87/10.68 (node14(s83, s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7035, 46, 7032])).
% 15.87/10.68 tff(7037,plain,
% 15.87/10.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7038,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7039,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7038, 7037])).
% 15.87/10.68 tff(7040,plain,
% 15.87/10.68 ((~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)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7039, 617, 7036])).
% 15.87/10.68 tff(7041,plain,
% 15.87/10.68 (m_main_v_state2(s84, c_c2)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7040, 7025, 7021, 6985, 6978, 6974])).
% 15.87/10.68 tff(7042,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7043,plain,
% 15.87/10.68 ((~![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)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7044,plain,
% 15.87/10.68 ((~![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))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7043, 7042])).
% 15.87/10.68 tff(7045,plain,
% 15.87/10.68 (~m_main_v_state2(s84, c_t2)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7044, 260, 7041])).
% 15.87/10.68 tff(7046,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7047,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s84, c_t2) | (~node12(s84)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7048,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s84, c_t2) | (~node12(s84))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7047, 7046])).
% 15.87/10.68 tff(7049,plain,
% 15.87/10.68 (~node12(s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7048, 633, 7045])).
% 15.87/10.68 tff(7050,plain,
% 15.87/10.68 (((~![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))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7051,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s83, s84)) | node7(s83, s84))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7052,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s83, s84)) | node7(s83, s84)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7051, 7050])).
% 15.87/10.68 tff(7053,plain,
% 15.87/10.68 (node7(s83, s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7052, 206, 7032])).
% 15.87/10.68 tff(7054,plain,
% 15.87/10.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7055,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7056,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7055, 7054])).
% 15.87/10.68 tff(7057,plain,
% 15.87/10.68 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_state1(s84, c_t1)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7056, 651, 7053])).
% 15.87/10.68 tff(7058,plain,
% 15.87/10.68 (m_main_v_state1(s84, c_t1)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7057, 6985, 7021])).
% 15.87/10.68 tff(7059,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7060,plain,
% 15.87/10.68 ((~![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)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7061,plain,
% 15.87/10.68 ((~![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))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 15.87/10.68 tff(7062,plain,
% 15.87/10.68 (~m_main_v_state1(s84, c_n1)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7061, 10, 7058])).
% 15.87/10.68 tff(7063,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7064,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s84, c_n1) | (~node11(s84)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7065,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s84, c_n1) | (~node11(s84))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 15.87/10.68 tff(7066,plain,
% 15.87/10.68 (~node11(s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7065, 238, 7062])).
% 15.87/10.68 tff(7067,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7068,plain,
% 15.87/10.68 ((~![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)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7069,plain,
% 15.87/10.68 ((~![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))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 15.87/10.68 tff(7070,plain,
% 15.87/10.68 (~m_main_v_state1(s84, c_c1)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7069, 539, 7058])).
% 15.87/10.68 tff(7071,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7072,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s84, c_c1) | (~node10(s84)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7073,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s84, c_c1) | (~node10(s84))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 15.87/10.68 tff(7074,plain,
% 15.87/10.68 (~node10(s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7073, 675, 7070])).
% 15.87/10.68 tff(7075,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7076,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s84, c_n1) | (~node9(s84)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7077,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s84, c_n1) | (~node9(s84))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7076, 7075])).
% 15.87/10.68 tff(7078,plain,
% 15.87/10.68 (~node9(s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7077, 686, 7062])).
% 15.87/10.68 tff(7079,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7080,plain,
% 15.87/10.68 ((~![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)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7081,plain,
% 15.87/10.68 ((~![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))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 15.87/10.68 tff(7082,plain,
% 15.87/10.68 (~m_main_v_state2(s84, c_n2)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7081, 697, 7041])).
% 15.87/10.68 tff(7083,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7084,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s84, c_n2) | (~node8(s84)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7085,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s84, c_n2) | (~node8(s84))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 15.87/10.68 tff(7086,plain,
% 15.87/10.68 (~node8(s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7085, 271, 7082])).
% 15.87/10.68 tff(7087,plain,
% 15.87/10.68 (succ(s84, s85) <=> succ(s84, s85)),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7088,axiom,(succ(s84, s85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound85')).
% 15.87/10.68 tff(7089,plain,
% 15.87/10.68 (succ(s84, s85)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7088, 7087])).
% 15.87/10.68 tff(7090,plain,
% 15.87/10.68 (((~![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))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7091,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7092,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7091, 7090])).
% 15.87/10.68 tff(7093,plain,
% 15.87/10.68 (trans(s84, s85)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7092, 7089, 32])).
% 15.87/10.68 tff(7094,plain,
% 15.87/10.68 (((~![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))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7095,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s84, s85)) | node14(s84, s85))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7096,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s84, s85)) | node14(s84, s85)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 15.87/10.68 tff(7097,plain,
% 15.87/10.68 (node14(s84, s85)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7096, 46, 7093])).
% 15.87/10.68 tff(7098,plain,
% 15.87/10.68 (((~![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(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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7099,plain,
% 15.87/10.68 (((~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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7100,plain,
% 15.87/10.68 (((~![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(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))))),
% 15.87/10.68 inference(monotonicity,[status(thm)],[7099])).
% 15.87/10.68 tff(7101,plain,
% 15.87/10.68 (((~![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(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)))),
% 15.87/10.68 inference(transitivity,[status(thm)],[7100, 7098])).
% 15.87/10.68 tff(7102,plain,
% 15.87/10.68 ((~![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(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7103,plain,
% 15.87/10.68 ((~![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(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7102, 7101])).
% 15.87/10.68 tff(7104,plain,
% 15.87/10.68 (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~m_main_v_state2(s84, c_c2))),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7103, 726, 7097])).
% 15.87/10.68 tff(7105,plain,
% 15.87/10.68 (m_main_v_state2(s85, c_n2)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7104, 7086, 7041, 7078, 7074, 7066, 7049])).
% 15.87/10.68 tff(7106,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7107,plain,
% 15.87/10.68 ((~![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)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7108,plain,
% 15.87/10.68 ((~![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))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 15.87/10.68 tff(7109,plain,
% 15.87/10.68 (~m_main_v_state2(s85, c_c2)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7108, 697, 7105])).
% 15.87/10.68 tff(7110,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7111,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s85, c_c2) | (~node3(s85)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7112,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s85, c_c2) | (~node3(s85))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7111, 7110])).
% 15.87/10.68 tff(7113,plain,
% 15.87/10.68 (~node3(s85)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7112, 399, 7109])).
% 15.87/10.68 tff(7114,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7115,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s84, c_n1) | (~node1(s84)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7116,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s84, c_n1) | (~node1(s84))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 15.87/10.68 tff(7117,plain,
% 15.87/10.68 (~node1(s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7116, 421, 7062])).
% 15.87/10.68 tff(7118,plain,
% 15.87/10.68 (((~![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))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7119,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s83, s84)) | node18(s83, s84))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7120,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s83, s84)) | node18(s83, s84)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 15.87/10.68 tff(7121,plain,
% 15.87/10.68 (node18(s83, s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7120, 125, 7032])).
% 15.87/10.68 tff(7122,plain,
% 15.87/10.68 (((~![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(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))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7123,plain,
% 15.87/10.68 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7124,plain,
% 15.87/10.68 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 15.87/10.68 tff(7125,plain,
% 15.87/10.68 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_turn(s84, c_2)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7124, 760, 7121])).
% 15.87/10.68 tff(7126,plain,
% 15.87/10.68 (m_main_v_turn(s84, c_2)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7125, 6985, 7021])).
% 15.87/10.68 tff(7127,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7128,plain,
% 15.87/10.68 ((~![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)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7129,plain,
% 15.87/10.68 ((~![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))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 15.87/10.68 tff(7130,plain,
% 15.87/10.68 (~m_main_v_turn(s84, c_1)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7129, 156, 7126])).
% 15.87/10.68 tff(7131,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7132,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s84, c_1) | (~node5(s84)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7133,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s84, c_1) | (~node5(s84))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 15.87/10.68 tff(7134,plain,
% 15.87/10.68 (~node5(s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7133, 776, 7130])).
% 15.87/10.68 tff(7135,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7136,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s84, c_n1) | (~node2(s84)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7137,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s84, c_n1) | (~node2(s84))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7136, 7135])).
% 15.87/10.68 tff(7138,plain,
% 15.87/10.68 (~node2(s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7137, 787, 7062])).
% 15.87/10.68 tff(7139,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7140,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s84, c_n1) | (~node3(s84)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7141,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s84, c_n1) | (~node3(s84))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7140, 7139])).
% 15.87/10.68 tff(7142,plain,
% 15.87/10.68 (~node3(s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7141, 798, 7062])).
% 15.87/10.68 tff(7143,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7144,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s84, c_n2) | (~node4(s84)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7145,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s84, c_n2) | (~node4(s84))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 15.87/10.68 tff(7146,plain,
% 15.87/10.68 (~node4(s84)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7145, 388, 7082])).
% 15.87/10.68 tff(7147,plain,
% 15.87/10.68 (((~![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))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7148,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s84, s85)) | node7(s84, s85))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7149,plain,
% 15.87/10.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s84, s85)) | node7(s84, s85)),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7148, 7147])).
% 15.87/10.68 tff(7150,plain,
% 15.87/10.68 (node7(s84, s85)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7149, 206, 7093])).
% 15.87/10.68 tff(7151,plain,
% 15.87/10.68 (((~![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(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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7152,plain,
% 15.87/10.68 ((~![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(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7153,plain,
% 15.87/10.68 ((~![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(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7152, 7151])).
% 15.87/10.68 tff(7154,plain,
% 15.87/10.68 (m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7153, 820, 7150])).
% 15.87/10.68 tff(7155,plain,
% 15.87/10.68 (node6(s84, s85)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7154, 7146, 7070, 7142, 7138, 7134, 7117])).
% 15.87/10.68 tff(7156,plain,
% 15.87/10.68 (((~![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(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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7157,plain,
% 15.87/10.68 (((~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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7158,plain,
% 15.87/10.68 (((~![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))))),
% 15.87/10.68 inference(monotonicity,[status(thm)],[7157])).
% 15.87/10.68 tff(7159,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(transitivity,[status(thm)],[7158, 7156])).
% 15.87/10.68 tff(7160,plain,
% 15.87/10.68 ((~![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)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7161,plain,
% 15.87/10.68 ((~![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(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7160, 7159])).
% 15.87/10.68 tff(7162,plain,
% 15.87/10.68 (~m_main_v_state1(s85, c_n1)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7161, 835, 7062, 7155])).
% 15.87/10.68 tff(7163,plain,
% 15.87/10.68 (((~![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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7164,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s85, c_n1) | (~node2(s85)))),
% 15.87/10.68 inference(quant_inst,[status(thm)],[])).
% 15.87/10.68 tff(7165,plain,
% 15.87/10.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s85, c_n1) | (~node2(s85))),
% 15.87/10.68 inference(modus_ponens,[status(thm)],[7164, 7163])).
% 15.87/10.68 tff(7166,plain,
% 15.87/10.68 (~node2(s85)),
% 15.87/10.68 inference(unit_resolution,[status(thm)],[7165, 787, 7162])).
% 15.87/10.68 tff(7167,plain,
% 15.87/10.68 (((~![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(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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7168,plain,
% 15.87/10.68 (((~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)))),
% 15.87/10.68 inference(rewrite,[status(thm)],[])).
% 15.87/10.68 tff(7169,plain,
% 15.87/10.68 (((~![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))))),
% 15.87/10.69 inference(monotonicity,[status(thm)],[7168])).
% 15.87/10.69 tff(7170,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(transitivity,[status(thm)],[7169, 7167])).
% 15.87/10.69 tff(7171,plain,
% 15.87/10.69 ((~![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))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7172,plain,
% 15.87/10.69 ((~![V: $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))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 15.87/10.69 tff(7173,plain,
% 15.87/10.69 (m_main_v_state1(s85, c_t1)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7172, 856, 7058, 7155])).
% 15.87/10.69 tff(7174,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7175,plain,
% 15.87/10.69 ((~![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)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7176,plain,
% 15.87/10.69 ((~![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))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7175, 7174])).
% 15.87/10.69 tff(7177,plain,
% 15.87/10.69 (~m_main_v_state2(s85, c_t2)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7176, 77, 7105])).
% 15.87/10.69 tff(7178,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7179,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s85, c_t2) | (~node1(s85)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7180,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s85, c_t2) | (~node1(s85))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7179, 7178])).
% 15.87/10.69 tff(7181,plain,
% 15.87/10.69 (~node1(s85)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7180, 195, 7177])).
% 15.87/10.69 tff(7182,plain,
% 15.87/10.69 (succ(s85, s86) <=> succ(s85, s86)),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7183,axiom,(succ(s85, s86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound86')).
% 15.87/10.69 tff(7184,plain,
% 15.87/10.69 (succ(s85, s86)),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 15.87/10.69 tff(7185,plain,
% 15.87/10.69 (((~![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))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7186,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7187,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 15.87/10.69 tff(7188,plain,
% 15.87/10.69 (trans(s85, s86)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7187, 7184, 32])).
% 15.87/10.69 tff(7189,plain,
% 15.87/10.69 (((~![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))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7190,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s85, s86)) | node7(s85, s86))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7191,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s85, s86)) | node7(s85, s86)),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7190, 7189])).
% 15.87/10.69 tff(7192,plain,
% 15.87/10.69 (node7(s85, s86)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7191, 206, 7188])).
% 15.87/10.69 tff(7193,plain,
% 15.87/10.69 (((~![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(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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7194,plain,
% 15.87/10.69 (((~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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7195,plain,
% 15.87/10.69 (((~![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(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))))),
% 15.87/10.69 inference(monotonicity,[status(thm)],[7194])).
% 15.87/10.69 tff(7196,plain,
% 15.87/10.69 (((~![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(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)))),
% 15.87/10.69 inference(transitivity,[status(thm)],[7195, 7193])).
% 15.87/10.69 tff(7197,plain,
% 15.87/10.69 ((~![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(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))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7198,plain,
% 15.87/10.69 ((~![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(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))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7197, 7196])).
% 15.87/10.69 tff(7199,plain,
% 15.87/10.69 ((~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)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7198, 892, 7192])).
% 15.87/10.69 tff(7200,plain,
% 15.87/10.69 (m_main_v_state1(s86, c_c1)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7199, 7181, 7105, 7173, 7166, 7113])).
% 15.87/10.69 tff(7201,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7202,plain,
% 15.87/10.69 ((~![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)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7203,plain,
% 15.87/10.69 ((~![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))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7202, 7201])).
% 15.87/10.69 tff(7204,plain,
% 15.87/10.69 (~m_main_v_state1(s86, c_t1)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7203, 539, 7200])).
% 15.87/10.69 tff(7205,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7206,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s86, c_t1) | (~node5(s86)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7207,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s86, c_t1) | (~node5(s86))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7206, 7205])).
% 15.87/10.69 tff(7208,plain,
% 15.87/10.69 (~node5(s86)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7207, 550, 7204])).
% 15.87/10.69 tff(7209,plain,
% 15.87/10.69 (((~![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))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7210,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s85, s86)) | node14(s85, s86))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7211,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s85, s86)) | node14(s85, s86)),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7210, 7209])).
% 15.87/10.69 tff(7212,plain,
% 15.87/10.69 (node14(s85, s86)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7211, 46, 7188])).
% 15.87/10.69 tff(7213,plain,
% 15.87/10.69 (((~![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(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))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7214,plain,
% 15.87/10.69 ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7215,plain,
% 15.87/10.69 ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2)),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 15.87/10.69 tff(7216,plain,
% 15.87/10.69 ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state2(s86, c_t2)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7215, 922, 7212])).
% 15.87/10.69 tff(7217,plain,
% 15.87/10.69 (m_main_v_state2(s86, c_t2)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7216, 7173, 7105])).
% 15.87/10.69 tff(7218,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7219,plain,
% 15.87/10.69 ((~![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)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7220,plain,
% 15.87/10.69 ((~![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))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 15.87/10.69 tff(7221,plain,
% 15.87/10.69 (~m_main_v_state2(s86, c_n2)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7220, 77, 7217])).
% 15.87/10.69 tff(7222,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7223,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s86, c_n2) | (~node4(s86)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7224,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s86, c_n2) | (~node4(s86))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7223, 7222])).
% 15.87/10.69 tff(7225,plain,
% 15.87/10.69 (~node4(s86)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7224, 388, 7221])).
% 15.87/10.69 tff(7226,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7227,plain,
% 15.87/10.69 ((~![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)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7228,plain,
% 15.87/10.69 ((~![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))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 15.87/10.69 tff(7229,plain,
% 15.87/10.69 (~m_main_v_state2(s86, c_c2)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7228, 260, 7217])).
% 15.87/10.69 tff(7230,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7231,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s86, c_c2) | (~node3(s86)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7232,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s86, c_c2) | (~node3(s86))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 15.87/10.69 tff(7233,plain,
% 15.87/10.69 (~node3(s86)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7232, 399, 7229])).
% 15.87/10.69 tff(7234,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7235,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s86, c_n2) | (~node2(s86)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7236,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s86, c_n2) | (~node2(s86))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 15.87/10.69 tff(7237,plain,
% 15.87/10.69 (~node2(s86)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7236, 410, 7221])).
% 15.87/10.69 tff(7238,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7239,plain,
% 15.87/10.69 ((~![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)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7240,plain,
% 15.87/10.69 ((~![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))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 15.87/10.69 tff(7241,plain,
% 15.87/10.69 (~m_main_v_state1(s86, c_n1)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7240, 454, 7200])).
% 15.87/10.69 tff(7242,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7243,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s86, c_n1) | (~node1(s86)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7244,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s86, c_n1) | (~node1(s86))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7243, 7242])).
% 15.87/10.69 tff(7245,plain,
% 15.87/10.69 (~node1(s86)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7244, 421, 7241])).
% 15.87/10.69 tff(7246,plain,
% 15.87/10.69 (succ(s86, s87) <=> succ(s86, s87)),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7247,axiom,(succ(s86, s87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound87')).
% 15.87/10.69 tff(7248,plain,
% 15.87/10.69 (succ(s86, s87)),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7247, 7246])).
% 15.87/10.69 tff(7249,plain,
% 15.87/10.69 (((~![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))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7250,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7251,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7250, 7249])).
% 15.87/10.69 tff(7252,plain,
% 15.87/10.69 (trans(s86, s87)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7251, 7248, 32])).
% 15.87/10.69 tff(7253,plain,
% 15.87/10.69 (((~![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))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7254,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s86, s87)) | node7(s86, s87))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7255,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s86, s87)) | node7(s86, s87)),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 15.87/10.69 tff(7256,plain,
% 15.87/10.69 (node7(s86, s87)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7255, 206, 7252])).
% 15.87/10.69 tff(7257,plain,
% 15.87/10.69 (((~![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(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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7258,plain,
% 15.87/10.69 (((~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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7259,plain,
% 15.87/10.69 (((~![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(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))))),
% 15.87/10.69 inference(monotonicity,[status(thm)],[7258])).
% 15.87/10.69 tff(7260,plain,
% 15.87/10.69 (((~![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(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)))),
% 15.87/10.69 inference(transitivity,[status(thm)],[7259, 7257])).
% 15.87/10.69 tff(7261,plain,
% 15.87/10.69 ((~![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(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7262,plain,
% 15.87/10.69 ((~![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(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 15.87/10.69 tff(7263,plain,
% 15.87/10.69 (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7262, 584, 7256])).
% 15.87/10.69 tff(7264,plain,
% 15.87/10.69 (m_main_v_state1(s87, c_n1)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7263, 7245, 7200, 7237, 7233, 7225, 7208])).
% 15.87/10.69 tff(7265,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7266,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s85, c_t2) | (~node15(s85)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7267,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s85, c_t2) | (~node15(s85))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 15.87/10.69 tff(7268,plain,
% 15.87/10.69 (~node15(s85)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7267, 103, 7177])).
% 15.87/10.69 tff(7269,plain,
% 15.87/10.69 (((~![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))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7270,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s85, s86)) | node18(s85, s86))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7271,plain,
% 15.87/10.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s85, s86)) | node18(s85, s86)),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7270, 7269])).
% 15.87/10.69 tff(7272,plain,
% 15.87/10.69 (node18(s85, s86)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7271, 125, 7188])).
% 15.87/10.69 tff(7273,plain,
% 15.87/10.69 (((~![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(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))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7274,plain,
% 15.87/10.69 (((~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))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7275,plain,
% 15.87/10.69 (((~![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(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)))),
% 15.87/10.69 inference(monotonicity,[status(thm)],[7274])).
% 15.87/10.69 tff(7276,plain,
% 15.87/10.69 (((~![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(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))),
% 15.87/10.69 inference(transitivity,[status(thm)],[7275, 7273])).
% 15.87/10.69 tff(7277,plain,
% 15.87/10.69 ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7278,plain,
% 15.87/10.69 ((~![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(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)),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7277, 7276])).
% 15.87/10.69 tff(7279,plain,
% 15.87/10.69 (node15(s85) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7278, 992, 7272])).
% 15.87/10.69 tff(7280,plain,
% 15.87/10.69 (m_main_v_turn(s86, c_1)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7279, 7268, 7105, 7173])).
% 15.87/10.69 tff(7281,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7282,plain,
% 15.87/10.69 ((~![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)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7283,plain,
% 15.87/10.69 ((~![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))),
% 15.87/10.69 inference(modus_ponens,[status(thm)],[7282, 7281])).
% 15.87/10.69 tff(7284,plain,
% 15.87/10.69 (~m_main_v_turn(s86, c_2)),
% 15.87/10.69 inference(unit_resolution,[status(thm)],[7283, 156, 7280])).
% 15.87/10.69 tff(7285,plain,
% 15.87/10.69 (((~![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)))),
% 15.87/10.69 inference(rewrite,[status(thm)],[])).
% 15.87/10.69 tff(7286,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s86, c_2) | (~node12(s86)))),
% 15.87/10.69 inference(quant_inst,[status(thm)],[])).
% 15.87/10.69 tff(7287,plain,
% 15.87/10.69 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s86, c_2) | (~node12(s86))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 15.87/10.70 tff(7288,plain,
% 15.87/10.70 (~node12(s86)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7287, 184, 7284])).
% 15.87/10.70 tff(7289,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7290,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s86, c_n2) | (~node8(s86)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7291,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s86, c_n2) | (~node8(s86))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 15.87/10.70 tff(7292,plain,
% 15.87/10.70 (~node8(s86)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7291, 271, 7221])).
% 15.87/10.70 tff(7293,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7294,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s86, c_n2) | (~node9(s86)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7295,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s86, c_n2) | (~node9(s86))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 15.87/10.70 tff(7296,plain,
% 15.87/10.70 (~node9(s86)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7295, 88, 7221])).
% 15.87/10.70 tff(7297,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7298,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s86, c_n2) | (~node10(s86)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7299,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s86, c_n2) | (~node10(s86))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 15.87/10.70 tff(7300,plain,
% 15.87/10.70 (~node10(s86)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7299, 249, 7221])).
% 15.87/10.70 tff(7301,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7302,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s86, c_n1) | (~node11(s86)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7303,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s86, c_n1) | (~node11(s86))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 15.87/10.70 tff(7304,plain,
% 15.87/10.70 (~node11(s86)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7303, 238, 7241])).
% 15.87/10.70 tff(7305,plain,
% 15.87/10.70 (((~![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))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7306,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s86, s87)) | node14(s86, s87))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7307,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s86, s87)) | node14(s86, s87)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 15.87/10.70 tff(7308,plain,
% 15.87/10.70 (node14(s86, s87)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7307, 46, 7252])).
% 15.87/10.70 tff(7309,plain,
% 15.87/10.70 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7310,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7311,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 15.87/10.70 tff(7312,plain,
% 15.87/10.70 (m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7311, 296, 7308])).
% 15.87/10.70 tff(7313,plain,
% 15.87/10.70 (node13(s86, s87)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7312, 7304, 7229, 7300, 7296, 7292, 7288])).
% 15.87/10.70 tff(7314,plain,
% 15.87/10.70 (((~![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(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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7315,plain,
% 15.87/10.70 (((~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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7316,plain,
% 15.87/10.70 (((~![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))))),
% 15.87/10.70 inference(monotonicity,[status(thm)],[7315])).
% 15.87/10.70 tff(7317,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(transitivity,[status(thm)],[7316, 7314])).
% 15.87/10.70 tff(7318,plain,
% 15.87/10.70 ((~![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))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7319,plain,
% 15.87/10.70 ((~![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(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7318, 7317])).
% 15.87/10.70 tff(7320,plain,
% 15.87/10.70 (m_main_v_state2(s87, c_t2)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7319, 518, 7217, 7313])).
% 15.87/10.70 tff(7321,plain,
% 15.87/10.70 (succ(s87, s88) <=> succ(s87, s88)),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7322,axiom,(succ(s87, s88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound88')).
% 15.87/10.70 tff(7323,plain,
% 15.87/10.70 (succ(s87, s88)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7322, 7321])).
% 15.87/10.70 tff(7324,plain,
% 15.87/10.70 (((~![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))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7325,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7326,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 15.87/10.70 tff(7327,plain,
% 15.87/10.70 (trans(s87, s88)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7326, 7323, 32])).
% 15.87/10.70 tff(7328,plain,
% 15.87/10.70 (((~![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))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7329,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s87, s88)) | node7(s87, s88))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7330,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s87, s88)) | node7(s87, s88)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 15.87/10.70 tff(7331,plain,
% 15.87/10.70 (node7(s87, s88)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7330, 206, 7327])).
% 15.87/10.70 tff(7332,plain,
% 15.87/10.70 (((~![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(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))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7333,plain,
% 15.87/10.70 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7334,plain,
% 15.87/10.70 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 15.87/10.70 tff(7335,plain,
% 15.87/10.70 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_state1(s88, c_t1)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7334, 651, 7331])).
% 15.87/10.70 tff(7336,plain,
% 15.87/10.70 (m_main_v_state1(s88, c_t1)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7335, 7320, 7264])).
% 15.87/10.70 tff(7337,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7338,plain,
% 15.87/10.70 ((~![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)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7339,plain,
% 15.87/10.70 ((~![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))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7338, 7337])).
% 15.87/10.70 tff(7340,plain,
% 15.87/10.70 (~m_main_v_state1(s88, c_n1)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7339, 10, 7336])).
% 15.87/10.70 tff(7341,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7342,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s88, c_n1) | (~node1(s88)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7343,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s88, c_n1) | (~node1(s88))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 15.87/10.70 tff(7344,plain,
% 15.87/10.70 (~node1(s88)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7343, 421, 7340])).
% 15.87/10.70 tff(7345,plain,
% 15.87/10.70 (((~![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))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7346,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s87, s88)) | node18(s87, s88))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7347,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s87, s88)) | node18(s87, s88)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7346, 7345])).
% 15.87/10.70 tff(7348,plain,
% 15.87/10.70 (node18(s87, s88)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7347, 125, 7327])).
% 15.87/10.70 tff(7349,plain,
% 15.87/10.70 (((~![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(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))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7350,plain,
% 15.87/10.70 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7351,plain,
% 15.87/10.70 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7350, 7349])).
% 15.87/10.70 tff(7352,plain,
% 15.87/10.70 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_turn(s88, c_2)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7351, 760, 7348])).
% 15.87/10.70 tff(7353,plain,
% 15.87/10.70 (m_main_v_turn(s88, c_2)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7352, 7320, 7264])).
% 15.87/10.70 tff(7354,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7355,plain,
% 15.87/10.70 ((~![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)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7356,plain,
% 15.87/10.70 ((~![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))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7355, 7354])).
% 15.87/10.70 tff(7357,plain,
% 15.87/10.70 (~m_main_v_turn(s88, c_1)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7356, 156, 7353])).
% 15.87/10.70 tff(7358,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7359,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s88, c_1) | (~node5(s88)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7360,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s88, c_1) | (~node5(s88))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 15.87/10.70 tff(7361,plain,
% 15.87/10.70 (~node5(s88)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7360, 776, 7357])).
% 15.87/10.70 tff(7362,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7363,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s88, c_n1) | (~node2(s88)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7364,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s88, c_n1) | (~node2(s88))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 15.87/10.70 tff(7365,plain,
% 15.87/10.70 (~node2(s88)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7364, 787, 7340])).
% 15.87/10.70 tff(7366,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7367,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s88, c_n1) | (~node3(s88)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7368,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s88, c_n1) | (~node3(s88))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7367, 7366])).
% 15.87/10.70 tff(7369,plain,
% 15.87/10.70 (~node3(s88)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7368, 798, 7340])).
% 15.87/10.70 tff(7370,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7371,plain,
% 15.87/10.70 ((~![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)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7372,plain,
% 15.87/10.70 ((~![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))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7371, 7370])).
% 15.87/10.70 tff(7373,plain,
% 15.87/10.70 (~m_main_v_state1(s88, c_c1)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7372, 539, 7336])).
% 15.87/10.70 tff(7374,plain,
% 15.87/10.70 (((~![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(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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7375,plain,
% 15.87/10.70 (((~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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7376,plain,
% 15.87/10.70 (((~![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))))),
% 15.87/10.70 inference(monotonicity,[status(thm)],[7375])).
% 15.87/10.70 tff(7377,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(transitivity,[status(thm)],[7376, 7374])).
% 15.87/10.70 tff(7378,plain,
% 15.87/10.70 ((~![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)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7379,plain,
% 15.87/10.70 ((~![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(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 15.87/10.70 tff(7380,plain,
% 15.87/10.70 (~m_main_v_state2(s87, c_n2)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7379, 311, 7221, 7313])).
% 15.87/10.70 tff(7381,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7382,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s87, c_n2) | (~node9(s87)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7383,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s87, c_n2) | (~node9(s87))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7382, 7381])).
% 15.87/10.70 tff(7384,plain,
% 15.87/10.70 (~node9(s87)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7383, 88, 7380])).
% 15.87/10.70 tff(7385,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7386,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s87, c_n2) | (~node10(s87)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7387,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s87, c_n2) | (~node10(s87))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7386, 7385])).
% 15.87/10.70 tff(7388,plain,
% 15.87/10.70 (~node10(s87)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7387, 249, 7380])).
% 15.87/10.70 tff(7389,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7390,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s87, c_n2) | (~node8(s87)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7391,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s87, c_n2) | (~node8(s87))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 15.87/10.70 tff(7392,plain,
% 15.87/10.70 (~node8(s87)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7391, 271, 7380])).
% 15.87/10.70 tff(7393,plain,
% 15.87/10.70 (((~![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))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7394,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s87, s88)) | node14(s87, s88))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7395,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s87, s88)) | node14(s87, s88)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 15.87/10.70 tff(7396,plain,
% 15.87/10.70 (node14(s87, s88)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7395, 46, 7327])).
% 15.87/10.70 tff(7397,plain,
% 15.87/10.70 (((~![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(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))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7398,plain,
% 15.87/10.70 ((~![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(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))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7399,plain,
% 15.87/10.70 ((~![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(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)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 15.87/10.70 tff(7400,plain,
% 15.87/10.70 ((~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)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7399, 617, 7396])).
% 15.87/10.70 tff(7401,plain,
% 15.87/10.70 (m_main_v_state2(s88, c_c2)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7400, 7392, 7264, 7320, 7388, 7384])).
% 15.87/10.70 tff(7402,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7403,plain,
% 15.87/10.70 ((~![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)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7404,plain,
% 15.87/10.70 ((~![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))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7403, 7402])).
% 15.87/10.70 tff(7405,plain,
% 15.87/10.70 (~m_main_v_state2(s88, c_n2)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7404, 697, 7401])).
% 15.87/10.70 tff(7406,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7407,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s88, c_n2) | (~node4(s88)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7408,plain,
% 15.87/10.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s88, c_n2) | (~node4(s88))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7407, 7406])).
% 15.87/10.70 tff(7409,plain,
% 15.87/10.70 (~node4(s88)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7408, 388, 7405])).
% 15.87/10.70 tff(7410,plain,
% 15.87/10.70 (succ(s88, s89) <=> succ(s88, s89)),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7411,axiom,(succ(s88, s89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound89')).
% 15.87/10.70 tff(7412,plain,
% 15.87/10.70 (succ(s88, s89)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7411, 7410])).
% 15.87/10.70 tff(7413,plain,
% 15.87/10.70 (((~![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))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7414,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7415,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7414, 7413])).
% 15.87/10.70 tff(7416,plain,
% 15.87/10.70 (trans(s88, s89)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7415, 7412, 32])).
% 15.87/10.70 tff(7417,plain,
% 15.87/10.70 (((~![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))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7418,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s88, s89)) | node7(s88, s89))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7419,plain,
% 15.87/10.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s88, s89)) | node7(s88, s89)),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 15.87/10.70 tff(7420,plain,
% 15.87/10.70 (node7(s88, s89)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7419, 206, 7416])).
% 15.87/10.70 tff(7421,plain,
% 15.87/10.70 (((~![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(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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7422,plain,
% 15.87/10.70 ((~![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(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7423,plain,
% 15.87/10.70 ((~![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(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7422, 7421])).
% 15.87/10.70 tff(7424,plain,
% 15.87/10.70 (m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7423, 820, 7420])).
% 15.87/10.70 tff(7425,plain,
% 15.87/10.70 (node6(s88, s89)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7424, 7409, 7373, 7369, 7365, 7361, 7344])).
% 15.87/10.70 tff(7426,plain,
% 15.87/10.70 (((~![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(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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7427,plain,
% 15.87/10.70 (((~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)))),
% 15.87/10.70 inference(rewrite,[status(thm)],[])).
% 15.87/10.70 tff(7428,plain,
% 15.87/10.70 (((~![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))))),
% 15.87/10.70 inference(monotonicity,[status(thm)],[7427])).
% 15.87/10.70 tff(7429,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.70 inference(transitivity,[status(thm)],[7428, 7426])).
% 15.87/10.70 tff(7430,plain,
% 15.87/10.70 ((~![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))),
% 15.87/10.70 inference(quant_inst,[status(thm)],[])).
% 15.87/10.70 tff(7431,plain,
% 15.87/10.70 ((~![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(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89))),
% 15.87/10.70 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 15.87/10.70 tff(7432,plain,
% 15.87/10.70 (m_main_v_state1(s89, c_t1)),
% 15.87/10.70 inference(unit_resolution,[status(thm)],[7431, 856, 7336, 7425])).
% 15.87/10.70 tff(7433,plain,
% 15.87/10.70 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7434,plain,
% 15.87/10.71 ((~![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)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7435,plain,
% 15.87/10.71 ((~![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))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7434, 7433])).
% 15.87/10.71 tff(7436,plain,
% 15.87/10.71 (~m_main_v_state2(s88, c_t2)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7435, 260, 7401])).
% 15.87/10.71 tff(7437,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7438,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s88, c_t2) | (~node12(s88)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7439,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s88, c_t2) | (~node12(s88))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7438, 7437])).
% 15.87/10.71 tff(7440,plain,
% 15.87/10.71 (~node12(s88)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7439, 633, 7436])).
% 15.87/10.71 tff(7441,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7442,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s88, c_n1) | (~node11(s88)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7443,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s88, c_n1) | (~node11(s88))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7442, 7441])).
% 15.87/10.71 tff(7444,plain,
% 15.87/10.71 (~node11(s88)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7443, 238, 7340])).
% 15.87/10.71 tff(7445,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7446,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s88, c_c1) | (~node10(s88)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7447,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s88, c_c1) | (~node10(s88))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7446, 7445])).
% 15.87/10.71 tff(7448,plain,
% 15.87/10.71 (~node10(s88)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7447, 675, 7373])).
% 15.87/10.71 tff(7449,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7450,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s88, c_n1) | (~node9(s88)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7451,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s88, c_n1) | (~node9(s88))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 15.87/10.71 tff(7452,plain,
% 15.87/10.71 (~node9(s88)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7451, 686, 7340])).
% 15.87/10.71 tff(7453,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7454,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s88, c_n2) | (~node8(s88)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7455,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s88, c_n2) | (~node8(s88))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 15.87/10.71 tff(7456,plain,
% 15.87/10.71 (~node8(s88)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7455, 271, 7405])).
% 15.87/10.71 tff(7457,plain,
% 15.87/10.71 (((~![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))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7458,plain,
% 15.87/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s88, s89)) | node14(s88, s89))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7459,plain,
% 15.87/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s88, s89)) | node14(s88, s89)),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7458, 7457])).
% 15.87/10.71 tff(7460,plain,
% 15.87/10.71 (node14(s88, s89)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7459, 46, 7416])).
% 15.87/10.71 tff(7461,plain,
% 15.87/10.71 (((~![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(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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7462,plain,
% 15.87/10.71 (((~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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7463,plain,
% 15.87/10.71 (((~![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(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))))),
% 15.87/10.71 inference(monotonicity,[status(thm)],[7462])).
% 15.87/10.71 tff(7464,plain,
% 15.87/10.71 (((~![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(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)))),
% 15.87/10.71 inference(transitivity,[status(thm)],[7463, 7461])).
% 15.87/10.71 tff(7465,plain,
% 15.87/10.71 ((~![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(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7466,plain,
% 15.87/10.71 ((~![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(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7465, 7464])).
% 15.87/10.71 tff(7467,plain,
% 15.87/10.71 (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~m_main_v_state2(s88, c_c2))),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7466, 726, 7460])).
% 15.87/10.71 tff(7468,plain,
% 15.87/10.71 (m_main_v_state2(s89, c_n2)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7467, 7456, 7401, 7452, 7448, 7444, 7440])).
% 15.87/10.71 tff(7469,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7470,plain,
% 15.87/10.71 ((~![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)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7471,plain,
% 15.87/10.71 ((~![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))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 15.87/10.71 tff(7472,plain,
% 15.87/10.71 (~m_main_v_state2(s89, c_t2)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7471, 77, 7468])).
% 15.87/10.71 tff(7473,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7474,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s89, c_t2) | (~node15(s89)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7475,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s89, c_t2) | (~node15(s89))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 15.87/10.71 tff(7476,plain,
% 15.87/10.71 (~node15(s89)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7475, 103, 7472])).
% 15.87/10.71 tff(7477,plain,
% 15.87/10.71 (succ(s89, s90) <=> succ(s89, s90)),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7478,axiom,(succ(s89, s90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound90')).
% 15.87/10.71 tff(7479,plain,
% 15.87/10.71 (succ(s89, s90)),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 15.87/10.71 tff(7480,plain,
% 15.87/10.71 (((~![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))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7481,plain,
% 15.87/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7482,plain,
% 15.87/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 15.87/10.71 tff(7483,plain,
% 15.87/10.71 (trans(s89, s90)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7482, 7479, 32])).
% 15.87/10.71 tff(7484,plain,
% 15.87/10.71 (((~![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))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7485,plain,
% 15.87/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s89, s90)) | node18(s89, s90))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7486,plain,
% 15.87/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s89, s90)) | node18(s89, s90)),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 15.87/10.71 tff(7487,plain,
% 15.87/10.71 (node18(s89, s90)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7486, 125, 7483])).
% 15.87/10.71 tff(7488,plain,
% 15.87/10.71 (((~![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(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))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7489,plain,
% 15.87/10.71 (((~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))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7490,plain,
% 15.87/10.71 (((~![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(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)))),
% 15.87/10.71 inference(monotonicity,[status(thm)],[7489])).
% 15.87/10.71 tff(7491,plain,
% 15.87/10.71 (((~![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(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))),
% 15.87/10.71 inference(transitivity,[status(thm)],[7490, 7488])).
% 15.87/10.71 tff(7492,plain,
% 15.87/10.71 ((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7493,plain,
% 15.87/10.71 ((~![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(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)),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 15.87/10.71 tff(7494,plain,
% 15.87/10.71 (node15(s89) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7493, 992, 7487])).
% 15.87/10.71 tff(7495,plain,
% 15.87/10.71 (m_main_v_turn(s90, c_1)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7494, 7476, 7468, 7432])).
% 15.87/10.71 tff(7496,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7497,plain,
% 15.87/10.71 ((~![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)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7498,plain,
% 15.87/10.71 ((~![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))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 15.87/10.71 tff(7499,plain,
% 15.87/10.71 (~m_main_v_turn(s90, c_2)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7498, 156, 7495])).
% 15.87/10.71 tff(7500,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7501,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s90, c_2) | (~node12(s90)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7502,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s90, c_2) | (~node12(s90))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7501, 7500])).
% 15.87/10.71 tff(7503,plain,
% 15.87/10.71 (~node12(s90)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7502, 184, 7499])).
% 15.87/10.71 tff(7504,plain,
% 15.87/10.71 (((~![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))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7505,plain,
% 15.87/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s89, s90)) | node14(s89, s90))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7506,plain,
% 15.87/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s89, s90)) | node14(s89, s90)),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 15.87/10.71 tff(7507,plain,
% 15.87/10.71 (node14(s89, s90)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7506, 46, 7483])).
% 15.87/10.71 tff(7508,plain,
% 15.87/10.71 (((~![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(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))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7509,plain,
% 15.87/10.71 ((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7510,plain,
% 15.87/10.71 ((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2)),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 15.87/10.71 tff(7511,plain,
% 15.87/10.71 ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state2(s90, c_t2)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7510, 922, 7507])).
% 15.87/10.71 tff(7512,plain,
% 15.87/10.71 (m_main_v_state2(s90, c_t2)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7511, 7432, 7468])).
% 15.87/10.71 tff(7513,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7514,plain,
% 15.87/10.71 ((~![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)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7515,plain,
% 15.87/10.71 ((~![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))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7514, 7513])).
% 15.87/10.71 tff(7516,plain,
% 15.87/10.71 (~m_main_v_state2(s90, c_n2)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7515, 77, 7512])).
% 15.87/10.71 tff(7517,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7518,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s90, c_n2) | (~node8(s90)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7519,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s90, c_n2) | (~node8(s90))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7518, 7517])).
% 15.87/10.71 tff(7520,plain,
% 15.87/10.71 (~node8(s90)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7519, 271, 7516])).
% 15.87/10.71 tff(7521,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7522,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s90, c_n2) | (~node9(s90)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7523,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s90, c_n2) | (~node9(s90))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7522, 7521])).
% 15.87/10.71 tff(7524,plain,
% 15.87/10.71 (~node9(s90)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7523, 88, 7516])).
% 15.87/10.71 tff(7525,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7526,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s90, c_n2) | (~node10(s90)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7527,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s90, c_n2) | (~node10(s90))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7526, 7525])).
% 15.87/10.71 tff(7528,plain,
% 15.87/10.71 (~node10(s90)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7527, 249, 7516])).
% 15.87/10.71 tff(7529,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7530,plain,
% 15.87/10.71 ((~![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)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7531,plain,
% 15.87/10.71 ((~![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))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7530, 7529])).
% 15.87/10.71 tff(7532,plain,
% 15.87/10.71 (~m_main_v_state2(s90, c_c2)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7531, 260, 7512])).
% 15.87/10.71 tff(7533,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7534,plain,
% 15.87/10.71 ((~![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)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7535,plain,
% 15.87/10.71 ((~![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))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7534, 7533])).
% 15.87/10.71 tff(7536,plain,
% 15.87/10.71 (~m_main_v_state2(s89, c_c2)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7535, 697, 7468])).
% 15.87/10.71 tff(7537,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7538,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s89, c_c2) | (~node3(s89)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7539,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s89, c_c2) | (~node3(s89))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 15.87/10.71 tff(7540,plain,
% 15.87/10.71 (~node3(s89)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7539, 399, 7536])).
% 15.87/10.71 tff(7541,plain,
% 15.87/10.71 (((~![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(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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7542,plain,
% 15.87/10.71 (((~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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7543,plain,
% 15.87/10.71 (((~![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))))),
% 15.87/10.71 inference(monotonicity,[status(thm)],[7542])).
% 15.87/10.71 tff(7544,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(transitivity,[status(thm)],[7543, 7541])).
% 15.87/10.71 tff(7545,plain,
% 15.87/10.71 ((~![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)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7546,plain,
% 15.87/10.71 ((~![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(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 15.87/10.71 tff(7547,plain,
% 15.87/10.71 (~m_main_v_state1(s89, c_n1)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7546, 835, 7340, 7425])).
% 15.87/10.71 tff(7548,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7549,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s89, c_n1) | (~node2(s89)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7550,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s89, c_n1) | (~node2(s89))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 15.87/10.71 tff(7551,plain,
% 15.87/10.71 (~node2(s89)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7550, 787, 7547])).
% 15.87/10.71 tff(7552,plain,
% 15.87/10.71 (((~![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)))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7553,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s89, c_t2) | (~node1(s89)))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7554,plain,
% 15.87/10.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s89, c_t2) | (~node1(s89))),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 15.87/10.71 tff(7555,plain,
% 15.87/10.71 (~node1(s89)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7554, 195, 7472])).
% 15.87/10.71 tff(7556,plain,
% 15.87/10.71 (((~![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))),
% 15.87/10.71 inference(rewrite,[status(thm)],[])).
% 15.87/10.71 tff(7557,plain,
% 15.87/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s89, s90)) | node7(s89, s90))),
% 15.87/10.71 inference(quant_inst,[status(thm)],[])).
% 15.87/10.71 tff(7558,plain,
% 15.87/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s89, s90)) | node7(s89, s90)),
% 15.87/10.71 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 15.87/10.71 tff(7559,plain,
% 15.87/10.71 (node7(s89, s90)),
% 15.87/10.71 inference(unit_resolution,[status(thm)],[7558, 206, 7483])).
% 15.87/10.71 tff(7560,plain,
% 15.87/10.71 (((~![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(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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7561,plain,
% 15.87/10.72 (((~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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7562,plain,
% 15.87/10.72 (((~![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(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))))),
% 15.87/10.72 inference(monotonicity,[status(thm)],[7561])).
% 15.87/10.72 tff(7563,plain,
% 15.87/10.72 (((~![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(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)))),
% 15.87/10.72 inference(transitivity,[status(thm)],[7562, 7560])).
% 15.87/10.72 tff(7564,plain,
% 15.87/10.72 ((~![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(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))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7565,plain,
% 15.87/10.72 ((~![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(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))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7564, 7563])).
% 15.87/10.72 tff(7566,plain,
% 15.87/10.72 ((~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)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7565, 892, 7559])).
% 15.87/10.72 tff(7567,plain,
% 15.87/10.72 (m_main_v_state1(s90, c_c1)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7566, 7555, 7468, 7432, 7551, 7540])).
% 15.87/10.72 tff(7568,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7569,plain,
% 15.87/10.72 ((~![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)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7570,plain,
% 15.87/10.72 ((~![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))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7569, 7568])).
% 15.87/10.72 tff(7571,plain,
% 15.87/10.72 (~m_main_v_state1(s90, c_n1)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7570, 454, 7567])).
% 15.87/10.72 tff(7572,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7573,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s90, c_n1) | (~node11(s90)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7574,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s90, c_n1) | (~node11(s90))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 15.87/10.72 tff(7575,plain,
% 15.87/10.72 (~node11(s90)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7574, 238, 7571])).
% 15.87/10.72 tff(7576,plain,
% 15.87/10.72 (succ(s90, s91) <=> succ(s90, s91)),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7577,axiom,(succ(s90, s91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound91')).
% 15.87/10.72 tff(7578,plain,
% 15.87/10.72 (succ(s90, s91)),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 15.87/10.72 tff(7579,plain,
% 15.87/10.72 (((~![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))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7580,plain,
% 15.87/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7581,plain,
% 15.87/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 15.87/10.72 tff(7582,plain,
% 15.87/10.72 (trans(s90, s91)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7581, 7578, 32])).
% 15.87/10.72 tff(7583,plain,
% 15.87/10.72 (((~![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))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7584,plain,
% 15.87/10.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s90, s91)) | node14(s90, s91))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7585,plain,
% 15.87/10.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s90, s91)) | node14(s90, s91)),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7584, 7583])).
% 15.87/10.72 tff(7586,plain,
% 15.87/10.72 (node14(s90, s91)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7585, 46, 7582])).
% 15.87/10.72 tff(7587,plain,
% 15.87/10.72 (((~![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(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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7588,plain,
% 15.87/10.72 ((~![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(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7589,plain,
% 15.87/10.72 ((~![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(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7588, 7587])).
% 15.87/10.72 tff(7590,plain,
% 15.87/10.72 (m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7589, 296, 7586])).
% 15.87/10.72 tff(7591,plain,
% 15.87/10.72 (node13(s90, s91)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7590, 7575, 7532, 7528, 7524, 7520, 7503])).
% 15.87/10.72 tff(7592,plain,
% 15.87/10.72 (((~![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(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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7593,plain,
% 15.87/10.72 (((~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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7594,plain,
% 15.87/10.72 (((~![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))))),
% 15.87/10.72 inference(monotonicity,[status(thm)],[7593])).
% 15.87/10.72 tff(7595,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(transitivity,[status(thm)],[7594, 7592])).
% 15.87/10.72 tff(7596,plain,
% 15.87/10.72 ((~![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)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7597,plain,
% 15.87/10.72 ((~![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(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7596, 7595])).
% 15.87/10.72 tff(7598,plain,
% 15.87/10.72 (~m_main_v_state2(s91, c_n2)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7597, 311, 7516, 7591])).
% 15.87/10.72 tff(7599,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7600,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s91, c_n2) | (~node9(s91)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7601,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s91, c_n2) | (~node9(s91))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7600, 7599])).
% 15.87/10.72 tff(7602,plain,
% 15.87/10.72 (~node9(s91)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7601, 88, 7598])).
% 15.87/10.72 tff(7603,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7604,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s91, c_n2) | (~node10(s91)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7605,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s91, c_n2) | (~node10(s91))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 15.87/10.72 tff(7606,plain,
% 15.87/10.72 (~node10(s91)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7605, 249, 7598])).
% 15.87/10.72 tff(7607,plain,
% 15.87/10.72 (((~![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(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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7608,plain,
% 15.87/10.72 (((~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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7609,plain,
% 15.87/10.72 (((~![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))))),
% 15.87/10.72 inference(monotonicity,[status(thm)],[7608])).
% 15.87/10.72 tff(7610,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(transitivity,[status(thm)],[7609, 7607])).
% 15.87/10.72 tff(7611,plain,
% 15.87/10.72 ((~![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))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7612,plain,
% 15.87/10.72 ((~![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(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 15.87/10.72 tff(7613,plain,
% 15.87/10.72 (m_main_v_state2(s91, c_t2)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7612, 518, 7512, 7591])).
% 15.87/10.72 tff(7614,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7615,plain,
% 15.87/10.72 ((~![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)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7616,plain,
% 15.87/10.72 ((~![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))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 15.87/10.72 tff(7617,plain,
% 15.87/10.72 (~m_main_v_state1(s90, c_t1)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7616, 539, 7567])).
% 15.87/10.72 tff(7618,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7619,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s90, c_t1) | (~node5(s90)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7620,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s90, c_t1) | (~node5(s90))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7619, 7618])).
% 15.87/10.72 tff(7621,plain,
% 15.87/10.72 (~node5(s90)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7620, 550, 7617])).
% 15.87/10.72 tff(7622,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7623,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s90, c_n2) | (~node4(s90)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7624,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s90, c_n2) | (~node4(s90))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7623, 7622])).
% 15.87/10.72 tff(7625,plain,
% 15.87/10.72 (~node4(s90)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7624, 388, 7516])).
% 15.87/10.72 tff(7626,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7627,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s90, c_c2) | (~node3(s90)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7628,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s90, c_c2) | (~node3(s90))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7627, 7626])).
% 15.87/10.72 tff(7629,plain,
% 15.87/10.72 (~node3(s90)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7628, 399, 7532])).
% 15.87/10.72 tff(7630,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7631,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s90, c_n2) | (~node2(s90)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7632,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s90, c_n2) | (~node2(s90))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7631, 7630])).
% 15.87/10.72 tff(7633,plain,
% 15.87/10.72 (~node2(s90)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7632, 410, 7516])).
% 15.87/10.72 tff(7634,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7635,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s90, c_n1) | (~node1(s90)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7636,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s90, c_n1) | (~node1(s90))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7635, 7634])).
% 15.87/10.72 tff(7637,plain,
% 15.87/10.72 (~node1(s90)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7636, 421, 7571])).
% 15.87/10.72 tff(7638,plain,
% 15.87/10.72 (((~![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))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7639,plain,
% 15.87/10.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s90, s91)) | node7(s90, s91))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7640,plain,
% 15.87/10.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s90, s91)) | node7(s90, s91)),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 15.87/10.72 tff(7641,plain,
% 15.87/10.72 (node7(s90, s91)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7640, 206, 7582])).
% 15.87/10.72 tff(7642,plain,
% 15.87/10.72 (((~![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(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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7643,plain,
% 15.87/10.72 (((~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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7644,plain,
% 15.87/10.72 (((~![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(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))))),
% 15.87/10.72 inference(monotonicity,[status(thm)],[7643])).
% 15.87/10.72 tff(7645,plain,
% 15.87/10.72 (((~![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(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)))),
% 15.87/10.72 inference(transitivity,[status(thm)],[7644, 7642])).
% 15.87/10.72 tff(7646,plain,
% 15.87/10.72 ((~![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(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7647,plain,
% 15.87/10.72 ((~![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(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 15.87/10.72 tff(7648,plain,
% 15.87/10.72 (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7647, 584, 7641])).
% 15.87/10.72 tff(7649,plain,
% 15.87/10.72 (m_main_v_state1(s91, c_n1)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7648, 7637, 7567, 7633, 7629, 7625, 7621])).
% 15.87/10.72 tff(7650,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7651,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s91, c_n2) | (~node8(s91)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7652,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s91, c_n2) | (~node8(s91))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7651, 7650])).
% 15.87/10.72 tff(7653,plain,
% 15.87/10.72 (~node8(s91)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7652, 271, 7598])).
% 15.87/10.72 tff(7654,plain,
% 15.87/10.72 (succ(s91, s92) <=> succ(s91, s92)),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7655,axiom,(succ(s91, s92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound92')).
% 15.87/10.72 tff(7656,plain,
% 15.87/10.72 (succ(s91, s92)),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7655, 7654])).
% 15.87/10.72 tff(7657,plain,
% 15.87/10.72 (((~![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))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7658,plain,
% 15.87/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7659,plain,
% 15.87/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 15.87/10.72 tff(7660,plain,
% 15.87/10.72 (trans(s91, s92)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7659, 7656, 32])).
% 15.87/10.72 tff(7661,plain,
% 15.87/10.72 (((~![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))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7662,plain,
% 15.87/10.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s91, s92)) | node14(s91, s92))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7663,plain,
% 15.87/10.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s91, s92)) | node14(s91, s92)),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 15.87/10.72 tff(7664,plain,
% 15.87/10.72 (node14(s91, s92)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7663, 46, 7660])).
% 15.87/10.72 tff(7665,plain,
% 15.87/10.72 (((~![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(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))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7666,plain,
% 15.87/10.72 ((~![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(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))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7667,plain,
% 15.87/10.72 ((~![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(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)),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 15.87/10.72 tff(7668,plain,
% 15.87/10.72 ((~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)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7667, 617, 7664])).
% 15.87/10.72 tff(7669,plain,
% 15.87/10.72 (m_main_v_state2(s92, c_c2)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7668, 7653, 7649, 7613, 7606, 7602])).
% 15.87/10.72 tff(7670,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7671,plain,
% 15.87/10.72 ((~![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)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.72 tff(7672,plain,
% 15.87/10.72 ((~![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))),
% 15.87/10.72 inference(modus_ponens,[status(thm)],[7671, 7670])).
% 15.87/10.72 tff(7673,plain,
% 15.87/10.72 (~m_main_v_state2(s92, c_t2)),
% 15.87/10.72 inference(unit_resolution,[status(thm)],[7672, 260, 7669])).
% 15.87/10.72 tff(7674,plain,
% 15.87/10.72 (((~![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)))),
% 15.87/10.72 inference(rewrite,[status(thm)],[])).
% 15.87/10.72 tff(7675,plain,
% 15.87/10.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s92, c_t2) | (~node12(s92)))),
% 15.87/10.72 inference(quant_inst,[status(thm)],[])).
% 15.87/10.73 tff(7676,plain,
% 15.87/10.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s92, c_t2) | (~node12(s92))),
% 15.87/10.73 inference(modus_ponens,[status(thm)],[7675, 7674])).
% 15.87/10.73 tff(7677,plain,
% 15.87/10.73 (~node12(s92)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7676, 633, 7673])).
% 15.87/10.73 tff(7678,plain,
% 15.87/10.73 (((~![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))),
% 15.87/10.73 inference(rewrite,[status(thm)],[])).
% 15.87/10.73 tff(7679,plain,
% 15.87/10.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s91, s92)) | node7(s91, s92))),
% 15.87/10.73 inference(quant_inst,[status(thm)],[])).
% 15.87/10.73 tff(7680,plain,
% 15.87/10.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s91, s92)) | node7(s91, s92)),
% 15.87/10.73 inference(modus_ponens,[status(thm)],[7679, 7678])).
% 15.87/10.73 tff(7681,plain,
% 15.87/10.73 (node7(s91, s92)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7680, 206, 7660])).
% 15.87/10.73 tff(7682,plain,
% 15.87/10.73 (((~![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(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))),
% 15.87/10.73 inference(rewrite,[status(thm)],[])).
% 15.87/10.73 tff(7683,plain,
% 15.87/10.73 ((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))),
% 15.87/10.73 inference(quant_inst,[status(thm)],[])).
% 15.87/10.73 tff(7684,plain,
% 15.87/10.73 ((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1)),
% 15.87/10.73 inference(modus_ponens,[status(thm)],[7683, 7682])).
% 15.87/10.73 tff(7685,plain,
% 15.87/10.73 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_state1(s92, c_t1)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7684, 651, 7681])).
% 15.87/10.73 tff(7686,plain,
% 15.87/10.73 (m_main_v_state1(s92, c_t1)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7685, 7613, 7649])).
% 15.87/10.73 tff(7687,plain,
% 15.87/10.73 (((~![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)))),
% 15.87/10.73 inference(rewrite,[status(thm)],[])).
% 15.87/10.73 tff(7688,plain,
% 15.87/10.73 ((~![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)))),
% 15.87/10.73 inference(quant_inst,[status(thm)],[])).
% 15.87/10.73 tff(7689,plain,
% 15.87/10.73 ((~![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))),
% 15.87/10.73 inference(modus_ponens,[status(thm)],[7688, 7687])).
% 15.87/10.73 tff(7690,plain,
% 15.87/10.73 (~m_main_v_state1(s92, c_n1)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7689, 10, 7686])).
% 15.87/10.73 tff(7691,plain,
% 15.87/10.73 (((~![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)))),
% 15.87/10.73 inference(rewrite,[status(thm)],[])).
% 15.87/10.73 tff(7692,plain,
% 15.87/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s92, c_n1) | (~node11(s92)))),
% 15.87/10.73 inference(quant_inst,[status(thm)],[])).
% 15.87/10.73 tff(7693,plain,
% 15.87/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s92, c_n1) | (~node11(s92))),
% 15.87/10.73 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 15.87/10.73 tff(7694,plain,
% 15.87/10.73 (~node11(s92)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7693, 238, 7690])).
% 15.87/10.73 tff(7695,plain,
% 15.87/10.73 (((~![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)))),
% 15.87/10.73 inference(rewrite,[status(thm)],[])).
% 15.87/10.73 tff(7696,plain,
% 15.87/10.73 ((~![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)))),
% 15.87/10.73 inference(quant_inst,[status(thm)],[])).
% 15.87/10.73 tff(7697,plain,
% 15.87/10.73 ((~![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))),
% 15.87/10.73 inference(modus_ponens,[status(thm)],[7696, 7695])).
% 15.87/10.73 tff(7698,plain,
% 15.87/10.73 (~m_main_v_state1(s92, c_c1)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7697, 539, 7686])).
% 15.87/10.73 tff(7699,plain,
% 15.87/10.73 (((~![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)))),
% 15.87/10.73 inference(rewrite,[status(thm)],[])).
% 15.87/10.73 tff(7700,plain,
% 15.87/10.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s92, c_c1) | (~node10(s92)))),
% 15.87/10.73 inference(quant_inst,[status(thm)],[])).
% 15.87/10.73 tff(7701,plain,
% 15.87/10.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s92, c_c1) | (~node10(s92))),
% 15.87/10.73 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 15.87/10.73 tff(7702,plain,
% 15.87/10.73 (~node10(s92)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7701, 675, 7698])).
% 15.87/10.73 tff(7703,plain,
% 15.87/10.73 (((~![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)))),
% 15.87/10.73 inference(rewrite,[status(thm)],[])).
% 15.87/10.73 tff(7704,plain,
% 15.87/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s92, c_n1) | (~node9(s92)))),
% 15.87/10.73 inference(quant_inst,[status(thm)],[])).
% 15.87/10.73 tff(7705,plain,
% 15.87/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s92, c_n1) | (~node9(s92))),
% 15.87/10.73 inference(modus_ponens,[status(thm)],[7704, 7703])).
% 15.87/10.73 tff(7706,plain,
% 15.87/10.73 (~node9(s92)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7705, 686, 7690])).
% 15.87/10.73 tff(7707,plain,
% 15.87/10.73 (((~![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)))),
% 15.87/10.73 inference(rewrite,[status(thm)],[])).
% 15.87/10.73 tff(7708,plain,
% 15.87/10.73 ((~![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)))),
% 15.87/10.73 inference(quant_inst,[status(thm)],[])).
% 15.87/10.73 tff(7709,plain,
% 15.87/10.73 ((~![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))),
% 15.87/10.73 inference(modus_ponens,[status(thm)],[7708, 7707])).
% 15.87/10.73 tff(7710,plain,
% 15.87/10.73 (~m_main_v_state2(s92, c_n2)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7709, 697, 7669])).
% 15.87/10.73 tff(7711,plain,
% 15.87/10.73 (((~![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)))),
% 15.87/10.73 inference(rewrite,[status(thm)],[])).
% 15.87/10.73 tff(7712,plain,
% 15.87/10.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s92, c_n2) | (~node8(s92)))),
% 15.87/10.73 inference(quant_inst,[status(thm)],[])).
% 15.87/10.73 tff(7713,plain,
% 15.87/10.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s92, c_n2) | (~node8(s92))),
% 15.87/10.73 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 15.87/10.73 tff(7714,plain,
% 15.87/10.73 (~node8(s92)),
% 15.87/10.73 inference(unit_resolution,[status(thm)],[7713, 271, 7710])).
% 15.87/10.73 tff(7715,plain,
% 15.87/10.73 (succ(s92, s93) <=> succ(s92, s93)),
% 15.87/10.73 inference(rewrite,[status(thm)],[])).
% 15.87/10.73 tff(7716,axiom,(succ(s92, s93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound93')).
% 15.93/10.73 tff(7717,plain,
% 15.93/10.73 (succ(s92, s93)),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7716, 7715])).
% 15.93/10.73 tff(7718,plain,
% 15.93/10.73 (((~![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))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7719,plain,
% 15.93/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7720,plain,
% 15.93/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7719, 7718])).
% 15.93/10.73 tff(7721,plain,
% 15.93/10.73 (trans(s92, s93)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7720, 7717, 32])).
% 15.93/10.73 tff(7722,plain,
% 15.93/10.73 (((~![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))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7723,plain,
% 15.93/10.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s92, s93)) | node14(s92, s93))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7724,plain,
% 15.93/10.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s92, s93)) | node14(s92, s93)),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7723, 7722])).
% 15.93/10.73 tff(7725,plain,
% 15.93/10.73 (node14(s92, s93)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7724, 46, 7721])).
% 15.93/10.73 tff(7726,plain,
% 15.93/10.73 (((~![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(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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7727,plain,
% 15.93/10.73 (((~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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7728,plain,
% 15.93/10.73 (((~![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(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))))),
% 15.93/10.73 inference(monotonicity,[status(thm)],[7727])).
% 15.93/10.73 tff(7729,plain,
% 15.93/10.73 (((~![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(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)))),
% 15.93/10.73 inference(transitivity,[status(thm)],[7728, 7726])).
% 15.93/10.73 tff(7730,plain,
% 15.93/10.73 ((~![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(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7731,plain,
% 15.93/10.73 ((~![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(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7730, 7729])).
% 15.93/10.73 tff(7732,plain,
% 15.93/10.73 (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~m_main_v_state2(s92, c_c2))),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7731, 726, 7725])).
% 15.93/10.73 tff(7733,plain,
% 15.93/10.73 (m_main_v_state2(s93, c_n2)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7732, 7714, 7669, 7706, 7702, 7694, 7677])).
% 15.93/10.73 tff(7734,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7735,plain,
% 15.93/10.73 ((~![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)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7736,plain,
% 15.93/10.73 ((~![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))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7735, 7734])).
% 15.93/10.73 tff(7737,plain,
% 15.93/10.73 (~m_main_v_state2(s93, c_c2)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7736, 697, 7733])).
% 15.93/10.73 tff(7738,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7739,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s93, c_c2) | (~node3(s93)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7740,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s93, c_c2) | (~node3(s93))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7739, 7738])).
% 15.93/10.73 tff(7741,plain,
% 15.93/10.73 (~node3(s93)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7740, 399, 7737])).
% 15.93/10.73 tff(7742,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7743,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s92, c_n1) | (~node1(s92)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7744,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s92, c_n1) | (~node1(s92))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7743, 7742])).
% 15.93/10.73 tff(7745,plain,
% 15.93/10.73 (~node1(s92)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7744, 421, 7690])).
% 15.93/10.73 tff(7746,plain,
% 15.93/10.73 (((~![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))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7747,plain,
% 15.93/10.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s91, s92)) | node18(s91, s92))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7748,plain,
% 15.93/10.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s91, s92)) | node18(s91, s92)),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7747, 7746])).
% 15.93/10.73 tff(7749,plain,
% 15.93/10.73 (node18(s91, s92)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7748, 125, 7660])).
% 15.93/10.73 tff(7750,plain,
% 15.93/10.73 (((~![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(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))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7751,plain,
% 15.93/10.73 ((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7752,plain,
% 15.93/10.73 ((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2)),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 15.93/10.73 tff(7753,plain,
% 15.93/10.73 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_turn(s92, c_2)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7752, 760, 7749])).
% 15.93/10.73 tff(7754,plain,
% 15.93/10.73 (m_main_v_turn(s92, c_2)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7753, 7613, 7649])).
% 15.93/10.73 tff(7755,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7756,plain,
% 15.93/10.73 ((~![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)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7757,plain,
% 15.93/10.73 ((~![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))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 15.93/10.73 tff(7758,plain,
% 15.93/10.73 (~m_main_v_turn(s92, c_1)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7757, 156, 7754])).
% 15.93/10.73 tff(7759,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7760,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s92, c_1) | (~node5(s92)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7761,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s92, c_1) | (~node5(s92))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7760, 7759])).
% 15.93/10.73 tff(7762,plain,
% 15.93/10.73 (~node5(s92)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7761, 776, 7758])).
% 15.93/10.73 tff(7763,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7764,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s92, c_n1) | (~node2(s92)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7765,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s92, c_n1) | (~node2(s92))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7764, 7763])).
% 15.93/10.73 tff(7766,plain,
% 15.93/10.73 (~node2(s92)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7765, 787, 7690])).
% 15.93/10.73 tff(7767,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7768,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s92, c_n1) | (~node3(s92)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7769,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s92, c_n1) | (~node3(s92))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 15.93/10.73 tff(7770,plain,
% 15.93/10.73 (~node3(s92)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7769, 798, 7690])).
% 15.93/10.73 tff(7771,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7772,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s92, c_n2) | (~node4(s92)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7773,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s92, c_n2) | (~node4(s92))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 15.93/10.73 tff(7774,plain,
% 15.93/10.73 (~node4(s92)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7773, 388, 7710])).
% 15.93/10.73 tff(7775,plain,
% 15.93/10.73 (((~![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))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7776,plain,
% 15.93/10.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s92, s93)) | node7(s92, s93))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7777,plain,
% 15.93/10.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s92, s93)) | node7(s92, s93)),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7776, 7775])).
% 15.93/10.73 tff(7778,plain,
% 15.93/10.73 (node7(s92, s93)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7777, 206, 7721])).
% 15.93/10.73 tff(7779,plain,
% 15.93/10.73 (((~![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(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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7780,plain,
% 15.93/10.73 ((~![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(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7781,plain,
% 15.93/10.73 ((~![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(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7780, 7779])).
% 15.93/10.73 tff(7782,plain,
% 15.93/10.73 (m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7781, 820, 7778])).
% 15.93/10.73 tff(7783,plain,
% 15.93/10.73 (node6(s92, s93)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7782, 7774, 7698, 7770, 7766, 7762, 7745])).
% 15.93/10.73 tff(7784,plain,
% 15.93/10.73 (((~![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(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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7785,plain,
% 15.93/10.73 (((~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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7786,plain,
% 15.93/10.73 (((~![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))))),
% 15.93/10.73 inference(monotonicity,[status(thm)],[7785])).
% 15.93/10.73 tff(7787,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(transitivity,[status(thm)],[7786, 7784])).
% 15.93/10.73 tff(7788,plain,
% 15.93/10.73 ((~![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)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7789,plain,
% 15.93/10.73 ((~![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(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7788, 7787])).
% 15.93/10.73 tff(7790,plain,
% 15.93/10.73 (~m_main_v_state1(s93, c_n1)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7789, 835, 7690, 7783])).
% 15.93/10.73 tff(7791,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7792,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s93, c_n1) | (~node2(s93)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7793,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s93, c_n1) | (~node2(s93))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7792, 7791])).
% 15.93/10.73 tff(7794,plain,
% 15.93/10.73 (~node2(s93)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7793, 787, 7790])).
% 15.93/10.73 tff(7795,plain,
% 15.93/10.73 (((~![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(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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7796,plain,
% 15.93/10.73 (((~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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7797,plain,
% 15.93/10.73 (((~![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))))),
% 15.93/10.73 inference(monotonicity,[status(thm)],[7796])).
% 15.93/10.73 tff(7798,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(transitivity,[status(thm)],[7797, 7795])).
% 15.93/10.73 tff(7799,plain,
% 15.93/10.73 ((~![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))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7800,plain,
% 15.93/10.73 ((~![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(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 15.93/10.73 tff(7801,plain,
% 15.93/10.73 (m_main_v_state1(s93, c_t1)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7800, 856, 7686, 7783])).
% 15.93/10.73 tff(7802,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7803,plain,
% 15.93/10.73 ((~![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)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7804,plain,
% 15.93/10.73 ((~![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))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 15.93/10.73 tff(7805,plain,
% 15.93/10.73 (~m_main_v_state2(s93, c_t2)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7804, 77, 7733])).
% 15.93/10.73 tff(7806,plain,
% 15.93/10.73 (((~![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)))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7807,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s93, c_t2) | (~node1(s93)))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7808,plain,
% 15.93/10.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s93, c_t2) | (~node1(s93))),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 15.93/10.73 tff(7809,plain,
% 15.93/10.73 (~node1(s93)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7808, 195, 7805])).
% 15.93/10.73 tff(7810,plain,
% 15.93/10.73 (succ(s93, s94) <=> succ(s93, s94)),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7811,axiom,(succ(s93, s94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound94')).
% 15.93/10.73 tff(7812,plain,
% 15.93/10.73 (succ(s93, s94)),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 15.93/10.73 tff(7813,plain,
% 15.93/10.73 (((~![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))),
% 15.93/10.73 inference(rewrite,[status(thm)],[])).
% 15.93/10.73 tff(7814,plain,
% 15.93/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 15.93/10.73 inference(quant_inst,[status(thm)],[])).
% 15.93/10.73 tff(7815,plain,
% 15.93/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 15.93/10.73 inference(modus_ponens,[status(thm)],[7814, 7813])).
% 15.93/10.73 tff(7816,plain,
% 15.93/10.73 (trans(s93, s94)),
% 15.93/10.73 inference(unit_resolution,[status(thm)],[7815, 7812, 32])).
% 15.93/10.73 tff(7817,plain,
% 15.93/10.73 (((~![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))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7818,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s93, s94)) | node7(s93, s94))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7819,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s93, s94)) | node7(s93, s94)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7818, 7817])).
% 15.93/10.74 tff(7820,plain,
% 15.93/10.74 (node7(s93, s94)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7819, 206, 7816])).
% 15.93/10.74 tff(7821,plain,
% 15.93/10.74 (((~![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(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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7822,plain,
% 15.93/10.74 (((~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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7823,plain,
% 15.93/10.74 (((~![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(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))))),
% 15.93/10.74 inference(monotonicity,[status(thm)],[7822])).
% 15.93/10.74 tff(7824,plain,
% 15.93/10.74 (((~![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(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)))),
% 15.93/10.74 inference(transitivity,[status(thm)],[7823, 7821])).
% 15.93/10.74 tff(7825,plain,
% 15.93/10.74 ((~![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(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))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7826,plain,
% 15.93/10.74 ((~![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(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))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7825, 7824])).
% 15.93/10.74 tff(7827,plain,
% 15.93/10.74 ((~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)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7826, 892, 7820])).
% 15.93/10.74 tff(7828,plain,
% 15.93/10.74 (m_main_v_state1(s94, c_c1)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7827, 7809, 7733, 7801, 7794, 7741])).
% 15.93/10.74 tff(7829,plain,
% 15.93/10.74 (^[X: $i] : refl(((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ((~m_main_v_state1(X, c_c1)) | (~always19(X))))),
% 15.93/10.74 inference(bind,[status(th)],[])).
% 15.93/10.74 tff(7830,plain,
% 15.93/10.74 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 15.93/10.74 inference(quant_intro,[status(thm)],[7829])).
% 15.93/10.74 tff(7831,plain,
% 15.93/10.74 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7832,axiom,(![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty1')).
% 15.93/10.74 tff(7833,plain,
% 15.93/10.74 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7832, 7831])).
% 15.93/10.74 tff(7834,plain,(
% 15.93/10.74 ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 15.93/10.74 inference(skolemize,[status(sab)],[7833])).
% 15.93/10.74 tff(7835,plain,
% 15.93/10.74 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7834, 7830])).
% 15.93/10.74 tff(7836,plain,
% 15.93/10.74 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s94)) | (~m_main_v_state1(s94, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s94)) | (~m_main_v_state1(s94, c_c1)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7837,plain,
% 15.93/10.74 (((~m_main_v_state1(s94, c_c1)) | (~always19(s94))) <=> ((~always19(s94)) | (~m_main_v_state1(s94, c_c1)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7838,plain,
% 15.93/10.74 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s94, c_c1)) | (~always19(s94)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s94)) | (~m_main_v_state1(s94, c_c1))))),
% 15.93/10.74 inference(monotonicity,[status(thm)],[7837])).
% 15.93/10.74 tff(7839,plain,
% 15.93/10.74 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s94, c_c1)) | (~always19(s94)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s94)) | (~m_main_v_state1(s94, c_c1)))),
% 15.93/10.74 inference(transitivity,[status(thm)],[7838, 7836])).
% 15.93/10.74 tff(7840,plain,
% 15.93/10.74 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s94, c_c1)) | (~always19(s94)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7841,plain,
% 15.93/10.74 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s94)) | (~m_main_v_state1(s94, c_c1))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 15.93/10.74 tff(7842,plain,
% 15.93/10.74 (~always19(s94)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7841, 7835, 7828])).
% 15.93/10.74 tff(7843,plain,
% 15.93/10.74 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ((~trans(X, Y)) | (~always19(X)) | always19(Y)))),
% 15.93/10.74 inference(bind,[status(th)],[])).
% 15.93/10.74 tff(7844,plain,
% 15.93/10.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 15.93/10.74 inference(quant_intro,[status(thm)],[7843])).
% 15.93/10.74 tff(7845,plain,
% 15.93/10.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7846,plain,
% 15.93/10.74 (^[Y: $i, X: $i] : rewrite(((always19(Y) | (~trans(X, Y))) | (~always19(X))) <=> ((~trans(X, Y)) | (~always19(X)) | always19(Y)))),
% 15.93/10.74 inference(bind,[status(th)],[])).
% 15.93/10.74 tff(7847,plain,
% 15.93/10.74 (![Y: $i, X: $i] : ((always19(Y) | (~trans(X, Y))) | (~always19(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 15.93/10.74 inference(quant_intro,[status(thm)],[7846])).
% 15.93/10.74 tff(7848,axiom,(![Y: $i, X: $i] : ((always19(Y) | (~trans(X, Y))) | (~always19(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty2')).
% 15.93/10.74 tff(7849,plain,
% 15.93/10.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 15.93/10.74 tff(7850,plain,
% 15.93/10.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7849, 7845])).
% 15.93/10.74 tff(7851,plain,(
% 15.93/10.74 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 15.93/10.74 inference(skolemize,[status(sab)],[7850])).
% 15.93/10.74 tff(7852,plain,
% 15.93/10.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7851, 7844])).
% 15.93/10.74 tff(7853,plain,
% 15.93/10.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s93, s94)) | (~always19(s93)) | always19(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s93, s94)) | (~always19(s93)) | always19(s94))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7854,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s93, s94)) | (~always19(s93)) | always19(s94))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7855,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s93, s94)) | (~always19(s93)) | always19(s94)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7854, 7853])).
% 15.93/10.74 tff(7856,plain,
% 15.93/10.74 ((~always19(s93)) | always19(s94)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7855, 7852, 7816])).
% 15.93/10.74 tff(7857,plain,
% 15.93/10.74 (~always19(s93)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7856, 7842])).
% 15.93/10.74 tff(7858,plain,
% 15.93/10.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s92, s93)) | (~always19(s92)) | always19(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s92, s93)) | (~always19(s92)) | always19(s93))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7859,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s92, s93)) | (~always19(s92)) | always19(s93))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7860,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s92, s93)) | (~always19(s92)) | always19(s93)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 15.93/10.74 tff(7861,plain,
% 15.93/10.74 ((~always19(s92)) | always19(s93)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7860, 7852, 7721])).
% 15.93/10.74 tff(7862,plain,
% 15.93/10.74 (~always19(s92)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7861, 7857])).
% 15.93/10.74 tff(7863,plain,
% 15.93/10.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s91, s92)) | (~always19(s91)) | always19(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s91, s92)) | (~always19(s91)) | always19(s92))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7864,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s91, s92)) | (~always19(s91)) | always19(s92))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7865,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s91, s92)) | (~always19(s91)) | always19(s92)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7864, 7863])).
% 15.93/10.74 tff(7866,plain,
% 15.93/10.74 ((~always19(s91)) | always19(s92)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7865, 7852, 7660])).
% 15.93/10.74 tff(7867,plain,
% 15.93/10.74 (~always19(s91)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7866, 7862])).
% 15.93/10.74 tff(7868,assumption,(always19(s464)), introduced(assumption)).
% 15.93/10.74 tff(7869,plain,
% 15.93/10.74 (((~![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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7870,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s93, c_t2) | (~node15(s93)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7871,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s93, c_t2) | (~node15(s93))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7870, 7869])).
% 15.93/10.74 tff(7872,plain,
% 15.93/10.74 (~node15(s93)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7871, 103, 7805])).
% 15.93/10.74 tff(7873,plain,
% 15.93/10.74 (((~![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))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7874,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s93, s94)) | node18(s93, s94))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7875,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s93, s94)) | node18(s93, s94)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7874, 7873])).
% 15.93/10.74 tff(7876,plain,
% 15.93/10.74 (node18(s93, s94)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7875, 125, 7816])).
% 15.93/10.74 tff(7877,plain,
% 15.93/10.74 (((~![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(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))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7878,plain,
% 15.93/10.74 (((~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))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7879,plain,
% 15.93/10.74 (((~![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))) | ((~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)))),
% 15.93/10.74 inference(monotonicity,[status(thm)],[7878])).
% 15.93/10.74 tff(7880,plain,
% 15.93/10.74 (((~![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))) | ((~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))),
% 15.93/10.74 inference(transitivity,[status(thm)],[7879, 7877])).
% 15.93/10.74 tff(7881,plain,
% 15.93/10.74 ((~![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))) | ((~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))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7882,plain,
% 15.93/10.74 ((~![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(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)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7881, 7880])).
% 15.93/10.74 tff(7883,plain,
% 15.93/10.74 (node15(s93) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7882, 992, 7876])).
% 15.93/10.74 tff(7884,plain,
% 15.93/10.74 (m_main_v_turn(s94, c_1)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7883, 7872, 7733, 7801])).
% 15.93/10.74 tff(7885,plain,
% 15.93/10.74 (((~![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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7886,plain,
% 15.93/10.74 ((~![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)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7887,plain,
% 15.93/10.74 ((~![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))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7886, 7885])).
% 15.93/10.74 tff(7888,plain,
% 15.93/10.74 (~m_main_v_turn(s94, c_2)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7887, 156, 7884])).
% 15.93/10.74 tff(7889,plain,
% 15.93/10.74 (((~![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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7890,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s94, c_2) | (~node12(s94)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7891,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s94, c_2) | (~node12(s94))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7890, 7889])).
% 15.93/10.74 tff(7892,plain,
% 15.93/10.74 (~node12(s94)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7891, 184, 7888])).
% 15.93/10.74 tff(7893,plain,
% 15.93/10.74 (((~![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))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7894,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s93, s94)) | node14(s93, s94))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7895,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s93, s94)) | node14(s93, s94)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7894, 7893])).
% 15.93/10.74 tff(7896,plain,
% 15.93/10.74 (node14(s93, s94)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7895, 46, 7816])).
% 15.93/10.74 tff(7897,plain,
% 15.93/10.74 (((~![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(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))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7898,plain,
% 15.93/10.74 ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7899,plain,
% 15.93/10.74 ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 15.93/10.74 tff(7900,plain,
% 15.93/10.74 ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state2(s94, c_t2)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7899, 922, 7896])).
% 15.93/10.74 tff(7901,plain,
% 15.93/10.74 (m_main_v_state2(s94, c_t2)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7900, 7801, 7733])).
% 15.93/10.74 tff(7902,plain,
% 15.93/10.74 (((~![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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7903,plain,
% 15.93/10.74 ((~![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)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7904,plain,
% 15.93/10.74 ((~![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))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7903, 7902])).
% 15.93/10.74 tff(7905,plain,
% 15.93/10.74 (~m_main_v_state2(s94, c_n2)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7904, 77, 7901])).
% 15.93/10.74 tff(7906,plain,
% 15.93/10.74 (((~![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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7907,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s94, c_n2) | (~node8(s94)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7908,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s94, c_n2) | (~node8(s94))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7907, 7906])).
% 15.93/10.74 tff(7909,plain,
% 15.93/10.74 (~node8(s94)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7908, 271, 7905])).
% 15.93/10.74 tff(7910,plain,
% 15.93/10.74 (((~![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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7911,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s94, c_n2) | (~node9(s94)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7912,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s94, c_n2) | (~node9(s94))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7911, 7910])).
% 15.93/10.74 tff(7913,plain,
% 15.93/10.74 (~node9(s94)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7912, 88, 7905])).
% 15.93/10.74 tff(7914,plain,
% 15.93/10.74 (((~![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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7915,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s94, c_n2) | (~node10(s94)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7916,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s94, c_n2) | (~node10(s94))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7915, 7914])).
% 15.93/10.74 tff(7917,plain,
% 15.93/10.74 (~node10(s94)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7916, 249, 7905])).
% 15.93/10.74 tff(7918,plain,
% 15.93/10.74 (((~![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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7919,plain,
% 15.93/10.74 ((~![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)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7920,plain,
% 15.93/10.74 ((~![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))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7919, 7918])).
% 15.93/10.74 tff(7921,plain,
% 15.93/10.74 (~m_main_v_state2(s94, c_c2)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7920, 260, 7901])).
% 15.93/10.74 tff(7922,plain,
% 15.93/10.74 (((~![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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7923,plain,
% 15.93/10.74 ((~![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)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7924,plain,
% 15.93/10.74 ((~![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))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7923, 7922])).
% 15.93/10.74 tff(7925,plain,
% 15.93/10.74 (~m_main_v_state1(s94, c_n1)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7924, 454, 7828])).
% 15.93/10.74 tff(7926,plain,
% 15.93/10.74 (((~![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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7927,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s94, c_n1) | (~node11(s94)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7928,plain,
% 15.93/10.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s94, c_n1) | (~node11(s94))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7927, 7926])).
% 15.93/10.74 tff(7929,plain,
% 15.93/10.74 (~node11(s94)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7928, 238, 7925])).
% 15.93/10.74 tff(7930,plain,
% 15.93/10.74 (succ(s94, s95) <=> succ(s94, s95)),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7931,axiom,(succ(s94, s95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound95')).
% 15.93/10.74 tff(7932,plain,
% 15.93/10.74 (succ(s94, s95)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7931, 7930])).
% 15.93/10.74 tff(7933,plain,
% 15.93/10.74 (((~![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))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7934,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7935,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7934, 7933])).
% 15.93/10.74 tff(7936,plain,
% 15.93/10.74 (trans(s94, s95)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7935, 7932, 32])).
% 15.93/10.74 tff(7937,plain,
% 15.93/10.74 (((~![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))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7938,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s94, s95)) | node14(s94, s95))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7939,plain,
% 15.93/10.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s94, s95)) | node14(s94, s95)),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7938, 7937])).
% 15.93/10.74 tff(7940,plain,
% 15.93/10.74 (node14(s94, s95)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7939, 46, 7936])).
% 15.93/10.74 tff(7941,plain,
% 15.93/10.74 (((~![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(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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7942,plain,
% 15.93/10.74 ((~![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(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))),
% 15.93/10.74 inference(quant_inst,[status(thm)],[])).
% 15.93/10.74 tff(7943,plain,
% 15.93/10.74 ((~![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(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95))),
% 15.93/10.74 inference(modus_ponens,[status(thm)],[7942, 7941])).
% 15.93/10.74 tff(7944,plain,
% 15.93/10.74 (m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7943, 296, 7940])).
% 15.93/10.74 tff(7945,plain,
% 15.93/10.74 (node13(s94, s95)),
% 15.93/10.74 inference(unit_resolution,[status(thm)],[7944, 7929, 7921, 7917, 7913, 7909, 7892])).
% 15.93/10.74 tff(7946,plain,
% 15.93/10.74 (((~![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(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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7947,plain,
% 15.93/10.74 (((~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)))),
% 15.93/10.74 inference(rewrite,[status(thm)],[])).
% 15.93/10.74 tff(7948,plain,
% 15.93/10.74 (((~![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))))),
% 15.93/10.75 inference(monotonicity,[status(thm)],[7947])).
% 15.93/10.75 tff(7949,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(transitivity,[status(thm)],[7948, 7946])).
% 15.93/10.75 tff(7950,plain,
% 15.93/10.75 ((~![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)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7951,plain,
% 15.93/10.75 ((~![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(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 15.93/10.75 tff(7952,plain,
% 15.93/10.75 (~m_main_v_state2(s95, c_n2)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7951, 311, 7905, 7945])).
% 15.93/10.75 tff(7953,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7954,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s95, c_n2) | (~node9(s95)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7955,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s95, c_n2) | (~node9(s95))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7954, 7953])).
% 15.93/10.75 tff(7956,plain,
% 15.93/10.75 (~node9(s95)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7955, 88, 7952])).
% 15.93/10.75 tff(7957,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7958,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s95, c_n2) | (~node10(s95)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7959,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s95, c_n2) | (~node10(s95))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7958, 7957])).
% 15.93/10.75 tff(7960,plain,
% 15.93/10.75 (~node10(s95)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7959, 249, 7952])).
% 15.93/10.75 tff(7961,plain,
% 15.93/10.75 (((~![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(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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7962,plain,
% 15.93/10.75 (((~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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7963,plain,
% 15.93/10.75 (((~![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))))),
% 15.93/10.75 inference(monotonicity,[status(thm)],[7962])).
% 15.93/10.75 tff(7964,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(transitivity,[status(thm)],[7963, 7961])).
% 15.93/10.75 tff(7965,plain,
% 15.93/10.75 ((~![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))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7966,plain,
% 15.93/10.75 ((~![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(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 15.93/10.75 tff(7967,plain,
% 15.93/10.75 (m_main_v_state2(s95, c_t2)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7966, 518, 7901, 7945])).
% 15.93/10.75 tff(7968,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7969,plain,
% 15.93/10.75 ((~![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)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7970,plain,
% 15.93/10.75 ((~![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))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7969, 7968])).
% 15.93/10.75 tff(7971,plain,
% 15.93/10.75 (~m_main_v_state1(s94, c_t1)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7970, 539, 7828])).
% 15.93/10.75 tff(7972,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7973,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s94, c_t1) | (~node5(s94)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7974,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s94, c_t1) | (~node5(s94))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7973, 7972])).
% 15.93/10.75 tff(7975,plain,
% 15.93/10.75 (~node5(s94)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7974, 550, 7971])).
% 15.93/10.75 tff(7976,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7977,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s94, c_n2) | (~node4(s94)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7978,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s94, c_n2) | (~node4(s94))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7977, 7976])).
% 15.93/10.75 tff(7979,plain,
% 15.93/10.75 (~node4(s94)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7978, 388, 7905])).
% 15.93/10.75 tff(7980,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7981,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s94, c_c2) | (~node3(s94)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7982,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s94, c_c2) | (~node3(s94))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7981, 7980])).
% 15.93/10.75 tff(7983,plain,
% 15.93/10.75 (~node3(s94)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7982, 399, 7921])).
% 15.93/10.75 tff(7984,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7985,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s94, c_n2) | (~node2(s94)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7986,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s94, c_n2) | (~node2(s94))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7985, 7984])).
% 15.93/10.75 tff(7987,plain,
% 15.93/10.75 (~node2(s94)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7986, 410, 7905])).
% 15.93/10.75 tff(7988,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7989,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s94, c_n1) | (~node1(s94)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7990,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s94, c_n1) | (~node1(s94))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 15.93/10.75 tff(7991,plain,
% 15.93/10.75 (~node1(s94)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7990, 421, 7925])).
% 15.93/10.75 tff(7992,plain,
% 15.93/10.75 (((~![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))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7993,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s94, s95)) | node7(s94, s95))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(7994,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s94, s95)) | node7(s94, s95)),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[7993, 7992])).
% 15.93/10.75 tff(7995,plain,
% 15.93/10.75 (node7(s94, s95)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[7994, 206, 7936])).
% 15.93/10.75 tff(7996,plain,
% 15.93/10.75 (((~![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(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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7997,plain,
% 15.93/10.75 (((~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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(7998,plain,
% 15.93/10.75 (((~![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(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))))),
% 15.93/10.75 inference(monotonicity,[status(thm)],[7997])).
% 15.93/10.75 tff(7999,plain,
% 15.93/10.75 (((~![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(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)))),
% 15.93/10.75 inference(transitivity,[status(thm)],[7998, 7996])).
% 15.93/10.75 tff(8000,plain,
% 15.93/10.75 ((~![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(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8001,plain,
% 15.93/10.75 ((~![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(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8000, 7999])).
% 15.93/10.75 tff(8002,plain,
% 15.93/10.75 (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8001, 584, 7995])).
% 15.93/10.75 tff(8003,plain,
% 15.93/10.75 (m_main_v_state1(s95, c_n1)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8002, 7991, 7828, 7987, 7983, 7979, 7975])).
% 15.93/10.75 tff(8004,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8005,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s95, c_n2) | (~node8(s95)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8006,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s95, c_n2) | (~node8(s95))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8005, 8004])).
% 15.93/10.75 tff(8007,plain,
% 15.93/10.75 (~node8(s95)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8006, 271, 7952])).
% 15.93/10.75 tff(8008,plain,
% 15.93/10.75 (succ(s95, s96) <=> succ(s95, s96)),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8009,axiom,(succ(s95, s96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound96')).
% 15.93/10.75 tff(8010,plain,
% 15.93/10.75 (succ(s95, s96)),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8009, 8008])).
% 15.93/10.75 tff(8011,plain,
% 15.93/10.75 (((~![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))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8012,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8013,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 15.93/10.75 tff(8014,plain,
% 15.93/10.75 (trans(s95, s96)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8013, 8010, 32])).
% 15.93/10.75 tff(8015,plain,
% 15.93/10.75 (((~![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))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8016,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s95, s96)) | node14(s95, s96))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8017,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s95, s96)) | node14(s95, s96)),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 15.93/10.75 tff(8018,plain,
% 15.93/10.75 (node14(s95, s96)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8017, 46, 8014])).
% 15.93/10.75 tff(8019,plain,
% 15.93/10.75 (((~![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(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))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8020,plain,
% 15.93/10.75 ((~![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(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))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8021,plain,
% 15.93/10.75 ((~![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(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)),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 15.93/10.75 tff(8022,plain,
% 15.93/10.75 ((~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)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8021, 617, 8018])).
% 15.93/10.75 tff(8023,plain,
% 15.93/10.75 (m_main_v_state2(s96, c_c2)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8022, 8007, 8003, 7967, 7960, 7956])).
% 15.93/10.75 tff(8024,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8025,plain,
% 15.93/10.75 ((~![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)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8026,plain,
% 15.93/10.75 ((~![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))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8025, 8024])).
% 15.93/10.75 tff(8027,plain,
% 15.93/10.75 (~m_main_v_state2(s96, c_t2)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8026, 260, 8023])).
% 15.93/10.75 tff(8028,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8029,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s96, c_t2) | (~node12(s96)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8030,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s96, c_t2) | (~node12(s96))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8029, 8028])).
% 15.93/10.75 tff(8031,plain,
% 15.93/10.75 (~node12(s96)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8030, 633, 8027])).
% 15.93/10.75 tff(8032,plain,
% 15.93/10.75 (((~![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))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8033,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s95, s96)) | node7(s95, s96))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8034,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s95, s96)) | node7(s95, s96)),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8033, 8032])).
% 15.93/10.75 tff(8035,plain,
% 15.93/10.75 (node7(s95, s96)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8034, 206, 8014])).
% 15.93/10.75 tff(8036,plain,
% 15.93/10.75 (((~![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(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))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8037,plain,
% 15.93/10.75 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8038,plain,
% 15.93/10.75 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1)),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8037, 8036])).
% 15.93/10.75 tff(8039,plain,
% 15.93/10.75 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_state1(s96, c_t1)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8038, 651, 8035])).
% 15.93/10.75 tff(8040,plain,
% 15.93/10.75 (m_main_v_state1(s96, c_t1)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8039, 7967, 8003])).
% 15.93/10.75 tff(8041,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8042,plain,
% 15.93/10.75 ((~![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)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8043,plain,
% 15.93/10.75 ((~![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))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8042, 8041])).
% 15.93/10.75 tff(8044,plain,
% 15.93/10.75 (~m_main_v_state1(s96, c_n1)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8043, 10, 8040])).
% 15.93/10.75 tff(8045,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8046,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s96, c_n1) | (~node11(s96)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8047,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s96, c_n1) | (~node11(s96))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 15.93/10.75 tff(8048,plain,
% 15.93/10.75 (~node11(s96)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8047, 238, 8044])).
% 15.93/10.75 tff(8049,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8050,plain,
% 15.93/10.75 ((~![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)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8051,plain,
% 15.93/10.75 ((~![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))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8050, 8049])).
% 15.93/10.75 tff(8052,plain,
% 15.93/10.75 (~m_main_v_state1(s96, c_c1)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8051, 539, 8040])).
% 15.93/10.75 tff(8053,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8054,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s96, c_c1) | (~node10(s96)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8055,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s96, c_c1) | (~node10(s96))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8054, 8053])).
% 15.93/10.75 tff(8056,plain,
% 15.93/10.75 (~node10(s96)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8055, 675, 8052])).
% 15.93/10.75 tff(8057,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8058,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s96, c_n1) | (~node9(s96)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8059,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s96, c_n1) | (~node9(s96))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8058, 8057])).
% 15.93/10.75 tff(8060,plain,
% 15.93/10.75 (~node9(s96)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8059, 686, 8044])).
% 15.93/10.75 tff(8061,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8062,plain,
% 15.93/10.75 ((~![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)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8063,plain,
% 15.93/10.75 ((~![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))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 15.93/10.75 tff(8064,plain,
% 15.93/10.75 (~m_main_v_state2(s96, c_n2)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8063, 697, 8023])).
% 15.93/10.75 tff(8065,plain,
% 15.93/10.75 (((~![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)))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8066,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s96, c_n2) | (~node8(s96)))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8067,plain,
% 15.93/10.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s96, c_n2) | (~node8(s96))),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8066, 8065])).
% 15.93/10.75 tff(8068,plain,
% 15.93/10.75 (~node8(s96)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8067, 271, 8064])).
% 15.93/10.75 tff(8069,plain,
% 15.93/10.75 (succ(s96, s97) <=> succ(s96, s97)),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8070,axiom,(succ(s96, s97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound97')).
% 15.93/10.75 tff(8071,plain,
% 15.93/10.75 (succ(s96, s97)),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 15.93/10.75 tff(8072,plain,
% 15.93/10.75 (((~![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))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8073,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8074,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8073, 8072])).
% 15.93/10.75 tff(8075,plain,
% 15.93/10.75 (trans(s96, s97)),
% 15.93/10.75 inference(unit_resolution,[status(thm)],[8074, 8071, 32])).
% 15.93/10.75 tff(8076,plain,
% 15.93/10.75 (((~![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))),
% 15.93/10.75 inference(rewrite,[status(thm)],[])).
% 15.93/10.75 tff(8077,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s96, s97)) | node14(s96, s97))),
% 15.93/10.75 inference(quant_inst,[status(thm)],[])).
% 15.93/10.75 tff(8078,plain,
% 15.93/10.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s96, s97)) | node14(s96, s97)),
% 15.93/10.75 inference(modus_ponens,[status(thm)],[8077, 8076])).
% 15.93/10.76 tff(8079,plain,
% 15.93/10.76 (node14(s96, s97)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8078, 46, 8075])).
% 15.93/10.76 tff(8080,plain,
% 15.93/10.76 (((~![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(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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8081,plain,
% 15.93/10.76 (((~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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8082,plain,
% 15.93/10.76 (((~![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(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))))),
% 15.93/10.76 inference(monotonicity,[status(thm)],[8081])).
% 15.93/10.76 tff(8083,plain,
% 15.93/10.76 (((~![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(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)))),
% 15.93/10.76 inference(transitivity,[status(thm)],[8082, 8080])).
% 15.93/10.76 tff(8084,plain,
% 15.93/10.76 ((~![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(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8085,plain,
% 15.93/10.76 ((~![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(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2))),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8084, 8083])).
% 15.93/10.76 tff(8086,plain,
% 15.93/10.76 (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~m_main_v_state2(s96, c_c2))),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8085, 726, 8079])).
% 15.93/10.76 tff(8087,plain,
% 15.93/10.76 (m_main_v_state2(s97, c_n2)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8086, 8068, 8023, 8060, 8056, 8048, 8031])).
% 15.93/10.76 tff(8088,plain,
% 15.93/10.76 (((~![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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8089,plain,
% 15.93/10.76 ((~![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)))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8090,plain,
% 15.93/10.76 ((~![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))),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8089, 8088])).
% 15.93/10.76 tff(8091,plain,
% 15.93/10.76 (~m_main_v_state2(s97, c_c2)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8090, 697, 8087])).
% 15.93/10.76 tff(8092,plain,
% 15.93/10.76 (((~![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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8093,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s97, c_c2) | (~node3(s97)))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8094,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s97, c_c2) | (~node3(s97))),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8093, 8092])).
% 15.93/10.76 tff(8095,plain,
% 15.93/10.76 (~node3(s97)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8094, 399, 8091])).
% 15.93/10.76 tff(8096,plain,
% 15.93/10.76 (((~![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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8097,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s96, c_n1) | (~node1(s96)))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8098,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s96, c_n1) | (~node1(s96))),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8097, 8096])).
% 15.93/10.76 tff(8099,plain,
% 15.93/10.76 (~node1(s96)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8098, 421, 8044])).
% 15.93/10.76 tff(8100,plain,
% 15.93/10.76 (((~![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))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8101,plain,
% 15.93/10.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s95, s96)) | node18(s95, s96))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8102,plain,
% 15.93/10.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s95, s96)) | node18(s95, s96)),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 15.93/10.76 tff(8103,plain,
% 15.93/10.76 (node18(s95, s96)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8102, 125, 8014])).
% 15.93/10.76 tff(8104,plain,
% 15.93/10.76 (((~![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(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))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8105,plain,
% 15.93/10.76 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8106,plain,
% 15.93/10.76 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2)),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8105, 8104])).
% 15.93/10.76 tff(8107,plain,
% 15.93/10.76 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_turn(s96, c_2)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8106, 760, 8103])).
% 15.93/10.76 tff(8108,plain,
% 15.93/10.76 (m_main_v_turn(s96, c_2)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8107, 7967, 8003])).
% 15.93/10.76 tff(8109,plain,
% 15.93/10.76 (((~![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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8110,plain,
% 15.93/10.76 ((~![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)))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8111,plain,
% 15.93/10.76 ((~![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))),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8110, 8109])).
% 15.93/10.76 tff(8112,plain,
% 15.93/10.76 (~m_main_v_turn(s96, c_1)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8111, 156, 8108])).
% 15.93/10.76 tff(8113,plain,
% 15.93/10.76 (((~![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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8114,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s96, c_1) | (~node5(s96)))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8115,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s96, c_1) | (~node5(s96))),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8114, 8113])).
% 15.93/10.76 tff(8116,plain,
% 15.93/10.76 (~node5(s96)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8115, 776, 8112])).
% 15.93/10.76 tff(8117,plain,
% 15.93/10.76 (((~![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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8118,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s96, c_n1) | (~node2(s96)))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8119,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s96, c_n1) | (~node2(s96))),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8118, 8117])).
% 15.93/10.76 tff(8120,plain,
% 15.93/10.76 (~node2(s96)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8119, 787, 8044])).
% 15.93/10.76 tff(8121,plain,
% 15.93/10.76 (((~![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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8122,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s96, c_n1) | (~node3(s96)))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8123,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s96, c_n1) | (~node3(s96))),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8122, 8121])).
% 15.93/10.76 tff(8124,plain,
% 15.93/10.76 (~node3(s96)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8123, 798, 8044])).
% 15.93/10.76 tff(8125,plain,
% 15.93/10.76 (((~![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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8126,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s96, c_n2) | (~node4(s96)))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8127,plain,
% 15.93/10.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s96, c_n2) | (~node4(s96))),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8126, 8125])).
% 15.93/10.76 tff(8128,plain,
% 15.93/10.76 (~node4(s96)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8127, 388, 8064])).
% 15.93/10.76 tff(8129,plain,
% 15.93/10.76 (((~![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))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8130,plain,
% 15.93/10.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s96, s97)) | node7(s96, s97))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8131,plain,
% 15.93/10.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s96, s97)) | node7(s96, s97)),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8130, 8129])).
% 15.93/10.76 tff(8132,plain,
% 15.93/10.76 (node7(s96, s97)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8131, 206, 8075])).
% 15.93/10.76 tff(8133,plain,
% 15.93/10.76 (((~![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(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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8134,plain,
% 15.93/10.76 ((~![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(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))),
% 15.93/10.76 inference(quant_inst,[status(thm)],[])).
% 15.93/10.76 tff(8135,plain,
% 15.93/10.76 ((~![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(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97))),
% 15.93/10.76 inference(modus_ponens,[status(thm)],[8134, 8133])).
% 15.93/10.76 tff(8136,plain,
% 15.93/10.76 (m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8135, 820, 8132])).
% 15.93/10.76 tff(8137,plain,
% 15.93/10.76 (node6(s96, s97)),
% 15.93/10.76 inference(unit_resolution,[status(thm)],[8136, 8128, 8052, 8124, 8120, 8116, 8099])).
% 15.93/10.76 tff(8138,plain,
% 15.93/10.76 (((~![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(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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8139,plain,
% 15.93/10.76 (((~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)))),
% 15.93/10.76 inference(rewrite,[status(thm)],[])).
% 15.93/10.76 tff(8140,plain,
% 15.93/10.76 (((~![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))))),
% 15.93/10.76 inference(monotonicity,[status(thm)],[8139])).
% 15.93/10.76 tff(8141,plain,
% 15.93/10.76 (((~![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)))),
% 15.96/10.76 inference(transitivity,[status(thm)],[8140, 8138])).
% 15.96/10.76 tff(8142,plain,
% 15.96/10.76 ((~![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)))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8143,plain,
% 15.96/10.76 ((~![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(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8142, 8141])).
% 15.96/10.76 tff(8144,plain,
% 15.96/10.76 (~m_main_v_state1(s97, c_n1)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8143, 835, 8044, 8137])).
% 15.96/10.76 tff(8145,plain,
% 15.96/10.76 (((~![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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8146,plain,
% 15.96/10.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s97, c_n1) | (~node2(s97)))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8147,plain,
% 15.96/10.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s97, c_n1) | (~node2(s97))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 15.96/10.76 tff(8148,plain,
% 15.96/10.76 (~node2(s97)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8147, 787, 8144])).
% 15.96/10.76 tff(8149,plain,
% 15.96/10.76 (((~![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(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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8150,plain,
% 15.96/10.76 (((~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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8151,plain,
% 15.96/10.76 (((~![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))))),
% 15.96/10.76 inference(monotonicity,[status(thm)],[8150])).
% 15.96/10.76 tff(8152,plain,
% 15.96/10.76 (((~![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)))),
% 15.96/10.76 inference(transitivity,[status(thm)],[8151, 8149])).
% 15.96/10.76 tff(8153,plain,
% 15.96/10.76 ((~![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))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8154,plain,
% 15.96/10.76 ((~![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(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 15.96/10.76 tff(8155,plain,
% 15.96/10.76 (m_main_v_state1(s97, c_t1)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8154, 856, 8040, 8137])).
% 15.96/10.76 tff(8156,plain,
% 15.96/10.76 (((~![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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8157,plain,
% 15.96/10.76 ((~![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)))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8158,plain,
% 15.96/10.76 ((~![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))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8157, 8156])).
% 15.96/10.76 tff(8159,plain,
% 15.96/10.76 (~m_main_v_state2(s97, c_t2)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8158, 77, 8087])).
% 15.96/10.76 tff(8160,plain,
% 15.96/10.76 (((~![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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8161,plain,
% 15.96/10.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s97, c_t2) | (~node1(s97)))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8162,plain,
% 15.96/10.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s97, c_t2) | (~node1(s97))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 15.96/10.76 tff(8163,plain,
% 15.96/10.76 (~node1(s97)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8162, 195, 8159])).
% 15.96/10.76 tff(8164,plain,
% 15.96/10.76 (succ(s97, s98) <=> succ(s97, s98)),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8165,axiom,(succ(s97, s98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound98')).
% 15.96/10.76 tff(8166,plain,
% 15.96/10.76 (succ(s97, s98)),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8165, 8164])).
% 15.96/10.76 tff(8167,plain,
% 15.96/10.76 (((~![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))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8168,plain,
% 15.96/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8169,plain,
% 15.96/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8168, 8167])).
% 15.96/10.76 tff(8170,plain,
% 15.96/10.76 (trans(s97, s98)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8169, 8166, 32])).
% 15.96/10.76 tff(8171,plain,
% 15.96/10.76 (((~![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))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8172,plain,
% 15.96/10.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s97, s98)) | node7(s97, s98))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8173,plain,
% 15.96/10.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s97, s98)) | node7(s97, s98)),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8172, 8171])).
% 15.96/10.76 tff(8174,plain,
% 15.96/10.76 (node7(s97, s98)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8173, 206, 8170])).
% 15.96/10.76 tff(8175,plain,
% 15.96/10.76 (((~![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(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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8176,plain,
% 15.96/10.76 (((~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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8177,plain,
% 15.96/10.76 (((~![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(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))))),
% 15.96/10.76 inference(monotonicity,[status(thm)],[8176])).
% 15.96/10.76 tff(8178,plain,
% 15.96/10.76 (((~![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(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)))),
% 15.96/10.76 inference(transitivity,[status(thm)],[8177, 8175])).
% 15.96/10.76 tff(8179,plain,
% 15.96/10.76 ((~![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(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))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8180,plain,
% 15.96/10.76 ((~![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(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))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8179, 8178])).
% 15.96/10.76 tff(8181,plain,
% 15.96/10.76 ((~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)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8180, 892, 8174])).
% 15.96/10.76 tff(8182,plain,
% 15.96/10.76 (m_main_v_state1(s98, c_c1)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8181, 8163, 8087, 8155, 8148, 8095])).
% 15.96/10.76 tff(8183,plain,
% 15.96/10.76 (((~![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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8184,plain,
% 15.96/10.76 ((~![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)))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8185,plain,
% 15.96/10.76 ((~![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))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8184, 8183])).
% 15.96/10.76 tff(8186,plain,
% 15.96/10.76 (~m_main_v_state1(s98, c_t1)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8185, 539, 8182])).
% 15.96/10.76 tff(8187,plain,
% 15.96/10.76 (((~![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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8188,plain,
% 15.96/10.76 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s98, c_t1) | (~node5(s98)))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8189,plain,
% 15.96/10.76 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s98, c_t1) | (~node5(s98))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8188, 8187])).
% 15.96/10.76 tff(8190,plain,
% 15.96/10.76 (~node5(s98)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8189, 550, 8186])).
% 15.96/10.76 tff(8191,plain,
% 15.96/10.76 (((~![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))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8192,plain,
% 15.96/10.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s97, s98)) | node14(s97, s98))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8193,plain,
% 15.96/10.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s97, s98)) | node14(s97, s98)),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8192, 8191])).
% 15.96/10.76 tff(8194,plain,
% 15.96/10.76 (node14(s97, s98)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8193, 46, 8170])).
% 15.96/10.76 tff(8195,plain,
% 15.96/10.76 (((~![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(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))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8196,plain,
% 15.96/10.76 ((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8197,plain,
% 15.96/10.76 ((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2)),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 15.96/10.76 tff(8198,plain,
% 15.96/10.76 ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state2(s98, c_t2)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8197, 922, 8194])).
% 15.96/10.76 tff(8199,plain,
% 15.96/10.76 (m_main_v_state2(s98, c_t2)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8198, 8155, 8087])).
% 15.96/10.76 tff(8200,plain,
% 15.96/10.76 (((~![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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8201,plain,
% 15.96/10.76 ((~![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)))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8202,plain,
% 15.96/10.76 ((~![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))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 15.96/10.76 tff(8203,plain,
% 15.96/10.76 (~m_main_v_state2(s98, c_n2)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8202, 77, 8199])).
% 15.96/10.76 tff(8204,plain,
% 15.96/10.76 (((~![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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8205,plain,
% 15.96/10.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s98, c_n2) | (~node4(s98)))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8206,plain,
% 15.96/10.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s98, c_n2) | (~node4(s98))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 15.96/10.76 tff(8207,plain,
% 15.96/10.76 (~node4(s98)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8206, 388, 8203])).
% 15.96/10.76 tff(8208,plain,
% 15.96/10.76 (((~![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)))),
% 15.96/10.76 inference(rewrite,[status(thm)],[])).
% 15.96/10.76 tff(8209,plain,
% 15.96/10.76 ((~![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)))),
% 15.96/10.76 inference(quant_inst,[status(thm)],[])).
% 15.96/10.76 tff(8210,plain,
% 15.96/10.76 ((~![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))),
% 15.96/10.76 inference(modus_ponens,[status(thm)],[8209, 8208])).
% 15.96/10.76 tff(8211,plain,
% 15.96/10.76 (~m_main_v_state2(s98, c_c2)),
% 15.96/10.76 inference(unit_resolution,[status(thm)],[8210, 260, 8199])).
% 15.96/10.76 tff(8212,plain,
% 15.96/10.76 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8213,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s98, c_c2) | (~node3(s98)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8214,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s98, c_c2) | (~node3(s98))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8213, 8212])).
% 15.96/10.77 tff(8215,plain,
% 15.96/10.77 (~node3(s98)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8214, 399, 8211])).
% 15.96/10.77 tff(8216,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8217,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s98, c_n2) | (~node2(s98)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8218,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s98, c_n2) | (~node2(s98))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8217, 8216])).
% 15.96/10.77 tff(8219,plain,
% 15.96/10.77 (~node2(s98)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8218, 410, 8203])).
% 15.96/10.77 tff(8220,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8221,plain,
% 15.96/10.77 ((~![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)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8222,plain,
% 15.96/10.77 ((~![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))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8221, 8220])).
% 15.96/10.77 tff(8223,plain,
% 15.96/10.77 (~m_main_v_state1(s98, c_n1)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8222, 454, 8182])).
% 15.96/10.77 tff(8224,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8225,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s98, c_n1) | (~node1(s98)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8226,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s98, c_n1) | (~node1(s98))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8225, 8224])).
% 15.96/10.77 tff(8227,plain,
% 15.96/10.77 (~node1(s98)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8226, 421, 8223])).
% 15.96/10.77 tff(8228,plain,
% 15.96/10.77 (succ(s98, s99) <=> succ(s98, s99)),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8229,axiom,(succ(s98, s99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound99')).
% 15.96/10.77 tff(8230,plain,
% 15.96/10.77 (succ(s98, s99)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8229, 8228])).
% 15.96/10.77 tff(8231,plain,
% 15.96/10.77 (((~![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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8232,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8233,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 15.96/10.77 tff(8234,plain,
% 15.96/10.77 (trans(s98, s99)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8233, 8230, 32])).
% 15.96/10.77 tff(8235,plain,
% 15.96/10.77 (((~![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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8236,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s98, s99)) | node7(s98, s99))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8237,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s98, s99)) | node7(s98, s99)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8236, 8235])).
% 15.96/10.77 tff(8238,plain,
% 15.96/10.77 (node7(s98, s99)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8237, 206, 8234])).
% 15.96/10.77 tff(8239,plain,
% 15.96/10.77 (((~![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(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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8240,plain,
% 15.96/10.77 (((~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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8241,plain,
% 15.96/10.77 (((~![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(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))))),
% 15.96/10.77 inference(monotonicity,[status(thm)],[8240])).
% 15.96/10.77 tff(8242,plain,
% 15.96/10.77 (((~![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(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)))),
% 15.96/10.77 inference(transitivity,[status(thm)],[8241, 8239])).
% 15.96/10.77 tff(8243,plain,
% 15.96/10.77 ((~![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(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8244,plain,
% 15.96/10.77 ((~![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(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8243, 8242])).
% 15.96/10.77 tff(8245,plain,
% 15.96/10.77 (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8244, 584, 8238])).
% 15.96/10.77 tff(8246,plain,
% 15.96/10.77 (m_main_v_state1(s99, c_n1)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8245, 8227, 8182, 8219, 8215, 8207, 8190])).
% 15.96/10.77 tff(8247,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8248,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s97, c_t2) | (~node15(s97)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8249,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s97, c_t2) | (~node15(s97))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8248, 8247])).
% 15.96/10.77 tff(8250,plain,
% 15.96/10.77 (~node15(s97)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8249, 103, 8159])).
% 15.96/10.77 tff(8251,plain,
% 15.96/10.77 (((~![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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8252,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s97, s98)) | node18(s97, s98))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8253,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s97, s98)) | node18(s97, s98)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8252, 8251])).
% 15.96/10.77 tff(8254,plain,
% 15.96/10.77 (node18(s97, s98)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8253, 125, 8170])).
% 15.96/10.77 tff(8255,plain,
% 15.96/10.77 (((~![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(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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8256,plain,
% 15.96/10.77 (((~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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8257,plain,
% 15.96/10.77 (((~![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(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)))),
% 15.96/10.77 inference(monotonicity,[status(thm)],[8256])).
% 15.96/10.77 tff(8258,plain,
% 15.96/10.77 (((~![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(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))),
% 15.96/10.77 inference(transitivity,[status(thm)],[8257, 8255])).
% 15.96/10.77 tff(8259,plain,
% 15.96/10.77 ((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node15(s97) | (~node18(s97, s98)) | m_main_v_turn(s98, c_1))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8260,plain,
% 15.96/10.77 ((~![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(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)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8259, 8258])).
% 15.96/10.77 tff(8261,plain,
% 15.96/10.77 (node15(s97) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8260, 992, 8254])).
% 15.96/10.77 tff(8262,plain,
% 15.96/10.77 (m_main_v_turn(s98, c_1)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8261, 8250, 8087, 8155])).
% 15.96/10.77 tff(8263,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8264,plain,
% 15.96/10.77 ((~![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)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8265,plain,
% 15.96/10.77 ((~![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))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8264, 8263])).
% 15.96/10.77 tff(8266,plain,
% 15.96/10.77 (~m_main_v_turn(s98, c_2)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8265, 156, 8262])).
% 15.96/10.77 tff(8267,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8268,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s98, c_2) | (~node12(s98)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8269,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s98, c_2) | (~node12(s98))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8268, 8267])).
% 15.96/10.77 tff(8270,plain,
% 15.96/10.77 (~node12(s98)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8269, 184, 8266])).
% 15.96/10.77 tff(8271,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8272,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s98, c_n2) | (~node8(s98)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8273,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s98, c_n2) | (~node8(s98))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8272, 8271])).
% 15.96/10.77 tff(8274,plain,
% 15.96/10.77 (~node8(s98)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8273, 271, 8203])).
% 15.96/10.77 tff(8275,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8276,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s98, c_n2) | (~node9(s98)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8277,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s98, c_n2) | (~node9(s98))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8276, 8275])).
% 15.96/10.77 tff(8278,plain,
% 15.96/10.77 (~node9(s98)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8277, 88, 8203])).
% 15.96/10.77 tff(8279,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8280,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s98, c_n2) | (~node10(s98)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8281,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s98, c_n2) | (~node10(s98))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8280, 8279])).
% 15.96/10.77 tff(8282,plain,
% 15.96/10.77 (~node10(s98)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8281, 249, 8203])).
% 15.96/10.77 tff(8283,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8284,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s98, c_n1) | (~node11(s98)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8285,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s98, c_n1) | (~node11(s98))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8284, 8283])).
% 15.96/10.77 tff(8286,plain,
% 15.96/10.77 (~node11(s98)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8285, 238, 8223])).
% 15.96/10.77 tff(8287,plain,
% 15.96/10.77 (((~![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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8288,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s98, s99)) | node14(s98, s99))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8289,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s98, s99)) | node14(s98, s99)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8288, 8287])).
% 15.96/10.77 tff(8290,plain,
% 15.96/10.77 (node14(s98, s99)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8289, 46, 8234])).
% 15.96/10.77 tff(8291,plain,
% 15.96/10.77 (((~![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(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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8292,plain,
% 15.96/10.77 ((~![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(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8293,plain,
% 15.96/10.77 ((~![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(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8292, 8291])).
% 15.96/10.77 tff(8294,plain,
% 15.96/10.77 (m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8293, 296, 8290])).
% 15.96/10.77 tff(8295,plain,
% 15.96/10.77 (node13(s98, s99)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8294, 8286, 8211, 8282, 8278, 8274, 8270])).
% 15.96/10.77 tff(8296,plain,
% 15.96/10.77 (((~![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(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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8297,plain,
% 15.96/10.77 (((~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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8298,plain,
% 15.96/10.77 (((~![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))))),
% 15.96/10.77 inference(monotonicity,[status(thm)],[8297])).
% 15.96/10.77 tff(8299,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(transitivity,[status(thm)],[8298, 8296])).
% 15.96/10.77 tff(8300,plain,
% 15.96/10.77 ((~![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))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8301,plain,
% 15.96/10.77 ((~![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(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8300, 8299])).
% 15.96/10.77 tff(8302,plain,
% 15.96/10.77 (m_main_v_state2(s99, c_t2)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8301, 518, 8199, 8295])).
% 15.96/10.77 tff(8303,plain,
% 15.96/10.77 (succ(s99, s100) <=> succ(s99, s100)),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8304,axiom,(succ(s99, s100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound100')).
% 15.96/10.77 tff(8305,plain,
% 15.96/10.77 (succ(s99, s100)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8304, 8303])).
% 15.96/10.77 tff(8306,plain,
% 15.96/10.77 (((~![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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8307,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8308,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 15.96/10.77 tff(8309,plain,
% 15.96/10.77 (trans(s99, s100)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8308, 8305, 32])).
% 15.96/10.77 tff(8310,plain,
% 15.96/10.77 (((~![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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8311,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s99, s100)) | node7(s99, s100))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8312,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s99, s100)) | node7(s99, s100)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 15.96/10.77 tff(8313,plain,
% 15.96/10.77 (node7(s99, s100)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8312, 206, 8309])).
% 15.96/10.77 tff(8314,plain,
% 15.96/10.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8315,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8316,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8315, 8314])).
% 15.96/10.77 tff(8317,plain,
% 15.96/10.77 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | m_main_v_state1(s100, c_t1)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8316, 651, 8313])).
% 15.96/10.77 tff(8318,plain,
% 15.96/10.77 (m_main_v_state1(s100, c_t1)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8317, 8302, 8246])).
% 15.96/10.77 tff(8319,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8320,plain,
% 15.96/10.77 ((~![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)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8321,plain,
% 15.96/10.77 ((~![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))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 15.96/10.77 tff(8322,plain,
% 15.96/10.77 (~m_main_v_state1(s100, c_n1)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8321, 10, 8318])).
% 15.96/10.77 tff(8323,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8324,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s100, c_n1) | (~node1(s100)))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8325,plain,
% 15.96/10.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s100, c_n1) | (~node1(s100))),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 15.96/10.77 tff(8326,plain,
% 15.96/10.77 (~node1(s100)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8325, 421, 8322])).
% 15.96/10.77 tff(8327,plain,
% 15.96/10.77 (((~![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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8328,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s99, s100)) | node18(s99, s100))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8329,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s99, s100)) | node18(s99, s100)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 15.96/10.77 tff(8330,plain,
% 15.96/10.77 (node18(s99, s100)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8329, 125, 8309])).
% 15.96/10.77 tff(8331,plain,
% 15.96/10.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.96/10.77 inference(rewrite,[status(thm)],[])).
% 15.96/10.77 tff(8332,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 15.96/10.77 inference(quant_inst,[status(thm)],[])).
% 15.96/10.77 tff(8333,plain,
% 15.96/10.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 15.96/10.77 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 15.96/10.77 tff(8334,plain,
% 15.96/10.77 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | m_main_v_turn(s100, c_2)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8333, 760, 8330])).
% 15.96/10.77 tff(8335,plain,
% 15.96/10.77 (m_main_v_turn(s100, c_2)),
% 15.96/10.77 inference(unit_resolution,[status(thm)],[8334, 8302, 8246])).
% 15.96/10.77 tff(8336,plain,
% 15.96/10.77 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8337,plain,
% 15.96/10.78 ((~![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)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8338,plain,
% 15.96/10.78 ((~![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))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8337, 8336])).
% 15.96/10.78 tff(8339,plain,
% 15.96/10.78 (~m_main_v_turn(s100, c_1)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8338, 156, 8335])).
% 15.96/10.78 tff(8340,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8341,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s100, c_1) | (~node5(s100)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8342,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s100, c_1) | (~node5(s100))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8341, 8340])).
% 15.96/10.78 tff(8343,plain,
% 15.96/10.78 (~node5(s100)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8342, 776, 8339])).
% 15.96/10.78 tff(8344,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8345,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s100, c_n1) | (~node2(s100)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8346,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s100, c_n1) | (~node2(s100))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8345, 8344])).
% 15.96/10.78 tff(8347,plain,
% 15.96/10.78 (~node2(s100)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8346, 787, 8322])).
% 15.96/10.78 tff(8348,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8349,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s100, c_n1) | (~node3(s100)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8350,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s100, c_n1) | (~node3(s100))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8349, 8348])).
% 15.96/10.78 tff(8351,plain,
% 15.96/10.78 (~node3(s100)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8350, 798, 8322])).
% 15.96/10.78 tff(8352,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8353,plain,
% 15.96/10.78 ((~![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)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8354,plain,
% 15.96/10.78 ((~![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))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 15.96/10.78 tff(8355,plain,
% 15.96/10.78 (~m_main_v_state1(s100, c_c1)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8354, 539, 8318])).
% 15.96/10.78 tff(8356,plain,
% 15.96/10.78 (((~![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(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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8357,plain,
% 15.96/10.78 (((~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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8358,plain,
% 15.96/10.78 (((~![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))))),
% 15.96/10.78 inference(monotonicity,[status(thm)],[8357])).
% 15.96/10.78 tff(8359,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(transitivity,[status(thm)],[8358, 8356])).
% 15.96/10.78 tff(8360,plain,
% 15.96/10.78 ((~![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)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8361,plain,
% 15.96/10.78 ((~![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(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8360, 8359])).
% 15.96/10.78 tff(8362,plain,
% 15.96/10.78 (~m_main_v_state2(s99, c_n2)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8361, 311, 8203, 8295])).
% 15.96/10.78 tff(8363,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8364,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s99, c_n2) | (~node9(s99)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8365,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s99, c_n2) | (~node9(s99))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8364, 8363])).
% 15.96/10.78 tff(8366,plain,
% 15.96/10.78 (~node9(s99)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8365, 88, 8362])).
% 15.96/10.78 tff(8367,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8368,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s99, c_n2) | (~node10(s99)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8369,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s99, c_n2) | (~node10(s99))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8368, 8367])).
% 15.96/10.78 tff(8370,plain,
% 15.96/10.78 (~node10(s99)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8369, 249, 8362])).
% 15.96/10.78 tff(8371,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8372,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s99, c_n2) | (~node8(s99)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8373,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s99, c_n2) | (~node8(s99))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 15.96/10.78 tff(8374,plain,
% 15.96/10.78 (~node8(s99)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8373, 271, 8362])).
% 15.96/10.78 tff(8375,plain,
% 15.96/10.78 (((~![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))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8376,plain,
% 15.96/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s99, s100)) | node14(s99, s100))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8377,plain,
% 15.96/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s99, s100)) | node14(s99, s100)),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8376, 8375])).
% 15.96/10.78 tff(8378,plain,
% 15.96/10.78 (node14(s99, s100)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8377, 46, 8309])).
% 15.96/10.78 tff(8379,plain,
% 15.96/10.78 (((~![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(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))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8380,plain,
% 15.96/10.78 ((~![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(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))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8381,plain,
% 15.96/10.78 ((~![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(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)),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8380, 8379])).
% 15.96/10.78 tff(8382,plain,
% 15.96/10.78 ((~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)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8381, 617, 8378])).
% 15.96/10.78 tff(8383,plain,
% 15.96/10.78 (m_main_v_state2(s100, c_c2)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8382, 8374, 8246, 8302, 8370, 8366])).
% 15.96/10.78 tff(8384,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8385,plain,
% 15.96/10.78 ((~![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)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8386,plain,
% 15.96/10.78 ((~![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))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8385, 8384])).
% 15.96/10.78 tff(8387,plain,
% 15.96/10.78 (~m_main_v_state2(s100, c_n2)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8386, 697, 8383])).
% 15.96/10.78 tff(8388,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8389,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s100, c_n2) | (~node4(s100)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8390,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s100, c_n2) | (~node4(s100))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8389, 8388])).
% 15.96/10.78 tff(8391,plain,
% 15.96/10.78 (~node4(s100)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8390, 388, 8387])).
% 15.96/10.78 tff(8392,plain,
% 15.96/10.78 (succ(s100, s101) <=> succ(s100, s101)),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8393,axiom,(succ(s100, s101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound101')).
% 15.96/10.78 tff(8394,plain,
% 15.96/10.78 (succ(s100, s101)),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8393, 8392])).
% 15.96/10.78 tff(8395,plain,
% 15.96/10.78 (((~![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))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8396,plain,
% 15.96/10.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8397,plain,
% 15.96/10.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101)),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8396, 8395])).
% 15.96/10.78 tff(8398,plain,
% 15.96/10.78 (trans(s100, s101)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8397, 8394, 32])).
% 15.96/10.78 tff(8399,plain,
% 15.96/10.78 (((~![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))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8400,plain,
% 15.96/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s100, s101)) | node7(s100, s101))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8401,plain,
% 15.96/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s100, s101)) | node7(s100, s101)),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 15.96/10.78 tff(8402,plain,
% 15.96/10.78 (node7(s100, s101)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8401, 206, 8398])).
% 15.96/10.78 tff(8403,plain,
% 15.96/10.78 (((~![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(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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8404,plain,
% 15.96/10.78 ((~![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(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8405,plain,
% 15.96/10.78 ((~![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(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8404, 8403])).
% 15.96/10.78 tff(8406,plain,
% 15.96/10.78 (m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8405, 820, 8402])).
% 15.96/10.78 tff(8407,plain,
% 15.96/10.78 (node6(s100, s101)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8406, 8391, 8355, 8351, 8347, 8343, 8326])).
% 15.96/10.78 tff(8408,plain,
% 15.96/10.78 (((~![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(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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8409,plain,
% 15.96/10.78 (((~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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8410,plain,
% 15.96/10.78 (((~![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))))),
% 15.96/10.78 inference(monotonicity,[status(thm)],[8409])).
% 15.96/10.78 tff(8411,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(transitivity,[status(thm)],[8410, 8408])).
% 15.96/10.78 tff(8412,plain,
% 15.96/10.78 ((~![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))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8413,plain,
% 15.96/10.78 ((~![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(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8412, 8411])).
% 15.96/10.78 tff(8414,plain,
% 15.96/10.78 (m_main_v_state1(s101, c_t1)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8413, 856, 8318, 8407])).
% 15.96/10.78 tff(8415,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8416,plain,
% 15.96/10.78 ((~![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)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8417,plain,
% 15.96/10.78 ((~![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))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8416, 8415])).
% 15.96/10.78 tff(8418,plain,
% 15.96/10.78 (~m_main_v_state2(s100, c_t2)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8417, 260, 8383])).
% 15.96/10.78 tff(8419,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8420,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s100, c_t2) | (~node12(s100)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8421,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s100, c_t2) | (~node12(s100))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8420, 8419])).
% 15.96/10.78 tff(8422,plain,
% 15.96/10.78 (~node12(s100)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8421, 633, 8418])).
% 15.96/10.78 tff(8423,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8424,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s100, c_n1) | (~node11(s100)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8425,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s100, c_n1) | (~node11(s100))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8424, 8423])).
% 15.96/10.78 tff(8426,plain,
% 15.96/10.78 (~node11(s100)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8425, 238, 8322])).
% 15.96/10.78 tff(8427,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8428,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s100, c_c1) | (~node10(s100)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8429,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s100, c_c1) | (~node10(s100))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8428, 8427])).
% 15.96/10.78 tff(8430,plain,
% 15.96/10.78 (~node10(s100)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8429, 675, 8355])).
% 15.96/10.78 tff(8431,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8432,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s100, c_n1) | (~node9(s100)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8433,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s100, c_n1) | (~node9(s100))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8432, 8431])).
% 15.96/10.78 tff(8434,plain,
% 15.96/10.78 (~node9(s100)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8433, 686, 8322])).
% 15.96/10.78 tff(8435,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8436,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s100, c_n2) | (~node8(s100)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8437,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s100, c_n2) | (~node8(s100))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8436, 8435])).
% 15.96/10.78 tff(8438,plain,
% 15.96/10.78 (~node8(s100)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8437, 271, 8387])).
% 15.96/10.78 tff(8439,plain,
% 15.96/10.78 (((~![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))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8440,plain,
% 15.96/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s100, s101)) | node14(s100, s101))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8441,plain,
% 15.96/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s100, s101)) | node14(s100, s101)),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8440, 8439])).
% 15.96/10.78 tff(8442,plain,
% 15.96/10.78 (node14(s100, s101)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8441, 46, 8398])).
% 15.96/10.78 tff(8443,plain,
% 15.96/10.78 (((~![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(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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8444,plain,
% 15.96/10.78 (((~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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8445,plain,
% 15.96/10.78 (((~![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(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))))),
% 15.96/10.78 inference(monotonicity,[status(thm)],[8444])).
% 15.96/10.78 tff(8446,plain,
% 15.96/10.78 (((~![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(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)))),
% 15.96/10.78 inference(transitivity,[status(thm)],[8445, 8443])).
% 15.96/10.78 tff(8447,plain,
% 15.96/10.78 ((~![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(s100, c_c2)) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | m_main_v_state2(s101, c_n2))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8448,plain,
% 15.96/10.78 ((~![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(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8447, 8446])).
% 15.96/10.78 tff(8449,plain,
% 15.96/10.78 (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~m_main_v_state2(s100, c_c2))),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8448, 726, 8442])).
% 15.96/10.78 tff(8450,plain,
% 15.96/10.78 (m_main_v_state2(s101, c_n2)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8449, 8438, 8383, 8434, 8430, 8426, 8422])).
% 15.96/10.78 tff(8451,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8452,plain,
% 15.96/10.78 ((~![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)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8453,plain,
% 15.96/10.78 ((~![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))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8452, 8451])).
% 15.96/10.78 tff(8454,plain,
% 15.96/10.78 (~m_main_v_state2(s101, c_t2)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8453, 77, 8450])).
% 15.96/10.78 tff(8455,plain,
% 15.96/10.78 (((~![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)))),
% 15.96/10.78 inference(rewrite,[status(thm)],[])).
% 15.96/10.78 tff(8456,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s101, c_t2) | (~node15(s101)))),
% 15.96/10.78 inference(quant_inst,[status(thm)],[])).
% 15.96/10.78 tff(8457,plain,
% 15.96/10.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s101, c_t2) | (~node15(s101))),
% 15.96/10.78 inference(modus_ponens,[status(thm)],[8456, 8455])).
% 15.96/10.78 tff(8458,plain,
% 15.96/10.78 (~node15(s101)),
% 15.96/10.78 inference(unit_resolution,[status(thm)],[8457, 103, 8454])).
% 15.96/10.78 tff(8459,plain,
% 15.96/10.79 (succ(s101, s102) <=> succ(s101, s102)),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8460,axiom,(succ(s101, s102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound102')).
% 15.96/10.79 tff(8461,plain,
% 15.96/10.79 (succ(s101, s102)),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8460, 8459])).
% 15.96/10.79 tff(8462,plain,
% 15.96/10.79 (((~![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))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8463,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8464,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102)),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8463, 8462])).
% 15.96/10.79 tff(8465,plain,
% 15.96/10.79 (trans(s101, s102)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8464, 8461, 32])).
% 15.96/10.79 tff(8466,plain,
% 15.96/10.79 (((~![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))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8467,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s101, s102)) | node18(s101, s102))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8468,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s101, s102)) | node18(s101, s102)),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8467, 8466])).
% 15.96/10.79 tff(8469,plain,
% 15.96/10.79 (node18(s101, s102)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8468, 125, 8465])).
% 15.96/10.79 tff(8470,plain,
% 15.96/10.79 (((~![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(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))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8471,plain,
% 15.96/10.79 (((~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))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8472,plain,
% 15.96/10.79 (((~![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(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)))),
% 15.96/10.79 inference(monotonicity,[status(thm)],[8471])).
% 15.96/10.79 tff(8473,plain,
% 15.96/10.79 (((~![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(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))),
% 15.96/10.79 inference(transitivity,[status(thm)],[8472, 8470])).
% 15.96/10.79 tff(8474,plain,
% 15.96/10.79 ((~![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(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8475,plain,
% 15.96/10.79 ((~![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(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)),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8474, 8473])).
% 15.96/10.79 tff(8476,plain,
% 15.96/10.79 (node15(s101) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8475, 992, 8469])).
% 15.96/10.79 tff(8477,plain,
% 15.96/10.79 (m_main_v_turn(s102, c_1)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8476, 8458, 8450, 8414])).
% 15.96/10.79 tff(8478,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8479,plain,
% 15.96/10.79 ((~![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)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8480,plain,
% 15.96/10.79 ((~![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))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 15.96/10.79 tff(8481,plain,
% 15.96/10.79 (~m_main_v_turn(s102, c_2)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8480, 156, 8477])).
% 15.96/10.79 tff(8482,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8483,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s102, c_2) | (~node12(s102)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8484,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s102, c_2) | (~node12(s102))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8483, 8482])).
% 15.96/10.79 tff(8485,plain,
% 15.96/10.79 (~node12(s102)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8484, 184, 8481])).
% 15.96/10.79 tff(8486,plain,
% 15.96/10.79 (((~![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))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8487,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s101, s102)) | node14(s101, s102))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8488,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s101, s102)) | node14(s101, s102)),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 15.96/10.79 tff(8489,plain,
% 15.96/10.79 (node14(s101, s102)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8488, 46, 8465])).
% 15.96/10.79 tff(8490,plain,
% 15.96/10.79 (((~![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(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))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8491,plain,
% 15.96/10.79 ((~![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(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8492,plain,
% 15.96/10.79 ((~![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(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2)),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8491, 8490])).
% 15.96/10.79 tff(8493,plain,
% 15.96/10.79 ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state2(s102, c_t2)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8492, 922, 8489])).
% 15.96/10.79 tff(8494,plain,
% 15.96/10.79 (m_main_v_state2(s102, c_t2)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8493, 8414, 8450])).
% 15.96/10.79 tff(8495,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8496,plain,
% 15.96/10.79 ((~![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)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8497,plain,
% 15.96/10.79 ((~![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))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8496, 8495])).
% 15.96/10.79 tff(8498,plain,
% 15.96/10.79 (~m_main_v_state2(s102, c_n2)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8497, 77, 8494])).
% 15.96/10.79 tff(8499,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8500,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s102, c_n2) | (~node8(s102)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8501,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s102, c_n2) | (~node8(s102))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8500, 8499])).
% 15.96/10.79 tff(8502,plain,
% 15.96/10.79 (~node8(s102)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8501, 271, 8498])).
% 15.96/10.79 tff(8503,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8504,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s102, c_n2) | (~node9(s102)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8505,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s102, c_n2) | (~node9(s102))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 15.96/10.79 tff(8506,plain,
% 15.96/10.79 (~node9(s102)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8505, 88, 8498])).
% 15.96/10.79 tff(8507,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8508,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s102, c_n2) | (~node10(s102)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8509,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s102, c_n2) | (~node10(s102))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8508, 8507])).
% 15.96/10.79 tff(8510,plain,
% 15.96/10.79 (~node10(s102)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8509, 249, 8498])).
% 15.96/10.79 tff(8511,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8512,plain,
% 15.96/10.79 ((~![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)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8513,plain,
% 15.96/10.79 ((~![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))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8512, 8511])).
% 15.96/10.79 tff(8514,plain,
% 15.96/10.79 (~m_main_v_state2(s102, c_c2)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8513, 260, 8494])).
% 15.96/10.79 tff(8515,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8516,plain,
% 15.96/10.79 ((~![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)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8517,plain,
% 15.96/10.79 ((~![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))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8516, 8515])).
% 15.96/10.79 tff(8518,plain,
% 15.96/10.79 (~m_main_v_state2(s101, c_c2)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8517, 697, 8450])).
% 15.96/10.79 tff(8519,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8520,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s101, c_c2) | (~node3(s101)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8521,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s101, c_c2) | (~node3(s101))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8520, 8519])).
% 15.96/10.79 tff(8522,plain,
% 15.96/10.79 (~node3(s101)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8521, 399, 8518])).
% 15.96/10.79 tff(8523,plain,
% 15.96/10.79 (((~![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(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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8524,plain,
% 15.96/10.79 (((~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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8525,plain,
% 15.96/10.79 (((~![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))))),
% 15.96/10.79 inference(monotonicity,[status(thm)],[8524])).
% 15.96/10.79 tff(8526,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(transitivity,[status(thm)],[8525, 8523])).
% 15.96/10.79 tff(8527,plain,
% 15.96/10.79 ((~![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)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8528,plain,
% 15.96/10.79 ((~![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(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8527, 8526])).
% 15.96/10.79 tff(8529,plain,
% 15.96/10.79 (~m_main_v_state1(s101, c_n1)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8528, 835, 8322, 8407])).
% 15.96/10.79 tff(8530,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8531,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s101, c_n1) | (~node2(s101)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8532,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s101, c_n1) | (~node2(s101))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8531, 8530])).
% 15.96/10.79 tff(8533,plain,
% 15.96/10.79 (~node2(s101)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8532, 787, 8529])).
% 15.96/10.79 tff(8534,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8535,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s101, c_t2) | (~node1(s101)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8536,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s101, c_t2) | (~node1(s101))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8535, 8534])).
% 15.96/10.79 tff(8537,plain,
% 15.96/10.79 (~node1(s101)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8536, 195, 8454])).
% 15.96/10.79 tff(8538,plain,
% 15.96/10.79 (((~![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))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8539,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s101, s102)) | node7(s101, s102))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8540,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s101, s102)) | node7(s101, s102)),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8539, 8538])).
% 15.96/10.79 tff(8541,plain,
% 15.96/10.79 (node7(s101, s102)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8540, 206, 8465])).
% 15.96/10.79 tff(8542,plain,
% 15.96/10.79 (((~![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(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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8543,plain,
% 15.96/10.79 (((~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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8544,plain,
% 15.96/10.79 (((~![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(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))))),
% 15.96/10.79 inference(monotonicity,[status(thm)],[8543])).
% 15.96/10.79 tff(8545,plain,
% 15.96/10.79 (((~![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(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)))),
% 15.96/10.79 inference(transitivity,[status(thm)],[8544, 8542])).
% 15.96/10.79 tff(8546,plain,
% 15.96/10.79 ((~![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(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))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8547,plain,
% 15.96/10.79 ((~![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(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))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 15.96/10.79 tff(8548,plain,
% 15.96/10.79 ((~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)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8547, 892, 8541])).
% 15.96/10.79 tff(8549,plain,
% 15.96/10.79 (m_main_v_state1(s102, c_c1)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8548, 8537, 8450, 8414, 8533, 8522])).
% 15.96/10.79 tff(8550,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8551,plain,
% 15.96/10.79 ((~![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)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8552,plain,
% 15.96/10.79 ((~![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))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8551, 8550])).
% 15.96/10.79 tff(8553,plain,
% 15.96/10.79 (~m_main_v_state1(s102, c_n1)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8552, 454, 8549])).
% 15.96/10.79 tff(8554,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8555,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s102, c_n1) | (~node11(s102)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8556,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s102, c_n1) | (~node11(s102))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8555, 8554])).
% 15.96/10.79 tff(8557,plain,
% 15.96/10.79 (~node11(s102)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8556, 238, 8553])).
% 15.96/10.79 tff(8558,plain,
% 15.96/10.79 (succ(s102, s103) <=> succ(s102, s103)),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8559,axiom,(succ(s102, s103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound103')).
% 15.96/10.79 tff(8560,plain,
% 15.96/10.79 (succ(s102, s103)),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8559, 8558])).
% 15.96/10.79 tff(8561,plain,
% 15.96/10.79 (((~![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))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8562,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8563,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103)),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8562, 8561])).
% 15.96/10.79 tff(8564,plain,
% 15.96/10.79 (trans(s102, s103)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8563, 8560, 32])).
% 15.96/10.79 tff(8565,plain,
% 15.96/10.79 (((~![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))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8566,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s102, s103)) | node14(s102, s103))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8567,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s102, s103)) | node14(s102, s103)),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8566, 8565])).
% 15.96/10.79 tff(8568,plain,
% 15.96/10.79 (node14(s102, s103)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8567, 46, 8564])).
% 15.96/10.79 tff(8569,plain,
% 15.96/10.79 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8570,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8571,plain,
% 15.96/10.79 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 15.96/10.79 tff(8572,plain,
% 15.96/10.79 (m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8571, 296, 8568])).
% 15.96/10.79 tff(8573,plain,
% 15.96/10.79 (node13(s102, s103)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8572, 8557, 8514, 8510, 8506, 8502, 8485])).
% 15.96/10.79 tff(8574,plain,
% 15.96/10.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8575,plain,
% 15.96/10.79 (((~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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8576,plain,
% 15.96/10.79 (((~![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))))),
% 15.96/10.79 inference(monotonicity,[status(thm)],[8575])).
% 15.96/10.79 tff(8577,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(transitivity,[status(thm)],[8576, 8574])).
% 15.96/10.79 tff(8578,plain,
% 15.96/10.79 ((~![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)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8579,plain,
% 15.96/10.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 15.96/10.79 tff(8580,plain,
% 15.96/10.79 (~m_main_v_state2(s103, c_n2)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8579, 311, 8498, 8573])).
% 15.96/10.79 tff(8581,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8582,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s103, c_n2) | (~node9(s103)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8583,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s103, c_n2) | (~node9(s103))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8582, 8581])).
% 15.96/10.79 tff(8584,plain,
% 15.96/10.79 (~node9(s103)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8583, 88, 8580])).
% 15.96/10.79 tff(8585,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8586,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s103, c_n2) | (~node10(s103)))),
% 15.96/10.79 inference(quant_inst,[status(thm)],[])).
% 15.96/10.79 tff(8587,plain,
% 15.96/10.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s103, c_n2) | (~node10(s103))),
% 15.96/10.79 inference(modus_ponens,[status(thm)],[8586, 8585])).
% 15.96/10.79 tff(8588,plain,
% 15.96/10.79 (~node10(s103)),
% 15.96/10.79 inference(unit_resolution,[status(thm)],[8587, 249, 8580])).
% 15.96/10.79 tff(8589,plain,
% 15.96/10.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8590,plain,
% 15.96/10.79 (((~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)))),
% 15.96/10.79 inference(rewrite,[status(thm)],[])).
% 15.96/10.79 tff(8591,plain,
% 15.96/10.79 (((~![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))))),
% 15.96/10.79 inference(monotonicity,[status(thm)],[8590])).
% 15.96/10.79 tff(8592,plain,
% 15.96/10.79 (((~![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)))),
% 15.96/10.80 inference(transitivity,[status(thm)],[8591, 8589])).
% 15.96/10.80 tff(8593,plain,
% 15.96/10.80 ((~![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))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8594,plain,
% 15.96/10.80 ((~![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(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8593, 8592])).
% 15.96/10.80 tff(8595,plain,
% 15.96/10.80 (m_main_v_state2(s103, c_t2)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8594, 518, 8494, 8573])).
% 15.96/10.80 tff(8596,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8597,plain,
% 15.96/10.80 ((~![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)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8598,plain,
% 15.96/10.80 ((~![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))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8597, 8596])).
% 15.96/10.80 tff(8599,plain,
% 15.96/10.80 (~m_main_v_state1(s102, c_t1)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8598, 539, 8549])).
% 15.96/10.80 tff(8600,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8601,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s102, c_t1) | (~node5(s102)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8602,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s102, c_t1) | (~node5(s102))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8601, 8600])).
% 15.96/10.80 tff(8603,plain,
% 15.96/10.80 (~node5(s102)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8602, 550, 8599])).
% 15.96/10.80 tff(8604,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8605,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s102, c_n2) | (~node4(s102)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8606,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s102, c_n2) | (~node4(s102))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8605, 8604])).
% 15.96/10.80 tff(8607,plain,
% 15.96/10.80 (~node4(s102)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8606, 388, 8498])).
% 15.96/10.80 tff(8608,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8609,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s102, c_c2) | (~node3(s102)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8610,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s102, c_c2) | (~node3(s102))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8609, 8608])).
% 15.96/10.80 tff(8611,plain,
% 15.96/10.80 (~node3(s102)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8610, 399, 8514])).
% 15.96/10.80 tff(8612,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8613,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s102, c_n2) | (~node2(s102)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8614,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s102, c_n2) | (~node2(s102))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8613, 8612])).
% 15.96/10.80 tff(8615,plain,
% 15.96/10.80 (~node2(s102)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8614, 410, 8498])).
% 15.96/10.80 tff(8616,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8617,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s102, c_n1) | (~node1(s102)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8618,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s102, c_n1) | (~node1(s102))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8617, 8616])).
% 15.96/10.80 tff(8619,plain,
% 15.96/10.80 (~node1(s102)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8618, 421, 8553])).
% 15.96/10.80 tff(8620,plain,
% 15.96/10.80 (((~![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))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8621,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s102, s103)) | node7(s102, s103))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8622,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s102, s103)) | node7(s102, s103)),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8621, 8620])).
% 15.96/10.80 tff(8623,plain,
% 15.96/10.80 (node7(s102, s103)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8622, 206, 8564])).
% 15.96/10.80 tff(8624,plain,
% 15.96/10.80 (((~![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(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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8625,plain,
% 15.96/10.80 (((~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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8626,plain,
% 15.96/10.80 (((~![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(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))))),
% 15.96/10.80 inference(monotonicity,[status(thm)],[8625])).
% 15.96/10.80 tff(8627,plain,
% 15.96/10.80 (((~![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(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)))),
% 15.96/10.80 inference(transitivity,[status(thm)],[8626, 8624])).
% 15.96/10.80 tff(8628,plain,
% 15.96/10.80 ((~![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(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)) | m_main_v_state1(s103, c_n1))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8629,plain,
% 15.96/10.80 ((~![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(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8628, 8627])).
% 15.96/10.80 tff(8630,plain,
% 15.96/10.80 (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8629, 584, 8623])).
% 15.96/10.80 tff(8631,plain,
% 15.96/10.80 (m_main_v_state1(s103, c_n1)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8630, 8619, 8549, 8615, 8611, 8607, 8603])).
% 15.96/10.80 tff(8632,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8633,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s103, c_n2) | (~node8(s103)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8634,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s103, c_n2) | (~node8(s103))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8633, 8632])).
% 15.96/10.80 tff(8635,plain,
% 15.96/10.80 (~node8(s103)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8634, 271, 8580])).
% 15.96/10.80 tff(8636,plain,
% 15.96/10.80 (succ(s103, s104) <=> succ(s103, s104)),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8637,axiom,(succ(s103, s104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound104')).
% 15.96/10.80 tff(8638,plain,
% 15.96/10.80 (succ(s103, s104)),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8637, 8636])).
% 15.96/10.80 tff(8639,plain,
% 15.96/10.80 (((~![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))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8640,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8641,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104)),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8640, 8639])).
% 15.96/10.80 tff(8642,plain,
% 15.96/10.80 (trans(s103, s104)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8641, 8638, 32])).
% 15.96/10.80 tff(8643,plain,
% 15.96/10.80 (((~![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))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8644,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s103, s104)) | node14(s103, s104))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8645,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s103, s104)) | node14(s103, s104)),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8644, 8643])).
% 15.96/10.80 tff(8646,plain,
% 15.96/10.80 (node14(s103, s104)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8645, 46, 8642])).
% 15.96/10.80 tff(8647,plain,
% 15.96/10.80 (((~![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(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))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8648,plain,
% 15.96/10.80 ((~![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(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))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8649,plain,
% 15.96/10.80 ((~![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(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)),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8648, 8647])).
% 15.96/10.80 tff(8650,plain,
% 15.96/10.80 ((~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)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8649, 617, 8646])).
% 15.96/10.80 tff(8651,plain,
% 15.96/10.80 (m_main_v_state2(s104, c_c2)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8650, 8635, 8631, 8595, 8588, 8584])).
% 15.96/10.80 tff(8652,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8653,plain,
% 15.96/10.80 ((~![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)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8654,plain,
% 15.96/10.80 ((~![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))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8653, 8652])).
% 15.96/10.80 tff(8655,plain,
% 15.96/10.80 (~m_main_v_state2(s104, c_t2)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8654, 260, 8651])).
% 15.96/10.80 tff(8656,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8657,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s104, c_t2) | (~node12(s104)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8658,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s104, c_t2) | (~node12(s104))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8657, 8656])).
% 15.96/10.80 tff(8659,plain,
% 15.96/10.80 (~node12(s104)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8658, 633, 8655])).
% 15.96/10.80 tff(8660,plain,
% 15.96/10.80 (((~![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))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8661,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s103, s104)) | node7(s103, s104))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8662,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s103, s104)) | node7(s103, s104)),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8661, 8660])).
% 15.96/10.80 tff(8663,plain,
% 15.96/10.80 (node7(s103, s104)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8662, 206, 8642])).
% 15.96/10.80 tff(8664,plain,
% 15.96/10.80 (((~![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(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))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8665,plain,
% 15.96/10.80 ((~![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(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8666,plain,
% 15.96/10.80 ((~![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(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1)),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8665, 8664])).
% 15.96/10.80 tff(8667,plain,
% 15.96/10.80 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | m_main_v_state1(s104, c_t1)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8666, 651, 8663])).
% 15.96/10.80 tff(8668,plain,
% 15.96/10.80 (m_main_v_state1(s104, c_t1)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8667, 8595, 8631])).
% 15.96/10.80 tff(8669,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8670,plain,
% 15.96/10.80 ((~![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)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8671,plain,
% 15.96/10.80 ((~![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))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 15.96/10.80 tff(8672,plain,
% 15.96/10.80 (~m_main_v_state1(s104, c_n1)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8671, 10, 8668])).
% 15.96/10.80 tff(8673,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8674,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s104, c_n1) | (~node11(s104)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8675,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s104, c_n1) | (~node11(s104))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 15.96/10.80 tff(8676,plain,
% 15.96/10.80 (~node11(s104)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8675, 238, 8672])).
% 15.96/10.80 tff(8677,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8678,plain,
% 15.96/10.80 ((~![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)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8679,plain,
% 15.96/10.80 ((~![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))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8678, 8677])).
% 15.96/10.80 tff(8680,plain,
% 15.96/10.80 (~m_main_v_state1(s104, c_c1)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8679, 539, 8668])).
% 15.96/10.80 tff(8681,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8682,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s104, c_c1) | (~node10(s104)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8683,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s104, c_c1) | (~node10(s104))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8682, 8681])).
% 15.96/10.80 tff(8684,plain,
% 15.96/10.80 (~node10(s104)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8683, 675, 8680])).
% 15.96/10.80 tff(8685,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8686,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s104, c_n1) | (~node9(s104)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8687,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s104, c_n1) | (~node9(s104))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8686, 8685])).
% 15.96/10.80 tff(8688,plain,
% 15.96/10.80 (~node9(s104)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8687, 686, 8672])).
% 15.96/10.80 tff(8689,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8690,plain,
% 15.96/10.80 ((~![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)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8691,plain,
% 15.96/10.80 ((~![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))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8690, 8689])).
% 15.96/10.80 tff(8692,plain,
% 15.96/10.80 (~m_main_v_state2(s104, c_n2)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8691, 697, 8651])).
% 15.96/10.80 tff(8693,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8694,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s104, c_n2) | (~node8(s104)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8695,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s104, c_n2) | (~node8(s104))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 15.96/10.80 tff(8696,plain,
% 15.96/10.80 (~node8(s104)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8695, 271, 8692])).
% 15.96/10.80 tff(8697,plain,
% 15.96/10.80 (succ(s104, s105) <=> succ(s104, s105)),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8698,axiom,(succ(s104, s105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound105')).
% 15.96/10.80 tff(8699,plain,
% 15.96/10.80 (succ(s104, s105)),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8698, 8697])).
% 15.96/10.80 tff(8700,plain,
% 15.96/10.80 (((~![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))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8701,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8702,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105)),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8701, 8700])).
% 15.96/10.80 tff(8703,plain,
% 15.96/10.80 (trans(s104, s105)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8702, 8699, 32])).
% 15.96/10.80 tff(8704,plain,
% 15.96/10.80 (((~![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))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8705,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s104, s105)) | node14(s104, s105))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8706,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s104, s105)) | node14(s104, s105)),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8705, 8704])).
% 15.96/10.80 tff(8707,plain,
% 15.96/10.80 (node14(s104, s105)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8706, 46, 8703])).
% 15.96/10.80 tff(8708,plain,
% 15.96/10.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8709,plain,
% 15.96/10.80 (((~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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8710,plain,
% 15.96/10.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 15.96/10.80 inference(monotonicity,[status(thm)],[8709])).
% 15.96/10.80 tff(8711,plain,
% 15.96/10.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 15.96/10.80 inference(transitivity,[status(thm)],[8710, 8708])).
% 15.96/10.80 tff(8712,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s104, c_c2)) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | m_main_v_state2(s105, c_n2))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8713,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8712, 8711])).
% 15.96/10.80 tff(8714,plain,
% 15.96/10.80 (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~m_main_v_state2(s104, c_c2))),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8713, 726, 8707])).
% 15.96/10.80 tff(8715,plain,
% 15.96/10.80 (m_main_v_state2(s105, c_n2)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8714, 8696, 8651, 8688, 8684, 8676, 8659])).
% 15.96/10.80 tff(8716,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8717,plain,
% 15.96/10.80 ((~![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)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8718,plain,
% 15.96/10.80 ((~![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))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8717, 8716])).
% 15.96/10.80 tff(8719,plain,
% 15.96/10.80 (~m_main_v_state2(s105, c_c2)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8718, 697, 8715])).
% 15.96/10.80 tff(8720,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8721,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s105, c_c2) | (~node3(s105)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8722,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s105, c_c2) | (~node3(s105))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8721, 8720])).
% 15.96/10.80 tff(8723,plain,
% 15.96/10.80 (~node3(s105)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8722, 399, 8719])).
% 15.96/10.80 tff(8724,plain,
% 15.96/10.80 (((~![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)))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8725,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s104, c_n1) | (~node1(s104)))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8726,plain,
% 15.96/10.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s104, c_n1) | (~node1(s104))),
% 15.96/10.80 inference(modus_ponens,[status(thm)],[8725, 8724])).
% 15.96/10.80 tff(8727,plain,
% 15.96/10.80 (~node1(s104)),
% 15.96/10.80 inference(unit_resolution,[status(thm)],[8726, 421, 8672])).
% 15.96/10.80 tff(8728,plain,
% 15.96/10.80 (((~![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))),
% 15.96/10.80 inference(rewrite,[status(thm)],[])).
% 15.96/10.80 tff(8729,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s103, s104)) | node18(s103, s104))),
% 15.96/10.80 inference(quant_inst,[status(thm)],[])).
% 15.96/10.80 tff(8730,plain,
% 15.96/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s103, s104)) | node18(s103, s104)),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8729, 8728])).
% 15.96/10.81 tff(8731,plain,
% 15.96/10.81 (node18(s103, s104)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8730, 125, 8642])).
% 15.96/10.81 tff(8732,plain,
% 15.96/10.81 (((~![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(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))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8733,plain,
% 15.96/10.81 ((~![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(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8734,plain,
% 15.96/10.81 ((~![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(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2)),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8733, 8732])).
% 15.96/10.81 tff(8735,plain,
% 15.96/10.81 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | m_main_v_turn(s104, c_2)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8734, 760, 8731])).
% 15.96/10.81 tff(8736,plain,
% 15.96/10.81 (m_main_v_turn(s104, c_2)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8735, 8595, 8631])).
% 15.96/10.81 tff(8737,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8738,plain,
% 15.96/10.81 ((~![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)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8739,plain,
% 15.96/10.81 ((~![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))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8738, 8737])).
% 15.96/10.81 tff(8740,plain,
% 15.96/10.81 (~m_main_v_turn(s104, c_1)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8739, 156, 8736])).
% 15.96/10.81 tff(8741,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8742,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s104, c_1) | (~node5(s104)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8743,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s104, c_1) | (~node5(s104))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8742, 8741])).
% 15.96/10.81 tff(8744,plain,
% 15.96/10.81 (~node5(s104)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8743, 776, 8740])).
% 15.96/10.81 tff(8745,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8746,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s104, c_n1) | (~node2(s104)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8747,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s104, c_n1) | (~node2(s104))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8746, 8745])).
% 15.96/10.81 tff(8748,plain,
% 15.96/10.81 (~node2(s104)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8747, 787, 8672])).
% 15.96/10.81 tff(8749,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8750,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s104, c_n1) | (~node3(s104)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8751,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s104, c_n1) | (~node3(s104))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8750, 8749])).
% 15.96/10.81 tff(8752,plain,
% 15.96/10.81 (~node3(s104)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8751, 798, 8672])).
% 15.96/10.81 tff(8753,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8754,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s104, c_n2) | (~node4(s104)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8755,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s104, c_n2) | (~node4(s104))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8754, 8753])).
% 15.96/10.81 tff(8756,plain,
% 15.96/10.81 (~node4(s104)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8755, 388, 8692])).
% 15.96/10.81 tff(8757,plain,
% 15.96/10.81 (((~![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))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8758,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s104, s105)) | node7(s104, s105))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8759,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s104, s105)) | node7(s104, s105)),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8758, 8757])).
% 15.96/10.81 tff(8760,plain,
% 15.96/10.81 (node7(s104, s105)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8759, 206, 8703])).
% 15.96/10.81 tff(8761,plain,
% 15.96/10.81 (((~![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(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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8762,plain,
% 15.96/10.81 ((~![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(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8763,plain,
% 15.96/10.81 ((~![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(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8762, 8761])).
% 15.96/10.81 tff(8764,plain,
% 15.96/10.81 (m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8763, 820, 8760])).
% 15.96/10.81 tff(8765,plain,
% 15.96/10.81 (node6(s104, s105)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8764, 8756, 8680, 8752, 8748, 8744, 8727])).
% 15.96/10.81 tff(8766,plain,
% 15.96/10.81 (((~![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(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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8767,plain,
% 15.96/10.81 (((~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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8768,plain,
% 15.96/10.81 (((~![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))))),
% 15.96/10.81 inference(monotonicity,[status(thm)],[8767])).
% 15.96/10.81 tff(8769,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(transitivity,[status(thm)],[8768, 8766])).
% 15.96/10.81 tff(8770,plain,
% 15.96/10.81 ((~![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)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8771,plain,
% 15.96/10.81 ((~![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(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8770, 8769])).
% 15.96/10.81 tff(8772,plain,
% 15.96/10.81 (~m_main_v_state1(s105, c_n1)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8771, 835, 8672, 8765])).
% 15.96/10.81 tff(8773,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8774,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s105, c_n1) | (~node2(s105)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8775,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s105, c_n1) | (~node2(s105))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8774, 8773])).
% 15.96/10.81 tff(8776,plain,
% 15.96/10.81 (~node2(s105)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8775, 787, 8772])).
% 15.96/10.81 tff(8777,plain,
% 15.96/10.81 (((~![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(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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8778,plain,
% 15.96/10.81 (((~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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8779,plain,
% 15.96/10.81 (((~![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))))),
% 15.96/10.81 inference(monotonicity,[status(thm)],[8778])).
% 15.96/10.81 tff(8780,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(transitivity,[status(thm)],[8779, 8777])).
% 15.96/10.81 tff(8781,plain,
% 15.96/10.81 ((~![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))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8782,plain,
% 15.96/10.81 ((~![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(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8781, 8780])).
% 15.96/10.81 tff(8783,plain,
% 15.96/10.81 (m_main_v_state1(s105, c_t1)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8782, 856, 8668, 8765])).
% 15.96/10.81 tff(8784,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8785,plain,
% 15.96/10.81 ((~![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)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8786,plain,
% 15.96/10.81 ((~![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))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8785, 8784])).
% 15.96/10.81 tff(8787,plain,
% 15.96/10.81 (~m_main_v_state2(s105, c_t2)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8786, 77, 8715])).
% 15.96/10.81 tff(8788,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8789,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s105, c_t2) | (~node1(s105)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8790,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s105, c_t2) | (~node1(s105))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8789, 8788])).
% 15.96/10.81 tff(8791,plain,
% 15.96/10.81 (~node1(s105)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8790, 195, 8787])).
% 15.96/10.81 tff(8792,plain,
% 15.96/10.81 (succ(s105, s106) <=> succ(s105, s106)),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8793,axiom,(succ(s105, s106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound106')).
% 15.96/10.81 tff(8794,plain,
% 15.96/10.81 (succ(s105, s106)),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8793, 8792])).
% 15.96/10.81 tff(8795,plain,
% 15.96/10.81 (((~![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))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8796,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8797,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106)),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8796, 8795])).
% 15.96/10.81 tff(8798,plain,
% 15.96/10.81 (trans(s105, s106)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8797, 8794, 32])).
% 15.96/10.81 tff(8799,plain,
% 15.96/10.81 (((~![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))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8800,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s105, s106)) | node7(s105, s106))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8801,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s105, s106)) | node7(s105, s106)),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 15.96/10.81 tff(8802,plain,
% 15.96/10.81 (node7(s105, s106)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8801, 206, 8798])).
% 15.96/10.81 tff(8803,plain,
% 15.96/10.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8804,plain,
% 15.96/10.81 (((~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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8805,plain,
% 15.96/10.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 15.96/10.81 inference(monotonicity,[status(thm)],[8804])).
% 15.96/10.81 tff(8806,plain,
% 15.96/10.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 15.96/10.81 inference(transitivity,[status(thm)],[8805, 8803])).
% 15.96/10.81 tff(8807,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8808,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8807, 8806])).
% 15.96/10.81 tff(8809,plain,
% 15.96/10.81 ((~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)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8808, 892, 8802])).
% 15.96/10.81 tff(8810,plain,
% 15.96/10.81 (m_main_v_state1(s106, c_c1)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8809, 8791, 8715, 8783, 8776, 8723])).
% 15.96/10.81 tff(8811,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8812,plain,
% 15.96/10.81 ((~![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)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8813,plain,
% 15.96/10.81 ((~![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))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8812, 8811])).
% 15.96/10.81 tff(8814,plain,
% 15.96/10.81 (~m_main_v_state1(s106, c_t1)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8813, 539, 8810])).
% 15.96/10.81 tff(8815,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8816,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s106, c_t1) | (~node5(s106)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8817,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s106, c_t1) | (~node5(s106))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8816, 8815])).
% 15.96/10.81 tff(8818,plain,
% 15.96/10.81 (~node5(s106)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8817, 550, 8814])).
% 15.96/10.81 tff(8819,plain,
% 15.96/10.81 (((~![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))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8820,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s105, s106)) | node14(s105, s106))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8821,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s105, s106)) | node14(s105, s106)),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8820, 8819])).
% 15.96/10.81 tff(8822,plain,
% 15.96/10.81 (node14(s105, s106)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8821, 46, 8798])).
% 15.96/10.81 tff(8823,plain,
% 15.96/10.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8824,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8825,plain,
% 15.96/10.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2)),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8824, 8823])).
% 15.96/10.81 tff(8826,plain,
% 15.96/10.81 ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state2(s106, c_t2)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8825, 922, 8822])).
% 15.96/10.81 tff(8827,plain,
% 15.96/10.81 (m_main_v_state2(s106, c_t2)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8826, 8783, 8715])).
% 15.96/10.81 tff(8828,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8829,plain,
% 15.96/10.81 ((~![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)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8830,plain,
% 15.96/10.81 ((~![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))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8829, 8828])).
% 15.96/10.81 tff(8831,plain,
% 15.96/10.81 (~m_main_v_state2(s106, c_n2)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8830, 77, 8827])).
% 15.96/10.81 tff(8832,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8833,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s106, c_n2) | (~node4(s106)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8834,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s106, c_n2) | (~node4(s106))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8833, 8832])).
% 15.96/10.81 tff(8835,plain,
% 15.96/10.81 (~node4(s106)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8834, 388, 8831])).
% 15.96/10.81 tff(8836,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8837,plain,
% 15.96/10.81 ((~![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)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8838,plain,
% 15.96/10.81 ((~![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))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8837, 8836])).
% 15.96/10.81 tff(8839,plain,
% 15.96/10.81 (~m_main_v_state2(s106, c_c2)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8838, 260, 8827])).
% 15.96/10.81 tff(8840,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8841,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s106, c_c2) | (~node3(s106)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8842,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s106, c_c2) | (~node3(s106))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8841, 8840])).
% 15.96/10.81 tff(8843,plain,
% 15.96/10.81 (~node3(s106)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8842, 399, 8839])).
% 15.96/10.81 tff(8844,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8845,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s106, c_n2) | (~node2(s106)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8846,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s106, c_n2) | (~node2(s106))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8845, 8844])).
% 15.96/10.81 tff(8847,plain,
% 15.96/10.81 (~node2(s106)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8846, 410, 8831])).
% 15.96/10.81 tff(8848,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8849,plain,
% 15.96/10.81 ((~![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)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8850,plain,
% 15.96/10.81 ((~![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))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8849, 8848])).
% 15.96/10.81 tff(8851,plain,
% 15.96/10.81 (~m_main_v_state1(s106, c_n1)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8850, 454, 8810])).
% 15.96/10.81 tff(8852,plain,
% 15.96/10.81 (((~![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)))),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8853,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s106, c_n1) | (~node1(s106)))),
% 15.96/10.81 inference(quant_inst,[status(thm)],[])).
% 15.96/10.81 tff(8854,plain,
% 15.96/10.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s106, c_n1) | (~node1(s106))),
% 15.96/10.81 inference(modus_ponens,[status(thm)],[8853, 8852])).
% 15.96/10.81 tff(8855,plain,
% 15.96/10.81 (~node1(s106)),
% 15.96/10.81 inference(unit_resolution,[status(thm)],[8854, 421, 8851])).
% 15.96/10.81 tff(8856,plain,
% 15.96/10.81 (succ(s106, s107) <=> succ(s106, s107)),
% 15.96/10.81 inference(rewrite,[status(thm)],[])).
% 15.96/10.81 tff(8857,axiom,(succ(s106, s107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound107')).
% 15.96/10.82 tff(8858,plain,
% 15.96/10.82 (succ(s106, s107)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8857, 8856])).
% 15.96/10.82 tff(8859,plain,
% 15.96/10.82 (((~![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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8860,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8861,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8860, 8859])).
% 15.96/10.82 tff(8862,plain,
% 15.96/10.82 (trans(s106, s107)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8861, 8858, 32])).
% 15.96/10.82 tff(8863,plain,
% 15.96/10.82 (((~![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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8864,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s106, s107)) | node7(s106, s107))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8865,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s106, s107)) | node7(s106, s107)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8864, 8863])).
% 15.96/10.82 tff(8866,plain,
% 15.96/10.82 (node7(s106, s107)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8865, 206, 8862])).
% 15.96/10.82 tff(8867,plain,
% 15.96/10.82 (((~![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(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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8868,plain,
% 15.96/10.82 (((~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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8869,plain,
% 15.96/10.82 (((~![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(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))))),
% 15.96/10.82 inference(monotonicity,[status(thm)],[8868])).
% 15.96/10.82 tff(8870,plain,
% 15.96/10.82 (((~![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(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)))),
% 15.96/10.82 inference(transitivity,[status(thm)],[8869, 8867])).
% 15.96/10.82 tff(8871,plain,
% 15.96/10.82 ((~![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(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)) | m_main_v_state1(s107, c_n1))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8872,plain,
% 15.96/10.82 ((~![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(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8871, 8870])).
% 15.96/10.82 tff(8873,plain,
% 15.96/10.82 (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8872, 584, 8866])).
% 15.96/10.82 tff(8874,plain,
% 15.96/10.82 (m_main_v_state1(s107, c_n1)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8873, 8855, 8810, 8847, 8843, 8835, 8818])).
% 15.96/10.82 tff(8875,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8876,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s105, c_t2) | (~node15(s105)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8877,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s105, c_t2) | (~node15(s105))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8876, 8875])).
% 15.96/10.82 tff(8878,plain,
% 15.96/10.82 (~node15(s105)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8877, 103, 8787])).
% 15.96/10.82 tff(8879,plain,
% 15.96/10.82 (((~![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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8880,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s105, s106)) | node18(s105, s106))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8881,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s105, s106)) | node18(s105, s106)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8880, 8879])).
% 15.96/10.82 tff(8882,plain,
% 15.96/10.82 (node18(s105, s106)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8881, 125, 8798])).
% 15.96/10.82 tff(8883,plain,
% 15.96/10.82 (((~![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(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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8884,plain,
% 15.96/10.82 (((~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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8885,plain,
% 15.96/10.82 (((~![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(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)))),
% 15.96/10.82 inference(monotonicity,[status(thm)],[8884])).
% 15.96/10.82 tff(8886,plain,
% 15.96/10.82 (((~![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(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))),
% 15.96/10.82 inference(transitivity,[status(thm)],[8885, 8883])).
% 15.96/10.82 tff(8887,plain,
% 15.96/10.82 ((~![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(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node15(s105) | (~node18(s105, s106)) | m_main_v_turn(s106, c_1))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8888,plain,
% 15.96/10.82 ((~![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(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)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8887, 8886])).
% 15.96/10.82 tff(8889,plain,
% 15.96/10.82 (node15(s105) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8888, 992, 8882])).
% 15.96/10.82 tff(8890,plain,
% 15.96/10.82 (m_main_v_turn(s106, c_1)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8889, 8878, 8715, 8783])).
% 15.96/10.82 tff(8891,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8892,plain,
% 15.96/10.82 ((~![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)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8893,plain,
% 15.96/10.82 ((~![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))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 15.96/10.82 tff(8894,plain,
% 15.96/10.82 (~m_main_v_turn(s106, c_2)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8893, 156, 8890])).
% 15.96/10.82 tff(8895,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8896,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s106, c_2) | (~node12(s106)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8897,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s106, c_2) | (~node12(s106))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8896, 8895])).
% 15.96/10.82 tff(8898,plain,
% 15.96/10.82 (~node12(s106)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8897, 184, 8894])).
% 15.96/10.82 tff(8899,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8900,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s106, c_n2) | (~node8(s106)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8901,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s106, c_n2) | (~node8(s106))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8900, 8899])).
% 15.96/10.82 tff(8902,plain,
% 15.96/10.82 (~node8(s106)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8901, 271, 8831])).
% 15.96/10.82 tff(8903,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8904,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s106, c_n2) | (~node9(s106)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8905,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s106, c_n2) | (~node9(s106))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8904, 8903])).
% 15.96/10.82 tff(8906,plain,
% 15.96/10.82 (~node9(s106)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8905, 88, 8831])).
% 15.96/10.82 tff(8907,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8908,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s106, c_n2) | (~node10(s106)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8909,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s106, c_n2) | (~node10(s106))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8908, 8907])).
% 15.96/10.82 tff(8910,plain,
% 15.96/10.82 (~node10(s106)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8909, 249, 8831])).
% 15.96/10.82 tff(8911,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8912,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s106, c_n1) | (~node11(s106)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8913,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s106, c_n1) | (~node11(s106))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8912, 8911])).
% 15.96/10.82 tff(8914,plain,
% 15.96/10.82 (~node11(s106)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8913, 238, 8851])).
% 15.96/10.82 tff(8915,plain,
% 15.96/10.82 (((~![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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8916,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s106, s107)) | node14(s106, s107))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8917,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s106, s107)) | node14(s106, s107)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8916, 8915])).
% 15.96/10.82 tff(8918,plain,
% 15.96/10.82 (node14(s106, s107)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8917, 46, 8862])).
% 15.96/10.82 tff(8919,plain,
% 15.96/10.82 (((~![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(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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8920,plain,
% 15.96/10.82 ((~![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(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8921,plain,
% 15.96/10.82 ((~![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(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 15.96/10.82 tff(8922,plain,
% 15.96/10.82 (m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8921, 296, 8918])).
% 15.96/10.82 tff(8923,plain,
% 15.96/10.82 (node13(s106, s107)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8922, 8914, 8839, 8910, 8906, 8902, 8898])).
% 15.96/10.82 tff(8924,plain,
% 15.96/10.82 (((~![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(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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8925,plain,
% 15.96/10.82 (((~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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8926,plain,
% 15.96/10.82 (((~![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))))),
% 15.96/10.82 inference(monotonicity,[status(thm)],[8925])).
% 15.96/10.82 tff(8927,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(transitivity,[status(thm)],[8926, 8924])).
% 15.96/10.82 tff(8928,plain,
% 15.96/10.82 ((~![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))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8929,plain,
% 15.96/10.82 ((~![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(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8928, 8927])).
% 15.96/10.82 tff(8930,plain,
% 15.96/10.82 (m_main_v_state2(s107, c_t2)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8929, 518, 8827, 8923])).
% 15.96/10.82 tff(8931,plain,
% 15.96/10.82 (succ(s107, s108) <=> succ(s107, s108)),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8932,axiom,(succ(s107, s108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound108')).
% 15.96/10.82 tff(8933,plain,
% 15.96/10.82 (succ(s107, s108)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8932, 8931])).
% 15.96/10.82 tff(8934,plain,
% 15.96/10.82 (((~![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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8935,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8936,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8935, 8934])).
% 15.96/10.82 tff(8937,plain,
% 15.96/10.82 (trans(s107, s108)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8936, 8933, 32])).
% 15.96/10.82 tff(8938,plain,
% 15.96/10.82 (((~![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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8939,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s107, s108)) | node7(s107, s108))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8940,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s107, s108)) | node7(s107, s108)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8939, 8938])).
% 15.96/10.82 tff(8941,plain,
% 15.96/10.82 (node7(s107, s108)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8940, 206, 8937])).
% 15.96/10.82 tff(8942,plain,
% 15.96/10.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8943,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8944,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8943, 8942])).
% 15.96/10.82 tff(8945,plain,
% 15.96/10.82 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | m_main_v_state1(s108, c_t1)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8944, 651, 8941])).
% 15.96/10.82 tff(8946,plain,
% 15.96/10.82 (m_main_v_state1(s108, c_t1)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8945, 8930, 8874])).
% 15.96/10.82 tff(8947,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8948,plain,
% 15.96/10.82 ((~![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)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8949,plain,
% 15.96/10.82 ((~![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))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8948, 8947])).
% 15.96/10.82 tff(8950,plain,
% 15.96/10.82 (~m_main_v_state1(s108, c_n1)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8949, 10, 8946])).
% 15.96/10.82 tff(8951,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8952,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s108, c_n1) | (~node1(s108)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8953,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s108, c_n1) | (~node1(s108))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 15.96/10.82 tff(8954,plain,
% 15.96/10.82 (~node1(s108)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8953, 421, 8950])).
% 15.96/10.82 tff(8955,plain,
% 15.96/10.82 (((~![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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8956,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s107, s108)) | node18(s107, s108))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8957,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s107, s108)) | node18(s107, s108)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8956, 8955])).
% 15.96/10.82 tff(8958,plain,
% 15.96/10.82 (node18(s107, s108)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8957, 125, 8937])).
% 15.96/10.82 tff(8959,plain,
% 15.96/10.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8960,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8961,plain,
% 15.96/10.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2)),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 15.96/10.82 tff(8962,plain,
% 15.96/10.82 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | m_main_v_turn(s108, c_2)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8961, 760, 8958])).
% 15.96/10.82 tff(8963,plain,
% 15.96/10.82 (m_main_v_turn(s108, c_2)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8962, 8930, 8874])).
% 15.96/10.82 tff(8964,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8965,plain,
% 15.96/10.82 ((~![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)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8966,plain,
% 15.96/10.82 ((~![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))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8965, 8964])).
% 15.96/10.82 tff(8967,plain,
% 15.96/10.82 (~m_main_v_turn(s108, c_1)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8966, 156, 8963])).
% 15.96/10.82 tff(8968,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8969,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s108, c_1) | (~node5(s108)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8970,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s108, c_1) | (~node5(s108))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8969, 8968])).
% 15.96/10.82 tff(8971,plain,
% 15.96/10.82 (~node5(s108)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8970, 776, 8967])).
% 15.96/10.82 tff(8972,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8973,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s108, c_n1) | (~node2(s108)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8974,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s108, c_n1) | (~node2(s108))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8973, 8972])).
% 15.96/10.82 tff(8975,plain,
% 15.96/10.82 (~node2(s108)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8974, 787, 8950])).
% 15.96/10.82 tff(8976,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8977,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s108, c_n1) | (~node3(s108)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8978,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s108, c_n1) | (~node3(s108))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8977, 8976])).
% 15.96/10.82 tff(8979,plain,
% 15.96/10.82 (~node3(s108)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8978, 798, 8950])).
% 15.96/10.82 tff(8980,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8981,plain,
% 15.96/10.82 ((~![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)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8982,plain,
% 15.96/10.82 ((~![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))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8981, 8980])).
% 15.96/10.82 tff(8983,plain,
% 15.96/10.82 (~m_main_v_state1(s108, c_c1)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8982, 539, 8946])).
% 15.96/10.82 tff(8984,plain,
% 15.96/10.82 (((~![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(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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8985,plain,
% 15.96/10.82 (((~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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8986,plain,
% 15.96/10.82 (((~![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))))),
% 15.96/10.82 inference(monotonicity,[status(thm)],[8985])).
% 15.96/10.82 tff(8987,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(transitivity,[status(thm)],[8986, 8984])).
% 15.96/10.82 tff(8988,plain,
% 15.96/10.82 ((~![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)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8989,plain,
% 15.96/10.82 ((~![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(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107))),
% 15.96/10.82 inference(modus_ponens,[status(thm)],[8988, 8987])).
% 15.96/10.82 tff(8990,plain,
% 15.96/10.82 (~m_main_v_state2(s107, c_n2)),
% 15.96/10.82 inference(unit_resolution,[status(thm)],[8989, 311, 8831, 8923])).
% 15.96/10.82 tff(8991,plain,
% 15.96/10.82 (((~![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)))),
% 15.96/10.82 inference(rewrite,[status(thm)],[])).
% 15.96/10.82 tff(8992,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s107, c_n2) | (~node9(s107)))),
% 15.96/10.82 inference(quant_inst,[status(thm)],[])).
% 15.96/10.82 tff(8993,plain,
% 15.96/10.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s107, c_n2) | (~node9(s107))),
% 15.96/10.83 inference(modus_ponens,[status(thm)],[8992, 8991])).
% 15.96/10.83 tff(8994,plain,
% 15.96/10.83 (~node9(s107)),
% 15.96/10.83 inference(unit_resolution,[status(thm)],[8993, 88, 8990])).
% 15.96/10.83 tff(8995,plain,
% 15.96/10.83 (((~![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)))),
% 15.96/10.83 inference(rewrite,[status(thm)],[])).
% 15.96/10.83 tff(8996,plain,
% 15.96/10.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s107, c_n2) | (~node10(s107)))),
% 15.96/10.83 inference(quant_inst,[status(thm)],[])).
% 15.96/10.83 tff(8997,plain,
% 15.96/10.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s107, c_n2) | (~node10(s107))),
% 15.96/10.83 inference(modus_ponens,[status(thm)],[8996, 8995])).
% 15.96/10.83 tff(8998,plain,
% 15.96/10.83 (~node10(s107)),
% 15.96/10.83 inference(unit_resolution,[status(thm)],[8997, 249, 8990])).
% 15.96/10.83 tff(8999,plain,
% 15.96/10.83 (((~![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)))),
% 15.96/10.83 inference(rewrite,[status(thm)],[])).
% 15.96/10.83 tff(9000,plain,
% 15.96/10.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s107, c_n2) | (~node8(s107)))),
% 15.96/10.83 inference(quant_inst,[status(thm)],[])).
% 15.96/10.83 tff(9001,plain,
% 15.96/10.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s107, c_n2) | (~node8(s107))),
% 15.96/10.83 inference(modus_ponens,[status(thm)],[9000, 8999])).
% 15.96/10.83 tff(9002,plain,
% 15.96/10.83 (~node8(s107)),
% 15.96/10.83 inference(unit_resolution,[status(thm)],[9001, 271, 8990])).
% 15.96/10.83 tff(9003,plain,
% 15.96/10.83 (((~![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))),
% 15.96/10.83 inference(rewrite,[status(thm)],[])).
% 15.96/10.83 tff(9004,plain,
% 15.96/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s107, s108)) | node14(s107, s108))),
% 15.96/10.83 inference(quant_inst,[status(thm)],[])).
% 15.96/10.83 tff(9005,plain,
% 15.96/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s107, s108)) | node14(s107, s108)),
% 15.96/10.83 inference(modus_ponens,[status(thm)],[9004, 9003])).
% 15.96/10.83 tff(9006,plain,
% 15.96/10.83 (node14(s107, s108)),
% 15.96/10.83 inference(unit_resolution,[status(thm)],[9005, 46, 8937])).
% 15.96/10.83 tff(9007,plain,
% 15.96/10.83 (((~![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(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))),
% 15.96/10.83 inference(rewrite,[status(thm)],[])).
% 15.96/10.83 tff(9008,plain,
% 15.96/10.83 ((~![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(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))),
% 15.96/10.83 inference(quant_inst,[status(thm)],[])).
% 15.96/10.83 tff(9009,plain,
% 15.96/10.83 ((~![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(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)),
% 15.96/10.83 inference(modus_ponens,[status(thm)],[9008, 9007])).
% 15.96/10.83 tff(9010,plain,
% 15.96/10.83 ((~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)),
% 15.96/10.83 inference(unit_resolution,[status(thm)],[9009, 617, 9006])).
% 15.96/10.83 tff(9011,plain,
% 15.96/10.83 (m_main_v_state2(s108, c_c2)),
% 15.96/10.83 inference(unit_resolution,[status(thm)],[9010, 9002, 8874, 8930, 8998, 8994])).
% 15.96/10.83 tff(9012,plain,
% 15.96/10.83 (((~![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)))),
% 15.96/10.83 inference(rewrite,[status(thm)],[])).
% 15.96/10.83 tff(9013,plain,
% 15.96/10.83 ((~![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)))),
% 15.96/10.83 inference(quant_inst,[status(thm)],[])).
% 15.96/10.83 tff(9014,plain,
% 15.96/10.83 ((~![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))),
% 15.96/10.83 inference(modus_ponens,[status(thm)],[9013, 9012])).
% 15.96/10.83 tff(9015,plain,
% 15.96/10.83 (~m_main_v_state2(s108, c_n2)),
% 15.96/10.83 inference(unit_resolution,[status(thm)],[9014, 697, 9011])).
% 16.03/10.83 tff(9016,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9017,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s108, c_n2) | (~node4(s108)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9018,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s108, c_n2) | (~node4(s108))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9017, 9016])).
% 16.03/10.83 tff(9019,plain,
% 16.03/10.83 (~node4(s108)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9018, 388, 9015])).
% 16.03/10.83 tff(9020,plain,
% 16.03/10.83 (succ(s108, s109) <=> succ(s108, s109)),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9021,axiom,(succ(s108, s109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound109')).
% 16.03/10.83 tff(9022,plain,
% 16.03/10.83 (succ(s108, s109)),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9021, 9020])).
% 16.03/10.83 tff(9023,plain,
% 16.03/10.83 (((~![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))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9024,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9025,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109)),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 16.03/10.83 tff(9026,plain,
% 16.03/10.83 (trans(s108, s109)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9025, 9022, 32])).
% 16.03/10.83 tff(9027,plain,
% 16.03/10.83 (((~![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))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9028,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s108, s109)) | node7(s108, s109))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9029,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s108, s109)) | node7(s108, s109)),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9028, 9027])).
% 16.03/10.83 tff(9030,plain,
% 16.03/10.83 (node7(s108, s109)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9029, 206, 9026])).
% 16.03/10.83 tff(9031,plain,
% 16.03/10.83 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9032,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9033,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9032, 9031])).
% 16.03/10.83 tff(9034,plain,
% 16.03/10.83 (m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9033, 820, 9030])).
% 16.03/10.83 tff(9035,plain,
% 16.03/10.83 (node6(s108, s109)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9034, 9019, 8983, 8979, 8975, 8971, 8954])).
% 16.03/10.83 tff(9036,plain,
% 16.03/10.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9037,plain,
% 16.03/10.83 (((~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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9038,plain,
% 16.03/10.83 (((~![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))))),
% 16.03/10.83 inference(monotonicity,[status(thm)],[9037])).
% 16.03/10.83 tff(9039,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(transitivity,[status(thm)],[9038, 9036])).
% 16.03/10.83 tff(9040,plain,
% 16.03/10.83 ((~![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))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9041,plain,
% 16.03/10.83 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9040, 9039])).
% 16.03/10.83 tff(9042,plain,
% 16.03/10.83 (m_main_v_state1(s109, c_t1)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9041, 856, 8946, 9035])).
% 16.03/10.83 tff(9043,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9044,plain,
% 16.03/10.83 ((~![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)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9045,plain,
% 16.03/10.83 ((~![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))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9044, 9043])).
% 16.03/10.83 tff(9046,plain,
% 16.03/10.83 (~m_main_v_state2(s108, c_t2)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9045, 260, 9011])).
% 16.03/10.83 tff(9047,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9048,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s108, c_t2) | (~node12(s108)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9049,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s108, c_t2) | (~node12(s108))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9048, 9047])).
% 16.03/10.83 tff(9050,plain,
% 16.03/10.83 (~node12(s108)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9049, 633, 9046])).
% 16.03/10.83 tff(9051,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9052,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s108, c_n1) | (~node11(s108)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9053,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s108, c_n1) | (~node11(s108))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9052, 9051])).
% 16.03/10.83 tff(9054,plain,
% 16.03/10.83 (~node11(s108)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9053, 238, 8950])).
% 16.03/10.83 tff(9055,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9056,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s108, c_c1) | (~node10(s108)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9057,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s108, c_c1) | (~node10(s108))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 16.03/10.83 tff(9058,plain,
% 16.03/10.83 (~node10(s108)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9057, 675, 8983])).
% 16.03/10.83 tff(9059,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9060,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s108, c_n1) | (~node9(s108)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9061,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s108, c_n1) | (~node9(s108))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 16.03/10.83 tff(9062,plain,
% 16.03/10.83 (~node9(s108)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9061, 686, 8950])).
% 16.03/10.83 tff(9063,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9064,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s108, c_n2) | (~node8(s108)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9065,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s108, c_n2) | (~node8(s108))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9064, 9063])).
% 16.03/10.83 tff(9066,plain,
% 16.03/10.83 (~node8(s108)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9065, 271, 9015])).
% 16.03/10.83 tff(9067,plain,
% 16.03/10.83 (((~![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))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9068,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s108, s109)) | node14(s108, s109))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9069,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s108, s109)) | node14(s108, s109)),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9068, 9067])).
% 16.03/10.83 tff(9070,plain,
% 16.03/10.83 (node14(s108, s109)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9069, 46, 9026])).
% 16.03/10.83 tff(9071,plain,
% 16.03/10.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9072,plain,
% 16.03/10.83 (((~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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9073,plain,
% 16.03/10.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.03/10.83 inference(monotonicity,[status(thm)],[9072])).
% 16.03/10.83 tff(9074,plain,
% 16.03/10.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.03/10.83 inference(transitivity,[status(thm)],[9073, 9071])).
% 16.03/10.83 tff(9075,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s108, c_c2)) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | m_main_v_state2(s109, c_n2))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9076,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9075, 9074])).
% 16.03/10.83 tff(9077,plain,
% 16.03/10.83 (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~m_main_v_state2(s108, c_c2))),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9076, 726, 9070])).
% 16.03/10.83 tff(9078,plain,
% 16.03/10.83 (m_main_v_state2(s109, c_n2)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9077, 9066, 9011, 9062, 9058, 9054, 9050])).
% 16.03/10.83 tff(9079,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9080,plain,
% 16.03/10.83 ((~![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)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9081,plain,
% 16.03/10.83 ((~![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))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9080, 9079])).
% 16.03/10.83 tff(9082,plain,
% 16.03/10.83 (~m_main_v_state2(s109, c_t2)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9081, 77, 9078])).
% 16.03/10.83 tff(9083,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9084,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s109, c_t2) | (~node15(s109)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9085,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s109, c_t2) | (~node15(s109))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9084, 9083])).
% 16.03/10.83 tff(9086,plain,
% 16.03/10.83 (~node15(s109)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9085, 103, 9082])).
% 16.03/10.83 tff(9087,plain,
% 16.03/10.83 (succ(s109, s110) <=> succ(s109, s110)),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9088,axiom,(succ(s109, s110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound110')).
% 16.03/10.83 tff(9089,plain,
% 16.03/10.83 (succ(s109, s110)),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9088, 9087])).
% 16.03/10.83 tff(9090,plain,
% 16.03/10.83 (((~![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))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9091,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9092,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110)),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 16.03/10.83 tff(9093,plain,
% 16.03/10.83 (trans(s109, s110)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9092, 9089, 32])).
% 16.03/10.83 tff(9094,plain,
% 16.03/10.83 (((~![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))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9095,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s109, s110)) | node18(s109, s110))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9096,plain,
% 16.03/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s109, s110)) | node18(s109, s110)),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 16.03/10.83 tff(9097,plain,
% 16.03/10.83 (node18(s109, s110)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9096, 125, 9093])).
% 16.03/10.83 tff(9098,plain,
% 16.03/10.83 (((~![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(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))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9099,plain,
% 16.03/10.83 (((~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))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9100,plain,
% 16.03/10.83 (((~![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(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)))),
% 16.03/10.83 inference(monotonicity,[status(thm)],[9099])).
% 16.03/10.83 tff(9101,plain,
% 16.03/10.83 (((~![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(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))),
% 16.03/10.83 inference(transitivity,[status(thm)],[9100, 9098])).
% 16.03/10.83 tff(9102,plain,
% 16.03/10.83 ((~![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(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node15(s109) | (~node18(s109, s110)) | m_main_v_turn(s110, c_1))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9103,plain,
% 16.03/10.83 ((~![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(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)),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9102, 9101])).
% 16.03/10.83 tff(9104,plain,
% 16.03/10.83 (node15(s109) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9103, 992, 9097])).
% 16.03/10.83 tff(9105,plain,
% 16.03/10.83 (m_main_v_turn(s110, c_1)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9104, 9086, 9078, 9042])).
% 16.03/10.83 tff(9106,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9107,plain,
% 16.03/10.83 ((~![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)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9108,plain,
% 16.03/10.83 ((~![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))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9107, 9106])).
% 16.03/10.83 tff(9109,plain,
% 16.03/10.83 (~m_main_v_turn(s110, c_2)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9108, 156, 9105])).
% 16.03/10.83 tff(9110,plain,
% 16.03/10.83 (((~![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)))),
% 16.03/10.83 inference(rewrite,[status(thm)],[])).
% 16.03/10.83 tff(9111,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s110, c_2) | (~node12(s110)))),
% 16.03/10.83 inference(quant_inst,[status(thm)],[])).
% 16.03/10.83 tff(9112,plain,
% 16.03/10.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s110, c_2) | (~node12(s110))),
% 16.03/10.83 inference(modus_ponens,[status(thm)],[9111, 9110])).
% 16.03/10.83 tff(9113,plain,
% 16.03/10.83 (~node12(s110)),
% 16.03/10.83 inference(unit_resolution,[status(thm)],[9112, 184, 9109])).
% 16.03/10.83 tff(9114,plain,
% 16.03/10.83 (((~![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))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9115,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s109, s110)) | node14(s109, s110))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9116,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s109, s110)) | node14(s109, s110)),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 16.03/10.84 tff(9117,plain,
% 16.03/10.84 (node14(s109, s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9116, 46, 9093])).
% 16.03/10.84 tff(9118,plain,
% 16.03/10.84 (((~![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(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))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9119,plain,
% 16.03/10.84 ((~![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(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9120,plain,
% 16.03/10.84 ((~![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(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2)),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9119, 9118])).
% 16.03/10.84 tff(9121,plain,
% 16.03/10.84 ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state2(s110, c_t2)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9120, 922, 9117])).
% 16.03/10.84 tff(9122,plain,
% 16.03/10.84 (m_main_v_state2(s110, c_t2)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9121, 9042, 9078])).
% 16.03/10.84 tff(9123,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9124,plain,
% 16.03/10.84 ((~![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)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9125,plain,
% 16.03/10.84 ((~![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))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9124, 9123])).
% 16.03/10.84 tff(9126,plain,
% 16.03/10.84 (~m_main_v_state2(s110, c_n2)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9125, 77, 9122])).
% 16.03/10.84 tff(9127,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9128,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s110, c_n2) | (~node8(s110)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9129,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s110, c_n2) | (~node8(s110))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9128, 9127])).
% 16.03/10.84 tff(9130,plain,
% 16.03/10.84 (~node8(s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9129, 271, 9126])).
% 16.03/10.84 tff(9131,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9132,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s110, c_n2) | (~node9(s110)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9133,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s110, c_n2) | (~node9(s110))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9132, 9131])).
% 16.03/10.84 tff(9134,plain,
% 16.03/10.84 (~node9(s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9133, 88, 9126])).
% 16.03/10.84 tff(9135,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9136,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s110, c_n2) | (~node10(s110)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9137,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s110, c_n2) | (~node10(s110))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9136, 9135])).
% 16.03/10.84 tff(9138,plain,
% 16.03/10.84 (~node10(s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9137, 249, 9126])).
% 16.03/10.84 tff(9139,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9140,plain,
% 16.03/10.84 ((~![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)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9141,plain,
% 16.03/10.84 ((~![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))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9140, 9139])).
% 16.03/10.84 tff(9142,plain,
% 16.03/10.84 (~m_main_v_state2(s110, c_c2)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9141, 260, 9122])).
% 16.03/10.84 tff(9143,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9144,plain,
% 16.03/10.84 ((~![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)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9145,plain,
% 16.03/10.84 ((~![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))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9144, 9143])).
% 16.03/10.84 tff(9146,plain,
% 16.03/10.84 (~m_main_v_state2(s109, c_c2)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9145, 697, 9078])).
% 16.03/10.84 tff(9147,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9148,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s109, c_c2) | (~node3(s109)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9149,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s109, c_c2) | (~node3(s109))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9148, 9147])).
% 16.03/10.84 tff(9150,plain,
% 16.03/10.84 (~node3(s109)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9149, 399, 9146])).
% 16.03/10.84 tff(9151,plain,
% 16.03/10.84 (((~![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(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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9152,plain,
% 16.03/10.84 (((~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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9153,plain,
% 16.03/10.84 (((~![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))))),
% 16.03/10.84 inference(monotonicity,[status(thm)],[9152])).
% 16.03/10.84 tff(9154,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(transitivity,[status(thm)],[9153, 9151])).
% 16.03/10.84 tff(9155,plain,
% 16.03/10.84 ((~![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)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9156,plain,
% 16.03/10.84 ((~![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(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9155, 9154])).
% 16.03/10.84 tff(9157,plain,
% 16.03/10.84 (~m_main_v_state1(s109, c_n1)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9156, 835, 8950, 9035])).
% 16.03/10.84 tff(9158,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9159,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s109, c_n1) | (~node2(s109)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9160,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s109, c_n1) | (~node2(s109))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9159, 9158])).
% 16.03/10.84 tff(9161,plain,
% 16.03/10.84 (~node2(s109)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9160, 787, 9157])).
% 16.03/10.84 tff(9162,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9163,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s109, c_t2) | (~node1(s109)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9164,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s109, c_t2) | (~node1(s109))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9163, 9162])).
% 16.03/10.84 tff(9165,plain,
% 16.03/10.84 (~node1(s109)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9164, 195, 9082])).
% 16.03/10.84 tff(9166,plain,
% 16.03/10.84 (((~![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))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9167,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s109, s110)) | node7(s109, s110))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9168,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s109, s110)) | node7(s109, s110)),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9167, 9166])).
% 16.03/10.84 tff(9169,plain,
% 16.03/10.84 (node7(s109, s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9168, 206, 9093])).
% 16.03/10.84 tff(9170,plain,
% 16.03/10.84 (((~![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(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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9171,plain,
% 16.03/10.84 (((~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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9172,plain,
% 16.03/10.84 (((~![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(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))))),
% 16.03/10.84 inference(monotonicity,[status(thm)],[9171])).
% 16.03/10.84 tff(9173,plain,
% 16.03/10.84 (((~![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(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)))),
% 16.03/10.84 inference(transitivity,[status(thm)],[9172, 9170])).
% 16.03/10.84 tff(9174,plain,
% 16.03/10.84 ((~![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(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))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9175,plain,
% 16.03/10.84 ((~![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(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))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9174, 9173])).
% 16.03/10.84 tff(9176,plain,
% 16.03/10.84 ((~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)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9175, 892, 9169])).
% 16.03/10.84 tff(9177,plain,
% 16.03/10.84 (m_main_v_state1(s110, c_c1)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9176, 9165, 9078, 9042, 9161, 9150])).
% 16.03/10.84 tff(9178,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9179,plain,
% 16.03/10.84 ((~![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)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9180,plain,
% 16.03/10.84 ((~![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))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9179, 9178])).
% 16.03/10.84 tff(9181,plain,
% 16.03/10.84 (~m_main_v_state1(s110, c_n1)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9180, 454, 9177])).
% 16.03/10.84 tff(9182,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9183,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s110, c_n1) | (~node11(s110)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9184,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s110, c_n1) | (~node11(s110))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9183, 9182])).
% 16.03/10.84 tff(9185,plain,
% 16.03/10.84 (~node11(s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9184, 238, 9181])).
% 16.03/10.84 tff(9186,plain,
% 16.03/10.84 (succ(s110, s111) <=> succ(s110, s111)),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9187,axiom,(succ(s110, s111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound111')).
% 16.03/10.84 tff(9188,plain,
% 16.03/10.84 (succ(s110, s111)),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9187, 9186])).
% 16.03/10.84 tff(9189,plain,
% 16.03/10.84 (((~![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))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9190,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9191,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111)),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9190, 9189])).
% 16.03/10.84 tff(9192,plain,
% 16.03/10.84 (trans(s110, s111)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9191, 9188, 32])).
% 16.03/10.84 tff(9193,plain,
% 16.03/10.84 (((~![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))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9194,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s110, s111)) | node14(s110, s111))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9195,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s110, s111)) | node14(s110, s111)),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9194, 9193])).
% 16.03/10.84 tff(9196,plain,
% 16.03/10.84 (node14(s110, s111)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9195, 46, 9192])).
% 16.03/10.84 tff(9197,plain,
% 16.03/10.84 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9198,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9199,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9198, 9197])).
% 16.03/10.84 tff(9200,plain,
% 16.03/10.84 (m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9199, 296, 9196])).
% 16.03/10.84 tff(9201,plain,
% 16.03/10.84 (node13(s110, s111)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9200, 9185, 9142, 9138, 9134, 9130, 9113])).
% 16.03/10.84 tff(9202,plain,
% 16.03/10.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9203,plain,
% 16.03/10.84 (((~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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9204,plain,
% 16.03/10.84 (((~![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))))),
% 16.03/10.84 inference(monotonicity,[status(thm)],[9203])).
% 16.03/10.84 tff(9205,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(transitivity,[status(thm)],[9204, 9202])).
% 16.03/10.84 tff(9206,plain,
% 16.03/10.84 ((~![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)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9207,plain,
% 16.03/10.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 16.03/10.84 tff(9208,plain,
% 16.03/10.84 (~m_main_v_state2(s111, c_n2)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9207, 311, 9126, 9201])).
% 16.03/10.84 tff(9209,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9210,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s111, c_n2) | (~node9(s111)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9211,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s111, c_n2) | (~node9(s111))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9210, 9209])).
% 16.03/10.84 tff(9212,plain,
% 16.03/10.84 (~node9(s111)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9211, 88, 9208])).
% 16.03/10.84 tff(9213,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9214,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s111, c_n2) | (~node10(s111)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9215,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s111, c_n2) | (~node10(s111))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9214, 9213])).
% 16.03/10.84 tff(9216,plain,
% 16.03/10.84 (~node10(s111)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9215, 249, 9208])).
% 16.03/10.84 tff(9217,plain,
% 16.03/10.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9218,plain,
% 16.03/10.84 (((~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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9219,plain,
% 16.03/10.84 (((~![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))))),
% 16.03/10.84 inference(monotonicity,[status(thm)],[9218])).
% 16.03/10.84 tff(9220,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(transitivity,[status(thm)],[9219, 9217])).
% 16.03/10.84 tff(9221,plain,
% 16.03/10.84 ((~![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))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9222,plain,
% 16.03/10.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9221, 9220])).
% 16.03/10.84 tff(9223,plain,
% 16.03/10.84 (m_main_v_state2(s111, c_t2)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9222, 518, 9122, 9201])).
% 16.03/10.84 tff(9224,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9225,plain,
% 16.03/10.84 ((~![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)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9226,plain,
% 16.03/10.84 ((~![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))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9225, 9224])).
% 16.03/10.84 tff(9227,plain,
% 16.03/10.84 (~m_main_v_state1(s110, c_t1)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9226, 539, 9177])).
% 16.03/10.84 tff(9228,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9229,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s110, c_t1) | (~node5(s110)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9230,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s110, c_t1) | (~node5(s110))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9229, 9228])).
% 16.03/10.84 tff(9231,plain,
% 16.03/10.84 (~node5(s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9230, 550, 9227])).
% 16.03/10.84 tff(9232,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9233,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s110, c_n2) | (~node4(s110)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9234,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s110, c_n2) | (~node4(s110))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9233, 9232])).
% 16.03/10.84 tff(9235,plain,
% 16.03/10.84 (~node4(s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9234, 388, 9126])).
% 16.03/10.84 tff(9236,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9237,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s110, c_c2) | (~node3(s110)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9238,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s110, c_c2) | (~node3(s110))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9237, 9236])).
% 16.03/10.84 tff(9239,plain,
% 16.03/10.84 (~node3(s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9238, 399, 9142])).
% 16.03/10.84 tff(9240,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9241,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s110, c_n2) | (~node2(s110)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9242,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s110, c_n2) | (~node2(s110))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9241, 9240])).
% 16.03/10.84 tff(9243,plain,
% 16.03/10.84 (~node2(s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9242, 410, 9126])).
% 16.03/10.84 tff(9244,plain,
% 16.03/10.84 (((~![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)))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9245,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s110, c_n1) | (~node1(s110)))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9246,plain,
% 16.03/10.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s110, c_n1) | (~node1(s110))),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9245, 9244])).
% 16.03/10.84 tff(9247,plain,
% 16.03/10.84 (~node1(s110)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9246, 421, 9181])).
% 16.03/10.84 tff(9248,plain,
% 16.03/10.84 (((~![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))),
% 16.03/10.84 inference(rewrite,[status(thm)],[])).
% 16.03/10.84 tff(9249,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s110, s111)) | node7(s110, s111))),
% 16.03/10.84 inference(quant_inst,[status(thm)],[])).
% 16.03/10.84 tff(9250,plain,
% 16.03/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s110, s111)) | node7(s110, s111)),
% 16.03/10.84 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 16.03/10.84 tff(9251,plain,
% 16.03/10.84 (node7(s110, s111)),
% 16.03/10.84 inference(unit_resolution,[status(thm)],[9250, 206, 9192])).
% 16.03/10.84 tff(9252,plain,
% 16.03/10.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9253,plain,
% 16.03/10.85 (((~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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9254,plain,
% 16.03/10.85 (((~![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(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))))),
% 16.03/10.85 inference(monotonicity,[status(thm)],[9253])).
% 16.03/10.85 tff(9255,plain,
% 16.03/10.85 (((~![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(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)))),
% 16.03/10.85 inference(transitivity,[status(thm)],[9254, 9252])).
% 16.03/10.85 tff(9256,plain,
% 16.03/10.85 ((~![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(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)) | m_main_v_state1(s111, c_n1))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9257,plain,
% 16.03/10.85 ((~![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(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9256, 9255])).
% 16.03/10.85 tff(9258,plain,
% 16.03/10.85 (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9257, 584, 9251])).
% 16.03/10.85 tff(9259,plain,
% 16.03/10.85 (m_main_v_state1(s111, c_n1)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9258, 9247, 9177, 9243, 9239, 9235, 9231])).
% 16.03/10.85 tff(9260,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9261,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s111, c_n2) | (~node8(s111)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9262,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s111, c_n2) | (~node8(s111))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9261, 9260])).
% 16.03/10.85 tff(9263,plain,
% 16.03/10.85 (~node8(s111)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9262, 271, 9208])).
% 16.03/10.85 tff(9264,plain,
% 16.03/10.85 (succ(s111, s112) <=> succ(s111, s112)),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9265,axiom,(succ(s111, s112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound112')).
% 16.03/10.85 tff(9266,plain,
% 16.03/10.85 (succ(s111, s112)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9265, 9264])).
% 16.03/10.85 tff(9267,plain,
% 16.03/10.85 (((~![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))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9268,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9269,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9268, 9267])).
% 16.03/10.85 tff(9270,plain,
% 16.03/10.85 (trans(s111, s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9269, 9266, 32])).
% 16.03/10.85 tff(9271,plain,
% 16.03/10.85 (((~![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))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9272,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s111, s112)) | node14(s111, s112))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9273,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s111, s112)) | node14(s111, s112)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9272, 9271])).
% 16.03/10.85 tff(9274,plain,
% 16.03/10.85 (node14(s111, s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9273, 46, 9270])).
% 16.03/10.85 tff(9275,plain,
% 16.03/10.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9276,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9277,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9276, 9275])).
% 16.03/10.85 tff(9278,plain,
% 16.03/10.85 ((~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)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9277, 617, 9274])).
% 16.03/10.85 tff(9279,plain,
% 16.03/10.85 (m_main_v_state2(s112, c_c2)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9278, 9263, 9259, 9223, 9216, 9212])).
% 16.03/10.85 tff(9280,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9281,plain,
% 16.03/10.85 ((~![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)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9282,plain,
% 16.03/10.85 ((~![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))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9281, 9280])).
% 16.03/10.85 tff(9283,plain,
% 16.03/10.85 (~m_main_v_state2(s112, c_t2)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9282, 260, 9279])).
% 16.03/10.85 tff(9284,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9285,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s112, c_t2) | (~node12(s112)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9286,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s112, c_t2) | (~node12(s112))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9285, 9284])).
% 16.03/10.85 tff(9287,plain,
% 16.03/10.85 (~node12(s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9286, 633, 9283])).
% 16.03/10.85 tff(9288,plain,
% 16.03/10.85 (((~![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))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9289,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s111, s112)) | node7(s111, s112))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9290,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s111, s112)) | node7(s111, s112)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9289, 9288])).
% 16.03/10.85 tff(9291,plain,
% 16.03/10.85 (node7(s111, s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9290, 206, 9270])).
% 16.03/10.85 tff(9292,plain,
% 16.03/10.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9293,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9294,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9293, 9292])).
% 16.03/10.85 tff(9295,plain,
% 16.03/10.85 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | m_main_v_state1(s112, c_t1)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9294, 651, 9291])).
% 16.03/10.85 tff(9296,plain,
% 16.03/10.85 (m_main_v_state1(s112, c_t1)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9295, 9223, 9259])).
% 16.03/10.85 tff(9297,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9298,plain,
% 16.03/10.85 ((~![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)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9299,plain,
% 16.03/10.85 ((~![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))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 16.03/10.85 tff(9300,plain,
% 16.03/10.85 (~m_main_v_state1(s112, c_n1)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9299, 10, 9296])).
% 16.03/10.85 tff(9301,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9302,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s112, c_n1) | (~node11(s112)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9303,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s112, c_n1) | (~node11(s112))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 16.03/10.85 tff(9304,plain,
% 16.03/10.85 (~node11(s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9303, 238, 9300])).
% 16.03/10.85 tff(9305,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9306,plain,
% 16.03/10.85 ((~![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)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9307,plain,
% 16.03/10.85 ((~![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))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9306, 9305])).
% 16.03/10.85 tff(9308,plain,
% 16.03/10.85 (~m_main_v_state1(s112, c_c1)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9307, 539, 9296])).
% 16.03/10.85 tff(9309,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9310,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s112, c_c1) | (~node10(s112)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9311,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s112, c_c1) | (~node10(s112))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9310, 9309])).
% 16.03/10.85 tff(9312,plain,
% 16.03/10.85 (~node10(s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9311, 675, 9308])).
% 16.03/10.85 tff(9313,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9314,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s112, c_n1) | (~node9(s112)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9315,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s112, c_n1) | (~node9(s112))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9314, 9313])).
% 16.03/10.85 tff(9316,plain,
% 16.03/10.85 (~node9(s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9315, 686, 9300])).
% 16.03/10.85 tff(9317,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9318,plain,
% 16.03/10.85 ((~![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)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9319,plain,
% 16.03/10.85 ((~![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))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9318, 9317])).
% 16.03/10.85 tff(9320,plain,
% 16.03/10.85 (~m_main_v_state2(s112, c_n2)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9319, 697, 9279])).
% 16.03/10.85 tff(9321,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9322,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s112, c_n2) | (~node8(s112)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9323,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s112, c_n2) | (~node8(s112))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9322, 9321])).
% 16.03/10.85 tff(9324,plain,
% 16.03/10.85 (~node8(s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9323, 271, 9320])).
% 16.03/10.85 tff(9325,plain,
% 16.03/10.85 (succ(s112, s113) <=> succ(s112, s113)),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9326,axiom,(succ(s112, s113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound113')).
% 16.03/10.85 tff(9327,plain,
% 16.03/10.85 (succ(s112, s113)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9326, 9325])).
% 16.03/10.85 tff(9328,plain,
% 16.03/10.85 (((~![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))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9329,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9330,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 16.03/10.85 tff(9331,plain,
% 16.03/10.85 (trans(s112, s113)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9330, 9327, 32])).
% 16.03/10.85 tff(9332,plain,
% 16.03/10.85 (((~![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))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9333,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s112, s113)) | node14(s112, s113))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9334,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s112, s113)) | node14(s112, s113)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9333, 9332])).
% 16.03/10.85 tff(9335,plain,
% 16.03/10.85 (node14(s112, s113)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9334, 46, 9331])).
% 16.03/10.85 tff(9336,plain,
% 16.03/10.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9337,plain,
% 16.03/10.85 (((~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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9338,plain,
% 16.03/10.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.03/10.85 inference(monotonicity,[status(thm)],[9337])).
% 16.03/10.85 tff(9339,plain,
% 16.03/10.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.03/10.85 inference(transitivity,[status(thm)],[9338, 9336])).
% 16.03/10.85 tff(9340,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9341,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9340, 9339])).
% 16.03/10.85 tff(9342,plain,
% 16.03/10.85 (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~m_main_v_state2(s112, c_c2))),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9341, 726, 9335])).
% 16.03/10.85 tff(9343,plain,
% 16.03/10.85 (m_main_v_state2(s113, c_n2)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9342, 9324, 9279, 9316, 9312, 9304, 9287])).
% 16.03/10.85 tff(9344,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9345,plain,
% 16.03/10.85 ((~![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)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9346,plain,
% 16.03/10.85 ((~![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))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9345, 9344])).
% 16.03/10.85 tff(9347,plain,
% 16.03/10.85 (~m_main_v_state2(s113, c_c2)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9346, 697, 9343])).
% 16.03/10.85 tff(9348,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9349,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s113, c_c2) | (~node3(s113)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9350,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s113, c_c2) | (~node3(s113))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9349, 9348])).
% 16.03/10.85 tff(9351,plain,
% 16.03/10.85 (~node3(s113)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9350, 399, 9347])).
% 16.03/10.85 tff(9352,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9353,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s112, c_n1) | (~node1(s112)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9354,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s112, c_n1) | (~node1(s112))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9353, 9352])).
% 16.03/10.85 tff(9355,plain,
% 16.03/10.85 (~node1(s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9354, 421, 9300])).
% 16.03/10.85 tff(9356,plain,
% 16.03/10.85 (((~![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))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9357,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s111, s112)) | node18(s111, s112))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9358,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s111, s112)) | node18(s111, s112)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9357, 9356])).
% 16.03/10.85 tff(9359,plain,
% 16.03/10.85 (node18(s111, s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9358, 125, 9270])).
% 16.03/10.85 tff(9360,plain,
% 16.03/10.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9361,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9362,plain,
% 16.03/10.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2)),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 16.03/10.85 tff(9363,plain,
% 16.03/10.85 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | m_main_v_turn(s112, c_2)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9362, 760, 9359])).
% 16.03/10.85 tff(9364,plain,
% 16.03/10.85 (m_main_v_turn(s112, c_2)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9363, 9223, 9259])).
% 16.03/10.85 tff(9365,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9366,plain,
% 16.03/10.85 ((~![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)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9367,plain,
% 16.03/10.85 ((~![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))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9366, 9365])).
% 16.03/10.85 tff(9368,plain,
% 16.03/10.85 (~m_main_v_turn(s112, c_1)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9367, 156, 9364])).
% 16.03/10.85 tff(9369,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.85 inference(rewrite,[status(thm)],[])).
% 16.03/10.85 tff(9370,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s112, c_1) | (~node5(s112)))),
% 16.03/10.85 inference(quant_inst,[status(thm)],[])).
% 16.03/10.85 tff(9371,plain,
% 16.03/10.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s112, c_1) | (~node5(s112))),
% 16.03/10.85 inference(modus_ponens,[status(thm)],[9370, 9369])).
% 16.03/10.85 tff(9372,plain,
% 16.03/10.85 (~node5(s112)),
% 16.03/10.85 inference(unit_resolution,[status(thm)],[9371, 776, 9368])).
% 16.03/10.85 tff(9373,plain,
% 16.03/10.85 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9374,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s112, c_n1) | (~node2(s112)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9375,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s112, c_n1) | (~node2(s112))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9374, 9373])).
% 16.03/10.86 tff(9376,plain,
% 16.03/10.86 (~node2(s112)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9375, 787, 9300])).
% 16.03/10.86 tff(9377,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9378,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s112, c_n1) | (~node3(s112)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9379,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s112, c_n1) | (~node3(s112))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9378, 9377])).
% 16.03/10.86 tff(9380,plain,
% 16.03/10.86 (~node3(s112)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9379, 798, 9300])).
% 16.03/10.86 tff(9381,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9382,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s112, c_n2) | (~node4(s112)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9383,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s112, c_n2) | (~node4(s112))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9382, 9381])).
% 16.03/10.86 tff(9384,plain,
% 16.03/10.86 (~node4(s112)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9383, 388, 9320])).
% 16.03/10.86 tff(9385,plain,
% 16.03/10.86 (((~![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))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9386,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s112, s113)) | node7(s112, s113))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9387,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s112, s113)) | node7(s112, s113)),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9386, 9385])).
% 16.03/10.86 tff(9388,plain,
% 16.03/10.86 (node7(s112, s113)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9387, 206, 9331])).
% 16.03/10.86 tff(9389,plain,
% 16.03/10.86 (((~![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(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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9390,plain,
% 16.03/10.86 ((~![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(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9391,plain,
% 16.03/10.86 ((~![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(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9390, 9389])).
% 16.03/10.86 tff(9392,plain,
% 16.03/10.86 (m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9391, 820, 9388])).
% 16.03/10.86 tff(9393,plain,
% 16.03/10.86 (node6(s112, s113)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9392, 9384, 9308, 9380, 9376, 9372, 9355])).
% 16.03/10.86 tff(9394,plain,
% 16.03/10.86 (((~![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(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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9395,plain,
% 16.03/10.86 (((~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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9396,plain,
% 16.03/10.86 (((~![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))))),
% 16.03/10.86 inference(monotonicity,[status(thm)],[9395])).
% 16.03/10.86 tff(9397,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(transitivity,[status(thm)],[9396, 9394])).
% 16.03/10.86 tff(9398,plain,
% 16.03/10.86 ((~![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)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9399,plain,
% 16.03/10.86 ((~![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(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9398, 9397])).
% 16.03/10.86 tff(9400,plain,
% 16.03/10.86 (~m_main_v_state1(s113, c_n1)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9399, 835, 9300, 9393])).
% 16.03/10.86 tff(9401,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9402,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s113, c_n1) | (~node2(s113)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9403,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s113, c_n1) | (~node2(s113))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9402, 9401])).
% 16.03/10.86 tff(9404,plain,
% 16.03/10.86 (~node2(s113)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9403, 787, 9400])).
% 16.03/10.86 tff(9405,plain,
% 16.03/10.86 (((~![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(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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9406,plain,
% 16.03/10.86 (((~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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9407,plain,
% 16.03/10.86 (((~![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))))),
% 16.03/10.86 inference(monotonicity,[status(thm)],[9406])).
% 16.03/10.86 tff(9408,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(transitivity,[status(thm)],[9407, 9405])).
% 16.03/10.86 tff(9409,plain,
% 16.03/10.86 ((~![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))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9410,plain,
% 16.03/10.86 ((~![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(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9409, 9408])).
% 16.03/10.86 tff(9411,plain,
% 16.03/10.86 (m_main_v_state1(s113, c_t1)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9410, 856, 9296, 9393])).
% 16.03/10.86 tff(9412,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9413,plain,
% 16.03/10.86 ((~![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)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9414,plain,
% 16.03/10.86 ((~![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))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9413, 9412])).
% 16.03/10.86 tff(9415,plain,
% 16.03/10.86 (~m_main_v_state2(s113, c_t2)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9414, 77, 9343])).
% 16.03/10.86 tff(9416,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9417,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s113, c_t2) | (~node1(s113)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9418,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s113, c_t2) | (~node1(s113))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9417, 9416])).
% 16.03/10.86 tff(9419,plain,
% 16.03/10.86 (~node1(s113)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9418, 195, 9415])).
% 16.03/10.86 tff(9420,plain,
% 16.03/10.86 (succ(s113, s114) <=> succ(s113, s114)),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9421,axiom,(succ(s113, s114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound114')).
% 16.03/10.86 tff(9422,plain,
% 16.03/10.86 (succ(s113, s114)),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9421, 9420])).
% 16.03/10.86 tff(9423,plain,
% 16.03/10.86 (((~![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))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9424,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9425,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114)),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9424, 9423])).
% 16.03/10.86 tff(9426,plain,
% 16.03/10.86 (trans(s113, s114)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9425, 9422, 32])).
% 16.03/10.86 tff(9427,plain,
% 16.03/10.86 (((~![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))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9428,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s113, s114)) | node7(s113, s114))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9429,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s113, s114)) | node7(s113, s114)),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9428, 9427])).
% 16.03/10.86 tff(9430,plain,
% 16.03/10.86 (node7(s113, s114)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9429, 206, 9426])).
% 16.03/10.86 tff(9431,plain,
% 16.03/10.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9432,plain,
% 16.03/10.86 (((~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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9433,plain,
% 16.03/10.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.03/10.86 inference(monotonicity,[status(thm)],[9432])).
% 16.03/10.86 tff(9434,plain,
% 16.03/10.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.03/10.86 inference(transitivity,[status(thm)],[9433, 9431])).
% 16.03/10.86 tff(9435,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9436,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9435, 9434])).
% 16.03/10.86 tff(9437,plain,
% 16.03/10.86 ((~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)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9436, 892, 9430])).
% 16.03/10.86 tff(9438,plain,
% 16.03/10.86 (m_main_v_state1(s114, c_c1)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9437, 9419, 9343, 9411, 9404, 9351])).
% 16.03/10.86 tff(9439,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9440,plain,
% 16.03/10.86 ((~![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)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9441,plain,
% 16.03/10.86 ((~![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))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9440, 9439])).
% 16.03/10.86 tff(9442,plain,
% 16.03/10.86 (~m_main_v_state1(s114, c_t1)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9441, 539, 9438])).
% 16.03/10.86 tff(9443,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9444,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s114, c_t1) | (~node5(s114)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9445,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s114, c_t1) | (~node5(s114))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9444, 9443])).
% 16.03/10.86 tff(9446,plain,
% 16.03/10.86 (~node5(s114)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9445, 550, 9442])).
% 16.03/10.86 tff(9447,plain,
% 16.03/10.86 (((~![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))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9448,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s113, s114)) | node14(s113, s114))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9449,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s113, s114)) | node14(s113, s114)),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 16.03/10.86 tff(9450,plain,
% 16.03/10.86 (node14(s113, s114)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9449, 46, 9426])).
% 16.03/10.86 tff(9451,plain,
% 16.03/10.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9452,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9453,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2)),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 16.03/10.86 tff(9454,plain,
% 16.03/10.86 ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state2(s114, c_t2)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9453, 922, 9450])).
% 16.03/10.86 tff(9455,plain,
% 16.03/10.86 (m_main_v_state2(s114, c_t2)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9454, 9411, 9343])).
% 16.03/10.86 tff(9456,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9457,plain,
% 16.03/10.86 ((~![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)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9458,plain,
% 16.03/10.86 ((~![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))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 16.03/10.86 tff(9459,plain,
% 16.03/10.86 (~m_main_v_state2(s114, c_n2)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9458, 77, 9455])).
% 16.03/10.86 tff(9460,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9461,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s114, c_n2) | (~node4(s114)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9462,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s114, c_n2) | (~node4(s114))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9461, 9460])).
% 16.03/10.86 tff(9463,plain,
% 16.03/10.86 (~node4(s114)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9462, 388, 9459])).
% 16.03/10.86 tff(9464,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9465,plain,
% 16.03/10.86 ((~![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)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9466,plain,
% 16.03/10.86 ((~![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))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9465, 9464])).
% 16.03/10.86 tff(9467,plain,
% 16.03/10.86 (~m_main_v_state2(s114, c_c2)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9466, 260, 9455])).
% 16.03/10.86 tff(9468,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9469,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s114, c_c2) | (~node3(s114)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9470,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s114, c_c2) | (~node3(s114))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9469, 9468])).
% 16.03/10.86 tff(9471,plain,
% 16.03/10.86 (~node3(s114)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9470, 399, 9467])).
% 16.03/10.86 tff(9472,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9473,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s114, c_n2) | (~node2(s114)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9474,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s114, c_n2) | (~node2(s114))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9473, 9472])).
% 16.03/10.86 tff(9475,plain,
% 16.03/10.86 (~node2(s114)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9474, 410, 9459])).
% 16.03/10.86 tff(9476,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9477,plain,
% 16.03/10.86 ((~![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)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9478,plain,
% 16.03/10.86 ((~![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))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9477, 9476])).
% 16.03/10.86 tff(9479,plain,
% 16.03/10.86 (~m_main_v_state1(s114, c_n1)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9478, 454, 9438])).
% 16.03/10.86 tff(9480,plain,
% 16.03/10.86 (((~![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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9481,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s114, c_n1) | (~node1(s114)))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9482,plain,
% 16.03/10.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s114, c_n1) | (~node1(s114))),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9481, 9480])).
% 16.03/10.86 tff(9483,plain,
% 16.03/10.86 (~node1(s114)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9482, 421, 9479])).
% 16.03/10.86 tff(9484,plain,
% 16.03/10.86 (succ(s114, s115) <=> succ(s114, s115)),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9485,axiom,(succ(s114, s115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound115')).
% 16.03/10.86 tff(9486,plain,
% 16.03/10.86 (succ(s114, s115)),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9485, 9484])).
% 16.03/10.86 tff(9487,plain,
% 16.03/10.86 (((~![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))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9488,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9489,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115)),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9488, 9487])).
% 16.03/10.86 tff(9490,plain,
% 16.03/10.86 (trans(s114, s115)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9489, 9486, 32])).
% 16.03/10.86 tff(9491,plain,
% 16.03/10.86 (((~![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))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9492,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s114, s115)) | node7(s114, s115))),
% 16.03/10.86 inference(quant_inst,[status(thm)],[])).
% 16.03/10.86 tff(9493,plain,
% 16.03/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s114, s115)) | node7(s114, s115)),
% 16.03/10.86 inference(modus_ponens,[status(thm)],[9492, 9491])).
% 16.03/10.86 tff(9494,plain,
% 16.03/10.86 (node7(s114, s115)),
% 16.03/10.86 inference(unit_resolution,[status(thm)],[9493, 206, 9490])).
% 16.03/10.86 tff(9495,plain,
% 16.03/10.86 (((~![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(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)))),
% 16.03/10.86 inference(rewrite,[status(thm)],[])).
% 16.03/10.86 tff(9496,plain,
% 16.03/10.86 (((~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)))),
% 16.07/10.86 inference(rewrite,[status(thm)],[])).
% 16.07/10.86 tff(9497,plain,
% 16.07/10.86 (((~![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(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))))),
% 16.07/10.86 inference(monotonicity,[status(thm)],[9496])).
% 16.07/10.86 tff(9498,plain,
% 16.07/10.86 (((~![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(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)))),
% 16.07/10.86 inference(transitivity,[status(thm)],[9497, 9495])).
% 16.07/10.86 tff(9499,plain,
% 16.07/10.86 ((~![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(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)) | m_main_v_state1(s115, c_n1))),
% 16.07/10.86 inference(quant_inst,[status(thm)],[])).
% 16.07/10.86 tff(9500,plain,
% 16.07/10.86 ((~![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(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115))),
% 16.07/10.86 inference(modus_ponens,[status(thm)],[9499, 9498])).
% 16.07/10.86 tff(9501,plain,
% 16.07/10.86 (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114)),
% 16.07/10.86 inference(unit_resolution,[status(thm)],[9500, 584, 9494])).
% 16.07/10.86 tff(9502,plain,
% 16.07/10.86 (m_main_v_state1(s115, c_n1)),
% 16.07/10.86 inference(unit_resolution,[status(thm)],[9501, 9483, 9438, 9475, 9471, 9463, 9446])).
% 16.07/10.86 tff(9503,plain,
% 16.07/10.86 (((~![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)))),
% 16.07/10.86 inference(rewrite,[status(thm)],[])).
% 16.07/10.86 tff(9504,plain,
% 16.07/10.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s113, c_t2) | (~node15(s113)))),
% 16.07/10.86 inference(quant_inst,[status(thm)],[])).
% 16.07/10.86 tff(9505,plain,
% 16.07/10.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s113, c_t2) | (~node15(s113))),
% 16.07/10.86 inference(modus_ponens,[status(thm)],[9504, 9503])).
% 16.07/10.86 tff(9506,plain,
% 16.07/10.86 (~node15(s113)),
% 16.07/10.86 inference(unit_resolution,[status(thm)],[9505, 103, 9415])).
% 16.07/10.86 tff(9507,plain,
% 16.07/10.86 (((~![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))),
% 16.07/10.86 inference(rewrite,[status(thm)],[])).
% 16.07/10.86 tff(9508,plain,
% 16.07/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s113, s114)) | node18(s113, s114))),
% 16.07/10.86 inference(quant_inst,[status(thm)],[])).
% 16.07/10.86 tff(9509,plain,
% 16.07/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s113, s114)) | node18(s113, s114)),
% 16.07/10.86 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 16.07/10.86 tff(9510,plain,
% 16.07/10.86 (node18(s113, s114)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9509, 125, 9426])).
% 16.07/10.87 tff(9511,plain,
% 16.07/10.87 (((~![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(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))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9512,plain,
% 16.07/10.87 (((~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))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9513,plain,
% 16.07/10.87 (((~![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(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)))),
% 16.07/10.87 inference(monotonicity,[status(thm)],[9512])).
% 16.07/10.87 tff(9514,plain,
% 16.07/10.87 (((~![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(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))),
% 16.07/10.87 inference(transitivity,[status(thm)],[9513, 9511])).
% 16.07/10.87 tff(9515,plain,
% 16.07/10.87 ((~![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(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node15(s113) | (~node18(s113, s114)) | m_main_v_turn(s114, c_1))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9516,plain,
% 16.07/10.87 ((~![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(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)),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9515, 9514])).
% 16.07/10.87 tff(9517,plain,
% 16.07/10.87 (node15(s113) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9516, 992, 9510])).
% 16.07/10.87 tff(9518,plain,
% 16.07/10.87 (m_main_v_turn(s114, c_1)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9517, 9506, 9343, 9411])).
% 16.07/10.87 tff(9519,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9520,plain,
% 16.07/10.87 ((~![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)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9521,plain,
% 16.07/10.87 ((~![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))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9520, 9519])).
% 16.07/10.87 tff(9522,plain,
% 16.07/10.87 (~m_main_v_turn(s114, c_2)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9521, 156, 9518])).
% 16.07/10.87 tff(9523,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9524,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s114, c_2) | (~node12(s114)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9525,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s114, c_2) | (~node12(s114))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9524, 9523])).
% 16.07/10.87 tff(9526,plain,
% 16.07/10.87 (~node12(s114)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9525, 184, 9522])).
% 16.07/10.87 tff(9527,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9528,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s114, c_n2) | (~node8(s114)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9529,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s114, c_n2) | (~node8(s114))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9528, 9527])).
% 16.07/10.87 tff(9530,plain,
% 16.07/10.87 (~node8(s114)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9529, 271, 9459])).
% 16.07/10.87 tff(9531,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9532,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s114, c_n2) | (~node9(s114)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9533,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s114, c_n2) | (~node9(s114))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9532, 9531])).
% 16.07/10.87 tff(9534,plain,
% 16.07/10.87 (~node9(s114)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9533, 88, 9459])).
% 16.07/10.87 tff(9535,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9536,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s114, c_n2) | (~node10(s114)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9537,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s114, c_n2) | (~node10(s114))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9536, 9535])).
% 16.07/10.87 tff(9538,plain,
% 16.07/10.87 (~node10(s114)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9537, 249, 9459])).
% 16.07/10.87 tff(9539,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9540,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s114, c_n1) | (~node11(s114)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9541,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s114, c_n1) | (~node11(s114))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9540, 9539])).
% 16.07/10.87 tff(9542,plain,
% 16.07/10.87 (~node11(s114)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9541, 238, 9479])).
% 16.07/10.87 tff(9543,plain,
% 16.07/10.87 (((~![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))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9544,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s114, s115)) | node14(s114, s115))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9545,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s114, s115)) | node14(s114, s115)),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9544, 9543])).
% 16.07/10.87 tff(9546,plain,
% 16.07/10.87 (node14(s114, s115)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9545, 46, 9490])).
% 16.07/10.87 tff(9547,plain,
% 16.07/10.87 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9548,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9549,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9548, 9547])).
% 16.07/10.87 tff(9550,plain,
% 16.07/10.87 (m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9549, 296, 9546])).
% 16.07/10.87 tff(9551,plain,
% 16.07/10.87 (node13(s114, s115)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9550, 9542, 9467, 9538, 9534, 9530, 9526])).
% 16.07/10.87 tff(9552,plain,
% 16.07/10.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9553,plain,
% 16.07/10.87 (((~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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9554,plain,
% 16.07/10.87 (((~![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))))),
% 16.07/10.87 inference(monotonicity,[status(thm)],[9553])).
% 16.07/10.87 tff(9555,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(transitivity,[status(thm)],[9554, 9552])).
% 16.07/10.87 tff(9556,plain,
% 16.07/10.87 ((~![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))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9557,plain,
% 16.07/10.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9556, 9555])).
% 16.07/10.87 tff(9558,plain,
% 16.07/10.87 (m_main_v_state2(s115, c_t2)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9557, 518, 9455, 9551])).
% 16.07/10.87 tff(9559,plain,
% 16.07/10.87 (succ(s115, s116) <=> succ(s115, s116)),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9560,axiom,(succ(s115, s116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound116')).
% 16.07/10.87 tff(9561,plain,
% 16.07/10.87 (succ(s115, s116)),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9560, 9559])).
% 16.07/10.87 tff(9562,plain,
% 16.07/10.87 (((~![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))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9563,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9564,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116)),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 16.07/10.87 tff(9565,plain,
% 16.07/10.87 (trans(s115, s116)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9564, 9561, 32])).
% 16.07/10.87 tff(9566,plain,
% 16.07/10.87 (((~![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))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9567,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s115, s116)) | node7(s115, s116))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9568,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s115, s116)) | node7(s115, s116)),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9567, 9566])).
% 16.07/10.87 tff(9569,plain,
% 16.07/10.87 (node7(s115, s116)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9568, 206, 9565])).
% 16.07/10.87 tff(9570,plain,
% 16.07/10.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9571,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9572,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1)),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9571, 9570])).
% 16.07/10.87 tff(9573,plain,
% 16.07/10.87 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | m_main_v_state1(s116, c_t1)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9572, 651, 9569])).
% 16.07/10.87 tff(9574,plain,
% 16.07/10.87 (m_main_v_state1(s116, c_t1)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9573, 9558, 9502])).
% 16.07/10.87 tff(9575,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9576,plain,
% 16.07/10.87 ((~![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)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9577,plain,
% 16.07/10.87 ((~![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))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9576, 9575])).
% 16.07/10.87 tff(9578,plain,
% 16.07/10.87 (~m_main_v_state1(s116, c_n1)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9577, 10, 9574])).
% 16.07/10.87 tff(9579,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9580,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s116, c_n1) | (~node1(s116)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9581,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s116, c_n1) | (~node1(s116))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 16.07/10.87 tff(9582,plain,
% 16.07/10.87 (~node1(s116)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9581, 421, 9578])).
% 16.07/10.87 tff(9583,plain,
% 16.07/10.87 (((~![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))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9584,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s115, s116)) | node18(s115, s116))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9585,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s115, s116)) | node18(s115, s116)),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9584, 9583])).
% 16.07/10.87 tff(9586,plain,
% 16.07/10.87 (node18(s115, s116)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9585, 125, 9565])).
% 16.07/10.87 tff(9587,plain,
% 16.07/10.87 (((~![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(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))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9588,plain,
% 16.07/10.87 ((~![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(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9589,plain,
% 16.07/10.87 ((~![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(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2)),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9588, 9587])).
% 16.07/10.87 tff(9590,plain,
% 16.07/10.87 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | m_main_v_turn(s116, c_2)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9589, 760, 9586])).
% 16.07/10.87 tff(9591,plain,
% 16.07/10.87 (m_main_v_turn(s116, c_2)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9590, 9558, 9502])).
% 16.07/10.87 tff(9592,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9593,plain,
% 16.07/10.87 ((~![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)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9594,plain,
% 16.07/10.87 ((~![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))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9593, 9592])).
% 16.07/10.87 tff(9595,plain,
% 16.07/10.87 (~m_main_v_turn(s116, c_1)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9594, 156, 9591])).
% 16.07/10.87 tff(9596,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9597,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s116, c_1) | (~node5(s116)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9598,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s116, c_1) | (~node5(s116))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9597, 9596])).
% 16.07/10.87 tff(9599,plain,
% 16.07/10.87 (~node5(s116)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9598, 776, 9595])).
% 16.07/10.87 tff(9600,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9601,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s116, c_n1) | (~node2(s116)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9602,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s116, c_n1) | (~node2(s116))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9601, 9600])).
% 16.07/10.87 tff(9603,plain,
% 16.07/10.87 (~node2(s116)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9602, 787, 9578])).
% 16.07/10.87 tff(9604,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9605,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s116, c_n1) | (~node3(s116)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9606,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s116, c_n1) | (~node3(s116))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9605, 9604])).
% 16.07/10.87 tff(9607,plain,
% 16.07/10.87 (~node3(s116)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9606, 798, 9578])).
% 16.07/10.87 tff(9608,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9609,plain,
% 16.07/10.87 ((~![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)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9610,plain,
% 16.07/10.87 ((~![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))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9609, 9608])).
% 16.07/10.87 tff(9611,plain,
% 16.07/10.87 (~m_main_v_state1(s116, c_c1)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9610, 539, 9574])).
% 16.07/10.87 tff(9612,plain,
% 16.07/10.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9613,plain,
% 16.07/10.87 (((~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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9614,plain,
% 16.07/10.87 (((~![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))))),
% 16.07/10.87 inference(monotonicity,[status(thm)],[9613])).
% 16.07/10.87 tff(9615,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(transitivity,[status(thm)],[9614, 9612])).
% 16.07/10.87 tff(9616,plain,
% 16.07/10.87 ((~![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)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9617,plain,
% 16.07/10.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9616, 9615])).
% 16.07/10.87 tff(9618,plain,
% 16.07/10.87 (~m_main_v_state2(s115, c_n2)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9617, 311, 9459, 9551])).
% 16.07/10.87 tff(9619,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9620,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s115, c_n2) | (~node9(s115)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9621,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s115, c_n2) | (~node9(s115))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9620, 9619])).
% 16.07/10.87 tff(9622,plain,
% 16.07/10.87 (~node9(s115)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9621, 88, 9618])).
% 16.07/10.87 tff(9623,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9624,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s115, c_n2) | (~node10(s115)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9625,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s115, c_n2) | (~node10(s115))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9624, 9623])).
% 16.07/10.87 tff(9626,plain,
% 16.07/10.87 (~node10(s115)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9625, 249, 9618])).
% 16.07/10.87 tff(9627,plain,
% 16.07/10.87 (((~![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)))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9628,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s115, c_n2) | (~node8(s115)))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9629,plain,
% 16.07/10.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s115, c_n2) | (~node8(s115))),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9628, 9627])).
% 16.07/10.87 tff(9630,plain,
% 16.07/10.87 (~node8(s115)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9629, 271, 9618])).
% 16.07/10.87 tff(9631,plain,
% 16.07/10.87 (((~![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))),
% 16.07/10.87 inference(rewrite,[status(thm)],[])).
% 16.07/10.87 tff(9632,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s115, s116)) | node14(s115, s116))),
% 16.07/10.87 inference(quant_inst,[status(thm)],[])).
% 16.07/10.87 tff(9633,plain,
% 16.07/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s115, s116)) | node14(s115, s116)),
% 16.07/10.87 inference(modus_ponens,[status(thm)],[9632, 9631])).
% 16.07/10.87 tff(9634,plain,
% 16.07/10.87 (node14(s115, s116)),
% 16.07/10.87 inference(unit_resolution,[status(thm)],[9633, 46, 9565])).
% 16.07/10.87 tff(9635,plain,
% 16.07/10.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9636,plain,
% 16.07/10.88 ((~![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(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))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9637,plain,
% 16.07/10.88 ((~![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(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)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9636, 9635])).
% 16.07/10.88 tff(9638,plain,
% 16.07/10.88 ((~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)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9637, 617, 9634])).
% 16.07/10.88 tff(9639,plain,
% 16.07/10.88 (m_main_v_state2(s116, c_c2)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9638, 9630, 9502, 9558, 9626, 9622])).
% 16.07/10.88 tff(9640,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9641,plain,
% 16.07/10.88 ((~![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)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9642,plain,
% 16.07/10.88 ((~![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))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9641, 9640])).
% 16.07/10.88 tff(9643,plain,
% 16.07/10.88 (~m_main_v_state2(s116, c_n2)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9642, 697, 9639])).
% 16.07/10.88 tff(9644,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9645,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s116, c_n2) | (~node4(s116)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9646,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s116, c_n2) | (~node4(s116))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9645, 9644])).
% 16.07/10.88 tff(9647,plain,
% 16.07/10.88 (~node4(s116)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9646, 388, 9643])).
% 16.07/10.88 tff(9648,plain,
% 16.07/10.88 (succ(s116, s117) <=> succ(s116, s117)),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9649,axiom,(succ(s116, s117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound117')).
% 16.07/10.88 tff(9650,plain,
% 16.07/10.88 (succ(s116, s117)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9649, 9648])).
% 16.07/10.88 tff(9651,plain,
% 16.07/10.88 (((~![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))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9652,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9653,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 16.07/10.88 tff(9654,plain,
% 16.07/10.88 (trans(s116, s117)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9653, 9650, 32])).
% 16.07/10.88 tff(9655,plain,
% 16.07/10.88 (((~![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))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9656,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s116, s117)) | node7(s116, s117))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9657,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s116, s117)) | node7(s116, s117)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9656, 9655])).
% 16.07/10.88 tff(9658,plain,
% 16.07/10.88 (node7(s116, s117)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9657, 206, 9654])).
% 16.07/10.88 tff(9659,plain,
% 16.07/10.88 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9660,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9661,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9660, 9659])).
% 16.07/10.88 tff(9662,plain,
% 16.07/10.88 (m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9661, 820, 9658])).
% 16.07/10.88 tff(9663,plain,
% 16.07/10.88 (node6(s116, s117)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9662, 9647, 9611, 9607, 9603, 9599, 9582])).
% 16.07/10.88 tff(9664,plain,
% 16.07/10.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9665,plain,
% 16.07/10.88 (((~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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9666,plain,
% 16.07/10.88 (((~![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))))),
% 16.07/10.88 inference(monotonicity,[status(thm)],[9665])).
% 16.07/10.88 tff(9667,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(transitivity,[status(thm)],[9666, 9664])).
% 16.07/10.88 tff(9668,plain,
% 16.07/10.88 ((~![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))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9669,plain,
% 16.07/10.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 16.07/10.88 tff(9670,plain,
% 16.07/10.88 (m_main_v_state1(s117, c_t1)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9669, 856, 9574, 9663])).
% 16.07/10.88 tff(9671,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9672,plain,
% 16.07/10.88 ((~![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)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9673,plain,
% 16.07/10.88 ((~![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))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9672, 9671])).
% 16.07/10.88 tff(9674,plain,
% 16.07/10.88 (~m_main_v_state2(s116, c_t2)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9673, 260, 9639])).
% 16.07/10.88 tff(9675,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9676,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s116, c_t2) | (~node12(s116)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9677,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s116, c_t2) | (~node12(s116))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9676, 9675])).
% 16.07/10.88 tff(9678,plain,
% 16.07/10.88 (~node12(s116)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9677, 633, 9674])).
% 16.07/10.88 tff(9679,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9680,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s116, c_n1) | (~node11(s116)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9681,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s116, c_n1) | (~node11(s116))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9680, 9679])).
% 16.07/10.88 tff(9682,plain,
% 16.07/10.88 (~node11(s116)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9681, 238, 9578])).
% 16.07/10.88 tff(9683,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9684,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s116, c_c1) | (~node10(s116)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9685,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s116, c_c1) | (~node10(s116))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9684, 9683])).
% 16.07/10.88 tff(9686,plain,
% 16.07/10.88 (~node10(s116)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9685, 675, 9611])).
% 16.07/10.88 tff(9687,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9688,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s116, c_n1) | (~node9(s116)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9689,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s116, c_n1) | (~node9(s116))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9688, 9687])).
% 16.07/10.88 tff(9690,plain,
% 16.07/10.88 (~node9(s116)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9689, 686, 9578])).
% 16.07/10.88 tff(9691,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9692,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s116, c_n2) | (~node8(s116)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9693,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s116, c_n2) | (~node8(s116))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9692, 9691])).
% 16.07/10.88 tff(9694,plain,
% 16.07/10.88 (~node8(s116)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9693, 271, 9643])).
% 16.07/10.88 tff(9695,plain,
% 16.07/10.88 (((~![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))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9696,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s116, s117)) | node14(s116, s117))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9697,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s116, s117)) | node14(s116, s117)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9696, 9695])).
% 16.07/10.88 tff(9698,plain,
% 16.07/10.88 (node14(s116, s117)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9697, 46, 9654])).
% 16.07/10.88 tff(9699,plain,
% 16.07/10.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9700,plain,
% 16.07/10.88 (((~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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9701,plain,
% 16.07/10.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.07/10.88 inference(monotonicity,[status(thm)],[9700])).
% 16.07/10.88 tff(9702,plain,
% 16.07/10.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.07/10.88 inference(transitivity,[status(thm)],[9701, 9699])).
% 16.07/10.88 tff(9703,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9704,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9703, 9702])).
% 16.07/10.88 tff(9705,plain,
% 16.07/10.88 (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~m_main_v_state2(s116, c_c2))),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9704, 726, 9698])).
% 16.07/10.88 tff(9706,plain,
% 16.07/10.88 (m_main_v_state2(s117, c_n2)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9705, 9694, 9639, 9690, 9686, 9682, 9678])).
% 16.07/10.88 tff(9707,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9708,plain,
% 16.07/10.88 ((~![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)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9709,plain,
% 16.07/10.88 ((~![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))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9708, 9707])).
% 16.07/10.88 tff(9710,plain,
% 16.07/10.88 (~m_main_v_state2(s117, c_t2)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9709, 77, 9706])).
% 16.07/10.88 tff(9711,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9712,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s117, c_t2) | (~node15(s117)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9713,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s117, c_t2) | (~node15(s117))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9712, 9711])).
% 16.07/10.88 tff(9714,plain,
% 16.07/10.88 (~node15(s117)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9713, 103, 9710])).
% 16.07/10.88 tff(9715,plain,
% 16.07/10.88 (succ(s117, s118) <=> succ(s117, s118)),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9716,axiom,(succ(s117, s118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound118')).
% 16.07/10.88 tff(9717,plain,
% 16.07/10.88 (succ(s117, s118)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9716, 9715])).
% 16.07/10.88 tff(9718,plain,
% 16.07/10.88 (((~![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))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9719,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9720,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9719, 9718])).
% 16.07/10.88 tff(9721,plain,
% 16.07/10.88 (trans(s117, s118)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9720, 9717, 32])).
% 16.07/10.88 tff(9722,plain,
% 16.07/10.88 (((~![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))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9723,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s117, s118)) | node18(s117, s118))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9724,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s117, s118)) | node18(s117, s118)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9723, 9722])).
% 16.07/10.88 tff(9725,plain,
% 16.07/10.88 (node18(s117, s118)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9724, 125, 9721])).
% 16.07/10.88 tff(9726,plain,
% 16.07/10.88 (((~![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(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))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9727,plain,
% 16.07/10.88 (((~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))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9728,plain,
% 16.07/10.88 (((~![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(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)))),
% 16.07/10.88 inference(monotonicity,[status(thm)],[9727])).
% 16.07/10.88 tff(9729,plain,
% 16.07/10.88 (((~![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(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))),
% 16.07/10.88 inference(transitivity,[status(thm)],[9728, 9726])).
% 16.07/10.88 tff(9730,plain,
% 16.07/10.88 ((~![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(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node15(s117) | (~node18(s117, s118)) | m_main_v_turn(s118, c_1))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9731,plain,
% 16.07/10.88 ((~![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(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)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9730, 9729])).
% 16.07/10.88 tff(9732,plain,
% 16.07/10.88 (node15(s117) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9731, 992, 9725])).
% 16.07/10.88 tff(9733,plain,
% 16.07/10.88 (m_main_v_turn(s118, c_1)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9732, 9714, 9706, 9670])).
% 16.07/10.88 tff(9734,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9735,plain,
% 16.07/10.88 ((~![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)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9736,plain,
% 16.07/10.88 ((~![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))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9735, 9734])).
% 16.07/10.88 tff(9737,plain,
% 16.07/10.88 (~m_main_v_turn(s118, c_2)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9736, 156, 9733])).
% 16.07/10.88 tff(9738,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9739,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s118, c_2) | (~node12(s118)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9740,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s118, c_2) | (~node12(s118))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9739, 9738])).
% 16.07/10.88 tff(9741,plain,
% 16.07/10.88 (~node12(s118)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9740, 184, 9737])).
% 16.07/10.88 tff(9742,plain,
% 16.07/10.88 (((~![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))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9743,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s117, s118)) | node14(s117, s118))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9744,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s117, s118)) | node14(s117, s118)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 16.07/10.88 tff(9745,plain,
% 16.07/10.88 (node14(s117, s118)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9744, 46, 9721])).
% 16.07/10.88 tff(9746,plain,
% 16.07/10.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9747,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9748,plain,
% 16.07/10.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2)),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 16.07/10.88 tff(9749,plain,
% 16.07/10.88 ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state2(s118, c_t2)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9748, 922, 9745])).
% 16.07/10.88 tff(9750,plain,
% 16.07/10.88 (m_main_v_state2(s118, c_t2)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9749, 9670, 9706])).
% 16.07/10.88 tff(9751,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9752,plain,
% 16.07/10.88 ((~![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)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9753,plain,
% 16.07/10.88 ((~![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))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9752, 9751])).
% 16.07/10.88 tff(9754,plain,
% 16.07/10.88 (~m_main_v_state2(s118, c_n2)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9753, 77, 9750])).
% 16.07/10.88 tff(9755,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9756,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s118, c_n2) | (~node8(s118)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9757,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s118, c_n2) | (~node8(s118))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9756, 9755])).
% 16.07/10.88 tff(9758,plain,
% 16.07/10.88 (~node8(s118)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9757, 271, 9754])).
% 16.07/10.88 tff(9759,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9760,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s118, c_n2) | (~node9(s118)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9761,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s118, c_n2) | (~node9(s118))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9760, 9759])).
% 16.07/10.88 tff(9762,plain,
% 16.07/10.88 (~node9(s118)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9761, 88, 9754])).
% 16.07/10.88 tff(9763,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.88 inference(rewrite,[status(thm)],[])).
% 16.07/10.88 tff(9764,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s118, c_n2) | (~node10(s118)))),
% 16.07/10.88 inference(quant_inst,[status(thm)],[])).
% 16.07/10.88 tff(9765,plain,
% 16.07/10.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s118, c_n2) | (~node10(s118))),
% 16.07/10.88 inference(modus_ponens,[status(thm)],[9764, 9763])).
% 16.07/10.88 tff(9766,plain,
% 16.07/10.88 (~node10(s118)),
% 16.07/10.88 inference(unit_resolution,[status(thm)],[9765, 249, 9754])).
% 16.07/10.88 tff(9767,plain,
% 16.07/10.88 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9768,plain,
% 16.07/10.89 ((~![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)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9769,plain,
% 16.07/10.89 ((~![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))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9768, 9767])).
% 16.07/10.89 tff(9770,plain,
% 16.07/10.89 (~m_main_v_state2(s118, c_c2)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9769, 260, 9750])).
% 16.07/10.89 tff(9771,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9772,plain,
% 16.07/10.89 ((~![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)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9773,plain,
% 16.07/10.89 ((~![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))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9772, 9771])).
% 16.07/10.89 tff(9774,plain,
% 16.07/10.89 (~m_main_v_state2(s117, c_c2)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9773, 697, 9706])).
% 16.07/10.89 tff(9775,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9776,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s117, c_c2) | (~node3(s117)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9777,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s117, c_c2) | (~node3(s117))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9776, 9775])).
% 16.07/10.89 tff(9778,plain,
% 16.07/10.89 (~node3(s117)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9777, 399, 9774])).
% 16.07/10.89 tff(9779,plain,
% 16.07/10.89 (((~![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(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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9780,plain,
% 16.07/10.89 (((~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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9781,plain,
% 16.07/10.89 (((~![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))))),
% 16.07/10.89 inference(monotonicity,[status(thm)],[9780])).
% 16.07/10.89 tff(9782,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(transitivity,[status(thm)],[9781, 9779])).
% 16.07/10.89 tff(9783,plain,
% 16.07/10.89 ((~![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)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9784,plain,
% 16.07/10.89 ((~![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(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9783, 9782])).
% 16.07/10.89 tff(9785,plain,
% 16.07/10.89 (~m_main_v_state1(s117, c_n1)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9784, 835, 9578, 9663])).
% 16.07/10.89 tff(9786,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9787,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s117, c_n1) | (~node2(s117)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9788,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s117, c_n1) | (~node2(s117))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 16.07/10.89 tff(9789,plain,
% 16.07/10.89 (~node2(s117)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9788, 787, 9785])).
% 16.07/10.89 tff(9790,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9791,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s117, c_t2) | (~node1(s117)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9792,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s117, c_t2) | (~node1(s117))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9791, 9790])).
% 16.07/10.89 tff(9793,plain,
% 16.07/10.89 (~node1(s117)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9792, 195, 9710])).
% 16.07/10.89 tff(9794,plain,
% 16.07/10.89 (((~![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))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9795,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s117, s118)) | node7(s117, s118))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9796,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s117, s118)) | node7(s117, s118)),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9795, 9794])).
% 16.07/10.89 tff(9797,plain,
% 16.07/10.89 (node7(s117, s118)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9796, 206, 9721])).
% 16.07/10.89 tff(9798,plain,
% 16.07/10.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9799,plain,
% 16.07/10.89 (((~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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9800,plain,
% 16.07/10.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.07/10.89 inference(monotonicity,[status(thm)],[9799])).
% 16.07/10.89 tff(9801,plain,
% 16.07/10.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.07/10.89 inference(transitivity,[status(thm)],[9800, 9798])).
% 16.07/10.89 tff(9802,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9803,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9802, 9801])).
% 16.07/10.89 tff(9804,plain,
% 16.07/10.89 ((~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)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9803, 892, 9797])).
% 16.07/10.89 tff(9805,plain,
% 16.07/10.89 (m_main_v_state1(s118, c_c1)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9804, 9793, 9706, 9670, 9789, 9778])).
% 16.07/10.89 tff(9806,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9807,plain,
% 16.07/10.89 ((~![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)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9808,plain,
% 16.07/10.89 ((~![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))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9807, 9806])).
% 16.07/10.89 tff(9809,plain,
% 16.07/10.89 (~m_main_v_state1(s118, c_n1)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9808, 454, 9805])).
% 16.07/10.89 tff(9810,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9811,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s118, c_n1) | (~node11(s118)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9812,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s118, c_n1) | (~node11(s118))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9811, 9810])).
% 16.07/10.89 tff(9813,plain,
% 16.07/10.89 (~node11(s118)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9812, 238, 9809])).
% 16.07/10.89 tff(9814,plain,
% 16.07/10.89 (succ(s118, s119) <=> succ(s118, s119)),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9815,axiom,(succ(s118, s119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound119')).
% 16.07/10.89 tff(9816,plain,
% 16.07/10.89 (succ(s118, s119)),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9815, 9814])).
% 16.07/10.89 tff(9817,plain,
% 16.07/10.89 (((~![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))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9818,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9819,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119)),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9818, 9817])).
% 16.07/10.89 tff(9820,plain,
% 16.07/10.89 (trans(s118, s119)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9819, 9816, 32])).
% 16.07/10.89 tff(9821,plain,
% 16.07/10.89 (((~![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))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9822,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s118, s119)) | node14(s118, s119))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9823,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s118, s119)) | node14(s118, s119)),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9822, 9821])).
% 16.07/10.89 tff(9824,plain,
% 16.07/10.89 (node14(s118, s119)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9823, 46, 9820])).
% 16.07/10.89 tff(9825,plain,
% 16.07/10.89 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9826,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9827,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9826, 9825])).
% 16.07/10.89 tff(9828,plain,
% 16.07/10.89 (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9827, 296, 9824])).
% 16.07/10.89 tff(9829,plain,
% 16.07/10.89 (node13(s118, s119)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9828, 9813, 9770, 9766, 9762, 9758, 9741])).
% 16.07/10.89 tff(9830,plain,
% 16.07/10.89 (((~![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(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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9831,plain,
% 16.07/10.89 (((~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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9832,plain,
% 16.07/10.89 (((~![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))))),
% 16.07/10.89 inference(monotonicity,[status(thm)],[9831])).
% 16.07/10.89 tff(9833,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(transitivity,[status(thm)],[9832, 9830])).
% 16.07/10.89 tff(9834,plain,
% 16.07/10.89 ((~![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)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9835,plain,
% 16.07/10.89 ((~![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(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 16.07/10.89 tff(9836,plain,
% 16.07/10.89 (~m_main_v_state2(s119, c_n2)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9835, 311, 9754, 9829])).
% 16.07/10.89 tff(9837,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9838,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s119, c_n2) | (~node9(s119)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9839,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s119, c_n2) | (~node9(s119))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9838, 9837])).
% 16.07/10.89 tff(9840,plain,
% 16.07/10.89 (~node9(s119)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9839, 88, 9836])).
% 16.07/10.89 tff(9841,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9842,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s119, c_n2) | (~node10(s119)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9843,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s119, c_n2) | (~node10(s119))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9842, 9841])).
% 16.07/10.89 tff(9844,plain,
% 16.07/10.89 (~node10(s119)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9843, 249, 9836])).
% 16.07/10.89 tff(9845,plain,
% 16.07/10.89 (((~![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(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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9846,plain,
% 16.07/10.89 (((~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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9847,plain,
% 16.07/10.89 (((~![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))))),
% 16.07/10.89 inference(monotonicity,[status(thm)],[9846])).
% 16.07/10.89 tff(9848,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(transitivity,[status(thm)],[9847, 9845])).
% 16.07/10.89 tff(9849,plain,
% 16.07/10.89 ((~![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))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9850,plain,
% 16.07/10.89 ((~![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(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9849, 9848])).
% 16.07/10.89 tff(9851,plain,
% 16.07/10.89 (m_main_v_state2(s119, c_t2)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9850, 518, 9750, 9829])).
% 16.07/10.89 tff(9852,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9853,plain,
% 16.07/10.89 ((~![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)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9854,plain,
% 16.07/10.89 ((~![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))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9853, 9852])).
% 16.07/10.89 tff(9855,plain,
% 16.07/10.89 (~m_main_v_state1(s118, c_t1)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9854, 539, 9805])).
% 16.07/10.89 tff(9856,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9857,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s118, c_t1) | (~node5(s118)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9858,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s118, c_t1) | (~node5(s118))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9857, 9856])).
% 16.07/10.89 tff(9859,plain,
% 16.07/10.89 (~node5(s118)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9858, 550, 9855])).
% 16.07/10.89 tff(9860,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9861,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s118, c_n2) | (~node4(s118)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9862,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s118, c_n2) | (~node4(s118))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9861, 9860])).
% 16.07/10.89 tff(9863,plain,
% 16.07/10.89 (~node4(s118)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9862, 388, 9754])).
% 16.07/10.89 tff(9864,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9865,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s118, c_c2) | (~node3(s118)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9866,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s118, c_c2) | (~node3(s118))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9865, 9864])).
% 16.07/10.89 tff(9867,plain,
% 16.07/10.89 (~node3(s118)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9866, 399, 9770])).
% 16.07/10.89 tff(9868,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9869,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s118, c_n2) | (~node2(s118)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9870,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s118, c_n2) | (~node2(s118))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9869, 9868])).
% 16.07/10.89 tff(9871,plain,
% 16.07/10.89 (~node2(s118)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9870, 410, 9754])).
% 16.07/10.89 tff(9872,plain,
% 16.07/10.89 (((~![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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9873,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s118, c_n1) | (~node1(s118)))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9874,plain,
% 16.07/10.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s118, c_n1) | (~node1(s118))),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9873, 9872])).
% 16.07/10.89 tff(9875,plain,
% 16.07/10.89 (~node1(s118)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9874, 421, 9809])).
% 16.07/10.89 tff(9876,plain,
% 16.07/10.89 (((~![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))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9877,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s118, s119)) | node7(s118, s119))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9878,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s118, s119)) | node7(s118, s119)),
% 16.07/10.89 inference(modus_ponens,[status(thm)],[9877, 9876])).
% 16.07/10.89 tff(9879,plain,
% 16.07/10.89 (node7(s118, s119)),
% 16.07/10.89 inference(unit_resolution,[status(thm)],[9878, 206, 9820])).
% 16.07/10.89 tff(9880,plain,
% 16.07/10.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9881,plain,
% 16.07/10.89 (((~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)))),
% 16.07/10.89 inference(rewrite,[status(thm)],[])).
% 16.07/10.89 tff(9882,plain,
% 16.07/10.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 16.07/10.89 inference(monotonicity,[status(thm)],[9881])).
% 16.07/10.89 tff(9883,plain,
% 16.07/10.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 16.07/10.89 inference(transitivity,[status(thm)],[9882, 9880])).
% 16.07/10.89 tff(9884,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)) | m_main_v_state1(s119, c_n1))),
% 16.07/10.89 inference(quant_inst,[status(thm)],[])).
% 16.07/10.89 tff(9885,plain,
% 16.07/10.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9884, 9883])).
% 16.07/10.90 tff(9886,plain,
% 16.07/10.90 (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9885, 584, 9879])).
% 16.07/10.90 tff(9887,plain,
% 16.07/10.90 (m_main_v_state1(s119, c_n1)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9886, 9875, 9805, 9871, 9867, 9863, 9859])).
% 16.07/10.90 tff(9888,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9889,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s119, c_n2) | (~node8(s119)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9890,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s119, c_n2) | (~node8(s119))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9889, 9888])).
% 16.07/10.90 tff(9891,plain,
% 16.07/10.90 (~node8(s119)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9890, 271, 9836])).
% 16.07/10.90 tff(9892,plain,
% 16.07/10.90 (succ(s119, s120) <=> succ(s119, s120)),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9893,axiom,(succ(s119, s120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound120')).
% 16.07/10.90 tff(9894,plain,
% 16.07/10.90 (succ(s119, s120)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9893, 9892])).
% 16.07/10.90 tff(9895,plain,
% 16.07/10.90 (((~![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))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9896,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9897,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9896, 9895])).
% 16.07/10.90 tff(9898,plain,
% 16.07/10.90 (trans(s119, s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9897, 9894, 32])).
% 16.07/10.90 tff(9899,plain,
% 16.07/10.90 (((~![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))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9900,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s119, s120)) | node14(s119, s120))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9901,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s119, s120)) | node14(s119, s120)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9900, 9899])).
% 16.07/10.90 tff(9902,plain,
% 16.07/10.90 (node14(s119, s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9901, 46, 9898])).
% 16.07/10.90 tff(9903,plain,
% 16.07/10.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9904,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9905,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9904, 9903])).
% 16.07/10.90 tff(9906,plain,
% 16.07/10.90 ((~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)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9905, 617, 9902])).
% 16.07/10.90 tff(9907,plain,
% 16.07/10.90 (m_main_v_state2(s120, c_c2)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9906, 9891, 9887, 9851, 9844, 9840])).
% 16.07/10.90 tff(9908,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9909,plain,
% 16.07/10.90 ((~![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)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9910,plain,
% 16.07/10.90 ((~![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))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9909, 9908])).
% 16.07/10.90 tff(9911,plain,
% 16.07/10.90 (~m_main_v_state2(s120, c_t2)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9910, 260, 9907])).
% 16.07/10.90 tff(9912,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9913,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s120, c_t2) | (~node12(s120)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9914,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s120, c_t2) | (~node12(s120))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 16.07/10.90 tff(9915,plain,
% 16.07/10.90 (~node12(s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9914, 633, 9911])).
% 16.07/10.90 tff(9916,plain,
% 16.07/10.90 (((~![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))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9917,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s119, s120)) | node7(s119, s120))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9918,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s119, s120)) | node7(s119, s120)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9917, 9916])).
% 16.07/10.90 tff(9919,plain,
% 16.07/10.90 (node7(s119, s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9918, 206, 9898])).
% 16.07/10.90 tff(9920,plain,
% 16.07/10.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9921,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9922,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 16.07/10.90 tff(9923,plain,
% 16.07/10.90 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | m_main_v_state1(s120, c_t1)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9922, 651, 9919])).
% 16.07/10.90 tff(9924,plain,
% 16.07/10.90 (m_main_v_state1(s120, c_t1)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9923, 9851, 9887])).
% 16.07/10.90 tff(9925,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9926,plain,
% 16.07/10.90 ((~![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)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9927,plain,
% 16.07/10.90 ((~![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))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9926, 9925])).
% 16.07/10.90 tff(9928,plain,
% 16.07/10.90 (~m_main_v_state1(s120, c_n1)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9927, 10, 9924])).
% 16.07/10.90 tff(9929,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9930,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s120, c_n1) | (~node11(s120)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9931,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s120, c_n1) | (~node11(s120))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9930, 9929])).
% 16.07/10.90 tff(9932,plain,
% 16.07/10.90 (~node11(s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9931, 238, 9928])).
% 16.07/10.90 tff(9933,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9934,plain,
% 16.07/10.90 ((~![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)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9935,plain,
% 16.07/10.90 ((~![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))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9934, 9933])).
% 16.07/10.90 tff(9936,plain,
% 16.07/10.90 (~m_main_v_state1(s120, c_c1)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9935, 539, 9924])).
% 16.07/10.90 tff(9937,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9938,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s120, c_c1) | (~node10(s120)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9939,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s120, c_c1) | (~node10(s120))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9938, 9937])).
% 16.07/10.90 tff(9940,plain,
% 16.07/10.90 (~node10(s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9939, 675, 9936])).
% 16.07/10.90 tff(9941,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9942,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s120, c_n1) | (~node9(s120)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9943,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s120, c_n1) | (~node9(s120))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9942, 9941])).
% 16.07/10.90 tff(9944,plain,
% 16.07/10.90 (~node9(s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9943, 686, 9928])).
% 16.07/10.90 tff(9945,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9946,plain,
% 16.07/10.90 ((~![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)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9947,plain,
% 16.07/10.90 ((~![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))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9946, 9945])).
% 16.07/10.90 tff(9948,plain,
% 16.07/10.90 (~m_main_v_state2(s120, c_n2)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9947, 697, 9907])).
% 16.07/10.90 tff(9949,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9950,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s120, c_n2) | (~node8(s120)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9951,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s120, c_n2) | (~node8(s120))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9950, 9949])).
% 16.07/10.90 tff(9952,plain,
% 16.07/10.90 (~node8(s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9951, 271, 9948])).
% 16.07/10.90 tff(9953,plain,
% 16.07/10.90 (succ(s120, s121) <=> succ(s120, s121)),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9954,axiom,(succ(s120, s121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound121')).
% 16.07/10.90 tff(9955,plain,
% 16.07/10.90 (succ(s120, s121)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9954, 9953])).
% 16.07/10.90 tff(9956,plain,
% 16.07/10.90 (((~![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))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9957,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9958,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9957, 9956])).
% 16.07/10.90 tff(9959,plain,
% 16.07/10.90 (trans(s120, s121)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9958, 9955, 32])).
% 16.07/10.90 tff(9960,plain,
% 16.07/10.90 (((~![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))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9961,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s120, s121)) | node14(s120, s121))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9962,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s120, s121)) | node14(s120, s121)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 16.07/10.90 tff(9963,plain,
% 16.07/10.90 (node14(s120, s121)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9962, 46, 9959])).
% 16.07/10.90 tff(9964,plain,
% 16.07/10.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9965,plain,
% 16.07/10.90 (((~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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9966,plain,
% 16.07/10.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.07/10.90 inference(monotonicity,[status(thm)],[9965])).
% 16.07/10.90 tff(9967,plain,
% 16.07/10.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.07/10.90 inference(transitivity,[status(thm)],[9966, 9964])).
% 16.07/10.90 tff(9968,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s120, c_c2)) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | m_main_v_state2(s121, c_n2))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9969,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9968, 9967])).
% 16.07/10.90 tff(9970,plain,
% 16.07/10.90 (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~m_main_v_state2(s120, c_c2))),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9969, 726, 9963])).
% 16.07/10.90 tff(9971,plain,
% 16.07/10.90 (m_main_v_state2(s121, c_n2)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9970, 9952, 9907, 9944, 9940, 9932, 9915])).
% 16.07/10.90 tff(9972,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9973,plain,
% 16.07/10.90 ((~![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)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9974,plain,
% 16.07/10.90 ((~![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))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9973, 9972])).
% 16.07/10.90 tff(9975,plain,
% 16.07/10.90 (~m_main_v_state2(s121, c_c2)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9974, 697, 9971])).
% 16.07/10.90 tff(9976,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9977,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s121, c_c2) | (~node3(s121)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9978,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s121, c_c2) | (~node3(s121))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9977, 9976])).
% 16.07/10.90 tff(9979,plain,
% 16.07/10.90 (~node3(s121)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9978, 399, 9975])).
% 16.07/10.90 tff(9980,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9981,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s120, c_n1) | (~node1(s120)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9982,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s120, c_n1) | (~node1(s120))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9981, 9980])).
% 16.07/10.90 tff(9983,plain,
% 16.07/10.90 (~node1(s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9982, 421, 9928])).
% 16.07/10.90 tff(9984,plain,
% 16.07/10.90 (((~![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))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9985,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s119, s120)) | node18(s119, s120))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9986,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s119, s120)) | node18(s119, s120)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9985, 9984])).
% 16.07/10.90 tff(9987,plain,
% 16.07/10.90 (node18(s119, s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9986, 125, 9898])).
% 16.07/10.90 tff(9988,plain,
% 16.07/10.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9989,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9990,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9989, 9988])).
% 16.07/10.90 tff(9991,plain,
% 16.07/10.90 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | m_main_v_turn(s120, c_2)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9990, 760, 9987])).
% 16.07/10.90 tff(9992,plain,
% 16.07/10.90 (m_main_v_turn(s120, c_2)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9991, 9851, 9887])).
% 16.07/10.90 tff(9993,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9994,plain,
% 16.07/10.90 ((~![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)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9995,plain,
% 16.07/10.90 ((~![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))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9994, 9993])).
% 16.07/10.90 tff(9996,plain,
% 16.07/10.90 (~m_main_v_turn(s120, c_1)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9995, 156, 9992])).
% 16.07/10.90 tff(9997,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(9998,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s120, c_1) | (~node5(s120)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(9999,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s120, c_1) | (~node5(s120))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[9998, 9997])).
% 16.07/10.90 tff(10000,plain,
% 16.07/10.90 (~node5(s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[9999, 776, 9996])).
% 16.07/10.90 tff(10001,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(10002,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s120, c_n1) | (~node2(s120)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(10003,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s120, c_n1) | (~node2(s120))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[10002, 10001])).
% 16.07/10.90 tff(10004,plain,
% 16.07/10.90 (~node2(s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[10003, 787, 9928])).
% 16.07/10.90 tff(10005,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(10006,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s120, c_n1) | (~node3(s120)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(10007,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s120, c_n1) | (~node3(s120))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[10006, 10005])).
% 16.07/10.90 tff(10008,plain,
% 16.07/10.90 (~node3(s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[10007, 798, 9928])).
% 16.07/10.90 tff(10009,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(10010,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s120, c_n2) | (~node4(s120)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(10011,plain,
% 16.07/10.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s120, c_n2) | (~node4(s120))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[10010, 10009])).
% 16.07/10.90 tff(10012,plain,
% 16.07/10.90 (~node4(s120)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[10011, 388, 9948])).
% 16.07/10.90 tff(10013,plain,
% 16.07/10.90 (((~![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))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(10014,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s120, s121)) | node7(s120, s121))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(10015,plain,
% 16.07/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s120, s121)) | node7(s120, s121)),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[10014, 10013])).
% 16.07/10.90 tff(10016,plain,
% 16.07/10.90 (node7(s120, s121)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[10015, 206, 9959])).
% 16.07/10.90 tff(10017,plain,
% 16.07/10.90 (((~![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(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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(10018,plain,
% 16.07/10.90 ((~![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(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(10019,plain,
% 16.07/10.90 ((~![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(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[10018, 10017])).
% 16.07/10.90 tff(10020,plain,
% 16.07/10.90 (m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[10019, 820, 10016])).
% 16.07/10.90 tff(10021,plain,
% 16.07/10.90 (node6(s120, s121)),
% 16.07/10.90 inference(unit_resolution,[status(thm)],[10020, 10012, 9936, 10008, 10004, 10000, 9983])).
% 16.07/10.90 tff(10022,plain,
% 16.07/10.90 (((~![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(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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(10023,plain,
% 16.07/10.90 (((~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)))),
% 16.07/10.90 inference(rewrite,[status(thm)],[])).
% 16.07/10.90 tff(10024,plain,
% 16.07/10.90 (((~![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))))),
% 16.07/10.90 inference(monotonicity,[status(thm)],[10023])).
% 16.07/10.90 tff(10025,plain,
% 16.07/10.90 (((~![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)))),
% 16.07/10.90 inference(transitivity,[status(thm)],[10024, 10022])).
% 16.07/10.90 tff(10026,plain,
% 16.07/10.90 ((~![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)))),
% 16.07/10.90 inference(quant_inst,[status(thm)],[])).
% 16.07/10.90 tff(10027,plain,
% 16.07/10.90 ((~![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(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121))),
% 16.07/10.90 inference(modus_ponens,[status(thm)],[10026, 10025])).
% 16.07/10.90 tff(10028,plain,
% 16.07/10.90 (~m_main_v_state1(s121, c_n1)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10027, 835, 9928, 10021])).
% 16.07/10.91 tff(10029,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10030,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s121, c_n1) | (~node2(s121)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10031,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s121, c_n1) | (~node2(s121))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10030, 10029])).
% 16.07/10.91 tff(10032,plain,
% 16.07/10.91 (~node2(s121)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10031, 787, 10028])).
% 16.07/10.91 tff(10033,plain,
% 16.07/10.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10034,plain,
% 16.07/10.91 (((~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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10035,plain,
% 16.07/10.91 (((~![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))))),
% 16.07/10.91 inference(monotonicity,[status(thm)],[10034])).
% 16.07/10.91 tff(10036,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(transitivity,[status(thm)],[10035, 10033])).
% 16.07/10.91 tff(10037,plain,
% 16.07/10.91 ((~![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))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10038,plain,
% 16.07/10.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10037, 10036])).
% 16.07/10.91 tff(10039,plain,
% 16.07/10.91 (m_main_v_state1(s121, c_t1)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10038, 856, 9924, 10021])).
% 16.07/10.91 tff(10040,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10041,plain,
% 16.07/10.91 ((~![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)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10042,plain,
% 16.07/10.91 ((~![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))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10041, 10040])).
% 16.07/10.91 tff(10043,plain,
% 16.07/10.91 (~m_main_v_state2(s121, c_t2)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10042, 77, 9971])).
% 16.07/10.91 tff(10044,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10045,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s121, c_t2) | (~node1(s121)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10046,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s121, c_t2) | (~node1(s121))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10045, 10044])).
% 16.07/10.91 tff(10047,plain,
% 16.07/10.91 (~node1(s121)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10046, 195, 10043])).
% 16.07/10.91 tff(10048,plain,
% 16.07/10.91 (succ(s121, s122) <=> succ(s121, s122)),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10049,axiom,(succ(s121, s122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound122')).
% 16.07/10.91 tff(10050,plain,
% 16.07/10.91 (succ(s121, s122)),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10049, 10048])).
% 16.07/10.91 tff(10051,plain,
% 16.07/10.91 (((~![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))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10052,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10053,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122)),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10052, 10051])).
% 16.07/10.91 tff(10054,plain,
% 16.07/10.91 (trans(s121, s122)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10053, 10050, 32])).
% 16.07/10.91 tff(10055,plain,
% 16.07/10.91 (((~![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))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10056,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s121, s122)) | node7(s121, s122))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10057,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s121, s122)) | node7(s121, s122)),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 16.07/10.91 tff(10058,plain,
% 16.07/10.91 (node7(s121, s122)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10057, 206, 10054])).
% 16.07/10.91 tff(10059,plain,
% 16.07/10.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10060,plain,
% 16.07/10.91 (((~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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10061,plain,
% 16.07/10.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.07/10.91 inference(monotonicity,[status(thm)],[10060])).
% 16.07/10.91 tff(10062,plain,
% 16.07/10.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.07/10.91 inference(transitivity,[status(thm)],[10061, 10059])).
% 16.07/10.91 tff(10063,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10064,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10063, 10062])).
% 16.07/10.91 tff(10065,plain,
% 16.07/10.91 ((~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)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10064, 892, 10058])).
% 16.07/10.91 tff(10066,plain,
% 16.07/10.91 (m_main_v_state1(s122, c_c1)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10065, 10047, 9971, 10039, 10032, 9979])).
% 16.07/10.91 tff(10067,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10068,plain,
% 16.07/10.91 ((~![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)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10069,plain,
% 16.07/10.91 ((~![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))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10068, 10067])).
% 16.07/10.91 tff(10070,plain,
% 16.07/10.91 (~m_main_v_state1(s122, c_t1)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10069, 539, 10066])).
% 16.07/10.91 tff(10071,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10072,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s122, c_t1) | (~node5(s122)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10073,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s122, c_t1) | (~node5(s122))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10072, 10071])).
% 16.07/10.91 tff(10074,plain,
% 16.07/10.91 (~node5(s122)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10073, 550, 10070])).
% 16.07/10.91 tff(10075,plain,
% 16.07/10.91 (((~![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))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10076,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s121, s122)) | node14(s121, s122))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10077,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s121, s122)) | node14(s121, s122)),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10076, 10075])).
% 16.07/10.91 tff(10078,plain,
% 16.07/10.91 (node14(s121, s122)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10077, 46, 10054])).
% 16.07/10.91 tff(10079,plain,
% 16.07/10.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10080,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10081,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2)),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10080, 10079])).
% 16.07/10.91 tff(10082,plain,
% 16.07/10.91 ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state2(s122, c_t2)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10081, 922, 10078])).
% 16.07/10.91 tff(10083,plain,
% 16.07/10.91 (m_main_v_state2(s122, c_t2)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10082, 10039, 9971])).
% 16.07/10.91 tff(10084,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10085,plain,
% 16.07/10.91 ((~![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)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10086,plain,
% 16.07/10.91 ((~![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))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 16.07/10.91 tff(10087,plain,
% 16.07/10.91 (~m_main_v_state2(s122, c_n2)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10086, 77, 10083])).
% 16.07/10.91 tff(10088,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10089,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s122, c_n2) | (~node4(s122)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10090,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s122, c_n2) | (~node4(s122))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10089, 10088])).
% 16.07/10.91 tff(10091,plain,
% 16.07/10.91 (~node4(s122)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10090, 388, 10087])).
% 16.07/10.91 tff(10092,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10093,plain,
% 16.07/10.91 ((~![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)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10094,plain,
% 16.07/10.91 ((~![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))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10093, 10092])).
% 16.07/10.91 tff(10095,plain,
% 16.07/10.91 (~m_main_v_state2(s122, c_c2)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10094, 260, 10083])).
% 16.07/10.91 tff(10096,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10097,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s122, c_c2) | (~node3(s122)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10098,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s122, c_c2) | (~node3(s122))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10097, 10096])).
% 16.07/10.91 tff(10099,plain,
% 16.07/10.91 (~node3(s122)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10098, 399, 10095])).
% 16.07/10.91 tff(10100,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10101,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s122, c_n2) | (~node2(s122)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10102,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s122, c_n2) | (~node2(s122))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10101, 10100])).
% 16.07/10.91 tff(10103,plain,
% 16.07/10.91 (~node2(s122)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10102, 410, 10087])).
% 16.07/10.91 tff(10104,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10105,plain,
% 16.07/10.91 ((~![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)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10106,plain,
% 16.07/10.91 ((~![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))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10105, 10104])).
% 16.07/10.91 tff(10107,plain,
% 16.07/10.91 (~m_main_v_state1(s122, c_n1)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10106, 454, 10066])).
% 16.07/10.91 tff(10108,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10109,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s122, c_n1) | (~node1(s122)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10110,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s122, c_n1) | (~node1(s122))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10109, 10108])).
% 16.07/10.91 tff(10111,plain,
% 16.07/10.91 (~node1(s122)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10110, 421, 10107])).
% 16.07/10.91 tff(10112,plain,
% 16.07/10.91 (succ(s122, s123) <=> succ(s122, s123)),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10113,axiom,(succ(s122, s123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound123')).
% 16.07/10.91 tff(10114,plain,
% 16.07/10.91 (succ(s122, s123)),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10113, 10112])).
% 16.07/10.91 tff(10115,plain,
% 16.07/10.91 (((~![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))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10116,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10117,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123)),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 16.07/10.91 tff(10118,plain,
% 16.07/10.91 (trans(s122, s123)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10117, 10114, 32])).
% 16.07/10.91 tff(10119,plain,
% 16.07/10.91 (((~![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))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10120,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s122, s123)) | node7(s122, s123))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10121,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s122, s123)) | node7(s122, s123)),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10120, 10119])).
% 16.07/10.91 tff(10122,plain,
% 16.07/10.91 (node7(s122, s123)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10121, 206, 10118])).
% 16.07/10.91 tff(10123,plain,
% 16.07/10.91 (((~![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(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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10124,plain,
% 16.07/10.91 (((~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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10125,plain,
% 16.07/10.91 (((~![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(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))))),
% 16.07/10.91 inference(monotonicity,[status(thm)],[10124])).
% 16.07/10.91 tff(10126,plain,
% 16.07/10.91 (((~![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(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)))),
% 16.07/10.91 inference(transitivity,[status(thm)],[10125, 10123])).
% 16.07/10.91 tff(10127,plain,
% 16.07/10.91 ((~![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(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)) | m_main_v_state1(s123, c_n1))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10128,plain,
% 16.07/10.91 ((~![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(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10127, 10126])).
% 16.07/10.91 tff(10129,plain,
% 16.07/10.91 (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10128, 584, 10122])).
% 16.07/10.91 tff(10130,plain,
% 16.07/10.91 (m_main_v_state1(s123, c_n1)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10129, 10111, 10066, 10103, 10099, 10091, 10074])).
% 16.07/10.91 tff(10131,plain,
% 16.07/10.91 (((~![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)))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10132,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s121, c_t2) | (~node15(s121)))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10133,plain,
% 16.07/10.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s121, c_t2) | (~node15(s121))),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10132, 10131])).
% 16.07/10.91 tff(10134,plain,
% 16.07/10.91 (~node15(s121)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10133, 103, 10043])).
% 16.07/10.91 tff(10135,plain,
% 16.07/10.91 (((~![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))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10136,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s121, s122)) | node18(s121, s122))),
% 16.07/10.91 inference(quant_inst,[status(thm)],[])).
% 16.07/10.91 tff(10137,plain,
% 16.07/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s121, s122)) | node18(s121, s122)),
% 16.07/10.91 inference(modus_ponens,[status(thm)],[10136, 10135])).
% 16.07/10.91 tff(10138,plain,
% 16.07/10.91 (node18(s121, s122)),
% 16.07/10.91 inference(unit_resolution,[status(thm)],[10137, 125, 10054])).
% 16.07/10.91 tff(10139,plain,
% 16.07/10.91 (((~![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(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))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10140,plain,
% 16.07/10.91 (((~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))),
% 16.07/10.91 inference(rewrite,[status(thm)],[])).
% 16.07/10.91 tff(10141,plain,
% 16.07/10.91 (((~![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(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)))),
% 16.07/10.91 inference(monotonicity,[status(thm)],[10140])).
% 16.07/10.91 tff(10142,plain,
% 16.07/10.91 (((~![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(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))),
% 16.07/10.92 inference(transitivity,[status(thm)],[10141, 10139])).
% 16.07/10.92 tff(10143,plain,
% 16.07/10.92 ((~![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(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node15(s121) | (~node18(s121, s122)) | m_main_v_turn(s122, c_1))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10144,plain,
% 16.07/10.92 ((~![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(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)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10143, 10142])).
% 16.07/10.92 tff(10145,plain,
% 16.07/10.92 (node15(s121) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10144, 992, 10138])).
% 16.07/10.92 tff(10146,plain,
% 16.07/10.92 (m_main_v_turn(s122, c_1)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10145, 10134, 9971, 10039])).
% 16.07/10.92 tff(10147,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10148,plain,
% 16.07/10.92 ((~![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)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10149,plain,
% 16.07/10.92 ((~![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))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10148, 10147])).
% 16.07/10.92 tff(10150,plain,
% 16.07/10.92 (~m_main_v_turn(s122, c_2)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10149, 156, 10146])).
% 16.07/10.92 tff(10151,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10152,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s122, c_2) | (~node12(s122)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10153,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s122, c_2) | (~node12(s122))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10152, 10151])).
% 16.07/10.92 tff(10154,plain,
% 16.07/10.92 (~node12(s122)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10153, 184, 10150])).
% 16.07/10.92 tff(10155,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10156,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s122, c_n2) | (~node8(s122)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10157,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s122, c_n2) | (~node8(s122))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10156, 10155])).
% 16.07/10.92 tff(10158,plain,
% 16.07/10.92 (~node8(s122)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10157, 271, 10087])).
% 16.07/10.92 tff(10159,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10160,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s122, c_n2) | (~node9(s122)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10161,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s122, c_n2) | (~node9(s122))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10160, 10159])).
% 16.07/10.92 tff(10162,plain,
% 16.07/10.92 (~node9(s122)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10161, 88, 10087])).
% 16.07/10.92 tff(10163,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10164,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s122, c_n2) | (~node10(s122)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10165,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s122, c_n2) | (~node10(s122))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10164, 10163])).
% 16.07/10.92 tff(10166,plain,
% 16.07/10.92 (~node10(s122)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10165, 249, 10087])).
% 16.07/10.92 tff(10167,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10168,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s122, c_n1) | (~node11(s122)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10169,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s122, c_n1) | (~node11(s122))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10168, 10167])).
% 16.07/10.92 tff(10170,plain,
% 16.07/10.92 (~node11(s122)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10169, 238, 10107])).
% 16.07/10.92 tff(10171,plain,
% 16.07/10.92 (((~![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))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10172,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s122, s123)) | node14(s122, s123))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10173,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s122, s123)) | node14(s122, s123)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10172, 10171])).
% 16.07/10.92 tff(10174,plain,
% 16.07/10.92 (node14(s122, s123)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10173, 46, 10118])).
% 16.07/10.92 tff(10175,plain,
% 16.07/10.92 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10176,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10177,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10176, 10175])).
% 16.07/10.92 tff(10178,plain,
% 16.07/10.92 (m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10177, 296, 10174])).
% 16.07/10.92 tff(10179,plain,
% 16.07/10.92 (node13(s122, s123)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10178, 10170, 10095, 10166, 10162, 10158, 10154])).
% 16.07/10.92 tff(10180,plain,
% 16.07/10.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10181,plain,
% 16.07/10.92 (((~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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10182,plain,
% 16.07/10.92 (((~![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))))),
% 16.07/10.92 inference(monotonicity,[status(thm)],[10181])).
% 16.07/10.92 tff(10183,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(transitivity,[status(thm)],[10182, 10180])).
% 16.07/10.92 tff(10184,plain,
% 16.07/10.92 ((~![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))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10185,plain,
% 16.07/10.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10184, 10183])).
% 16.07/10.92 tff(10186,plain,
% 16.07/10.92 (m_main_v_state2(s123, c_t2)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10185, 518, 10083, 10179])).
% 16.07/10.92 tff(10187,plain,
% 16.07/10.92 (succ(s123, s124) <=> succ(s123, s124)),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10188,axiom,(succ(s123, s124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound124')).
% 16.07/10.92 tff(10189,plain,
% 16.07/10.92 (succ(s123, s124)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10188, 10187])).
% 16.07/10.92 tff(10190,plain,
% 16.07/10.92 (((~![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))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10191,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10192,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10191, 10190])).
% 16.07/10.92 tff(10193,plain,
% 16.07/10.92 (trans(s123, s124)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10192, 10189, 32])).
% 16.07/10.92 tff(10194,plain,
% 16.07/10.92 (((~![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))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10195,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s123, s124)) | node7(s123, s124))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10196,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s123, s124)) | node7(s123, s124)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10195, 10194])).
% 16.07/10.92 tff(10197,plain,
% 16.07/10.92 (node7(s123, s124)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10196, 206, 10193])).
% 16.07/10.92 tff(10198,plain,
% 16.07/10.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10199,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10200,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10199, 10198])).
% 16.07/10.92 tff(10201,plain,
% 16.07/10.92 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | m_main_v_state1(s124, c_t1)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10200, 651, 10197])).
% 16.07/10.92 tff(10202,plain,
% 16.07/10.92 (m_main_v_state1(s124, c_t1)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10201, 10186, 10130])).
% 16.07/10.92 tff(10203,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10204,plain,
% 16.07/10.92 ((~![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)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10205,plain,
% 16.07/10.92 ((~![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))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10204, 10203])).
% 16.07/10.92 tff(10206,plain,
% 16.07/10.92 (~m_main_v_state1(s124, c_n1)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10205, 10, 10202])).
% 16.07/10.92 tff(10207,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10208,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s124, c_n1) | (~node1(s124)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10209,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s124, c_n1) | (~node1(s124))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10208, 10207])).
% 16.07/10.92 tff(10210,plain,
% 16.07/10.92 (~node1(s124)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10209, 421, 10206])).
% 16.07/10.92 tff(10211,plain,
% 16.07/10.92 (((~![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))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10212,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s123, s124)) | node18(s123, s124))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10213,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s123, s124)) | node18(s123, s124)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10212, 10211])).
% 16.07/10.92 tff(10214,plain,
% 16.07/10.92 (node18(s123, s124)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10213, 125, 10193])).
% 16.07/10.92 tff(10215,plain,
% 16.07/10.92 (((~![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(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))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10216,plain,
% 16.07/10.92 ((~![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(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10217,plain,
% 16.07/10.92 ((~![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(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10216, 10215])).
% 16.07/10.92 tff(10218,plain,
% 16.07/10.92 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | m_main_v_turn(s124, c_2)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10217, 760, 10214])).
% 16.07/10.92 tff(10219,plain,
% 16.07/10.92 (m_main_v_turn(s124, c_2)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10218, 10186, 10130])).
% 16.07/10.92 tff(10220,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10221,plain,
% 16.07/10.92 ((~![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)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10222,plain,
% 16.07/10.92 ((~![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))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10221, 10220])).
% 16.07/10.92 tff(10223,plain,
% 16.07/10.92 (~m_main_v_turn(s124, c_1)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10222, 156, 10219])).
% 16.07/10.92 tff(10224,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10225,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s124, c_1) | (~node5(s124)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10226,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s124, c_1) | (~node5(s124))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10225, 10224])).
% 16.07/10.92 tff(10227,plain,
% 16.07/10.92 (~node5(s124)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10226, 776, 10223])).
% 16.07/10.92 tff(10228,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10229,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s124, c_n1) | (~node2(s124)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10230,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s124, c_n1) | (~node2(s124))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10229, 10228])).
% 16.07/10.92 tff(10231,plain,
% 16.07/10.92 (~node2(s124)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10230, 787, 10206])).
% 16.07/10.92 tff(10232,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10233,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s124, c_n1) | (~node3(s124)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10234,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s124, c_n1) | (~node3(s124))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10233, 10232])).
% 16.07/10.92 tff(10235,plain,
% 16.07/10.92 (~node3(s124)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10234, 798, 10206])).
% 16.07/10.92 tff(10236,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10237,plain,
% 16.07/10.92 ((~![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)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10238,plain,
% 16.07/10.92 ((~![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))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10237, 10236])).
% 16.07/10.92 tff(10239,plain,
% 16.07/10.92 (~m_main_v_state1(s124, c_c1)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10238, 539, 10202])).
% 16.07/10.92 tff(10240,plain,
% 16.07/10.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10241,plain,
% 16.07/10.92 (((~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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10242,plain,
% 16.07/10.92 (((~![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))))),
% 16.07/10.92 inference(monotonicity,[status(thm)],[10241])).
% 16.07/10.92 tff(10243,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(transitivity,[status(thm)],[10242, 10240])).
% 16.07/10.92 tff(10244,plain,
% 16.07/10.92 ((~![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)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10245,plain,
% 16.07/10.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10244, 10243])).
% 16.07/10.92 tff(10246,plain,
% 16.07/10.92 (~m_main_v_state2(s123, c_n2)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10245, 311, 10087, 10179])).
% 16.07/10.92 tff(10247,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10248,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s123, c_n2) | (~node9(s123)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10249,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s123, c_n2) | (~node9(s123))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10248, 10247])).
% 16.07/10.92 tff(10250,plain,
% 16.07/10.92 (~node9(s123)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10249, 88, 10246])).
% 16.07/10.92 tff(10251,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10252,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s123, c_n2) | (~node10(s123)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10253,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s123, c_n2) | (~node10(s123))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10252, 10251])).
% 16.07/10.92 tff(10254,plain,
% 16.07/10.92 (~node10(s123)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10253, 249, 10246])).
% 16.07/10.92 tff(10255,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10256,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s123, c_n2) | (~node8(s123)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10257,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s123, c_n2) | (~node8(s123))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10256, 10255])).
% 16.07/10.92 tff(10258,plain,
% 16.07/10.92 (~node8(s123)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10257, 271, 10246])).
% 16.07/10.92 tff(10259,plain,
% 16.07/10.92 (((~![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))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10260,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s123, s124)) | node14(s123, s124))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10261,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s123, s124)) | node14(s123, s124)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10260, 10259])).
% 16.07/10.92 tff(10262,plain,
% 16.07/10.92 (node14(s123, s124)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10261, 46, 10193])).
% 16.07/10.92 tff(10263,plain,
% 16.07/10.92 (((~![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(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))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10264,plain,
% 16.07/10.92 ((~![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(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))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10265,plain,
% 16.07/10.92 ((~![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(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)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10264, 10263])).
% 16.07/10.92 tff(10266,plain,
% 16.07/10.92 ((~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)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10265, 617, 10262])).
% 16.07/10.92 tff(10267,plain,
% 16.07/10.92 (m_main_v_state2(s124, c_c2)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10266, 10258, 10130, 10186, 10254, 10250])).
% 16.07/10.92 tff(10268,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10269,plain,
% 16.07/10.92 ((~![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)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10270,plain,
% 16.07/10.92 ((~![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))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10269, 10268])).
% 16.07/10.92 tff(10271,plain,
% 16.07/10.92 (~m_main_v_state2(s124, c_n2)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10270, 697, 10267])).
% 16.07/10.92 tff(10272,plain,
% 16.07/10.92 (((~![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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10273,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s124, c_n2) | (~node4(s124)))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10274,plain,
% 16.07/10.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s124, c_n2) | (~node4(s124))),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10273, 10272])).
% 16.07/10.92 tff(10275,plain,
% 16.07/10.92 (~node4(s124)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10274, 388, 10271])).
% 16.07/10.92 tff(10276,plain,
% 16.07/10.92 (succ(s124, s125) <=> succ(s124, s125)),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10277,axiom,(succ(s124, s125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound125')).
% 16.07/10.92 tff(10278,plain,
% 16.07/10.92 (succ(s124, s125)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10277, 10276])).
% 16.07/10.92 tff(10279,plain,
% 16.07/10.92 (((~![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))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10280,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10281,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10280, 10279])).
% 16.07/10.92 tff(10282,plain,
% 16.07/10.92 (trans(s124, s125)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10281, 10278, 32])).
% 16.07/10.92 tff(10283,plain,
% 16.07/10.92 (((~![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))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10284,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s124, s125)) | node7(s124, s125))),
% 16.07/10.92 inference(quant_inst,[status(thm)],[])).
% 16.07/10.92 tff(10285,plain,
% 16.07/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s124, s125)) | node7(s124, s125)),
% 16.07/10.92 inference(modus_ponens,[status(thm)],[10284, 10283])).
% 16.07/10.92 tff(10286,plain,
% 16.07/10.92 (node7(s124, s125)),
% 16.07/10.92 inference(unit_resolution,[status(thm)],[10285, 206, 10282])).
% 16.07/10.92 tff(10287,plain,
% 16.07/10.92 (((~![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(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)))),
% 16.07/10.92 inference(rewrite,[status(thm)],[])).
% 16.07/10.92 tff(10288,plain,
% 16.07/10.92 ((~![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(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10289,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10288, 10287])).
% 16.07/10.93 tff(10290,plain,
% 16.07/10.93 (m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10289, 820, 10286])).
% 16.07/10.93 tff(10291,plain,
% 16.07/10.93 (node6(s124, s125)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10290, 10275, 10239, 10235, 10231, 10227, 10210])).
% 16.07/10.93 tff(10292,plain,
% 16.07/10.93 (((~![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(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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10293,plain,
% 16.07/10.93 (((~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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10294,plain,
% 16.07/10.93 (((~![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))))),
% 16.07/10.93 inference(monotonicity,[status(thm)],[10293])).
% 16.07/10.93 tff(10295,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(transitivity,[status(thm)],[10294, 10292])).
% 16.07/10.93 tff(10296,plain,
% 16.07/10.93 ((~![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))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10297,plain,
% 16.07/10.93 ((~![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(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10296, 10295])).
% 16.07/10.93 tff(10298,plain,
% 16.07/10.93 (m_main_v_state1(s125, c_t1)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10297, 856, 10202, 10291])).
% 16.07/10.93 tff(10299,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10300,plain,
% 16.07/10.93 ((~![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)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10301,plain,
% 16.07/10.93 ((~![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))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10300, 10299])).
% 16.07/10.93 tff(10302,plain,
% 16.07/10.93 (~m_main_v_state2(s124, c_t2)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10301, 260, 10267])).
% 16.07/10.93 tff(10303,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10304,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s124, c_t2) | (~node12(s124)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10305,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s124, c_t2) | (~node12(s124))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10304, 10303])).
% 16.07/10.93 tff(10306,plain,
% 16.07/10.93 (~node12(s124)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10305, 633, 10302])).
% 16.07/10.93 tff(10307,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10308,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s124, c_n1) | (~node11(s124)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10309,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s124, c_n1) | (~node11(s124))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10308, 10307])).
% 16.07/10.93 tff(10310,plain,
% 16.07/10.93 (~node11(s124)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10309, 238, 10206])).
% 16.07/10.93 tff(10311,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10312,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s124, c_c1) | (~node10(s124)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10313,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s124, c_c1) | (~node10(s124))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10312, 10311])).
% 16.07/10.93 tff(10314,plain,
% 16.07/10.93 (~node10(s124)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10313, 675, 10239])).
% 16.07/10.93 tff(10315,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10316,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s124, c_n1) | (~node9(s124)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10317,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s124, c_n1) | (~node9(s124))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10316, 10315])).
% 16.07/10.93 tff(10318,plain,
% 16.07/10.93 (~node9(s124)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10317, 686, 10206])).
% 16.07/10.93 tff(10319,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10320,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s124, c_n2) | (~node8(s124)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10321,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s124, c_n2) | (~node8(s124))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10320, 10319])).
% 16.07/10.93 tff(10322,plain,
% 16.07/10.93 (~node8(s124)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10321, 271, 10271])).
% 16.07/10.93 tff(10323,plain,
% 16.07/10.93 (((~![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))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10324,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s124, s125)) | node14(s124, s125))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10325,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s124, s125)) | node14(s124, s125)),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10324, 10323])).
% 16.07/10.93 tff(10326,plain,
% 16.07/10.93 (node14(s124, s125)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10325, 46, 10282])).
% 16.07/10.93 tff(10327,plain,
% 16.07/10.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10328,plain,
% 16.07/10.93 (((~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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10329,plain,
% 16.07/10.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.07/10.93 inference(monotonicity,[status(thm)],[10328])).
% 16.07/10.93 tff(10330,plain,
% 16.07/10.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.07/10.93 inference(transitivity,[status(thm)],[10329, 10327])).
% 16.07/10.93 tff(10331,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s124, c_c2)) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | m_main_v_state2(s125, c_n2))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10332,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10331, 10330])).
% 16.07/10.93 tff(10333,plain,
% 16.07/10.93 (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~m_main_v_state2(s124, c_c2))),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10332, 726, 10326])).
% 16.07/10.93 tff(10334,plain,
% 16.07/10.93 (m_main_v_state2(s125, c_n2)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10333, 10322, 10267, 10318, 10314, 10310, 10306])).
% 16.07/10.93 tff(10335,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10336,plain,
% 16.07/10.93 ((~![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)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10337,plain,
% 16.07/10.93 ((~![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))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10336, 10335])).
% 16.07/10.93 tff(10338,plain,
% 16.07/10.93 (~m_main_v_state2(s125, c_t2)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10337, 77, 10334])).
% 16.07/10.93 tff(10339,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10340,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s125, c_t2) | (~node15(s125)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10341,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s125, c_t2) | (~node15(s125))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10340, 10339])).
% 16.07/10.93 tff(10342,plain,
% 16.07/10.93 (~node15(s125)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10341, 103, 10338])).
% 16.07/10.93 tff(10343,plain,
% 16.07/10.93 (succ(s125, s126) <=> succ(s125, s126)),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10344,axiom,(succ(s125, s126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound126')).
% 16.07/10.93 tff(10345,plain,
% 16.07/10.93 (succ(s125, s126)),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10344, 10343])).
% 16.07/10.93 tff(10346,plain,
% 16.07/10.93 (((~![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))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10347,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10348,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126)),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10347, 10346])).
% 16.07/10.93 tff(10349,plain,
% 16.07/10.93 (trans(s125, s126)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10348, 10345, 32])).
% 16.07/10.93 tff(10350,plain,
% 16.07/10.93 (((~![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))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10351,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s125, s126)) | node18(s125, s126))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10352,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s125, s126)) | node18(s125, s126)),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10351, 10350])).
% 16.07/10.93 tff(10353,plain,
% 16.07/10.93 (node18(s125, s126)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10352, 125, 10349])).
% 16.07/10.93 tff(10354,plain,
% 16.07/10.93 (((~![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(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))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10355,plain,
% 16.07/10.93 (((~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))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10356,plain,
% 16.07/10.93 (((~![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(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)))),
% 16.07/10.93 inference(monotonicity,[status(thm)],[10355])).
% 16.07/10.93 tff(10357,plain,
% 16.07/10.93 (((~![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(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))),
% 16.07/10.93 inference(transitivity,[status(thm)],[10356, 10354])).
% 16.07/10.93 tff(10358,plain,
% 16.07/10.93 ((~![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(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10359,plain,
% 16.07/10.93 ((~![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(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)),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10358, 10357])).
% 16.07/10.93 tff(10360,plain,
% 16.07/10.93 (node15(s125) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10359, 992, 10353])).
% 16.07/10.93 tff(10361,plain,
% 16.07/10.93 (m_main_v_turn(s126, c_1)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10360, 10342, 10334, 10298])).
% 16.07/10.93 tff(10362,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10363,plain,
% 16.07/10.93 ((~![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)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10364,plain,
% 16.07/10.93 ((~![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))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10363, 10362])).
% 16.07/10.93 tff(10365,plain,
% 16.07/10.93 (~m_main_v_turn(s126, c_2)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10364, 156, 10361])).
% 16.07/10.93 tff(10366,plain,
% 16.07/10.93 (((~![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)))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10367,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s126, c_2) | (~node12(s126)))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10368,plain,
% 16.07/10.93 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s126, c_2) | (~node12(s126))),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10367, 10366])).
% 16.07/10.93 tff(10369,plain,
% 16.07/10.93 (~node12(s126)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10368, 184, 10365])).
% 16.07/10.93 tff(10370,plain,
% 16.07/10.93 (((~![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))),
% 16.07/10.93 inference(rewrite,[status(thm)],[])).
% 16.07/10.93 tff(10371,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s125, s126)) | node14(s125, s126))),
% 16.07/10.93 inference(quant_inst,[status(thm)],[])).
% 16.07/10.93 tff(10372,plain,
% 16.07/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s125, s126)) | node14(s125, s126)),
% 16.07/10.93 inference(modus_ponens,[status(thm)],[10371, 10370])).
% 16.07/10.93 tff(10373,plain,
% 16.07/10.93 (node14(s125, s126)),
% 16.07/10.93 inference(unit_resolution,[status(thm)],[10372, 46, 10349])).
% 16.07/10.93 tff(10374,plain,
% 16.07/10.93 (((~![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(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))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10375,plain,
% 16.14/10.93 ((~![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(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10376,plain,
% 16.14/10.93 ((~![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(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2)),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10375, 10374])).
% 16.14/10.93 tff(10377,plain,
% 16.14/10.93 ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state2(s126, c_t2)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10376, 922, 10373])).
% 16.14/10.93 tff(10378,plain,
% 16.14/10.93 (m_main_v_state2(s126, c_t2)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10377, 10298, 10334])).
% 16.14/10.93 tff(10379,plain,
% 16.14/10.93 (((~![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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10380,plain,
% 16.14/10.93 ((~![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)))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10381,plain,
% 16.14/10.93 ((~![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))),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10380, 10379])).
% 16.14/10.93 tff(10382,plain,
% 16.14/10.93 (~m_main_v_state2(s126, c_n2)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10381, 77, 10378])).
% 16.14/10.93 tff(10383,plain,
% 16.14/10.93 (((~![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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10384,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s126, c_n2) | (~node8(s126)))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10385,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s126, c_n2) | (~node8(s126))),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10384, 10383])).
% 16.14/10.93 tff(10386,plain,
% 16.14/10.93 (~node8(s126)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10385, 271, 10382])).
% 16.14/10.93 tff(10387,plain,
% 16.14/10.93 (((~![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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10388,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s126, c_n2) | (~node9(s126)))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10389,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s126, c_n2) | (~node9(s126))),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10388, 10387])).
% 16.14/10.93 tff(10390,plain,
% 16.14/10.93 (~node9(s126)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10389, 88, 10382])).
% 16.14/10.93 tff(10391,plain,
% 16.14/10.93 (((~![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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10392,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s126, c_n2) | (~node10(s126)))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10393,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s126, c_n2) | (~node10(s126))),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10392, 10391])).
% 16.14/10.93 tff(10394,plain,
% 16.14/10.93 (~node10(s126)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10393, 249, 10382])).
% 16.14/10.93 tff(10395,plain,
% 16.14/10.93 (((~![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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10396,plain,
% 16.14/10.93 ((~![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)))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10397,plain,
% 16.14/10.93 ((~![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))),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10396, 10395])).
% 16.14/10.93 tff(10398,plain,
% 16.14/10.93 (~m_main_v_state2(s126, c_c2)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10397, 260, 10378])).
% 16.14/10.93 tff(10399,plain,
% 16.14/10.93 (((~![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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10400,plain,
% 16.14/10.93 ((~![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)))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10401,plain,
% 16.14/10.93 ((~![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))),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10400, 10399])).
% 16.14/10.93 tff(10402,plain,
% 16.14/10.93 (~m_main_v_state2(s125, c_c2)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10401, 697, 10334])).
% 16.14/10.93 tff(10403,plain,
% 16.14/10.93 (((~![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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10404,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s125, c_c2) | (~node3(s125)))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10405,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s125, c_c2) | (~node3(s125))),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10404, 10403])).
% 16.14/10.93 tff(10406,plain,
% 16.14/10.93 (~node3(s125)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10405, 399, 10402])).
% 16.14/10.93 tff(10407,plain,
% 16.14/10.93 (((~![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(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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10408,plain,
% 16.14/10.93 (((~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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10409,plain,
% 16.14/10.93 (((~![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))))),
% 16.14/10.93 inference(monotonicity,[status(thm)],[10408])).
% 16.14/10.93 tff(10410,plain,
% 16.14/10.93 (((~![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)))),
% 16.14/10.93 inference(transitivity,[status(thm)],[10409, 10407])).
% 16.14/10.93 tff(10411,plain,
% 16.14/10.93 ((~![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)))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10412,plain,
% 16.14/10.93 ((~![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(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125))),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10411, 10410])).
% 16.14/10.93 tff(10413,plain,
% 16.14/10.93 (~m_main_v_state1(s125, c_n1)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10412, 835, 10206, 10291])).
% 16.14/10.93 tff(10414,plain,
% 16.14/10.93 (((~![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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10415,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s125, c_n1) | (~node2(s125)))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10416,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s125, c_n1) | (~node2(s125))),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10415, 10414])).
% 16.14/10.93 tff(10417,plain,
% 16.14/10.93 (~node2(s125)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10416, 787, 10413])).
% 16.14/10.93 tff(10418,plain,
% 16.14/10.93 (((~![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)))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10419,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s125, c_t2) | (~node1(s125)))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10420,plain,
% 16.14/10.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s125, c_t2) | (~node1(s125))),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10419, 10418])).
% 16.14/10.93 tff(10421,plain,
% 16.14/10.93 (~node1(s125)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10420, 195, 10338])).
% 16.14/10.93 tff(10422,plain,
% 16.14/10.93 (((~![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))),
% 16.14/10.93 inference(rewrite,[status(thm)],[])).
% 16.14/10.93 tff(10423,plain,
% 16.14/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s125, s126)) | node7(s125, s126))),
% 16.14/10.93 inference(quant_inst,[status(thm)],[])).
% 16.14/10.93 tff(10424,plain,
% 16.14/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s125, s126)) | node7(s125, s126)),
% 16.14/10.93 inference(modus_ponens,[status(thm)],[10423, 10422])).
% 16.14/10.93 tff(10425,plain,
% 16.14/10.93 (node7(s125, s126)),
% 16.14/10.93 inference(unit_resolution,[status(thm)],[10424, 206, 10349])).
% 16.14/10.94 tff(10426,plain,
% 16.14/10.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10427,plain,
% 16.14/10.94 (((~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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10428,plain,
% 16.14/10.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.14/10.94 inference(monotonicity,[status(thm)],[10427])).
% 16.14/10.94 tff(10429,plain,
% 16.14/10.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.14/10.94 inference(transitivity,[status(thm)],[10428, 10426])).
% 16.14/10.94 tff(10430,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10431,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 16.14/10.94 tff(10432,plain,
% 16.14/10.94 ((~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)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10431, 892, 10425])).
% 16.14/10.94 tff(10433,plain,
% 16.14/10.94 (m_main_v_state1(s126, c_c1)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10432, 10421, 10334, 10298, 10417, 10406])).
% 16.14/10.94 tff(10434,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10435,plain,
% 16.14/10.94 ((~![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)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10436,plain,
% 16.14/10.94 ((~![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))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10435, 10434])).
% 16.14/10.94 tff(10437,plain,
% 16.14/10.94 (~m_main_v_state1(s126, c_n1)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10436, 454, 10433])).
% 16.14/10.94 tff(10438,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10439,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s126, c_n1) | (~node11(s126)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10440,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s126, c_n1) | (~node11(s126))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10439, 10438])).
% 16.14/10.94 tff(10441,plain,
% 16.14/10.94 (~node11(s126)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10440, 238, 10437])).
% 16.14/10.94 tff(10442,plain,
% 16.14/10.94 (succ(s126, s127) <=> succ(s126, s127)),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10443,axiom,(succ(s126, s127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound127')).
% 16.14/10.94 tff(10444,plain,
% 16.14/10.94 (succ(s126, s127)),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10443, 10442])).
% 16.14/10.94 tff(10445,plain,
% 16.14/10.94 (((~![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))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10446,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10447,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127)),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 16.14/10.94 tff(10448,plain,
% 16.14/10.94 (trans(s126, s127)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10447, 10444, 32])).
% 16.14/10.94 tff(10449,plain,
% 16.14/10.94 (((~![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))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10450,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s126, s127)) | node14(s126, s127))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10451,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s126, s127)) | node14(s126, s127)),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10450, 10449])).
% 16.14/10.94 tff(10452,plain,
% 16.14/10.94 (node14(s126, s127)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10451, 46, 10448])).
% 16.14/10.94 tff(10453,plain,
% 16.14/10.94 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10454,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10455,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10454, 10453])).
% 16.14/10.94 tff(10456,plain,
% 16.14/10.94 (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10455, 296, 10452])).
% 16.14/10.94 tff(10457,plain,
% 16.14/10.94 (node13(s126, s127)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10456, 10441, 10398, 10394, 10390, 10386, 10369])).
% 16.14/10.94 tff(10458,plain,
% 16.14/10.94 (((~![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(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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10459,plain,
% 16.14/10.94 (((~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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10460,plain,
% 16.14/10.94 (((~![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))))),
% 16.14/10.94 inference(monotonicity,[status(thm)],[10459])).
% 16.14/10.94 tff(10461,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(transitivity,[status(thm)],[10460, 10458])).
% 16.14/10.94 tff(10462,plain,
% 16.14/10.94 ((~![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)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10463,plain,
% 16.14/10.94 ((~![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(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10462, 10461])).
% 16.14/10.94 tff(10464,plain,
% 16.14/10.94 (~m_main_v_state2(s127, c_n2)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10463, 311, 10382, 10457])).
% 16.14/10.94 tff(10465,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10466,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s127, c_n2) | (~node9(s127)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10467,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s127, c_n2) | (~node9(s127))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10466, 10465])).
% 16.14/10.94 tff(10468,plain,
% 16.14/10.94 (~node9(s127)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10467, 88, 10464])).
% 16.14/10.94 tff(10469,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10470,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s127, c_n2) | (~node10(s127)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10471,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s127, c_n2) | (~node10(s127))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10470, 10469])).
% 16.14/10.94 tff(10472,plain,
% 16.14/10.94 (~node10(s127)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10471, 249, 10464])).
% 16.14/10.94 tff(10473,plain,
% 16.14/10.94 (((~![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(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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10474,plain,
% 16.14/10.94 (((~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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10475,plain,
% 16.14/10.94 (((~![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))))),
% 16.14/10.94 inference(monotonicity,[status(thm)],[10474])).
% 16.14/10.94 tff(10476,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(transitivity,[status(thm)],[10475, 10473])).
% 16.14/10.94 tff(10477,plain,
% 16.14/10.94 ((~![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))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10478,plain,
% 16.14/10.94 ((~![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(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10477, 10476])).
% 16.14/10.94 tff(10479,plain,
% 16.14/10.94 (m_main_v_state2(s127, c_t2)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10478, 518, 10378, 10457])).
% 16.14/10.94 tff(10480,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10481,plain,
% 16.14/10.94 ((~![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)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10482,plain,
% 16.14/10.94 ((~![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))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10481, 10480])).
% 16.14/10.94 tff(10483,plain,
% 16.14/10.94 (~m_main_v_state1(s126, c_t1)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10482, 539, 10433])).
% 16.14/10.94 tff(10484,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10485,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s126, c_t1) | (~node5(s126)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10486,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s126, c_t1) | (~node5(s126))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10485, 10484])).
% 16.14/10.94 tff(10487,plain,
% 16.14/10.94 (~node5(s126)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10486, 550, 10483])).
% 16.14/10.94 tff(10488,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10489,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s126, c_n2) | (~node4(s126)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10490,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s126, c_n2) | (~node4(s126))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10489, 10488])).
% 16.14/10.94 tff(10491,plain,
% 16.14/10.94 (~node4(s126)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10490, 388, 10382])).
% 16.14/10.94 tff(10492,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10493,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s126, c_c2) | (~node3(s126)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10494,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s126, c_c2) | (~node3(s126))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10493, 10492])).
% 16.14/10.94 tff(10495,plain,
% 16.14/10.94 (~node3(s126)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10494, 399, 10398])).
% 16.14/10.94 tff(10496,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10497,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s126, c_n2) | (~node2(s126)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10498,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s126, c_n2) | (~node2(s126))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10497, 10496])).
% 16.14/10.94 tff(10499,plain,
% 16.14/10.94 (~node2(s126)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10498, 410, 10382])).
% 16.14/10.94 tff(10500,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10501,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s126, c_n1) | (~node1(s126)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10502,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s126, c_n1) | (~node1(s126))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10501, 10500])).
% 16.14/10.94 tff(10503,plain,
% 16.14/10.94 (~node1(s126)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10502, 421, 10437])).
% 16.14/10.94 tff(10504,plain,
% 16.14/10.94 (((~![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))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10505,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s126, s127)) | node7(s126, s127))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10506,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s126, s127)) | node7(s126, s127)),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 16.14/10.94 tff(10507,plain,
% 16.14/10.94 (node7(s126, s127)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10506, 206, 10448])).
% 16.14/10.94 tff(10508,plain,
% 16.14/10.94 (((~![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(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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10509,plain,
% 16.14/10.94 (((~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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10510,plain,
% 16.14/10.94 (((~![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(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))))),
% 16.14/10.94 inference(monotonicity,[status(thm)],[10509])).
% 16.14/10.94 tff(10511,plain,
% 16.14/10.94 (((~![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(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)))),
% 16.14/10.94 inference(transitivity,[status(thm)],[10510, 10508])).
% 16.14/10.94 tff(10512,plain,
% 16.14/10.94 ((~![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(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10513,plain,
% 16.14/10.94 ((~![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(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10512, 10511])).
% 16.14/10.94 tff(10514,plain,
% 16.14/10.94 (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10513, 584, 10507])).
% 16.14/10.94 tff(10515,plain,
% 16.14/10.94 (m_main_v_state1(s127, c_n1)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10514, 10503, 10433, 10499, 10495, 10491, 10487])).
% 16.14/10.94 tff(10516,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10517,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s127, c_n2) | (~node8(s127)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10518,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s127, c_n2) | (~node8(s127))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10517, 10516])).
% 16.14/10.94 tff(10519,plain,
% 16.14/10.94 (~node8(s127)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10518, 271, 10464])).
% 16.14/10.94 tff(10520,plain,
% 16.14/10.94 (succ(s127, s128) <=> succ(s127, s128)),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10521,axiom,(succ(s127, s128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound128')).
% 16.14/10.94 tff(10522,plain,
% 16.14/10.94 (succ(s127, s128)),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10521, 10520])).
% 16.14/10.94 tff(10523,plain,
% 16.14/10.94 (((~![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))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10524,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10525,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128)),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10524, 10523])).
% 16.14/10.94 tff(10526,plain,
% 16.14/10.94 (trans(s127, s128)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10525, 10522, 32])).
% 16.14/10.94 tff(10527,plain,
% 16.14/10.94 (((~![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))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10528,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s127, s128)) | node14(s127, s128))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10529,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s127, s128)) | node14(s127, s128)),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10528, 10527])).
% 16.14/10.94 tff(10530,plain,
% 16.14/10.94 (node14(s127, s128)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10529, 46, 10526])).
% 16.14/10.94 tff(10531,plain,
% 16.14/10.94 (((~![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(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))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10532,plain,
% 16.14/10.94 ((~![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(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))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10533,plain,
% 16.14/10.94 ((~![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(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)),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10532, 10531])).
% 16.14/10.94 tff(10534,plain,
% 16.14/10.94 ((~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)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10533, 617, 10530])).
% 16.14/10.94 tff(10535,plain,
% 16.14/10.94 (m_main_v_state2(s128, c_c2)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10534, 10519, 10515, 10479, 10472, 10468])).
% 16.14/10.94 tff(10536,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10537,plain,
% 16.14/10.94 ((~![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)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10538,plain,
% 16.14/10.94 ((~![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))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10537, 10536])).
% 16.14/10.94 tff(10539,plain,
% 16.14/10.94 (~m_main_v_state2(s128, c_t2)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10538, 260, 10535])).
% 16.14/10.94 tff(10540,plain,
% 16.14/10.94 (((~![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)))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10541,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s128, c_t2) | (~node12(s128)))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10542,plain,
% 16.14/10.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s128, c_t2) | (~node12(s128))),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10541, 10540])).
% 16.14/10.94 tff(10543,plain,
% 16.14/10.94 (~node12(s128)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10542, 633, 10539])).
% 16.14/10.94 tff(10544,plain,
% 16.14/10.94 (((~![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))),
% 16.14/10.94 inference(rewrite,[status(thm)],[])).
% 16.14/10.94 tff(10545,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s127, s128)) | node7(s127, s128))),
% 16.14/10.94 inference(quant_inst,[status(thm)],[])).
% 16.14/10.94 tff(10546,plain,
% 16.14/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s127, s128)) | node7(s127, s128)),
% 16.14/10.94 inference(modus_ponens,[status(thm)],[10545, 10544])).
% 16.14/10.94 tff(10547,plain,
% 16.14/10.94 (node7(s127, s128)),
% 16.14/10.94 inference(unit_resolution,[status(thm)],[10546, 206, 10526])).
% 16.14/10.94 tff(10548,plain,
% 16.14/10.94 (((~![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(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))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10549,plain,
% 16.14/10.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10550,plain,
% 16.14/10.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1)),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10549, 10548])).
% 16.14/10.95 tff(10551,plain,
% 16.14/10.95 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | m_main_v_state1(s128, c_t1)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10550, 651, 10547])).
% 16.14/10.95 tff(10552,plain,
% 16.14/10.95 (m_main_v_state1(s128, c_t1)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10551, 10479, 10515])).
% 16.14/10.95 tff(10553,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10554,plain,
% 16.14/10.95 ((~![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)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10555,plain,
% 16.14/10.95 ((~![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))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 16.14/10.95 tff(10556,plain,
% 16.14/10.95 (~m_main_v_state1(s128, c_n1)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10555, 10, 10552])).
% 16.14/10.95 tff(10557,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10558,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s128, c_n1) | (~node11(s128)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10559,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s128, c_n1) | (~node11(s128))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 16.14/10.95 tff(10560,plain,
% 16.14/10.95 (~node11(s128)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10559, 238, 10556])).
% 16.14/10.95 tff(10561,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10562,plain,
% 16.14/10.95 ((~![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)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10563,plain,
% 16.14/10.95 ((~![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))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 16.14/10.95 tff(10564,plain,
% 16.14/10.95 (~m_main_v_state1(s128, c_c1)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10563, 539, 10552])).
% 16.14/10.95 tff(10565,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10566,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s128, c_c1) | (~node10(s128)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10567,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s128, c_c1) | (~node10(s128))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10566, 10565])).
% 16.14/10.95 tff(10568,plain,
% 16.14/10.95 (~node10(s128)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10567, 675, 10564])).
% 16.14/10.95 tff(10569,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10570,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s128, c_n1) | (~node9(s128)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10571,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s128, c_n1) | (~node9(s128))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10570, 10569])).
% 16.14/10.95 tff(10572,plain,
% 16.14/10.95 (~node9(s128)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10571, 686, 10556])).
% 16.14/10.95 tff(10573,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10574,plain,
% 16.14/10.95 ((~![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)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10575,plain,
% 16.14/10.95 ((~![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))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10574, 10573])).
% 16.14/10.95 tff(10576,plain,
% 16.14/10.95 (~m_main_v_state2(s128, c_n2)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10575, 697, 10535])).
% 16.14/10.95 tff(10577,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10578,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s128, c_n2) | (~node8(s128)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10579,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s128, c_n2) | (~node8(s128))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10578, 10577])).
% 16.14/10.95 tff(10580,plain,
% 16.14/10.95 (~node8(s128)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10579, 271, 10576])).
% 16.14/10.95 tff(10581,plain,
% 16.14/10.95 (succ(s128, s129) <=> succ(s128, s129)),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10582,axiom,(succ(s128, s129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound129')).
% 16.14/10.95 tff(10583,plain,
% 16.14/10.95 (succ(s128, s129)),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10582, 10581])).
% 16.14/10.95 tff(10584,plain,
% 16.14/10.95 (((~![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))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10585,plain,
% 16.14/10.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10586,plain,
% 16.14/10.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129)),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10585, 10584])).
% 16.14/10.95 tff(10587,plain,
% 16.14/10.95 (trans(s128, s129)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10586, 10583, 32])).
% 16.14/10.95 tff(10588,plain,
% 16.14/10.95 (((~![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))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10589,plain,
% 16.14/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s128, s129)) | node14(s128, s129))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10590,plain,
% 16.14/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s128, s129)) | node14(s128, s129)),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10589, 10588])).
% 16.14/10.95 tff(10591,plain,
% 16.14/10.95 (node14(s128, s129)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10590, 46, 10587])).
% 16.14/10.95 tff(10592,plain,
% 16.14/10.95 (((~![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(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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10593,plain,
% 16.14/10.95 (((~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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10594,plain,
% 16.14/10.95 (((~![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(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))))),
% 16.14/10.95 inference(monotonicity,[status(thm)],[10593])).
% 16.14/10.95 tff(10595,plain,
% 16.14/10.95 (((~![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(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)))),
% 16.14/10.95 inference(transitivity,[status(thm)],[10594, 10592])).
% 16.14/10.95 tff(10596,plain,
% 16.14/10.95 ((~![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(s128, c_c2)) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | m_main_v_state2(s129, c_n2))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10597,plain,
% 16.14/10.95 ((~![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(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10596, 10595])).
% 16.14/10.95 tff(10598,plain,
% 16.14/10.95 (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~m_main_v_state2(s128, c_c2))),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10597, 726, 10591])).
% 16.14/10.95 tff(10599,plain,
% 16.14/10.95 (m_main_v_state2(s129, c_n2)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10598, 10580, 10535, 10572, 10568, 10560, 10543])).
% 16.14/10.95 tff(10600,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10601,plain,
% 16.14/10.95 ((~![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)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10602,plain,
% 16.14/10.95 ((~![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))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10601, 10600])).
% 16.14/10.95 tff(10603,plain,
% 16.14/10.95 (~m_main_v_state2(s129, c_c2)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10602, 697, 10599])).
% 16.14/10.95 tff(10604,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10605,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s129, c_c2) | (~node3(s129)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10606,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s129, c_c2) | (~node3(s129))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10605, 10604])).
% 16.14/10.95 tff(10607,plain,
% 16.14/10.95 (~node3(s129)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10606, 399, 10603])).
% 16.14/10.95 tff(10608,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10609,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s128, c_n1) | (~node1(s128)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10610,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s128, c_n1) | (~node1(s128))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10609, 10608])).
% 16.14/10.95 tff(10611,plain,
% 16.14/10.95 (~node1(s128)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10610, 421, 10556])).
% 16.14/10.95 tff(10612,plain,
% 16.14/10.95 (((~![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))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10613,plain,
% 16.14/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s127, s128)) | node18(s127, s128))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10614,plain,
% 16.14/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s127, s128)) | node18(s127, s128)),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10613, 10612])).
% 16.14/10.95 tff(10615,plain,
% 16.14/10.95 (node18(s127, s128)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10614, 125, 10526])).
% 16.14/10.95 tff(10616,plain,
% 16.14/10.95 (((~![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(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))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10617,plain,
% 16.14/10.95 ((~![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(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10618,plain,
% 16.14/10.95 ((~![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(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2)),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10617, 10616])).
% 16.14/10.95 tff(10619,plain,
% 16.14/10.95 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | m_main_v_turn(s128, c_2)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10618, 760, 10615])).
% 16.14/10.95 tff(10620,plain,
% 16.14/10.95 (m_main_v_turn(s128, c_2)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10619, 10479, 10515])).
% 16.14/10.95 tff(10621,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10622,plain,
% 16.14/10.95 ((~![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)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10623,plain,
% 16.14/10.95 ((~![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))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10622, 10621])).
% 16.14/10.95 tff(10624,plain,
% 16.14/10.95 (~m_main_v_turn(s128, c_1)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10623, 156, 10620])).
% 16.14/10.95 tff(10625,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10626,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s128, c_1) | (~node5(s128)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10627,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s128, c_1) | (~node5(s128))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 16.14/10.95 tff(10628,plain,
% 16.14/10.95 (~node5(s128)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10627, 776, 10624])).
% 16.14/10.95 tff(10629,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10630,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s128, c_n1) | (~node2(s128)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10631,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s128, c_n1) | (~node2(s128))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10630, 10629])).
% 16.14/10.95 tff(10632,plain,
% 16.14/10.95 (~node2(s128)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10631, 787, 10556])).
% 16.14/10.95 tff(10633,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10634,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s128, c_n1) | (~node3(s128)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10635,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s128, c_n1) | (~node3(s128))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10634, 10633])).
% 16.14/10.95 tff(10636,plain,
% 16.14/10.95 (~node3(s128)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10635, 798, 10556])).
% 16.14/10.95 tff(10637,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10638,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s128, c_n2) | (~node4(s128)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10639,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s128, c_n2) | (~node4(s128))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10638, 10637])).
% 16.14/10.95 tff(10640,plain,
% 16.14/10.95 (~node4(s128)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10639, 388, 10576])).
% 16.14/10.95 tff(10641,plain,
% 16.14/10.95 (((~![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))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10642,plain,
% 16.14/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s128, s129)) | node7(s128, s129))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10643,plain,
% 16.14/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s128, s129)) | node7(s128, s129)),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10642, 10641])).
% 16.14/10.95 tff(10644,plain,
% 16.14/10.95 (node7(s128, s129)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10643, 206, 10587])).
% 16.14/10.95 tff(10645,plain,
% 16.14/10.95 (((~![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(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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10646,plain,
% 16.14/10.95 ((~![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(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10647,plain,
% 16.14/10.95 ((~![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(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10646, 10645])).
% 16.14/10.95 tff(10648,plain,
% 16.14/10.95 (m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10647, 820, 10644])).
% 16.14/10.95 tff(10649,plain,
% 16.14/10.95 (node6(s128, s129)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10648, 10640, 10564, 10636, 10632, 10628, 10611])).
% 16.14/10.95 tff(10650,plain,
% 16.14/10.95 (((~![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(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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10651,plain,
% 16.14/10.95 (((~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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10652,plain,
% 16.14/10.95 (((~![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))))),
% 16.14/10.95 inference(monotonicity,[status(thm)],[10651])).
% 16.14/10.95 tff(10653,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(transitivity,[status(thm)],[10652, 10650])).
% 16.14/10.95 tff(10654,plain,
% 16.14/10.95 ((~![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)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10655,plain,
% 16.14/10.95 ((~![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(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10654, 10653])).
% 16.14/10.95 tff(10656,plain,
% 16.14/10.95 (~m_main_v_state1(s129, c_n1)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10655, 835, 10556, 10649])).
% 16.14/10.95 tff(10657,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10658,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s129, c_n1) | (~node2(s129)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10659,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s129, c_n1) | (~node2(s129))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10658, 10657])).
% 16.14/10.95 tff(10660,plain,
% 16.14/10.95 (~node2(s129)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10659, 787, 10656])).
% 16.14/10.95 tff(10661,plain,
% 16.14/10.95 (((~![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(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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10662,plain,
% 16.14/10.95 (((~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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10663,plain,
% 16.14/10.95 (((~![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))))),
% 16.14/10.95 inference(monotonicity,[status(thm)],[10662])).
% 16.14/10.95 tff(10664,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(transitivity,[status(thm)],[10663, 10661])).
% 16.14/10.95 tff(10665,plain,
% 16.14/10.95 ((~![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))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10666,plain,
% 16.14/10.95 ((~![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(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10665, 10664])).
% 16.14/10.95 tff(10667,plain,
% 16.14/10.95 (m_main_v_state1(s129, c_t1)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10666, 856, 10552, 10649])).
% 16.14/10.95 tff(10668,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10669,plain,
% 16.14/10.95 ((~![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)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10670,plain,
% 16.14/10.95 ((~![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))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10669, 10668])).
% 16.14/10.95 tff(10671,plain,
% 16.14/10.95 (~m_main_v_state2(s129, c_t2)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10670, 77, 10599])).
% 16.14/10.95 tff(10672,plain,
% 16.14/10.95 (((~![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)))),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10673,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s129, c_t2) | (~node1(s129)))),
% 16.14/10.95 inference(quant_inst,[status(thm)],[])).
% 16.14/10.95 tff(10674,plain,
% 16.14/10.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s129, c_t2) | (~node1(s129))),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10673, 10672])).
% 16.14/10.95 tff(10675,plain,
% 16.14/10.95 (~node1(s129)),
% 16.14/10.95 inference(unit_resolution,[status(thm)],[10674, 195, 10671])).
% 16.14/10.95 tff(10676,plain,
% 16.14/10.95 (succ(s129, s130) <=> succ(s129, s130)),
% 16.14/10.95 inference(rewrite,[status(thm)],[])).
% 16.14/10.95 tff(10677,axiom,(succ(s129, s130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound130')).
% 16.14/10.95 tff(10678,plain,
% 16.14/10.95 (succ(s129, s130)),
% 16.14/10.95 inference(modus_ponens,[status(thm)],[10677, 10676])).
% 16.14/10.95 tff(10679,plain,
% 16.14/10.95 (((~![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))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10680,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10681,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130)),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10680, 10679])).
% 16.14/10.96 tff(10682,plain,
% 16.14/10.96 (trans(s129, s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10681, 10678, 32])).
% 16.14/10.96 tff(10683,plain,
% 16.14/10.96 (((~![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))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10684,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s129, s130)) | node7(s129, s130))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10685,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s129, s130)) | node7(s129, s130)),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10684, 10683])).
% 16.14/10.96 tff(10686,plain,
% 16.14/10.96 (node7(s129, s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10685, 206, 10682])).
% 16.14/10.96 tff(10687,plain,
% 16.14/10.96 (((~![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(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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10688,plain,
% 16.14/10.96 (((~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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10689,plain,
% 16.14/10.96 (((~![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(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))))),
% 16.14/10.96 inference(monotonicity,[status(thm)],[10688])).
% 16.14/10.96 tff(10690,plain,
% 16.14/10.96 (((~![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(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)))),
% 16.14/10.96 inference(transitivity,[status(thm)],[10689, 10687])).
% 16.14/10.96 tff(10691,plain,
% 16.14/10.96 ((~![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(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))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10692,plain,
% 16.14/10.96 ((~![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(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))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10691, 10690])).
% 16.14/10.96 tff(10693,plain,
% 16.14/10.96 ((~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)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10692, 892, 10686])).
% 16.14/10.96 tff(10694,plain,
% 16.14/10.96 (m_main_v_state1(s130, c_c1)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10693, 10675, 10599, 10667, 10660, 10607])).
% 16.14/10.96 tff(10695,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10696,plain,
% 16.14/10.96 ((~![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)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10697,plain,
% 16.14/10.96 ((~![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))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10696, 10695])).
% 16.14/10.96 tff(10698,plain,
% 16.14/10.96 (~m_main_v_state1(s130, c_t1)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10697, 539, 10694])).
% 16.14/10.96 tff(10699,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10700,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s130, c_t1) | (~node5(s130)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10701,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s130, c_t1) | (~node5(s130))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10700, 10699])).
% 16.14/10.96 tff(10702,plain,
% 16.14/10.96 (~node5(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10701, 550, 10698])).
% 16.14/10.96 tff(10703,plain,
% 16.14/10.96 (((~![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))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10704,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s129, s130)) | node14(s129, s130))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10705,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s129, s130)) | node14(s129, s130)),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10704, 10703])).
% 16.14/10.96 tff(10706,plain,
% 16.14/10.96 (node14(s129, s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10705, 46, 10682])).
% 16.14/10.96 tff(10707,plain,
% 16.14/10.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10708,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10709,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2)),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10708, 10707])).
% 16.14/10.96 tff(10710,plain,
% 16.14/10.96 ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state2(s130, c_t2)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10709, 922, 10706])).
% 16.14/10.96 tff(10711,plain,
% 16.14/10.96 (m_main_v_state2(s130, c_t2)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10710, 10667, 10599])).
% 16.14/10.96 tff(10712,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10713,plain,
% 16.14/10.96 ((~![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)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10714,plain,
% 16.14/10.96 ((~![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))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 16.14/10.96 tff(10715,plain,
% 16.14/10.96 (~m_main_v_state2(s130, c_n2)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10714, 77, 10711])).
% 16.14/10.96 tff(10716,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10717,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s130, c_n2) | (~node4(s130)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10718,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s130, c_n2) | (~node4(s130))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 16.14/10.96 tff(10719,plain,
% 16.14/10.96 (~node4(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10718, 388, 10715])).
% 16.14/10.96 tff(10720,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10721,plain,
% 16.14/10.96 ((~![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)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10722,plain,
% 16.14/10.96 ((~![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))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 16.14/10.96 tff(10723,plain,
% 16.14/10.96 (~m_main_v_state2(s130, c_c2)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10722, 260, 10711])).
% 16.14/10.96 tff(10724,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10725,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s130, c_c2) | (~node3(s130)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10726,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s130, c_c2) | (~node3(s130))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10725, 10724])).
% 16.14/10.96 tff(10727,plain,
% 16.14/10.96 (~node3(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10726, 399, 10723])).
% 16.14/10.96 tff(10728,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10729,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s130, c_n2) | (~node2(s130)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10730,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s130, c_n2) | (~node2(s130))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 16.14/10.96 tff(10731,plain,
% 16.14/10.96 (~node2(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10730, 410, 10715])).
% 16.14/10.96 tff(10732,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10733,plain,
% 16.14/10.96 ((~![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)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10734,plain,
% 16.14/10.96 ((~![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))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10733, 10732])).
% 16.14/10.96 tff(10735,plain,
% 16.14/10.96 (~m_main_v_state1(s130, c_n1)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10734, 454, 10694])).
% 16.14/10.96 tff(10736,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10737,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s130, c_n1) | (~node1(s130)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10738,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s130, c_n1) | (~node1(s130))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10737, 10736])).
% 16.14/10.96 tff(10739,plain,
% 16.14/10.96 (~node1(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10738, 421, 10735])).
% 16.14/10.96 tff(10740,plain,
% 16.14/10.96 (succ(s130, s131) <=> succ(s130, s131)),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10741,axiom,(succ(s130, s131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound131')).
% 16.14/10.96 tff(10742,plain,
% 16.14/10.96 (succ(s130, s131)),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10741, 10740])).
% 16.14/10.96 tff(10743,plain,
% 16.14/10.96 (((~![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))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10744,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10745,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131)),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 16.14/10.96 tff(10746,plain,
% 16.14/10.96 (trans(s130, s131)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10745, 10742, 32])).
% 16.14/10.96 tff(10747,plain,
% 16.14/10.96 (((~![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))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10748,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s130, s131)) | node7(s130, s131))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10749,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s130, s131)) | node7(s130, s131)),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10748, 10747])).
% 16.14/10.96 tff(10750,plain,
% 16.14/10.96 (node7(s130, s131)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10749, 206, 10746])).
% 16.14/10.96 tff(10751,plain,
% 16.14/10.96 (((~![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(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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10752,plain,
% 16.14/10.96 (((~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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10753,plain,
% 16.14/10.96 (((~![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(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))))),
% 16.14/10.96 inference(monotonicity,[status(thm)],[10752])).
% 16.14/10.96 tff(10754,plain,
% 16.14/10.96 (((~![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(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)))),
% 16.14/10.96 inference(transitivity,[status(thm)],[10753, 10751])).
% 16.14/10.96 tff(10755,plain,
% 16.14/10.96 ((~![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(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10756,plain,
% 16.14/10.96 ((~![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(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10755, 10754])).
% 16.14/10.96 tff(10757,plain,
% 16.14/10.96 (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10756, 584, 10750])).
% 16.14/10.96 tff(10758,plain,
% 16.14/10.96 (m_main_v_state1(s131, c_n1)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10757, 10739, 10694, 10731, 10727, 10719, 10702])).
% 16.14/10.96 tff(10759,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10760,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s129, c_t2) | (~node15(s129)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10761,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s129, c_t2) | (~node15(s129))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10760, 10759])).
% 16.14/10.96 tff(10762,plain,
% 16.14/10.96 (~node15(s129)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10761, 103, 10671])).
% 16.14/10.96 tff(10763,plain,
% 16.14/10.96 (((~![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))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10764,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s129, s130)) | node18(s129, s130))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10765,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s129, s130)) | node18(s129, s130)),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10764, 10763])).
% 16.14/10.96 tff(10766,plain,
% 16.14/10.96 (node18(s129, s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10765, 125, 10682])).
% 16.14/10.96 tff(10767,plain,
% 16.14/10.96 (((~![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(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))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10768,plain,
% 16.14/10.96 (((~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))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10769,plain,
% 16.14/10.96 (((~![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(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)))),
% 16.14/10.96 inference(monotonicity,[status(thm)],[10768])).
% 16.14/10.96 tff(10770,plain,
% 16.14/10.96 (((~![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(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))),
% 16.14/10.96 inference(transitivity,[status(thm)],[10769, 10767])).
% 16.14/10.96 tff(10771,plain,
% 16.14/10.96 ((~![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(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node15(s129) | (~node18(s129, s130)) | m_main_v_turn(s130, c_1))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10772,plain,
% 16.14/10.96 ((~![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(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)),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10771, 10770])).
% 16.14/10.96 tff(10773,plain,
% 16.14/10.96 (node15(s129) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10772, 992, 10766])).
% 16.14/10.96 tff(10774,plain,
% 16.14/10.96 (m_main_v_turn(s130, c_1)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10773, 10762, 10599, 10667])).
% 16.14/10.96 tff(10775,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10776,plain,
% 16.14/10.96 ((~![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)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10777,plain,
% 16.14/10.96 ((~![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))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10776, 10775])).
% 16.14/10.96 tff(10778,plain,
% 16.14/10.96 (~m_main_v_turn(s130, c_2)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10777, 156, 10774])).
% 16.14/10.96 tff(10779,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10780,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s130, c_2) | (~node12(s130)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10781,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s130, c_2) | (~node12(s130))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10780, 10779])).
% 16.14/10.96 tff(10782,plain,
% 16.14/10.96 (~node12(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10781, 184, 10778])).
% 16.14/10.96 tff(10783,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10784,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s130, c_n2) | (~node8(s130)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10785,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s130, c_n2) | (~node8(s130))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10784, 10783])).
% 16.14/10.96 tff(10786,plain,
% 16.14/10.96 (~node8(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10785, 271, 10715])).
% 16.14/10.96 tff(10787,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10788,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s130, c_n2) | (~node9(s130)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10789,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s130, c_n2) | (~node9(s130))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10788, 10787])).
% 16.14/10.96 tff(10790,plain,
% 16.14/10.96 (~node9(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10789, 88, 10715])).
% 16.14/10.96 tff(10791,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10792,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s130, c_n2) | (~node10(s130)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10793,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s130, c_n2) | (~node10(s130))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10792, 10791])).
% 16.14/10.96 tff(10794,plain,
% 16.14/10.96 (~node10(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10793, 249, 10715])).
% 16.14/10.96 tff(10795,plain,
% 16.14/10.96 (((~![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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10796,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s130, c_n1) | (~node11(s130)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10797,plain,
% 16.14/10.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s130, c_n1) | (~node11(s130))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10796, 10795])).
% 16.14/10.96 tff(10798,plain,
% 16.14/10.96 (~node11(s130)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10797, 238, 10735])).
% 16.14/10.96 tff(10799,plain,
% 16.14/10.96 (((~![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))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10800,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s130, s131)) | node14(s130, s131))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10801,plain,
% 16.14/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s130, s131)) | node14(s130, s131)),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10800, 10799])).
% 16.14/10.96 tff(10802,plain,
% 16.14/10.96 (node14(s130, s131)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10801, 46, 10746])).
% 16.14/10.96 tff(10803,plain,
% 16.14/10.96 (((~![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(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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10804,plain,
% 16.14/10.96 ((~![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(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131)))),
% 16.14/10.96 inference(quant_inst,[status(thm)],[])).
% 16.14/10.96 tff(10805,plain,
% 16.14/10.96 ((~![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(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131))),
% 16.14/10.96 inference(modus_ponens,[status(thm)],[10804, 10803])).
% 16.14/10.96 tff(10806,plain,
% 16.14/10.96 (m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10805, 296, 10802])).
% 16.14/10.96 tff(10807,plain,
% 16.14/10.96 (node13(s130, s131)),
% 16.14/10.96 inference(unit_resolution,[status(thm)],[10806, 10798, 10723, 10794, 10790, 10786, 10782])).
% 16.14/10.96 tff(10808,plain,
% 16.14/10.96 (((~![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(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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10809,plain,
% 16.14/10.96 (((~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)))),
% 16.14/10.96 inference(rewrite,[status(thm)],[])).
% 16.14/10.96 tff(10810,plain,
% 16.14/10.96 (((~![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))))),
% 16.14/10.96 inference(monotonicity,[status(thm)],[10809])).
% 16.14/10.97 tff(10811,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(transitivity,[status(thm)],[10810, 10808])).
% 16.14/10.97 tff(10812,plain,
% 16.14/10.97 ((~![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))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10813,plain,
% 16.14/10.97 ((~![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(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10812, 10811])).
% 16.14/10.97 tff(10814,plain,
% 16.14/10.97 (m_main_v_state2(s131, c_t2)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10813, 518, 10711, 10807])).
% 16.14/10.97 tff(10815,plain,
% 16.14/10.97 (succ(s131, s132) <=> succ(s131, s132)),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10816,axiom,(succ(s131, s132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound132')).
% 16.14/10.97 tff(10817,plain,
% 16.14/10.97 (succ(s131, s132)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10816, 10815])).
% 16.14/10.97 tff(10818,plain,
% 16.14/10.97 (((~![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))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10819,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10820,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 16.14/10.97 tff(10821,plain,
% 16.14/10.97 (trans(s131, s132)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10820, 10817, 32])).
% 16.14/10.97 tff(10822,plain,
% 16.14/10.97 (((~![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))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10823,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s131, s132)) | node7(s131, s132))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10824,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s131, s132)) | node7(s131, s132)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 16.14/10.97 tff(10825,plain,
% 16.14/10.97 (node7(s131, s132)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10824, 206, 10821])).
% 16.14/10.97 tff(10826,plain,
% 16.14/10.97 (((~![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(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))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10827,plain,
% 16.14/10.97 ((~![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(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10828,plain,
% 16.14/10.97 ((~![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(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10827, 10826])).
% 16.14/10.97 tff(10829,plain,
% 16.14/10.97 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | m_main_v_state1(s132, c_t1)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10828, 651, 10825])).
% 16.14/10.97 tff(10830,plain,
% 16.14/10.97 (m_main_v_state1(s132, c_t1)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10829, 10814, 10758])).
% 16.14/10.97 tff(10831,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10832,plain,
% 16.14/10.97 ((~![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)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10833,plain,
% 16.14/10.97 ((~![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))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10832, 10831])).
% 16.14/10.97 tff(10834,plain,
% 16.14/10.97 (~m_main_v_state1(s132, c_n1)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10833, 10, 10830])).
% 16.14/10.97 tff(10835,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10836,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s132, c_n1) | (~node1(s132)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10837,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s132, c_n1) | (~node1(s132))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10836, 10835])).
% 16.14/10.97 tff(10838,plain,
% 16.14/10.97 (~node1(s132)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10837, 421, 10834])).
% 16.14/10.97 tff(10839,plain,
% 16.14/10.97 (((~![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))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10840,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s131, s132)) | node18(s131, s132))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10841,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s131, s132)) | node18(s131, s132)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10840, 10839])).
% 16.14/10.97 tff(10842,plain,
% 16.14/10.97 (node18(s131, s132)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10841, 125, 10821])).
% 16.14/10.97 tff(10843,plain,
% 16.14/10.97 (((~![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(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))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10844,plain,
% 16.14/10.97 ((~![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(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10845,plain,
% 16.14/10.97 ((~![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(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10844, 10843])).
% 16.14/10.97 tff(10846,plain,
% 16.14/10.97 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | m_main_v_turn(s132, c_2)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10845, 760, 10842])).
% 16.14/10.97 tff(10847,plain,
% 16.14/10.97 (m_main_v_turn(s132, c_2)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10846, 10814, 10758])).
% 16.14/10.97 tff(10848,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10849,plain,
% 16.14/10.97 ((~![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)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10850,plain,
% 16.14/10.97 ((~![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))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10849, 10848])).
% 16.14/10.97 tff(10851,plain,
% 16.14/10.97 (~m_main_v_turn(s132, c_1)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10850, 156, 10847])).
% 16.14/10.97 tff(10852,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10853,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s132, c_1) | (~node5(s132)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10854,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s132, c_1) | (~node5(s132))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10853, 10852])).
% 16.14/10.97 tff(10855,plain,
% 16.14/10.97 (~node5(s132)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10854, 776, 10851])).
% 16.14/10.97 tff(10856,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10857,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s132, c_n1) | (~node2(s132)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10858,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s132, c_n1) | (~node2(s132))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10857, 10856])).
% 16.14/10.97 tff(10859,plain,
% 16.14/10.97 (~node2(s132)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10858, 787, 10834])).
% 16.14/10.97 tff(10860,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10861,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s132, c_n1) | (~node3(s132)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10862,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s132, c_n1) | (~node3(s132))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10861, 10860])).
% 16.14/10.97 tff(10863,plain,
% 16.14/10.97 (~node3(s132)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10862, 798, 10834])).
% 16.14/10.97 tff(10864,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10865,plain,
% 16.14/10.97 ((~![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)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10866,plain,
% 16.14/10.97 ((~![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))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10865, 10864])).
% 16.14/10.97 tff(10867,plain,
% 16.14/10.97 (~m_main_v_state1(s132, c_c1)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10866, 539, 10830])).
% 16.14/10.97 tff(10868,plain,
% 16.14/10.97 (((~![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(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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10869,plain,
% 16.14/10.97 (((~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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10870,plain,
% 16.14/10.97 (((~![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))))),
% 16.14/10.97 inference(monotonicity,[status(thm)],[10869])).
% 16.14/10.97 tff(10871,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(transitivity,[status(thm)],[10870, 10868])).
% 16.14/10.97 tff(10872,plain,
% 16.14/10.97 ((~![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)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10873,plain,
% 16.14/10.97 ((~![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(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10872, 10871])).
% 16.14/10.97 tff(10874,plain,
% 16.14/10.97 (~m_main_v_state2(s131, c_n2)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10873, 311, 10715, 10807])).
% 16.14/10.97 tff(10875,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10876,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s131, c_n2) | (~node9(s131)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10877,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s131, c_n2) | (~node9(s131))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10876, 10875])).
% 16.14/10.97 tff(10878,plain,
% 16.14/10.97 (~node9(s131)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10877, 88, 10874])).
% 16.14/10.97 tff(10879,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10880,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s131, c_n2) | (~node10(s131)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10881,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s131, c_n2) | (~node10(s131))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10880, 10879])).
% 16.14/10.97 tff(10882,plain,
% 16.14/10.97 (~node10(s131)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10881, 249, 10874])).
% 16.14/10.97 tff(10883,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10884,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s131, c_n2) | (~node8(s131)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10885,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s131, c_n2) | (~node8(s131))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10884, 10883])).
% 16.14/10.97 tff(10886,plain,
% 16.14/10.97 (~node8(s131)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10885, 271, 10874])).
% 16.14/10.97 tff(10887,plain,
% 16.14/10.97 (((~![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))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10888,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s131, s132)) | node14(s131, s132))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10889,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s131, s132)) | node14(s131, s132)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10888, 10887])).
% 16.14/10.97 tff(10890,plain,
% 16.14/10.97 (node14(s131, s132)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10889, 46, 10821])).
% 16.14/10.97 tff(10891,plain,
% 16.14/10.97 (((~![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(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))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10892,plain,
% 16.14/10.97 ((~![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(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))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10893,plain,
% 16.14/10.97 ((~![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(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)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10892, 10891])).
% 16.14/10.97 tff(10894,plain,
% 16.14/10.97 ((~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)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10893, 617, 10890])).
% 16.14/10.97 tff(10895,plain,
% 16.14/10.97 (m_main_v_state2(s132, c_c2)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10894, 10886, 10758, 10814, 10882, 10878])).
% 16.14/10.97 tff(10896,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10897,plain,
% 16.14/10.97 ((~![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)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10898,plain,
% 16.14/10.97 ((~![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))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10897, 10896])).
% 16.14/10.97 tff(10899,plain,
% 16.14/10.97 (~m_main_v_state2(s132, c_n2)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10898, 697, 10895])).
% 16.14/10.97 tff(10900,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10901,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s132, c_n2) | (~node4(s132)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10902,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s132, c_n2) | (~node4(s132))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10901, 10900])).
% 16.14/10.97 tff(10903,plain,
% 16.14/10.97 (~node4(s132)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10902, 388, 10899])).
% 16.14/10.97 tff(10904,plain,
% 16.14/10.97 (succ(s132, s133) <=> succ(s132, s133)),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10905,axiom,(succ(s132, s133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound133')).
% 16.14/10.97 tff(10906,plain,
% 16.14/10.97 (succ(s132, s133)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10905, 10904])).
% 16.14/10.97 tff(10907,plain,
% 16.14/10.97 (((~![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))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10908,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10909,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10908, 10907])).
% 16.14/10.97 tff(10910,plain,
% 16.14/10.97 (trans(s132, s133)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10909, 10906, 32])).
% 16.14/10.97 tff(10911,plain,
% 16.14/10.97 (((~![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))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10912,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s132, s133)) | node7(s132, s133))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10913,plain,
% 16.14/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s132, s133)) | node7(s132, s133)),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 16.14/10.97 tff(10914,plain,
% 16.14/10.97 (node7(s132, s133)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10913, 206, 10910])).
% 16.14/10.97 tff(10915,plain,
% 16.14/10.97 (((~![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(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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10916,plain,
% 16.14/10.97 ((~![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(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10917,plain,
% 16.14/10.97 ((~![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(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10916, 10915])).
% 16.14/10.97 tff(10918,plain,
% 16.14/10.97 (m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10917, 820, 10914])).
% 16.14/10.97 tff(10919,plain,
% 16.14/10.97 (node6(s132, s133)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10918, 10903, 10867, 10863, 10859, 10855, 10838])).
% 16.14/10.97 tff(10920,plain,
% 16.14/10.97 (((~![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(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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10921,plain,
% 16.14/10.97 (((~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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10922,plain,
% 16.14/10.97 (((~![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))))),
% 16.14/10.97 inference(monotonicity,[status(thm)],[10921])).
% 16.14/10.97 tff(10923,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(transitivity,[status(thm)],[10922, 10920])).
% 16.14/10.97 tff(10924,plain,
% 16.14/10.97 ((~![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))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10925,plain,
% 16.14/10.97 ((~![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(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10924, 10923])).
% 16.14/10.97 tff(10926,plain,
% 16.14/10.97 (m_main_v_state1(s133, c_t1)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10925, 856, 10830, 10919])).
% 16.14/10.97 tff(10927,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10928,plain,
% 16.14/10.97 ((~![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)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10929,plain,
% 16.14/10.97 ((~![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))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10928, 10927])).
% 16.14/10.97 tff(10930,plain,
% 16.14/10.97 (~m_main_v_state2(s132, c_t2)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10929, 260, 10895])).
% 16.14/10.97 tff(10931,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10932,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s132, c_t2) | (~node12(s132)))),
% 16.14/10.97 inference(quant_inst,[status(thm)],[])).
% 16.14/10.97 tff(10933,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s132, c_t2) | (~node12(s132))),
% 16.14/10.97 inference(modus_ponens,[status(thm)],[10932, 10931])).
% 16.14/10.97 tff(10934,plain,
% 16.14/10.97 (~node12(s132)),
% 16.14/10.97 inference(unit_resolution,[status(thm)],[10933, 633, 10930])).
% 16.14/10.97 tff(10935,plain,
% 16.14/10.97 (((~![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)))),
% 16.14/10.97 inference(rewrite,[status(thm)],[])).
% 16.14/10.97 tff(10936,plain,
% 16.14/10.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s132, c_n1) | (~node11(s132)))),
% 16.14/10.98 inference(quant_inst,[status(thm)],[])).
% 16.14/10.98 tff(10937,plain,
% 16.14/10.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s132, c_n1) | (~node11(s132))),
% 16.14/10.98 inference(modus_ponens,[status(thm)],[10936, 10935])).
% 16.14/10.98 tff(10938,plain,
% 16.14/10.98 (~node11(s132)),
% 16.14/10.98 inference(unit_resolution,[status(thm)],[10937, 238, 10834])).
% 16.14/10.98 tff(10939,plain,
% 16.14/10.98 (((~![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)))),
% 16.14/10.98 inference(rewrite,[status(thm)],[])).
% 16.14/10.98 tff(10940,plain,
% 16.14/10.98 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s132, c_c1) | (~node10(s132)))),
% 16.14/10.98 inference(quant_inst,[status(thm)],[])).
% 16.14/10.98 tff(10941,plain,
% 16.14/10.98 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s132, c_c1) | (~node10(s132))),
% 16.14/10.98 inference(modus_ponens,[status(thm)],[10940, 10939])).
% 16.14/10.98 tff(10942,plain,
% 16.14/10.98 (~node10(s132)),
% 16.14/10.98 inference(unit_resolution,[status(thm)],[10941, 675, 10867])).
% 16.14/10.98 tff(10943,plain,
% 16.14/10.98 (((~![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)))),
% 16.14/10.98 inference(rewrite,[status(thm)],[])).
% 16.14/10.98 tff(10944,plain,
% 16.14/10.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s132, c_n1) | (~node9(s132)))),
% 16.14/10.98 inference(quant_inst,[status(thm)],[])).
% 16.14/10.98 tff(10945,plain,
% 16.14/10.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s132, c_n1) | (~node9(s132))),
% 16.14/10.98 inference(modus_ponens,[status(thm)],[10944, 10943])).
% 16.14/10.98 tff(10946,plain,
% 16.14/10.98 (~node9(s132)),
% 16.14/10.98 inference(unit_resolution,[status(thm)],[10945, 686, 10834])).
% 16.14/10.98 tff(10947,plain,
% 16.14/10.98 (((~![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)))),
% 16.14/10.98 inference(rewrite,[status(thm)],[])).
% 16.14/10.98 tff(10948,plain,
% 16.14/10.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s132, c_n2) | (~node8(s132)))),
% 16.14/10.98 inference(quant_inst,[status(thm)],[])).
% 16.14/10.98 tff(10949,plain,
% 16.14/10.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s132, c_n2) | (~node8(s132))),
% 16.14/10.98 inference(modus_ponens,[status(thm)],[10948, 10947])).
% 16.14/10.98 tff(10950,plain,
% 16.14/10.98 (~node8(s132)),
% 16.14/10.98 inference(unit_resolution,[status(thm)],[10949, 271, 10899])).
% 16.14/10.98 tff(10951,plain,
% 16.14/10.98 (((~![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))),
% 16.14/10.98 inference(rewrite,[status(thm)],[])).
% 16.14/10.98 tff(10952,plain,
% 16.14/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s132, s133)) | node14(s132, s133))),
% 16.14/10.98 inference(quant_inst,[status(thm)],[])).
% 16.14/10.98 tff(10953,plain,
% 16.14/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s132, s133)) | node14(s132, s133)),
% 16.14/10.98 inference(modus_ponens,[status(thm)],[10952, 10951])).
% 16.14/10.98 tff(10954,plain,
% 16.14/10.98 (node14(s132, s133)),
% 16.14/10.98 inference(unit_resolution,[status(thm)],[10953, 46, 10910])).
% 16.14/10.98 tff(10955,plain,
% 16.14/10.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.14/10.98 inference(rewrite,[status(thm)],[])).
% 16.14/10.98 tff(10956,plain,
% 16.14/10.98 (((~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)))),
% 16.14/10.98 inference(rewrite,[status(thm)],[])).
% 16.14/10.98 tff(10957,plain,
% 16.14/10.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.14/10.98 inference(monotonicity,[status(thm)],[10956])).
% 16.14/10.98 tff(10958,plain,
% 16.14/10.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.14/10.98 inference(transitivity,[status(thm)],[10957, 10955])).
% 16.14/10.98 tff(10959,plain,
% 16.14/10.98 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s132, c_c2)) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | m_main_v_state2(s133, c_n2))),
% 16.14/10.98 inference(quant_inst,[status(thm)],[])).
% 16.14/10.98 tff(10960,plain,
% 16.14/10.98 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2))),
% 16.14/10.98 inference(modus_ponens,[status(thm)],[10959, 10958])).
% 16.14/10.98 tff(10961,plain,
% 16.14/10.98 (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~m_main_v_state2(s132, c_c2))),
% 16.14/10.98 inference(unit_resolution,[status(thm)],[10960, 726, 10954])).
% 16.14/10.98 tff(10962,plain,
% 16.14/10.98 (m_main_v_state2(s133, c_n2)),
% 16.14/10.98 inference(unit_resolution,[status(thm)],[10961, 10950, 10895, 10946, 10942, 10938, 10934])).
% 16.14/10.98 tff(10963,plain,
% 16.14/10.98 (((~![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)))),
% 16.14/10.98 inference(rewrite,[status(thm)],[])).
% 16.14/10.98 tff(10964,plain,
% 16.14/10.98 ((~![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)))),
% 16.14/10.98 inference(quant_inst,[status(thm)],[])).
% 16.14/10.98 tff(10965,plain,
% 16.14/10.98 ((~![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))),
% 16.14/10.98 inference(modus_ponens,[status(thm)],[10964, 10963])).
% 16.14/10.98 tff(10966,plain,
% 16.14/10.98 (~m_main_v_state2(s133, c_t2)),
% 16.14/10.98 inference(unit_resolution,[status(thm)],[10965, 77, 10962])).
% 16.14/10.98 tff(10967,plain,
% 16.14/10.98 (((~![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)))),
% 16.14/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(10968,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s133, c_t2) | (~node15(s133)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(10969,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s133, c_t2) | (~node15(s133))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[10968, 10967])).
% 16.18/10.98 tff(10970,plain,
% 16.18/10.98 (~node15(s133)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[10969, 103, 10966])).
% 16.18/10.98 tff(10971,plain,
% 16.18/10.98 (succ(s133, s134) <=> succ(s133, s134)),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(10972,axiom,(succ(s133, s134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound134')).
% 16.18/10.98 tff(10973,plain,
% 16.18/10.98 (succ(s133, s134)),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[10972, 10971])).
% 16.18/10.98 tff(10974,plain,
% 16.18/10.98 (((~![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))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(10975,plain,
% 16.18/10.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(10976,plain,
% 16.18/10.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134)),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[10975, 10974])).
% 16.18/10.98 tff(10977,plain,
% 16.18/10.98 (trans(s133, s134)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[10976, 10973, 32])).
% 16.18/10.98 tff(10978,plain,
% 16.18/10.98 (((~![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))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(10979,plain,
% 16.18/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s133, s134)) | node18(s133, s134))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(10980,plain,
% 16.18/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s133, s134)) | node18(s133, s134)),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[10979, 10978])).
% 16.18/10.98 tff(10981,plain,
% 16.18/10.98 (node18(s133, s134)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[10980, 125, 10977])).
% 16.18/10.98 tff(10982,plain,
% 16.18/10.98 (((~![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(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))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(10983,plain,
% 16.18/10.98 (((~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))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(10984,plain,
% 16.18/10.98 (((~![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(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)))),
% 16.18/10.98 inference(monotonicity,[status(thm)],[10983])).
% 16.18/10.98 tff(10985,plain,
% 16.18/10.98 (((~![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(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))),
% 16.18/10.98 inference(transitivity,[status(thm)],[10984, 10982])).
% 16.18/10.98 tff(10986,plain,
% 16.18/10.98 ((~![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(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(10987,plain,
% 16.18/10.98 ((~![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(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)),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[10986, 10985])).
% 16.18/10.98 tff(10988,plain,
% 16.18/10.98 (node15(s133) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[10987, 992, 10981])).
% 16.18/10.98 tff(10989,plain,
% 16.18/10.98 (m_main_v_turn(s134, c_1)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[10988, 10970, 10962, 10926])).
% 16.18/10.98 tff(10990,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(10991,plain,
% 16.18/10.98 ((~![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)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(10992,plain,
% 16.18/10.98 ((~![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))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[10991, 10990])).
% 16.18/10.98 tff(10993,plain,
% 16.18/10.98 (~m_main_v_turn(s134, c_2)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[10992, 156, 10989])).
% 16.18/10.98 tff(10994,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(10995,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s134, c_2) | (~node12(s134)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(10996,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s134, c_2) | (~node12(s134))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[10995, 10994])).
% 16.18/10.98 tff(10997,plain,
% 16.18/10.98 (~node12(s134)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[10996, 184, 10993])).
% 16.18/10.98 tff(10998,plain,
% 16.18/10.98 (((~![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))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(10999,plain,
% 16.18/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s133, s134)) | node14(s133, s134))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11000,plain,
% 16.18/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s133, s134)) | node14(s133, s134)),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[10999, 10998])).
% 16.18/10.98 tff(11001,plain,
% 16.18/10.98 (node14(s133, s134)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11000, 46, 10977])).
% 16.18/10.98 tff(11002,plain,
% 16.18/10.98 (((~![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(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))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11003,plain,
% 16.18/10.98 ((~![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(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11004,plain,
% 16.18/10.98 ((~![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(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2)),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11003, 11002])).
% 16.18/10.98 tff(11005,plain,
% 16.18/10.98 ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state2(s134, c_t2)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11004, 922, 11001])).
% 16.18/10.98 tff(11006,plain,
% 16.18/10.98 (m_main_v_state2(s134, c_t2)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11005, 10926, 10962])).
% 16.18/10.98 tff(11007,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11008,plain,
% 16.18/10.98 ((~![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)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11009,plain,
% 16.18/10.98 ((~![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))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11008, 11007])).
% 16.18/10.98 tff(11010,plain,
% 16.18/10.98 (~m_main_v_state2(s134, c_n2)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11009, 77, 11006])).
% 16.18/10.98 tff(11011,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11012,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s134, c_n2) | (~node8(s134)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11013,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s134, c_n2) | (~node8(s134))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11012, 11011])).
% 16.18/10.98 tff(11014,plain,
% 16.18/10.98 (~node8(s134)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11013, 271, 11010])).
% 16.18/10.98 tff(11015,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11016,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s134, c_n2) | (~node9(s134)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11017,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s134, c_n2) | (~node9(s134))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11016, 11015])).
% 16.18/10.98 tff(11018,plain,
% 16.18/10.98 (~node9(s134)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11017, 88, 11010])).
% 16.18/10.98 tff(11019,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11020,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s134, c_n2) | (~node10(s134)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11021,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s134, c_n2) | (~node10(s134))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11020, 11019])).
% 16.18/10.98 tff(11022,plain,
% 16.18/10.98 (~node10(s134)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11021, 249, 11010])).
% 16.18/10.98 tff(11023,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11024,plain,
% 16.18/10.98 ((~![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)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11025,plain,
% 16.18/10.98 ((~![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))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11024, 11023])).
% 16.18/10.98 tff(11026,plain,
% 16.18/10.98 (~m_main_v_state2(s134, c_c2)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11025, 260, 11006])).
% 16.18/10.98 tff(11027,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11028,plain,
% 16.18/10.98 ((~![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)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11029,plain,
% 16.18/10.98 ((~![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))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11028, 11027])).
% 16.18/10.98 tff(11030,plain,
% 16.18/10.98 (~m_main_v_state2(s133, c_c2)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11029, 697, 10962])).
% 16.18/10.98 tff(11031,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11032,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s133, c_c2) | (~node3(s133)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11033,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s133, c_c2) | (~node3(s133))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11032, 11031])).
% 16.18/10.98 tff(11034,plain,
% 16.18/10.98 (~node3(s133)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11033, 399, 11030])).
% 16.18/10.98 tff(11035,plain,
% 16.18/10.98 (((~![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(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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11036,plain,
% 16.18/10.98 (((~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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11037,plain,
% 16.18/10.98 (((~![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))))),
% 16.18/10.98 inference(monotonicity,[status(thm)],[11036])).
% 16.18/10.98 tff(11038,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(transitivity,[status(thm)],[11037, 11035])).
% 16.18/10.98 tff(11039,plain,
% 16.18/10.98 ((~![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)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11040,plain,
% 16.18/10.98 ((~![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(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11039, 11038])).
% 16.18/10.98 tff(11041,plain,
% 16.18/10.98 (~m_main_v_state1(s133, c_n1)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11040, 835, 10834, 10919])).
% 16.18/10.98 tff(11042,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11043,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s133, c_n1) | (~node2(s133)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11044,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s133, c_n1) | (~node2(s133))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11043, 11042])).
% 16.18/10.98 tff(11045,plain,
% 16.18/10.98 (~node2(s133)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11044, 787, 11041])).
% 16.18/10.98 tff(11046,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11047,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s133, c_t2) | (~node1(s133)))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11048,plain,
% 16.18/10.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s133, c_t2) | (~node1(s133))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11047, 11046])).
% 16.18/10.98 tff(11049,plain,
% 16.18/10.98 (~node1(s133)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11048, 195, 10966])).
% 16.18/10.98 tff(11050,plain,
% 16.18/10.98 (((~![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))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11051,plain,
% 16.18/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s133, s134)) | node7(s133, s134))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11052,plain,
% 16.18/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s133, s134)) | node7(s133, s134)),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11051, 11050])).
% 16.18/10.98 tff(11053,plain,
% 16.18/10.98 (node7(s133, s134)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11052, 206, 10977])).
% 16.18/10.98 tff(11054,plain,
% 16.18/10.98 (((~![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(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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11055,plain,
% 16.18/10.98 (((~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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11056,plain,
% 16.18/10.98 (((~![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(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))))),
% 16.18/10.98 inference(monotonicity,[status(thm)],[11055])).
% 16.18/10.98 tff(11057,plain,
% 16.18/10.98 (((~![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(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)))),
% 16.18/10.98 inference(transitivity,[status(thm)],[11056, 11054])).
% 16.18/10.98 tff(11058,plain,
% 16.18/10.98 ((~![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(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))),
% 16.18/10.98 inference(quant_inst,[status(thm)],[])).
% 16.18/10.98 tff(11059,plain,
% 16.18/10.98 ((~![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(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))),
% 16.18/10.98 inference(modus_ponens,[status(thm)],[11058, 11057])).
% 16.18/10.98 tff(11060,plain,
% 16.18/10.98 ((~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)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11059, 892, 11053])).
% 16.18/10.98 tff(11061,plain,
% 16.18/10.98 (m_main_v_state1(s134, c_c1)),
% 16.18/10.98 inference(unit_resolution,[status(thm)],[11060, 11049, 10962, 10926, 11045, 11034])).
% 16.18/10.98 tff(11062,plain,
% 16.18/10.98 (((~![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)))),
% 16.18/10.98 inference(rewrite,[status(thm)],[])).
% 16.18/10.98 tff(11063,plain,
% 16.18/10.98 ((~![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)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11064,plain,
% 16.18/10.99 ((~![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))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11063, 11062])).
% 16.18/10.99 tff(11065,plain,
% 16.18/10.99 (~m_main_v_state1(s134, c_n1)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11064, 454, 11061])).
% 16.18/10.99 tff(11066,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11067,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s134, c_n1) | (~node11(s134)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11068,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s134, c_n1) | (~node11(s134))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11067, 11066])).
% 16.18/10.99 tff(11069,plain,
% 16.18/10.99 (~node11(s134)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11068, 238, 11065])).
% 16.18/10.99 tff(11070,plain,
% 16.18/10.99 (succ(s134, s135) <=> succ(s134, s135)),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11071,axiom,(succ(s134, s135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound135')).
% 16.18/10.99 tff(11072,plain,
% 16.18/10.99 (succ(s134, s135)),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11071, 11070])).
% 16.18/10.99 tff(11073,plain,
% 16.18/10.99 (((~![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))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11074,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11075,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135)),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11074, 11073])).
% 16.18/10.99 tff(11076,plain,
% 16.18/10.99 (trans(s134, s135)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11075, 11072, 32])).
% 16.18/10.99 tff(11077,plain,
% 16.18/10.99 (((~![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))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11078,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s134, s135)) | node14(s134, s135))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11079,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s134, s135)) | node14(s134, s135)),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11078, 11077])).
% 16.18/10.99 tff(11080,plain,
% 16.18/10.99 (node14(s134, s135)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11079, 46, 11076])).
% 16.18/10.99 tff(11081,plain,
% 16.18/10.99 (((~![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(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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11082,plain,
% 16.18/10.99 ((~![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(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135) | (~node14(s134, s135)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11083,plain,
% 16.18/10.99 ((~![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(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135) | (~node14(s134, s135))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11082, 11081])).
% 16.18/10.99 tff(11084,plain,
% 16.18/10.99 (m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11083, 296, 11080])).
% 16.18/10.99 tff(11085,plain,
% 16.18/10.99 (node13(s134, s135)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11084, 11069, 11026, 11022, 11018, 11014, 10997])).
% 16.18/10.99 tff(11086,plain,
% 16.18/10.99 (((~![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(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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11087,plain,
% 16.18/10.99 (((~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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11088,plain,
% 16.18/10.99 (((~![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))))),
% 16.18/10.99 inference(monotonicity,[status(thm)],[11087])).
% 16.18/10.99 tff(11089,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(transitivity,[status(thm)],[11088, 11086])).
% 16.18/10.99 tff(11090,plain,
% 16.18/10.99 ((~![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)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11091,plain,
% 16.18/10.99 ((~![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(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11090, 11089])).
% 16.18/10.99 tff(11092,plain,
% 16.18/10.99 (~m_main_v_state2(s135, c_n2)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11091, 311, 11010, 11085])).
% 16.18/10.99 tff(11093,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11094,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s135, c_n2) | (~node9(s135)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11095,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s135, c_n2) | (~node9(s135))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11094, 11093])).
% 16.18/10.99 tff(11096,plain,
% 16.18/10.99 (~node9(s135)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11095, 88, 11092])).
% 16.18/10.99 tff(11097,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11098,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s135, c_n2) | (~node10(s135)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11099,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s135, c_n2) | (~node10(s135))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11098, 11097])).
% 16.18/10.99 tff(11100,plain,
% 16.18/10.99 (~node10(s135)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11099, 249, 11092])).
% 16.18/10.99 tff(11101,plain,
% 16.18/10.99 (((~![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(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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11102,plain,
% 16.18/10.99 (((~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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11103,plain,
% 16.18/10.99 (((~![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))))),
% 16.18/10.99 inference(monotonicity,[status(thm)],[11102])).
% 16.18/10.99 tff(11104,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(transitivity,[status(thm)],[11103, 11101])).
% 16.18/10.99 tff(11105,plain,
% 16.18/10.99 ((~![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))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11106,plain,
% 16.18/10.99 ((~![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(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11105, 11104])).
% 16.18/10.99 tff(11107,plain,
% 16.18/10.99 (m_main_v_state2(s135, c_t2)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11106, 518, 11006, 11085])).
% 16.18/10.99 tff(11108,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11109,plain,
% 16.18/10.99 ((~![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)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11110,plain,
% 16.18/10.99 ((~![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))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11109, 11108])).
% 16.18/10.99 tff(11111,plain,
% 16.18/10.99 (~m_main_v_state1(s134, c_t1)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11110, 539, 11061])).
% 16.18/10.99 tff(11112,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11113,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s134, c_t1) | (~node5(s134)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11114,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s134, c_t1) | (~node5(s134))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11113, 11112])).
% 16.18/10.99 tff(11115,plain,
% 16.18/10.99 (~node5(s134)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11114, 550, 11111])).
% 16.18/10.99 tff(11116,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11117,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s134, c_n2) | (~node4(s134)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11118,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s134, c_n2) | (~node4(s134))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11117, 11116])).
% 16.18/10.99 tff(11119,plain,
% 16.18/10.99 (~node4(s134)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11118, 388, 11010])).
% 16.18/10.99 tff(11120,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11121,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s134, c_c2) | (~node3(s134)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11122,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s134, c_c2) | (~node3(s134))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11121, 11120])).
% 16.18/10.99 tff(11123,plain,
% 16.18/10.99 (~node3(s134)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11122, 399, 11026])).
% 16.18/10.99 tff(11124,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11125,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s134, c_n2) | (~node2(s134)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11126,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s134, c_n2) | (~node2(s134))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11125, 11124])).
% 16.18/10.99 tff(11127,plain,
% 16.18/10.99 (~node2(s134)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11126, 410, 11010])).
% 16.18/10.99 tff(11128,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11129,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s134, c_n1) | (~node1(s134)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11130,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s134, c_n1) | (~node1(s134))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 16.18/10.99 tff(11131,plain,
% 16.18/10.99 (~node1(s134)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11130, 421, 11065])).
% 16.18/10.99 tff(11132,plain,
% 16.18/10.99 (((~![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))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11133,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s134, s135)) | node7(s134, s135))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11134,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s134, s135)) | node7(s134, s135)),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11133, 11132])).
% 16.18/10.99 tff(11135,plain,
% 16.18/10.99 (node7(s134, s135)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11134, 206, 11076])).
% 16.18/10.99 tff(11136,plain,
% 16.18/10.99 (((~![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(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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11137,plain,
% 16.18/10.99 (((~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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11138,plain,
% 16.18/10.99 (((~![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(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))))),
% 16.18/10.99 inference(monotonicity,[status(thm)],[11137])).
% 16.18/10.99 tff(11139,plain,
% 16.18/10.99 (((~![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(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)))),
% 16.18/10.99 inference(transitivity,[status(thm)],[11138, 11136])).
% 16.18/10.99 tff(11140,plain,
% 16.18/10.99 ((~![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(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)) | m_main_v_state1(s135, c_n1))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11141,plain,
% 16.18/10.99 ((~![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(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11140, 11139])).
% 16.18/10.99 tff(11142,plain,
% 16.18/10.99 (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11141, 584, 11135])).
% 16.18/10.99 tff(11143,plain,
% 16.18/10.99 (m_main_v_state1(s135, c_n1)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11142, 11131, 11061, 11127, 11123, 11119, 11115])).
% 16.18/10.99 tff(11144,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11145,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s135, c_n2) | (~node8(s135)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11146,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s135, c_n2) | (~node8(s135))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11145, 11144])).
% 16.18/10.99 tff(11147,plain,
% 16.18/10.99 (~node8(s135)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11146, 271, 11092])).
% 16.18/10.99 tff(11148,plain,
% 16.18/10.99 (succ(s135, s136) <=> succ(s135, s136)),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11149,axiom,(succ(s135, s136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound136')).
% 16.18/10.99 tff(11150,plain,
% 16.18/10.99 (succ(s135, s136)),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11149, 11148])).
% 16.18/10.99 tff(11151,plain,
% 16.18/10.99 (((~![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))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11152,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11153,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136)),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11152, 11151])).
% 16.18/10.99 tff(11154,plain,
% 16.18/10.99 (trans(s135, s136)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11153, 11150, 32])).
% 16.18/10.99 tff(11155,plain,
% 16.18/10.99 (((~![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))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11156,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s135, s136)) | node14(s135, s136))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11157,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s135, s136)) | node14(s135, s136)),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11156, 11155])).
% 16.18/10.99 tff(11158,plain,
% 16.18/10.99 (node14(s135, s136)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11157, 46, 11154])).
% 16.18/10.99 tff(11159,plain,
% 16.18/10.99 (((~![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(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))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11160,plain,
% 16.18/10.99 ((~![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(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))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11161,plain,
% 16.18/10.99 ((~![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(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)),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11160, 11159])).
% 16.18/10.99 tff(11162,plain,
% 16.18/10.99 ((~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)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11161, 617, 11158])).
% 16.18/10.99 tff(11163,plain,
% 16.18/10.99 (m_main_v_state2(s136, c_c2)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11162, 11147, 11143, 11107, 11100, 11096])).
% 16.18/10.99 tff(11164,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11165,plain,
% 16.18/10.99 ((~![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)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11166,plain,
% 16.18/10.99 ((~![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))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11165, 11164])).
% 16.18/10.99 tff(11167,plain,
% 16.18/10.99 (~m_main_v_state2(s136, c_t2)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11166, 260, 11163])).
% 16.18/10.99 tff(11168,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11169,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s136, c_t2) | (~node12(s136)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11170,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s136, c_t2) | (~node12(s136))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11169, 11168])).
% 16.18/10.99 tff(11171,plain,
% 16.18/10.99 (~node12(s136)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11170, 633, 11167])).
% 16.18/10.99 tff(11172,plain,
% 16.18/10.99 (((~![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))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11173,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s135, s136)) | node7(s135, s136))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11174,plain,
% 16.18/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s135, s136)) | node7(s135, s136)),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 16.18/10.99 tff(11175,plain,
% 16.18/10.99 (node7(s135, s136)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11174, 206, 11154])).
% 16.18/10.99 tff(11176,plain,
% 16.18/10.99 (((~![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(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))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11177,plain,
% 16.18/10.99 ((~![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(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11178,plain,
% 16.18/10.99 ((~![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(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1)),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11177, 11176])).
% 16.18/10.99 tff(11179,plain,
% 16.18/10.99 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | m_main_v_state1(s136, c_t1)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11178, 651, 11175])).
% 16.18/10.99 tff(11180,plain,
% 16.18/10.99 (m_main_v_state1(s136, c_t1)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11179, 11107, 11143])).
% 16.18/10.99 tff(11181,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11182,plain,
% 16.18/10.99 ((~![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)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11183,plain,
% 16.18/10.99 ((~![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))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11182, 11181])).
% 16.18/10.99 tff(11184,plain,
% 16.18/10.99 (~m_main_v_state1(s136, c_n1)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11183, 10, 11180])).
% 16.18/10.99 tff(11185,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/10.99 inference(rewrite,[status(thm)],[])).
% 16.18/10.99 tff(11186,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s136, c_n1) | (~node11(s136)))),
% 16.18/10.99 inference(quant_inst,[status(thm)],[])).
% 16.18/10.99 tff(11187,plain,
% 16.18/10.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s136, c_n1) | (~node11(s136))),
% 16.18/10.99 inference(modus_ponens,[status(thm)],[11186, 11185])).
% 16.18/10.99 tff(11188,plain,
% 16.18/10.99 (~node11(s136)),
% 16.18/10.99 inference(unit_resolution,[status(thm)],[11187, 238, 11184])).
% 16.18/10.99 tff(11189,plain,
% 16.18/10.99 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11190,plain,
% 16.18/11.00 ((~![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)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11191,plain,
% 16.18/11.00 ((~![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))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 16.18/11.00 tff(11192,plain,
% 16.18/11.00 (~m_main_v_state1(s136, c_c1)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11191, 539, 11180])).
% 16.18/11.00 tff(11193,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11194,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s136, c_c1) | (~node10(s136)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11195,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s136, c_c1) | (~node10(s136))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11194, 11193])).
% 16.18/11.00 tff(11196,plain,
% 16.18/11.00 (~node10(s136)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11195, 675, 11192])).
% 16.18/11.00 tff(11197,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11198,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s136, c_n1) | (~node9(s136)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11199,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s136, c_n1) | (~node9(s136))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 16.18/11.00 tff(11200,plain,
% 16.18/11.00 (~node9(s136)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11199, 686, 11184])).
% 16.18/11.00 tff(11201,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11202,plain,
% 16.18/11.00 ((~![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)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11203,plain,
% 16.18/11.00 ((~![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))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11202, 11201])).
% 16.18/11.00 tff(11204,plain,
% 16.18/11.00 (~m_main_v_state2(s136, c_n2)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11203, 697, 11163])).
% 16.18/11.00 tff(11205,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11206,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s136, c_n2) | (~node8(s136)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11207,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s136, c_n2) | (~node8(s136))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11206, 11205])).
% 16.18/11.00 tff(11208,plain,
% 16.18/11.00 (~node8(s136)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11207, 271, 11204])).
% 16.18/11.00 tff(11209,plain,
% 16.18/11.00 (succ(s136, s137) <=> succ(s136, s137)),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11210,axiom,(succ(s136, s137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound137')).
% 16.18/11.00 tff(11211,plain,
% 16.18/11.00 (succ(s136, s137)),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 16.18/11.00 tff(11212,plain,
% 16.18/11.00 (((~![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))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11213,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11214,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137)),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11213, 11212])).
% 16.18/11.00 tff(11215,plain,
% 16.18/11.00 (trans(s136, s137)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11214, 11211, 32])).
% 16.18/11.00 tff(11216,plain,
% 16.18/11.00 (((~![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))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11217,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s136, s137)) | node14(s136, s137))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11218,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s136, s137)) | node14(s136, s137)),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 16.18/11.00 tff(11219,plain,
% 16.18/11.00 (node14(s136, s137)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11218, 46, 11215])).
% 16.18/11.00 tff(11220,plain,
% 16.18/11.00 (((~![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(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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11221,plain,
% 16.18/11.00 (((~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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11222,plain,
% 16.18/11.00 (((~![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(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))))),
% 16.18/11.00 inference(monotonicity,[status(thm)],[11221])).
% 16.18/11.00 tff(11223,plain,
% 16.18/11.00 (((~![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(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)))),
% 16.18/11.00 inference(transitivity,[status(thm)],[11222, 11220])).
% 16.18/11.00 tff(11224,plain,
% 16.18/11.00 ((~![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(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11225,plain,
% 16.18/11.00 ((~![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(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11224, 11223])).
% 16.18/11.00 tff(11226,plain,
% 16.18/11.00 (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~m_main_v_state2(s136, c_c2))),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11225, 726, 11219])).
% 16.18/11.00 tff(11227,plain,
% 16.18/11.00 (m_main_v_state2(s137, c_n2)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11226, 11208, 11163, 11200, 11196, 11188, 11171])).
% 16.18/11.00 tff(11228,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11229,plain,
% 16.18/11.00 ((~![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)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11230,plain,
% 16.18/11.00 ((~![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))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11229, 11228])).
% 16.18/11.00 tff(11231,plain,
% 16.18/11.00 (~m_main_v_state2(s137, c_c2)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11230, 697, 11227])).
% 16.18/11.00 tff(11232,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11233,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s137, c_c2) | (~node3(s137)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11234,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s137, c_c2) | (~node3(s137))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11233, 11232])).
% 16.18/11.00 tff(11235,plain,
% 16.18/11.00 (~node3(s137)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11234, 399, 11231])).
% 16.18/11.00 tff(11236,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11237,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s136, c_n1) | (~node1(s136)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11238,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s136, c_n1) | (~node1(s136))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11237, 11236])).
% 16.18/11.00 tff(11239,plain,
% 16.18/11.00 (~node1(s136)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11238, 421, 11184])).
% 16.18/11.00 tff(11240,plain,
% 16.18/11.00 (((~![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))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11241,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s135, s136)) | node18(s135, s136))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11242,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s135, s136)) | node18(s135, s136)),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11241, 11240])).
% 16.18/11.00 tff(11243,plain,
% 16.18/11.00 (node18(s135, s136)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11242, 125, 11154])).
% 16.18/11.00 tff(11244,plain,
% 16.18/11.00 (((~![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(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))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11245,plain,
% 16.18/11.00 ((~![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(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11246,plain,
% 16.18/11.00 ((~![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(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2)),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11245, 11244])).
% 16.18/11.00 tff(11247,plain,
% 16.18/11.00 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | m_main_v_turn(s136, c_2)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11246, 760, 11243])).
% 16.18/11.00 tff(11248,plain,
% 16.18/11.00 (m_main_v_turn(s136, c_2)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11247, 11107, 11143])).
% 16.18/11.00 tff(11249,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11250,plain,
% 16.18/11.00 ((~![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)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11251,plain,
% 16.18/11.00 ((~![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))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11250, 11249])).
% 16.18/11.00 tff(11252,plain,
% 16.18/11.00 (~m_main_v_turn(s136, c_1)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11251, 156, 11248])).
% 16.18/11.00 tff(11253,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11254,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s136, c_1) | (~node5(s136)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11255,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s136, c_1) | (~node5(s136))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11254, 11253])).
% 16.18/11.00 tff(11256,plain,
% 16.18/11.00 (~node5(s136)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11255, 776, 11252])).
% 16.18/11.00 tff(11257,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11258,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s136, c_n1) | (~node2(s136)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11259,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s136, c_n1) | (~node2(s136))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11258, 11257])).
% 16.18/11.00 tff(11260,plain,
% 16.18/11.00 (~node2(s136)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11259, 787, 11184])).
% 16.18/11.00 tff(11261,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11262,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s136, c_n1) | (~node3(s136)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11263,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s136, c_n1) | (~node3(s136))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11262, 11261])).
% 16.18/11.00 tff(11264,plain,
% 16.18/11.00 (~node3(s136)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11263, 798, 11184])).
% 16.18/11.00 tff(11265,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11266,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s136, c_n2) | (~node4(s136)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11267,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s136, c_n2) | (~node4(s136))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11266, 11265])).
% 16.18/11.00 tff(11268,plain,
% 16.18/11.00 (~node4(s136)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11267, 388, 11204])).
% 16.18/11.00 tff(11269,plain,
% 16.18/11.00 (((~![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))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11270,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s136, s137)) | node7(s136, s137))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11271,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s136, s137)) | node7(s136, s137)),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11270, 11269])).
% 16.18/11.00 tff(11272,plain,
% 16.18/11.00 (node7(s136, s137)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11271, 206, 11215])).
% 16.18/11.00 tff(11273,plain,
% 16.18/11.00 (((~![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(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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11274,plain,
% 16.18/11.00 ((~![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(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11275,plain,
% 16.18/11.00 ((~![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(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11274, 11273])).
% 16.18/11.00 tff(11276,plain,
% 16.18/11.00 (m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11275, 820, 11272])).
% 16.18/11.00 tff(11277,plain,
% 16.18/11.00 (node6(s136, s137)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11276, 11268, 11192, 11264, 11260, 11256, 11239])).
% 16.18/11.00 tff(11278,plain,
% 16.18/11.00 (((~![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(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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11279,plain,
% 16.18/11.00 (((~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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11280,plain,
% 16.18/11.00 (((~![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))))),
% 16.18/11.00 inference(monotonicity,[status(thm)],[11279])).
% 16.18/11.00 tff(11281,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(transitivity,[status(thm)],[11280, 11278])).
% 16.18/11.00 tff(11282,plain,
% 16.18/11.00 ((~![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)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11283,plain,
% 16.18/11.00 ((~![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(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11282, 11281])).
% 16.18/11.00 tff(11284,plain,
% 16.18/11.00 (~m_main_v_state1(s137, c_n1)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11283, 835, 11184, 11277])).
% 16.18/11.00 tff(11285,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11286,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s137, c_n1) | (~node2(s137)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11287,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s137, c_n1) | (~node2(s137))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11286, 11285])).
% 16.18/11.00 tff(11288,plain,
% 16.18/11.00 (~node2(s137)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11287, 787, 11284])).
% 16.18/11.00 tff(11289,plain,
% 16.18/11.00 (((~![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(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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11290,plain,
% 16.18/11.00 (((~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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11291,plain,
% 16.18/11.00 (((~![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))))),
% 16.18/11.00 inference(monotonicity,[status(thm)],[11290])).
% 16.18/11.00 tff(11292,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(transitivity,[status(thm)],[11291, 11289])).
% 16.18/11.00 tff(11293,plain,
% 16.18/11.00 ((~![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))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11294,plain,
% 16.18/11.00 ((~![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(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11293, 11292])).
% 16.18/11.00 tff(11295,plain,
% 16.18/11.00 (m_main_v_state1(s137, c_t1)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11294, 856, 11180, 11277])).
% 16.18/11.00 tff(11296,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11297,plain,
% 16.18/11.00 ((~![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)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11298,plain,
% 16.18/11.00 ((~![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))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11297, 11296])).
% 16.18/11.00 tff(11299,plain,
% 16.18/11.00 (~m_main_v_state2(s137, c_t2)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11298, 77, 11227])).
% 16.18/11.00 tff(11300,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11301,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s137, c_t2) | (~node1(s137)))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11302,plain,
% 16.18/11.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s137, c_t2) | (~node1(s137))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11301, 11300])).
% 16.18/11.00 tff(11303,plain,
% 16.18/11.00 (~node1(s137)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11302, 195, 11299])).
% 16.18/11.00 tff(11304,plain,
% 16.18/11.00 (succ(s137, s138) <=> succ(s137, s138)),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11305,axiom,(succ(s137, s138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound138')).
% 16.18/11.00 tff(11306,plain,
% 16.18/11.00 (succ(s137, s138)),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11305, 11304])).
% 16.18/11.00 tff(11307,plain,
% 16.18/11.00 (((~![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))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11308,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11309,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138)),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 16.18/11.00 tff(11310,plain,
% 16.18/11.00 (trans(s137, s138)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11309, 11306, 32])).
% 16.18/11.00 tff(11311,plain,
% 16.18/11.00 (((~![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))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11312,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s137, s138)) | node7(s137, s138))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11313,plain,
% 16.18/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s137, s138)) | node7(s137, s138)),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 16.18/11.00 tff(11314,plain,
% 16.18/11.00 (node7(s137, s138)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11313, 206, 11310])).
% 16.18/11.00 tff(11315,plain,
% 16.18/11.00 (((~![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(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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11316,plain,
% 16.18/11.00 (((~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)))),
% 16.18/11.00 inference(rewrite,[status(thm)],[])).
% 16.18/11.00 tff(11317,plain,
% 16.18/11.00 (((~![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(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))))),
% 16.18/11.00 inference(monotonicity,[status(thm)],[11316])).
% 16.18/11.00 tff(11318,plain,
% 16.18/11.00 (((~![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(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)))),
% 16.18/11.00 inference(transitivity,[status(thm)],[11317, 11315])).
% 16.18/11.00 tff(11319,plain,
% 16.18/11.00 ((~![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(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))),
% 16.18/11.00 inference(quant_inst,[status(thm)],[])).
% 16.18/11.00 tff(11320,plain,
% 16.18/11.00 ((~![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(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))),
% 16.18/11.00 inference(modus_ponens,[status(thm)],[11319, 11318])).
% 16.18/11.00 tff(11321,plain,
% 16.18/11.00 ((~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)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11320, 892, 11314])).
% 16.18/11.00 tff(11322,plain,
% 16.18/11.00 (m_main_v_state1(s138, c_c1)),
% 16.18/11.00 inference(unit_resolution,[status(thm)],[11321, 11303, 11227, 11295, 11288, 11235])).
% 16.18/11.00 tff(11323,plain,
% 16.18/11.00 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11324,plain,
% 16.18/11.01 ((~![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)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11325,plain,
% 16.18/11.01 ((~![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))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11324, 11323])).
% 16.18/11.01 tff(11326,plain,
% 16.18/11.01 (~m_main_v_state1(s138, c_t1)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11325, 539, 11322])).
% 16.18/11.01 tff(11327,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11328,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s138, c_t1) | (~node5(s138)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11329,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s138, c_t1) | (~node5(s138))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11328, 11327])).
% 16.18/11.01 tff(11330,plain,
% 16.18/11.01 (~node5(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11329, 550, 11326])).
% 16.18/11.01 tff(11331,plain,
% 16.18/11.01 (((~![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))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11332,plain,
% 16.18/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s137, s138)) | node14(s137, s138))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11333,plain,
% 16.18/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s137, s138)) | node14(s137, s138)),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11332, 11331])).
% 16.18/11.01 tff(11334,plain,
% 16.18/11.01 (node14(s137, s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11333, 46, 11310])).
% 16.18/11.01 tff(11335,plain,
% 16.18/11.01 (((~![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(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))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11336,plain,
% 16.18/11.01 ((~![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(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11337,plain,
% 16.18/11.01 ((~![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(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2)),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11336, 11335])).
% 16.18/11.01 tff(11338,plain,
% 16.18/11.01 ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state2(s138, c_t2)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11337, 922, 11334])).
% 16.18/11.01 tff(11339,plain,
% 16.18/11.01 (m_main_v_state2(s138, c_t2)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11338, 11295, 11227])).
% 16.18/11.01 tff(11340,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11341,plain,
% 16.18/11.01 ((~![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)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11342,plain,
% 16.18/11.01 ((~![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))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 16.18/11.01 tff(11343,plain,
% 16.18/11.01 (~m_main_v_state2(s138, c_n2)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11342, 77, 11339])).
% 16.18/11.01 tff(11344,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11345,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s138, c_n2) | (~node4(s138)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11346,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s138, c_n2) | (~node4(s138))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11345, 11344])).
% 16.18/11.01 tff(11347,plain,
% 16.18/11.01 (~node4(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11346, 388, 11343])).
% 16.18/11.01 tff(11348,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11349,plain,
% 16.18/11.01 ((~![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)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11350,plain,
% 16.18/11.01 ((~![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))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11349, 11348])).
% 16.18/11.01 tff(11351,plain,
% 16.18/11.01 (~m_main_v_state2(s138, c_c2)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11350, 260, 11339])).
% 16.18/11.01 tff(11352,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11353,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s138, c_c2) | (~node3(s138)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11354,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s138, c_c2) | (~node3(s138))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11353, 11352])).
% 16.18/11.01 tff(11355,plain,
% 16.18/11.01 (~node3(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11354, 399, 11351])).
% 16.18/11.01 tff(11356,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11357,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s138, c_n2) | (~node2(s138)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11358,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s138, c_n2) | (~node2(s138))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11357, 11356])).
% 16.18/11.01 tff(11359,plain,
% 16.18/11.01 (~node2(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11358, 410, 11343])).
% 16.18/11.01 tff(11360,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11361,plain,
% 16.18/11.01 ((~![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)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11362,plain,
% 16.18/11.01 ((~![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))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11361, 11360])).
% 16.18/11.01 tff(11363,plain,
% 16.18/11.01 (~m_main_v_state1(s138, c_n1)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11362, 454, 11322])).
% 16.18/11.01 tff(11364,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11365,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s138, c_n1) | (~node1(s138)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11366,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s138, c_n1) | (~node1(s138))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11365, 11364])).
% 16.18/11.01 tff(11367,plain,
% 16.18/11.01 (~node1(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11366, 421, 11363])).
% 16.18/11.01 tff(11368,plain,
% 16.18/11.01 (succ(s138, s139) <=> succ(s138, s139)),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11369,axiom,(succ(s138, s139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound139')).
% 16.18/11.01 tff(11370,plain,
% 16.18/11.01 (succ(s138, s139)),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11369, 11368])).
% 16.18/11.01 tff(11371,plain,
% 16.18/11.01 (((~![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))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11372,plain,
% 16.18/11.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11373,plain,
% 16.18/11.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139)),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 16.18/11.01 tff(11374,plain,
% 16.18/11.01 (trans(s138, s139)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11373, 11370, 32])).
% 16.18/11.01 tff(11375,plain,
% 16.18/11.01 (((~![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))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11376,plain,
% 16.18/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s138, s139)) | node7(s138, s139))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11377,plain,
% 16.18/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s138, s139)) | node7(s138, s139)),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11376, 11375])).
% 16.18/11.01 tff(11378,plain,
% 16.18/11.01 (node7(s138, s139)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11377, 206, 11374])).
% 16.18/11.01 tff(11379,plain,
% 16.18/11.01 (((~![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(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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11380,plain,
% 16.18/11.01 (((~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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11381,plain,
% 16.18/11.01 (((~![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(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))))),
% 16.18/11.01 inference(monotonicity,[status(thm)],[11380])).
% 16.18/11.01 tff(11382,plain,
% 16.18/11.01 (((~![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(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)))),
% 16.18/11.01 inference(transitivity,[status(thm)],[11381, 11379])).
% 16.18/11.01 tff(11383,plain,
% 16.18/11.01 ((~![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(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)) | m_main_v_state1(s139, c_n1))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11384,plain,
% 16.18/11.01 ((~![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(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11383, 11382])).
% 16.18/11.01 tff(11385,plain,
% 16.18/11.01 (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11384, 584, 11378])).
% 16.18/11.01 tff(11386,plain,
% 16.18/11.01 (m_main_v_state1(s139, c_n1)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11385, 11367, 11322, 11359, 11355, 11347, 11330])).
% 16.18/11.01 tff(11387,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11388,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s137, c_t2) | (~node15(s137)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11389,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s137, c_t2) | (~node15(s137))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11388, 11387])).
% 16.18/11.01 tff(11390,plain,
% 16.18/11.01 (~node15(s137)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11389, 103, 11299])).
% 16.18/11.01 tff(11391,plain,
% 16.18/11.01 (((~![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))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11392,plain,
% 16.18/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s137, s138)) | node18(s137, s138))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11393,plain,
% 16.18/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s137, s138)) | node18(s137, s138)),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11392, 11391])).
% 16.18/11.01 tff(11394,plain,
% 16.18/11.01 (node18(s137, s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11393, 125, 11310])).
% 16.18/11.01 tff(11395,plain,
% 16.18/11.01 (((~![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(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))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11396,plain,
% 16.18/11.01 (((~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))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11397,plain,
% 16.18/11.01 (((~![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(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)))),
% 16.18/11.01 inference(monotonicity,[status(thm)],[11396])).
% 16.18/11.01 tff(11398,plain,
% 16.18/11.01 (((~![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(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))),
% 16.18/11.01 inference(transitivity,[status(thm)],[11397, 11395])).
% 16.18/11.01 tff(11399,plain,
% 16.18/11.01 ((~![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(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node15(s137) | (~node18(s137, s138)) | m_main_v_turn(s138, c_1))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11400,plain,
% 16.18/11.01 ((~![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(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)),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 16.18/11.01 tff(11401,plain,
% 16.18/11.01 (node15(s137) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11400, 992, 11394])).
% 16.18/11.01 tff(11402,plain,
% 16.18/11.01 (m_main_v_turn(s138, c_1)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11401, 11390, 11227, 11295])).
% 16.18/11.01 tff(11403,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11404,plain,
% 16.18/11.01 ((~![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)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11405,plain,
% 16.18/11.01 ((~![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))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11404, 11403])).
% 16.18/11.01 tff(11406,plain,
% 16.18/11.01 (~m_main_v_turn(s138, c_2)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11405, 156, 11402])).
% 16.18/11.01 tff(11407,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11408,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s138, c_2) | (~node12(s138)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11409,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s138, c_2) | (~node12(s138))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11408, 11407])).
% 16.18/11.01 tff(11410,plain,
% 16.18/11.01 (~node12(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11409, 184, 11406])).
% 16.18/11.01 tff(11411,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11412,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s138, c_n2) | (~node8(s138)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11413,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s138, c_n2) | (~node8(s138))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11412, 11411])).
% 16.18/11.01 tff(11414,plain,
% 16.18/11.01 (~node8(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11413, 271, 11343])).
% 16.18/11.01 tff(11415,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11416,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s138, c_n2) | (~node9(s138)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11417,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s138, c_n2) | (~node9(s138))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11416, 11415])).
% 16.18/11.01 tff(11418,plain,
% 16.18/11.01 (~node9(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11417, 88, 11343])).
% 16.18/11.01 tff(11419,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11420,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s138, c_n2) | (~node10(s138)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11421,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s138, c_n2) | (~node10(s138))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11420, 11419])).
% 16.18/11.01 tff(11422,plain,
% 16.18/11.01 (~node10(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11421, 249, 11343])).
% 16.18/11.01 tff(11423,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11424,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s138, c_n1) | (~node11(s138)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11425,plain,
% 16.18/11.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s138, c_n1) | (~node11(s138))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 16.18/11.01 tff(11426,plain,
% 16.18/11.01 (~node11(s138)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11425, 238, 11363])).
% 16.18/11.01 tff(11427,plain,
% 16.18/11.01 (((~![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))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11428,plain,
% 16.18/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s138, s139)) | node14(s138, s139))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11429,plain,
% 16.18/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s138, s139)) | node14(s138, s139)),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 16.18/11.01 tff(11430,plain,
% 16.18/11.01 (node14(s138, s139)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11429, 46, 11374])).
% 16.18/11.01 tff(11431,plain,
% 16.18/11.01 (((~![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(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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11432,plain,
% 16.18/11.01 ((~![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(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139)))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11433,plain,
% 16.18/11.01 ((~![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(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11432, 11431])).
% 16.18/11.01 tff(11434,plain,
% 16.18/11.01 (m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11433, 296, 11430])).
% 16.18/11.01 tff(11435,plain,
% 16.18/11.01 (node13(s138, s139)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11434, 11426, 11351, 11422, 11418, 11414, 11410])).
% 16.18/11.01 tff(11436,plain,
% 16.18/11.01 (((~![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(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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11437,plain,
% 16.18/11.01 (((~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)))),
% 16.18/11.01 inference(rewrite,[status(thm)],[])).
% 16.18/11.01 tff(11438,plain,
% 16.18/11.01 (((~![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))))),
% 16.18/11.01 inference(monotonicity,[status(thm)],[11437])).
% 16.18/11.01 tff(11439,plain,
% 16.18/11.01 (((~![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)))),
% 16.18/11.01 inference(transitivity,[status(thm)],[11438, 11436])).
% 16.18/11.01 tff(11440,plain,
% 16.18/11.01 ((~![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))),
% 16.18/11.01 inference(quant_inst,[status(thm)],[])).
% 16.18/11.01 tff(11441,plain,
% 16.18/11.01 ((~![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(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139))),
% 16.18/11.01 inference(modus_ponens,[status(thm)],[11440, 11439])).
% 16.18/11.01 tff(11442,plain,
% 16.18/11.01 (m_main_v_state2(s139, c_t2)),
% 16.18/11.01 inference(unit_resolution,[status(thm)],[11441, 518, 11339, 11435])).
% 16.18/11.02 tff(11443,plain,
% 16.18/11.02 (succ(s139, s140) <=> succ(s139, s140)),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11444,axiom,(succ(s139, s140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound140')).
% 16.18/11.02 tff(11445,plain,
% 16.18/11.02 (succ(s139, s140)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11444, 11443])).
% 16.18/11.02 tff(11446,plain,
% 16.18/11.02 (((~![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))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11447,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11448,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11447, 11446])).
% 16.18/11.02 tff(11449,plain,
% 16.18/11.02 (trans(s139, s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11448, 11445, 32])).
% 16.18/11.02 tff(11450,plain,
% 16.18/11.02 (((~![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))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11451,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s139, s140)) | node7(s139, s140))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11452,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s139, s140)) | node7(s139, s140)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11451, 11450])).
% 16.18/11.02 tff(11453,plain,
% 16.18/11.02 (node7(s139, s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11452, 206, 11449])).
% 16.18/11.02 tff(11454,plain,
% 16.18/11.02 (((~![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(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))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11455,plain,
% 16.18/11.02 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11456,plain,
% 16.18/11.02 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11455, 11454])).
% 16.18/11.02 tff(11457,plain,
% 16.18/11.02 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | m_main_v_state1(s140, c_t1)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11456, 651, 11453])).
% 16.18/11.02 tff(11458,plain,
% 16.18/11.02 (m_main_v_state1(s140, c_t1)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11457, 11442, 11386])).
% 16.18/11.02 tff(11459,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11460,plain,
% 16.18/11.02 ((~![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)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11461,plain,
% 16.18/11.02 ((~![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))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11460, 11459])).
% 16.18/11.02 tff(11462,plain,
% 16.18/11.02 (~m_main_v_state1(s140, c_n1)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11461, 10, 11458])).
% 16.18/11.02 tff(11463,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11464,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s140, c_n1) | (~node1(s140)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11465,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s140, c_n1) | (~node1(s140))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11464, 11463])).
% 16.18/11.02 tff(11466,plain,
% 16.18/11.02 (~node1(s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11465, 421, 11462])).
% 16.18/11.02 tff(11467,plain,
% 16.18/11.02 (((~![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))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11468,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s139, s140)) | node18(s139, s140))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11469,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s139, s140)) | node18(s139, s140)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11468, 11467])).
% 16.18/11.02 tff(11470,plain,
% 16.18/11.02 (node18(s139, s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11469, 125, 11449])).
% 16.18/11.02 tff(11471,plain,
% 16.18/11.02 (((~![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(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))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11472,plain,
% 16.18/11.02 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11473,plain,
% 16.18/11.02 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 16.18/11.02 tff(11474,plain,
% 16.18/11.02 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | m_main_v_turn(s140, c_2)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11473, 760, 11470])).
% 16.18/11.02 tff(11475,plain,
% 16.18/11.02 (m_main_v_turn(s140, c_2)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11474, 11442, 11386])).
% 16.18/11.02 tff(11476,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11477,plain,
% 16.18/11.02 ((~![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)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11478,plain,
% 16.18/11.02 ((~![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))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11477, 11476])).
% 16.18/11.02 tff(11479,plain,
% 16.18/11.02 (~m_main_v_turn(s140, c_1)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11478, 156, 11475])).
% 16.18/11.02 tff(11480,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11481,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s140, c_1) | (~node5(s140)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11482,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s140, c_1) | (~node5(s140))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11481, 11480])).
% 16.18/11.02 tff(11483,plain,
% 16.18/11.02 (~node5(s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11482, 776, 11479])).
% 16.18/11.02 tff(11484,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11485,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s140, c_n1) | (~node2(s140)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11486,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s140, c_n1) | (~node2(s140))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11485, 11484])).
% 16.18/11.02 tff(11487,plain,
% 16.18/11.02 (~node2(s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11486, 787, 11462])).
% 16.18/11.02 tff(11488,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11489,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s140, c_n1) | (~node3(s140)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11490,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s140, c_n1) | (~node3(s140))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11489, 11488])).
% 16.18/11.02 tff(11491,plain,
% 16.18/11.02 (~node3(s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11490, 798, 11462])).
% 16.18/11.02 tff(11492,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11493,plain,
% 16.18/11.02 ((~![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)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11494,plain,
% 16.18/11.02 ((~![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))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11493, 11492])).
% 16.18/11.02 tff(11495,plain,
% 16.18/11.02 (~m_main_v_state1(s140, c_c1)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11494, 539, 11458])).
% 16.18/11.02 tff(11496,plain,
% 16.18/11.02 (((~![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(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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11497,plain,
% 16.18/11.02 (((~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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11498,plain,
% 16.18/11.02 (((~![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))))),
% 16.18/11.02 inference(monotonicity,[status(thm)],[11497])).
% 16.18/11.02 tff(11499,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(transitivity,[status(thm)],[11498, 11496])).
% 16.18/11.02 tff(11500,plain,
% 16.18/11.02 ((~![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)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11501,plain,
% 16.18/11.02 ((~![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(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11500, 11499])).
% 16.18/11.02 tff(11502,plain,
% 16.18/11.02 (~m_main_v_state2(s139, c_n2)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11501, 311, 11343, 11435])).
% 16.18/11.02 tff(11503,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11504,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s139, c_n2) | (~node9(s139)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11505,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s139, c_n2) | (~node9(s139))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11504, 11503])).
% 16.18/11.02 tff(11506,plain,
% 16.18/11.02 (~node9(s139)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11505, 88, 11502])).
% 16.18/11.02 tff(11507,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11508,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s139, c_n2) | (~node10(s139)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11509,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s139, c_n2) | (~node10(s139))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11508, 11507])).
% 16.18/11.02 tff(11510,plain,
% 16.18/11.02 (~node10(s139)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11509, 249, 11502])).
% 16.18/11.02 tff(11511,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11512,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s139, c_n2) | (~node8(s139)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11513,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s139, c_n2) | (~node8(s139))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11512, 11511])).
% 16.18/11.02 tff(11514,plain,
% 16.18/11.02 (~node8(s139)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11513, 271, 11502])).
% 16.18/11.02 tff(11515,plain,
% 16.18/11.02 (((~![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))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11516,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s139, s140)) | node14(s139, s140))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11517,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s139, s140)) | node14(s139, s140)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11516, 11515])).
% 16.18/11.02 tff(11518,plain,
% 16.18/11.02 (node14(s139, s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11517, 46, 11449])).
% 16.18/11.02 tff(11519,plain,
% 16.18/11.02 (((~![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(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))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11520,plain,
% 16.18/11.02 ((~![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(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))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11521,plain,
% 16.18/11.02 ((~![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(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)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11520, 11519])).
% 16.18/11.02 tff(11522,plain,
% 16.18/11.02 ((~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)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11521, 617, 11518])).
% 16.18/11.02 tff(11523,plain,
% 16.18/11.02 (m_main_v_state2(s140, c_c2)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11522, 11514, 11386, 11442, 11510, 11506])).
% 16.18/11.02 tff(11524,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11525,plain,
% 16.18/11.02 ((~![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)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11526,plain,
% 16.18/11.02 ((~![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))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11525, 11524])).
% 16.18/11.02 tff(11527,plain,
% 16.18/11.02 (~m_main_v_state2(s140, c_n2)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11526, 697, 11523])).
% 16.18/11.02 tff(11528,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11529,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s140, c_n2) | (~node4(s140)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11530,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s140, c_n2) | (~node4(s140))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11529, 11528])).
% 16.18/11.02 tff(11531,plain,
% 16.18/11.02 (~node4(s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11530, 388, 11527])).
% 16.18/11.02 tff(11532,plain,
% 16.18/11.02 (succ(s140, s141) <=> succ(s140, s141)),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11533,axiom,(succ(s140, s141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound141')).
% 16.18/11.02 tff(11534,plain,
% 16.18/11.02 (succ(s140, s141)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11533, 11532])).
% 16.18/11.02 tff(11535,plain,
% 16.18/11.02 (((~![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))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11536,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11537,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11536, 11535])).
% 16.18/11.02 tff(11538,plain,
% 16.18/11.02 (trans(s140, s141)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11537, 11534, 32])).
% 16.18/11.02 tff(11539,plain,
% 16.18/11.02 (((~![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))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11540,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s140, s141)) | node7(s140, s141))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11541,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s140, s141)) | node7(s140, s141)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11540, 11539])).
% 16.18/11.02 tff(11542,plain,
% 16.18/11.02 (node7(s140, s141)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11541, 206, 11538])).
% 16.18/11.02 tff(11543,plain,
% 16.18/11.02 (((~![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(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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11544,plain,
% 16.18/11.02 ((~![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(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11545,plain,
% 16.18/11.02 ((~![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(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 16.18/11.02 tff(11546,plain,
% 16.18/11.02 (m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11545, 820, 11542])).
% 16.18/11.02 tff(11547,plain,
% 16.18/11.02 (node6(s140, s141)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11546, 11531, 11495, 11491, 11487, 11483, 11466])).
% 16.18/11.02 tff(11548,plain,
% 16.18/11.02 (((~![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(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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11549,plain,
% 16.18/11.02 (((~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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11550,plain,
% 16.18/11.02 (((~![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))))),
% 16.18/11.02 inference(monotonicity,[status(thm)],[11549])).
% 16.18/11.02 tff(11551,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(transitivity,[status(thm)],[11550, 11548])).
% 16.18/11.02 tff(11552,plain,
% 16.18/11.02 ((~![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))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11553,plain,
% 16.18/11.02 ((~![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(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 16.18/11.02 tff(11554,plain,
% 16.18/11.02 (m_main_v_state1(s141, c_t1)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11553, 856, 11458, 11547])).
% 16.18/11.02 tff(11555,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11556,plain,
% 16.18/11.02 ((~![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)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11557,plain,
% 16.18/11.02 ((~![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))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11556, 11555])).
% 16.18/11.02 tff(11558,plain,
% 16.18/11.02 (~m_main_v_state2(s140, c_t2)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11557, 260, 11523])).
% 16.18/11.02 tff(11559,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11560,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s140, c_t2) | (~node12(s140)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11561,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s140, c_t2) | (~node12(s140))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11560, 11559])).
% 16.18/11.02 tff(11562,plain,
% 16.18/11.02 (~node12(s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11561, 633, 11558])).
% 16.18/11.02 tff(11563,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11564,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s140, c_n1) | (~node11(s140)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11565,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s140, c_n1) | (~node11(s140))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11564, 11563])).
% 16.18/11.02 tff(11566,plain,
% 16.18/11.02 (~node11(s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11565, 238, 11462])).
% 16.18/11.02 tff(11567,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11568,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s140, c_c1) | (~node10(s140)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11569,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s140, c_c1) | (~node10(s140))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11568, 11567])).
% 16.18/11.02 tff(11570,plain,
% 16.18/11.02 (~node10(s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11569, 675, 11495])).
% 16.18/11.02 tff(11571,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11572,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s140, c_n1) | (~node9(s140)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11573,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s140, c_n1) | (~node9(s140))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11572, 11571])).
% 16.18/11.02 tff(11574,plain,
% 16.18/11.02 (~node9(s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11573, 686, 11462])).
% 16.18/11.02 tff(11575,plain,
% 16.18/11.02 (((~![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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11576,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s140, c_n2) | (~node8(s140)))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11577,plain,
% 16.18/11.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s140, c_n2) | (~node8(s140))),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11576, 11575])).
% 16.18/11.02 tff(11578,plain,
% 16.18/11.02 (~node8(s140)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11577, 271, 11527])).
% 16.18/11.02 tff(11579,plain,
% 16.18/11.02 (((~![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))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11580,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s140, s141)) | node14(s140, s141))),
% 16.18/11.02 inference(quant_inst,[status(thm)],[])).
% 16.18/11.02 tff(11581,plain,
% 16.18/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s140, s141)) | node14(s140, s141)),
% 16.18/11.02 inference(modus_ponens,[status(thm)],[11580, 11579])).
% 16.18/11.02 tff(11582,plain,
% 16.18/11.02 (node14(s140, s141)),
% 16.18/11.02 inference(unit_resolution,[status(thm)],[11581, 46, 11538])).
% 16.18/11.02 tff(11583,plain,
% 16.18/11.02 (((~![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(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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11584,plain,
% 16.18/11.02 (((~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)))),
% 16.18/11.02 inference(rewrite,[status(thm)],[])).
% 16.18/11.02 tff(11585,plain,
% 16.18/11.02 (((~![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(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))))),
% 16.18/11.02 inference(monotonicity,[status(thm)],[11584])).
% 16.18/11.02 tff(11586,plain,
% 16.18/11.02 (((~![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(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)))),
% 16.18/11.03 inference(transitivity,[status(thm)],[11585, 11583])).
% 16.18/11.03 tff(11587,plain,
% 16.18/11.03 ((~![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(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11588,plain,
% 16.18/11.03 ((~![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(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11587, 11586])).
% 16.18/11.03 tff(11589,plain,
% 16.18/11.03 (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~m_main_v_state2(s140, c_c2))),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11588, 726, 11582])).
% 16.18/11.03 tff(11590,plain,
% 16.18/11.03 (m_main_v_state2(s141, c_n2)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11589, 11578, 11523, 11574, 11570, 11566, 11562])).
% 16.18/11.03 tff(11591,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11592,plain,
% 16.18/11.03 ((~![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)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11593,plain,
% 16.18/11.03 ((~![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))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11592, 11591])).
% 16.18/11.03 tff(11594,plain,
% 16.18/11.03 (~m_main_v_state2(s141, c_t2)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11593, 77, 11590])).
% 16.18/11.03 tff(11595,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11596,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s141, c_t2) | (~node15(s141)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11597,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s141, c_t2) | (~node15(s141))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11596, 11595])).
% 16.18/11.03 tff(11598,plain,
% 16.18/11.03 (~node15(s141)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11597, 103, 11594])).
% 16.18/11.03 tff(11599,plain,
% 16.18/11.03 (succ(s141, s142) <=> succ(s141, s142)),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11600,axiom,(succ(s141, s142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound142')).
% 16.18/11.03 tff(11601,plain,
% 16.18/11.03 (succ(s141, s142)),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11600, 11599])).
% 16.18/11.03 tff(11602,plain,
% 16.18/11.03 (((~![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))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11603,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11604,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142)),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11603, 11602])).
% 16.18/11.03 tff(11605,plain,
% 16.18/11.03 (trans(s141, s142)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11604, 11601, 32])).
% 16.18/11.03 tff(11606,plain,
% 16.18/11.03 (((~![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))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11607,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s141, s142)) | node18(s141, s142))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11608,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s141, s142)) | node18(s141, s142)),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11607, 11606])).
% 16.18/11.03 tff(11609,plain,
% 16.18/11.03 (node18(s141, s142)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11608, 125, 11605])).
% 16.18/11.03 tff(11610,plain,
% 16.18/11.03 (((~![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(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))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11611,plain,
% 16.18/11.03 (((~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))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11612,plain,
% 16.18/11.03 (((~![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(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)))),
% 16.18/11.03 inference(monotonicity,[status(thm)],[11611])).
% 16.18/11.03 tff(11613,plain,
% 16.18/11.03 (((~![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(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))),
% 16.18/11.03 inference(transitivity,[status(thm)],[11612, 11610])).
% 16.18/11.03 tff(11614,plain,
% 16.18/11.03 ((~![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(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11615,plain,
% 16.18/11.03 ((~![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(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)),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11614, 11613])).
% 16.18/11.03 tff(11616,plain,
% 16.18/11.03 (node15(s141) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11615, 992, 11609])).
% 16.18/11.03 tff(11617,plain,
% 16.18/11.03 (m_main_v_turn(s142, c_1)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11616, 11598, 11590, 11554])).
% 16.18/11.03 tff(11618,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11619,plain,
% 16.18/11.03 ((~![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)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11620,plain,
% 16.18/11.03 ((~![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))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11619, 11618])).
% 16.18/11.03 tff(11621,plain,
% 16.18/11.03 (~m_main_v_turn(s142, c_2)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11620, 156, 11617])).
% 16.18/11.03 tff(11622,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11623,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s142, c_2) | (~node12(s142)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11624,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s142, c_2) | (~node12(s142))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 16.18/11.03 tff(11625,plain,
% 16.18/11.03 (~node12(s142)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11624, 184, 11621])).
% 16.18/11.03 tff(11626,plain,
% 16.18/11.03 (((~![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))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11627,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s141, s142)) | node14(s141, s142))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11628,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s141, s142)) | node14(s141, s142)),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11627, 11626])).
% 16.18/11.03 tff(11629,plain,
% 16.18/11.03 (node14(s141, s142)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11628, 46, 11605])).
% 16.18/11.03 tff(11630,plain,
% 16.18/11.03 (((~![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(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))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11631,plain,
% 16.18/11.03 ((~![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(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11632,plain,
% 16.18/11.03 ((~![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(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2)),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 16.18/11.03 tff(11633,plain,
% 16.18/11.03 ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state2(s142, c_t2)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11632, 922, 11629])).
% 16.18/11.03 tff(11634,plain,
% 16.18/11.03 (m_main_v_state2(s142, c_t2)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11633, 11554, 11590])).
% 16.18/11.03 tff(11635,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11636,plain,
% 16.18/11.03 ((~![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)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11637,plain,
% 16.18/11.03 ((~![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))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11636, 11635])).
% 16.18/11.03 tff(11638,plain,
% 16.18/11.03 (~m_main_v_state2(s142, c_n2)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11637, 77, 11634])).
% 16.18/11.03 tff(11639,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11640,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s142, c_n2) | (~node8(s142)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11641,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s142, c_n2) | (~node8(s142))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11640, 11639])).
% 16.18/11.03 tff(11642,plain,
% 16.18/11.03 (~node8(s142)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11641, 271, 11638])).
% 16.18/11.03 tff(11643,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11644,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s142, c_n2) | (~node9(s142)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11645,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s142, c_n2) | (~node9(s142))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11644, 11643])).
% 16.18/11.03 tff(11646,plain,
% 16.18/11.03 (~node9(s142)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11645, 88, 11638])).
% 16.18/11.03 tff(11647,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11648,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s142, c_n2) | (~node10(s142)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11649,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s142, c_n2) | (~node10(s142))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11648, 11647])).
% 16.18/11.03 tff(11650,plain,
% 16.18/11.03 (~node10(s142)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11649, 249, 11638])).
% 16.18/11.03 tff(11651,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11652,plain,
% 16.18/11.03 ((~![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)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11653,plain,
% 16.18/11.03 ((~![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))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11652, 11651])).
% 16.18/11.03 tff(11654,plain,
% 16.18/11.03 (~m_main_v_state2(s142, c_c2)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11653, 260, 11634])).
% 16.18/11.03 tff(11655,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11656,plain,
% 16.18/11.03 ((~![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)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11657,plain,
% 16.18/11.03 ((~![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))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11656, 11655])).
% 16.18/11.03 tff(11658,plain,
% 16.18/11.03 (~m_main_v_state2(s141, c_c2)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11657, 697, 11590])).
% 16.18/11.03 tff(11659,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11660,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s141, c_c2) | (~node3(s141)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11661,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s141, c_c2) | (~node3(s141))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11660, 11659])).
% 16.18/11.03 tff(11662,plain,
% 16.18/11.03 (~node3(s141)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11661, 399, 11658])).
% 16.18/11.03 tff(11663,plain,
% 16.18/11.03 (((~![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(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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11664,plain,
% 16.18/11.03 (((~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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11665,plain,
% 16.18/11.03 (((~![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))))),
% 16.18/11.03 inference(monotonicity,[status(thm)],[11664])).
% 16.18/11.03 tff(11666,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(transitivity,[status(thm)],[11665, 11663])).
% 16.18/11.03 tff(11667,plain,
% 16.18/11.03 ((~![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)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11668,plain,
% 16.18/11.03 ((~![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(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11667, 11666])).
% 16.18/11.03 tff(11669,plain,
% 16.18/11.03 (~m_main_v_state1(s141, c_n1)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11668, 835, 11462, 11547])).
% 16.18/11.03 tff(11670,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11671,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s141, c_n1) | (~node2(s141)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11672,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s141, c_n1) | (~node2(s141))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11671, 11670])).
% 16.18/11.03 tff(11673,plain,
% 16.18/11.03 (~node2(s141)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11672, 787, 11669])).
% 16.18/11.03 tff(11674,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11675,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s141, c_t2) | (~node1(s141)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11676,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s141, c_t2) | (~node1(s141))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11675, 11674])).
% 16.18/11.03 tff(11677,plain,
% 16.18/11.03 (~node1(s141)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11676, 195, 11594])).
% 16.18/11.03 tff(11678,plain,
% 16.18/11.03 (((~![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))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11679,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s141, s142)) | node7(s141, s142))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11680,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s141, s142)) | node7(s141, s142)),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11679, 11678])).
% 16.18/11.03 tff(11681,plain,
% 16.18/11.03 (node7(s141, s142)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11680, 206, 11605])).
% 16.18/11.03 tff(11682,plain,
% 16.18/11.03 (((~![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(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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11683,plain,
% 16.18/11.03 (((~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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11684,plain,
% 16.18/11.03 (((~![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(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))))),
% 16.18/11.03 inference(monotonicity,[status(thm)],[11683])).
% 16.18/11.03 tff(11685,plain,
% 16.18/11.03 (((~![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(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)))),
% 16.18/11.03 inference(transitivity,[status(thm)],[11684, 11682])).
% 16.18/11.03 tff(11686,plain,
% 16.18/11.03 ((~![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(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))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11687,plain,
% 16.18/11.03 ((~![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(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))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 16.18/11.03 tff(11688,plain,
% 16.18/11.03 ((~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)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11687, 892, 11681])).
% 16.18/11.03 tff(11689,plain,
% 16.18/11.03 (m_main_v_state1(s142, c_c1)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11688, 11677, 11590, 11554, 11673, 11662])).
% 16.18/11.03 tff(11690,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11691,plain,
% 16.18/11.03 ((~![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)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11692,plain,
% 16.18/11.03 ((~![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))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11691, 11690])).
% 16.18/11.03 tff(11693,plain,
% 16.18/11.03 (~m_main_v_state1(s142, c_n1)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11692, 454, 11689])).
% 16.18/11.03 tff(11694,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11695,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s142, c_n1) | (~node11(s142)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11696,plain,
% 16.18/11.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s142, c_n1) | (~node11(s142))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11695, 11694])).
% 16.18/11.03 tff(11697,plain,
% 16.18/11.03 (~node11(s142)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11696, 238, 11693])).
% 16.18/11.03 tff(11698,plain,
% 16.18/11.03 (succ(s142, s143) <=> succ(s142, s143)),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11699,axiom,(succ(s142, s143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound143')).
% 16.18/11.03 tff(11700,plain,
% 16.18/11.03 (succ(s142, s143)),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11699, 11698])).
% 16.18/11.03 tff(11701,plain,
% 16.18/11.03 (((~![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))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11702,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11703,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143)),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 16.18/11.03 tff(11704,plain,
% 16.18/11.03 (trans(s142, s143)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11703, 11700, 32])).
% 16.18/11.03 tff(11705,plain,
% 16.18/11.03 (((~![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))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11706,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s142, s143)) | node14(s142, s143))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11707,plain,
% 16.18/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s142, s143)) | node14(s142, s143)),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11706, 11705])).
% 16.18/11.03 tff(11708,plain,
% 16.18/11.03 (node14(s142, s143)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11707, 46, 11704])).
% 16.18/11.03 tff(11709,plain,
% 16.18/11.03 (((~![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(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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11710,plain,
% 16.18/11.03 ((~![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(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143)))),
% 16.18/11.03 inference(quant_inst,[status(thm)],[])).
% 16.18/11.03 tff(11711,plain,
% 16.18/11.03 ((~![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(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143))),
% 16.18/11.03 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 16.18/11.03 tff(11712,plain,
% 16.18/11.03 (m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11711, 296, 11708])).
% 16.18/11.03 tff(11713,plain,
% 16.18/11.03 (node13(s142, s143)),
% 16.18/11.03 inference(unit_resolution,[status(thm)],[11712, 11697, 11654, 11650, 11646, 11642, 11625])).
% 16.18/11.03 tff(11714,plain,
% 16.18/11.03 (((~![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(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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11715,plain,
% 16.18/11.03 (((~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)))),
% 16.18/11.03 inference(rewrite,[status(thm)],[])).
% 16.18/11.03 tff(11716,plain,
% 16.18/11.03 (((~![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))))),
% 16.18/11.03 inference(monotonicity,[status(thm)],[11715])).
% 16.18/11.03 tff(11717,plain,
% 16.18/11.03 (((~![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)))),
% 16.18/11.04 inference(transitivity,[status(thm)],[11716, 11714])).
% 16.18/11.04 tff(11718,plain,
% 16.18/11.04 ((~![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)))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11719,plain,
% 16.18/11.04 ((~![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(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11718, 11717])).
% 16.18/11.04 tff(11720,plain,
% 16.18/11.04 (~m_main_v_state2(s143, c_n2)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11719, 311, 11638, 11713])).
% 16.18/11.04 tff(11721,plain,
% 16.18/11.04 (((~![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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11722,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s143, c_n2) | (~node9(s143)))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11723,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s143, c_n2) | (~node9(s143))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11722, 11721])).
% 16.18/11.04 tff(11724,plain,
% 16.18/11.04 (~node9(s143)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11723, 88, 11720])).
% 16.18/11.04 tff(11725,plain,
% 16.18/11.04 (((~![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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11726,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s143, c_n2) | (~node10(s143)))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11727,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s143, c_n2) | (~node10(s143))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11726, 11725])).
% 16.18/11.04 tff(11728,plain,
% 16.18/11.04 (~node10(s143)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11727, 249, 11720])).
% 16.18/11.04 tff(11729,plain,
% 16.18/11.04 (((~![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(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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11730,plain,
% 16.18/11.04 (((~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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11731,plain,
% 16.18/11.04 (((~![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))))),
% 16.18/11.04 inference(monotonicity,[status(thm)],[11730])).
% 16.18/11.04 tff(11732,plain,
% 16.18/11.04 (((~![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)))),
% 16.18/11.04 inference(transitivity,[status(thm)],[11731, 11729])).
% 16.18/11.04 tff(11733,plain,
% 16.18/11.04 ((~![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))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11734,plain,
% 16.18/11.04 ((~![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(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11733, 11732])).
% 16.18/11.04 tff(11735,plain,
% 16.18/11.04 (m_main_v_state2(s143, c_t2)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11734, 518, 11634, 11713])).
% 16.18/11.04 tff(11736,plain,
% 16.18/11.04 (((~![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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11737,plain,
% 16.18/11.04 ((~![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)))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11738,plain,
% 16.18/11.04 ((~![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))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11737, 11736])).
% 16.18/11.04 tff(11739,plain,
% 16.18/11.04 (~m_main_v_state1(s142, c_t1)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11738, 539, 11689])).
% 16.18/11.04 tff(11740,plain,
% 16.18/11.04 (((~![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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11741,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s142, c_t1) | (~node5(s142)))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11742,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s142, c_t1) | (~node5(s142))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11741, 11740])).
% 16.18/11.04 tff(11743,plain,
% 16.18/11.04 (~node5(s142)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11742, 550, 11739])).
% 16.18/11.04 tff(11744,plain,
% 16.18/11.04 (((~![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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11745,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s142, c_n2) | (~node4(s142)))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11746,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s142, c_n2) | (~node4(s142))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11745, 11744])).
% 16.18/11.04 tff(11747,plain,
% 16.18/11.04 (~node4(s142)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11746, 388, 11638])).
% 16.18/11.04 tff(11748,plain,
% 16.18/11.04 (((~![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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11749,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s142, c_c2) | (~node3(s142)))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11750,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s142, c_c2) | (~node3(s142))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11749, 11748])).
% 16.18/11.04 tff(11751,plain,
% 16.18/11.04 (~node3(s142)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11750, 399, 11654])).
% 16.18/11.04 tff(11752,plain,
% 16.18/11.04 (((~![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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11753,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s142, c_n2) | (~node2(s142)))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11754,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s142, c_n2) | (~node2(s142))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11753, 11752])).
% 16.18/11.04 tff(11755,plain,
% 16.18/11.04 (~node2(s142)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11754, 410, 11638])).
% 16.18/11.04 tff(11756,plain,
% 16.18/11.04 (((~![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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11757,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s142, c_n1) | (~node1(s142)))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11758,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s142, c_n1) | (~node1(s142))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11757, 11756])).
% 16.18/11.04 tff(11759,plain,
% 16.18/11.04 (~node1(s142)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11758, 421, 11693])).
% 16.18/11.04 tff(11760,plain,
% 16.18/11.04 (((~![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))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11761,plain,
% 16.18/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s142, s143)) | node7(s142, s143))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11762,plain,
% 16.18/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s142, s143)) | node7(s142, s143)),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11761, 11760])).
% 16.18/11.04 tff(11763,plain,
% 16.18/11.04 (node7(s142, s143)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11762, 206, 11704])).
% 16.18/11.04 tff(11764,plain,
% 16.18/11.04 (((~![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(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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11765,plain,
% 16.18/11.04 (((~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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11766,plain,
% 16.18/11.04 (((~![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(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))))),
% 16.18/11.04 inference(monotonicity,[status(thm)],[11765])).
% 16.18/11.04 tff(11767,plain,
% 16.18/11.04 (((~![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(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)))),
% 16.18/11.04 inference(transitivity,[status(thm)],[11766, 11764])).
% 16.18/11.04 tff(11768,plain,
% 16.18/11.04 ((~![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(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)) | m_main_v_state1(s143, c_n1))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11769,plain,
% 16.18/11.04 ((~![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(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11768, 11767])).
% 16.18/11.04 tff(11770,plain,
% 16.18/11.04 (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11769, 584, 11763])).
% 16.18/11.04 tff(11771,plain,
% 16.18/11.04 (m_main_v_state1(s143, c_n1)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11770, 11759, 11689, 11755, 11751, 11747, 11743])).
% 16.18/11.04 tff(11772,plain,
% 16.18/11.04 (((~![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)))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11773,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s143, c_n2) | (~node8(s143)))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11774,plain,
% 16.18/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s143, c_n2) | (~node8(s143))),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11773, 11772])).
% 16.18/11.04 tff(11775,plain,
% 16.18/11.04 (~node8(s143)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11774, 271, 11720])).
% 16.18/11.04 tff(11776,plain,
% 16.18/11.04 (succ(s143, s144) <=> succ(s143, s144)),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11777,axiom,(succ(s143, s144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound144')).
% 16.18/11.04 tff(11778,plain,
% 16.18/11.04 (succ(s143, s144)),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11777, 11776])).
% 16.18/11.04 tff(11779,plain,
% 16.18/11.04 (((~![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))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11780,plain,
% 16.18/11.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11781,plain,
% 16.18/11.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144)),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11780, 11779])).
% 16.18/11.04 tff(11782,plain,
% 16.18/11.04 (trans(s143, s144)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11781, 11778, 32])).
% 16.18/11.04 tff(11783,plain,
% 16.18/11.04 (((~![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))),
% 16.18/11.04 inference(rewrite,[status(thm)],[])).
% 16.18/11.04 tff(11784,plain,
% 16.18/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s143, s144)) | node14(s143, s144))),
% 16.18/11.04 inference(quant_inst,[status(thm)],[])).
% 16.18/11.04 tff(11785,plain,
% 16.18/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s143, s144)) | node14(s143, s144)),
% 16.18/11.04 inference(modus_ponens,[status(thm)],[11784, 11783])).
% 16.18/11.04 tff(11786,plain,
% 16.18/11.04 (node14(s143, s144)),
% 16.18/11.04 inference(unit_resolution,[status(thm)],[11785, 46, 11782])).
% 16.18/11.04 tff(11787,plain,
% 16.18/11.04 (((~![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(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))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11788,plain,
% 16.25/11.04 ((~![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(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))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11789,plain,
% 16.25/11.04 ((~![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(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)),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11788, 11787])).
% 16.25/11.04 tff(11790,plain,
% 16.25/11.04 ((~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)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11789, 617, 11786])).
% 16.25/11.04 tff(11791,plain,
% 16.25/11.04 (m_main_v_state2(s144, c_c2)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11790, 11775, 11771, 11735, 11728, 11724])).
% 16.25/11.04 tff(11792,plain,
% 16.25/11.04 (((~![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)))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11793,plain,
% 16.25/11.04 ((~![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)))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11794,plain,
% 16.25/11.04 ((~![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))),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 16.25/11.04 tff(11795,plain,
% 16.25/11.04 (~m_main_v_state2(s144, c_t2)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11794, 260, 11791])).
% 16.25/11.04 tff(11796,plain,
% 16.25/11.04 (((~![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)))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11797,plain,
% 16.25/11.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s144, c_t2) | (~node12(s144)))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11798,plain,
% 16.25/11.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s144, c_t2) | (~node12(s144))),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11797, 11796])).
% 16.25/11.04 tff(11799,plain,
% 16.25/11.04 (~node12(s144)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11798, 633, 11795])).
% 16.25/11.04 tff(11800,plain,
% 16.25/11.04 (((~![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))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11801,plain,
% 16.25/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s143, s144)) | node7(s143, s144))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11802,plain,
% 16.25/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s143, s144)) | node7(s143, s144)),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11801, 11800])).
% 16.25/11.04 tff(11803,plain,
% 16.25/11.04 (node7(s143, s144)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11802, 206, 11782])).
% 16.25/11.04 tff(11804,plain,
% 16.25/11.04 (((~![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(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))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11805,plain,
% 16.25/11.04 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11806,plain,
% 16.25/11.04 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1)),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11805, 11804])).
% 16.25/11.04 tff(11807,plain,
% 16.25/11.04 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | m_main_v_state1(s144, c_t1)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11806, 651, 11803])).
% 16.25/11.04 tff(11808,plain,
% 16.25/11.04 (m_main_v_state1(s144, c_t1)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11807, 11735, 11771])).
% 16.25/11.04 tff(11809,plain,
% 16.25/11.04 (((~![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)))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11810,plain,
% 16.25/11.04 ((~![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)))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11811,plain,
% 16.25/11.04 ((~![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))),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11810, 11809])).
% 16.25/11.04 tff(11812,plain,
% 16.25/11.04 (~m_main_v_state1(s144, c_n1)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11811, 10, 11808])).
% 16.25/11.04 tff(11813,plain,
% 16.25/11.04 (((~![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)))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11814,plain,
% 16.25/11.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s144, c_n1) | (~node11(s144)))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11815,plain,
% 16.25/11.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s144, c_n1) | (~node11(s144))),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11814, 11813])).
% 16.25/11.04 tff(11816,plain,
% 16.25/11.04 (~node11(s144)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11815, 238, 11812])).
% 16.25/11.04 tff(11817,plain,
% 16.25/11.04 (((~![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)))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11818,plain,
% 16.25/11.04 ((~![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)))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11819,plain,
% 16.25/11.04 ((~![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))),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11818, 11817])).
% 16.25/11.04 tff(11820,plain,
% 16.25/11.04 (~m_main_v_state1(s144, c_c1)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11819, 539, 11808])).
% 16.25/11.04 tff(11821,plain,
% 16.25/11.04 (((~![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)))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11822,plain,
% 16.25/11.04 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s144, c_c1) | (~node10(s144)))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11823,plain,
% 16.25/11.04 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s144, c_c1) | (~node10(s144))),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11822, 11821])).
% 16.25/11.04 tff(11824,plain,
% 16.25/11.04 (~node10(s144)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11823, 675, 11820])).
% 16.25/11.04 tff(11825,plain,
% 16.25/11.04 (((~![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)))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11826,plain,
% 16.25/11.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s144, c_n1) | (~node9(s144)))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11827,plain,
% 16.25/11.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s144, c_n1) | (~node9(s144))),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11826, 11825])).
% 16.25/11.04 tff(11828,plain,
% 16.25/11.04 (~node9(s144)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11827, 686, 11812])).
% 16.25/11.04 tff(11829,plain,
% 16.25/11.04 (((~![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)))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11830,plain,
% 16.25/11.04 ((~![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)))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11831,plain,
% 16.25/11.04 ((~![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))),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11830, 11829])).
% 16.25/11.04 tff(11832,plain,
% 16.25/11.04 (~m_main_v_state2(s144, c_n2)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11831, 697, 11791])).
% 16.25/11.04 tff(11833,plain,
% 16.25/11.04 (((~![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)))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11834,plain,
% 16.25/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s144, c_n2) | (~node8(s144)))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11835,plain,
% 16.25/11.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s144, c_n2) | (~node8(s144))),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11834, 11833])).
% 16.25/11.04 tff(11836,plain,
% 16.25/11.04 (~node8(s144)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11835, 271, 11832])).
% 16.25/11.04 tff(11837,plain,
% 16.25/11.04 (succ(s144, s145) <=> succ(s144, s145)),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11838,axiom,(succ(s144, s145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound145')).
% 16.25/11.04 tff(11839,plain,
% 16.25/11.04 (succ(s144, s145)),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11838, 11837])).
% 16.25/11.04 tff(11840,plain,
% 16.25/11.04 (((~![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))),
% 16.25/11.04 inference(rewrite,[status(thm)],[])).
% 16.25/11.04 tff(11841,plain,
% 16.25/11.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))),
% 16.25/11.04 inference(quant_inst,[status(thm)],[])).
% 16.25/11.04 tff(11842,plain,
% 16.25/11.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145)),
% 16.25/11.04 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 16.25/11.04 tff(11843,plain,
% 16.25/11.04 (trans(s144, s145)),
% 16.25/11.04 inference(unit_resolution,[status(thm)],[11842, 11839, 32])).
% 16.25/11.04 tff(11844,plain,
% 16.25/11.04 (((~![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))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11845,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s144, s145)) | node14(s144, s145))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11846,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s144, s145)) | node14(s144, s145)),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11845, 11844])).
% 16.25/11.05 tff(11847,plain,
% 16.25/11.05 (node14(s144, s145)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11846, 46, 11843])).
% 16.25/11.05 tff(11848,plain,
% 16.25/11.05 (((~![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(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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11849,plain,
% 16.25/11.05 (((~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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11850,plain,
% 16.25/11.05 (((~![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(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))))),
% 16.25/11.05 inference(monotonicity,[status(thm)],[11849])).
% 16.25/11.05 tff(11851,plain,
% 16.25/11.05 (((~![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(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)))),
% 16.25/11.05 inference(transitivity,[status(thm)],[11850, 11848])).
% 16.25/11.05 tff(11852,plain,
% 16.25/11.05 ((~![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(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11853,plain,
% 16.25/11.05 ((~![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(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11852, 11851])).
% 16.25/11.05 tff(11854,plain,
% 16.25/11.05 (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~m_main_v_state2(s144, c_c2))),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11853, 726, 11847])).
% 16.25/11.05 tff(11855,plain,
% 16.25/11.05 (m_main_v_state2(s145, c_n2)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11854, 11836, 11791, 11828, 11824, 11816, 11799])).
% 16.25/11.05 tff(11856,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11857,plain,
% 16.25/11.05 ((~![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)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11858,plain,
% 16.25/11.05 ((~![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))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11857, 11856])).
% 16.25/11.05 tff(11859,plain,
% 16.25/11.05 (~m_main_v_state2(s145, c_c2)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11858, 697, 11855])).
% 16.25/11.05 tff(11860,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11861,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s145, c_c2) | (~node3(s145)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11862,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s145, c_c2) | (~node3(s145))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11861, 11860])).
% 16.25/11.05 tff(11863,plain,
% 16.25/11.05 (~node3(s145)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11862, 399, 11859])).
% 16.25/11.05 tff(11864,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11865,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s144, c_n1) | (~node1(s144)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11866,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s144, c_n1) | (~node1(s144))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11865, 11864])).
% 16.25/11.05 tff(11867,plain,
% 16.25/11.05 (~node1(s144)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11866, 421, 11812])).
% 16.25/11.05 tff(11868,plain,
% 16.25/11.05 (((~![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))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11869,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s143, s144)) | node18(s143, s144))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11870,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s143, s144)) | node18(s143, s144)),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11869, 11868])).
% 16.25/11.05 tff(11871,plain,
% 16.25/11.05 (node18(s143, s144)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11870, 125, 11782])).
% 16.25/11.05 tff(11872,plain,
% 16.25/11.05 (((~![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(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))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11873,plain,
% 16.25/11.05 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11874,plain,
% 16.25/11.05 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2)),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11873, 11872])).
% 16.25/11.05 tff(11875,plain,
% 16.25/11.05 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | m_main_v_turn(s144, c_2)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11874, 760, 11871])).
% 16.25/11.05 tff(11876,plain,
% 16.25/11.05 (m_main_v_turn(s144, c_2)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11875, 11735, 11771])).
% 16.25/11.05 tff(11877,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11878,plain,
% 16.25/11.05 ((~![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)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11879,plain,
% 16.25/11.05 ((~![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))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11878, 11877])).
% 16.25/11.05 tff(11880,plain,
% 16.25/11.05 (~m_main_v_turn(s144, c_1)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11879, 156, 11876])).
% 16.25/11.05 tff(11881,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11882,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s144, c_1) | (~node5(s144)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11883,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s144, c_1) | (~node5(s144))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11882, 11881])).
% 16.25/11.05 tff(11884,plain,
% 16.25/11.05 (~node5(s144)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11883, 776, 11880])).
% 16.25/11.05 tff(11885,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11886,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s144, c_n1) | (~node2(s144)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11887,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s144, c_n1) | (~node2(s144))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11886, 11885])).
% 16.25/11.05 tff(11888,plain,
% 16.25/11.05 (~node2(s144)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11887, 787, 11812])).
% 16.25/11.05 tff(11889,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11890,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s144, c_n1) | (~node3(s144)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11891,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s144, c_n1) | (~node3(s144))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11890, 11889])).
% 16.25/11.05 tff(11892,plain,
% 16.25/11.05 (~node3(s144)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11891, 798, 11812])).
% 16.25/11.05 tff(11893,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11894,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s144, c_n2) | (~node4(s144)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11895,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s144, c_n2) | (~node4(s144))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11894, 11893])).
% 16.25/11.05 tff(11896,plain,
% 16.25/11.05 (~node4(s144)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11895, 388, 11832])).
% 16.25/11.05 tff(11897,plain,
% 16.25/11.05 (((~![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))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11898,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s144, s145)) | node7(s144, s145))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11899,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s144, s145)) | node7(s144, s145)),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 16.25/11.05 tff(11900,plain,
% 16.25/11.05 (node7(s144, s145)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11899, 206, 11843])).
% 16.25/11.05 tff(11901,plain,
% 16.25/11.05 (((~![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(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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11902,plain,
% 16.25/11.05 ((~![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(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11903,plain,
% 16.25/11.05 ((~![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(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11902, 11901])).
% 16.25/11.05 tff(11904,plain,
% 16.25/11.05 (m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11903, 820, 11900])).
% 16.25/11.05 tff(11905,plain,
% 16.25/11.05 (node6(s144, s145)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11904, 11896, 11820, 11892, 11888, 11884, 11867])).
% 16.25/11.05 tff(11906,plain,
% 16.25/11.05 (((~![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(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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11907,plain,
% 16.25/11.05 (((~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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11908,plain,
% 16.25/11.05 (((~![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))))),
% 16.25/11.05 inference(monotonicity,[status(thm)],[11907])).
% 16.25/11.05 tff(11909,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(transitivity,[status(thm)],[11908, 11906])).
% 16.25/11.05 tff(11910,plain,
% 16.25/11.05 ((~![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)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11911,plain,
% 16.25/11.05 ((~![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(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 16.25/11.05 tff(11912,plain,
% 16.25/11.05 (~m_main_v_state1(s145, c_n1)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11911, 835, 11812, 11905])).
% 16.25/11.05 tff(11913,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11914,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s145, c_n1) | (~node2(s145)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11915,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s145, c_n1) | (~node2(s145))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11914, 11913])).
% 16.25/11.05 tff(11916,plain,
% 16.25/11.05 (~node2(s145)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11915, 787, 11912])).
% 16.25/11.05 tff(11917,plain,
% 16.25/11.05 (((~![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(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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11918,plain,
% 16.25/11.05 (((~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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11919,plain,
% 16.25/11.05 (((~![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))))),
% 16.25/11.05 inference(monotonicity,[status(thm)],[11918])).
% 16.25/11.05 tff(11920,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(transitivity,[status(thm)],[11919, 11917])).
% 16.25/11.05 tff(11921,plain,
% 16.25/11.05 ((~![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))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11922,plain,
% 16.25/11.05 ((~![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(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11921, 11920])).
% 16.25/11.05 tff(11923,plain,
% 16.25/11.05 (m_main_v_state1(s145, c_t1)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11922, 856, 11808, 11905])).
% 16.25/11.05 tff(11924,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11925,plain,
% 16.25/11.05 ((~![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)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11926,plain,
% 16.25/11.05 ((~![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))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11925, 11924])).
% 16.25/11.05 tff(11927,plain,
% 16.25/11.05 (~m_main_v_state2(s145, c_t2)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11926, 77, 11855])).
% 16.25/11.05 tff(11928,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11929,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s145, c_t2) | (~node1(s145)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11930,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s145, c_t2) | (~node1(s145))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11929, 11928])).
% 16.25/11.05 tff(11931,plain,
% 16.25/11.05 (~node1(s145)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11930, 195, 11927])).
% 16.25/11.05 tff(11932,plain,
% 16.25/11.05 (succ(s145, s146) <=> succ(s145, s146)),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11933,axiom,(succ(s145, s146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound146')).
% 16.25/11.05 tff(11934,plain,
% 16.25/11.05 (succ(s145, s146)),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11933, 11932])).
% 16.25/11.05 tff(11935,plain,
% 16.25/11.05 (((~![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))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11936,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11937,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146)),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11936, 11935])).
% 16.25/11.05 tff(11938,plain,
% 16.25/11.05 (trans(s145, s146)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11937, 11934, 32])).
% 16.25/11.05 tff(11939,plain,
% 16.25/11.05 (((~![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))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11940,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s145, s146)) | node7(s145, s146))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11941,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s145, s146)) | node7(s145, s146)),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11940, 11939])).
% 16.25/11.05 tff(11942,plain,
% 16.25/11.05 (node7(s145, s146)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11941, 206, 11938])).
% 16.25/11.05 tff(11943,plain,
% 16.25/11.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11944,plain,
% 16.25/11.05 (((~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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11945,plain,
% 16.25/11.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.25/11.05 inference(monotonicity,[status(thm)],[11944])).
% 16.25/11.05 tff(11946,plain,
% 16.25/11.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.25/11.05 inference(transitivity,[status(thm)],[11945, 11943])).
% 16.25/11.05 tff(11947,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11948,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11947, 11946])).
% 16.25/11.05 tff(11949,plain,
% 16.25/11.05 ((~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)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11948, 892, 11942])).
% 16.25/11.05 tff(11950,plain,
% 16.25/11.05 (m_main_v_state1(s146, c_c1)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11949, 11931, 11855, 11923, 11916, 11863])).
% 16.25/11.05 tff(11951,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11952,plain,
% 16.25/11.05 ((~![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)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11953,plain,
% 16.25/11.05 ((~![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))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11952, 11951])).
% 16.25/11.05 tff(11954,plain,
% 16.25/11.05 (~m_main_v_state1(s146, c_t1)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11953, 539, 11950])).
% 16.25/11.05 tff(11955,plain,
% 16.25/11.05 (((~![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)))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11956,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s146, c_t1) | (~node5(s146)))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11957,plain,
% 16.25/11.05 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s146, c_t1) | (~node5(s146))),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11956, 11955])).
% 16.25/11.05 tff(11958,plain,
% 16.25/11.05 (~node5(s146)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11957, 550, 11954])).
% 16.25/11.05 tff(11959,plain,
% 16.25/11.05 (((~![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))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11960,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s145, s146)) | node14(s145, s146))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11961,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s145, s146)) | node14(s145, s146)),
% 16.25/11.05 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 16.25/11.05 tff(11962,plain,
% 16.25/11.05 (node14(s145, s146)),
% 16.25/11.05 inference(unit_resolution,[status(thm)],[11961, 46, 11938])).
% 16.25/11.05 tff(11963,plain,
% 16.25/11.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.25/11.05 inference(rewrite,[status(thm)],[])).
% 16.25/11.05 tff(11964,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.25/11.05 inference(quant_inst,[status(thm)],[])).
% 16.25/11.05 tff(11965,plain,
% 16.25/11.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[11964, 11963])).
% 16.25/11.06 tff(11966,plain,
% 16.25/11.06 ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state2(s146, c_t2)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[11965, 922, 11962])).
% 16.25/11.06 tff(11967,plain,
% 16.25/11.06 (m_main_v_state2(s146, c_t2)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[11966, 11923, 11855])).
% 16.25/11.06 tff(11968,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(11969,plain,
% 16.25/11.06 ((~![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)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(11970,plain,
% 16.25/11.06 ((~![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))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 16.25/11.06 tff(11971,plain,
% 16.25/11.06 (~m_main_v_state2(s146, c_n2)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[11970, 77, 11967])).
% 16.25/11.06 tff(11972,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(11973,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s146, c_n2) | (~node4(s146)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(11974,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s146, c_n2) | (~node4(s146))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[11973, 11972])).
% 16.25/11.06 tff(11975,plain,
% 16.25/11.06 (~node4(s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[11974, 388, 11971])).
% 16.25/11.06 tff(11976,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(11977,plain,
% 16.25/11.06 ((~![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)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(11978,plain,
% 16.25/11.06 ((~![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))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[11977, 11976])).
% 16.25/11.06 tff(11979,plain,
% 16.25/11.06 (~m_main_v_state2(s146, c_c2)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[11978, 260, 11967])).
% 16.25/11.06 tff(11980,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(11981,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s146, c_c2) | (~node3(s146)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(11982,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s146, c_c2) | (~node3(s146))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[11981, 11980])).
% 16.25/11.06 tff(11983,plain,
% 16.25/11.06 (~node3(s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[11982, 399, 11979])).
% 16.25/11.06 tff(11984,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(11985,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s146, c_n2) | (~node2(s146)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(11986,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s146, c_n2) | (~node2(s146))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[11985, 11984])).
% 16.25/11.06 tff(11987,plain,
% 16.25/11.06 (~node2(s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[11986, 410, 11971])).
% 16.25/11.06 tff(11988,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(11989,plain,
% 16.25/11.06 ((~![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)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(11990,plain,
% 16.25/11.06 ((~![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))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 16.25/11.06 tff(11991,plain,
% 16.25/11.06 (~m_main_v_state1(s146, c_n1)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[11990, 454, 11950])).
% 16.25/11.06 tff(11992,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(11993,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s146, c_n1) | (~node1(s146)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(11994,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s146, c_n1) | (~node1(s146))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[11993, 11992])).
% 16.25/11.06 tff(11995,plain,
% 16.25/11.06 (~node1(s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[11994, 421, 11991])).
% 16.25/11.06 tff(11996,plain,
% 16.25/11.06 (succ(s146, s147) <=> succ(s146, s147)),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(11997,axiom,(succ(s146, s147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound147')).
% 16.25/11.06 tff(11998,plain,
% 16.25/11.06 (succ(s146, s147)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[11997, 11996])).
% 16.25/11.06 tff(11999,plain,
% 16.25/11.06 (((~![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))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12000,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12001,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 16.25/11.06 tff(12002,plain,
% 16.25/11.06 (trans(s146, s147)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12001, 11998, 32])).
% 16.25/11.06 tff(12003,plain,
% 16.25/11.06 (((~![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))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12004,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s146, s147)) | node7(s146, s147))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12005,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s146, s147)) | node7(s146, s147)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12004, 12003])).
% 16.25/11.06 tff(12006,plain,
% 16.25/11.06 (node7(s146, s147)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12005, 206, 12002])).
% 16.25/11.06 tff(12007,plain,
% 16.25/11.06 (((~![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(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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12008,plain,
% 16.25/11.06 (((~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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12009,plain,
% 16.25/11.06 (((~![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(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))))),
% 16.25/11.06 inference(monotonicity,[status(thm)],[12008])).
% 16.25/11.06 tff(12010,plain,
% 16.25/11.06 (((~![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(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)))),
% 16.25/11.06 inference(transitivity,[status(thm)],[12009, 12007])).
% 16.25/11.06 tff(12011,plain,
% 16.25/11.06 ((~![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(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)) | m_main_v_state1(s147, c_n1))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12012,plain,
% 16.25/11.06 ((~![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(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12011, 12010])).
% 16.25/11.06 tff(12013,plain,
% 16.25/11.06 (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12012, 584, 12006])).
% 16.25/11.06 tff(12014,plain,
% 16.25/11.06 (m_main_v_state1(s147, c_n1)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12013, 11995, 11950, 11987, 11983, 11975, 11958])).
% 16.25/11.06 tff(12015,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12016,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s145, c_t2) | (~node15(s145)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12017,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s145, c_t2) | (~node15(s145))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12016, 12015])).
% 16.25/11.06 tff(12018,plain,
% 16.25/11.06 (~node15(s145)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12017, 103, 11927])).
% 16.25/11.06 tff(12019,plain,
% 16.25/11.06 (((~![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))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12020,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s145, s146)) | node18(s145, s146))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12021,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s145, s146)) | node18(s145, s146)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12020, 12019])).
% 16.25/11.06 tff(12022,plain,
% 16.25/11.06 (node18(s145, s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12021, 125, 11938])).
% 16.25/11.06 tff(12023,plain,
% 16.25/11.06 (((~![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(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))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12024,plain,
% 16.25/11.06 (((~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))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12025,plain,
% 16.25/11.06 (((~![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(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)))),
% 16.25/11.06 inference(monotonicity,[status(thm)],[12024])).
% 16.25/11.06 tff(12026,plain,
% 16.25/11.06 (((~![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(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))),
% 16.25/11.06 inference(transitivity,[status(thm)],[12025, 12023])).
% 16.25/11.06 tff(12027,plain,
% 16.25/11.06 ((~![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(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12028,plain,
% 16.25/11.06 ((~![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(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)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12027, 12026])).
% 16.25/11.06 tff(12029,plain,
% 16.25/11.06 (node15(s145) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12028, 992, 12022])).
% 16.25/11.06 tff(12030,plain,
% 16.25/11.06 (m_main_v_turn(s146, c_1)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12029, 12018, 11855, 11923])).
% 16.25/11.06 tff(12031,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12032,plain,
% 16.25/11.06 ((~![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)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12033,plain,
% 16.25/11.06 ((~![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))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 16.25/11.06 tff(12034,plain,
% 16.25/11.06 (~m_main_v_turn(s146, c_2)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12033, 156, 12030])).
% 16.25/11.06 tff(12035,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12036,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s146, c_2) | (~node12(s146)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12037,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s146, c_2) | (~node12(s146))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12036, 12035])).
% 16.25/11.06 tff(12038,plain,
% 16.25/11.06 (~node12(s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12037, 184, 12034])).
% 16.25/11.06 tff(12039,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12040,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s146, c_n2) | (~node8(s146)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12041,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s146, c_n2) | (~node8(s146))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12040, 12039])).
% 16.25/11.06 tff(12042,plain,
% 16.25/11.06 (~node8(s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12041, 271, 11971])).
% 16.25/11.06 tff(12043,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12044,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s146, c_n2) | (~node9(s146)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12045,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s146, c_n2) | (~node9(s146))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12044, 12043])).
% 16.25/11.06 tff(12046,plain,
% 16.25/11.06 (~node9(s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12045, 88, 11971])).
% 16.25/11.06 tff(12047,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12048,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s146, c_n2) | (~node10(s146)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12049,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s146, c_n2) | (~node10(s146))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12048, 12047])).
% 16.25/11.06 tff(12050,plain,
% 16.25/11.06 (~node10(s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12049, 249, 11971])).
% 16.25/11.06 tff(12051,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12052,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s146, c_n1) | (~node11(s146)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12053,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s146, c_n1) | (~node11(s146))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12052, 12051])).
% 16.25/11.06 tff(12054,plain,
% 16.25/11.06 (~node11(s146)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12053, 238, 11991])).
% 16.25/11.06 tff(12055,plain,
% 16.25/11.06 (((~![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))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12056,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s146, s147)) | node14(s146, s147))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12057,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s146, s147)) | node14(s146, s147)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12056, 12055])).
% 16.25/11.06 tff(12058,plain,
% 16.25/11.06 (node14(s146, s147)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12057, 46, 12002])).
% 16.25/11.06 tff(12059,plain,
% 16.25/11.06 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12060,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12061,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12060, 12059])).
% 16.25/11.06 tff(12062,plain,
% 16.25/11.06 (m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12061, 296, 12058])).
% 16.25/11.06 tff(12063,plain,
% 16.25/11.06 (node13(s146, s147)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12062, 12054, 11979, 12050, 12046, 12042, 12038])).
% 16.25/11.06 tff(12064,plain,
% 16.25/11.06 (((~![V: $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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12065,plain,
% 16.25/11.06 (((~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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12066,plain,
% 16.25/11.06 (((~![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))))),
% 16.25/11.06 inference(monotonicity,[status(thm)],[12065])).
% 16.25/11.06 tff(12067,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(transitivity,[status(thm)],[12066, 12064])).
% 16.25/11.06 tff(12068,plain,
% 16.25/11.06 ((~![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))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12069,plain,
% 16.25/11.06 ((~![V: $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))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12068, 12067])).
% 16.25/11.06 tff(12070,plain,
% 16.25/11.06 (m_main_v_state2(s147, c_t2)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12069, 518, 11967, 12063])).
% 16.25/11.06 tff(12071,plain,
% 16.25/11.06 (succ(s147, s148) <=> succ(s147, s148)),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12072,axiom,(succ(s147, s148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound148')).
% 16.25/11.06 tff(12073,plain,
% 16.25/11.06 (succ(s147, s148)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12072, 12071])).
% 16.25/11.06 tff(12074,plain,
% 16.25/11.06 (((~![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))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12075,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12076,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12075, 12074])).
% 16.25/11.06 tff(12077,plain,
% 16.25/11.06 (trans(s147, s148)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12076, 12073, 32])).
% 16.25/11.06 tff(12078,plain,
% 16.25/11.06 (((~![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))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12079,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s147, s148)) | node7(s147, s148))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12080,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s147, s148)) | node7(s147, s148)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 16.25/11.06 tff(12081,plain,
% 16.25/11.06 (node7(s147, s148)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12080, 206, 12077])).
% 16.25/11.06 tff(12082,plain,
% 16.25/11.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12083,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12084,plain,
% 16.25/11.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1)),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12083, 12082])).
% 16.25/11.06 tff(12085,plain,
% 16.25/11.06 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | m_main_v_state1(s148, c_t1)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12084, 651, 12081])).
% 16.25/11.06 tff(12086,plain,
% 16.25/11.06 (m_main_v_state1(s148, c_t1)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12085, 12070, 12014])).
% 16.25/11.06 tff(12087,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12088,plain,
% 16.25/11.06 ((~![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)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12089,plain,
% 16.25/11.06 ((~![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))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12088, 12087])).
% 16.25/11.06 tff(12090,plain,
% 16.25/11.06 (~m_main_v_state1(s148, c_n1)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12089, 10, 12086])).
% 16.25/11.06 tff(12091,plain,
% 16.25/11.06 (((~![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)))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.06 tff(12092,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s148, c_n1) | (~node1(s148)))),
% 16.25/11.06 inference(quant_inst,[status(thm)],[])).
% 16.25/11.06 tff(12093,plain,
% 16.25/11.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s148, c_n1) | (~node1(s148))),
% 16.25/11.06 inference(modus_ponens,[status(thm)],[12092, 12091])).
% 16.25/11.06 tff(12094,plain,
% 16.25/11.06 (~node1(s148)),
% 16.25/11.06 inference(unit_resolution,[status(thm)],[12093, 421, 12090])).
% 16.25/11.06 tff(12095,plain,
% 16.25/11.06 (((~![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))),
% 16.25/11.06 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12096,plain,
% 16.25/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s147, s148)) | node18(s147, s148))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12097,plain,
% 16.25/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s147, s148)) | node18(s147, s148)),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 16.25/11.07 tff(12098,plain,
% 16.25/11.07 (node18(s147, s148)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12097, 125, 12077])).
% 16.25/11.07 tff(12099,plain,
% 16.25/11.07 (((~![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(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))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12100,plain,
% 16.25/11.07 ((~![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(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12101,plain,
% 16.25/11.07 ((~![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(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2)),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12100, 12099])).
% 16.25/11.07 tff(12102,plain,
% 16.25/11.07 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | m_main_v_turn(s148, c_2)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12101, 760, 12098])).
% 16.25/11.07 tff(12103,plain,
% 16.25/11.07 (m_main_v_turn(s148, c_2)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12102, 12070, 12014])).
% 16.25/11.07 tff(12104,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12105,plain,
% 16.25/11.07 ((~![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)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12106,plain,
% 16.25/11.07 ((~![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))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12105, 12104])).
% 16.25/11.07 tff(12107,plain,
% 16.25/11.07 (~m_main_v_turn(s148, c_1)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12106, 156, 12103])).
% 16.25/11.07 tff(12108,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12109,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s148, c_1) | (~node5(s148)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12110,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s148, c_1) | (~node5(s148))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12109, 12108])).
% 16.25/11.07 tff(12111,plain,
% 16.25/11.07 (~node5(s148)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12110, 776, 12107])).
% 16.25/11.07 tff(12112,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12113,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s148, c_n1) | (~node2(s148)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12114,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s148, c_n1) | (~node2(s148))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12113, 12112])).
% 16.25/11.07 tff(12115,plain,
% 16.25/11.07 (~node2(s148)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12114, 787, 12090])).
% 16.25/11.07 tff(12116,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12117,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s148, c_n1) | (~node3(s148)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12118,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s148, c_n1) | (~node3(s148))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12117, 12116])).
% 16.25/11.07 tff(12119,plain,
% 16.25/11.07 (~node3(s148)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12118, 798, 12090])).
% 16.25/11.07 tff(12120,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12121,plain,
% 16.25/11.07 ((~![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)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12122,plain,
% 16.25/11.07 ((~![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))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12121, 12120])).
% 16.25/11.07 tff(12123,plain,
% 16.25/11.07 (~m_main_v_state1(s148, c_c1)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12122, 539, 12086])).
% 16.25/11.07 tff(12124,plain,
% 16.25/11.07 (((~![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(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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12125,plain,
% 16.25/11.07 (((~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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12126,plain,
% 16.25/11.07 (((~![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))))),
% 16.25/11.07 inference(monotonicity,[status(thm)],[12125])).
% 16.25/11.07 tff(12127,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(transitivity,[status(thm)],[12126, 12124])).
% 16.25/11.07 tff(12128,plain,
% 16.25/11.07 ((~![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)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12129,plain,
% 16.25/11.07 ((~![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(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12128, 12127])).
% 16.25/11.07 tff(12130,plain,
% 16.25/11.07 (~m_main_v_state2(s147, c_n2)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12129, 311, 11971, 12063])).
% 16.25/11.07 tff(12131,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12132,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s147, c_n2) | (~node9(s147)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12133,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s147, c_n2) | (~node9(s147))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12132, 12131])).
% 16.25/11.07 tff(12134,plain,
% 16.25/11.07 (~node9(s147)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12133, 88, 12130])).
% 16.25/11.07 tff(12135,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12136,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s147, c_n2) | (~node10(s147)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12137,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s147, c_n2) | (~node10(s147))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12136, 12135])).
% 16.25/11.07 tff(12138,plain,
% 16.25/11.07 (~node10(s147)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12137, 249, 12130])).
% 16.25/11.07 tff(12139,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12140,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s147, c_n2) | (~node8(s147)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12141,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s147, c_n2) | (~node8(s147))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12140, 12139])).
% 16.25/11.07 tff(12142,plain,
% 16.25/11.07 (~node8(s147)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12141, 271, 12130])).
% 16.25/11.07 tff(12143,plain,
% 16.25/11.07 (((~![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))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12144,plain,
% 16.25/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s147, s148)) | node14(s147, s148))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12145,plain,
% 16.25/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s147, s148)) | node14(s147, s148)),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12144, 12143])).
% 16.25/11.07 tff(12146,plain,
% 16.25/11.07 (node14(s147, s148)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12145, 46, 12077])).
% 16.25/11.07 tff(12147,plain,
% 16.25/11.07 (((~![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(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))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12148,plain,
% 16.25/11.07 ((~![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(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))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12149,plain,
% 16.25/11.07 ((~![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(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)),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12148, 12147])).
% 16.25/11.07 tff(12150,plain,
% 16.25/11.07 ((~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)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12149, 617, 12146])).
% 16.25/11.07 tff(12151,plain,
% 16.25/11.07 (m_main_v_state2(s148, c_c2)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12150, 12142, 12014, 12070, 12138, 12134])).
% 16.25/11.07 tff(12152,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12153,plain,
% 16.25/11.07 ((~![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)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12154,plain,
% 16.25/11.07 ((~![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))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12153, 12152])).
% 16.25/11.07 tff(12155,plain,
% 16.25/11.07 (~m_main_v_state2(s148, c_n2)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12154, 697, 12151])).
% 16.25/11.07 tff(12156,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12157,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s148, c_n2) | (~node4(s148)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12158,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s148, c_n2) | (~node4(s148))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12157, 12156])).
% 16.25/11.07 tff(12159,plain,
% 16.25/11.07 (~node4(s148)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12158, 388, 12155])).
% 16.25/11.07 tff(12160,plain,
% 16.25/11.07 (succ(s148, s149) <=> succ(s148, s149)),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12161,axiom,(succ(s148, s149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound149')).
% 16.25/11.07 tff(12162,plain,
% 16.25/11.07 (succ(s148, s149)),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12161, 12160])).
% 16.25/11.07 tff(12163,plain,
% 16.25/11.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12164,plain,
% 16.25/11.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12165,plain,
% 16.25/11.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149)),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12164, 12163])).
% 16.25/11.07 tff(12166,plain,
% 16.25/11.07 (trans(s148, s149)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12165, 12162, 32])).
% 16.25/11.07 tff(12167,plain,
% 16.25/11.07 (((~![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))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12168,plain,
% 16.25/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s148, s149)) | node7(s148, s149))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12169,plain,
% 16.25/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s148, s149)) | node7(s148, s149)),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12168, 12167])).
% 16.25/11.07 tff(12170,plain,
% 16.25/11.07 (node7(s148, s149)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12169, 206, 12166])).
% 16.25/11.07 tff(12171,plain,
% 16.25/11.07 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12172,plain,
% 16.25/11.07 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12173,plain,
% 16.25/11.07 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 16.25/11.07 tff(12174,plain,
% 16.25/11.07 (m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12173, 820, 12170])).
% 16.25/11.07 tff(12175,plain,
% 16.25/11.07 (node6(s148, s149)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12174, 12159, 12123, 12119, 12115, 12111, 12094])).
% 16.25/11.07 tff(12176,plain,
% 16.25/11.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12177,plain,
% 16.25/11.07 (((~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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12178,plain,
% 16.25/11.07 (((~![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))))),
% 16.25/11.07 inference(monotonicity,[status(thm)],[12177])).
% 16.25/11.07 tff(12179,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(transitivity,[status(thm)],[12178, 12176])).
% 16.25/11.07 tff(12180,plain,
% 16.25/11.07 ((~![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))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12181,plain,
% 16.25/11.07 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12180, 12179])).
% 16.25/11.07 tff(12182,plain,
% 16.25/11.07 (m_main_v_state1(s149, c_t1)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12181, 856, 12086, 12175])).
% 16.25/11.07 tff(12183,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12184,plain,
% 16.25/11.07 ((~![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)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12185,plain,
% 16.25/11.07 ((~![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))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12184, 12183])).
% 16.25/11.07 tff(12186,plain,
% 16.25/11.07 (~m_main_v_state2(s148, c_t2)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12185, 260, 12151])).
% 16.25/11.07 tff(12187,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12188,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s148, c_t2) | (~node12(s148)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12189,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s148, c_t2) | (~node12(s148))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12188, 12187])).
% 16.25/11.07 tff(12190,plain,
% 16.25/11.07 (~node12(s148)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12189, 633, 12186])).
% 16.25/11.07 tff(12191,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12192,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s148, c_n1) | (~node11(s148)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12193,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s148, c_n1) | (~node11(s148))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12192, 12191])).
% 16.25/11.07 tff(12194,plain,
% 16.25/11.07 (~node11(s148)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12193, 238, 12090])).
% 16.25/11.07 tff(12195,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12196,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s148, c_c1) | (~node10(s148)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12197,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s148, c_c1) | (~node10(s148))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12196, 12195])).
% 16.25/11.07 tff(12198,plain,
% 16.25/11.07 (~node10(s148)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12197, 675, 12123])).
% 16.25/11.07 tff(12199,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12200,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s148, c_n1) | (~node9(s148)))),
% 16.25/11.07 inference(quant_inst,[status(thm)],[])).
% 16.25/11.07 tff(12201,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s148, c_n1) | (~node9(s148))),
% 16.25/11.07 inference(modus_ponens,[status(thm)],[12200, 12199])).
% 16.25/11.07 tff(12202,plain,
% 16.25/11.07 (~node9(s148)),
% 16.25/11.07 inference(unit_resolution,[status(thm)],[12201, 686, 12090])).
% 16.25/11.07 tff(12203,plain,
% 16.25/11.07 (((~![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)))),
% 16.25/11.07 inference(rewrite,[status(thm)],[])).
% 16.25/11.07 tff(12204,plain,
% 16.25/11.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s148, c_n2) | (~node8(s148)))),
% 16.28/11.07 inference(quant_inst,[status(thm)],[])).
% 16.28/11.07 tff(12205,plain,
% 16.28/11.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s148, c_n2) | (~node8(s148))),
% 16.28/11.07 inference(modus_ponens,[status(thm)],[12204, 12203])).
% 16.28/11.07 tff(12206,plain,
% 16.28/11.07 (~node8(s148)),
% 16.28/11.07 inference(unit_resolution,[status(thm)],[12205, 271, 12155])).
% 16.28/11.07 tff(12207,plain,
% 16.28/11.07 (((~![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))),
% 16.28/11.07 inference(rewrite,[status(thm)],[])).
% 16.28/11.07 tff(12208,plain,
% 16.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s148, s149)) | node14(s148, s149))),
% 16.28/11.07 inference(quant_inst,[status(thm)],[])).
% 16.28/11.07 tff(12209,plain,
% 16.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s148, s149)) | node14(s148, s149)),
% 16.28/11.07 inference(modus_ponens,[status(thm)],[12208, 12207])).
% 16.28/11.07 tff(12210,plain,
% 16.28/11.07 (node14(s148, s149)),
% 16.28/11.07 inference(unit_resolution,[status(thm)],[12209, 46, 12166])).
% 16.28/11.07 tff(12211,plain,
% 16.28/11.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.28/11.07 inference(rewrite,[status(thm)],[])).
% 16.28/11.07 tff(12212,plain,
% 16.28/11.07 (((~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)))),
% 16.28/11.07 inference(rewrite,[status(thm)],[])).
% 16.28/11.07 tff(12213,plain,
% 16.28/11.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 16.28/11.07 inference(monotonicity,[status(thm)],[12212])).
% 16.28/11.07 tff(12214,plain,
% 16.28/11.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.28/11.07 inference(transitivity,[status(thm)],[12213, 12211])).
% 16.28/11.07 tff(12215,plain,
% 16.28/11.07 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.28/11.07 inference(quant_inst,[status(thm)],[])).
% 16.28/11.07 tff(12216,plain,
% 16.28/11.07 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.28/11.07 inference(modus_ponens,[status(thm)],[12215, 12214])).
% 16.28/11.07 tff(12217,plain,
% 16.28/11.07 (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~m_main_v_state2(s148, c_c2))),
% 16.28/11.07 inference(unit_resolution,[status(thm)],[12216, 726, 12210])).
% 16.28/11.07 tff(12218,plain,
% 16.28/11.07 (m_main_v_state2(s149, c_n2)),
% 16.28/11.07 inference(unit_resolution,[status(thm)],[12217, 12206, 12151, 12202, 12198, 12194, 12190])).
% 16.28/11.07 tff(12219,plain,
% 16.28/11.07 (((~![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)))),
% 16.28/11.07 inference(rewrite,[status(thm)],[])).
% 16.28/11.07 tff(12220,plain,
% 16.28/11.07 ((~![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)))),
% 16.28/11.07 inference(quant_inst,[status(thm)],[])).
% 16.28/11.07 tff(12221,plain,
% 16.28/11.07 ((~![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))),
% 16.28/11.07 inference(modus_ponens,[status(thm)],[12220, 12219])).
% 16.28/11.07 tff(12222,plain,
% 16.28/11.07 (~m_main_v_state2(s149, c_t2)),
% 16.28/11.07 inference(unit_resolution,[status(thm)],[12221, 77, 12218])).
% 16.28/11.07 tff(12223,plain,
% 16.28/11.07 (((~![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)))),
% 16.28/11.07 inference(rewrite,[status(thm)],[])).
% 16.28/11.07 tff(12224,plain,
% 16.28/11.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s149, c_t2) | (~node15(s149)))),
% 16.28/11.07 inference(quant_inst,[status(thm)],[])).
% 16.28/11.07 tff(12225,plain,
% 16.28/11.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s149, c_t2) | (~node15(s149))),
% 16.28/11.07 inference(modus_ponens,[status(thm)],[12224, 12223])).
% 16.28/11.07 tff(12226,plain,
% 16.28/11.07 (~node15(s149)),
% 16.28/11.07 inference(unit_resolution,[status(thm)],[12225, 103, 12222])).
% 16.28/11.07 tff(12227,plain,
% 16.28/11.07 (succ(s149, s150) <=> succ(s149, s150)),
% 16.28/11.07 inference(rewrite,[status(thm)],[])).
% 16.28/11.07 tff(12228,axiom,(succ(s149, s150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound150')).
% 16.28/11.07 tff(12229,plain,
% 16.28/11.07 (succ(s149, s150)),
% 16.28/11.07 inference(modus_ponens,[status(thm)],[12228, 12227])).
% 16.28/11.07 tff(12230,plain,
% 16.28/11.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150))),
% 16.28/11.07 inference(rewrite,[status(thm)],[])).
% 16.28/11.07 tff(12231,plain,
% 16.28/11.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))),
% 16.28/11.07 inference(quant_inst,[status(thm)],[])).
% 16.28/11.07 tff(12232,plain,
% 16.28/11.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150)),
% 16.28/11.07 inference(modus_ponens,[status(thm)],[12231, 12230])).
% 16.28/11.07 tff(12233,plain,
% 16.28/11.07 (trans(s149, s150)),
% 16.28/11.07 inference(unit_resolution,[status(thm)],[12232, 12229, 32])).
% 16.28/11.07 tff(12234,plain,
% 16.28/11.07 (((~![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))),
% 16.28/11.07 inference(rewrite,[status(thm)],[])).
% 16.28/11.07 tff(12235,plain,
% 16.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s149, s150)) | node18(s149, s150))),
% 16.28/11.07 inference(quant_inst,[status(thm)],[])).
% 16.28/11.07 tff(12236,plain,
% 16.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s149, s150)) | node18(s149, s150)),
% 16.28/11.07 inference(modus_ponens,[status(thm)],[12235, 12234])).
% 16.28/11.07 tff(12237,plain,
% 16.28/11.07 (node18(s149, s150)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12236, 125, 12233])).
% 16.28/11.08 tff(12238,plain,
% 16.28/11.08 (((~![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(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))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12239,plain,
% 16.28/11.08 (((~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))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12240,plain,
% 16.28/11.08 (((~![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(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)))),
% 16.28/11.08 inference(monotonicity,[status(thm)],[12239])).
% 16.28/11.08 tff(12241,plain,
% 16.28/11.08 (((~![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(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))),
% 16.28/11.08 inference(transitivity,[status(thm)],[12240, 12238])).
% 16.28/11.08 tff(12242,plain,
% 16.28/11.08 ((~![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(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12243,plain,
% 16.28/11.08 ((~![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(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)),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12242, 12241])).
% 16.28/11.08 tff(12244,plain,
% 16.28/11.08 (node15(s149) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12243, 992, 12237])).
% 16.28/11.08 tff(12245,plain,
% 16.28/11.08 (m_main_v_turn(s150, c_1)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12244, 12226, 12218, 12182])).
% 16.28/11.08 tff(12246,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12247,plain,
% 16.28/11.08 ((~![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)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12248,plain,
% 16.28/11.08 ((~![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))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12247, 12246])).
% 16.28/11.08 tff(12249,plain,
% 16.28/11.08 (~m_main_v_turn(s150, c_2)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12248, 156, 12245])).
% 16.28/11.08 tff(12250,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12251,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s150, c_2) | (~node12(s150)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12252,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s150, c_2) | (~node12(s150))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12251, 12250])).
% 16.28/11.08 tff(12253,plain,
% 16.28/11.08 (~node12(s150)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12252, 184, 12249])).
% 16.28/11.08 tff(12254,plain,
% 16.28/11.08 (((~![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))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12255,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s149, s150)) | node14(s149, s150))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12256,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s149, s150)) | node14(s149, s150)),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12255, 12254])).
% 16.28/11.08 tff(12257,plain,
% 16.28/11.08 (node14(s149, s150)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12256, 46, 12233])).
% 16.28/11.08 tff(12258,plain,
% 16.28/11.08 (((~![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(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))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12259,plain,
% 16.28/11.08 ((~![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(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12260,plain,
% 16.28/11.08 ((~![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(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2)),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12259, 12258])).
% 16.28/11.08 tff(12261,plain,
% 16.28/11.08 ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state2(s150, c_t2)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12260, 922, 12257])).
% 16.28/11.08 tff(12262,plain,
% 16.28/11.08 (m_main_v_state2(s150, c_t2)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12261, 12182, 12218])).
% 16.28/11.08 tff(12263,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12264,plain,
% 16.28/11.08 ((~![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)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12265,plain,
% 16.28/11.08 ((~![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))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12264, 12263])).
% 16.28/11.08 tff(12266,plain,
% 16.28/11.08 (~m_main_v_state2(s150, c_n2)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12265, 77, 12262])).
% 16.28/11.08 tff(12267,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12268,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s150, c_n2) | (~node8(s150)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12269,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s150, c_n2) | (~node8(s150))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12268, 12267])).
% 16.28/11.08 tff(12270,plain,
% 16.28/11.08 (~node8(s150)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12269, 271, 12266])).
% 16.28/11.08 tff(12271,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12272,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s150, c_n2) | (~node9(s150)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12273,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s150, c_n2) | (~node9(s150))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12272, 12271])).
% 16.28/11.08 tff(12274,plain,
% 16.28/11.08 (~node9(s150)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12273, 88, 12266])).
% 16.28/11.08 tff(12275,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12276,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s150, c_n2) | (~node10(s150)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12277,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s150, c_n2) | (~node10(s150))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12276, 12275])).
% 16.28/11.08 tff(12278,plain,
% 16.28/11.08 (~node10(s150)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12277, 249, 12266])).
% 16.28/11.08 tff(12279,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12280,plain,
% 16.28/11.08 ((~![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)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12281,plain,
% 16.28/11.08 ((~![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))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12280, 12279])).
% 16.28/11.08 tff(12282,plain,
% 16.28/11.08 (~m_main_v_state2(s150, c_c2)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12281, 260, 12262])).
% 16.28/11.08 tff(12283,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12284,plain,
% 16.28/11.08 ((~![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)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12285,plain,
% 16.28/11.08 ((~![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))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12284, 12283])).
% 16.28/11.08 tff(12286,plain,
% 16.28/11.08 (~m_main_v_state2(s149, c_c2)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12285, 697, 12218])).
% 16.28/11.08 tff(12287,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12288,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s149, c_c2) | (~node3(s149)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12289,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s149, c_c2) | (~node3(s149))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12288, 12287])).
% 16.28/11.08 tff(12290,plain,
% 16.28/11.08 (~node3(s149)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12289, 399, 12286])).
% 16.28/11.08 tff(12291,plain,
% 16.28/11.08 (((~![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(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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12292,plain,
% 16.28/11.08 (((~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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12293,plain,
% 16.28/11.08 (((~![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))))),
% 16.28/11.08 inference(monotonicity,[status(thm)],[12292])).
% 16.28/11.08 tff(12294,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(transitivity,[status(thm)],[12293, 12291])).
% 16.28/11.08 tff(12295,plain,
% 16.28/11.08 ((~![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)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12296,plain,
% 16.28/11.08 ((~![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(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12295, 12294])).
% 16.28/11.08 tff(12297,plain,
% 16.28/11.08 (~m_main_v_state1(s149, c_n1)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12296, 835, 12090, 12175])).
% 16.28/11.08 tff(12298,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12299,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s149, c_n1) | (~node2(s149)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12300,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s149, c_n1) | (~node2(s149))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12299, 12298])).
% 16.28/11.08 tff(12301,plain,
% 16.28/11.08 (~node2(s149)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12300, 787, 12297])).
% 16.28/11.08 tff(12302,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12303,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s149, c_t2) | (~node1(s149)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12304,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s149, c_t2) | (~node1(s149))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12303, 12302])).
% 16.28/11.08 tff(12305,plain,
% 16.28/11.08 (~node1(s149)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12304, 195, 12222])).
% 16.28/11.08 tff(12306,plain,
% 16.28/11.08 (((~![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))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12307,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s149, s150)) | node7(s149, s150))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12308,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s149, s150)) | node7(s149, s150)),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12307, 12306])).
% 16.28/11.08 tff(12309,plain,
% 16.28/11.08 (node7(s149, s150)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12308, 206, 12233])).
% 16.28/11.08 tff(12310,plain,
% 16.28/11.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12311,plain,
% 16.28/11.08 (((~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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12312,plain,
% 16.28/11.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 16.28/11.08 inference(monotonicity,[status(thm)],[12311])).
% 16.28/11.08 tff(12313,plain,
% 16.28/11.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.28/11.08 inference(transitivity,[status(thm)],[12312, 12310])).
% 16.28/11.08 tff(12314,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12315,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12314, 12313])).
% 16.28/11.08 tff(12316,plain,
% 16.28/11.08 ((~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)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12315, 892, 12309])).
% 16.28/11.08 tff(12317,plain,
% 16.28/11.08 (m_main_v_state1(s150, c_c1)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12316, 12305, 12218, 12182, 12301, 12290])).
% 16.28/11.08 tff(12318,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12319,plain,
% 16.28/11.08 ((~![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)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12320,plain,
% 16.28/11.08 ((~![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))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12319, 12318])).
% 16.28/11.08 tff(12321,plain,
% 16.28/11.08 (~m_main_v_state1(s150, c_n1)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12320, 454, 12317])).
% 16.28/11.08 tff(12322,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12323,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s150, c_n1) | (~node11(s150)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12324,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s150, c_n1) | (~node11(s150))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12323, 12322])).
% 16.28/11.08 tff(12325,plain,
% 16.28/11.08 (~node11(s150)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12324, 238, 12321])).
% 16.28/11.08 tff(12326,plain,
% 16.28/11.08 (succ(s150, s151) <=> succ(s150, s151)),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12327,axiom,(succ(s150, s151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound151')).
% 16.28/11.08 tff(12328,plain,
% 16.28/11.08 (succ(s150, s151)),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12327, 12326])).
% 16.28/11.08 tff(12329,plain,
% 16.28/11.08 (((~![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))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12330,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12331,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151)),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12330, 12329])).
% 16.28/11.08 tff(12332,plain,
% 16.28/11.08 (trans(s150, s151)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12331, 12328, 32])).
% 16.28/11.08 tff(12333,plain,
% 16.28/11.08 (((~![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))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12334,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s150, s151)) | node14(s150, s151))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12335,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s150, s151)) | node14(s150, s151)),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12334, 12333])).
% 16.28/11.08 tff(12336,plain,
% 16.28/11.08 (node14(s150, s151)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12335, 46, 12332])).
% 16.28/11.08 tff(12337,plain,
% 16.28/11.08 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12338,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12339,plain,
% 16.28/11.08 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12338, 12337])).
% 16.28/11.08 tff(12340,plain,
% 16.28/11.08 (m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12339, 296, 12336])).
% 16.28/11.08 tff(12341,plain,
% 16.28/11.08 (node13(s150, s151)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12340, 12325, 12282, 12278, 12274, 12270, 12253])).
% 16.28/11.08 tff(12342,plain,
% 16.28/11.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12343,plain,
% 16.28/11.08 (((~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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12344,plain,
% 16.28/11.08 (((~![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))))),
% 16.28/11.08 inference(monotonicity,[status(thm)],[12343])).
% 16.28/11.08 tff(12345,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(transitivity,[status(thm)],[12344, 12342])).
% 16.28/11.08 tff(12346,plain,
% 16.28/11.08 ((~![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)))),
% 16.28/11.08 inference(quant_inst,[status(thm)],[])).
% 16.28/11.08 tff(12347,plain,
% 16.28/11.08 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151))),
% 16.28/11.08 inference(modus_ponens,[status(thm)],[12346, 12345])).
% 16.28/11.08 tff(12348,plain,
% 16.28/11.08 (~m_main_v_state2(s151, c_n2)),
% 16.28/11.08 inference(unit_resolution,[status(thm)],[12347, 311, 12266, 12341])).
% 16.28/11.08 tff(12349,plain,
% 16.28/11.08 (((~![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)))),
% 16.28/11.08 inference(rewrite,[status(thm)],[])).
% 16.28/11.08 tff(12350,plain,
% 16.28/11.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s151, c_n2) | (~node9(s151)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12351,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s151, c_n2) | (~node9(s151))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12350, 12349])).
% 16.28/11.09 tff(12352,plain,
% 16.28/11.09 (~node9(s151)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12351, 88, 12348])).
% 16.28/11.09 tff(12353,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12354,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s151, c_n2) | (~node10(s151)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12355,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s151, c_n2) | (~node10(s151))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12354, 12353])).
% 16.28/11.09 tff(12356,plain,
% 16.28/11.09 (~node10(s151)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12355, 249, 12348])).
% 16.28/11.09 tff(12357,plain,
% 16.28/11.09 (((~![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(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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12358,plain,
% 16.28/11.09 (((~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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12359,plain,
% 16.28/11.09 (((~![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))))),
% 16.28/11.09 inference(monotonicity,[status(thm)],[12358])).
% 16.28/11.09 tff(12360,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(transitivity,[status(thm)],[12359, 12357])).
% 16.28/11.09 tff(12361,plain,
% 16.28/11.09 ((~![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))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12362,plain,
% 16.28/11.09 ((~![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(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12361, 12360])).
% 16.28/11.09 tff(12363,plain,
% 16.28/11.09 (m_main_v_state2(s151, c_t2)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12362, 518, 12262, 12341])).
% 16.28/11.09 tff(12364,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12365,plain,
% 16.28/11.09 ((~![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)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12366,plain,
% 16.28/11.09 ((~![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))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12365, 12364])).
% 16.28/11.09 tff(12367,plain,
% 16.28/11.09 (~m_main_v_state1(s150, c_t1)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12366, 539, 12317])).
% 16.28/11.09 tff(12368,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12369,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s150, c_t1) | (~node5(s150)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12370,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s150, c_t1) | (~node5(s150))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12369, 12368])).
% 16.28/11.09 tff(12371,plain,
% 16.28/11.09 (~node5(s150)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12370, 550, 12367])).
% 16.28/11.09 tff(12372,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12373,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s150, c_n2) | (~node4(s150)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12374,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s150, c_n2) | (~node4(s150))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12373, 12372])).
% 16.28/11.09 tff(12375,plain,
% 16.28/11.09 (~node4(s150)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12374, 388, 12266])).
% 16.28/11.09 tff(12376,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12377,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s150, c_c2) | (~node3(s150)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12378,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s150, c_c2) | (~node3(s150))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12377, 12376])).
% 16.28/11.09 tff(12379,plain,
% 16.28/11.09 (~node3(s150)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12378, 399, 12282])).
% 16.28/11.09 tff(12380,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12381,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s150, c_n2) | (~node2(s150)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12382,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s150, c_n2) | (~node2(s150))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 16.28/11.09 tff(12383,plain,
% 16.28/11.09 (~node2(s150)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12382, 410, 12266])).
% 16.28/11.09 tff(12384,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12385,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s150, c_n1) | (~node1(s150)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12386,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s150, c_n1) | (~node1(s150))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12385, 12384])).
% 16.28/11.09 tff(12387,plain,
% 16.28/11.09 (~node1(s150)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12386, 421, 12321])).
% 16.28/11.09 tff(12388,plain,
% 16.28/11.09 (((~![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))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12389,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s150, s151)) | node7(s150, s151))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12390,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s150, s151)) | node7(s150, s151)),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12389, 12388])).
% 16.28/11.09 tff(12391,plain,
% 16.28/11.09 (node7(s150, s151)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12390, 206, 12332])).
% 16.28/11.09 tff(12392,plain,
% 16.28/11.09 (((~![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(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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12393,plain,
% 16.28/11.09 (((~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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12394,plain,
% 16.28/11.09 (((~![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(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))))),
% 16.28/11.09 inference(monotonicity,[status(thm)],[12393])).
% 16.28/11.09 tff(12395,plain,
% 16.28/11.09 (((~![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(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)))),
% 16.28/11.09 inference(transitivity,[status(thm)],[12394, 12392])).
% 16.28/11.09 tff(12396,plain,
% 16.28/11.09 ((~![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(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12397,plain,
% 16.28/11.09 ((~![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(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12396, 12395])).
% 16.28/11.09 tff(12398,plain,
% 16.28/11.09 (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12397, 584, 12391])).
% 16.28/11.09 tff(12399,plain,
% 16.28/11.09 (m_main_v_state1(s151, c_n1)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12398, 12387, 12317, 12383, 12379, 12375, 12371])).
% 16.28/11.09 tff(12400,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12401,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s151, c_n2) | (~node8(s151)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12402,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s151, c_n2) | (~node8(s151))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12401, 12400])).
% 16.28/11.09 tff(12403,plain,
% 16.28/11.09 (~node8(s151)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12402, 271, 12348])).
% 16.28/11.09 tff(12404,plain,
% 16.28/11.09 (succ(s151, s152) <=> succ(s151, s152)),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12405,axiom,(succ(s151, s152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound152')).
% 16.28/11.09 tff(12406,plain,
% 16.28/11.09 (succ(s151, s152)),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12405, 12404])).
% 16.28/11.09 tff(12407,plain,
% 16.28/11.09 (((~![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))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12408,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12409,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152)),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12408, 12407])).
% 16.28/11.09 tff(12410,plain,
% 16.28/11.09 (trans(s151, s152)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12409, 12406, 32])).
% 16.28/11.09 tff(12411,plain,
% 16.28/11.09 (((~![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))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12412,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s151, s152)) | node14(s151, s152))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12413,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s151, s152)) | node14(s151, s152)),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12412, 12411])).
% 16.28/11.09 tff(12414,plain,
% 16.28/11.09 (node14(s151, s152)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12413, 46, 12410])).
% 16.28/11.09 tff(12415,plain,
% 16.28/11.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12416,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12417,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12416, 12415])).
% 16.28/11.09 tff(12418,plain,
% 16.28/11.09 ((~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)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12417, 617, 12414])).
% 16.28/11.09 tff(12419,plain,
% 16.28/11.09 (m_main_v_state2(s152, c_c2)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12418, 12403, 12399, 12363, 12356, 12352])).
% 16.28/11.09 tff(12420,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12421,plain,
% 16.28/11.09 ((~![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)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12422,plain,
% 16.28/11.09 ((~![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))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12421, 12420])).
% 16.28/11.09 tff(12423,plain,
% 16.28/11.09 (~m_main_v_state2(s152, c_t2)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12422, 260, 12419])).
% 16.28/11.09 tff(12424,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12425,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s152, c_t2) | (~node12(s152)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12426,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s152, c_t2) | (~node12(s152))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12425, 12424])).
% 16.28/11.09 tff(12427,plain,
% 16.28/11.09 (~node12(s152)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12426, 633, 12423])).
% 16.28/11.09 tff(12428,plain,
% 16.28/11.09 (((~![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))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12429,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s151, s152)) | node7(s151, s152))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12430,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s151, s152)) | node7(s151, s152)),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12429, 12428])).
% 16.28/11.09 tff(12431,plain,
% 16.28/11.09 (node7(s151, s152)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12430, 206, 12410])).
% 16.28/11.09 tff(12432,plain,
% 16.28/11.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12433,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12434,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12433, 12432])).
% 16.28/11.09 tff(12435,plain,
% 16.28/11.09 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | m_main_v_state1(s152, c_t1)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12434, 651, 12431])).
% 16.28/11.09 tff(12436,plain,
% 16.28/11.09 (m_main_v_state1(s152, c_t1)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12435, 12363, 12399])).
% 16.28/11.09 tff(12437,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12438,plain,
% 16.28/11.09 ((~![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)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12439,plain,
% 16.28/11.09 ((~![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))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12438, 12437])).
% 16.28/11.09 tff(12440,plain,
% 16.28/11.09 (~m_main_v_state1(s152, c_n1)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12439, 10, 12436])).
% 16.28/11.09 tff(12441,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12442,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s152, c_n1) | (~node11(s152)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12443,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s152, c_n1) | (~node11(s152))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12442, 12441])).
% 16.28/11.09 tff(12444,plain,
% 16.28/11.09 (~node11(s152)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12443, 238, 12440])).
% 16.28/11.09 tff(12445,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12446,plain,
% 16.28/11.09 ((~![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)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12447,plain,
% 16.28/11.09 ((~![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))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12446, 12445])).
% 16.28/11.09 tff(12448,plain,
% 16.28/11.09 (~m_main_v_state1(s152, c_c1)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12447, 539, 12436])).
% 16.28/11.09 tff(12449,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12450,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s152, c_c1) | (~node10(s152)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12451,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s152, c_c1) | (~node10(s152))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12450, 12449])).
% 16.28/11.09 tff(12452,plain,
% 16.28/11.09 (~node10(s152)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12451, 675, 12448])).
% 16.28/11.09 tff(12453,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12454,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s152, c_n1) | (~node9(s152)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12455,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s152, c_n1) | (~node9(s152))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12454, 12453])).
% 16.28/11.09 tff(12456,plain,
% 16.28/11.09 (~node9(s152)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12455, 686, 12440])).
% 16.28/11.09 tff(12457,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12458,plain,
% 16.28/11.09 ((~![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)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12459,plain,
% 16.28/11.09 ((~![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))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 16.28/11.09 tff(12460,plain,
% 16.28/11.09 (~m_main_v_state2(s152, c_n2)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12459, 697, 12419])).
% 16.28/11.09 tff(12461,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12462,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s152, c_n2) | (~node8(s152)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12463,plain,
% 16.28/11.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s152, c_n2) | (~node8(s152))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12462, 12461])).
% 16.28/11.09 tff(12464,plain,
% 16.28/11.09 (~node8(s152)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12463, 271, 12460])).
% 16.28/11.09 tff(12465,plain,
% 16.28/11.09 (succ(s152, s153) <=> succ(s152, s153)),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12466,axiom,(succ(s152, s153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound153')).
% 16.28/11.09 tff(12467,plain,
% 16.28/11.09 (succ(s152, s153)),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 16.28/11.09 tff(12468,plain,
% 16.28/11.09 (((~![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))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12469,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12470,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153)),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 16.28/11.09 tff(12471,plain,
% 16.28/11.09 (trans(s152, s153)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12470, 12467, 32])).
% 16.28/11.09 tff(12472,plain,
% 16.28/11.09 (((~![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))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12473,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s152, s153)) | node14(s152, s153))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12474,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s152, s153)) | node14(s152, s153)),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12473, 12472])).
% 16.28/11.09 tff(12475,plain,
% 16.28/11.09 (node14(s152, s153)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12474, 46, 12471])).
% 16.28/11.09 tff(12476,plain,
% 16.28/11.09 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12477,plain,
% 16.28/11.09 (((~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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12478,plain,
% 16.28/11.09 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.28/11.09 inference(monotonicity,[status(thm)],[12477])).
% 16.28/11.09 tff(12479,plain,
% 16.28/11.09 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.28/11.09 inference(transitivity,[status(thm)],[12478, 12476])).
% 16.28/11.09 tff(12480,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12481,plain,
% 16.28/11.09 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12480, 12479])).
% 16.28/11.09 tff(12482,plain,
% 16.28/11.09 (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~m_main_v_state2(s152, c_c2))),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12481, 726, 12475])).
% 16.28/11.09 tff(12483,plain,
% 16.28/11.09 (m_main_v_state2(s153, c_n2)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12482, 12464, 12419, 12456, 12452, 12444, 12427])).
% 16.28/11.09 tff(12484,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.09 inference(rewrite,[status(thm)],[])).
% 16.28/11.09 tff(12485,plain,
% 16.28/11.09 ((~![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)))),
% 16.28/11.09 inference(quant_inst,[status(thm)],[])).
% 16.28/11.09 tff(12486,plain,
% 16.28/11.09 ((~![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))),
% 16.28/11.09 inference(modus_ponens,[status(thm)],[12485, 12484])).
% 16.28/11.09 tff(12487,plain,
% 16.28/11.09 (~m_main_v_state2(s153, c_c2)),
% 16.28/11.09 inference(unit_resolution,[status(thm)],[12486, 697, 12483])).
% 16.28/11.09 tff(12488,plain,
% 16.28/11.09 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12489,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s153, c_c2) | (~node3(s153)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12490,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s153, c_c2) | (~node3(s153))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12489, 12488])).
% 16.28/11.10 tff(12491,plain,
% 16.28/11.10 (~node3(s153)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12490, 399, 12487])).
% 16.28/11.10 tff(12492,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12493,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s152, c_n1) | (~node1(s152)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12494,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s152, c_n1) | (~node1(s152))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12493, 12492])).
% 16.28/11.10 tff(12495,plain,
% 16.28/11.10 (~node1(s152)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12494, 421, 12440])).
% 16.28/11.10 tff(12496,plain,
% 16.28/11.10 (((~![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))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12497,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s151, s152)) | node18(s151, s152))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12498,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s151, s152)) | node18(s151, s152)),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12497, 12496])).
% 16.28/11.10 tff(12499,plain,
% 16.28/11.10 (node18(s151, s152)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12498, 125, 12410])).
% 16.28/11.10 tff(12500,plain,
% 16.28/11.10 (((~![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(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))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12501,plain,
% 16.28/11.10 ((~![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(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12502,plain,
% 16.28/11.10 ((~![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(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2)),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12501, 12500])).
% 16.28/11.10 tff(12503,plain,
% 16.28/11.10 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | m_main_v_turn(s152, c_2)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12502, 760, 12499])).
% 16.28/11.10 tff(12504,plain,
% 16.28/11.10 (m_main_v_turn(s152, c_2)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12503, 12363, 12399])).
% 16.28/11.10 tff(12505,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12506,plain,
% 16.28/11.10 ((~![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)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12507,plain,
% 16.28/11.10 ((~![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))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12506, 12505])).
% 16.28/11.10 tff(12508,plain,
% 16.28/11.10 (~m_main_v_turn(s152, c_1)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12507, 156, 12504])).
% 16.28/11.10 tff(12509,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12510,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s152, c_1) | (~node5(s152)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12511,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s152, c_1) | (~node5(s152))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12510, 12509])).
% 16.28/11.10 tff(12512,plain,
% 16.28/11.10 (~node5(s152)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12511, 776, 12508])).
% 16.28/11.10 tff(12513,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12514,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s152, c_n1) | (~node2(s152)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12515,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s152, c_n1) | (~node2(s152))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12514, 12513])).
% 16.28/11.10 tff(12516,plain,
% 16.28/11.10 (~node2(s152)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12515, 787, 12440])).
% 16.28/11.10 tff(12517,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12518,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s152, c_n1) | (~node3(s152)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12519,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s152, c_n1) | (~node3(s152))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12518, 12517])).
% 16.28/11.10 tff(12520,plain,
% 16.28/11.10 (~node3(s152)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12519, 798, 12440])).
% 16.28/11.10 tff(12521,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12522,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s152, c_n2) | (~node4(s152)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12523,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s152, c_n2) | (~node4(s152))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12522, 12521])).
% 16.28/11.10 tff(12524,plain,
% 16.28/11.10 (~node4(s152)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12523, 388, 12460])).
% 16.28/11.10 tff(12525,plain,
% 16.28/11.10 (((~![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))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12526,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s152, s153)) | node7(s152, s153))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12527,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s152, s153)) | node7(s152, s153)),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12526, 12525])).
% 16.28/11.10 tff(12528,plain,
% 16.28/11.10 (node7(s152, s153)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12527, 206, 12471])).
% 16.28/11.10 tff(12529,plain,
% 16.28/11.10 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12530,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12531,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12530, 12529])).
% 16.28/11.10 tff(12532,plain,
% 16.28/11.10 (m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12531, 820, 12528])).
% 16.28/11.10 tff(12533,plain,
% 16.28/11.10 (node6(s152, s153)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12532, 12524, 12448, 12520, 12516, 12512, 12495])).
% 16.28/11.10 tff(12534,plain,
% 16.28/11.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12535,plain,
% 16.28/11.10 (((~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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12536,plain,
% 16.28/11.10 (((~![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))))),
% 16.28/11.10 inference(monotonicity,[status(thm)],[12535])).
% 16.28/11.10 tff(12537,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(transitivity,[status(thm)],[12536, 12534])).
% 16.28/11.10 tff(12538,plain,
% 16.28/11.10 ((~![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)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12539,plain,
% 16.28/11.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 16.28/11.10 tff(12540,plain,
% 16.28/11.10 (~m_main_v_state1(s153, c_n1)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12539, 835, 12440, 12533])).
% 16.28/11.10 tff(12541,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12542,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s153, c_n1) | (~node2(s153)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12543,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s153, c_n1) | (~node2(s153))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12542, 12541])).
% 16.28/11.10 tff(12544,plain,
% 16.28/11.10 (~node2(s153)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12543, 787, 12540])).
% 16.28/11.10 tff(12545,plain,
% 16.28/11.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12546,plain,
% 16.28/11.10 (((~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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12547,plain,
% 16.28/11.10 (((~![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))))),
% 16.28/11.10 inference(monotonicity,[status(thm)],[12546])).
% 16.28/11.10 tff(12548,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(transitivity,[status(thm)],[12547, 12545])).
% 16.28/11.10 tff(12549,plain,
% 16.28/11.10 ((~![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))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12550,plain,
% 16.28/11.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12549, 12548])).
% 16.28/11.10 tff(12551,plain,
% 16.28/11.10 (m_main_v_state1(s153, c_t1)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12550, 856, 12436, 12533])).
% 16.28/11.10 tff(12552,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12553,plain,
% 16.28/11.10 ((~![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)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12554,plain,
% 16.28/11.10 ((~![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))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12553, 12552])).
% 16.28/11.10 tff(12555,plain,
% 16.28/11.10 (~m_main_v_state2(s153, c_t2)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12554, 77, 12483])).
% 16.28/11.10 tff(12556,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12557,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s153, c_t2) | (~node1(s153)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12558,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s153, c_t2) | (~node1(s153))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12557, 12556])).
% 16.28/11.10 tff(12559,plain,
% 16.28/11.10 (~node1(s153)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12558, 195, 12555])).
% 16.28/11.10 tff(12560,plain,
% 16.28/11.10 (succ(s153, s154) <=> succ(s153, s154)),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12561,axiom,(succ(s153, s154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound154')).
% 16.28/11.10 tff(12562,plain,
% 16.28/11.10 (succ(s153, s154)),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12561, 12560])).
% 16.28/11.10 tff(12563,plain,
% 16.28/11.10 (((~![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))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12564,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12565,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154)),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12564, 12563])).
% 16.28/11.10 tff(12566,plain,
% 16.28/11.10 (trans(s153, s154)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12565, 12562, 32])).
% 16.28/11.10 tff(12567,plain,
% 16.28/11.10 (((~![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))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12568,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s153, s154)) | node7(s153, s154))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12569,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s153, s154)) | node7(s153, s154)),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12568, 12567])).
% 16.28/11.10 tff(12570,plain,
% 16.28/11.10 (node7(s153, s154)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12569, 206, 12566])).
% 16.28/11.10 tff(12571,plain,
% 16.28/11.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12572,plain,
% 16.28/11.10 (((~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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12573,plain,
% 16.28/11.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.28/11.10 inference(monotonicity,[status(thm)],[12572])).
% 16.28/11.10 tff(12574,plain,
% 16.28/11.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.28/11.10 inference(transitivity,[status(thm)],[12573, 12571])).
% 16.28/11.10 tff(12575,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12576,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12575, 12574])).
% 16.28/11.10 tff(12577,plain,
% 16.28/11.10 ((~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)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12576, 892, 12570])).
% 16.28/11.10 tff(12578,plain,
% 16.28/11.10 (m_main_v_state1(s154, c_c1)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12577, 12559, 12483, 12551, 12544, 12491])).
% 16.28/11.10 tff(12579,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12580,plain,
% 16.28/11.10 ((~![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)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12581,plain,
% 16.28/11.10 ((~![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))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12580, 12579])).
% 16.28/11.10 tff(12582,plain,
% 16.28/11.10 (~m_main_v_state1(s154, c_t1)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12581, 539, 12578])).
% 16.28/11.10 tff(12583,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12584,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s154, c_t1) | (~node5(s154)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12585,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s154, c_t1) | (~node5(s154))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12584, 12583])).
% 16.28/11.10 tff(12586,plain,
% 16.28/11.10 (~node5(s154)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12585, 550, 12582])).
% 16.28/11.10 tff(12587,plain,
% 16.28/11.10 (((~![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))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12588,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s153, s154)) | node14(s153, s154))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12589,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s153, s154)) | node14(s153, s154)),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12588, 12587])).
% 16.28/11.10 tff(12590,plain,
% 16.28/11.10 (node14(s153, s154)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12589, 46, 12566])).
% 16.28/11.10 tff(12591,plain,
% 16.28/11.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12592,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12593,plain,
% 16.28/11.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12592, 12591])).
% 16.28/11.10 tff(12594,plain,
% 16.28/11.10 ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state2(s154, c_t2)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12593, 922, 12590])).
% 16.28/11.10 tff(12595,plain,
% 16.28/11.10 (m_main_v_state2(s154, c_t2)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12594, 12551, 12483])).
% 16.28/11.10 tff(12596,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12597,plain,
% 16.28/11.10 ((~![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)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12598,plain,
% 16.28/11.10 ((~![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))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 16.28/11.10 tff(12599,plain,
% 16.28/11.10 (~m_main_v_state2(s154, c_n2)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12598, 77, 12595])).
% 16.28/11.10 tff(12600,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12601,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s154, c_n2) | (~node4(s154)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12602,plain,
% 16.28/11.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s154, c_n2) | (~node4(s154))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 16.28/11.10 tff(12603,plain,
% 16.28/11.10 (~node4(s154)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12602, 388, 12599])).
% 16.28/11.10 tff(12604,plain,
% 16.28/11.10 (((~![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)))),
% 16.28/11.10 inference(rewrite,[status(thm)],[])).
% 16.28/11.10 tff(12605,plain,
% 16.28/11.10 ((~![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)))),
% 16.28/11.10 inference(quant_inst,[status(thm)],[])).
% 16.28/11.10 tff(12606,plain,
% 16.28/11.10 ((~![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))),
% 16.28/11.10 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 16.28/11.10 tff(12607,plain,
% 16.28/11.10 (~m_main_v_state2(s154, c_c2)),
% 16.28/11.10 inference(unit_resolution,[status(thm)],[12606, 260, 12595])).
% 16.28/11.10 tff(12608,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12609,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s154, c_c2) | (~node3(s154)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12610,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s154, c_c2) | (~node3(s154))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12609, 12608])).
% 16.28/11.11 tff(12611,plain,
% 16.28/11.11 (~node3(s154)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12610, 399, 12607])).
% 16.28/11.11 tff(12612,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12613,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s154, c_n2) | (~node2(s154)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12614,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s154, c_n2) | (~node2(s154))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12613, 12612])).
% 16.28/11.11 tff(12615,plain,
% 16.28/11.11 (~node2(s154)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12614, 410, 12599])).
% 16.28/11.11 tff(12616,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12617,plain,
% 16.28/11.11 ((~![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)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12618,plain,
% 16.28/11.11 ((~![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))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12617, 12616])).
% 16.28/11.11 tff(12619,plain,
% 16.28/11.11 (~m_main_v_state1(s154, c_n1)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12618, 454, 12578])).
% 16.28/11.11 tff(12620,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12621,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s154, c_n1) | (~node1(s154)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12622,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s154, c_n1) | (~node1(s154))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12621, 12620])).
% 16.28/11.11 tff(12623,plain,
% 16.28/11.11 (~node1(s154)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12622, 421, 12619])).
% 16.28/11.11 tff(12624,plain,
% 16.28/11.11 (succ(s154, s155) <=> succ(s154, s155)),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12625,axiom,(succ(s154, s155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound155')).
% 16.28/11.11 tff(12626,plain,
% 16.28/11.11 (succ(s154, s155)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12625, 12624])).
% 16.28/11.11 tff(12627,plain,
% 16.28/11.11 (((~![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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12628,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12629,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12628, 12627])).
% 16.28/11.11 tff(12630,plain,
% 16.28/11.11 (trans(s154, s155)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12629, 12626, 32])).
% 16.28/11.11 tff(12631,plain,
% 16.28/11.11 (((~![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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12632,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s154, s155)) | node7(s154, s155))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12633,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s154, s155)) | node7(s154, s155)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12632, 12631])).
% 16.28/11.11 tff(12634,plain,
% 16.28/11.11 (node7(s154, s155)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12633, 206, 12630])).
% 16.28/11.11 tff(12635,plain,
% 16.28/11.11 (((~![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(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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12636,plain,
% 16.28/11.11 (((~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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12637,plain,
% 16.28/11.11 (((~![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(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))))),
% 16.28/11.11 inference(monotonicity,[status(thm)],[12636])).
% 16.28/11.11 tff(12638,plain,
% 16.28/11.11 (((~![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(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)))),
% 16.28/11.11 inference(transitivity,[status(thm)],[12637, 12635])).
% 16.28/11.11 tff(12639,plain,
% 16.28/11.11 ((~![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(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12640,plain,
% 16.28/11.11 ((~![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(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12639, 12638])).
% 16.28/11.11 tff(12641,plain,
% 16.28/11.11 (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12640, 584, 12634])).
% 16.28/11.11 tff(12642,plain,
% 16.28/11.11 (m_main_v_state1(s155, c_n1)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12641, 12623, 12578, 12615, 12611, 12603, 12586])).
% 16.28/11.11 tff(12643,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12644,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s153, c_t2) | (~node15(s153)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12645,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s153, c_t2) | (~node15(s153))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12644, 12643])).
% 16.28/11.11 tff(12646,plain,
% 16.28/11.11 (~node15(s153)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12645, 103, 12555])).
% 16.28/11.11 tff(12647,plain,
% 16.28/11.11 (((~![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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12648,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s153, s154)) | node18(s153, s154))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12649,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s153, s154)) | node18(s153, s154)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12648, 12647])).
% 16.28/11.11 tff(12650,plain,
% 16.28/11.11 (node18(s153, s154)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12649, 125, 12566])).
% 16.28/11.11 tff(12651,plain,
% 16.28/11.11 (((~![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(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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12652,plain,
% 16.28/11.11 (((~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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12653,plain,
% 16.28/11.11 (((~![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(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)))),
% 16.28/11.11 inference(monotonicity,[status(thm)],[12652])).
% 16.28/11.11 tff(12654,plain,
% 16.28/11.11 (((~![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(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))),
% 16.28/11.11 inference(transitivity,[status(thm)],[12653, 12651])).
% 16.28/11.11 tff(12655,plain,
% 16.28/11.11 ((~![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(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12656,plain,
% 16.28/11.11 ((~![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(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)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12655, 12654])).
% 16.28/11.11 tff(12657,plain,
% 16.28/11.11 (node15(s153) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12656, 992, 12650])).
% 16.28/11.11 tff(12658,plain,
% 16.28/11.11 (m_main_v_turn(s154, c_1)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12657, 12646, 12483, 12551])).
% 16.28/11.11 tff(12659,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12660,plain,
% 16.28/11.11 ((~![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)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12661,plain,
% 16.28/11.11 ((~![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))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 16.28/11.11 tff(12662,plain,
% 16.28/11.11 (~m_main_v_turn(s154, c_2)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12661, 156, 12658])).
% 16.28/11.11 tff(12663,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12664,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s154, c_2) | (~node12(s154)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12665,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s154, c_2) | (~node12(s154))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12664, 12663])).
% 16.28/11.11 tff(12666,plain,
% 16.28/11.11 (~node12(s154)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12665, 184, 12662])).
% 16.28/11.11 tff(12667,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12668,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s154, c_n2) | (~node8(s154)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12669,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s154, c_n2) | (~node8(s154))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12668, 12667])).
% 16.28/11.11 tff(12670,plain,
% 16.28/11.11 (~node8(s154)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12669, 271, 12599])).
% 16.28/11.11 tff(12671,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12672,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s154, c_n2) | (~node9(s154)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12673,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s154, c_n2) | (~node9(s154))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12672, 12671])).
% 16.28/11.11 tff(12674,plain,
% 16.28/11.11 (~node9(s154)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12673, 88, 12599])).
% 16.28/11.11 tff(12675,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12676,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s154, c_n2) | (~node10(s154)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12677,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s154, c_n2) | (~node10(s154))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12676, 12675])).
% 16.28/11.11 tff(12678,plain,
% 16.28/11.11 (~node10(s154)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12677, 249, 12599])).
% 16.28/11.11 tff(12679,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12680,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s154, c_n1) | (~node11(s154)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12681,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s154, c_n1) | (~node11(s154))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 16.28/11.11 tff(12682,plain,
% 16.28/11.11 (~node11(s154)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12681, 238, 12619])).
% 16.28/11.11 tff(12683,plain,
% 16.28/11.11 (((~![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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12684,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s154, s155)) | node14(s154, s155))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12685,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s154, s155)) | node14(s154, s155)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12684, 12683])).
% 16.28/11.11 tff(12686,plain,
% 16.28/11.11 (node14(s154, s155)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12685, 46, 12630])).
% 16.28/11.11 tff(12687,plain,
% 16.28/11.11 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12688,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12689,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12688, 12687])).
% 16.28/11.11 tff(12690,plain,
% 16.28/11.11 (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12689, 296, 12686])).
% 16.28/11.11 tff(12691,plain,
% 16.28/11.11 (node13(s154, s155)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12690, 12682, 12607, 12678, 12674, 12670, 12666])).
% 16.28/11.11 tff(12692,plain,
% 16.28/11.11 (((~![V: $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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12693,plain,
% 16.28/11.11 (((~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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12694,plain,
% 16.28/11.11 (((~![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))))),
% 16.28/11.11 inference(monotonicity,[status(thm)],[12693])).
% 16.28/11.11 tff(12695,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(transitivity,[status(thm)],[12694, 12692])).
% 16.28/11.11 tff(12696,plain,
% 16.28/11.11 ((~![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))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12697,plain,
% 16.28/11.11 ((~![V: $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))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12696, 12695])).
% 16.28/11.11 tff(12698,plain,
% 16.28/11.11 (m_main_v_state2(s155, c_t2)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12697, 518, 12595, 12691])).
% 16.28/11.11 tff(12699,plain,
% 16.28/11.11 (succ(s155, s156) <=> succ(s155, s156)),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12700,axiom,(succ(s155, s156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound156')).
% 16.28/11.11 tff(12701,plain,
% 16.28/11.11 (succ(s155, s156)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12700, 12699])).
% 16.28/11.11 tff(12702,plain,
% 16.28/11.11 (((~![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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12703,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12704,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12703, 12702])).
% 16.28/11.11 tff(12705,plain,
% 16.28/11.11 (trans(s155, s156)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12704, 12701, 32])).
% 16.28/11.11 tff(12706,plain,
% 16.28/11.11 (((~![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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12707,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s155, s156)) | node7(s155, s156))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12708,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s155, s156)) | node7(s155, s156)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12707, 12706])).
% 16.28/11.11 tff(12709,plain,
% 16.28/11.11 (node7(s155, s156)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12708, 206, 12705])).
% 16.28/11.11 tff(12710,plain,
% 16.28/11.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12711,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12712,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12711, 12710])).
% 16.28/11.11 tff(12713,plain,
% 16.28/11.11 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | m_main_v_state1(s156, c_t1)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12712, 651, 12709])).
% 16.28/11.11 tff(12714,plain,
% 16.28/11.11 (m_main_v_state1(s156, c_t1)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12713, 12698, 12642])).
% 16.28/11.11 tff(12715,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12716,plain,
% 16.28/11.11 ((~![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)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12717,plain,
% 16.28/11.11 ((~![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))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12716, 12715])).
% 16.28/11.11 tff(12718,plain,
% 16.28/11.11 (~m_main_v_state1(s156, c_n1)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12717, 10, 12714])).
% 16.28/11.11 tff(12719,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12720,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s156, c_n1) | (~node1(s156)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12721,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s156, c_n1) | (~node1(s156))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12720, 12719])).
% 16.28/11.11 tff(12722,plain,
% 16.28/11.11 (~node1(s156)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12721, 421, 12718])).
% 16.28/11.11 tff(12723,plain,
% 16.28/11.11 (((~![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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12724,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s155, s156)) | node18(s155, s156))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12725,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s155, s156)) | node18(s155, s156)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 16.28/11.11 tff(12726,plain,
% 16.28/11.11 (node18(s155, s156)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12725, 125, 12705])).
% 16.28/11.11 tff(12727,plain,
% 16.28/11.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12728,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12729,plain,
% 16.28/11.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2)),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12728, 12727])).
% 16.28/11.11 tff(12730,plain,
% 16.28/11.11 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | m_main_v_turn(s156, c_2)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12729, 760, 12726])).
% 16.28/11.11 tff(12731,plain,
% 16.28/11.11 (m_main_v_turn(s156, c_2)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12730, 12698, 12642])).
% 16.28/11.11 tff(12732,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12733,plain,
% 16.28/11.11 ((~![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)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12734,plain,
% 16.28/11.11 ((~![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))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12733, 12732])).
% 16.28/11.11 tff(12735,plain,
% 16.28/11.11 (~m_main_v_turn(s156, c_1)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12734, 156, 12731])).
% 16.28/11.11 tff(12736,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12737,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s156, c_1) | (~node5(s156)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12738,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s156, c_1) | (~node5(s156))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12737, 12736])).
% 16.28/11.11 tff(12739,plain,
% 16.28/11.11 (~node5(s156)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12738, 776, 12735])).
% 16.28/11.11 tff(12740,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12741,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s156, c_n1) | (~node2(s156)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12742,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s156, c_n1) | (~node2(s156))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12741, 12740])).
% 16.28/11.11 tff(12743,plain,
% 16.28/11.11 (~node2(s156)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12742, 787, 12718])).
% 16.28/11.11 tff(12744,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.11 inference(rewrite,[status(thm)],[])).
% 16.28/11.11 tff(12745,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s156, c_n1) | (~node3(s156)))),
% 16.28/11.11 inference(quant_inst,[status(thm)],[])).
% 16.28/11.11 tff(12746,plain,
% 16.28/11.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s156, c_n1) | (~node3(s156))),
% 16.28/11.11 inference(modus_ponens,[status(thm)],[12745, 12744])).
% 16.28/11.11 tff(12747,plain,
% 16.28/11.11 (~node3(s156)),
% 16.28/11.11 inference(unit_resolution,[status(thm)],[12746, 798, 12718])).
% 16.28/11.11 tff(12748,plain,
% 16.28/11.11 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12749,plain,
% 16.28/11.12 ((~![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)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12750,plain,
% 16.28/11.12 ((~![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))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12749, 12748])).
% 16.28/11.12 tff(12751,plain,
% 16.28/11.12 (~m_main_v_state1(s156, c_c1)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12750, 539, 12714])).
% 16.28/11.12 tff(12752,plain,
% 16.28/11.12 (((~![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(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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12753,plain,
% 16.28/11.12 (((~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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12754,plain,
% 16.28/11.12 (((~![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))))),
% 16.28/11.12 inference(monotonicity,[status(thm)],[12753])).
% 16.28/11.12 tff(12755,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(transitivity,[status(thm)],[12754, 12752])).
% 16.28/11.12 tff(12756,plain,
% 16.28/11.12 ((~![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)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12757,plain,
% 16.28/11.12 ((~![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(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12756, 12755])).
% 16.28/11.12 tff(12758,plain,
% 16.28/11.12 (~m_main_v_state2(s155, c_n2)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12757, 311, 12599, 12691])).
% 16.28/11.12 tff(12759,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12760,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s155, c_n2) | (~node9(s155)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12761,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s155, c_n2) | (~node9(s155))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12760, 12759])).
% 16.28/11.12 tff(12762,plain,
% 16.28/11.12 (~node9(s155)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12761, 88, 12758])).
% 16.28/11.12 tff(12763,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12764,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s155, c_n2) | (~node10(s155)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12765,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s155, c_n2) | (~node10(s155))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12764, 12763])).
% 16.28/11.12 tff(12766,plain,
% 16.28/11.12 (~node10(s155)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12765, 249, 12758])).
% 16.28/11.12 tff(12767,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12768,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s155, c_n2) | (~node8(s155)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12769,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s155, c_n2) | (~node8(s155))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12768, 12767])).
% 16.28/11.12 tff(12770,plain,
% 16.28/11.12 (~node8(s155)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12769, 271, 12758])).
% 16.28/11.12 tff(12771,plain,
% 16.28/11.12 (((~![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))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12772,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s155, s156)) | node14(s155, s156))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12773,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s155, s156)) | node14(s155, s156)),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12772, 12771])).
% 16.28/11.12 tff(12774,plain,
% 16.28/11.12 (node14(s155, s156)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12773, 46, 12705])).
% 16.28/11.12 tff(12775,plain,
% 16.28/11.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12776,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12777,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12776, 12775])).
% 16.28/11.12 tff(12778,plain,
% 16.28/11.12 ((~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)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12777, 617, 12774])).
% 16.28/11.12 tff(12779,plain,
% 16.28/11.12 (m_main_v_state2(s156, c_c2)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12778, 12770, 12642, 12698, 12766, 12762])).
% 16.28/11.12 tff(12780,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12781,plain,
% 16.28/11.12 ((~![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)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12782,plain,
% 16.28/11.12 ((~![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))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12781, 12780])).
% 16.28/11.12 tff(12783,plain,
% 16.28/11.12 (~m_main_v_state2(s156, c_n2)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12782, 697, 12779])).
% 16.28/11.12 tff(12784,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12785,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s156, c_n2) | (~node4(s156)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12786,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s156, c_n2) | (~node4(s156))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12785, 12784])).
% 16.28/11.12 tff(12787,plain,
% 16.28/11.12 (~node4(s156)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12786, 388, 12783])).
% 16.28/11.12 tff(12788,plain,
% 16.28/11.12 (succ(s156, s157) <=> succ(s156, s157)),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12789,axiom,(succ(s156, s157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound157')).
% 16.28/11.12 tff(12790,plain,
% 16.28/11.12 (succ(s156, s157)),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12789, 12788])).
% 16.28/11.12 tff(12791,plain,
% 16.28/11.12 (((~![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))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12792,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12793,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157)),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 16.28/11.12 tff(12794,plain,
% 16.28/11.12 (trans(s156, s157)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12793, 12790, 32])).
% 16.28/11.12 tff(12795,plain,
% 16.28/11.12 (((~![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))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12796,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s156, s157)) | node7(s156, s157))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12797,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s156, s157)) | node7(s156, s157)),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12796, 12795])).
% 16.28/11.12 tff(12798,plain,
% 16.28/11.12 (node7(s156, s157)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12797, 206, 12794])).
% 16.28/11.12 tff(12799,plain,
% 16.28/11.12 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12800,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12801,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 16.28/11.12 tff(12802,plain,
% 16.28/11.12 (m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12801, 820, 12798])).
% 16.28/11.12 tff(12803,plain,
% 16.28/11.12 (node6(s156, s157)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12802, 12787, 12751, 12747, 12743, 12739, 12722])).
% 16.28/11.12 tff(12804,plain,
% 16.28/11.12 (((~![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(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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12805,plain,
% 16.28/11.12 (((~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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12806,plain,
% 16.28/11.12 (((~![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))))),
% 16.28/11.12 inference(monotonicity,[status(thm)],[12805])).
% 16.28/11.12 tff(12807,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(transitivity,[status(thm)],[12806, 12804])).
% 16.28/11.12 tff(12808,plain,
% 16.28/11.12 ((~![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))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12809,plain,
% 16.28/11.12 ((~![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(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12808, 12807])).
% 16.28/11.12 tff(12810,plain,
% 16.28/11.12 (m_main_v_state1(s157, c_t1)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12809, 856, 12714, 12803])).
% 16.28/11.12 tff(12811,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12812,plain,
% 16.28/11.12 ((~![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)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12813,plain,
% 16.28/11.12 ((~![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))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12812, 12811])).
% 16.28/11.12 tff(12814,plain,
% 16.28/11.12 (~m_main_v_state2(s156, c_t2)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12813, 260, 12779])).
% 16.28/11.12 tff(12815,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12816,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s156, c_t2) | (~node12(s156)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12817,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s156, c_t2) | (~node12(s156))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12816, 12815])).
% 16.28/11.12 tff(12818,plain,
% 16.28/11.12 (~node12(s156)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12817, 633, 12814])).
% 16.28/11.12 tff(12819,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12820,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s156, c_n1) | (~node11(s156)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12821,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s156, c_n1) | (~node11(s156))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12820, 12819])).
% 16.28/11.12 tff(12822,plain,
% 16.28/11.12 (~node11(s156)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12821, 238, 12718])).
% 16.28/11.12 tff(12823,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12824,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s156, c_c1) | (~node10(s156)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12825,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s156, c_c1) | (~node10(s156))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12824, 12823])).
% 16.28/11.12 tff(12826,plain,
% 16.28/11.12 (~node10(s156)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12825, 675, 12751])).
% 16.28/11.12 tff(12827,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12828,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s156, c_n1) | (~node9(s156)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12829,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s156, c_n1) | (~node9(s156))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12828, 12827])).
% 16.28/11.12 tff(12830,plain,
% 16.28/11.12 (~node9(s156)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12829, 686, 12718])).
% 16.28/11.12 tff(12831,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12832,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s156, c_n2) | (~node8(s156)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12833,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s156, c_n2) | (~node8(s156))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12832, 12831])).
% 16.28/11.12 tff(12834,plain,
% 16.28/11.12 (~node8(s156)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12833, 271, 12783])).
% 16.28/11.12 tff(12835,plain,
% 16.28/11.12 (((~![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))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12836,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s156, s157)) | node14(s156, s157))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12837,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s156, s157)) | node14(s156, s157)),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12836, 12835])).
% 16.28/11.12 tff(12838,plain,
% 16.28/11.12 (node14(s156, s157)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12837, 46, 12794])).
% 16.28/11.12 tff(12839,plain,
% 16.28/11.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12840,plain,
% 16.28/11.12 (((~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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12841,plain,
% 16.28/11.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 16.28/11.12 inference(monotonicity,[status(thm)],[12840])).
% 16.28/11.12 tff(12842,plain,
% 16.28/11.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.28/11.12 inference(transitivity,[status(thm)],[12841, 12839])).
% 16.28/11.12 tff(12843,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12844,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12843, 12842])).
% 16.28/11.12 tff(12845,plain,
% 16.28/11.12 (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~m_main_v_state2(s156, c_c2))),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12844, 726, 12838])).
% 16.28/11.12 tff(12846,plain,
% 16.28/11.12 (m_main_v_state2(s157, c_n2)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12845, 12834, 12779, 12830, 12826, 12822, 12818])).
% 16.28/11.12 tff(12847,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12848,plain,
% 16.28/11.12 ((~![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)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12849,plain,
% 16.28/11.12 ((~![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))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12848, 12847])).
% 16.28/11.12 tff(12850,plain,
% 16.28/11.12 (~m_main_v_state2(s157, c_t2)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12849, 77, 12846])).
% 16.28/11.12 tff(12851,plain,
% 16.28/11.12 (((~![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)))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12852,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s157, c_t2) | (~node15(s157)))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12853,plain,
% 16.28/11.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s157, c_t2) | (~node15(s157))),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12852, 12851])).
% 16.28/11.12 tff(12854,plain,
% 16.28/11.12 (~node15(s157)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12853, 103, 12850])).
% 16.28/11.12 tff(12855,plain,
% 16.28/11.12 (succ(s157, s158) <=> succ(s157, s158)),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12856,axiom,(succ(s157, s158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound158')).
% 16.28/11.12 tff(12857,plain,
% 16.28/11.12 (succ(s157, s158)),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12856, 12855])).
% 16.28/11.12 tff(12858,plain,
% 16.28/11.12 (((~![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))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12859,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12860,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158)),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 16.28/11.12 tff(12861,plain,
% 16.28/11.12 (trans(s157, s158)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12860, 12857, 32])).
% 16.28/11.12 tff(12862,plain,
% 16.28/11.12 (((~![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))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12863,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s157, s158)) | node18(s157, s158))),
% 16.28/11.12 inference(quant_inst,[status(thm)],[])).
% 16.28/11.12 tff(12864,plain,
% 16.28/11.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s157, s158)) | node18(s157, s158)),
% 16.28/11.12 inference(modus_ponens,[status(thm)],[12863, 12862])).
% 16.28/11.12 tff(12865,plain,
% 16.28/11.12 (node18(s157, s158)),
% 16.28/11.12 inference(unit_resolution,[status(thm)],[12864, 125, 12861])).
% 16.28/11.12 tff(12866,plain,
% 16.28/11.12 (((~![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(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))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12867,plain,
% 16.28/11.12 (((~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))),
% 16.28/11.12 inference(rewrite,[status(thm)],[])).
% 16.28/11.12 tff(12868,plain,
% 16.28/11.12 (((~![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(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)))),
% 16.28/11.13 inference(monotonicity,[status(thm)],[12867])).
% 16.28/11.13 tff(12869,plain,
% 16.28/11.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 16.28/11.13 inference(transitivity,[status(thm)],[12868, 12866])).
% 16.28/11.13 tff(12870,plain,
% 16.28/11.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1))),
% 16.28/11.13 inference(quant_inst,[status(thm)],[])).
% 16.28/11.13 tff(12871,plain,
% 16.28/11.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 16.28/11.13 inference(modus_ponens,[status(thm)],[12870, 12869])).
% 16.28/11.13 tff(12872,plain,
% 16.28/11.13 (node15(s157) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1)),
% 16.28/11.13 inference(unit_resolution,[status(thm)],[12871, 992, 12865])).
% 16.28/11.13 tff(12873,plain,
% 16.28/11.13 (m_main_v_turn(s158, c_1)),
% 16.28/11.13 inference(unit_resolution,[status(thm)],[12872, 12854, 12846, 12810])).
% 16.28/11.13 tff(12874,plain,
% 16.28/11.13 (((~![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)))),
% 16.28/11.13 inference(rewrite,[status(thm)],[])).
% 16.28/11.13 tff(12875,plain,
% 16.28/11.13 ((~![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)))),
% 16.28/11.13 inference(quant_inst,[status(thm)],[])).
% 16.28/11.13 tff(12876,plain,
% 16.28/11.13 ((~![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))),
% 16.28/11.13 inference(modus_ponens,[status(thm)],[12875, 12874])).
% 16.28/11.13 tff(12877,plain,
% 16.28/11.13 (~m_main_v_turn(s158, c_2)),
% 16.28/11.13 inference(unit_resolution,[status(thm)],[12876, 156, 12873])).
% 16.28/11.13 tff(12878,plain,
% 16.28/11.13 (((~![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)))),
% 16.28/11.13 inference(rewrite,[status(thm)],[])).
% 16.28/11.13 tff(12879,plain,
% 16.28/11.13 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s158, c_2) | (~node12(s158)))),
% 16.28/11.13 inference(quant_inst,[status(thm)],[])).
% 16.28/11.13 tff(12880,plain,
% 16.28/11.13 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s158, c_2) | (~node12(s158))),
% 16.28/11.13 inference(modus_ponens,[status(thm)],[12879, 12878])).
% 16.28/11.13 tff(12881,plain,
% 16.28/11.13 (~node12(s158)),
% 16.28/11.13 inference(unit_resolution,[status(thm)],[12880, 184, 12877])).
% 16.28/11.13 tff(12882,plain,
% 16.28/11.13 (((~![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))),
% 16.28/11.13 inference(rewrite,[status(thm)],[])).
% 16.28/11.13 tff(12883,plain,
% 16.28/11.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s157, s158)) | node14(s157, s158))),
% 16.28/11.13 inference(quant_inst,[status(thm)],[])).
% 16.28/11.13 tff(12884,plain,
% 16.28/11.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s157, s158)) | node14(s157, s158)),
% 16.28/11.13 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 16.28/11.13 tff(12885,plain,
% 16.28/11.13 (node14(s157, s158)),
% 16.28/11.13 inference(unit_resolution,[status(thm)],[12884, 46, 12861])).
% 16.28/11.13 tff(12886,plain,
% 16.28/11.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.28/11.13 inference(rewrite,[status(thm)],[])).
% 16.28/11.13 tff(12887,plain,
% 16.28/11.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.28/11.13 inference(quant_inst,[status(thm)],[])).
% 16.28/11.13 tff(12888,plain,
% 16.28/11.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.28/11.13 inference(modus_ponens,[status(thm)],[12887, 12886])).
% 16.28/11.13 tff(12889,plain,
% 16.28/11.13 ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state2(s158, c_t2)),
% 16.28/11.13 inference(unit_resolution,[status(thm)],[12888, 922, 12885])).
% 16.28/11.13 tff(12890,plain,
% 16.28/11.13 (m_main_v_state2(s158, c_t2)),
% 16.28/11.13 inference(unit_resolution,[status(thm)],[12889, 12810, 12846])).
% 16.28/11.13 tff(12891,plain,
% 16.28/11.13 (((~![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)))),
% 16.28/11.13 inference(rewrite,[status(thm)],[])).
% 16.28/11.13 tff(12892,plain,
% 16.28/11.13 ((~![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)))),
% 16.28/11.13 inference(quant_inst,[status(thm)],[])).
% 16.28/11.13 tff(12893,plain,
% 16.28/11.13 ((~![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))),
% 16.28/11.13 inference(modus_ponens,[status(thm)],[12892, 12891])).
% 16.28/11.13 tff(12894,plain,
% 16.28/11.13 (~m_main_v_state2(s158, c_n2)),
% 16.28/11.13 inference(unit_resolution,[status(thm)],[12893, 77, 12890])).
% 16.28/11.13 tff(12895,plain,
% 16.28/11.13 (((~![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)))),
% 16.28/11.13 inference(rewrite,[status(thm)],[])).
% 16.28/11.13 tff(12896,plain,
% 16.28/11.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s158, c_n2) | (~node8(s158)))),
% 16.28/11.13 inference(quant_inst,[status(thm)],[])).
% 16.28/11.13 tff(12897,plain,
% 16.28/11.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s158, c_n2) | (~node8(s158))),
% 16.28/11.13 inference(modus_ponens,[status(thm)],[12896, 12895])).
% 16.28/11.13 tff(12898,plain,
% 16.28/11.13 (~node8(s158)),
% 16.28/11.13 inference(unit_resolution,[status(thm)],[12897, 271, 12894])).
% 16.28/11.13 tff(12899,plain,
% 16.28/11.13 (((~![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)))),
% 16.28/11.13 inference(rewrite,[status(thm)],[])).
% 16.28/11.13 tff(12900,plain,
% 16.28/11.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s158, c_n2) | (~node9(s158)))),
% 16.28/11.13 inference(quant_inst,[status(thm)],[])).
% 16.28/11.13 tff(12901,plain,
% 16.28/11.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s158, c_n2) | (~node9(s158))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12900, 12899])).
% 16.33/11.13 tff(12902,plain,
% 16.33/11.13 (~node9(s158)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12901, 88, 12894])).
% 16.33/11.13 tff(12903,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12904,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s158, c_n2) | (~node10(s158)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12905,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s158, c_n2) | (~node10(s158))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12904, 12903])).
% 16.33/11.13 tff(12906,plain,
% 16.33/11.13 (~node10(s158)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12905, 249, 12894])).
% 16.33/11.13 tff(12907,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12908,plain,
% 16.33/11.13 ((~![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)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12909,plain,
% 16.33/11.13 ((~![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))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12908, 12907])).
% 16.33/11.13 tff(12910,plain,
% 16.33/11.13 (~m_main_v_state2(s158, c_c2)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12909, 260, 12890])).
% 16.33/11.13 tff(12911,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12912,plain,
% 16.33/11.13 ((~![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)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12913,plain,
% 16.33/11.13 ((~![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))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12912, 12911])).
% 16.33/11.13 tff(12914,plain,
% 16.33/11.13 (~m_main_v_state2(s157, c_c2)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12913, 697, 12846])).
% 16.33/11.13 tff(12915,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12916,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s157, c_c2) | (~node3(s157)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12917,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s157, c_c2) | (~node3(s157))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12916, 12915])).
% 16.33/11.13 tff(12918,plain,
% 16.33/11.13 (~node3(s157)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12917, 399, 12914])).
% 16.33/11.13 tff(12919,plain,
% 16.33/11.13 (((~![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(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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12920,plain,
% 16.33/11.13 (((~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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12921,plain,
% 16.33/11.13 (((~![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))))),
% 16.33/11.13 inference(monotonicity,[status(thm)],[12920])).
% 16.33/11.13 tff(12922,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(transitivity,[status(thm)],[12921, 12919])).
% 16.33/11.13 tff(12923,plain,
% 16.33/11.13 ((~![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)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12924,plain,
% 16.33/11.13 ((~![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(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12923, 12922])).
% 16.33/11.13 tff(12925,plain,
% 16.33/11.13 (~m_main_v_state1(s157, c_n1)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12924, 835, 12718, 12803])).
% 16.33/11.13 tff(12926,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12927,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s157, c_n1) | (~node2(s157)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12928,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s157, c_n1) | (~node2(s157))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12927, 12926])).
% 16.33/11.13 tff(12929,plain,
% 16.33/11.13 (~node2(s157)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12928, 787, 12925])).
% 16.33/11.13 tff(12930,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12931,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s157, c_t2) | (~node1(s157)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12932,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s157, c_t2) | (~node1(s157))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12931, 12930])).
% 16.33/11.13 tff(12933,plain,
% 16.33/11.13 (~node1(s157)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12932, 195, 12850])).
% 16.33/11.13 tff(12934,plain,
% 16.33/11.13 (((~![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))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12935,plain,
% 16.33/11.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s157, s158)) | node7(s157, s158))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12936,plain,
% 16.33/11.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s157, s158)) | node7(s157, s158)),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12935, 12934])).
% 16.33/11.13 tff(12937,plain,
% 16.33/11.13 (node7(s157, s158)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12936, 206, 12861])).
% 16.33/11.13 tff(12938,plain,
% 16.33/11.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12939,plain,
% 16.33/11.13 (((~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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12940,plain,
% 16.33/11.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 16.33/11.13 inference(monotonicity,[status(thm)],[12939])).
% 16.33/11.13 tff(12941,plain,
% 16.33/11.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.33/11.13 inference(transitivity,[status(thm)],[12940, 12938])).
% 16.33/11.13 tff(12942,plain,
% 16.33/11.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12943,plain,
% 16.33/11.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 16.33/11.13 tff(12944,plain,
% 16.33/11.13 ((~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)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12943, 892, 12937])).
% 16.33/11.13 tff(12945,plain,
% 16.33/11.13 (m_main_v_state1(s158, c_c1)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12944, 12933, 12846, 12810, 12929, 12918])).
% 16.33/11.13 tff(12946,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12947,plain,
% 16.33/11.13 ((~![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)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12948,plain,
% 16.33/11.13 ((~![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))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12947, 12946])).
% 16.33/11.13 tff(12949,plain,
% 16.33/11.13 (~m_main_v_state1(s158, c_n1)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12948, 454, 12945])).
% 16.33/11.13 tff(12950,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12951,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s158, c_n1) | (~node11(s158)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12952,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s158, c_n1) | (~node11(s158))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12951, 12950])).
% 16.33/11.13 tff(12953,plain,
% 16.33/11.13 (~node11(s158)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12952, 238, 12949])).
% 16.33/11.13 tff(12954,plain,
% 16.33/11.13 (succ(s158, s159) <=> succ(s158, s159)),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12955,axiom,(succ(s158, s159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound159')).
% 16.33/11.13 tff(12956,plain,
% 16.33/11.13 (succ(s158, s159)),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12955, 12954])).
% 16.33/11.13 tff(12957,plain,
% 16.33/11.13 (((~![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))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12958,plain,
% 16.33/11.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12959,plain,
% 16.33/11.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159)),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 16.33/11.13 tff(12960,plain,
% 16.33/11.13 (trans(s158, s159)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12959, 12956, 32])).
% 16.33/11.13 tff(12961,plain,
% 16.33/11.13 (((~![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))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12962,plain,
% 16.33/11.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s158, s159)) | node14(s158, s159))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12963,plain,
% 16.33/11.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s158, s159)) | node14(s158, s159)),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12962, 12961])).
% 16.33/11.13 tff(12964,plain,
% 16.33/11.13 (node14(s158, s159)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12963, 46, 12960])).
% 16.33/11.13 tff(12965,plain,
% 16.33/11.13 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12966,plain,
% 16.33/11.13 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12967,plain,
% 16.33/11.13 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12966, 12965])).
% 16.33/11.13 tff(12968,plain,
% 16.33/11.13 (m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12967, 296, 12964])).
% 16.33/11.13 tff(12969,plain,
% 16.33/11.13 (node13(s158, s159)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12968, 12953, 12910, 12906, 12902, 12898, 12881])).
% 16.33/11.13 tff(12970,plain,
% 16.33/11.13 (((~![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(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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12971,plain,
% 16.33/11.13 (((~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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12972,plain,
% 16.33/11.13 (((~![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))))),
% 16.33/11.13 inference(monotonicity,[status(thm)],[12971])).
% 16.33/11.13 tff(12973,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(transitivity,[status(thm)],[12972, 12970])).
% 16.33/11.13 tff(12974,plain,
% 16.33/11.13 ((~![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)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12975,plain,
% 16.33/11.13 ((~![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(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12974, 12973])).
% 16.33/11.13 tff(12976,plain,
% 16.33/11.13 (~m_main_v_state2(s159, c_n2)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12975, 311, 12894, 12969])).
% 16.33/11.13 tff(12977,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12978,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s159, c_n2) | (~node9(s159)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12979,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s159, c_n2) | (~node9(s159))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12978, 12977])).
% 16.33/11.13 tff(12980,plain,
% 16.33/11.13 (~node9(s159)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12979, 88, 12976])).
% 16.33/11.13 tff(12981,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12982,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s159, c_n2) | (~node10(s159)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12983,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s159, c_n2) | (~node10(s159))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12982, 12981])).
% 16.33/11.13 tff(12984,plain,
% 16.33/11.13 (~node10(s159)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12983, 249, 12976])).
% 16.33/11.13 tff(12985,plain,
% 16.33/11.13 (((~![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(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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12986,plain,
% 16.33/11.13 (((~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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12987,plain,
% 16.33/11.13 (((~![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))))),
% 16.33/11.13 inference(monotonicity,[status(thm)],[12986])).
% 16.33/11.13 tff(12988,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(transitivity,[status(thm)],[12987, 12985])).
% 16.33/11.13 tff(12989,plain,
% 16.33/11.13 ((~![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))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12990,plain,
% 16.33/11.13 ((~![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(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12989, 12988])).
% 16.33/11.13 tff(12991,plain,
% 16.33/11.13 (m_main_v_state2(s159, c_t2)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12990, 518, 12890, 12969])).
% 16.33/11.13 tff(12992,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12993,plain,
% 16.33/11.13 ((~![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)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12994,plain,
% 16.33/11.13 ((~![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))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12993, 12992])).
% 16.33/11.13 tff(12995,plain,
% 16.33/11.13 (~m_main_v_state1(s158, c_t1)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12994, 539, 12945])).
% 16.33/11.13 tff(12996,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.13 inference(rewrite,[status(thm)],[])).
% 16.33/11.13 tff(12997,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s158, c_t1) | (~node5(s158)))),
% 16.33/11.13 inference(quant_inst,[status(thm)],[])).
% 16.33/11.13 tff(12998,plain,
% 16.33/11.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s158, c_t1) | (~node5(s158))),
% 16.33/11.13 inference(modus_ponens,[status(thm)],[12997, 12996])).
% 16.33/11.13 tff(12999,plain,
% 16.33/11.13 (~node5(s158)),
% 16.33/11.13 inference(unit_resolution,[status(thm)],[12998, 550, 12995])).
% 16.33/11.13 tff(13000,plain,
% 16.33/11.13 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13001,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s158, c_n2) | (~node4(s158)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13002,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s158, c_n2) | (~node4(s158))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13001, 13000])).
% 16.33/11.14 tff(13003,plain,
% 16.33/11.14 (~node4(s158)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13002, 388, 12894])).
% 16.33/11.14 tff(13004,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13005,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s158, c_c2) | (~node3(s158)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13006,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s158, c_c2) | (~node3(s158))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13005, 13004])).
% 16.33/11.14 tff(13007,plain,
% 16.33/11.14 (~node3(s158)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13006, 399, 12910])).
% 16.33/11.14 tff(13008,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13009,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s158, c_n2) | (~node2(s158)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13010,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s158, c_n2) | (~node2(s158))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13009, 13008])).
% 16.33/11.14 tff(13011,plain,
% 16.33/11.14 (~node2(s158)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13010, 410, 12894])).
% 16.33/11.14 tff(13012,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13013,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s158, c_n1) | (~node1(s158)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13014,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s158, c_n1) | (~node1(s158))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13013, 13012])).
% 16.33/11.14 tff(13015,plain,
% 16.33/11.14 (~node1(s158)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13014, 421, 12949])).
% 16.33/11.14 tff(13016,plain,
% 16.33/11.14 (((~![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))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13017,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s158, s159)) | node7(s158, s159))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13018,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s158, s159)) | node7(s158, s159)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13017, 13016])).
% 16.33/11.14 tff(13019,plain,
% 16.33/11.14 (node7(s158, s159)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13018, 206, 12960])).
% 16.33/11.14 tff(13020,plain,
% 16.33/11.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13021,plain,
% 16.33/11.14 (((~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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13022,plain,
% 16.33/11.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 16.33/11.14 inference(monotonicity,[status(thm)],[13021])).
% 16.33/11.14 tff(13023,plain,
% 16.33/11.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 16.33/11.14 inference(transitivity,[status(thm)],[13022, 13020])).
% 16.33/11.14 tff(13024,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13025,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13024, 13023])).
% 16.33/11.14 tff(13026,plain,
% 16.33/11.14 (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13025, 584, 13019])).
% 16.33/11.14 tff(13027,plain,
% 16.33/11.14 (m_main_v_state1(s159, c_n1)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13026, 13015, 12945, 13011, 13007, 13003, 12999])).
% 16.33/11.14 tff(13028,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13029,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s159, c_n2) | (~node8(s159)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13030,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s159, c_n2) | (~node8(s159))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13029, 13028])).
% 16.33/11.14 tff(13031,plain,
% 16.33/11.14 (~node8(s159)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13030, 271, 12976])).
% 16.33/11.14 tff(13032,plain,
% 16.33/11.14 (succ(s159, s160) <=> succ(s159, s160)),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13033,axiom,(succ(s159, s160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound160')).
% 16.33/11.14 tff(13034,plain,
% 16.33/11.14 (succ(s159, s160)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 16.33/11.14 tff(13035,plain,
% 16.33/11.14 (((~![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))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13036,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13037,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13036, 13035])).
% 16.33/11.14 tff(13038,plain,
% 16.33/11.14 (trans(s159, s160)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13037, 13034, 32])).
% 16.33/11.14 tff(13039,plain,
% 16.33/11.14 (((~![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))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13040,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s159, s160)) | node14(s159, s160))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13041,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s159, s160)) | node14(s159, s160)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13040, 13039])).
% 16.33/11.14 tff(13042,plain,
% 16.33/11.14 (node14(s159, s160)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13041, 46, 13038])).
% 16.33/11.14 tff(13043,plain,
% 16.33/11.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13044,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13045,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13044, 13043])).
% 16.33/11.14 tff(13046,plain,
% 16.33/11.14 ((~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)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13045, 617, 13042])).
% 16.33/11.14 tff(13047,plain,
% 16.33/11.14 (m_main_v_state2(s160, c_c2)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13046, 13031, 13027, 12991, 12984, 12980])).
% 16.33/11.14 tff(13048,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13049,plain,
% 16.33/11.14 ((~![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)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13050,plain,
% 16.33/11.14 ((~![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))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13049, 13048])).
% 16.33/11.14 tff(13051,plain,
% 16.33/11.14 (~m_main_v_state2(s160, c_t2)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13050, 260, 13047])).
% 16.33/11.14 tff(13052,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13053,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s160, c_t2) | (~node12(s160)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13054,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s160, c_t2) | (~node12(s160))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13053, 13052])).
% 16.33/11.14 tff(13055,plain,
% 16.33/11.14 (~node12(s160)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13054, 633, 13051])).
% 16.33/11.14 tff(13056,plain,
% 16.33/11.14 (((~![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))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13057,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s159, s160)) | node7(s159, s160))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13058,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s159, s160)) | node7(s159, s160)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13057, 13056])).
% 16.33/11.14 tff(13059,plain,
% 16.33/11.14 (node7(s159, s160)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13058, 206, 13038])).
% 16.33/11.14 tff(13060,plain,
% 16.33/11.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13061,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13062,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13061, 13060])).
% 16.33/11.14 tff(13063,plain,
% 16.33/11.14 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | m_main_v_state1(s160, c_t1)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13062, 651, 13059])).
% 16.33/11.14 tff(13064,plain,
% 16.33/11.14 (m_main_v_state1(s160, c_t1)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13063, 12991, 13027])).
% 16.33/11.14 tff(13065,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13066,plain,
% 16.33/11.14 ((~![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)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13067,plain,
% 16.33/11.14 ((~![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))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13066, 13065])).
% 16.33/11.14 tff(13068,plain,
% 16.33/11.14 (~m_main_v_state1(s160, c_n1)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13067, 10, 13064])).
% 16.33/11.14 tff(13069,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13070,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s160, c_n1) | (~node11(s160)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13071,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s160, c_n1) | (~node11(s160))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13070, 13069])).
% 16.33/11.14 tff(13072,plain,
% 16.33/11.14 (~node11(s160)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13071, 238, 13068])).
% 16.33/11.14 tff(13073,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13074,plain,
% 16.33/11.14 ((~![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)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13075,plain,
% 16.33/11.14 ((~![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))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13074, 13073])).
% 16.33/11.14 tff(13076,plain,
% 16.33/11.14 (~m_main_v_state1(s160, c_c1)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13075, 539, 13064])).
% 16.33/11.14 tff(13077,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13078,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s160, c_c1) | (~node10(s160)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13079,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s160, c_c1) | (~node10(s160))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13078, 13077])).
% 16.33/11.14 tff(13080,plain,
% 16.33/11.14 (~node10(s160)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13079, 675, 13076])).
% 16.33/11.14 tff(13081,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13082,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s160, c_n1) | (~node9(s160)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13083,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s160, c_n1) | (~node9(s160))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13082, 13081])).
% 16.33/11.14 tff(13084,plain,
% 16.33/11.14 (~node9(s160)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13083, 686, 13068])).
% 16.33/11.14 tff(13085,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13086,plain,
% 16.33/11.14 ((~![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)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13087,plain,
% 16.33/11.14 ((~![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))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13086, 13085])).
% 16.33/11.14 tff(13088,plain,
% 16.33/11.14 (~m_main_v_state2(s160, c_n2)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13087, 697, 13047])).
% 16.33/11.14 tff(13089,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13090,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s160, c_n2) | (~node8(s160)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13091,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s160, c_n2) | (~node8(s160))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13090, 13089])).
% 16.33/11.14 tff(13092,plain,
% 16.33/11.14 (~node8(s160)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13091, 271, 13088])).
% 16.33/11.14 tff(13093,plain,
% 16.33/11.14 (succ(s160, s161) <=> succ(s160, s161)),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13094,axiom,(succ(s160, s161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound161')).
% 16.33/11.14 tff(13095,plain,
% 16.33/11.14 (succ(s160, s161)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 16.33/11.14 tff(13096,plain,
% 16.33/11.14 (((~![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))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13097,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13098,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13097, 13096])).
% 16.33/11.14 tff(13099,plain,
% 16.33/11.14 (trans(s160, s161)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13098, 13095, 32])).
% 16.33/11.14 tff(13100,plain,
% 16.33/11.14 (((~![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))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13101,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s160, s161)) | node14(s160, s161))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13102,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s160, s161)) | node14(s160, s161)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13101, 13100])).
% 16.33/11.14 tff(13103,plain,
% 16.33/11.14 (node14(s160, s161)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13102, 46, 13099])).
% 16.33/11.14 tff(13104,plain,
% 16.33/11.14 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13105,plain,
% 16.33/11.14 (((~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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13106,plain,
% 16.33/11.14 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.33/11.14 inference(monotonicity,[status(thm)],[13105])).
% 16.33/11.14 tff(13107,plain,
% 16.33/11.14 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.33/11.14 inference(transitivity,[status(thm)],[13106, 13104])).
% 16.33/11.14 tff(13108,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13109,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13108, 13107])).
% 16.33/11.14 tff(13110,plain,
% 16.33/11.14 (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~m_main_v_state2(s160, c_c2))),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13109, 726, 13103])).
% 16.33/11.14 tff(13111,plain,
% 16.33/11.14 (m_main_v_state2(s161, c_n2)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13110, 13092, 13047, 13084, 13080, 13072, 13055])).
% 16.33/11.14 tff(13112,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13113,plain,
% 16.33/11.14 ((~![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)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13114,plain,
% 16.33/11.14 ((~![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))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13113, 13112])).
% 16.33/11.14 tff(13115,plain,
% 16.33/11.14 (~m_main_v_state2(s161, c_c2)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13114, 697, 13111])).
% 16.33/11.14 tff(13116,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13117,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s161, c_c2) | (~node3(s161)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13118,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s161, c_c2) | (~node3(s161))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13117, 13116])).
% 16.33/11.14 tff(13119,plain,
% 16.33/11.14 (~node3(s161)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13118, 399, 13115])).
% 16.33/11.14 tff(13120,plain,
% 16.33/11.14 (((~![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)))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13121,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s160, c_n1) | (~node1(s160)))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13122,plain,
% 16.33/11.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s160, c_n1) | (~node1(s160))),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13121, 13120])).
% 16.33/11.14 tff(13123,plain,
% 16.33/11.14 (~node1(s160)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13122, 421, 13068])).
% 16.33/11.14 tff(13124,plain,
% 16.33/11.14 (((~![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))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13125,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s159, s160)) | node18(s159, s160))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13126,plain,
% 16.33/11.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s159, s160)) | node18(s159, s160)),
% 16.33/11.14 inference(modus_ponens,[status(thm)],[13125, 13124])).
% 16.33/11.14 tff(13127,plain,
% 16.33/11.14 (node18(s159, s160)),
% 16.33/11.14 inference(unit_resolution,[status(thm)],[13126, 125, 13038])).
% 16.33/11.14 tff(13128,plain,
% 16.33/11.14 (((~![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(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))),
% 16.33/11.14 inference(rewrite,[status(thm)],[])).
% 16.33/11.14 tff(13129,plain,
% 16.33/11.14 ((~![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(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2))),
% 16.33/11.14 inference(quant_inst,[status(thm)],[])).
% 16.33/11.14 tff(13130,plain,
% 16.33/11.14 ((~![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(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2)),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13129, 13128])).
% 16.33/11.15 tff(13131,plain,
% 16.33/11.15 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | m_main_v_turn(s160, c_2)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13130, 760, 13127])).
% 16.33/11.15 tff(13132,plain,
% 16.33/11.15 (m_main_v_turn(s160, c_2)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13131, 12991, 13027])).
% 16.33/11.15 tff(13133,plain,
% 16.33/11.15 (((~![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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13134,plain,
% 16.33/11.15 ((~![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)))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13135,plain,
% 16.33/11.15 ((~![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))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13134, 13133])).
% 16.33/11.15 tff(13136,plain,
% 16.33/11.15 (~m_main_v_turn(s160, c_1)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13135, 156, 13132])).
% 16.33/11.15 tff(13137,plain,
% 16.33/11.15 (((~![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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13138,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s160, c_1) | (~node5(s160)))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13139,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s160, c_1) | (~node5(s160))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13138, 13137])).
% 16.33/11.15 tff(13140,plain,
% 16.33/11.15 (~node5(s160)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13139, 776, 13136])).
% 16.33/11.15 tff(13141,plain,
% 16.33/11.15 (((~![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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13142,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s160, c_n1) | (~node2(s160)))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13143,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s160, c_n1) | (~node2(s160))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13142, 13141])).
% 16.33/11.15 tff(13144,plain,
% 16.33/11.15 (~node2(s160)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13143, 787, 13068])).
% 16.33/11.15 tff(13145,plain,
% 16.33/11.15 (((~![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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13146,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s160, c_n1) | (~node3(s160)))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13147,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s160, c_n1) | (~node3(s160))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13146, 13145])).
% 16.33/11.15 tff(13148,plain,
% 16.33/11.15 (~node3(s160)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13147, 798, 13068])).
% 16.33/11.15 tff(13149,plain,
% 16.33/11.15 (((~![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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13150,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s160, c_n2) | (~node4(s160)))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13151,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s160, c_n2) | (~node4(s160))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13150, 13149])).
% 16.33/11.15 tff(13152,plain,
% 16.33/11.15 (~node4(s160)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13151, 388, 13088])).
% 16.33/11.15 tff(13153,plain,
% 16.33/11.15 (((~![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))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13154,plain,
% 16.33/11.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s160, s161)) | node7(s160, s161))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13155,plain,
% 16.33/11.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s160, s161)) | node7(s160, s161)),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13154, 13153])).
% 16.33/11.15 tff(13156,plain,
% 16.33/11.15 (node7(s160, s161)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13155, 206, 13099])).
% 16.33/11.15 tff(13157,plain,
% 16.33/11.15 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13158,plain,
% 16.33/11.15 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13159,plain,
% 16.33/11.15 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13158, 13157])).
% 16.33/11.15 tff(13160,plain,
% 16.33/11.15 (m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13159, 820, 13156])).
% 16.33/11.15 tff(13161,plain,
% 16.33/11.15 (node6(s160, s161)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13160, 13152, 13076, 13148, 13144, 13140, 13123])).
% 16.33/11.15 tff(13162,plain,
% 16.33/11.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13163,plain,
% 16.33/11.15 (((~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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13164,plain,
% 16.33/11.15 (((~![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))))),
% 16.33/11.15 inference(monotonicity,[status(thm)],[13163])).
% 16.33/11.15 tff(13165,plain,
% 16.33/11.15 (((~![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)))),
% 16.33/11.15 inference(transitivity,[status(thm)],[13164, 13162])).
% 16.33/11.15 tff(13166,plain,
% 16.33/11.15 ((~![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)))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13167,plain,
% 16.33/11.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13166, 13165])).
% 16.33/11.15 tff(13168,plain,
% 16.33/11.15 (~m_main_v_state1(s161, c_n1)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13167, 835, 13068, 13161])).
% 16.33/11.15 tff(13169,plain,
% 16.33/11.15 (((~![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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13170,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s161, c_n1) | (~node2(s161)))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13171,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s161, c_n1) | (~node2(s161))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13170, 13169])).
% 16.33/11.15 tff(13172,plain,
% 16.33/11.15 (~node2(s161)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13171, 787, 13168])).
% 16.33/11.15 tff(13173,plain,
% 16.33/11.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13174,plain,
% 16.33/11.15 (((~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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13175,plain,
% 16.33/11.15 (((~![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))))),
% 16.33/11.15 inference(monotonicity,[status(thm)],[13174])).
% 16.33/11.15 tff(13176,plain,
% 16.33/11.15 (((~![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)))),
% 16.33/11.15 inference(transitivity,[status(thm)],[13175, 13173])).
% 16.33/11.15 tff(13177,plain,
% 16.33/11.15 ((~![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))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13178,plain,
% 16.33/11.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13177, 13176])).
% 16.33/11.15 tff(13179,plain,
% 16.33/11.15 (m_main_v_state1(s161, c_t1)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13178, 856, 13064, 13161])).
% 16.33/11.15 tff(13180,plain,
% 16.33/11.15 (((~![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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13181,plain,
% 16.33/11.15 ((~![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)))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13182,plain,
% 16.33/11.15 ((~![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))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 16.33/11.15 tff(13183,plain,
% 16.33/11.15 (~m_main_v_state2(s161, c_t2)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13182, 77, 13111])).
% 16.33/11.15 tff(13184,plain,
% 16.33/11.15 (((~![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)))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13185,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s161, c_t2) | (~node1(s161)))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13186,plain,
% 16.33/11.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s161, c_t2) | (~node1(s161))),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13185, 13184])).
% 16.33/11.15 tff(13187,plain,
% 16.33/11.15 (~node1(s161)),
% 16.33/11.15 inference(unit_resolution,[status(thm)],[13186, 195, 13183])).
% 16.33/11.15 tff(13188,plain,
% 16.33/11.15 (succ(s161, s162) <=> succ(s161, s162)),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13189,axiom,(succ(s161, s162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound162')).
% 16.33/11.15 tff(13190,plain,
% 16.33/11.15 (succ(s161, s162)),
% 16.33/11.15 inference(modus_ponens,[status(thm)],[13189, 13188])).
% 16.33/11.15 tff(13191,plain,
% 16.33/11.15 (((~![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))),
% 16.33/11.15 inference(rewrite,[status(thm)],[])).
% 16.33/11.15 tff(13192,plain,
% 16.33/11.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))),
% 16.33/11.15 inference(quant_inst,[status(thm)],[])).
% 16.33/11.15 tff(13193,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162)),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13192, 13191])).
% 16.35/11.15 tff(13194,plain,
% 16.35/11.15 (trans(s161, s162)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13193, 13190, 32])).
% 16.35/11.15 tff(13195,plain,
% 16.35/11.15 (((~![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))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13196,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s161, s162)) | node7(s161, s162))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13197,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s161, s162)) | node7(s161, s162)),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13196, 13195])).
% 16.35/11.15 tff(13198,plain,
% 16.35/11.15 (node7(s161, s162)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13197, 206, 13194])).
% 16.35/11.15 tff(13199,plain,
% 16.35/11.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13200,plain,
% 16.35/11.15 (((~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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13201,plain,
% 16.35/11.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.35/11.15 inference(monotonicity,[status(thm)],[13200])).
% 16.35/11.15 tff(13202,plain,
% 16.35/11.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.35/11.15 inference(transitivity,[status(thm)],[13201, 13199])).
% 16.35/11.15 tff(13203,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13204,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 16.35/11.15 tff(13205,plain,
% 16.35/11.15 ((~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)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13204, 892, 13198])).
% 16.35/11.15 tff(13206,plain,
% 16.35/11.15 (m_main_v_state1(s162, c_c1)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13205, 13187, 13111, 13179, 13172, 13119])).
% 16.35/11.15 tff(13207,plain,
% 16.35/11.15 (((~![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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13208,plain,
% 16.35/11.15 ((~![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)))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13209,plain,
% 16.35/11.15 ((~![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))),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13208, 13207])).
% 16.35/11.15 tff(13210,plain,
% 16.35/11.15 (~m_main_v_state1(s162, c_t1)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13209, 539, 13206])).
% 16.35/11.15 tff(13211,plain,
% 16.35/11.15 (((~![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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13212,plain,
% 16.35/11.15 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s162, c_t1) | (~node5(s162)))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13213,plain,
% 16.35/11.15 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s162, c_t1) | (~node5(s162))),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 16.35/11.15 tff(13214,plain,
% 16.35/11.15 (~node5(s162)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13213, 550, 13210])).
% 16.35/11.15 tff(13215,plain,
% 16.35/11.15 (((~![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))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13216,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s161, s162)) | node14(s161, s162))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13217,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s161, s162)) | node14(s161, s162)),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 16.35/11.15 tff(13218,plain,
% 16.35/11.15 (node14(s161, s162)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13217, 46, 13194])).
% 16.35/11.15 tff(13219,plain,
% 16.35/11.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13220,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13221,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2)),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 16.35/11.15 tff(13222,plain,
% 16.35/11.15 ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state2(s162, c_t2)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13221, 922, 13218])).
% 16.35/11.15 tff(13223,plain,
% 16.35/11.15 (m_main_v_state2(s162, c_t2)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13222, 13179, 13111])).
% 16.35/11.15 tff(13224,plain,
% 16.35/11.15 (((~![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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13225,plain,
% 16.35/11.15 ((~![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)))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13226,plain,
% 16.35/11.15 ((~![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))),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13225, 13224])).
% 16.35/11.15 tff(13227,plain,
% 16.35/11.15 (~m_main_v_state2(s162, c_n2)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13226, 77, 13223])).
% 16.35/11.15 tff(13228,plain,
% 16.35/11.15 (((~![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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13229,plain,
% 16.35/11.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s162, c_n2) | (~node4(s162)))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13230,plain,
% 16.35/11.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s162, c_n2) | (~node4(s162))),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13229, 13228])).
% 16.35/11.15 tff(13231,plain,
% 16.35/11.15 (~node4(s162)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13230, 388, 13227])).
% 16.35/11.15 tff(13232,plain,
% 16.35/11.15 (((~![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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13233,plain,
% 16.35/11.15 ((~![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)))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13234,plain,
% 16.35/11.15 ((~![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))),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13233, 13232])).
% 16.35/11.15 tff(13235,plain,
% 16.35/11.15 (~m_main_v_state2(s162, c_c2)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13234, 260, 13223])).
% 16.35/11.15 tff(13236,plain,
% 16.35/11.15 (((~![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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13237,plain,
% 16.35/11.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s162, c_c2) | (~node3(s162)))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13238,plain,
% 16.35/11.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s162, c_c2) | (~node3(s162))),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13237, 13236])).
% 16.35/11.15 tff(13239,plain,
% 16.35/11.15 (~node3(s162)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13238, 399, 13235])).
% 16.35/11.15 tff(13240,plain,
% 16.35/11.15 (((~![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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13241,plain,
% 16.35/11.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s162, c_n2) | (~node2(s162)))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13242,plain,
% 16.35/11.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s162, c_n2) | (~node2(s162))),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13241, 13240])).
% 16.35/11.15 tff(13243,plain,
% 16.35/11.15 (~node2(s162)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13242, 410, 13227])).
% 16.35/11.15 tff(13244,plain,
% 16.35/11.15 (((~![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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13245,plain,
% 16.35/11.15 ((~![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)))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13246,plain,
% 16.35/11.15 ((~![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))),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13245, 13244])).
% 16.35/11.15 tff(13247,plain,
% 16.35/11.15 (~m_main_v_state1(s162, c_n1)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13246, 454, 13206])).
% 16.35/11.15 tff(13248,plain,
% 16.35/11.15 (((~![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)))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13249,plain,
% 16.35/11.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s162, c_n1) | (~node1(s162)))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13250,plain,
% 16.35/11.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s162, c_n1) | (~node1(s162))),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13249, 13248])).
% 16.35/11.15 tff(13251,plain,
% 16.35/11.15 (~node1(s162)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13250, 421, 13247])).
% 16.35/11.15 tff(13252,plain,
% 16.35/11.15 (succ(s162, s163) <=> succ(s162, s163)),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13253,axiom,(succ(s162, s163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound163')).
% 16.35/11.15 tff(13254,plain,
% 16.35/11.15 (succ(s162, s163)),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13253, 13252])).
% 16.35/11.15 tff(13255,plain,
% 16.35/11.15 (((~![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))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13256,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13257,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163)),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13256, 13255])).
% 16.35/11.15 tff(13258,plain,
% 16.35/11.15 (trans(s162, s163)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13257, 13254, 32])).
% 16.35/11.15 tff(13259,plain,
% 16.35/11.15 (((~![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))),
% 16.35/11.15 inference(rewrite,[status(thm)],[])).
% 16.35/11.15 tff(13260,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s162, s163)) | node7(s162, s163))),
% 16.35/11.15 inference(quant_inst,[status(thm)],[])).
% 16.35/11.15 tff(13261,plain,
% 16.35/11.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s162, s163)) | node7(s162, s163)),
% 16.35/11.15 inference(modus_ponens,[status(thm)],[13260, 13259])).
% 16.35/11.15 tff(13262,plain,
% 16.35/11.15 (node7(s162, s163)),
% 16.35/11.15 inference(unit_resolution,[status(thm)],[13261, 206, 13258])).
% 16.35/11.15 tff(13263,plain,
% 16.35/11.15 (((~![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(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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13264,plain,
% 16.35/11.16 (((~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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13265,plain,
% 16.35/11.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 16.35/11.16 inference(monotonicity,[status(thm)],[13264])).
% 16.35/11.16 tff(13266,plain,
% 16.35/11.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 16.35/11.16 inference(transitivity,[status(thm)],[13265, 13263])).
% 16.35/11.16 tff(13267,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13268,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13267, 13266])).
% 16.35/11.16 tff(13269,plain,
% 16.35/11.16 (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13268, 584, 13262])).
% 16.35/11.16 tff(13270,plain,
% 16.35/11.16 (m_main_v_state1(s163, c_n1)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13269, 13251, 13206, 13243, 13239, 13231, 13214])).
% 16.35/11.16 tff(13271,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13272,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s161, c_t2) | (~node15(s161)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13273,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s161, c_t2) | (~node15(s161))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13272, 13271])).
% 16.35/11.16 tff(13274,plain,
% 16.35/11.16 (~node15(s161)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13273, 103, 13183])).
% 16.35/11.16 tff(13275,plain,
% 16.35/11.16 (((~![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))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13276,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s161, s162)) | node18(s161, s162))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13277,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s161, s162)) | node18(s161, s162)),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13276, 13275])).
% 16.35/11.16 tff(13278,plain,
% 16.35/11.16 (node18(s161, s162)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13277, 125, 13194])).
% 16.35/11.16 tff(13279,plain,
% 16.35/11.16 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13280,plain,
% 16.35/11.16 (((~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))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13281,plain,
% 16.35/11.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 16.35/11.16 inference(monotonicity,[status(thm)],[13280])).
% 16.35/11.16 tff(13282,plain,
% 16.35/11.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.35/11.16 inference(transitivity,[status(thm)],[13281, 13279])).
% 16.35/11.16 tff(13283,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13284,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13283, 13282])).
% 16.35/11.16 tff(13285,plain,
% 16.35/11.16 (node15(s161) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13284, 992, 13278])).
% 16.35/11.16 tff(13286,plain,
% 16.35/11.16 (m_main_v_turn(s162, c_1)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13285, 13274, 13111, 13179])).
% 16.35/11.16 tff(13287,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13288,plain,
% 16.35/11.16 ((~![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)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13289,plain,
% 16.35/11.16 ((~![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))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 16.35/11.16 tff(13290,plain,
% 16.35/11.16 (~m_main_v_turn(s162, c_2)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13289, 156, 13286])).
% 16.35/11.16 tff(13291,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13292,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s162, c_2) | (~node12(s162)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13293,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s162, c_2) | (~node12(s162))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13292, 13291])).
% 16.35/11.16 tff(13294,plain,
% 16.35/11.16 (~node12(s162)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13293, 184, 13290])).
% 16.35/11.16 tff(13295,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13296,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s162, c_n2) | (~node8(s162)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13297,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s162, c_n2) | (~node8(s162))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13296, 13295])).
% 16.35/11.16 tff(13298,plain,
% 16.35/11.16 (~node8(s162)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13297, 271, 13227])).
% 16.35/11.16 tff(13299,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13300,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s162, c_n2) | (~node9(s162)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13301,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s162, c_n2) | (~node9(s162))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13300, 13299])).
% 16.35/11.16 tff(13302,plain,
% 16.35/11.16 (~node9(s162)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13301, 88, 13227])).
% 16.35/11.16 tff(13303,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13304,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s162, c_n2) | (~node10(s162)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13305,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s162, c_n2) | (~node10(s162))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13304, 13303])).
% 16.35/11.16 tff(13306,plain,
% 16.35/11.16 (~node10(s162)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13305, 249, 13227])).
% 16.35/11.16 tff(13307,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13308,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s162, c_n1) | (~node11(s162)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13309,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s162, c_n1) | (~node11(s162))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13308, 13307])).
% 16.35/11.16 tff(13310,plain,
% 16.35/11.16 (~node11(s162)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13309, 238, 13247])).
% 16.35/11.16 tff(13311,plain,
% 16.35/11.16 (((~![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))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13312,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s162, s163)) | node14(s162, s163))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13313,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s162, s163)) | node14(s162, s163)),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13312, 13311])).
% 16.35/11.16 tff(13314,plain,
% 16.35/11.16 (node14(s162, s163)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13313, 46, 13258])).
% 16.35/11.16 tff(13315,plain,
% 16.35/11.16 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13316,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13317,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13316, 13315])).
% 16.35/11.16 tff(13318,plain,
% 16.35/11.16 (m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13317, 296, 13314])).
% 16.35/11.16 tff(13319,plain,
% 16.35/11.16 (node13(s162, s163)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13318, 13310, 13235, 13306, 13302, 13298, 13294])).
% 16.35/11.16 tff(13320,plain,
% 16.35/11.16 (((~![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(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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13321,plain,
% 16.35/11.16 (((~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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13322,plain,
% 16.35/11.16 (((~![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))))),
% 16.35/11.16 inference(monotonicity,[status(thm)],[13321])).
% 16.35/11.16 tff(13323,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(transitivity,[status(thm)],[13322, 13320])).
% 16.35/11.16 tff(13324,plain,
% 16.35/11.16 ((~![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))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13325,plain,
% 16.35/11.16 ((~![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(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13324, 13323])).
% 16.35/11.16 tff(13326,plain,
% 16.35/11.16 (m_main_v_state2(s163, c_t2)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13325, 518, 13223, 13319])).
% 16.35/11.16 tff(13327,plain,
% 16.35/11.16 (succ(s163, s164) <=> succ(s163, s164)),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13328,axiom,(succ(s163, s164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound164')).
% 16.35/11.16 tff(13329,plain,
% 16.35/11.16 (succ(s163, s164)),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13328, 13327])).
% 16.35/11.16 tff(13330,plain,
% 16.35/11.16 (((~![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))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13331,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13332,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164)),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13331, 13330])).
% 16.35/11.16 tff(13333,plain,
% 16.35/11.16 (trans(s163, s164)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13332, 13329, 32])).
% 16.35/11.16 tff(13334,plain,
% 16.35/11.16 (((~![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))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13335,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s163, s164)) | node7(s163, s164))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13336,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s163, s164)) | node7(s163, s164)),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13335, 13334])).
% 16.35/11.16 tff(13337,plain,
% 16.35/11.16 (node7(s163, s164)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13336, 206, 13333])).
% 16.35/11.16 tff(13338,plain,
% 16.35/11.16 (((~![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(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))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13339,plain,
% 16.35/11.16 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13340,plain,
% 16.35/11.16 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1)),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13339, 13338])).
% 16.35/11.16 tff(13341,plain,
% 16.35/11.16 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | m_main_v_state1(s164, c_t1)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13340, 651, 13337])).
% 16.35/11.16 tff(13342,plain,
% 16.35/11.16 (m_main_v_state1(s164, c_t1)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13341, 13326, 13270])).
% 16.35/11.16 tff(13343,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13344,plain,
% 16.35/11.16 ((~![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)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13345,plain,
% 16.35/11.16 ((~![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))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 16.35/11.16 tff(13346,plain,
% 16.35/11.16 (~m_main_v_state1(s164, c_n1)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13345, 10, 13342])).
% 16.35/11.16 tff(13347,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13348,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s164, c_n1) | (~node1(s164)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13349,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s164, c_n1) | (~node1(s164))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13348, 13347])).
% 16.35/11.16 tff(13350,plain,
% 16.35/11.16 (~node1(s164)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13349, 421, 13346])).
% 16.35/11.16 tff(13351,plain,
% 16.35/11.16 (((~![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))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13352,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s163, s164)) | node18(s163, s164))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13353,plain,
% 16.35/11.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s163, s164)) | node18(s163, s164)),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13352, 13351])).
% 16.35/11.16 tff(13354,plain,
% 16.35/11.16 (node18(s163, s164)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13353, 125, 13333])).
% 16.35/11.16 tff(13355,plain,
% 16.35/11.16 (((~![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(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))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13356,plain,
% 16.35/11.16 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13357,plain,
% 16.35/11.16 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2)),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13356, 13355])).
% 16.35/11.16 tff(13358,plain,
% 16.35/11.16 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | m_main_v_turn(s164, c_2)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13357, 760, 13354])).
% 16.35/11.16 tff(13359,plain,
% 16.35/11.16 (m_main_v_turn(s164, c_2)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13358, 13326, 13270])).
% 16.35/11.16 tff(13360,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13361,plain,
% 16.35/11.16 ((~![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)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13362,plain,
% 16.35/11.16 ((~![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))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13361, 13360])).
% 16.35/11.16 tff(13363,plain,
% 16.35/11.16 (~m_main_v_turn(s164, c_1)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13362, 156, 13359])).
% 16.35/11.16 tff(13364,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13365,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s164, c_1) | (~node5(s164)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13366,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s164, c_1) | (~node5(s164))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13365, 13364])).
% 16.35/11.16 tff(13367,plain,
% 16.35/11.16 (~node5(s164)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13366, 776, 13363])).
% 16.35/11.16 tff(13368,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13369,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s164, c_n1) | (~node2(s164)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13370,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s164, c_n1) | (~node2(s164))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13369, 13368])).
% 16.35/11.16 tff(13371,plain,
% 16.35/11.16 (~node2(s164)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13370, 787, 13346])).
% 16.35/11.16 tff(13372,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13373,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s164, c_n1) | (~node3(s164)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13374,plain,
% 16.35/11.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s164, c_n1) | (~node3(s164))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13373, 13372])).
% 16.35/11.16 tff(13375,plain,
% 16.35/11.16 (~node3(s164)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13374, 798, 13346])).
% 16.35/11.16 tff(13376,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13377,plain,
% 16.35/11.16 ((~![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)))),
% 16.35/11.16 inference(quant_inst,[status(thm)],[])).
% 16.35/11.16 tff(13378,plain,
% 16.35/11.16 ((~![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))),
% 16.35/11.16 inference(modus_ponens,[status(thm)],[13377, 13376])).
% 16.35/11.16 tff(13379,plain,
% 16.35/11.16 (~m_main_v_state1(s164, c_c1)),
% 16.35/11.16 inference(unit_resolution,[status(thm)],[13378, 539, 13342])).
% 16.35/11.16 tff(13380,plain,
% 16.35/11.16 (((~![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(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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13381,plain,
% 16.35/11.16 (((~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)))),
% 16.35/11.16 inference(rewrite,[status(thm)],[])).
% 16.35/11.16 tff(13382,plain,
% 16.35/11.16 (((~![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))))),
% 16.35/11.16 inference(monotonicity,[status(thm)],[13381])).
% 16.35/11.16 tff(13383,plain,
% 16.35/11.16 (((~![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)))),
% 16.35/11.17 inference(transitivity,[status(thm)],[13382, 13380])).
% 16.35/11.17 tff(13384,plain,
% 16.35/11.17 ((~![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)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13385,plain,
% 16.35/11.17 ((~![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(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13384, 13383])).
% 16.35/11.17 tff(13386,plain,
% 16.35/11.17 (~m_main_v_state2(s163, c_n2)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13385, 311, 13227, 13319])).
% 16.35/11.17 tff(13387,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13388,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s163, c_n2) | (~node9(s163)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13389,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s163, c_n2) | (~node9(s163))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13388, 13387])).
% 16.35/11.17 tff(13390,plain,
% 16.35/11.17 (~node9(s163)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13389, 88, 13386])).
% 16.35/11.17 tff(13391,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13392,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s163, c_n2) | (~node10(s163)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13393,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s163, c_n2) | (~node10(s163))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13392, 13391])).
% 16.35/11.17 tff(13394,plain,
% 16.35/11.17 (~node10(s163)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13393, 249, 13386])).
% 16.35/11.17 tff(13395,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13396,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s163, c_n2) | (~node8(s163)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13397,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s163, c_n2) | (~node8(s163))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13396, 13395])).
% 16.35/11.17 tff(13398,plain,
% 16.35/11.17 (~node8(s163)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13397, 271, 13386])).
% 16.35/11.17 tff(13399,plain,
% 16.35/11.17 (((~![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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13400,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s163, s164)) | node14(s163, s164))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13401,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s163, s164)) | node14(s163, s164)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13400, 13399])).
% 16.35/11.17 tff(13402,plain,
% 16.35/11.17 (node14(s163, s164)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13401, 46, 13333])).
% 16.35/11.17 tff(13403,plain,
% 16.35/11.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13404,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13405,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13404, 13403])).
% 16.35/11.17 tff(13406,plain,
% 16.35/11.17 ((~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)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13405, 617, 13402])).
% 16.35/11.17 tff(13407,plain,
% 16.35/11.17 (m_main_v_state2(s164, c_c2)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13406, 13398, 13270, 13326, 13394, 13390])).
% 16.35/11.17 tff(13408,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13409,plain,
% 16.35/11.17 ((~![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)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13410,plain,
% 16.35/11.17 ((~![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))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13409, 13408])).
% 16.35/11.17 tff(13411,plain,
% 16.35/11.17 (~m_main_v_state2(s164, c_n2)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13410, 697, 13407])).
% 16.35/11.17 tff(13412,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13413,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s164, c_n2) | (~node4(s164)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13414,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s164, c_n2) | (~node4(s164))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13413, 13412])).
% 16.35/11.17 tff(13415,plain,
% 16.35/11.17 (~node4(s164)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13414, 388, 13411])).
% 16.35/11.17 tff(13416,plain,
% 16.35/11.17 (succ(s164, s165) <=> succ(s164, s165)),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13417,axiom,(succ(s164, s165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound165')).
% 16.35/11.17 tff(13418,plain,
% 16.35/11.17 (succ(s164, s165)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13417, 13416])).
% 16.35/11.17 tff(13419,plain,
% 16.35/11.17 (((~![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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13420,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13421,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13420, 13419])).
% 16.35/11.17 tff(13422,plain,
% 16.35/11.17 (trans(s164, s165)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13421, 13418, 32])).
% 16.35/11.17 tff(13423,plain,
% 16.35/11.17 (((~![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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13424,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s164, s165)) | node7(s164, s165))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13425,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s164, s165)) | node7(s164, s165)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13424, 13423])).
% 16.35/11.17 tff(13426,plain,
% 16.35/11.17 (node7(s164, s165)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13425, 206, 13422])).
% 16.35/11.17 tff(13427,plain,
% 16.35/11.17 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13428,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13429,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13428, 13427])).
% 16.35/11.17 tff(13430,plain,
% 16.35/11.17 (m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13429, 820, 13426])).
% 16.35/11.17 tff(13431,plain,
% 16.35/11.17 (node6(s164, s165)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13430, 13415, 13379, 13375, 13371, 13367, 13350])).
% 16.35/11.17 tff(13432,plain,
% 16.35/11.17 (((~![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(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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13433,plain,
% 16.35/11.17 (((~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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13434,plain,
% 16.35/11.17 (((~![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))))),
% 16.35/11.17 inference(monotonicity,[status(thm)],[13433])).
% 16.35/11.17 tff(13435,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(transitivity,[status(thm)],[13434, 13432])).
% 16.35/11.17 tff(13436,plain,
% 16.35/11.17 ((~![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))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13437,plain,
% 16.35/11.17 ((~![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(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13436, 13435])).
% 16.35/11.17 tff(13438,plain,
% 16.35/11.17 (m_main_v_state1(s165, c_t1)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13437, 856, 13342, 13431])).
% 16.35/11.17 tff(13439,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13440,plain,
% 16.35/11.17 ((~![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)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13441,plain,
% 16.35/11.17 ((~![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))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13440, 13439])).
% 16.35/11.17 tff(13442,plain,
% 16.35/11.17 (~m_main_v_state2(s164, c_t2)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13441, 260, 13407])).
% 16.35/11.17 tff(13443,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13444,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s164, c_t2) | (~node12(s164)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13445,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s164, c_t2) | (~node12(s164))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13444, 13443])).
% 16.35/11.17 tff(13446,plain,
% 16.35/11.17 (~node12(s164)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13445, 633, 13442])).
% 16.35/11.17 tff(13447,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13448,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s164, c_n1) | (~node11(s164)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13449,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s164, c_n1) | (~node11(s164))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13448, 13447])).
% 16.35/11.17 tff(13450,plain,
% 16.35/11.17 (~node11(s164)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13449, 238, 13346])).
% 16.35/11.17 tff(13451,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13452,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s164, c_c1) | (~node10(s164)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13453,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s164, c_c1) | (~node10(s164))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13452, 13451])).
% 16.35/11.17 tff(13454,plain,
% 16.35/11.17 (~node10(s164)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13453, 675, 13379])).
% 16.35/11.17 tff(13455,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13456,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s164, c_n1) | (~node9(s164)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13457,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s164, c_n1) | (~node9(s164))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13456, 13455])).
% 16.35/11.17 tff(13458,plain,
% 16.35/11.17 (~node9(s164)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13457, 686, 13346])).
% 16.35/11.17 tff(13459,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13460,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s164, c_n2) | (~node8(s164)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13461,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s164, c_n2) | (~node8(s164))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13460, 13459])).
% 16.35/11.17 tff(13462,plain,
% 16.35/11.17 (~node8(s164)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13461, 271, 13411])).
% 16.35/11.17 tff(13463,plain,
% 16.35/11.17 (((~![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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13464,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s164, s165)) | node14(s164, s165))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13465,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s164, s165)) | node14(s164, s165)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13464, 13463])).
% 16.35/11.17 tff(13466,plain,
% 16.35/11.17 (node14(s164, s165)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13465, 46, 13422])).
% 16.35/11.17 tff(13467,plain,
% 16.35/11.17 (((~![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(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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13468,plain,
% 16.35/11.17 (((~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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13469,plain,
% 16.35/11.17 (((~![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(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))))),
% 16.35/11.17 inference(monotonicity,[status(thm)],[13468])).
% 16.35/11.17 tff(13470,plain,
% 16.35/11.17 (((~![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(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)))),
% 16.35/11.17 inference(transitivity,[status(thm)],[13469, 13467])).
% 16.35/11.17 tff(13471,plain,
% 16.35/11.17 ((~![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(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13472,plain,
% 16.35/11.17 ((~![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(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13471, 13470])).
% 16.35/11.17 tff(13473,plain,
% 16.35/11.17 (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~m_main_v_state2(s164, c_c2))),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13472, 726, 13466])).
% 16.35/11.17 tff(13474,plain,
% 16.35/11.17 (m_main_v_state2(s165, c_n2)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13473, 13462, 13407, 13458, 13454, 13450, 13446])).
% 16.35/11.17 tff(13475,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13476,plain,
% 16.35/11.17 ((~![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)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13477,plain,
% 16.35/11.17 ((~![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))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13476, 13475])).
% 16.35/11.17 tff(13478,plain,
% 16.35/11.17 (~m_main_v_state2(s165, c_t2)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13477, 77, 13474])).
% 16.35/11.17 tff(13479,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13480,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s165, c_t2) | (~node15(s165)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13481,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s165, c_t2) | (~node15(s165))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13480, 13479])).
% 16.35/11.17 tff(13482,plain,
% 16.35/11.17 (~node15(s165)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13481, 103, 13478])).
% 16.35/11.17 tff(13483,plain,
% 16.35/11.17 (succ(s165, s166) <=> succ(s165, s166)),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13484,axiom,(succ(s165, s166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound166')).
% 16.35/11.17 tff(13485,plain,
% 16.35/11.17 (succ(s165, s166)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13484, 13483])).
% 16.35/11.17 tff(13486,plain,
% 16.35/11.17 (((~![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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13487,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13488,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13487, 13486])).
% 16.35/11.17 tff(13489,plain,
% 16.35/11.17 (trans(s165, s166)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13488, 13485, 32])).
% 16.35/11.17 tff(13490,plain,
% 16.35/11.17 (((~![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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13491,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s165, s166)) | node18(s165, s166))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13492,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s165, s166)) | node18(s165, s166)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13491, 13490])).
% 16.35/11.17 tff(13493,plain,
% 16.35/11.17 (node18(s165, s166)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13492, 125, 13489])).
% 16.35/11.17 tff(13494,plain,
% 16.35/11.17 (((~![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(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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13495,plain,
% 16.35/11.17 (((~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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13496,plain,
% 16.35/11.17 (((~![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(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)))),
% 16.35/11.17 inference(monotonicity,[status(thm)],[13495])).
% 16.35/11.17 tff(13497,plain,
% 16.35/11.17 (((~![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(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))),
% 16.35/11.17 inference(transitivity,[status(thm)],[13496, 13494])).
% 16.35/11.17 tff(13498,plain,
% 16.35/11.17 ((~![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(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13499,plain,
% 16.35/11.17 ((~![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(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)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13498, 13497])).
% 16.35/11.17 tff(13500,plain,
% 16.35/11.17 (node15(s165) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13499, 992, 13493])).
% 16.35/11.17 tff(13501,plain,
% 16.35/11.17 (m_main_v_turn(s166, c_1)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13500, 13482, 13474, 13438])).
% 16.35/11.17 tff(13502,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13503,plain,
% 16.35/11.17 ((~![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)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13504,plain,
% 16.35/11.17 ((~![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))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13503, 13502])).
% 16.35/11.17 tff(13505,plain,
% 16.35/11.17 (~m_main_v_turn(s166, c_2)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13504, 156, 13501])).
% 16.35/11.17 tff(13506,plain,
% 16.35/11.17 (((~![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)))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13507,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s166, c_2) | (~node12(s166)))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13508,plain,
% 16.35/11.17 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s166, c_2) | (~node12(s166))),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 16.35/11.17 tff(13509,plain,
% 16.35/11.17 (~node12(s166)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13508, 184, 13505])).
% 16.35/11.17 tff(13510,plain,
% 16.35/11.17 (((~![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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13511,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s165, s166)) | node14(s165, s166))),
% 16.35/11.17 inference(quant_inst,[status(thm)],[])).
% 16.35/11.17 tff(13512,plain,
% 16.35/11.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s165, s166)) | node14(s165, s166)),
% 16.35/11.17 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 16.35/11.17 tff(13513,plain,
% 16.35/11.17 (node14(s165, s166)),
% 16.35/11.17 inference(unit_resolution,[status(thm)],[13512, 46, 13489])).
% 16.35/11.17 tff(13514,plain,
% 16.35/11.17 (((~![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(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))),
% 16.35/11.17 inference(rewrite,[status(thm)],[])).
% 16.35/11.17 tff(13515,plain,
% 16.35/11.17 ((~![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(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13516,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13515, 13514])).
% 16.35/11.18 tff(13517,plain,
% 16.35/11.18 ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state2(s166, c_t2)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13516, 922, 13513])).
% 16.35/11.18 tff(13518,plain,
% 16.35/11.18 (m_main_v_state2(s166, c_t2)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13517, 13438, 13474])).
% 16.35/11.18 tff(13519,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13520,plain,
% 16.35/11.18 ((~![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)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13521,plain,
% 16.35/11.18 ((~![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))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13520, 13519])).
% 16.35/11.18 tff(13522,plain,
% 16.35/11.18 (~m_main_v_state2(s166, c_n2)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13521, 77, 13518])).
% 16.35/11.18 tff(13523,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13524,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s166, c_n2) | (~node8(s166)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13525,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s166, c_n2) | (~node8(s166))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13524, 13523])).
% 16.35/11.18 tff(13526,plain,
% 16.35/11.18 (~node8(s166)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13525, 271, 13522])).
% 16.35/11.18 tff(13527,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13528,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s166, c_n2) | (~node9(s166)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13529,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s166, c_n2) | (~node9(s166))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13528, 13527])).
% 16.35/11.18 tff(13530,plain,
% 16.35/11.18 (~node9(s166)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13529, 88, 13522])).
% 16.35/11.18 tff(13531,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13532,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s166, c_n2) | (~node10(s166)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13533,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s166, c_n2) | (~node10(s166))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13532, 13531])).
% 16.35/11.18 tff(13534,plain,
% 16.35/11.18 (~node10(s166)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13533, 249, 13522])).
% 16.35/11.18 tff(13535,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13536,plain,
% 16.35/11.18 ((~![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)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13537,plain,
% 16.35/11.18 ((~![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))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13536, 13535])).
% 16.35/11.18 tff(13538,plain,
% 16.35/11.18 (~m_main_v_state2(s166, c_c2)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13537, 260, 13518])).
% 16.35/11.18 tff(13539,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13540,plain,
% 16.35/11.18 ((~![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)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13541,plain,
% 16.35/11.18 ((~![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))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13540, 13539])).
% 16.35/11.18 tff(13542,plain,
% 16.35/11.18 (~m_main_v_state2(s165, c_c2)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13541, 697, 13474])).
% 16.35/11.18 tff(13543,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13544,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s165, c_c2) | (~node3(s165)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13545,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s165, c_c2) | (~node3(s165))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13544, 13543])).
% 16.35/11.18 tff(13546,plain,
% 16.35/11.18 (~node3(s165)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13545, 399, 13542])).
% 16.35/11.18 tff(13547,plain,
% 16.35/11.18 (((~![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(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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13548,plain,
% 16.35/11.18 (((~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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13549,plain,
% 16.35/11.18 (((~![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))))),
% 16.35/11.18 inference(monotonicity,[status(thm)],[13548])).
% 16.35/11.18 tff(13550,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(transitivity,[status(thm)],[13549, 13547])).
% 16.35/11.18 tff(13551,plain,
% 16.35/11.18 ((~![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)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13552,plain,
% 16.35/11.18 ((~![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(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13551, 13550])).
% 16.35/11.18 tff(13553,plain,
% 16.35/11.18 (~m_main_v_state1(s165, c_n1)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13552, 835, 13346, 13431])).
% 16.35/11.18 tff(13554,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13555,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s165, c_n1) | (~node2(s165)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13556,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s165, c_n1) | (~node2(s165))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13555, 13554])).
% 16.35/11.18 tff(13557,plain,
% 16.35/11.18 (~node2(s165)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13556, 787, 13553])).
% 16.35/11.18 tff(13558,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13559,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s165, c_t2) | (~node1(s165)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13560,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s165, c_t2) | (~node1(s165))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13559, 13558])).
% 16.35/11.18 tff(13561,plain,
% 16.35/11.18 (~node1(s165)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13560, 195, 13478])).
% 16.35/11.18 tff(13562,plain,
% 16.35/11.18 (((~![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))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13563,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s165, s166)) | node7(s165, s166))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13564,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s165, s166)) | node7(s165, s166)),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13563, 13562])).
% 16.35/11.18 tff(13565,plain,
% 16.35/11.18 (node7(s165, s166)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13564, 206, 13489])).
% 16.35/11.18 tff(13566,plain,
% 16.35/11.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13567,plain,
% 16.35/11.18 (((~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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13568,plain,
% 16.35/11.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 16.35/11.18 inference(monotonicity,[status(thm)],[13567])).
% 16.35/11.18 tff(13569,plain,
% 16.35/11.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.35/11.18 inference(transitivity,[status(thm)],[13568, 13566])).
% 16.35/11.18 tff(13570,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13571,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13570, 13569])).
% 16.35/11.18 tff(13572,plain,
% 16.35/11.18 ((~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)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13571, 892, 13565])).
% 16.35/11.18 tff(13573,plain,
% 16.35/11.18 (m_main_v_state1(s166, c_c1)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13572, 13561, 13474, 13438, 13557, 13546])).
% 16.35/11.18 tff(13574,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13575,plain,
% 16.35/11.18 ((~![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)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13576,plain,
% 16.35/11.18 ((~![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))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13575, 13574])).
% 16.35/11.18 tff(13577,plain,
% 16.35/11.18 (~m_main_v_state1(s166, c_n1)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13576, 454, 13573])).
% 16.35/11.18 tff(13578,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13579,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s166, c_n1) | (~node11(s166)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13580,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s166, c_n1) | (~node11(s166))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13579, 13578])).
% 16.35/11.18 tff(13581,plain,
% 16.35/11.18 (~node11(s166)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13580, 238, 13577])).
% 16.35/11.18 tff(13582,plain,
% 16.35/11.18 (succ(s166, s167) <=> succ(s166, s167)),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13583,axiom,(succ(s166, s167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound167')).
% 16.35/11.18 tff(13584,plain,
% 16.35/11.18 (succ(s166, s167)),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13583, 13582])).
% 16.35/11.18 tff(13585,plain,
% 16.35/11.18 (((~![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))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13586,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13587,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167)),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13586, 13585])).
% 16.35/11.18 tff(13588,plain,
% 16.35/11.18 (trans(s166, s167)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13587, 13584, 32])).
% 16.35/11.18 tff(13589,plain,
% 16.35/11.18 (((~![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))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13590,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s166, s167)) | node14(s166, s167))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13591,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s166, s167)) | node14(s166, s167)),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13590, 13589])).
% 16.35/11.18 tff(13592,plain,
% 16.35/11.18 (node14(s166, s167)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13591, 46, 13588])).
% 16.35/11.18 tff(13593,plain,
% 16.35/11.18 (((~![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(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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13594,plain,
% 16.35/11.18 ((~![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(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13595,plain,
% 16.35/11.18 ((~![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(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13594, 13593])).
% 16.35/11.18 tff(13596,plain,
% 16.35/11.18 (m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13595, 296, 13592])).
% 16.35/11.18 tff(13597,plain,
% 16.35/11.18 (node13(s166, s167)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13596, 13581, 13538, 13534, 13530, 13526, 13509])).
% 16.35/11.18 tff(13598,plain,
% 16.35/11.18 (((~![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(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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13599,plain,
% 16.35/11.18 (((~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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13600,plain,
% 16.35/11.18 (((~![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))))),
% 16.35/11.18 inference(monotonicity,[status(thm)],[13599])).
% 16.35/11.18 tff(13601,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(transitivity,[status(thm)],[13600, 13598])).
% 16.35/11.18 tff(13602,plain,
% 16.35/11.18 ((~![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)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13603,plain,
% 16.35/11.18 ((~![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(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13602, 13601])).
% 16.35/11.18 tff(13604,plain,
% 16.35/11.18 (~m_main_v_state2(s167, c_n2)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13603, 311, 13522, 13597])).
% 16.35/11.18 tff(13605,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13606,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s167, c_n2) | (~node9(s167)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13607,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s167, c_n2) | (~node9(s167))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13606, 13605])).
% 16.35/11.18 tff(13608,plain,
% 16.35/11.18 (~node9(s167)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13607, 88, 13604])).
% 16.35/11.18 tff(13609,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13610,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s167, c_n2) | (~node10(s167)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13611,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s167, c_n2) | (~node10(s167))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13610, 13609])).
% 16.35/11.18 tff(13612,plain,
% 16.35/11.18 (~node10(s167)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13611, 249, 13604])).
% 16.35/11.18 tff(13613,plain,
% 16.35/11.18 (((~![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(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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13614,plain,
% 16.35/11.18 (((~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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13615,plain,
% 16.35/11.18 (((~![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))))),
% 16.35/11.18 inference(monotonicity,[status(thm)],[13614])).
% 16.35/11.18 tff(13616,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(transitivity,[status(thm)],[13615, 13613])).
% 16.35/11.18 tff(13617,plain,
% 16.35/11.18 ((~![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))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13618,plain,
% 16.35/11.18 ((~![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(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13617, 13616])).
% 16.35/11.18 tff(13619,plain,
% 16.35/11.18 (m_main_v_state2(s167, c_t2)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13618, 518, 13518, 13597])).
% 16.35/11.18 tff(13620,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13621,plain,
% 16.35/11.18 ((~![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)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13622,plain,
% 16.35/11.18 ((~![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))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13621, 13620])).
% 16.35/11.18 tff(13623,plain,
% 16.35/11.18 (~m_main_v_state1(s166, c_t1)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13622, 539, 13573])).
% 16.35/11.18 tff(13624,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13625,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s166, c_t1) | (~node5(s166)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13626,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s166, c_t1) | (~node5(s166))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13625, 13624])).
% 16.35/11.18 tff(13627,plain,
% 16.35/11.18 (~node5(s166)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13626, 550, 13623])).
% 16.35/11.18 tff(13628,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13629,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s166, c_n2) | (~node4(s166)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13630,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s166, c_n2) | (~node4(s166))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13629, 13628])).
% 16.35/11.18 tff(13631,plain,
% 16.35/11.18 (~node4(s166)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13630, 388, 13522])).
% 16.35/11.18 tff(13632,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13633,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s166, c_c2) | (~node3(s166)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13634,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s166, c_c2) | (~node3(s166))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13633, 13632])).
% 16.35/11.18 tff(13635,plain,
% 16.35/11.18 (~node3(s166)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13634, 399, 13538])).
% 16.35/11.18 tff(13636,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13637,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s166, c_n2) | (~node2(s166)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13638,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s166, c_n2) | (~node2(s166))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13637, 13636])).
% 16.35/11.18 tff(13639,plain,
% 16.35/11.18 (~node2(s166)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13638, 410, 13522])).
% 16.35/11.18 tff(13640,plain,
% 16.35/11.18 (((~![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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13641,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s166, c_n1) | (~node1(s166)))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13642,plain,
% 16.35/11.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s166, c_n1) | (~node1(s166))),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13641, 13640])).
% 16.35/11.18 tff(13643,plain,
% 16.35/11.18 (~node1(s166)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13642, 421, 13577])).
% 16.35/11.18 tff(13644,plain,
% 16.35/11.18 (((~![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))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13645,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s166, s167)) | node7(s166, s167))),
% 16.35/11.18 inference(quant_inst,[status(thm)],[])).
% 16.35/11.18 tff(13646,plain,
% 16.35/11.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s166, s167)) | node7(s166, s167)),
% 16.35/11.18 inference(modus_ponens,[status(thm)],[13645, 13644])).
% 16.35/11.18 tff(13647,plain,
% 16.35/11.18 (node7(s166, s167)),
% 16.35/11.18 inference(unit_resolution,[status(thm)],[13646, 206, 13588])).
% 16.35/11.18 tff(13648,plain,
% 16.35/11.18 (((~![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(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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13649,plain,
% 16.35/11.18 (((~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)))),
% 16.35/11.18 inference(rewrite,[status(thm)],[])).
% 16.35/11.18 tff(13650,plain,
% 16.35/11.18 (((~![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(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))))),
% 16.35/11.19 inference(monotonicity,[status(thm)],[13649])).
% 16.35/11.19 tff(13651,plain,
% 16.35/11.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 16.35/11.19 inference(transitivity,[status(thm)],[13650, 13648])).
% 16.35/11.19 tff(13652,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13653,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13652, 13651])).
% 16.35/11.19 tff(13654,plain,
% 16.35/11.19 (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13653, 584, 13647])).
% 16.35/11.19 tff(13655,plain,
% 16.35/11.19 (m_main_v_state1(s167, c_n1)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13654, 13643, 13573, 13639, 13635, 13631, 13627])).
% 16.35/11.19 tff(13656,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13657,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s167, c_n2) | (~node8(s167)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13658,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s167, c_n2) | (~node8(s167))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 16.35/11.19 tff(13659,plain,
% 16.35/11.19 (~node8(s167)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13658, 271, 13604])).
% 16.35/11.19 tff(13660,plain,
% 16.35/11.19 (succ(s167, s168) <=> succ(s167, s168)),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13661,axiom,(succ(s167, s168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound168')).
% 16.35/11.19 tff(13662,plain,
% 16.35/11.19 (succ(s167, s168)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13661, 13660])).
% 16.35/11.19 tff(13663,plain,
% 16.35/11.19 (((~![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))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13664,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13665,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13664, 13663])).
% 16.35/11.19 tff(13666,plain,
% 16.35/11.19 (trans(s167, s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13665, 13662, 32])).
% 16.35/11.19 tff(13667,plain,
% 16.35/11.19 (((~![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))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13668,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s167, s168)) | node14(s167, s168))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13669,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s167, s168)) | node14(s167, s168)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13668, 13667])).
% 16.35/11.19 tff(13670,plain,
% 16.35/11.19 (node14(s167, s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13669, 46, 13666])).
% 16.35/11.19 tff(13671,plain,
% 16.35/11.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13672,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13673,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13672, 13671])).
% 16.35/11.19 tff(13674,plain,
% 16.35/11.19 ((~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)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13673, 617, 13670])).
% 16.35/11.19 tff(13675,plain,
% 16.35/11.19 (m_main_v_state2(s168, c_c2)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13674, 13659, 13655, 13619, 13612, 13608])).
% 16.35/11.19 tff(13676,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13677,plain,
% 16.35/11.19 ((~![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)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13678,plain,
% 16.35/11.19 ((~![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))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13677, 13676])).
% 16.35/11.19 tff(13679,plain,
% 16.35/11.19 (~m_main_v_state2(s168, c_t2)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13678, 260, 13675])).
% 16.35/11.19 tff(13680,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13681,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s168, c_t2) | (~node12(s168)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13682,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s168, c_t2) | (~node12(s168))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13681, 13680])).
% 16.35/11.19 tff(13683,plain,
% 16.35/11.19 (~node12(s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13682, 633, 13679])).
% 16.35/11.19 tff(13684,plain,
% 16.35/11.19 (((~![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))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13685,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s167, s168)) | node7(s167, s168))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13686,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s167, s168)) | node7(s167, s168)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13685, 13684])).
% 16.35/11.19 tff(13687,plain,
% 16.35/11.19 (node7(s167, s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13686, 206, 13666])).
% 16.35/11.19 tff(13688,plain,
% 16.35/11.19 (((~![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(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))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13689,plain,
% 16.35/11.19 ((~![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(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13690,plain,
% 16.35/11.19 ((~![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(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13689, 13688])).
% 16.35/11.19 tff(13691,plain,
% 16.35/11.19 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | m_main_v_state1(s168, c_t1)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13690, 651, 13687])).
% 16.35/11.19 tff(13692,plain,
% 16.35/11.19 (m_main_v_state1(s168, c_t1)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13691, 13619, 13655])).
% 16.35/11.19 tff(13693,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13694,plain,
% 16.35/11.19 ((~![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)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13695,plain,
% 16.35/11.19 ((~![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))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13694, 13693])).
% 16.35/11.19 tff(13696,plain,
% 16.35/11.19 (~m_main_v_state1(s168, c_n1)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13695, 10, 13692])).
% 16.35/11.19 tff(13697,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13698,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s168, c_n1) | (~node11(s168)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13699,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s168, c_n1) | (~node11(s168))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 16.35/11.19 tff(13700,plain,
% 16.35/11.19 (~node11(s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13699, 238, 13696])).
% 16.35/11.19 tff(13701,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13702,plain,
% 16.35/11.19 ((~![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)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13703,plain,
% 16.35/11.19 ((~![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))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 16.35/11.19 tff(13704,plain,
% 16.35/11.19 (~m_main_v_state1(s168, c_c1)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13703, 539, 13692])).
% 16.35/11.19 tff(13705,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13706,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s168, c_c1) | (~node10(s168)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13707,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s168, c_c1) | (~node10(s168))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13706, 13705])).
% 16.35/11.19 tff(13708,plain,
% 16.35/11.19 (~node10(s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13707, 675, 13704])).
% 16.35/11.19 tff(13709,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13710,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s168, c_n1) | (~node9(s168)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13711,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s168, c_n1) | (~node9(s168))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 16.35/11.19 tff(13712,plain,
% 16.35/11.19 (~node9(s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13711, 686, 13696])).
% 16.35/11.19 tff(13713,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13714,plain,
% 16.35/11.19 ((~![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)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13715,plain,
% 16.35/11.19 ((~![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))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13714, 13713])).
% 16.35/11.19 tff(13716,plain,
% 16.35/11.19 (~m_main_v_state2(s168, c_n2)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13715, 697, 13675])).
% 16.35/11.19 tff(13717,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13718,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s168, c_n2) | (~node8(s168)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13719,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s168, c_n2) | (~node8(s168))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13718, 13717])).
% 16.35/11.19 tff(13720,plain,
% 16.35/11.19 (~node8(s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13719, 271, 13716])).
% 16.35/11.19 tff(13721,plain,
% 16.35/11.19 (succ(s168, s169) <=> succ(s168, s169)),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13722,axiom,(succ(s168, s169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound169')).
% 16.35/11.19 tff(13723,plain,
% 16.35/11.19 (succ(s168, s169)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13722, 13721])).
% 16.35/11.19 tff(13724,plain,
% 16.35/11.19 (((~![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))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13725,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13726,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13725, 13724])).
% 16.35/11.19 tff(13727,plain,
% 16.35/11.19 (trans(s168, s169)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13726, 13723, 32])).
% 16.35/11.19 tff(13728,plain,
% 16.35/11.19 (((~![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))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13729,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s168, s169)) | node14(s168, s169))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13730,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s168, s169)) | node14(s168, s169)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13729, 13728])).
% 16.35/11.19 tff(13731,plain,
% 16.35/11.19 (node14(s168, s169)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13730, 46, 13727])).
% 16.35/11.19 tff(13732,plain,
% 16.35/11.19 (((~![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(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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13733,plain,
% 16.35/11.19 (((~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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13734,plain,
% 16.35/11.19 (((~![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(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))))),
% 16.35/11.19 inference(monotonicity,[status(thm)],[13733])).
% 16.35/11.19 tff(13735,plain,
% 16.35/11.19 (((~![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(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)))),
% 16.35/11.19 inference(transitivity,[status(thm)],[13734, 13732])).
% 16.35/11.19 tff(13736,plain,
% 16.35/11.19 ((~![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(s168, c_c2)) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | m_main_v_state2(s169, c_n2))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13737,plain,
% 16.35/11.19 ((~![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(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13736, 13735])).
% 16.35/11.19 tff(13738,plain,
% 16.35/11.19 (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~m_main_v_state2(s168, c_c2))),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13737, 726, 13731])).
% 16.35/11.19 tff(13739,plain,
% 16.35/11.19 (m_main_v_state2(s169, c_n2)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13738, 13720, 13675, 13712, 13708, 13700, 13683])).
% 16.35/11.19 tff(13740,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13741,plain,
% 16.35/11.19 ((~![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)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13742,plain,
% 16.35/11.19 ((~![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))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13741, 13740])).
% 16.35/11.19 tff(13743,plain,
% 16.35/11.19 (~m_main_v_state2(s169, c_c2)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13742, 697, 13739])).
% 16.35/11.19 tff(13744,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13745,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s169, c_c2) | (~node3(s169)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13746,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s169, c_c2) | (~node3(s169))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 16.35/11.19 tff(13747,plain,
% 16.35/11.19 (~node3(s169)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13746, 399, 13743])).
% 16.35/11.19 tff(13748,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13749,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s168, c_n1) | (~node1(s168)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13750,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s168, c_n1) | (~node1(s168))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13749, 13748])).
% 16.35/11.19 tff(13751,plain,
% 16.35/11.19 (~node1(s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13750, 421, 13696])).
% 16.35/11.19 tff(13752,plain,
% 16.35/11.19 (((~![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))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13753,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s167, s168)) | node18(s167, s168))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13754,plain,
% 16.35/11.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s167, s168)) | node18(s167, s168)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13753, 13752])).
% 16.35/11.19 tff(13755,plain,
% 16.35/11.19 (node18(s167, s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13754, 125, 13666])).
% 16.35/11.19 tff(13756,plain,
% 16.35/11.19 (((~![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(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))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13757,plain,
% 16.35/11.19 ((~![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(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13758,plain,
% 16.35/11.19 ((~![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(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2)),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13757, 13756])).
% 16.35/11.19 tff(13759,plain,
% 16.35/11.19 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | m_main_v_turn(s168, c_2)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13758, 760, 13755])).
% 16.35/11.19 tff(13760,plain,
% 16.35/11.19 (m_main_v_turn(s168, c_2)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13759, 13619, 13655])).
% 16.35/11.19 tff(13761,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13762,plain,
% 16.35/11.19 ((~![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)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13763,plain,
% 16.35/11.19 ((~![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))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13762, 13761])).
% 16.35/11.19 tff(13764,plain,
% 16.35/11.19 (~m_main_v_turn(s168, c_1)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13763, 156, 13760])).
% 16.35/11.19 tff(13765,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13766,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s168, c_1) | (~node5(s168)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13767,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s168, c_1) | (~node5(s168))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13766, 13765])).
% 16.35/11.19 tff(13768,plain,
% 16.35/11.19 (~node5(s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13767, 776, 13764])).
% 16.35/11.19 tff(13769,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13770,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s168, c_n1) | (~node2(s168)))),
% 16.35/11.19 inference(quant_inst,[status(thm)],[])).
% 16.35/11.19 tff(13771,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s168, c_n1) | (~node2(s168))),
% 16.35/11.19 inference(modus_ponens,[status(thm)],[13770, 13769])).
% 16.35/11.19 tff(13772,plain,
% 16.35/11.19 (~node2(s168)),
% 16.35/11.19 inference(unit_resolution,[status(thm)],[13771, 787, 13696])).
% 16.35/11.19 tff(13773,plain,
% 16.35/11.19 (((~![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)))),
% 16.35/11.19 inference(rewrite,[status(thm)],[])).
% 16.35/11.19 tff(13774,plain,
% 16.35/11.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s168, c_n1) | (~node3(s168)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13775,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s168, c_n1) | (~node3(s168))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13774, 13773])).
% 16.35/11.20 tff(13776,plain,
% 16.35/11.20 (~node3(s168)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13775, 798, 13696])).
% 16.35/11.20 tff(13777,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13778,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s168, c_n2) | (~node4(s168)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13779,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s168, c_n2) | (~node4(s168))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 16.35/11.20 tff(13780,plain,
% 16.35/11.20 (~node4(s168)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13779, 388, 13716])).
% 16.35/11.20 tff(13781,plain,
% 16.35/11.20 (((~![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))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13782,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s168, s169)) | node7(s168, s169))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13783,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s168, s169)) | node7(s168, s169)),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13782, 13781])).
% 16.35/11.20 tff(13784,plain,
% 16.35/11.20 (node7(s168, s169)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13783, 206, 13727])).
% 16.35/11.20 tff(13785,plain,
% 16.35/11.20 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13786,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13787,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13786, 13785])).
% 16.35/11.20 tff(13788,plain,
% 16.35/11.20 (m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13787, 820, 13784])).
% 16.35/11.20 tff(13789,plain,
% 16.35/11.20 (node6(s168, s169)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13788, 13780, 13704, 13776, 13772, 13768, 13751])).
% 16.35/11.20 tff(13790,plain,
% 16.35/11.20 (((~![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(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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13791,plain,
% 16.35/11.20 (((~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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13792,plain,
% 16.35/11.20 (((~![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))))),
% 16.35/11.20 inference(monotonicity,[status(thm)],[13791])).
% 16.35/11.20 tff(13793,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(transitivity,[status(thm)],[13792, 13790])).
% 16.35/11.20 tff(13794,plain,
% 16.35/11.20 ((~![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)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13795,plain,
% 16.35/11.20 ((~![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(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13794, 13793])).
% 16.35/11.20 tff(13796,plain,
% 16.35/11.20 (~m_main_v_state1(s169, c_n1)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13795, 835, 13696, 13789])).
% 16.35/11.20 tff(13797,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13798,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s169, c_n1) | (~node2(s169)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13799,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s169, c_n1) | (~node2(s169))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13798, 13797])).
% 16.35/11.20 tff(13800,plain,
% 16.35/11.20 (~node2(s169)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13799, 787, 13796])).
% 16.35/11.20 tff(13801,plain,
% 16.35/11.20 (((~![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(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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13802,plain,
% 16.35/11.20 (((~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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13803,plain,
% 16.35/11.20 (((~![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))))),
% 16.35/11.20 inference(monotonicity,[status(thm)],[13802])).
% 16.35/11.20 tff(13804,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(transitivity,[status(thm)],[13803, 13801])).
% 16.35/11.20 tff(13805,plain,
% 16.35/11.20 ((~![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))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13806,plain,
% 16.35/11.20 ((~![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(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13805, 13804])).
% 16.35/11.20 tff(13807,plain,
% 16.35/11.20 (m_main_v_state1(s169, c_t1)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13806, 856, 13692, 13789])).
% 16.35/11.20 tff(13808,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13809,plain,
% 16.35/11.20 ((~![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)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13810,plain,
% 16.35/11.20 ((~![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))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13809, 13808])).
% 16.35/11.20 tff(13811,plain,
% 16.35/11.20 (~m_main_v_state2(s169, c_t2)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13810, 77, 13739])).
% 16.35/11.20 tff(13812,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13813,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s169, c_t2) | (~node1(s169)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13814,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s169, c_t2) | (~node1(s169))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13813, 13812])).
% 16.35/11.20 tff(13815,plain,
% 16.35/11.20 (~node1(s169)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13814, 195, 13811])).
% 16.35/11.20 tff(13816,plain,
% 16.35/11.20 (succ(s169, s170) <=> succ(s169, s170)),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13817,axiom,(succ(s169, s170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound170')).
% 16.35/11.20 tff(13818,plain,
% 16.35/11.20 (succ(s169, s170)),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13817, 13816])).
% 16.35/11.20 tff(13819,plain,
% 16.35/11.20 (((~![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))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13820,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13821,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170)),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13820, 13819])).
% 16.35/11.20 tff(13822,plain,
% 16.35/11.20 (trans(s169, s170)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13821, 13818, 32])).
% 16.35/11.20 tff(13823,plain,
% 16.35/11.20 (((~![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))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13824,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s169, s170)) | node7(s169, s170))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13825,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s169, s170)) | node7(s169, s170)),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13824, 13823])).
% 16.35/11.20 tff(13826,plain,
% 16.35/11.20 (node7(s169, s170)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13825, 206, 13822])).
% 16.35/11.20 tff(13827,plain,
% 16.35/11.20 (((~![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(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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13828,plain,
% 16.35/11.20 (((~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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13829,plain,
% 16.35/11.20 (((~![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(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))))),
% 16.35/11.20 inference(monotonicity,[status(thm)],[13828])).
% 16.35/11.20 tff(13830,plain,
% 16.35/11.20 (((~![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(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)))),
% 16.35/11.20 inference(transitivity,[status(thm)],[13829, 13827])).
% 16.35/11.20 tff(13831,plain,
% 16.35/11.20 ((~![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(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))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13832,plain,
% 16.35/11.20 ((~![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(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))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13831, 13830])).
% 16.35/11.20 tff(13833,plain,
% 16.35/11.20 ((~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)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13832, 892, 13826])).
% 16.35/11.20 tff(13834,plain,
% 16.35/11.20 (m_main_v_state1(s170, c_c1)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13833, 13815, 13739, 13807, 13800, 13747])).
% 16.35/11.20 tff(13835,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13836,plain,
% 16.35/11.20 ((~![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)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13837,plain,
% 16.35/11.20 ((~![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))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13836, 13835])).
% 16.35/11.20 tff(13838,plain,
% 16.35/11.20 (~m_main_v_state1(s170, c_t1)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13837, 539, 13834])).
% 16.35/11.20 tff(13839,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13840,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s170, c_t1) | (~node5(s170)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13841,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s170, c_t1) | (~node5(s170))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13840, 13839])).
% 16.35/11.20 tff(13842,plain,
% 16.35/11.20 (~node5(s170)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13841, 550, 13838])).
% 16.35/11.20 tff(13843,plain,
% 16.35/11.20 (((~![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))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13844,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s169, s170)) | node14(s169, s170))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13845,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s169, s170)) | node14(s169, s170)),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13844, 13843])).
% 16.35/11.20 tff(13846,plain,
% 16.35/11.20 (node14(s169, s170)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13845, 46, 13822])).
% 16.35/11.20 tff(13847,plain,
% 16.35/11.20 (((~![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(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))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13848,plain,
% 16.35/11.20 ((~![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(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13849,plain,
% 16.35/11.20 ((~![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(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2)),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13848, 13847])).
% 16.35/11.20 tff(13850,plain,
% 16.35/11.20 ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state2(s170, c_t2)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13849, 922, 13846])).
% 16.35/11.20 tff(13851,plain,
% 16.35/11.20 (m_main_v_state2(s170, c_t2)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13850, 13807, 13739])).
% 16.35/11.20 tff(13852,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13853,plain,
% 16.35/11.20 ((~![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)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13854,plain,
% 16.35/11.20 ((~![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))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13853, 13852])).
% 16.35/11.20 tff(13855,plain,
% 16.35/11.20 (~m_main_v_state2(s170, c_n2)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13854, 77, 13851])).
% 16.35/11.20 tff(13856,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13857,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s170, c_n2) | (~node4(s170)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13858,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s170, c_n2) | (~node4(s170))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13857, 13856])).
% 16.35/11.20 tff(13859,plain,
% 16.35/11.20 (~node4(s170)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13858, 388, 13855])).
% 16.35/11.20 tff(13860,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13861,plain,
% 16.35/11.20 ((~![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)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13862,plain,
% 16.35/11.20 ((~![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))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13861, 13860])).
% 16.35/11.20 tff(13863,plain,
% 16.35/11.20 (~m_main_v_state2(s170, c_c2)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13862, 260, 13851])).
% 16.35/11.20 tff(13864,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13865,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s170, c_c2) | (~node3(s170)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13866,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s170, c_c2) | (~node3(s170))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13865, 13864])).
% 16.35/11.20 tff(13867,plain,
% 16.35/11.20 (~node3(s170)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13866, 399, 13863])).
% 16.35/11.20 tff(13868,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13869,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s170, c_n2) | (~node2(s170)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13870,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s170, c_n2) | (~node2(s170))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13869, 13868])).
% 16.35/11.20 tff(13871,plain,
% 16.35/11.20 (~node2(s170)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13870, 410, 13855])).
% 16.35/11.20 tff(13872,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13873,plain,
% 16.35/11.20 ((~![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)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13874,plain,
% 16.35/11.20 ((~![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))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13873, 13872])).
% 16.35/11.20 tff(13875,plain,
% 16.35/11.20 (~m_main_v_state1(s170, c_n1)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13874, 454, 13834])).
% 16.35/11.20 tff(13876,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13877,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s170, c_n1) | (~node1(s170)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13878,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s170, c_n1) | (~node1(s170))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13877, 13876])).
% 16.35/11.20 tff(13879,plain,
% 16.35/11.20 (~node1(s170)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13878, 421, 13875])).
% 16.35/11.20 tff(13880,plain,
% 16.35/11.20 (succ(s170, s171) <=> succ(s170, s171)),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13881,axiom,(succ(s170, s171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound171')).
% 16.35/11.20 tff(13882,plain,
% 16.35/11.20 (succ(s170, s171)),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13881, 13880])).
% 16.35/11.20 tff(13883,plain,
% 16.35/11.20 (((~![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))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13884,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13885,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171)),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 16.35/11.20 tff(13886,plain,
% 16.35/11.20 (trans(s170, s171)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13885, 13882, 32])).
% 16.35/11.20 tff(13887,plain,
% 16.35/11.20 (((~![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))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13888,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s170, s171)) | node7(s170, s171))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13889,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s170, s171)) | node7(s170, s171)),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 16.35/11.20 tff(13890,plain,
% 16.35/11.20 (node7(s170, s171)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13889, 206, 13886])).
% 16.35/11.20 tff(13891,plain,
% 16.35/11.20 (((~![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(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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13892,plain,
% 16.35/11.20 (((~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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13893,plain,
% 16.35/11.20 (((~![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(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))))),
% 16.35/11.20 inference(monotonicity,[status(thm)],[13892])).
% 16.35/11.20 tff(13894,plain,
% 16.35/11.20 (((~![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(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)))),
% 16.35/11.20 inference(transitivity,[status(thm)],[13893, 13891])).
% 16.35/11.20 tff(13895,plain,
% 16.35/11.20 ((~![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(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)) | m_main_v_state1(s171, c_n1))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13896,plain,
% 16.35/11.20 ((~![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(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 16.35/11.20 tff(13897,plain,
% 16.35/11.20 (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13896, 584, 13890])).
% 16.35/11.20 tff(13898,plain,
% 16.35/11.20 (m_main_v_state1(s171, c_n1)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13897, 13879, 13834, 13871, 13867, 13859, 13842])).
% 16.35/11.20 tff(13899,plain,
% 16.35/11.20 (((~![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)))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13900,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s169, c_t2) | (~node15(s169)))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13901,plain,
% 16.35/11.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s169, c_t2) | (~node15(s169))),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13900, 13899])).
% 16.35/11.20 tff(13902,plain,
% 16.35/11.20 (~node15(s169)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13901, 103, 13811])).
% 16.35/11.20 tff(13903,plain,
% 16.35/11.20 (((~![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))),
% 16.35/11.20 inference(rewrite,[status(thm)],[])).
% 16.35/11.20 tff(13904,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s169, s170)) | node18(s169, s170))),
% 16.35/11.20 inference(quant_inst,[status(thm)],[])).
% 16.35/11.20 tff(13905,plain,
% 16.35/11.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s169, s170)) | node18(s169, s170)),
% 16.35/11.20 inference(modus_ponens,[status(thm)],[13904, 13903])).
% 16.35/11.20 tff(13906,plain,
% 16.35/11.20 (node18(s169, s170)),
% 16.35/11.20 inference(unit_resolution,[status(thm)],[13905, 125, 13822])).
% 16.35/11.20 tff(13907,plain,
% 16.35/11.20 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13908,plain,
% 16.35/11.21 (((~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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13909,plain,
% 16.35/11.21 (((~![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(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)))),
% 16.35/11.21 inference(monotonicity,[status(thm)],[13908])).
% 16.35/11.21 tff(13910,plain,
% 16.35/11.21 (((~![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(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))),
% 16.35/11.21 inference(transitivity,[status(thm)],[13909, 13907])).
% 16.35/11.21 tff(13911,plain,
% 16.35/11.21 ((~![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(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13912,plain,
% 16.35/11.21 ((~![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(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)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13911, 13910])).
% 16.35/11.21 tff(13913,plain,
% 16.35/11.21 (node15(s169) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13912, 992, 13906])).
% 16.35/11.21 tff(13914,plain,
% 16.35/11.21 (m_main_v_turn(s170, c_1)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13913, 13902, 13739, 13807])).
% 16.35/11.21 tff(13915,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13916,plain,
% 16.35/11.21 ((~![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)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13917,plain,
% 16.35/11.21 ((~![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))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13916, 13915])).
% 16.35/11.21 tff(13918,plain,
% 16.35/11.21 (~m_main_v_turn(s170, c_2)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13917, 156, 13914])).
% 16.35/11.21 tff(13919,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13920,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s170, c_2) | (~node12(s170)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13921,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s170, c_2) | (~node12(s170))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13920, 13919])).
% 16.35/11.21 tff(13922,plain,
% 16.35/11.21 (~node12(s170)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13921, 184, 13918])).
% 16.35/11.21 tff(13923,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13924,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s170, c_n2) | (~node8(s170)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13925,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s170, c_n2) | (~node8(s170))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13924, 13923])).
% 16.35/11.21 tff(13926,plain,
% 16.35/11.21 (~node8(s170)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13925, 271, 13855])).
% 16.35/11.21 tff(13927,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13928,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s170, c_n2) | (~node9(s170)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13929,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s170, c_n2) | (~node9(s170))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13928, 13927])).
% 16.35/11.21 tff(13930,plain,
% 16.35/11.21 (~node9(s170)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13929, 88, 13855])).
% 16.35/11.21 tff(13931,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13932,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s170, c_n2) | (~node10(s170)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13933,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s170, c_n2) | (~node10(s170))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13932, 13931])).
% 16.35/11.21 tff(13934,plain,
% 16.35/11.21 (~node10(s170)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13933, 249, 13855])).
% 16.35/11.21 tff(13935,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13936,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s170, c_n1) | (~node11(s170)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13937,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s170, c_n1) | (~node11(s170))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13936, 13935])).
% 16.35/11.21 tff(13938,plain,
% 16.35/11.21 (~node11(s170)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13937, 238, 13875])).
% 16.35/11.21 tff(13939,plain,
% 16.35/11.21 (((~![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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13940,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s170, s171)) | node14(s170, s171))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13941,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s170, s171)) | node14(s170, s171)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13940, 13939])).
% 16.35/11.21 tff(13942,plain,
% 16.35/11.21 (node14(s170, s171)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13941, 46, 13886])).
% 16.35/11.21 tff(13943,plain,
% 16.35/11.21 (((~![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(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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13944,plain,
% 16.35/11.21 ((~![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(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13945,plain,
% 16.35/11.21 ((~![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(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13944, 13943])).
% 16.35/11.21 tff(13946,plain,
% 16.35/11.21 (m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13945, 296, 13942])).
% 16.35/11.21 tff(13947,plain,
% 16.35/11.21 (node13(s170, s171)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13946, 13938, 13863, 13934, 13930, 13926, 13922])).
% 16.35/11.21 tff(13948,plain,
% 16.35/11.21 (((~![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(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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13949,plain,
% 16.35/11.21 (((~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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13950,plain,
% 16.35/11.21 (((~![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))))),
% 16.35/11.21 inference(monotonicity,[status(thm)],[13949])).
% 16.35/11.21 tff(13951,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(transitivity,[status(thm)],[13950, 13948])).
% 16.35/11.21 tff(13952,plain,
% 16.35/11.21 ((~![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))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13953,plain,
% 16.35/11.21 ((~![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(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13952, 13951])).
% 16.35/11.21 tff(13954,plain,
% 16.35/11.21 (m_main_v_state2(s171, c_t2)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13953, 518, 13851, 13947])).
% 16.35/11.21 tff(13955,plain,
% 16.35/11.21 (succ(s171, s172) <=> succ(s171, s172)),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13956,axiom,(succ(s171, s172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound172')).
% 16.35/11.21 tff(13957,plain,
% 16.35/11.21 (succ(s171, s172)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13956, 13955])).
% 16.35/11.21 tff(13958,plain,
% 16.35/11.21 (((~![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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13959,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13960,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13959, 13958])).
% 16.35/11.21 tff(13961,plain,
% 16.35/11.21 (trans(s171, s172)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13960, 13957, 32])).
% 16.35/11.21 tff(13962,plain,
% 16.35/11.21 (((~![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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13963,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s171, s172)) | node7(s171, s172))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13964,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s171, s172)) | node7(s171, s172)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 16.35/11.21 tff(13965,plain,
% 16.35/11.21 (node7(s171, s172)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13964, 206, 13961])).
% 16.35/11.21 tff(13966,plain,
% 16.35/11.21 (((~![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(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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13967,plain,
% 16.35/11.21 ((~![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(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13968,plain,
% 16.35/11.21 ((~![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(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13967, 13966])).
% 16.35/11.21 tff(13969,plain,
% 16.35/11.21 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | m_main_v_state1(s172, c_t1)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13968, 651, 13965])).
% 16.35/11.21 tff(13970,plain,
% 16.35/11.21 (m_main_v_state1(s172, c_t1)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13969, 13954, 13898])).
% 16.35/11.21 tff(13971,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13972,plain,
% 16.35/11.21 ((~![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)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13973,plain,
% 16.35/11.21 ((~![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))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13972, 13971])).
% 16.35/11.21 tff(13974,plain,
% 16.35/11.21 (~m_main_v_state1(s172, c_n1)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13973, 10, 13970])).
% 16.35/11.21 tff(13975,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13976,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s172, c_n1) | (~node1(s172)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13977,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s172, c_n1) | (~node1(s172))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13976, 13975])).
% 16.35/11.21 tff(13978,plain,
% 16.35/11.21 (~node1(s172)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13977, 421, 13974])).
% 16.35/11.21 tff(13979,plain,
% 16.35/11.21 (((~![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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13980,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s171, s172)) | node18(s171, s172))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13981,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s171, s172)) | node18(s171, s172)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13980, 13979])).
% 16.35/11.21 tff(13982,plain,
% 16.35/11.21 (node18(s171, s172)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13981, 125, 13961])).
% 16.35/11.21 tff(13983,plain,
% 16.35/11.21 (((~![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(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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13984,plain,
% 16.35/11.21 ((~![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(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13985,plain,
% 16.35/11.21 ((~![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(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13984, 13983])).
% 16.35/11.21 tff(13986,plain,
% 16.35/11.21 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | m_main_v_turn(s172, c_2)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13985, 760, 13982])).
% 16.35/11.21 tff(13987,plain,
% 16.35/11.21 (m_main_v_turn(s172, c_2)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13986, 13954, 13898])).
% 16.35/11.21 tff(13988,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13989,plain,
% 16.35/11.21 ((~![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)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13990,plain,
% 16.35/11.21 ((~![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))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13989, 13988])).
% 16.35/11.21 tff(13991,plain,
% 16.35/11.21 (~m_main_v_turn(s172, c_1)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13990, 156, 13987])).
% 16.35/11.21 tff(13992,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13993,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s172, c_1) | (~node5(s172)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13994,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s172, c_1) | (~node5(s172))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13993, 13992])).
% 16.35/11.21 tff(13995,plain,
% 16.35/11.21 (~node5(s172)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13994, 776, 13991])).
% 16.35/11.21 tff(13996,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(13997,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s172, c_n1) | (~node2(s172)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(13998,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s172, c_n1) | (~node2(s172))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[13997, 13996])).
% 16.35/11.21 tff(13999,plain,
% 16.35/11.21 (~node2(s172)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[13998, 787, 13974])).
% 16.35/11.21 tff(14000,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14001,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s172, c_n1) | (~node3(s172)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14002,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s172, c_n1) | (~node3(s172))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14001, 14000])).
% 16.35/11.21 tff(14003,plain,
% 16.35/11.21 (~node3(s172)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14002, 798, 13974])).
% 16.35/11.21 tff(14004,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14005,plain,
% 16.35/11.21 ((~![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)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14006,plain,
% 16.35/11.21 ((~![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))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14005, 14004])).
% 16.35/11.21 tff(14007,plain,
% 16.35/11.21 (~m_main_v_state1(s172, c_c1)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14006, 539, 13970])).
% 16.35/11.21 tff(14008,plain,
% 16.35/11.21 (((~![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(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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14009,plain,
% 16.35/11.21 (((~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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14010,plain,
% 16.35/11.21 (((~![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))))),
% 16.35/11.21 inference(monotonicity,[status(thm)],[14009])).
% 16.35/11.21 tff(14011,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(transitivity,[status(thm)],[14010, 14008])).
% 16.35/11.21 tff(14012,plain,
% 16.35/11.21 ((~![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)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14013,plain,
% 16.35/11.21 ((~![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(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 16.35/11.21 tff(14014,plain,
% 16.35/11.21 (~m_main_v_state2(s171, c_n2)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14013, 311, 13855, 13947])).
% 16.35/11.21 tff(14015,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14016,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s171, c_n2) | (~node9(s171)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14017,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s171, c_n2) | (~node9(s171))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14016, 14015])).
% 16.35/11.21 tff(14018,plain,
% 16.35/11.21 (~node9(s171)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14017, 88, 14014])).
% 16.35/11.21 tff(14019,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14020,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s171, c_n2) | (~node10(s171)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14021,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s171, c_n2) | (~node10(s171))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14020, 14019])).
% 16.35/11.21 tff(14022,plain,
% 16.35/11.21 (~node10(s171)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14021, 249, 14014])).
% 16.35/11.21 tff(14023,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14024,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s171, c_n2) | (~node8(s171)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14025,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s171, c_n2) | (~node8(s171))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14024, 14023])).
% 16.35/11.21 tff(14026,plain,
% 16.35/11.21 (~node8(s171)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14025, 271, 14014])).
% 16.35/11.21 tff(14027,plain,
% 16.35/11.21 (((~![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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14028,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s171, s172)) | node14(s171, s172))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14029,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s171, s172)) | node14(s171, s172)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14028, 14027])).
% 16.35/11.21 tff(14030,plain,
% 16.35/11.21 (node14(s171, s172)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14029, 46, 13961])).
% 16.35/11.21 tff(14031,plain,
% 16.35/11.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14032,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14033,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14032, 14031])).
% 16.35/11.21 tff(14034,plain,
% 16.35/11.21 ((~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)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14033, 617, 14030])).
% 16.35/11.21 tff(14035,plain,
% 16.35/11.21 (m_main_v_state2(s172, c_c2)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14034, 14026, 13898, 13954, 14022, 14018])).
% 16.35/11.21 tff(14036,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14037,plain,
% 16.35/11.21 ((~![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)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14038,plain,
% 16.35/11.21 ((~![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))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 16.35/11.21 tff(14039,plain,
% 16.35/11.21 (~m_main_v_state2(s172, c_n2)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14038, 697, 14035])).
% 16.35/11.21 tff(14040,plain,
% 16.35/11.21 (((~![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)))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14041,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s172, c_n2) | (~node4(s172)))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14042,plain,
% 16.35/11.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s172, c_n2) | (~node4(s172))),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14041, 14040])).
% 16.35/11.21 tff(14043,plain,
% 16.35/11.21 (~node4(s172)),
% 16.35/11.21 inference(unit_resolution,[status(thm)],[14042, 388, 14039])).
% 16.35/11.21 tff(14044,plain,
% 16.35/11.21 (succ(s172, s173) <=> succ(s172, s173)),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14045,axiom,(succ(s172, s173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound173')).
% 16.35/11.21 tff(14046,plain,
% 16.35/11.21 (succ(s172, s173)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 16.35/11.21 tff(14047,plain,
% 16.35/11.21 (((~![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))),
% 16.35/11.21 inference(rewrite,[status(thm)],[])).
% 16.35/11.21 tff(14048,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))),
% 16.35/11.21 inference(quant_inst,[status(thm)],[])).
% 16.35/11.21 tff(14049,plain,
% 16.35/11.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173)),
% 16.35/11.21 inference(modus_ponens,[status(thm)],[14048, 14047])).
% 16.35/11.22 tff(14050,plain,
% 16.35/11.22 (trans(s172, s173)),
% 16.35/11.22 inference(unit_resolution,[status(thm)],[14049, 14046, 32])).
% 16.35/11.22 tff(14051,plain,
% 16.35/11.22 (((~![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))),
% 16.35/11.22 inference(rewrite,[status(thm)],[])).
% 16.35/11.22 tff(14052,plain,
% 16.35/11.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s172, s173)) | node7(s172, s173))),
% 16.35/11.22 inference(quant_inst,[status(thm)],[])).
% 16.35/11.22 tff(14053,plain,
% 16.35/11.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s172, s173)) | node7(s172, s173)),
% 16.35/11.22 inference(modus_ponens,[status(thm)],[14052, 14051])).
% 16.35/11.22 tff(14054,plain,
% 16.35/11.22 (node7(s172, s173)),
% 16.35/11.22 inference(unit_resolution,[status(thm)],[14053, 206, 14050])).
% 16.35/11.22 tff(14055,plain,
% 16.35/11.22 (((~![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(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)))),
% 16.35/11.22 inference(rewrite,[status(thm)],[])).
% 16.35/11.22 tff(14056,plain,
% 16.35/11.22 ((~![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(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173)))),
% 16.35/11.22 inference(quant_inst,[status(thm)],[])).
% 16.35/11.22 tff(14057,plain,
% 16.35/11.22 ((~![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(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173))),
% 16.35/11.22 inference(modus_ponens,[status(thm)],[14056, 14055])).
% 16.35/11.22 tff(14058,plain,
% 16.35/11.22 (m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173)),
% 16.35/11.22 inference(unit_resolution,[status(thm)],[14057, 820, 14054])).
% 16.35/11.22 tff(14059,plain,
% 16.35/11.22 (node6(s172, s173)),
% 16.35/11.22 inference(unit_resolution,[status(thm)],[14058, 14043, 14007, 14003, 13999, 13995, 13978])).
% 16.35/11.22 tff(14060,plain,
% 16.35/11.22 (((~![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(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)))),
% 16.35/11.22 inference(rewrite,[status(thm)],[])).
% 16.35/11.22 tff(14061,plain,
% 16.35/11.22 (((~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)))),
% 16.35/11.22 inference(rewrite,[status(thm)],[])).
% 16.35/11.22 tff(14062,plain,
% 16.35/11.22 (((~![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))))),
% 16.35/11.22 inference(monotonicity,[status(thm)],[14061])).
% 16.35/11.22 tff(14063,plain,
% 16.35/11.22 (((~![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)))),
% 16.35/11.22 inference(transitivity,[status(thm)],[14062, 14060])).
% 16.35/11.22 tff(14064,plain,
% 16.35/11.22 ((~![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))),
% 16.35/11.22 inference(quant_inst,[status(thm)],[])).
% 16.35/11.22 tff(14065,plain,
% 16.35/11.22 ((~![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(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173))),
% 16.35/11.22 inference(modus_ponens,[status(thm)],[14064, 14063])).
% 16.35/11.22 tff(14066,plain,
% 16.35/11.22 (m_main_v_state1(s173, c_t1)),
% 16.35/11.22 inference(unit_resolution,[status(thm)],[14065, 856, 13970, 14059])).
% 16.35/11.22 tff(14067,plain,
% 16.35/11.22 (((~![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)))),
% 16.35/11.22 inference(rewrite,[status(thm)],[])).
% 16.35/11.22 tff(14068,plain,
% 16.35/11.22 ((~![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)))),
% 16.35/11.22 inference(quant_inst,[status(thm)],[])).
% 16.35/11.22 tff(14069,plain,
% 16.35/11.22 ((~![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))),
% 16.35/11.22 inference(modus_ponens,[status(thm)],[14068, 14067])).
% 16.35/11.22 tff(14070,plain,
% 16.35/11.22 (~m_main_v_state2(s172, c_t2)),
% 16.35/11.22 inference(unit_resolution,[status(thm)],[14069, 260, 14035])).
% 16.35/11.22 tff(14071,plain,
% 16.35/11.22 (((~![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)))),
% 16.35/11.22 inference(rewrite,[status(thm)],[])).
% 16.35/11.22 tff(14072,plain,
% 16.35/11.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s172, c_t2) | (~node12(s172)))),
% 16.35/11.22 inference(quant_inst,[status(thm)],[])).
% 16.35/11.22 tff(14073,plain,
% 16.35/11.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s172, c_t2) | (~node12(s172))),
% 16.35/11.22 inference(modus_ponens,[status(thm)],[14072, 14071])).
% 16.35/11.22 tff(14074,plain,
% 16.35/11.22 (~node12(s172)),
% 16.35/11.22 inference(unit_resolution,[status(thm)],[14073, 633, 14070])).
% 16.35/11.22 tff(14075,plain,
% 16.35/11.22 (((~![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)))),
% 16.35/11.22 inference(rewrite,[status(thm)],[])).
% 16.35/11.22 tff(14076,plain,
% 16.35/11.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s172, c_n1) | (~node11(s172)))),
% 16.35/11.22 inference(quant_inst,[status(thm)],[])).
% 16.35/11.22 tff(14077,plain,
% 16.35/11.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s172, c_n1) | (~node11(s172))),
% 16.35/11.22 inference(modus_ponens,[status(thm)],[14076, 14075])).
% 16.35/11.22 tff(14078,plain,
% 16.35/11.22 (~node11(s172)),
% 16.35/11.22 inference(unit_resolution,[status(thm)],[14077, 238, 13974])).
% 16.35/11.22 tff(14079,plain,
% 16.35/11.22 (((~![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)))),
% 16.35/11.22 inference(rewrite,[status(thm)],[])).
% 16.35/11.22 tff(14080,plain,
% 16.35/11.22 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s172, c_c1) | (~node10(s172)))),
% 16.35/11.22 inference(quant_inst,[status(thm)],[])).
% 16.35/11.22 tff(14081,plain,
% 16.35/11.22 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s172, c_c1) | (~node10(s172))),
% 16.35/11.22 inference(modus_ponens,[status(thm)],[14080, 14079])).
% 16.35/11.22 tff(14082,plain,
% 16.35/11.22 (~node10(s172)),
% 16.35/11.22 inference(unit_resolution,[status(thm)],[14081, 675, 14007])).
% 16.35/11.22 tff(14083,plain,
% 16.35/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14084,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s172, c_n1) | (~node9(s172)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14085,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s172, c_n1) | (~node9(s172))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14084, 14083])).
% 16.42/11.22 tff(14086,plain,
% 16.42/11.22 (~node9(s172)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14085, 686, 13974])).
% 16.42/11.22 tff(14087,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14088,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s172, c_n2) | (~node8(s172)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14089,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s172, c_n2) | (~node8(s172))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14088, 14087])).
% 16.42/11.22 tff(14090,plain,
% 16.42/11.22 (~node8(s172)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14089, 271, 14039])).
% 16.42/11.22 tff(14091,plain,
% 16.42/11.22 (((~![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))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14092,plain,
% 16.42/11.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s172, s173)) | node14(s172, s173))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14093,plain,
% 16.42/11.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s172, s173)) | node14(s172, s173)),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14092, 14091])).
% 16.42/11.22 tff(14094,plain,
% 16.42/11.22 (node14(s172, s173)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14093, 46, 14050])).
% 16.42/11.22 tff(14095,plain,
% 16.42/11.22 (((~![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(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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14096,plain,
% 16.42/11.22 (((~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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14097,plain,
% 16.42/11.22 (((~![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(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))))),
% 16.42/11.22 inference(monotonicity,[status(thm)],[14096])).
% 16.42/11.22 tff(14098,plain,
% 16.42/11.22 (((~![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(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)))),
% 16.42/11.22 inference(transitivity,[status(thm)],[14097, 14095])).
% 16.42/11.22 tff(14099,plain,
% 16.42/11.22 ((~![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(s172, c_c2)) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | m_main_v_state2(s173, c_n2))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14100,plain,
% 16.42/11.22 ((~![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(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14099, 14098])).
% 16.42/11.22 tff(14101,plain,
% 16.42/11.22 (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~m_main_v_state2(s172, c_c2))),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14100, 726, 14094])).
% 16.42/11.22 tff(14102,plain,
% 16.42/11.22 (m_main_v_state2(s173, c_n2)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14101, 14090, 14035, 14086, 14082, 14078, 14074])).
% 16.42/11.22 tff(14103,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14104,plain,
% 16.42/11.22 ((~![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)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14105,plain,
% 16.42/11.22 ((~![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))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 16.42/11.22 tff(14106,plain,
% 16.42/11.22 (~m_main_v_state2(s173, c_t2)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14105, 77, 14102])).
% 16.42/11.22 tff(14107,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14108,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s173, c_t2) | (~node15(s173)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14109,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s173, c_t2) | (~node15(s173))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14108, 14107])).
% 16.42/11.22 tff(14110,plain,
% 16.42/11.22 (~node15(s173)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14109, 103, 14106])).
% 16.42/11.22 tff(14111,plain,
% 16.42/11.22 (succ(s173, s174) <=> succ(s173, s174)),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14112,axiom,(succ(s173, s174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound174')).
% 16.42/11.22 tff(14113,plain,
% 16.42/11.22 (succ(s173, s174)),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14112, 14111])).
% 16.42/11.22 tff(14114,plain,
% 16.42/11.22 (((~![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))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14115,plain,
% 16.42/11.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14116,plain,
% 16.42/11.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174)),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14115, 14114])).
% 16.42/11.22 tff(14117,plain,
% 16.42/11.22 (trans(s173, s174)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14116, 14113, 32])).
% 16.42/11.22 tff(14118,plain,
% 16.42/11.22 (((~![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))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14119,plain,
% 16.42/11.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s173, s174)) | node18(s173, s174))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14120,plain,
% 16.42/11.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s173, s174)) | node18(s173, s174)),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14119, 14118])).
% 16.42/11.22 tff(14121,plain,
% 16.42/11.22 (node18(s173, s174)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14120, 125, 14117])).
% 16.42/11.22 tff(14122,plain,
% 16.42/11.22 (((~![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(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))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14123,plain,
% 16.42/11.22 (((~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))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14124,plain,
% 16.42/11.22 (((~![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(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)))),
% 16.42/11.22 inference(monotonicity,[status(thm)],[14123])).
% 16.42/11.22 tff(14125,plain,
% 16.42/11.22 (((~![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(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))),
% 16.42/11.22 inference(transitivity,[status(thm)],[14124, 14122])).
% 16.42/11.22 tff(14126,plain,
% 16.42/11.22 ((~![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(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node15(s173) | (~node18(s173, s174)) | m_main_v_turn(s174, c_1))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14127,plain,
% 16.42/11.22 ((~![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(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)),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14126, 14125])).
% 16.42/11.22 tff(14128,plain,
% 16.42/11.22 (node15(s173) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14127, 992, 14121])).
% 16.42/11.22 tff(14129,plain,
% 16.42/11.22 (m_main_v_turn(s174, c_1)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14128, 14110, 14102, 14066])).
% 16.42/11.22 tff(14130,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14131,plain,
% 16.42/11.22 ((~![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)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14132,plain,
% 16.42/11.22 ((~![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))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14131, 14130])).
% 16.42/11.22 tff(14133,plain,
% 16.42/11.22 (~m_main_v_turn(s174, c_2)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14132, 156, 14129])).
% 16.42/11.22 tff(14134,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14135,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s174, c_2) | (~node12(s174)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14136,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s174, c_2) | (~node12(s174))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14135, 14134])).
% 16.42/11.22 tff(14137,plain,
% 16.42/11.22 (~node12(s174)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14136, 184, 14133])).
% 16.42/11.22 tff(14138,plain,
% 16.42/11.22 (((~![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))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14139,plain,
% 16.42/11.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s173, s174)) | node14(s173, s174))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14140,plain,
% 16.42/11.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s173, s174)) | node14(s173, s174)),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14139, 14138])).
% 16.42/11.22 tff(14141,plain,
% 16.42/11.22 (node14(s173, s174)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14140, 46, 14117])).
% 16.42/11.22 tff(14142,plain,
% 16.42/11.22 (((~![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(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))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14143,plain,
% 16.42/11.22 ((~![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(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14144,plain,
% 16.42/11.22 ((~![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(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2)),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14143, 14142])).
% 16.42/11.22 tff(14145,plain,
% 16.42/11.22 ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state2(s174, c_t2)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14144, 922, 14141])).
% 16.42/11.22 tff(14146,plain,
% 16.42/11.22 (m_main_v_state2(s174, c_t2)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14145, 14066, 14102])).
% 16.42/11.22 tff(14147,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14148,plain,
% 16.42/11.22 ((~![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)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14149,plain,
% 16.42/11.22 ((~![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))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14148, 14147])).
% 16.42/11.22 tff(14150,plain,
% 16.42/11.22 (~m_main_v_state2(s174, c_n2)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14149, 77, 14146])).
% 16.42/11.22 tff(14151,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14152,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s174, c_n2) | (~node8(s174)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14153,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s174, c_n2) | (~node8(s174))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14152, 14151])).
% 16.42/11.22 tff(14154,plain,
% 16.42/11.22 (~node8(s174)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14153, 271, 14150])).
% 16.42/11.22 tff(14155,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14156,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s174, c_n2) | (~node9(s174)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14157,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s174, c_n2) | (~node9(s174))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14156, 14155])).
% 16.42/11.22 tff(14158,plain,
% 16.42/11.22 (~node9(s174)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14157, 88, 14150])).
% 16.42/11.22 tff(14159,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14160,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s174, c_n2) | (~node10(s174)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14161,plain,
% 16.42/11.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s174, c_n2) | (~node10(s174))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14160, 14159])).
% 16.42/11.22 tff(14162,plain,
% 16.42/11.22 (~node10(s174)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14161, 249, 14150])).
% 16.42/11.22 tff(14163,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.22 inference(rewrite,[status(thm)],[])).
% 16.42/11.22 tff(14164,plain,
% 16.42/11.22 ((~![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)))),
% 16.42/11.22 inference(quant_inst,[status(thm)],[])).
% 16.42/11.22 tff(14165,plain,
% 16.42/11.22 ((~![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))),
% 16.42/11.22 inference(modus_ponens,[status(thm)],[14164, 14163])).
% 16.42/11.22 tff(14166,plain,
% 16.42/11.22 (~m_main_v_state2(s174, c_c2)),
% 16.42/11.22 inference(unit_resolution,[status(thm)],[14165, 260, 14146])).
% 16.42/11.22 tff(14167,plain,
% 16.42/11.22 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14168,plain,
% 16.42/11.23 ((~![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)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14169,plain,
% 16.42/11.23 ((~![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))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14168, 14167])).
% 16.42/11.23 tff(14170,plain,
% 16.42/11.23 (~m_main_v_state2(s173, c_c2)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14169, 697, 14102])).
% 16.42/11.23 tff(14171,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14172,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s173, c_c2) | (~node3(s173)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14173,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s173, c_c2) | (~node3(s173))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14172, 14171])).
% 16.42/11.23 tff(14174,plain,
% 16.42/11.23 (~node3(s173)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14173, 399, 14170])).
% 16.42/11.23 tff(14175,plain,
% 16.42/11.23 (((~![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(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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14176,plain,
% 16.42/11.23 (((~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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14177,plain,
% 16.42/11.23 (((~![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))))),
% 16.42/11.23 inference(monotonicity,[status(thm)],[14176])).
% 16.42/11.23 tff(14178,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(transitivity,[status(thm)],[14177, 14175])).
% 16.42/11.23 tff(14179,plain,
% 16.42/11.23 ((~![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)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14180,plain,
% 16.42/11.23 ((~![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(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14179, 14178])).
% 16.42/11.23 tff(14181,plain,
% 16.42/11.23 (~m_main_v_state1(s173, c_n1)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14180, 835, 13974, 14059])).
% 16.42/11.23 tff(14182,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14183,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s173, c_n1) | (~node2(s173)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14184,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s173, c_n1) | (~node2(s173))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14183, 14182])).
% 16.42/11.23 tff(14185,plain,
% 16.42/11.23 (~node2(s173)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14184, 787, 14181])).
% 16.42/11.23 tff(14186,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14187,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s173, c_t2) | (~node1(s173)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14188,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s173, c_t2) | (~node1(s173))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14187, 14186])).
% 16.42/11.23 tff(14189,plain,
% 16.42/11.23 (~node1(s173)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14188, 195, 14106])).
% 16.42/11.23 tff(14190,plain,
% 16.42/11.23 (((~![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))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14191,plain,
% 16.42/11.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s173, s174)) | node7(s173, s174))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14192,plain,
% 16.42/11.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s173, s174)) | node7(s173, s174)),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14191, 14190])).
% 16.42/11.23 tff(14193,plain,
% 16.42/11.23 (node7(s173, s174)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14192, 206, 14117])).
% 16.42/11.23 tff(14194,plain,
% 16.42/11.23 (((~![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(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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14195,plain,
% 16.42/11.23 (((~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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14196,plain,
% 16.42/11.23 (((~![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(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))))),
% 16.42/11.23 inference(monotonicity,[status(thm)],[14195])).
% 16.42/11.23 tff(14197,plain,
% 16.42/11.23 (((~![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(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)))),
% 16.42/11.23 inference(transitivity,[status(thm)],[14196, 14194])).
% 16.42/11.23 tff(14198,plain,
% 16.42/11.23 ((~![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(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))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14199,plain,
% 16.42/11.23 ((~![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(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))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14198, 14197])).
% 16.42/11.23 tff(14200,plain,
% 16.42/11.23 ((~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)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14199, 892, 14193])).
% 16.42/11.23 tff(14201,plain,
% 16.42/11.23 (m_main_v_state1(s174, c_c1)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14200, 14189, 14102, 14066, 14185, 14174])).
% 16.42/11.23 tff(14202,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14203,plain,
% 16.42/11.23 ((~![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)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14204,plain,
% 16.42/11.23 ((~![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))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14203, 14202])).
% 16.42/11.23 tff(14205,plain,
% 16.42/11.23 (~m_main_v_state1(s174, c_n1)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14204, 454, 14201])).
% 16.42/11.23 tff(14206,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14207,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s174, c_n1) | (~node11(s174)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14208,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s174, c_n1) | (~node11(s174))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14207, 14206])).
% 16.42/11.23 tff(14209,plain,
% 16.42/11.23 (~node11(s174)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14208, 238, 14205])).
% 16.42/11.23 tff(14210,plain,
% 16.42/11.23 (succ(s174, s175) <=> succ(s174, s175)),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14211,axiom,(succ(s174, s175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound175')).
% 16.42/11.23 tff(14212,plain,
% 16.42/11.23 (succ(s174, s175)),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14211, 14210])).
% 16.42/11.23 tff(14213,plain,
% 16.42/11.23 (((~![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))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14214,plain,
% 16.42/11.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14215,plain,
% 16.42/11.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175)),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14214, 14213])).
% 16.42/11.23 tff(14216,plain,
% 16.42/11.23 (trans(s174, s175)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14215, 14212, 32])).
% 16.42/11.23 tff(14217,plain,
% 16.42/11.23 (((~![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))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14218,plain,
% 16.42/11.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s174, s175)) | node14(s174, s175))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14219,plain,
% 16.42/11.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s174, s175)) | node14(s174, s175)),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14218, 14217])).
% 16.42/11.23 tff(14220,plain,
% 16.42/11.23 (node14(s174, s175)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14219, 46, 14216])).
% 16.42/11.23 tff(14221,plain,
% 16.42/11.23 (((~![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(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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14222,plain,
% 16.42/11.23 ((~![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(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14223,plain,
% 16.42/11.23 ((~![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(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14222, 14221])).
% 16.42/11.23 tff(14224,plain,
% 16.42/11.23 (m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14223, 296, 14220])).
% 16.42/11.23 tff(14225,plain,
% 16.42/11.23 (node13(s174, s175)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14224, 14209, 14166, 14162, 14158, 14154, 14137])).
% 16.42/11.23 tff(14226,plain,
% 16.42/11.23 (((~![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(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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14227,plain,
% 16.42/11.23 (((~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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14228,plain,
% 16.42/11.23 (((~![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))))),
% 16.42/11.23 inference(monotonicity,[status(thm)],[14227])).
% 16.42/11.23 tff(14229,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(transitivity,[status(thm)],[14228, 14226])).
% 16.42/11.23 tff(14230,plain,
% 16.42/11.23 ((~![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)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14231,plain,
% 16.42/11.23 ((~![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(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 16.42/11.23 tff(14232,plain,
% 16.42/11.23 (~m_main_v_state2(s175, c_n2)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14231, 311, 14150, 14225])).
% 16.42/11.23 tff(14233,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14234,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s175, c_n2) | (~node9(s175)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14235,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s175, c_n2) | (~node9(s175))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14234, 14233])).
% 16.42/11.23 tff(14236,plain,
% 16.42/11.23 (~node9(s175)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14235, 88, 14232])).
% 16.42/11.23 tff(14237,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14238,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s175, c_n2) | (~node10(s175)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14239,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s175, c_n2) | (~node10(s175))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14238, 14237])).
% 16.42/11.23 tff(14240,plain,
% 16.42/11.23 (~node10(s175)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14239, 249, 14232])).
% 16.42/11.23 tff(14241,plain,
% 16.42/11.23 (((~![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(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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14242,plain,
% 16.42/11.23 (((~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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14243,plain,
% 16.42/11.23 (((~![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))))),
% 16.42/11.23 inference(monotonicity,[status(thm)],[14242])).
% 16.42/11.23 tff(14244,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(transitivity,[status(thm)],[14243, 14241])).
% 16.42/11.23 tff(14245,plain,
% 16.42/11.23 ((~![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))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14246,plain,
% 16.42/11.23 ((~![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(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14245, 14244])).
% 16.42/11.23 tff(14247,plain,
% 16.42/11.23 (m_main_v_state2(s175, c_t2)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14246, 518, 14146, 14225])).
% 16.42/11.23 tff(14248,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14249,plain,
% 16.42/11.23 ((~![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)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14250,plain,
% 16.42/11.23 ((~![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))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14249, 14248])).
% 16.42/11.23 tff(14251,plain,
% 16.42/11.23 (~m_main_v_state1(s174, c_t1)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14250, 539, 14201])).
% 16.42/11.23 tff(14252,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14253,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s174, c_t1) | (~node5(s174)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14254,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s174, c_t1) | (~node5(s174))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14253, 14252])).
% 16.42/11.23 tff(14255,plain,
% 16.42/11.23 (~node5(s174)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14254, 550, 14251])).
% 16.42/11.23 tff(14256,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14257,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s174, c_n2) | (~node4(s174)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14258,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s174, c_n2) | (~node4(s174))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14257, 14256])).
% 16.42/11.23 tff(14259,plain,
% 16.42/11.23 (~node4(s174)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14258, 388, 14150])).
% 16.42/11.23 tff(14260,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14261,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s174, c_c2) | (~node3(s174)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14262,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s174, c_c2) | (~node3(s174))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14261, 14260])).
% 16.42/11.23 tff(14263,plain,
% 16.42/11.23 (~node3(s174)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14262, 399, 14166])).
% 16.42/11.23 tff(14264,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14265,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s174, c_n2) | (~node2(s174)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14266,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s174, c_n2) | (~node2(s174))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14265, 14264])).
% 16.42/11.23 tff(14267,plain,
% 16.42/11.23 (~node2(s174)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14266, 410, 14150])).
% 16.42/11.23 tff(14268,plain,
% 16.42/11.23 (((~![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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14269,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s174, c_n1) | (~node1(s174)))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14270,plain,
% 16.42/11.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s174, c_n1) | (~node1(s174))),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 16.42/11.23 tff(14271,plain,
% 16.42/11.23 (~node1(s174)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14270, 421, 14205])).
% 16.42/11.23 tff(14272,plain,
% 16.42/11.23 (((~![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))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14273,plain,
% 16.42/11.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s174, s175)) | node7(s174, s175))),
% 16.42/11.23 inference(quant_inst,[status(thm)],[])).
% 16.42/11.23 tff(14274,plain,
% 16.42/11.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s174, s175)) | node7(s174, s175)),
% 16.42/11.23 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 16.42/11.23 tff(14275,plain,
% 16.42/11.23 (node7(s174, s175)),
% 16.42/11.23 inference(unit_resolution,[status(thm)],[14274, 206, 14216])).
% 16.42/11.23 tff(14276,plain,
% 16.42/11.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14277,plain,
% 16.42/11.23 (((~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)))),
% 16.42/11.23 inference(rewrite,[status(thm)],[])).
% 16.42/11.23 tff(14278,plain,
% 16.42/11.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 16.42/11.23 inference(monotonicity,[status(thm)],[14277])).
% 16.42/11.23 tff(14279,plain,
% 16.42/11.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 16.42/11.23 inference(transitivity,[status(thm)],[14278, 14276])).
% 16.42/11.23 tff(14280,plain,
% 16.42/11.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14281,plain,
% 16.42/11.24 ((~![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(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14280, 14279])).
% 16.42/11.24 tff(14282,plain,
% 16.42/11.24 (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14281, 584, 14275])).
% 16.42/11.24 tff(14283,plain,
% 16.42/11.24 (m_main_v_state1(s175, c_n1)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14282, 14271, 14201, 14267, 14263, 14259, 14255])).
% 16.42/11.24 tff(14284,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14285,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s175, c_n2) | (~node8(s175)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14286,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s175, c_n2) | (~node8(s175))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14285, 14284])).
% 16.42/11.24 tff(14287,plain,
% 16.42/11.24 (~node8(s175)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14286, 271, 14232])).
% 16.42/11.24 tff(14288,plain,
% 16.42/11.24 (succ(s175, s176) <=> succ(s175, s176)),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14289,axiom,(succ(s175, s176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound176')).
% 16.42/11.24 tff(14290,plain,
% 16.42/11.24 (succ(s175, s176)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14289, 14288])).
% 16.42/11.24 tff(14291,plain,
% 16.42/11.24 (((~![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))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14292,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14293,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14292, 14291])).
% 16.42/11.24 tff(14294,plain,
% 16.42/11.24 (trans(s175, s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14293, 14290, 32])).
% 16.42/11.24 tff(14295,plain,
% 16.42/11.24 (((~![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))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14296,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s175, s176)) | node14(s175, s176))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14297,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s175, s176)) | node14(s175, s176)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14296, 14295])).
% 16.42/11.24 tff(14298,plain,
% 16.42/11.24 (node14(s175, s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14297, 46, 14294])).
% 16.42/11.24 tff(14299,plain,
% 16.42/11.24 (((~![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(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))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14300,plain,
% 16.42/11.24 ((~![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(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))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14301,plain,
% 16.42/11.24 ((~![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(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)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14300, 14299])).
% 16.42/11.24 tff(14302,plain,
% 16.42/11.24 ((~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)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14301, 617, 14298])).
% 16.42/11.24 tff(14303,plain,
% 16.42/11.24 (m_main_v_state2(s176, c_c2)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14302, 14287, 14283, 14247, 14240, 14236])).
% 16.42/11.24 tff(14304,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14305,plain,
% 16.42/11.24 ((~![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)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14306,plain,
% 16.42/11.24 ((~![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))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14305, 14304])).
% 16.42/11.24 tff(14307,plain,
% 16.42/11.24 (~m_main_v_state2(s176, c_t2)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14306, 260, 14303])).
% 16.42/11.24 tff(14308,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14309,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s176, c_t2) | (~node12(s176)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14310,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s176, c_t2) | (~node12(s176))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14309, 14308])).
% 16.42/11.24 tff(14311,plain,
% 16.42/11.24 (~node12(s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14310, 633, 14307])).
% 16.42/11.24 tff(14312,plain,
% 16.42/11.24 (((~![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))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14313,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s175, s176)) | node7(s175, s176))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14314,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s175, s176)) | node7(s175, s176)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14313, 14312])).
% 16.42/11.24 tff(14315,plain,
% 16.42/11.24 (node7(s175, s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14314, 206, 14294])).
% 16.42/11.24 tff(14316,plain,
% 16.42/11.24 (((~![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(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))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14317,plain,
% 16.42/11.24 ((~![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(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14318,plain,
% 16.42/11.24 ((~![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(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14317, 14316])).
% 16.42/11.24 tff(14319,plain,
% 16.42/11.24 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | m_main_v_state1(s176, c_t1)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14318, 651, 14315])).
% 16.42/11.24 tff(14320,plain,
% 16.42/11.24 (m_main_v_state1(s176, c_t1)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14319, 14247, 14283])).
% 16.42/11.24 tff(14321,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14322,plain,
% 16.42/11.24 ((~![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)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14323,plain,
% 16.42/11.24 ((~![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))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 16.42/11.24 tff(14324,plain,
% 16.42/11.24 (~m_main_v_state1(s176, c_n1)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14323, 10, 14320])).
% 16.42/11.24 tff(14325,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14326,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s176, c_n1) | (~node11(s176)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14327,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s176, c_n1) | (~node11(s176))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 16.42/11.24 tff(14328,plain,
% 16.42/11.24 (~node11(s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14327, 238, 14324])).
% 16.42/11.24 tff(14329,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14330,plain,
% 16.42/11.24 ((~![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)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14331,plain,
% 16.42/11.24 ((~![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))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14330, 14329])).
% 16.42/11.24 tff(14332,plain,
% 16.42/11.24 (~m_main_v_state1(s176, c_c1)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14331, 539, 14320])).
% 16.42/11.24 tff(14333,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14334,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s176, c_c1) | (~node10(s176)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14335,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s176, c_c1) | (~node10(s176))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14334, 14333])).
% 16.42/11.24 tff(14336,plain,
% 16.42/11.24 (~node10(s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14335, 675, 14332])).
% 16.42/11.24 tff(14337,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14338,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s176, c_n1) | (~node9(s176)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14339,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s176, c_n1) | (~node9(s176))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 16.42/11.24 tff(14340,plain,
% 16.42/11.24 (~node9(s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14339, 686, 14324])).
% 16.42/11.24 tff(14341,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14342,plain,
% 16.42/11.24 ((~![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)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14343,plain,
% 16.42/11.24 ((~![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))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14342, 14341])).
% 16.42/11.24 tff(14344,plain,
% 16.42/11.24 (~m_main_v_state2(s176, c_n2)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14343, 697, 14303])).
% 16.42/11.24 tff(14345,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14346,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s176, c_n2) | (~node8(s176)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14347,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s176, c_n2) | (~node8(s176))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 16.42/11.24 tff(14348,plain,
% 16.42/11.24 (~node8(s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14347, 271, 14344])).
% 16.42/11.24 tff(14349,plain,
% 16.42/11.24 (succ(s176, s177) <=> succ(s176, s177)),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14350,axiom,(succ(s176, s177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound177')).
% 16.42/11.24 tff(14351,plain,
% 16.42/11.24 (succ(s176, s177)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14350, 14349])).
% 16.42/11.24 tff(14352,plain,
% 16.42/11.24 (((~![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))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14353,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14354,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14353, 14352])).
% 16.42/11.24 tff(14355,plain,
% 16.42/11.24 (trans(s176, s177)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14354, 14351, 32])).
% 16.42/11.24 tff(14356,plain,
% 16.42/11.24 (((~![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))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14357,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s176, s177)) | node14(s176, s177))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14358,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s176, s177)) | node14(s176, s177)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14357, 14356])).
% 16.42/11.24 tff(14359,plain,
% 16.42/11.24 (node14(s176, s177)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14358, 46, 14355])).
% 16.42/11.24 tff(14360,plain,
% 16.42/11.24 (((~![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(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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14361,plain,
% 16.42/11.24 (((~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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14362,plain,
% 16.42/11.24 (((~![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(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))))),
% 16.42/11.24 inference(monotonicity,[status(thm)],[14361])).
% 16.42/11.24 tff(14363,plain,
% 16.42/11.24 (((~![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(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)))),
% 16.42/11.24 inference(transitivity,[status(thm)],[14362, 14360])).
% 16.42/11.24 tff(14364,plain,
% 16.42/11.24 ((~![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(s176, c_c2)) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | m_main_v_state2(s177, c_n2))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14365,plain,
% 16.42/11.24 ((~![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(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14364, 14363])).
% 16.42/11.24 tff(14366,plain,
% 16.42/11.24 (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~m_main_v_state2(s176, c_c2))),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14365, 726, 14359])).
% 16.42/11.24 tff(14367,plain,
% 16.42/11.24 (m_main_v_state2(s177, c_n2)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14366, 14348, 14303, 14340, 14336, 14328, 14311])).
% 16.42/11.24 tff(14368,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14369,plain,
% 16.42/11.24 ((~![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)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14370,plain,
% 16.42/11.24 ((~![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))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14369, 14368])).
% 16.42/11.24 tff(14371,plain,
% 16.42/11.24 (~m_main_v_state2(s177, c_c2)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14370, 697, 14367])).
% 16.42/11.24 tff(14372,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14373,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s177, c_c2) | (~node3(s177)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14374,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s177, c_c2) | (~node3(s177))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14373, 14372])).
% 16.42/11.24 tff(14375,plain,
% 16.42/11.24 (~node3(s177)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14374, 399, 14371])).
% 16.42/11.24 tff(14376,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14377,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s176, c_n1) | (~node1(s176)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14378,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s176, c_n1) | (~node1(s176))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14377, 14376])).
% 16.42/11.24 tff(14379,plain,
% 16.42/11.24 (~node1(s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14378, 421, 14324])).
% 16.42/11.24 tff(14380,plain,
% 16.42/11.24 (((~![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))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14381,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s175, s176)) | node18(s175, s176))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14382,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s175, s176)) | node18(s175, s176)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14381, 14380])).
% 16.42/11.24 tff(14383,plain,
% 16.42/11.24 (node18(s175, s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14382, 125, 14294])).
% 16.42/11.24 tff(14384,plain,
% 16.42/11.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14385,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14386,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14385, 14384])).
% 16.42/11.24 tff(14387,plain,
% 16.42/11.24 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | m_main_v_turn(s176, c_2)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14386, 760, 14383])).
% 16.42/11.24 tff(14388,plain,
% 16.42/11.24 (m_main_v_turn(s176, c_2)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14387, 14247, 14283])).
% 16.42/11.24 tff(14389,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14390,plain,
% 16.42/11.24 ((~![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)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14391,plain,
% 16.42/11.24 ((~![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))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14390, 14389])).
% 16.42/11.24 tff(14392,plain,
% 16.42/11.24 (~m_main_v_turn(s176, c_1)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14391, 156, 14388])).
% 16.42/11.24 tff(14393,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14394,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s176, c_1) | (~node5(s176)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14395,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s176, c_1) | (~node5(s176))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14394, 14393])).
% 16.42/11.24 tff(14396,plain,
% 16.42/11.24 (~node5(s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14395, 776, 14392])).
% 16.42/11.24 tff(14397,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14398,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s176, c_n1) | (~node2(s176)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14399,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s176, c_n1) | (~node2(s176))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14398, 14397])).
% 16.42/11.24 tff(14400,plain,
% 16.42/11.24 (~node2(s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14399, 787, 14324])).
% 16.42/11.24 tff(14401,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14402,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s176, c_n1) | (~node3(s176)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14403,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s176, c_n1) | (~node3(s176))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14402, 14401])).
% 16.42/11.24 tff(14404,plain,
% 16.42/11.24 (~node3(s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14403, 798, 14324])).
% 16.42/11.24 tff(14405,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14406,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s176, c_n2) | (~node4(s176)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14407,plain,
% 16.42/11.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s176, c_n2) | (~node4(s176))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14406, 14405])).
% 16.42/11.24 tff(14408,plain,
% 16.42/11.24 (~node4(s176)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14407, 388, 14344])).
% 16.42/11.24 tff(14409,plain,
% 16.42/11.24 (((~![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))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14410,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s176, s177)) | node7(s176, s177))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14411,plain,
% 16.42/11.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s176, s177)) | node7(s176, s177)),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14410, 14409])).
% 16.42/11.24 tff(14412,plain,
% 16.42/11.24 (node7(s176, s177)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14411, 206, 14355])).
% 16.42/11.24 tff(14413,plain,
% 16.42/11.24 (((~![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(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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14414,plain,
% 16.42/11.24 ((~![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(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177)))),
% 16.42/11.24 inference(quant_inst,[status(thm)],[])).
% 16.42/11.24 tff(14415,plain,
% 16.42/11.24 ((~![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(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177))),
% 16.42/11.24 inference(modus_ponens,[status(thm)],[14414, 14413])).
% 16.42/11.24 tff(14416,plain,
% 16.42/11.24 (m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14415, 820, 14412])).
% 16.42/11.24 tff(14417,plain,
% 16.42/11.24 (node6(s176, s177)),
% 16.42/11.24 inference(unit_resolution,[status(thm)],[14416, 14408, 14332, 14404, 14400, 14396, 14379])).
% 16.42/11.24 tff(14418,plain,
% 16.42/11.24 (((~![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(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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14419,plain,
% 16.42/11.24 (((~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)))),
% 16.42/11.24 inference(rewrite,[status(thm)],[])).
% 16.42/11.24 tff(14420,plain,
% 16.42/11.24 (((~![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))))),
% 16.42/11.24 inference(monotonicity,[status(thm)],[14419])).
% 16.42/11.24 tff(14421,plain,
% 16.42/11.24 (((~![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)))),
% 16.42/11.24 inference(transitivity,[status(thm)],[14420, 14418])).
% 16.42/11.24 tff(14422,plain,
% 16.42/11.25 ((~![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)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14423,plain,
% 16.42/11.25 ((~![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(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14422, 14421])).
% 16.42/11.25 tff(14424,plain,
% 16.42/11.25 (~m_main_v_state1(s177, c_n1)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14423, 835, 14324, 14417])).
% 16.42/11.25 tff(14425,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14426,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s177, c_n1) | (~node2(s177)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14427,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s177, c_n1) | (~node2(s177))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 16.42/11.25 tff(14428,plain,
% 16.42/11.25 (~node2(s177)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14427, 787, 14424])).
% 16.42/11.25 tff(14429,plain,
% 16.42/11.25 (((~![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(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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14430,plain,
% 16.42/11.25 (((~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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14431,plain,
% 16.42/11.25 (((~![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))))),
% 16.42/11.25 inference(monotonicity,[status(thm)],[14430])).
% 16.42/11.25 tff(14432,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(transitivity,[status(thm)],[14431, 14429])).
% 16.42/11.25 tff(14433,plain,
% 16.42/11.25 ((~![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))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14434,plain,
% 16.42/11.25 ((~![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(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14433, 14432])).
% 16.42/11.25 tff(14435,plain,
% 16.42/11.25 (m_main_v_state1(s177, c_t1)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14434, 856, 14320, 14417])).
% 16.42/11.25 tff(14436,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14437,plain,
% 16.42/11.25 ((~![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)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14438,plain,
% 16.42/11.25 ((~![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))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 16.42/11.25 tff(14439,plain,
% 16.42/11.25 (~m_main_v_state2(s177, c_t2)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14438, 77, 14367])).
% 16.42/11.25 tff(14440,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14441,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s177, c_t2) | (~node1(s177)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14442,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s177, c_t2) | (~node1(s177))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14441, 14440])).
% 16.42/11.25 tff(14443,plain,
% 16.42/11.25 (~node1(s177)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14442, 195, 14439])).
% 16.42/11.25 tff(14444,plain,
% 16.42/11.25 (succ(s177, s178) <=> succ(s177, s178)),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14445,axiom,(succ(s177, s178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound178')).
% 16.42/11.25 tff(14446,plain,
% 16.42/11.25 (succ(s177, s178)),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14445, 14444])).
% 16.42/11.25 tff(14447,plain,
% 16.42/11.25 (((~![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))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14448,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14449,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178)),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14448, 14447])).
% 16.42/11.25 tff(14450,plain,
% 16.42/11.25 (trans(s177, s178)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14449, 14446, 32])).
% 16.42/11.25 tff(14451,plain,
% 16.42/11.25 (((~![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))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14452,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s177, s178)) | node7(s177, s178))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14453,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s177, s178)) | node7(s177, s178)),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14452, 14451])).
% 16.42/11.25 tff(14454,plain,
% 16.42/11.25 (node7(s177, s178)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14453, 206, 14450])).
% 16.42/11.25 tff(14455,plain,
% 16.42/11.25 (((~![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(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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14456,plain,
% 16.42/11.25 (((~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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14457,plain,
% 16.42/11.25 (((~![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(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))))),
% 16.42/11.25 inference(monotonicity,[status(thm)],[14456])).
% 16.42/11.25 tff(14458,plain,
% 16.42/11.25 (((~![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(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)))),
% 16.42/11.25 inference(transitivity,[status(thm)],[14457, 14455])).
% 16.42/11.25 tff(14459,plain,
% 16.42/11.25 ((~![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(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))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14460,plain,
% 16.42/11.25 ((~![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(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))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14459, 14458])).
% 16.42/11.25 tff(14461,plain,
% 16.42/11.25 ((~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)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14460, 892, 14454])).
% 16.42/11.25 tff(14462,plain,
% 16.42/11.25 (m_main_v_state1(s178, c_c1)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14461, 14443, 14367, 14435, 14428, 14375])).
% 16.42/11.25 tff(14463,plain,
% 16.42/11.25 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s178)) | (~m_main_v_state1(s178, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s178)) | (~m_main_v_state1(s178, c_c1)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14464,plain,
% 16.42/11.25 (((~m_main_v_state1(s178, c_c1)) | (~always19(s178))) <=> ((~always19(s178)) | (~m_main_v_state1(s178, c_c1)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14465,plain,
% 16.42/11.25 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s178, c_c1)) | (~always19(s178)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s178)) | (~m_main_v_state1(s178, c_c1))))),
% 16.42/11.25 inference(monotonicity,[status(thm)],[14464])).
% 16.42/11.25 tff(14466,plain,
% 16.42/11.25 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s178, c_c1)) | (~always19(s178)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s178)) | (~m_main_v_state1(s178, c_c1)))),
% 16.42/11.25 inference(transitivity,[status(thm)],[14465, 14463])).
% 16.42/11.25 tff(14467,plain,
% 16.42/11.25 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s178, c_c1)) | (~always19(s178)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14468,plain,
% 16.42/11.25 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s178)) | (~m_main_v_state1(s178, c_c1))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14467, 14466])).
% 16.42/11.25 tff(14469,plain,
% 16.42/11.25 (~always19(s178)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14468, 7835, 14462])).
% 16.42/11.25 tff(14470,plain,
% 16.42/11.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s177, s178)) | (~always19(s177)) | always19(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s177, s178)) | (~always19(s177)) | always19(s178))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14471,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s177, s178)) | (~always19(s177)) | always19(s178))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14472,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s177, s178)) | (~always19(s177)) | always19(s178)),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14471, 14470])).
% 16.42/11.25 tff(14473,plain,
% 16.42/11.25 ((~always19(s177)) | always19(s178)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14472, 7852, 14450])).
% 16.42/11.25 tff(14474,plain,
% 16.42/11.25 (~always19(s177)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14473, 14469])).
% 16.42/11.25 tff(14475,assumption,(trans(s464, s177)), introduced(assumption)).
% 16.42/11.25 tff(14476,plain,
% 16.42/11.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s177) | (~trans(s464, s177)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s177) | (~trans(s464, s177)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14477,plain,
% 16.42/11.25 (((~trans(s464, s177)) | (~always19(s464)) | always19(s177)) <=> ((~always19(s464)) | always19(s177) | (~trans(s464, s177)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14478,plain,
% 16.42/11.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s177)) | (~always19(s464)) | always19(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s177) | (~trans(s464, s177))))),
% 16.42/11.25 inference(monotonicity,[status(thm)],[14477])).
% 16.42/11.25 tff(14479,plain,
% 16.42/11.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s177)) | (~always19(s464)) | always19(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s177) | (~trans(s464, s177)))),
% 16.42/11.25 inference(transitivity,[status(thm)],[14478, 14476])).
% 16.42/11.25 tff(14480,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s177)) | (~always19(s464)) | always19(s177))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14481,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s177) | (~trans(s464, s177))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14480, 14479])).
% 16.42/11.25 tff(14482,plain,
% 16.42/11.25 ($false),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14481, 14475, 7852, 7868, 14474])).
% 16.42/11.25 tff(14483,plain,((~trans(s464, s177)) | (~always19(s464))), inference(lemma,lemma(discharge,[]))).
% 16.42/11.25 tff(14484,plain,
% 16.42/11.25 (~trans(s464, s177)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14483, 7868])).
% 16.42/11.25 tff(14485,plain,
% 16.42/11.25 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s114)) | (~m_main_v_state1(s114, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s114)) | (~m_main_v_state1(s114, c_c1)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14486,plain,
% 16.42/11.25 (((~m_main_v_state1(s114, c_c1)) | (~always19(s114))) <=> ((~always19(s114)) | (~m_main_v_state1(s114, c_c1)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14487,plain,
% 16.42/11.25 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s114, c_c1)) | (~always19(s114)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s114)) | (~m_main_v_state1(s114, c_c1))))),
% 16.42/11.25 inference(monotonicity,[status(thm)],[14486])).
% 16.42/11.25 tff(14488,plain,
% 16.42/11.25 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s114, c_c1)) | (~always19(s114)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s114)) | (~m_main_v_state1(s114, c_c1)))),
% 16.42/11.25 inference(transitivity,[status(thm)],[14487, 14485])).
% 16.42/11.25 tff(14489,plain,
% 16.42/11.25 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s114, c_c1)) | (~always19(s114)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14490,plain,
% 16.42/11.25 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s114)) | (~m_main_v_state1(s114, c_c1))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14489, 14488])).
% 16.42/11.25 tff(14491,plain,
% 16.42/11.25 (~always19(s114)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14490, 7835, 9438])).
% 16.42/11.25 tff(14492,plain,
% 16.42/11.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s113, s114)) | (~always19(s113)) | always19(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s113, s114)) | (~always19(s113)) | always19(s114))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14493,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s113, s114)) | (~always19(s113)) | always19(s114))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14494,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s113, s114)) | (~always19(s113)) | always19(s114)),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14493, 14492])).
% 16.42/11.25 tff(14495,plain,
% 16.42/11.25 ((~always19(s113)) | always19(s114)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14494, 7852, 9426])).
% 16.42/11.25 tff(14496,plain,
% 16.42/11.25 (~always19(s113)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14495, 14491])).
% 16.42/11.25 tff(14497,assumption,(trans(s464, s113)), introduced(assumption)).
% 16.42/11.25 tff(14498,plain,
% 16.42/11.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s113) | (~trans(s464, s113)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s113) | (~trans(s464, s113)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14499,plain,
% 16.42/11.25 (((~trans(s464, s113)) | (~always19(s464)) | always19(s113)) <=> ((~always19(s464)) | always19(s113) | (~trans(s464, s113)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14500,plain,
% 16.42/11.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s113)) | (~always19(s464)) | always19(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s113) | (~trans(s464, s113))))),
% 16.42/11.25 inference(monotonicity,[status(thm)],[14499])).
% 16.42/11.25 tff(14501,plain,
% 16.42/11.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s113)) | (~always19(s464)) | always19(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s113) | (~trans(s464, s113)))),
% 16.42/11.25 inference(transitivity,[status(thm)],[14500, 14498])).
% 16.42/11.25 tff(14502,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s113)) | (~always19(s464)) | always19(s113))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14503,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s113) | (~trans(s464, s113))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14502, 14501])).
% 16.42/11.25 tff(14504,plain,
% 16.42/11.25 ($false),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14503, 14497, 7852, 7868, 14496])).
% 16.42/11.25 tff(14505,plain,((~trans(s464, s113)) | (~always19(s464))), inference(lemma,lemma(discharge,[]))).
% 16.42/11.25 tff(14506,plain,
% 16.42/11.25 (~trans(s464, s113)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14505, 7868])).
% 16.42/11.25 tff(14507,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14508,plain,
% 16.42/11.25 ((~![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)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14509,plain,
% 16.42/11.25 ((~![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))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14508, 14507])).
% 16.42/11.25 tff(14510,plain,
% 16.42/11.25 (~m_main_v_state1(s178, c_t1)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14509, 539, 14462])).
% 16.42/11.25 tff(14511,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14512,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s178, c_t1) | (~node5(s178)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14513,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s178, c_t1) | (~node5(s178))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 16.42/11.25 tff(14514,plain,
% 16.42/11.25 (~node5(s178)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14513, 550, 14510])).
% 16.42/11.25 tff(14515,plain,
% 16.42/11.25 (((~![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))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14516,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s177, s178)) | node14(s177, s178))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14517,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s177, s178)) | node14(s177, s178)),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14516, 14515])).
% 16.42/11.25 tff(14518,plain,
% 16.42/11.25 (node14(s177, s178)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14517, 46, 14450])).
% 16.42/11.25 tff(14519,plain,
% 16.42/11.25 (((~![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(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))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14520,plain,
% 16.42/11.25 ((~![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(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14521,plain,
% 16.42/11.25 ((~![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(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2)),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14520, 14519])).
% 16.42/11.25 tff(14522,plain,
% 16.42/11.25 ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state2(s178, c_t2)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14521, 922, 14518])).
% 16.42/11.25 tff(14523,plain,
% 16.42/11.25 (m_main_v_state2(s178, c_t2)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14522, 14435, 14367])).
% 16.42/11.25 tff(14524,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14525,plain,
% 16.42/11.25 ((~![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)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14526,plain,
% 16.42/11.25 ((~![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))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14525, 14524])).
% 16.42/11.25 tff(14527,plain,
% 16.42/11.25 (~m_main_v_state2(s178, c_n2)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14526, 77, 14523])).
% 16.42/11.25 tff(14528,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14529,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s178, c_n2) | (~node4(s178)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14530,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s178, c_n2) | (~node4(s178))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14529, 14528])).
% 16.42/11.25 tff(14531,plain,
% 16.42/11.25 (~node4(s178)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14530, 388, 14527])).
% 16.42/11.25 tff(14532,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14533,plain,
% 16.42/11.25 ((~![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)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14534,plain,
% 16.42/11.25 ((~![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))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14533, 14532])).
% 16.42/11.25 tff(14535,plain,
% 16.42/11.25 (~m_main_v_state2(s178, c_c2)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14534, 260, 14523])).
% 16.42/11.25 tff(14536,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14537,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s178, c_c2) | (~node3(s178)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14538,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s178, c_c2) | (~node3(s178))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14537, 14536])).
% 16.42/11.25 tff(14539,plain,
% 16.42/11.25 (~node3(s178)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14538, 399, 14535])).
% 16.42/11.25 tff(14540,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14541,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s178, c_n2) | (~node2(s178)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14542,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s178, c_n2) | (~node2(s178))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14541, 14540])).
% 16.42/11.25 tff(14543,plain,
% 16.42/11.25 (~node2(s178)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14542, 410, 14527])).
% 16.42/11.25 tff(14544,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14545,plain,
% 16.42/11.25 ((~![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)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14546,plain,
% 16.42/11.25 ((~![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))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14545, 14544])).
% 16.42/11.25 tff(14547,plain,
% 16.42/11.25 (~m_main_v_state1(s178, c_n1)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14546, 454, 14462])).
% 16.42/11.25 tff(14548,plain,
% 16.42/11.25 (((~![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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14549,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s178, c_n1) | (~node1(s178)))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14550,plain,
% 16.42/11.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s178, c_n1) | (~node1(s178))),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14549, 14548])).
% 16.42/11.25 tff(14551,plain,
% 16.42/11.25 (~node1(s178)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14550, 421, 14547])).
% 16.42/11.25 tff(14552,plain,
% 16.42/11.25 (succ(s178, s179) <=> succ(s178, s179)),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14553,axiom,(succ(s178, s179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound179')).
% 16.42/11.25 tff(14554,plain,
% 16.42/11.25 (succ(s178, s179)),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14553, 14552])).
% 16.42/11.25 tff(14555,plain,
% 16.42/11.25 (((~![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))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14556,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14557,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179)),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14556, 14555])).
% 16.42/11.25 tff(14558,plain,
% 16.42/11.25 (trans(s178, s179)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14557, 14554, 32])).
% 16.42/11.25 tff(14559,plain,
% 16.42/11.25 (((~![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))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14560,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s178, s179)) | node7(s178, s179))),
% 16.42/11.25 inference(quant_inst,[status(thm)],[])).
% 16.42/11.25 tff(14561,plain,
% 16.42/11.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s178, s179)) | node7(s178, s179)),
% 16.42/11.25 inference(modus_ponens,[status(thm)],[14560, 14559])).
% 16.42/11.25 tff(14562,plain,
% 16.42/11.25 (node7(s178, s179)),
% 16.42/11.25 inference(unit_resolution,[status(thm)],[14561, 206, 14558])).
% 16.42/11.25 tff(14563,plain,
% 16.42/11.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14564,plain,
% 16.42/11.25 (((~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)))),
% 16.42/11.25 inference(rewrite,[status(thm)],[])).
% 16.42/11.25 tff(14565,plain,
% 16.42/11.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 16.42/11.26 inference(monotonicity,[status(thm)],[14564])).
% 16.42/11.26 tff(14566,plain,
% 16.42/11.26 (((~![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(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)))),
% 16.42/11.26 inference(transitivity,[status(thm)],[14565, 14563])).
% 16.42/11.26 tff(14567,plain,
% 16.42/11.26 ((~![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(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14568,plain,
% 16.42/11.26 ((~![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(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14567, 14566])).
% 16.42/11.26 tff(14569,plain,
% 16.42/11.26 (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14568, 584, 14562])).
% 16.42/11.26 tff(14570,plain,
% 16.42/11.26 (m_main_v_state1(s179, c_n1)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14569, 14551, 14462, 14543, 14539, 14531, 14514])).
% 16.42/11.26 tff(14571,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14572,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s177, c_t2) | (~node15(s177)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14573,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s177, c_t2) | (~node15(s177))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14572, 14571])).
% 16.42/11.26 tff(14574,plain,
% 16.42/11.26 (~node15(s177)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14573, 103, 14439])).
% 16.42/11.26 tff(14575,plain,
% 16.42/11.26 (((~![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))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14576,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s177, s178)) | node18(s177, s178))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14577,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s177, s178)) | node18(s177, s178)),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14576, 14575])).
% 16.42/11.26 tff(14578,plain,
% 16.42/11.26 (node18(s177, s178)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14577, 125, 14450])).
% 16.42/11.26 tff(14579,plain,
% 16.42/11.26 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14580,plain,
% 16.42/11.26 (((~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))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14581,plain,
% 16.42/11.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 16.42/11.26 inference(monotonicity,[status(thm)],[14580])).
% 16.42/11.26 tff(14582,plain,
% 16.42/11.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.42/11.26 inference(transitivity,[status(thm)],[14581, 14579])).
% 16.42/11.26 tff(14583,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14584,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14583, 14582])).
% 16.42/11.26 tff(14585,plain,
% 16.42/11.26 (node15(s177) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14584, 992, 14578])).
% 16.42/11.26 tff(14586,plain,
% 16.42/11.26 (m_main_v_turn(s178, c_1)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14585, 14574, 14367, 14435])).
% 16.42/11.26 tff(14587,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14588,plain,
% 16.42/11.26 ((~![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)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14589,plain,
% 16.42/11.26 ((~![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))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14588, 14587])).
% 16.42/11.26 tff(14590,plain,
% 16.42/11.26 (~m_main_v_turn(s178, c_2)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14589, 156, 14586])).
% 16.42/11.26 tff(14591,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14592,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s178, c_2) | (~node12(s178)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14593,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s178, c_2) | (~node12(s178))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14592, 14591])).
% 16.42/11.26 tff(14594,plain,
% 16.42/11.26 (~node12(s178)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14593, 184, 14590])).
% 16.42/11.26 tff(14595,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14596,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s178, c_n2) | (~node8(s178)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14597,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s178, c_n2) | (~node8(s178))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14596, 14595])).
% 16.42/11.26 tff(14598,plain,
% 16.42/11.26 (~node8(s178)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14597, 271, 14527])).
% 16.42/11.26 tff(14599,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14600,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s178, c_n2) | (~node9(s178)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14601,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s178, c_n2) | (~node9(s178))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14600, 14599])).
% 16.42/11.26 tff(14602,plain,
% 16.42/11.26 (~node9(s178)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14601, 88, 14527])).
% 16.42/11.26 tff(14603,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14604,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s178, c_n2) | (~node10(s178)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14605,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s178, c_n2) | (~node10(s178))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14604, 14603])).
% 16.42/11.26 tff(14606,plain,
% 16.42/11.26 (~node10(s178)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14605, 249, 14527])).
% 16.42/11.26 tff(14607,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14608,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s178, c_n1) | (~node11(s178)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14609,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s178, c_n1) | (~node11(s178))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14608, 14607])).
% 16.42/11.26 tff(14610,plain,
% 16.42/11.26 (~node11(s178)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14609, 238, 14547])).
% 16.42/11.26 tff(14611,plain,
% 16.42/11.26 (((~![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))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14612,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s178, s179)) | node14(s178, s179))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14613,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s178, s179)) | node14(s178, s179)),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 16.42/11.26 tff(14614,plain,
% 16.42/11.26 (node14(s178, s179)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14613, 46, 14558])).
% 16.42/11.26 tff(14615,plain,
% 16.42/11.26 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14616,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14617,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14616, 14615])).
% 16.42/11.26 tff(14618,plain,
% 16.42/11.26 (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14617, 296, 14614])).
% 16.42/11.26 tff(14619,plain,
% 16.42/11.26 (node13(s178, s179)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14618, 14610, 14535, 14606, 14602, 14598, 14594])).
% 16.42/11.26 tff(14620,plain,
% 16.42/11.26 (((~![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(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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14621,plain,
% 16.42/11.26 (((~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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14622,plain,
% 16.42/11.26 (((~![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))))),
% 16.42/11.26 inference(monotonicity,[status(thm)],[14621])).
% 16.42/11.26 tff(14623,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(transitivity,[status(thm)],[14622, 14620])).
% 16.42/11.26 tff(14624,plain,
% 16.42/11.26 ((~![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))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14625,plain,
% 16.42/11.26 ((~![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(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14624, 14623])).
% 16.42/11.26 tff(14626,plain,
% 16.42/11.26 (m_main_v_state2(s179, c_t2)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14625, 518, 14523, 14619])).
% 16.42/11.26 tff(14627,plain,
% 16.42/11.26 (succ(s179, s180) <=> succ(s179, s180)),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14628,axiom,(succ(s179, s180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound180')).
% 16.42/11.26 tff(14629,plain,
% 16.42/11.26 (succ(s179, s180)),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14628, 14627])).
% 16.42/11.26 tff(14630,plain,
% 16.42/11.26 (((~![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))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14631,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14632,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180)),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14631, 14630])).
% 16.42/11.26 tff(14633,plain,
% 16.42/11.26 (trans(s179, s180)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14632, 14629, 32])).
% 16.42/11.26 tff(14634,plain,
% 16.42/11.26 (((~![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))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14635,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s179, s180)) | node7(s179, s180))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14636,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s179, s180)) | node7(s179, s180)),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14635, 14634])).
% 16.42/11.26 tff(14637,plain,
% 16.42/11.26 (node7(s179, s180)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14636, 206, 14633])).
% 16.42/11.26 tff(14638,plain,
% 16.42/11.26 (((~![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(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))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14639,plain,
% 16.42/11.26 ((~![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(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14640,plain,
% 16.42/11.26 ((~![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(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1)),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14639, 14638])).
% 16.42/11.26 tff(14641,plain,
% 16.42/11.26 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | m_main_v_state1(s180, c_t1)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14640, 651, 14637])).
% 16.42/11.26 tff(14642,plain,
% 16.42/11.26 (m_main_v_state1(s180, c_t1)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14641, 14626, 14570])).
% 16.42/11.26 tff(14643,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14644,plain,
% 16.42/11.26 ((~![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)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14645,plain,
% 16.42/11.26 ((~![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))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14644, 14643])).
% 16.42/11.26 tff(14646,plain,
% 16.42/11.26 (~m_main_v_state1(s180, c_n1)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14645, 10, 14642])).
% 16.42/11.26 tff(14647,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14648,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s180, c_n1) | (~node1(s180)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14649,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s180, c_n1) | (~node1(s180))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14648, 14647])).
% 16.42/11.26 tff(14650,plain,
% 16.42/11.26 (~node1(s180)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14649, 421, 14646])).
% 16.42/11.26 tff(14651,plain,
% 16.42/11.26 (((~![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))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14652,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s179, s180)) | node18(s179, s180))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14653,plain,
% 16.42/11.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s179, s180)) | node18(s179, s180)),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14652, 14651])).
% 16.42/11.26 tff(14654,plain,
% 16.42/11.26 (node18(s179, s180)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14653, 125, 14633])).
% 16.42/11.26 tff(14655,plain,
% 16.42/11.26 (((~![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(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))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14656,plain,
% 16.42/11.26 ((~![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(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14657,plain,
% 16.42/11.26 ((~![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(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2)),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14656, 14655])).
% 16.42/11.26 tff(14658,plain,
% 16.42/11.26 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | m_main_v_turn(s180, c_2)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14657, 760, 14654])).
% 16.42/11.26 tff(14659,plain,
% 16.42/11.26 (m_main_v_turn(s180, c_2)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14658, 14626, 14570])).
% 16.42/11.26 tff(14660,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14661,plain,
% 16.42/11.26 ((~![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)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14662,plain,
% 16.42/11.26 ((~![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))),
% 16.42/11.26 inference(modus_ponens,[status(thm)],[14661, 14660])).
% 16.42/11.26 tff(14663,plain,
% 16.42/11.26 (~m_main_v_turn(s180, c_1)),
% 16.42/11.26 inference(unit_resolution,[status(thm)],[14662, 156, 14659])).
% 16.42/11.26 tff(14664,plain,
% 16.42/11.26 (((~![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)))),
% 16.42/11.26 inference(rewrite,[status(thm)],[])).
% 16.42/11.26 tff(14665,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s180, c_1) | (~node5(s180)))),
% 16.42/11.26 inference(quant_inst,[status(thm)],[])).
% 16.42/11.26 tff(14666,plain,
% 16.42/11.26 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s180, c_1) | (~node5(s180))),
% 16.47/11.26 inference(modus_ponens,[status(thm)],[14665, 14664])).
% 16.47/11.26 tff(14667,plain,
% 16.47/11.26 (~node5(s180)),
% 16.47/11.26 inference(unit_resolution,[status(thm)],[14666, 776, 14663])).
% 16.47/11.26 tff(14668,plain,
% 16.47/11.26 (((~![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)))),
% 16.47/11.26 inference(rewrite,[status(thm)],[])).
% 16.47/11.26 tff(14669,plain,
% 16.47/11.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s180, c_n1) | (~node2(s180)))),
% 16.47/11.26 inference(quant_inst,[status(thm)],[])).
% 16.47/11.26 tff(14670,plain,
% 16.47/11.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s180, c_n1) | (~node2(s180))),
% 16.47/11.26 inference(modus_ponens,[status(thm)],[14669, 14668])).
% 16.47/11.26 tff(14671,plain,
% 16.47/11.26 (~node2(s180)),
% 16.47/11.26 inference(unit_resolution,[status(thm)],[14670, 787, 14646])).
% 16.47/11.26 tff(14672,plain,
% 16.47/11.26 (((~![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)))),
% 16.47/11.26 inference(rewrite,[status(thm)],[])).
% 16.47/11.26 tff(14673,plain,
% 16.47/11.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s180, c_n1) | (~node3(s180)))),
% 16.47/11.26 inference(quant_inst,[status(thm)],[])).
% 16.47/11.26 tff(14674,plain,
% 16.47/11.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s180, c_n1) | (~node3(s180))),
% 16.47/11.26 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 16.47/11.26 tff(14675,plain,
% 16.47/11.26 (~node3(s180)),
% 16.47/11.26 inference(unit_resolution,[status(thm)],[14674, 798, 14646])).
% 16.47/11.26 tff(14676,plain,
% 16.47/11.26 (((~![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)))),
% 16.47/11.26 inference(rewrite,[status(thm)],[])).
% 16.47/11.26 tff(14677,plain,
% 16.47/11.26 ((~![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)))),
% 16.47/11.26 inference(quant_inst,[status(thm)],[])).
% 16.47/11.26 tff(14678,plain,
% 16.47/11.26 ((~![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))),
% 16.47/11.26 inference(modus_ponens,[status(thm)],[14677, 14676])).
% 16.47/11.26 tff(14679,plain,
% 16.47/11.26 (~m_main_v_state1(s180, c_c1)),
% 16.47/11.26 inference(unit_resolution,[status(thm)],[14678, 539, 14642])).
% 16.47/11.26 tff(14680,plain,
% 16.47/11.26 (((~![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(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)))),
% 16.47/11.26 inference(rewrite,[status(thm)],[])).
% 16.47/11.26 tff(14681,plain,
% 16.47/11.26 (((~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)))),
% 16.47/11.26 inference(rewrite,[status(thm)],[])).
% 16.47/11.26 tff(14682,plain,
% 16.47/11.26 (((~![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))))),
% 16.47/11.26 inference(monotonicity,[status(thm)],[14681])).
% 16.47/11.26 tff(14683,plain,
% 16.47/11.26 (((~![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)))),
% 16.47/11.27 inference(transitivity,[status(thm)],[14682, 14680])).
% 16.47/11.27 tff(14684,plain,
% 16.47/11.27 ((~![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)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14685,plain,
% 16.47/11.27 ((~![V: $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))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14684, 14683])).
% 16.47/11.27 tff(14686,plain,
% 16.47/11.27 (~m_main_v_state2(s179, c_n2)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14685, 311, 14527, 14619])).
% 16.47/11.27 tff(14687,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14688,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s179, c_n2) | (~node9(s179)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14689,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s179, c_n2) | (~node9(s179))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14688, 14687])).
% 16.47/11.27 tff(14690,plain,
% 16.47/11.27 (~node9(s179)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14689, 88, 14686])).
% 16.47/11.27 tff(14691,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14692,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s179, c_n2) | (~node10(s179)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14693,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s179, c_n2) | (~node10(s179))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14692, 14691])).
% 16.47/11.27 tff(14694,plain,
% 16.47/11.27 (~node10(s179)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14693, 249, 14686])).
% 16.47/11.27 tff(14695,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14696,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s179, c_n2) | (~node8(s179)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14697,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s179, c_n2) | (~node8(s179))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14696, 14695])).
% 16.47/11.27 tff(14698,plain,
% 16.47/11.27 (~node8(s179)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14697, 271, 14686])).
% 16.47/11.27 tff(14699,plain,
% 16.47/11.27 (((~![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))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14700,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s179, s180)) | node14(s179, s180))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14701,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s179, s180)) | node14(s179, s180)),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14700, 14699])).
% 16.47/11.27 tff(14702,plain,
% 16.47/11.27 (node14(s179, s180)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14701, 46, 14633])).
% 16.47/11.27 tff(14703,plain,
% 16.47/11.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14704,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14705,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14704, 14703])).
% 16.47/11.27 tff(14706,plain,
% 16.47/11.27 ((~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)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14705, 617, 14702])).
% 16.47/11.27 tff(14707,plain,
% 16.47/11.27 (m_main_v_state2(s180, c_c2)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14706, 14698, 14570, 14626, 14694, 14690])).
% 16.47/11.27 tff(14708,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14709,plain,
% 16.47/11.27 ((~![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)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14710,plain,
% 16.47/11.27 ((~![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))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14709, 14708])).
% 16.47/11.27 tff(14711,plain,
% 16.47/11.27 (~m_main_v_state2(s180, c_n2)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14710, 697, 14707])).
% 16.47/11.27 tff(14712,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14713,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s180, c_n2) | (~node4(s180)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14714,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s180, c_n2) | (~node4(s180))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14713, 14712])).
% 16.47/11.27 tff(14715,plain,
% 16.47/11.27 (~node4(s180)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14714, 388, 14711])).
% 16.47/11.27 tff(14716,plain,
% 16.47/11.27 (succ(s180, s181) <=> succ(s180, s181)),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14717,axiom,(succ(s180, s181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound181')).
% 16.47/11.27 tff(14718,plain,
% 16.47/11.27 (succ(s180, s181)),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14717, 14716])).
% 16.47/11.27 tff(14719,plain,
% 16.47/11.27 (((~![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))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14720,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14721,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181)),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14720, 14719])).
% 16.47/11.27 tff(14722,plain,
% 16.47/11.27 (trans(s180, s181)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14721, 14718, 32])).
% 16.47/11.27 tff(14723,plain,
% 16.47/11.27 (((~![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))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14724,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s180, s181)) | node7(s180, s181))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14725,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s180, s181)) | node7(s180, s181)),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14724, 14723])).
% 16.47/11.27 tff(14726,plain,
% 16.47/11.27 (node7(s180, s181)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14725, 206, 14722])).
% 16.47/11.27 tff(14727,plain,
% 16.47/11.27 (((~![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(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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14728,plain,
% 16.47/11.27 ((~![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(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14729,plain,
% 16.47/11.27 ((~![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(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14728, 14727])).
% 16.47/11.27 tff(14730,plain,
% 16.47/11.27 (m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14729, 820, 14726])).
% 16.47/11.27 tff(14731,plain,
% 16.47/11.27 (node6(s180, s181)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14730, 14715, 14679, 14675, 14671, 14667, 14650])).
% 16.47/11.27 tff(14732,plain,
% 16.47/11.27 (((~![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(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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14733,plain,
% 16.47/11.27 (((~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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14734,plain,
% 16.47/11.27 (((~![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))))),
% 16.47/11.27 inference(monotonicity,[status(thm)],[14733])).
% 16.47/11.27 tff(14735,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(transitivity,[status(thm)],[14734, 14732])).
% 16.47/11.27 tff(14736,plain,
% 16.47/11.27 ((~![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))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14737,plain,
% 16.47/11.27 ((~![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(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14736, 14735])).
% 16.47/11.27 tff(14738,plain,
% 16.47/11.27 (m_main_v_state1(s181, c_t1)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14737, 856, 14642, 14731])).
% 16.47/11.27 tff(14739,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14740,plain,
% 16.47/11.27 ((~![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)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14741,plain,
% 16.47/11.27 ((~![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))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14740, 14739])).
% 16.47/11.27 tff(14742,plain,
% 16.47/11.27 (~m_main_v_state2(s180, c_t2)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14741, 260, 14707])).
% 16.47/11.27 tff(14743,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14744,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s180, c_t2) | (~node12(s180)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14745,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s180, c_t2) | (~node12(s180))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14744, 14743])).
% 16.47/11.27 tff(14746,plain,
% 16.47/11.27 (~node12(s180)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14745, 633, 14742])).
% 16.47/11.27 tff(14747,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14748,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s180, c_n1) | (~node11(s180)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14749,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s180, c_n1) | (~node11(s180))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14748, 14747])).
% 16.47/11.27 tff(14750,plain,
% 16.47/11.27 (~node11(s180)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14749, 238, 14646])).
% 16.47/11.27 tff(14751,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14752,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s180, c_c1) | (~node10(s180)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14753,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s180, c_c1) | (~node10(s180))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14752, 14751])).
% 16.47/11.27 tff(14754,plain,
% 16.47/11.27 (~node10(s180)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14753, 675, 14679])).
% 16.47/11.27 tff(14755,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14756,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s180, c_n1) | (~node9(s180)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14757,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s180, c_n1) | (~node9(s180))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14756, 14755])).
% 16.47/11.27 tff(14758,plain,
% 16.47/11.27 (~node9(s180)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14757, 686, 14646])).
% 16.47/11.27 tff(14759,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14760,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s180, c_n2) | (~node8(s180)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14761,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s180, c_n2) | (~node8(s180))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14760, 14759])).
% 16.47/11.27 tff(14762,plain,
% 16.47/11.27 (~node8(s180)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14761, 271, 14711])).
% 16.47/11.27 tff(14763,plain,
% 16.47/11.27 (((~![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))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14764,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s180, s181)) | node14(s180, s181))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14765,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s180, s181)) | node14(s180, s181)),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14764, 14763])).
% 16.47/11.27 tff(14766,plain,
% 16.47/11.27 (node14(s180, s181)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14765, 46, 14722])).
% 16.47/11.27 tff(14767,plain,
% 16.47/11.27 (((~![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(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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14768,plain,
% 16.47/11.27 (((~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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14769,plain,
% 16.47/11.27 (((~![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(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))))),
% 16.47/11.27 inference(monotonicity,[status(thm)],[14768])).
% 16.47/11.27 tff(14770,plain,
% 16.47/11.27 (((~![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(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)))),
% 16.47/11.27 inference(transitivity,[status(thm)],[14769, 14767])).
% 16.47/11.27 tff(14771,plain,
% 16.47/11.27 ((~![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(s180, c_c2)) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | m_main_v_state2(s181, c_n2))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14772,plain,
% 16.47/11.27 ((~![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(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14771, 14770])).
% 16.47/11.27 tff(14773,plain,
% 16.47/11.27 (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~m_main_v_state2(s180, c_c2))),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14772, 726, 14766])).
% 16.47/11.27 tff(14774,plain,
% 16.47/11.27 (m_main_v_state2(s181, c_n2)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14773, 14762, 14707, 14758, 14754, 14750, 14746])).
% 16.47/11.27 tff(14775,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14776,plain,
% 16.47/11.27 ((~![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)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14777,plain,
% 16.47/11.27 ((~![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))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 16.47/11.27 tff(14778,plain,
% 16.47/11.27 (~m_main_v_state2(s181, c_t2)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14777, 77, 14774])).
% 16.47/11.27 tff(14779,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14780,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s181, c_t2) | (~node15(s181)))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14781,plain,
% 16.47/11.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s181, c_t2) | (~node15(s181))),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14780, 14779])).
% 16.47/11.27 tff(14782,plain,
% 16.47/11.27 (~node15(s181)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14781, 103, 14778])).
% 16.47/11.27 tff(14783,plain,
% 16.47/11.27 (succ(s181, s182) <=> succ(s181, s182)),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14784,axiom,(succ(s181, s182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound182')).
% 16.47/11.27 tff(14785,plain,
% 16.47/11.27 (succ(s181, s182)),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14784, 14783])).
% 16.47/11.27 tff(14786,plain,
% 16.47/11.27 (((~![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))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14787,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14788,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182)),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14787, 14786])).
% 16.47/11.27 tff(14789,plain,
% 16.47/11.27 (trans(s181, s182)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14788, 14785, 32])).
% 16.47/11.27 tff(14790,plain,
% 16.47/11.27 (((~![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))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14791,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s181, s182)) | node18(s181, s182))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14792,plain,
% 16.47/11.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s181, s182)) | node18(s181, s182)),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14791, 14790])).
% 16.47/11.27 tff(14793,plain,
% 16.47/11.27 (node18(s181, s182)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14792, 125, 14789])).
% 16.47/11.27 tff(14794,plain,
% 16.47/11.27 (((~![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(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))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14795,plain,
% 16.47/11.27 (((~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))),
% 16.47/11.27 inference(rewrite,[status(thm)],[])).
% 16.47/11.27 tff(14796,plain,
% 16.47/11.27 (((~![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(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)))),
% 16.47/11.27 inference(monotonicity,[status(thm)],[14795])).
% 16.47/11.27 tff(14797,plain,
% 16.47/11.27 (((~![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(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))),
% 16.47/11.27 inference(transitivity,[status(thm)],[14796, 14794])).
% 16.47/11.27 tff(14798,plain,
% 16.47/11.27 ((~![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(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1))),
% 16.47/11.27 inference(quant_inst,[status(thm)],[])).
% 16.47/11.27 tff(14799,plain,
% 16.47/11.27 ((~![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(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)),
% 16.47/11.27 inference(modus_ponens,[status(thm)],[14798, 14797])).
% 16.47/11.27 tff(14800,plain,
% 16.47/11.27 (node15(s181) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14799, 992, 14793])).
% 16.47/11.27 tff(14801,plain,
% 16.47/11.27 (m_main_v_turn(s182, c_1)),
% 16.47/11.27 inference(unit_resolution,[status(thm)],[14800, 14782, 14774, 14738])).
% 16.47/11.27 tff(14802,plain,
% 16.47/11.27 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14803,plain,
% 16.47/11.28 ((~![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)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14804,plain,
% 16.47/11.28 ((~![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))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14803, 14802])).
% 16.47/11.28 tff(14805,plain,
% 16.47/11.28 (~m_main_v_turn(s182, c_2)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14804, 156, 14801])).
% 16.47/11.28 tff(14806,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14807,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s182, c_2) | (~node12(s182)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14808,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s182, c_2) | (~node12(s182))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14807, 14806])).
% 16.47/11.28 tff(14809,plain,
% 16.47/11.28 (~node12(s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14808, 184, 14805])).
% 16.47/11.28 tff(14810,plain,
% 16.47/11.28 (((~![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))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14811,plain,
% 16.47/11.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s181, s182)) | node14(s181, s182))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14812,plain,
% 16.47/11.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s181, s182)) | node14(s181, s182)),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14811, 14810])).
% 16.47/11.28 tff(14813,plain,
% 16.47/11.28 (node14(s181, s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14812, 46, 14789])).
% 16.47/11.28 tff(14814,plain,
% 16.47/11.28 (((~![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(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))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14815,plain,
% 16.47/11.28 ((~![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(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14816,plain,
% 16.47/11.28 ((~![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(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2)),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14815, 14814])).
% 16.47/11.28 tff(14817,plain,
% 16.47/11.28 ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state2(s182, c_t2)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14816, 922, 14813])).
% 16.47/11.28 tff(14818,plain,
% 16.47/11.28 (m_main_v_state2(s182, c_t2)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14817, 14738, 14774])).
% 16.47/11.28 tff(14819,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14820,plain,
% 16.47/11.28 ((~![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)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14821,plain,
% 16.47/11.28 ((~![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))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14820, 14819])).
% 16.47/11.28 tff(14822,plain,
% 16.47/11.28 (~m_main_v_state2(s182, c_n2)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14821, 77, 14818])).
% 16.47/11.28 tff(14823,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14824,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s182, c_n2) | (~node8(s182)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14825,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s182, c_n2) | (~node8(s182))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14824, 14823])).
% 16.47/11.28 tff(14826,plain,
% 16.47/11.28 (~node8(s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14825, 271, 14822])).
% 16.47/11.28 tff(14827,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14828,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s182, c_n2) | (~node9(s182)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14829,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s182, c_n2) | (~node9(s182))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14828, 14827])).
% 16.47/11.28 tff(14830,plain,
% 16.47/11.28 (~node9(s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14829, 88, 14822])).
% 16.47/11.28 tff(14831,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14832,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s182, c_n2) | (~node10(s182)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14833,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s182, c_n2) | (~node10(s182))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14832, 14831])).
% 16.47/11.28 tff(14834,plain,
% 16.47/11.28 (~node10(s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14833, 249, 14822])).
% 16.47/11.28 tff(14835,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14836,plain,
% 16.47/11.28 ((~![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)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14837,plain,
% 16.47/11.28 ((~![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))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14836, 14835])).
% 16.47/11.28 tff(14838,plain,
% 16.47/11.28 (~m_main_v_state2(s182, c_c2)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14837, 260, 14818])).
% 16.47/11.28 tff(14839,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14840,plain,
% 16.47/11.28 ((~![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)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14841,plain,
% 16.47/11.28 ((~![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))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14840, 14839])).
% 16.47/11.28 tff(14842,plain,
% 16.47/11.28 (~m_main_v_state2(s181, c_c2)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14841, 697, 14774])).
% 16.47/11.28 tff(14843,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14844,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s181, c_c2) | (~node3(s181)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14845,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s181, c_c2) | (~node3(s181))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14844, 14843])).
% 16.47/11.28 tff(14846,plain,
% 16.47/11.28 (~node3(s181)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14845, 399, 14842])).
% 16.47/11.28 tff(14847,plain,
% 16.47/11.28 (((~![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(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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14848,plain,
% 16.47/11.28 (((~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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14849,plain,
% 16.47/11.28 (((~![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))))),
% 16.47/11.28 inference(monotonicity,[status(thm)],[14848])).
% 16.47/11.28 tff(14850,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(transitivity,[status(thm)],[14849, 14847])).
% 16.47/11.28 tff(14851,plain,
% 16.47/11.28 ((~![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)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14852,plain,
% 16.47/11.28 ((~![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(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14851, 14850])).
% 16.47/11.28 tff(14853,plain,
% 16.47/11.28 (~m_main_v_state1(s181, c_n1)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14852, 835, 14646, 14731])).
% 16.47/11.28 tff(14854,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14855,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s181, c_n1) | (~node2(s181)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14856,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s181, c_n1) | (~node2(s181))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14855, 14854])).
% 16.47/11.28 tff(14857,plain,
% 16.47/11.28 (~node2(s181)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14856, 787, 14853])).
% 16.47/11.28 tff(14858,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14859,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s181, c_t2) | (~node1(s181)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14860,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s181, c_t2) | (~node1(s181))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14859, 14858])).
% 16.47/11.28 tff(14861,plain,
% 16.47/11.28 (~node1(s181)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14860, 195, 14778])).
% 16.47/11.28 tff(14862,plain,
% 16.47/11.28 (((~![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))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14863,plain,
% 16.47/11.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s181, s182)) | node7(s181, s182))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14864,plain,
% 16.47/11.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s181, s182)) | node7(s181, s182)),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14863, 14862])).
% 16.47/11.28 tff(14865,plain,
% 16.47/11.28 (node7(s181, s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14864, 206, 14789])).
% 16.47/11.28 tff(14866,plain,
% 16.47/11.28 (((~![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(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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14867,plain,
% 16.47/11.28 (((~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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14868,plain,
% 16.47/11.28 (((~![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(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))))),
% 16.47/11.28 inference(monotonicity,[status(thm)],[14867])).
% 16.47/11.28 tff(14869,plain,
% 16.47/11.28 (((~![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(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)))),
% 16.47/11.28 inference(transitivity,[status(thm)],[14868, 14866])).
% 16.47/11.28 tff(14870,plain,
% 16.47/11.28 ((~![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(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))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14871,plain,
% 16.47/11.28 ((~![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(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))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14870, 14869])).
% 16.47/11.28 tff(14872,plain,
% 16.47/11.28 ((~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)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14871, 892, 14865])).
% 16.47/11.28 tff(14873,plain,
% 16.47/11.28 (m_main_v_state1(s182, c_c1)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14872, 14861, 14774, 14738, 14857, 14846])).
% 16.47/11.28 tff(14874,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14875,plain,
% 16.47/11.28 ((~![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)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14876,plain,
% 16.47/11.28 ((~![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))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14875, 14874])).
% 16.47/11.28 tff(14877,plain,
% 16.47/11.28 (~m_main_v_state1(s182, c_n1)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14876, 454, 14873])).
% 16.47/11.28 tff(14878,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14879,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s182, c_n1) | (~node11(s182)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14880,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s182, c_n1) | (~node11(s182))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14879, 14878])).
% 16.47/11.28 tff(14881,plain,
% 16.47/11.28 (~node11(s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14880, 238, 14877])).
% 16.47/11.28 tff(14882,plain,
% 16.47/11.28 (succ(s182, s183) <=> succ(s182, s183)),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14883,axiom,(succ(s182, s183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound183')).
% 16.47/11.28 tff(14884,plain,
% 16.47/11.28 (succ(s182, s183)),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14883, 14882])).
% 16.47/11.28 tff(14885,plain,
% 16.47/11.28 (((~![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))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14886,plain,
% 16.47/11.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14887,plain,
% 16.47/11.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183)),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14886, 14885])).
% 16.47/11.28 tff(14888,plain,
% 16.47/11.28 (trans(s182, s183)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14887, 14884, 32])).
% 16.47/11.28 tff(14889,plain,
% 16.47/11.28 (((~![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))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14890,plain,
% 16.47/11.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s182, s183)) | node14(s182, s183))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14891,plain,
% 16.47/11.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s182, s183)) | node14(s182, s183)),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 16.47/11.28 tff(14892,plain,
% 16.47/11.28 (node14(s182, s183)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14891, 46, 14888])).
% 16.47/11.28 tff(14893,plain,
% 16.47/11.28 (((~![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(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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14894,plain,
% 16.47/11.28 ((~![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(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14895,plain,
% 16.47/11.28 ((~![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(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14894, 14893])).
% 16.47/11.28 tff(14896,plain,
% 16.47/11.28 (m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14895, 296, 14892])).
% 16.47/11.28 tff(14897,plain,
% 16.47/11.28 (node13(s182, s183)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14896, 14881, 14838, 14834, 14830, 14826, 14809])).
% 16.47/11.28 tff(14898,plain,
% 16.47/11.28 (((~![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(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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14899,plain,
% 16.47/11.28 (((~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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14900,plain,
% 16.47/11.28 (((~![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))))),
% 16.47/11.28 inference(monotonicity,[status(thm)],[14899])).
% 16.47/11.28 tff(14901,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(transitivity,[status(thm)],[14900, 14898])).
% 16.47/11.28 tff(14902,plain,
% 16.47/11.28 ((~![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)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14903,plain,
% 16.47/11.28 ((~![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(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14902, 14901])).
% 16.47/11.28 tff(14904,plain,
% 16.47/11.28 (~m_main_v_state2(s183, c_n2)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14903, 311, 14822, 14897])).
% 16.47/11.28 tff(14905,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14906,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s183, c_n2) | (~node9(s183)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14907,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s183, c_n2) | (~node9(s183))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14906, 14905])).
% 16.47/11.28 tff(14908,plain,
% 16.47/11.28 (~node9(s183)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14907, 88, 14904])).
% 16.47/11.28 tff(14909,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14910,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s183, c_n2) | (~node10(s183)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14911,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s183, c_n2) | (~node10(s183))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14910, 14909])).
% 16.47/11.28 tff(14912,plain,
% 16.47/11.28 (~node10(s183)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14911, 249, 14904])).
% 16.47/11.28 tff(14913,plain,
% 16.47/11.28 (((~![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(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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14914,plain,
% 16.47/11.28 (((~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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14915,plain,
% 16.47/11.28 (((~![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))))),
% 16.47/11.28 inference(monotonicity,[status(thm)],[14914])).
% 16.47/11.28 tff(14916,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(transitivity,[status(thm)],[14915, 14913])).
% 16.47/11.28 tff(14917,plain,
% 16.47/11.28 ((~![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))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14918,plain,
% 16.47/11.28 ((~![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(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14917, 14916])).
% 16.47/11.28 tff(14919,plain,
% 16.47/11.28 (m_main_v_state2(s183, c_t2)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14918, 518, 14818, 14897])).
% 16.47/11.28 tff(14920,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14921,plain,
% 16.47/11.28 ((~![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)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14922,plain,
% 16.47/11.28 ((~![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))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14921, 14920])).
% 16.47/11.28 tff(14923,plain,
% 16.47/11.28 (~m_main_v_state1(s182, c_t1)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14922, 539, 14873])).
% 16.47/11.28 tff(14924,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14925,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s182, c_t1) | (~node5(s182)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14926,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s182, c_t1) | (~node5(s182))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14925, 14924])).
% 16.47/11.28 tff(14927,plain,
% 16.47/11.28 (~node5(s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14926, 550, 14923])).
% 16.47/11.28 tff(14928,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14929,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s182, c_n2) | (~node4(s182)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14930,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s182, c_n2) | (~node4(s182))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14929, 14928])).
% 16.47/11.28 tff(14931,plain,
% 16.47/11.28 (~node4(s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14930, 388, 14822])).
% 16.47/11.28 tff(14932,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14933,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s182, c_c2) | (~node3(s182)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14934,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s182, c_c2) | (~node3(s182))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14933, 14932])).
% 16.47/11.28 tff(14935,plain,
% 16.47/11.28 (~node3(s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14934, 399, 14838])).
% 16.47/11.28 tff(14936,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.28 inference(rewrite,[status(thm)],[])).
% 16.47/11.28 tff(14937,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s182, c_n2) | (~node2(s182)))),
% 16.47/11.28 inference(quant_inst,[status(thm)],[])).
% 16.47/11.28 tff(14938,plain,
% 16.47/11.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s182, c_n2) | (~node2(s182))),
% 16.47/11.28 inference(modus_ponens,[status(thm)],[14937, 14936])).
% 16.47/11.28 tff(14939,plain,
% 16.47/11.28 (~node2(s182)),
% 16.47/11.28 inference(unit_resolution,[status(thm)],[14938, 410, 14822])).
% 16.47/11.28 tff(14940,plain,
% 16.47/11.28 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14941,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s182, c_n1) | (~node1(s182)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14942,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s182, c_n1) | (~node1(s182))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14941, 14940])).
% 16.47/11.29 tff(14943,plain,
% 16.47/11.29 (~node1(s182)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14942, 421, 14877])).
% 16.47/11.29 tff(14944,plain,
% 16.47/11.29 (((~![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))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14945,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s182, s183)) | node7(s182, s183))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14946,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s182, s183)) | node7(s182, s183)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14945, 14944])).
% 16.47/11.29 tff(14947,plain,
% 16.47/11.29 (node7(s182, s183)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14946, 206, 14888])).
% 16.47/11.29 tff(14948,plain,
% 16.47/11.29 (((~![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(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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14949,plain,
% 16.47/11.29 (((~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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14950,plain,
% 16.47/11.29 (((~![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(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))))),
% 16.47/11.29 inference(monotonicity,[status(thm)],[14949])).
% 16.47/11.29 tff(14951,plain,
% 16.47/11.29 (((~![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(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)))),
% 16.47/11.29 inference(transitivity,[status(thm)],[14950, 14948])).
% 16.47/11.29 tff(14952,plain,
% 16.47/11.29 ((~![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(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14953,plain,
% 16.47/11.29 ((~![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(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14952, 14951])).
% 16.47/11.29 tff(14954,plain,
% 16.47/11.29 (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14953, 584, 14947])).
% 16.47/11.29 tff(14955,plain,
% 16.47/11.29 (m_main_v_state1(s183, c_n1)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14954, 14943, 14873, 14939, 14935, 14931, 14927])).
% 16.47/11.29 tff(14956,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14957,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s183, c_n2) | (~node8(s183)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14958,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s183, c_n2) | (~node8(s183))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14957, 14956])).
% 16.47/11.29 tff(14959,plain,
% 16.47/11.29 (~node8(s183)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14958, 271, 14904])).
% 16.47/11.29 tff(14960,plain,
% 16.47/11.29 (succ(s183, s184) <=> succ(s183, s184)),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14961,axiom,(succ(s183, s184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound184')).
% 16.47/11.29 tff(14962,plain,
% 16.47/11.29 (succ(s183, s184)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14961, 14960])).
% 16.47/11.29 tff(14963,plain,
% 16.47/11.29 (((~![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))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14964,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14965,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14964, 14963])).
% 16.47/11.29 tff(14966,plain,
% 16.47/11.29 (trans(s183, s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14965, 14962, 32])).
% 16.47/11.29 tff(14967,plain,
% 16.47/11.29 (((~![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))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14968,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s183, s184)) | node14(s183, s184))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14969,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s183, s184)) | node14(s183, s184)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14968, 14967])).
% 16.47/11.29 tff(14970,plain,
% 16.47/11.29 (node14(s183, s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14969, 46, 14966])).
% 16.47/11.29 tff(14971,plain,
% 16.47/11.29 (((~![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(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))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14972,plain,
% 16.47/11.29 ((~![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(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))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14973,plain,
% 16.47/11.29 ((~![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(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)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14972, 14971])).
% 16.47/11.29 tff(14974,plain,
% 16.47/11.29 ((~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)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14973, 617, 14970])).
% 16.47/11.29 tff(14975,plain,
% 16.47/11.29 (m_main_v_state2(s184, c_c2)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14974, 14959, 14955, 14919, 14912, 14908])).
% 16.47/11.29 tff(14976,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14977,plain,
% 16.47/11.29 ((~![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)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14978,plain,
% 16.47/11.29 ((~![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))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14977, 14976])).
% 16.47/11.29 tff(14979,plain,
% 16.47/11.29 (~m_main_v_state2(s184, c_t2)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14978, 260, 14975])).
% 16.47/11.29 tff(14980,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14981,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s184, c_t2) | (~node12(s184)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14982,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s184, c_t2) | (~node12(s184))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14981, 14980])).
% 16.47/11.29 tff(14983,plain,
% 16.47/11.29 (~node12(s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14982, 633, 14979])).
% 16.47/11.29 tff(14984,plain,
% 16.47/11.29 (((~![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))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14985,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s183, s184)) | node7(s183, s184))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14986,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s183, s184)) | node7(s183, s184)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14985, 14984])).
% 16.47/11.29 tff(14987,plain,
% 16.47/11.29 (node7(s183, s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14986, 206, 14966])).
% 16.47/11.29 tff(14988,plain,
% 16.47/11.29 (((~![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(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))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14989,plain,
% 16.47/11.29 ((~![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(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14990,plain,
% 16.47/11.29 ((~![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(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14989, 14988])).
% 16.47/11.29 tff(14991,plain,
% 16.47/11.29 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | m_main_v_state1(s184, c_t1)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14990, 651, 14987])).
% 16.47/11.29 tff(14992,plain,
% 16.47/11.29 (m_main_v_state1(s184, c_t1)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14991, 14919, 14955])).
% 16.47/11.29 tff(14993,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14994,plain,
% 16.47/11.29 ((~![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)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14995,plain,
% 16.47/11.29 ((~![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))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 16.47/11.29 tff(14996,plain,
% 16.47/11.29 (~m_main_v_state1(s184, c_n1)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14995, 10, 14992])).
% 16.47/11.29 tff(14997,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(14998,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s184, c_n1) | (~node11(s184)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(14999,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s184, c_n1) | (~node11(s184))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[14998, 14997])).
% 16.47/11.29 tff(15000,plain,
% 16.47/11.29 (~node11(s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[14999, 238, 14996])).
% 16.47/11.29 tff(15001,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15002,plain,
% 16.47/11.29 ((~![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)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15003,plain,
% 16.47/11.29 ((~![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))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15002, 15001])).
% 16.47/11.29 tff(15004,plain,
% 16.47/11.29 (~m_main_v_state1(s184, c_c1)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15003, 539, 14992])).
% 16.47/11.29 tff(15005,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15006,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s184, c_c1) | (~node10(s184)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15007,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s184, c_c1) | (~node10(s184))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 16.47/11.29 tff(15008,plain,
% 16.47/11.29 (~node10(s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15007, 675, 15004])).
% 16.47/11.29 tff(15009,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15010,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s184, c_n1) | (~node9(s184)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15011,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s184, c_n1) | (~node9(s184))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15010, 15009])).
% 16.47/11.29 tff(15012,plain,
% 16.47/11.29 (~node9(s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15011, 686, 14996])).
% 16.47/11.29 tff(15013,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15014,plain,
% 16.47/11.29 ((~![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)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15015,plain,
% 16.47/11.29 ((~![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))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15014, 15013])).
% 16.47/11.29 tff(15016,plain,
% 16.47/11.29 (~m_main_v_state2(s184, c_n2)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15015, 697, 14975])).
% 16.47/11.29 tff(15017,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15018,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s184, c_n2) | (~node8(s184)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15019,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s184, c_n2) | (~node8(s184))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15018, 15017])).
% 16.47/11.29 tff(15020,plain,
% 16.47/11.29 (~node8(s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15019, 271, 15016])).
% 16.47/11.29 tff(15021,plain,
% 16.47/11.29 (succ(s184, s185) <=> succ(s184, s185)),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15022,axiom,(succ(s184, s185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound185')).
% 16.47/11.29 tff(15023,plain,
% 16.47/11.29 (succ(s184, s185)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15022, 15021])).
% 16.47/11.29 tff(15024,plain,
% 16.47/11.29 (((~![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))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15025,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15026,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15025, 15024])).
% 16.47/11.29 tff(15027,plain,
% 16.47/11.29 (trans(s184, s185)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15026, 15023, 32])).
% 16.47/11.29 tff(15028,plain,
% 16.47/11.29 (((~![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))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15029,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s184, s185)) | node14(s184, s185))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15030,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s184, s185)) | node14(s184, s185)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 16.47/11.29 tff(15031,plain,
% 16.47/11.29 (node14(s184, s185)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15030, 46, 15027])).
% 16.47/11.29 tff(15032,plain,
% 16.47/11.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15033,plain,
% 16.47/11.29 (((~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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15034,plain,
% 16.47/11.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 16.47/11.29 inference(monotonicity,[status(thm)],[15033])).
% 16.47/11.29 tff(15035,plain,
% 16.47/11.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.47/11.29 inference(transitivity,[status(thm)],[15034, 15032])).
% 16.47/11.29 tff(15036,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15037,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15036, 15035])).
% 16.47/11.29 tff(15038,plain,
% 16.47/11.29 (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~m_main_v_state2(s184, c_c2))),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15037, 726, 15031])).
% 16.47/11.29 tff(15039,plain,
% 16.47/11.29 (m_main_v_state2(s185, c_n2)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15038, 15020, 14975, 15012, 15008, 15000, 14983])).
% 16.47/11.29 tff(15040,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15041,plain,
% 16.47/11.29 ((~![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)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15042,plain,
% 16.47/11.29 ((~![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))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15041, 15040])).
% 16.47/11.29 tff(15043,plain,
% 16.47/11.29 (~m_main_v_state2(s185, c_c2)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15042, 697, 15039])).
% 16.47/11.29 tff(15044,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15045,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s185, c_c2) | (~node3(s185)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15046,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s185, c_c2) | (~node3(s185))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15045, 15044])).
% 16.47/11.29 tff(15047,plain,
% 16.47/11.29 (~node3(s185)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15046, 399, 15043])).
% 16.47/11.29 tff(15048,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15049,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s184, c_n1) | (~node1(s184)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15050,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s184, c_n1) | (~node1(s184))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15049, 15048])).
% 16.47/11.29 tff(15051,plain,
% 16.47/11.29 (~node1(s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15050, 421, 14996])).
% 16.47/11.29 tff(15052,plain,
% 16.47/11.29 (((~![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))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15053,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s183, s184)) | node18(s183, s184))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15054,plain,
% 16.47/11.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s183, s184)) | node18(s183, s184)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15053, 15052])).
% 16.47/11.29 tff(15055,plain,
% 16.47/11.29 (node18(s183, s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15054, 125, 14966])).
% 16.47/11.29 tff(15056,plain,
% 16.47/11.29 (((~![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(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))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15057,plain,
% 16.47/11.29 ((~![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(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15058,plain,
% 16.47/11.29 ((~![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(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2)),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15057, 15056])).
% 16.47/11.29 tff(15059,plain,
% 16.47/11.29 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | m_main_v_turn(s184, c_2)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15058, 760, 15055])).
% 16.47/11.29 tff(15060,plain,
% 16.47/11.29 (m_main_v_turn(s184, c_2)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15059, 14919, 14955])).
% 16.47/11.29 tff(15061,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15062,plain,
% 16.47/11.29 ((~![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)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15063,plain,
% 16.47/11.29 ((~![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))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15062, 15061])).
% 16.47/11.29 tff(15064,plain,
% 16.47/11.29 (~m_main_v_turn(s184, c_1)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15063, 156, 15060])).
% 16.47/11.29 tff(15065,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15066,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s184, c_1) | (~node5(s184)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15067,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s184, c_1) | (~node5(s184))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15066, 15065])).
% 16.47/11.29 tff(15068,plain,
% 16.47/11.29 (~node5(s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15067, 776, 15064])).
% 16.47/11.29 tff(15069,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15070,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s184, c_n1) | (~node2(s184)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15071,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s184, c_n1) | (~node2(s184))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15070, 15069])).
% 16.47/11.29 tff(15072,plain,
% 16.47/11.29 (~node2(s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15071, 787, 14996])).
% 16.47/11.29 tff(15073,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15074,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s184, c_n1) | (~node3(s184)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15075,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s184, c_n1) | (~node3(s184))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15074, 15073])).
% 16.47/11.29 tff(15076,plain,
% 16.47/11.29 (~node3(s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15075, 798, 14996])).
% 16.47/11.29 tff(15077,plain,
% 16.47/11.29 (((~![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)))),
% 16.47/11.29 inference(rewrite,[status(thm)],[])).
% 16.47/11.29 tff(15078,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s184, c_n2) | (~node4(s184)))),
% 16.47/11.29 inference(quant_inst,[status(thm)],[])).
% 16.47/11.29 tff(15079,plain,
% 16.47/11.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s184, c_n2) | (~node4(s184))),
% 16.47/11.29 inference(modus_ponens,[status(thm)],[15078, 15077])).
% 16.47/11.29 tff(15080,plain,
% 16.47/11.29 (~node4(s184)),
% 16.47/11.29 inference(unit_resolution,[status(thm)],[15079, 388, 15016])).
% 16.47/11.29 tff(15081,plain,
% 16.47/11.30 (((~![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))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15082,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s184, s185)) | node7(s184, s185))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15083,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s184, s185)) | node7(s184, s185)),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15082, 15081])).
% 16.47/11.30 tff(15084,plain,
% 16.47/11.30 (node7(s184, s185)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15083, 206, 15027])).
% 16.47/11.30 tff(15085,plain,
% 16.47/11.30 (((~![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(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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15086,plain,
% 16.47/11.30 ((~![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(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15087,plain,
% 16.47/11.30 ((~![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(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15086, 15085])).
% 16.47/11.30 tff(15088,plain,
% 16.47/11.30 (m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15087, 820, 15084])).
% 16.47/11.30 tff(15089,plain,
% 16.47/11.30 (node6(s184, s185)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15088, 15080, 15004, 15076, 15072, 15068, 15051])).
% 16.47/11.30 tff(15090,plain,
% 16.47/11.30 (((~![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(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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15091,plain,
% 16.47/11.30 (((~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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15092,plain,
% 16.47/11.30 (((~![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))))),
% 16.47/11.30 inference(monotonicity,[status(thm)],[15091])).
% 16.47/11.30 tff(15093,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(transitivity,[status(thm)],[15092, 15090])).
% 16.47/11.30 tff(15094,plain,
% 16.47/11.30 ((~![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)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15095,plain,
% 16.47/11.30 ((~![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(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15094, 15093])).
% 16.47/11.30 tff(15096,plain,
% 16.47/11.30 (~m_main_v_state1(s185, c_n1)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15095, 835, 14996, 15089])).
% 16.47/11.30 tff(15097,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15098,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s185, c_n1) | (~node2(s185)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15099,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s185, c_n1) | (~node2(s185))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15098, 15097])).
% 16.47/11.30 tff(15100,plain,
% 16.47/11.30 (~node2(s185)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15099, 787, 15096])).
% 16.47/11.30 tff(15101,plain,
% 16.47/11.30 (((~![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(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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15102,plain,
% 16.47/11.30 (((~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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15103,plain,
% 16.47/11.30 (((~![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))))),
% 16.47/11.30 inference(monotonicity,[status(thm)],[15102])).
% 16.47/11.30 tff(15104,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(transitivity,[status(thm)],[15103, 15101])).
% 16.47/11.30 tff(15105,plain,
% 16.47/11.30 ((~![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))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15106,plain,
% 16.47/11.30 ((~![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(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 16.47/11.30 tff(15107,plain,
% 16.47/11.30 (m_main_v_state1(s185, c_t1)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15106, 856, 14992, 15089])).
% 16.47/11.30 tff(15108,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15109,plain,
% 16.47/11.30 ((~![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)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15110,plain,
% 16.47/11.30 ((~![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))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15109, 15108])).
% 16.47/11.30 tff(15111,plain,
% 16.47/11.30 (~m_main_v_state2(s185, c_t2)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15110, 77, 15039])).
% 16.47/11.30 tff(15112,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15113,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s185, c_t2) | (~node1(s185)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15114,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s185, c_t2) | (~node1(s185))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15113, 15112])).
% 16.47/11.30 tff(15115,plain,
% 16.47/11.30 (~node1(s185)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15114, 195, 15111])).
% 16.47/11.30 tff(15116,plain,
% 16.47/11.30 (succ(s185, s186) <=> succ(s185, s186)),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15117,axiom,(succ(s185, s186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound186')).
% 16.47/11.30 tff(15118,plain,
% 16.47/11.30 (succ(s185, s186)),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15117, 15116])).
% 16.47/11.30 tff(15119,plain,
% 16.47/11.30 (((~![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))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15120,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15121,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186)),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15120, 15119])).
% 16.47/11.30 tff(15122,plain,
% 16.47/11.30 (trans(s185, s186)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15121, 15118, 32])).
% 16.47/11.30 tff(15123,plain,
% 16.47/11.30 (((~![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))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15124,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s185, s186)) | node7(s185, s186))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15125,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s185, s186)) | node7(s185, s186)),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15124, 15123])).
% 16.47/11.30 tff(15126,plain,
% 16.47/11.30 (node7(s185, s186)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15125, 206, 15122])).
% 16.47/11.30 tff(15127,plain,
% 16.47/11.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15128,plain,
% 16.47/11.30 (((~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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15129,plain,
% 16.47/11.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.47/11.30 inference(monotonicity,[status(thm)],[15128])).
% 16.47/11.30 tff(15130,plain,
% 16.47/11.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.47/11.30 inference(transitivity,[status(thm)],[15129, 15127])).
% 16.47/11.30 tff(15131,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15132,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15131, 15130])).
% 16.47/11.30 tff(15133,plain,
% 16.47/11.30 ((~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)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15132, 892, 15126])).
% 16.47/11.30 tff(15134,plain,
% 16.47/11.30 (m_main_v_state1(s186, c_c1)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15133, 15115, 15039, 15107, 15100, 15047])).
% 16.47/11.30 tff(15135,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15136,plain,
% 16.47/11.30 ((~![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)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15137,plain,
% 16.47/11.30 ((~![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))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 16.47/11.30 tff(15138,plain,
% 16.47/11.30 (~m_main_v_state1(s186, c_t1)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15137, 539, 15134])).
% 16.47/11.30 tff(15139,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15140,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s186, c_t1) | (~node5(s186)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15141,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s186, c_t1) | (~node5(s186))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 16.47/11.30 tff(15142,plain,
% 16.47/11.30 (~node5(s186)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15141, 550, 15138])).
% 16.47/11.30 tff(15143,plain,
% 16.47/11.30 (((~![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))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15144,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s185, s186)) | node14(s185, s186))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15145,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s185, s186)) | node14(s185, s186)),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15144, 15143])).
% 16.47/11.30 tff(15146,plain,
% 16.47/11.30 (node14(s185, s186)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15145, 46, 15122])).
% 16.47/11.30 tff(15147,plain,
% 16.47/11.30 (((~![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(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))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15148,plain,
% 16.47/11.30 ((~![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(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15149,plain,
% 16.47/11.30 ((~![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(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2)),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15148, 15147])).
% 16.47/11.30 tff(15150,plain,
% 16.47/11.30 ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state2(s186, c_t2)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15149, 922, 15146])).
% 16.47/11.30 tff(15151,plain,
% 16.47/11.30 (m_main_v_state2(s186, c_t2)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15150, 15107, 15039])).
% 16.47/11.30 tff(15152,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15153,plain,
% 16.47/11.30 ((~![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)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15154,plain,
% 16.47/11.30 ((~![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))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15153, 15152])).
% 16.47/11.30 tff(15155,plain,
% 16.47/11.30 (~m_main_v_state2(s186, c_n2)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15154, 77, 15151])).
% 16.47/11.30 tff(15156,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15157,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s186, c_n2) | (~node4(s186)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15158,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s186, c_n2) | (~node4(s186))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15157, 15156])).
% 16.47/11.30 tff(15159,plain,
% 16.47/11.30 (~node4(s186)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15158, 388, 15155])).
% 16.47/11.30 tff(15160,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15161,plain,
% 16.47/11.30 ((~![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)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15162,plain,
% 16.47/11.30 ((~![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))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15161, 15160])).
% 16.47/11.30 tff(15163,plain,
% 16.47/11.30 (~m_main_v_state2(s186, c_c2)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15162, 260, 15151])).
% 16.47/11.30 tff(15164,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15165,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s186, c_c2) | (~node3(s186)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15166,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s186, c_c2) | (~node3(s186))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15165, 15164])).
% 16.47/11.30 tff(15167,plain,
% 16.47/11.30 (~node3(s186)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15166, 399, 15163])).
% 16.47/11.30 tff(15168,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15169,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s186, c_n2) | (~node2(s186)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15170,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s186, c_n2) | (~node2(s186))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15169, 15168])).
% 16.47/11.30 tff(15171,plain,
% 16.47/11.30 (~node2(s186)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15170, 410, 15155])).
% 16.47/11.30 tff(15172,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15173,plain,
% 16.47/11.30 ((~![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)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15174,plain,
% 16.47/11.30 ((~![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))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15173, 15172])).
% 16.47/11.30 tff(15175,plain,
% 16.47/11.30 (~m_main_v_state1(s186, c_n1)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15174, 454, 15134])).
% 16.47/11.30 tff(15176,plain,
% 16.47/11.30 (((~![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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15177,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s186, c_n1) | (~node1(s186)))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15178,plain,
% 16.47/11.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s186, c_n1) | (~node1(s186))),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15177, 15176])).
% 16.47/11.30 tff(15179,plain,
% 16.47/11.30 (~node1(s186)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15178, 421, 15175])).
% 16.47/11.30 tff(15180,plain,
% 16.47/11.30 (succ(s186, s187) <=> succ(s186, s187)),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15181,axiom,(succ(s186, s187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound187')).
% 16.47/11.30 tff(15182,plain,
% 16.47/11.30 (succ(s186, s187)),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15181, 15180])).
% 16.47/11.30 tff(15183,plain,
% 16.47/11.30 (((~![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))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15184,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15185,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187)),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15184, 15183])).
% 16.47/11.30 tff(15186,plain,
% 16.47/11.30 (trans(s186, s187)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15185, 15182, 32])).
% 16.47/11.30 tff(15187,plain,
% 16.47/11.30 (((~![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))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15188,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s186, s187)) | node7(s186, s187))),
% 16.47/11.30 inference(quant_inst,[status(thm)],[])).
% 16.47/11.30 tff(15189,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s186, s187)) | node7(s186, s187)),
% 16.47/11.30 inference(modus_ponens,[status(thm)],[15188, 15187])).
% 16.47/11.30 tff(15190,plain,
% 16.47/11.30 (node7(s186, s187)),
% 16.47/11.30 inference(unit_resolution,[status(thm)],[15189, 206, 15186])).
% 16.47/11.30 tff(15191,plain,
% 16.47/11.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15192,plain,
% 16.47/11.30 (((~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)))),
% 16.47/11.30 inference(rewrite,[status(thm)],[])).
% 16.47/11.30 tff(15193,plain,
% 16.47/11.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 16.47/11.30 inference(monotonicity,[status(thm)],[15192])).
% 16.47/11.30 tff(15194,plain,
% 16.47/11.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 16.47/11.30 inference(transitivity,[status(thm)],[15193, 15191])).
% 16.47/11.30 tff(15195,plain,
% 16.47/11.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15196,plain,
% 16.47/11.31 ((~![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(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15195, 15194])).
% 16.47/11.31 tff(15197,plain,
% 16.47/11.31 (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15196, 584, 15190])).
% 16.47/11.31 tff(15198,plain,
% 16.47/11.31 (m_main_v_state1(s187, c_n1)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15197, 15179, 15134, 15171, 15167, 15159, 15142])).
% 16.47/11.31 tff(15199,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15200,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s185, c_t2) | (~node15(s185)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15201,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s185, c_t2) | (~node15(s185))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15200, 15199])).
% 16.47/11.31 tff(15202,plain,
% 16.47/11.31 (~node15(s185)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15201, 103, 15111])).
% 16.47/11.31 tff(15203,plain,
% 16.47/11.31 (((~![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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15204,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s185, s186)) | node18(s185, s186))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15205,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s185, s186)) | node18(s185, s186)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15204, 15203])).
% 16.47/11.31 tff(15206,plain,
% 16.47/11.31 (node18(s185, s186)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15205, 125, 15122])).
% 16.47/11.31 tff(15207,plain,
% 16.47/11.31 (((~![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(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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15208,plain,
% 16.47/11.31 (((~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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15209,plain,
% 16.47/11.31 (((~![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(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)))),
% 16.47/11.31 inference(monotonicity,[status(thm)],[15208])).
% 16.47/11.31 tff(15210,plain,
% 16.47/11.31 (((~![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(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))),
% 16.47/11.31 inference(transitivity,[status(thm)],[15209, 15207])).
% 16.47/11.31 tff(15211,plain,
% 16.47/11.31 ((~![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(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node15(s185) | (~node18(s185, s186)) | m_main_v_turn(s186, c_1))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15212,plain,
% 16.47/11.31 ((~![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(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)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15211, 15210])).
% 16.47/11.31 tff(15213,plain,
% 16.47/11.31 (node15(s185) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15212, 992, 15206])).
% 16.47/11.31 tff(15214,plain,
% 16.47/11.31 (m_main_v_turn(s186, c_1)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15213, 15202, 15039, 15107])).
% 16.47/11.31 tff(15215,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15216,plain,
% 16.47/11.31 ((~![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)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15217,plain,
% 16.47/11.31 ((~![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))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15216, 15215])).
% 16.47/11.31 tff(15218,plain,
% 16.47/11.31 (~m_main_v_turn(s186, c_2)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15217, 156, 15214])).
% 16.47/11.31 tff(15219,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15220,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s186, c_2) | (~node12(s186)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15221,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s186, c_2) | (~node12(s186))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15220, 15219])).
% 16.47/11.31 tff(15222,plain,
% 16.47/11.31 (~node12(s186)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15221, 184, 15218])).
% 16.47/11.31 tff(15223,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15224,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s186, c_n2) | (~node8(s186)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15225,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s186, c_n2) | (~node8(s186))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15224, 15223])).
% 16.47/11.31 tff(15226,plain,
% 16.47/11.31 (~node8(s186)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15225, 271, 15155])).
% 16.47/11.31 tff(15227,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15228,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s186, c_n2) | (~node9(s186)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15229,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s186, c_n2) | (~node9(s186))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15228, 15227])).
% 16.47/11.31 tff(15230,plain,
% 16.47/11.31 (~node9(s186)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15229, 88, 15155])).
% 16.47/11.31 tff(15231,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15232,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s186, c_n2) | (~node10(s186)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15233,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s186, c_n2) | (~node10(s186))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15232, 15231])).
% 16.47/11.31 tff(15234,plain,
% 16.47/11.31 (~node10(s186)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15233, 249, 15155])).
% 16.47/11.31 tff(15235,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15236,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s186, c_n1) | (~node11(s186)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15237,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s186, c_n1) | (~node11(s186))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15236, 15235])).
% 16.47/11.31 tff(15238,plain,
% 16.47/11.31 (~node11(s186)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15237, 238, 15175])).
% 16.47/11.31 tff(15239,plain,
% 16.47/11.31 (((~![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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15240,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s186, s187)) | node14(s186, s187))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15241,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s186, s187)) | node14(s186, s187)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15240, 15239])).
% 16.47/11.31 tff(15242,plain,
% 16.47/11.31 (node14(s186, s187)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15241, 46, 15186])).
% 16.47/11.31 tff(15243,plain,
% 16.47/11.31 (((~![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(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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15244,plain,
% 16.47/11.31 ((~![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(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15245,plain,
% 16.47/11.31 ((~![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(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15244, 15243])).
% 16.47/11.31 tff(15246,plain,
% 16.47/11.31 (m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15245, 296, 15242])).
% 16.47/11.31 tff(15247,plain,
% 16.47/11.31 (node13(s186, s187)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15246, 15238, 15163, 15234, 15230, 15226, 15222])).
% 16.47/11.31 tff(15248,plain,
% 16.47/11.31 (((~![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(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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15249,plain,
% 16.47/11.31 (((~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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15250,plain,
% 16.47/11.31 (((~![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))))),
% 16.47/11.31 inference(monotonicity,[status(thm)],[15249])).
% 16.47/11.31 tff(15251,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(transitivity,[status(thm)],[15250, 15248])).
% 16.47/11.31 tff(15252,plain,
% 16.47/11.31 ((~![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))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15253,plain,
% 16.47/11.31 ((~![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(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15252, 15251])).
% 16.47/11.31 tff(15254,plain,
% 16.47/11.31 (m_main_v_state2(s187, c_t2)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15253, 518, 15151, 15247])).
% 16.47/11.31 tff(15255,plain,
% 16.47/11.31 (succ(s187, s188) <=> succ(s187, s188)),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15256,axiom,(succ(s187, s188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound188')).
% 16.47/11.31 tff(15257,plain,
% 16.47/11.31 (succ(s187, s188)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15256, 15255])).
% 16.47/11.31 tff(15258,plain,
% 16.47/11.31 (((~![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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15259,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15260,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15259, 15258])).
% 16.47/11.31 tff(15261,plain,
% 16.47/11.31 (trans(s187, s188)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15260, 15257, 32])).
% 16.47/11.31 tff(15262,plain,
% 16.47/11.31 (((~![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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15263,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s187, s188)) | node7(s187, s188))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15264,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s187, s188)) | node7(s187, s188)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15263, 15262])).
% 16.47/11.31 tff(15265,plain,
% 16.47/11.31 (node7(s187, s188)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15264, 206, 15261])).
% 16.47/11.31 tff(15266,plain,
% 16.47/11.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15267,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15268,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15267, 15266])).
% 16.47/11.31 tff(15269,plain,
% 16.47/11.31 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | m_main_v_state1(s188, c_t1)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15268, 651, 15265])).
% 16.47/11.31 tff(15270,plain,
% 16.47/11.31 (m_main_v_state1(s188, c_t1)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15269, 15254, 15198])).
% 16.47/11.31 tff(15271,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15272,plain,
% 16.47/11.31 ((~![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)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15273,plain,
% 16.47/11.31 ((~![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))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15272, 15271])).
% 16.47/11.31 tff(15274,plain,
% 16.47/11.31 (~m_main_v_state1(s188, c_n1)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15273, 10, 15270])).
% 16.47/11.31 tff(15275,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15276,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s188, c_n1) | (~node1(s188)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15277,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s188, c_n1) | (~node1(s188))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 16.47/11.31 tff(15278,plain,
% 16.47/11.31 (~node1(s188)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15277, 421, 15274])).
% 16.47/11.31 tff(15279,plain,
% 16.47/11.31 (((~![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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15280,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s187, s188)) | node18(s187, s188))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15281,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s187, s188)) | node18(s187, s188)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15280, 15279])).
% 16.47/11.31 tff(15282,plain,
% 16.47/11.31 (node18(s187, s188)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15281, 125, 15261])).
% 16.47/11.31 tff(15283,plain,
% 16.47/11.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15284,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15285,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15284, 15283])).
% 16.47/11.31 tff(15286,plain,
% 16.47/11.31 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | m_main_v_turn(s188, c_2)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15285, 760, 15282])).
% 16.47/11.31 tff(15287,plain,
% 16.47/11.31 (m_main_v_turn(s188, c_2)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15286, 15254, 15198])).
% 16.47/11.31 tff(15288,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15289,plain,
% 16.47/11.31 ((~![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)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15290,plain,
% 16.47/11.31 ((~![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))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15289, 15288])).
% 16.47/11.31 tff(15291,plain,
% 16.47/11.31 (~m_main_v_turn(s188, c_1)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15290, 156, 15287])).
% 16.47/11.31 tff(15292,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15293,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s188, c_1) | (~node5(s188)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15294,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s188, c_1) | (~node5(s188))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15293, 15292])).
% 16.47/11.31 tff(15295,plain,
% 16.47/11.31 (~node5(s188)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15294, 776, 15291])).
% 16.47/11.31 tff(15296,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15297,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s188, c_n1) | (~node2(s188)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15298,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s188, c_n1) | (~node2(s188))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15297, 15296])).
% 16.47/11.31 tff(15299,plain,
% 16.47/11.31 (~node2(s188)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15298, 787, 15274])).
% 16.47/11.31 tff(15300,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15301,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s188, c_n1) | (~node3(s188)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15302,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s188, c_n1) | (~node3(s188))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15301, 15300])).
% 16.47/11.31 tff(15303,plain,
% 16.47/11.31 (~node3(s188)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15302, 798, 15274])).
% 16.47/11.31 tff(15304,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15305,plain,
% 16.47/11.31 ((~![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)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15306,plain,
% 16.47/11.31 ((~![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))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15305, 15304])).
% 16.47/11.31 tff(15307,plain,
% 16.47/11.31 (~m_main_v_state1(s188, c_c1)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15306, 539, 15270])).
% 16.47/11.31 tff(15308,plain,
% 16.47/11.31 (((~![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(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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15309,plain,
% 16.47/11.31 (((~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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15310,plain,
% 16.47/11.31 (((~![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))))),
% 16.47/11.31 inference(monotonicity,[status(thm)],[15309])).
% 16.47/11.31 tff(15311,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(transitivity,[status(thm)],[15310, 15308])).
% 16.47/11.31 tff(15312,plain,
% 16.47/11.31 ((~![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)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15313,plain,
% 16.47/11.31 ((~![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(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15312, 15311])).
% 16.47/11.31 tff(15314,plain,
% 16.47/11.31 (~m_main_v_state2(s187, c_n2)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15313, 311, 15155, 15247])).
% 16.47/11.31 tff(15315,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15316,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s187, c_n2) | (~node9(s187)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15317,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s187, c_n2) | (~node9(s187))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15316, 15315])).
% 16.47/11.31 tff(15318,plain,
% 16.47/11.31 (~node9(s187)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15317, 88, 15314])).
% 16.47/11.31 tff(15319,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15320,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s187, c_n2) | (~node10(s187)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15321,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s187, c_n2) | (~node10(s187))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15320, 15319])).
% 16.47/11.31 tff(15322,plain,
% 16.47/11.31 (~node10(s187)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15321, 249, 15314])).
% 16.47/11.31 tff(15323,plain,
% 16.47/11.31 (((~![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)))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15324,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s187, c_n2) | (~node8(s187)))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15325,plain,
% 16.47/11.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s187, c_n2) | (~node8(s187))),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 16.47/11.31 tff(15326,plain,
% 16.47/11.31 (~node8(s187)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15325, 271, 15314])).
% 16.47/11.31 tff(15327,plain,
% 16.47/11.31 (((~![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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15328,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s187, s188)) | node14(s187, s188))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15329,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s187, s188)) | node14(s187, s188)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15328, 15327])).
% 16.47/11.31 tff(15330,plain,
% 16.47/11.31 (node14(s187, s188)),
% 16.47/11.31 inference(unit_resolution,[status(thm)],[15329, 46, 15261])).
% 16.47/11.31 tff(15331,plain,
% 16.47/11.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.47/11.31 inference(rewrite,[status(thm)],[])).
% 16.47/11.31 tff(15332,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.47/11.31 inference(quant_inst,[status(thm)],[])).
% 16.47/11.31 tff(15333,plain,
% 16.47/11.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 16.47/11.31 inference(modus_ponens,[status(thm)],[15332, 15331])).
% 16.47/11.32 tff(15334,plain,
% 16.47/11.32 ((~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)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15333, 617, 15330])).
% 16.47/11.32 tff(15335,plain,
% 16.47/11.32 (m_main_v_state2(s188, c_c2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15334, 15326, 15198, 15254, 15322, 15318])).
% 16.47/11.32 tff(15336,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15337,plain,
% 16.47/11.32 ((~![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)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15338,plain,
% 16.47/11.32 ((~![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))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15337, 15336])).
% 16.47/11.32 tff(15339,plain,
% 16.47/11.32 (~m_main_v_state2(s188, c_n2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15338, 697, 15335])).
% 16.47/11.32 tff(15340,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15341,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s188, c_n2) | (~node4(s188)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15342,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s188, c_n2) | (~node4(s188))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15341, 15340])).
% 16.47/11.32 tff(15343,plain,
% 16.47/11.32 (~node4(s188)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15342, 388, 15339])).
% 16.47/11.32 tff(15344,plain,
% 16.47/11.32 (succ(s188, s189) <=> succ(s188, s189)),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15345,axiom,(succ(s188, s189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound189')).
% 16.47/11.32 tff(15346,plain,
% 16.47/11.32 (succ(s188, s189)),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15345, 15344])).
% 16.47/11.32 tff(15347,plain,
% 16.47/11.32 (((~![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))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15348,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15349,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189)),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15348, 15347])).
% 16.47/11.32 tff(15350,plain,
% 16.47/11.32 (trans(s188, s189)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15349, 15346, 32])).
% 16.47/11.32 tff(15351,plain,
% 16.47/11.32 (((~![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))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15352,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s188, s189)) | node7(s188, s189))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15353,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s188, s189)) | node7(s188, s189)),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15352, 15351])).
% 16.47/11.32 tff(15354,plain,
% 16.47/11.32 (node7(s188, s189)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15353, 206, 15350])).
% 16.47/11.32 tff(15355,plain,
% 16.47/11.32 (((~![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(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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15356,plain,
% 16.47/11.32 ((~![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(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15357,plain,
% 16.47/11.32 ((~![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(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15356, 15355])).
% 16.47/11.32 tff(15358,plain,
% 16.47/11.32 (m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15357, 820, 15354])).
% 16.47/11.32 tff(15359,plain,
% 16.47/11.32 (node6(s188, s189)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15358, 15343, 15307, 15303, 15299, 15295, 15278])).
% 16.47/11.32 tff(15360,plain,
% 16.47/11.32 (((~![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(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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15361,plain,
% 16.47/11.32 (((~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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15362,plain,
% 16.47/11.32 (((~![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))))),
% 16.47/11.32 inference(monotonicity,[status(thm)],[15361])).
% 16.47/11.32 tff(15363,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(transitivity,[status(thm)],[15362, 15360])).
% 16.47/11.32 tff(15364,plain,
% 16.47/11.32 ((~![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))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15365,plain,
% 16.47/11.32 ((~![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(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15364, 15363])).
% 16.47/11.32 tff(15366,plain,
% 16.47/11.32 (m_main_v_state1(s189, c_t1)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15365, 856, 15270, 15359])).
% 16.47/11.32 tff(15367,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15368,plain,
% 16.47/11.32 ((~![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)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15369,plain,
% 16.47/11.32 ((~![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))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 16.47/11.32 tff(15370,plain,
% 16.47/11.32 (~m_main_v_state2(s188, c_t2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15369, 260, 15335])).
% 16.47/11.32 tff(15371,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15372,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s188, c_t2) | (~node12(s188)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15373,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s188, c_t2) | (~node12(s188))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 16.47/11.32 tff(15374,plain,
% 16.47/11.32 (~node12(s188)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15373, 633, 15370])).
% 16.47/11.32 tff(15375,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15376,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s188, c_n1) | (~node11(s188)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15377,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s188, c_n1) | (~node11(s188))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15376, 15375])).
% 16.47/11.32 tff(15378,plain,
% 16.47/11.32 (~node11(s188)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15377, 238, 15274])).
% 16.47/11.32 tff(15379,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15380,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s188, c_c1) | (~node10(s188)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15381,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s188, c_c1) | (~node10(s188))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 16.47/11.32 tff(15382,plain,
% 16.47/11.32 (~node10(s188)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15381, 675, 15307])).
% 16.47/11.32 tff(15383,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15384,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s188, c_n1) | (~node9(s188)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15385,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s188, c_n1) | (~node9(s188))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15384, 15383])).
% 16.47/11.32 tff(15386,plain,
% 16.47/11.32 (~node9(s188)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15385, 686, 15274])).
% 16.47/11.32 tff(15387,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15388,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s188, c_n2) | (~node8(s188)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15389,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s188, c_n2) | (~node8(s188))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15388, 15387])).
% 16.47/11.32 tff(15390,plain,
% 16.47/11.32 (~node8(s188)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15389, 271, 15339])).
% 16.47/11.32 tff(15391,plain,
% 16.47/11.32 (((~![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))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15392,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s188, s189)) | node14(s188, s189))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15393,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s188, s189)) | node14(s188, s189)),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15392, 15391])).
% 16.47/11.32 tff(15394,plain,
% 16.47/11.32 (node14(s188, s189)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15393, 46, 15350])).
% 16.47/11.32 tff(15395,plain,
% 16.47/11.32 (((~![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(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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15396,plain,
% 16.47/11.32 (((~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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15397,plain,
% 16.47/11.32 (((~![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(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))))),
% 16.47/11.32 inference(monotonicity,[status(thm)],[15396])).
% 16.47/11.32 tff(15398,plain,
% 16.47/11.32 (((~![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(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)))),
% 16.47/11.32 inference(transitivity,[status(thm)],[15397, 15395])).
% 16.47/11.32 tff(15399,plain,
% 16.47/11.32 ((~![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(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15400,plain,
% 16.47/11.32 ((~![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(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 16.47/11.32 tff(15401,plain,
% 16.47/11.32 (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~m_main_v_state2(s188, c_c2))),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15400, 726, 15394])).
% 16.47/11.32 tff(15402,plain,
% 16.47/11.32 (m_main_v_state2(s189, c_n2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15401, 15390, 15335, 15386, 15382, 15378, 15374])).
% 16.47/11.32 tff(15403,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15404,plain,
% 16.47/11.32 ((~![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)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15405,plain,
% 16.47/11.32 ((~![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))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15404, 15403])).
% 16.47/11.32 tff(15406,plain,
% 16.47/11.32 (~m_main_v_state2(s189, c_t2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15405, 77, 15402])).
% 16.47/11.32 tff(15407,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15408,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s189, c_t2) | (~node15(s189)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15409,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s189, c_t2) | (~node15(s189))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15408, 15407])).
% 16.47/11.32 tff(15410,plain,
% 16.47/11.32 (~node15(s189)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15409, 103, 15406])).
% 16.47/11.32 tff(15411,plain,
% 16.47/11.32 (succ(s189, s190) <=> succ(s189, s190)),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15412,axiom,(succ(s189, s190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound190')).
% 16.47/11.32 tff(15413,plain,
% 16.47/11.32 (succ(s189, s190)),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15412, 15411])).
% 16.47/11.32 tff(15414,plain,
% 16.47/11.32 (((~![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))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15415,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15416,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190)),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15415, 15414])).
% 16.47/11.32 tff(15417,plain,
% 16.47/11.32 (trans(s189, s190)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15416, 15413, 32])).
% 16.47/11.32 tff(15418,plain,
% 16.47/11.32 (((~![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))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15419,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s189, s190)) | node18(s189, s190))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15420,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s189, s190)) | node18(s189, s190)),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15419, 15418])).
% 16.47/11.32 tff(15421,plain,
% 16.47/11.32 (node18(s189, s190)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15420, 125, 15417])).
% 16.47/11.32 tff(15422,plain,
% 16.47/11.32 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15423,plain,
% 16.47/11.32 (((~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))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15424,plain,
% 16.47/11.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 16.47/11.32 inference(monotonicity,[status(thm)],[15423])).
% 16.47/11.32 tff(15425,plain,
% 16.47/11.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.47/11.32 inference(transitivity,[status(thm)],[15424, 15422])).
% 16.47/11.32 tff(15426,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15427,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15426, 15425])).
% 16.47/11.32 tff(15428,plain,
% 16.47/11.32 (node15(s189) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15427, 992, 15421])).
% 16.47/11.32 tff(15429,plain,
% 16.47/11.32 (m_main_v_turn(s190, c_1)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15428, 15410, 15402, 15366])).
% 16.47/11.32 tff(15430,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15431,plain,
% 16.47/11.32 ((~![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)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15432,plain,
% 16.47/11.32 ((~![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))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15431, 15430])).
% 16.47/11.32 tff(15433,plain,
% 16.47/11.32 (~m_main_v_turn(s190, c_2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15432, 156, 15429])).
% 16.47/11.32 tff(15434,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15435,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s190, c_2) | (~node12(s190)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15436,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s190, c_2) | (~node12(s190))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15435, 15434])).
% 16.47/11.32 tff(15437,plain,
% 16.47/11.32 (~node12(s190)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15436, 184, 15433])).
% 16.47/11.32 tff(15438,plain,
% 16.47/11.32 (((~![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))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15439,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s189, s190)) | node14(s189, s190))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15440,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s189, s190)) | node14(s189, s190)),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15439, 15438])).
% 16.47/11.32 tff(15441,plain,
% 16.47/11.32 (node14(s189, s190)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15440, 46, 15417])).
% 16.47/11.32 tff(15442,plain,
% 16.47/11.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15443,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15444,plain,
% 16.47/11.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15443, 15442])).
% 16.47/11.32 tff(15445,plain,
% 16.47/11.32 ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state2(s190, c_t2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15444, 922, 15441])).
% 16.47/11.32 tff(15446,plain,
% 16.47/11.32 (m_main_v_state2(s190, c_t2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15445, 15366, 15402])).
% 16.47/11.32 tff(15447,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15448,plain,
% 16.47/11.32 ((~![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)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15449,plain,
% 16.47/11.32 ((~![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))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15448, 15447])).
% 16.47/11.32 tff(15450,plain,
% 16.47/11.32 (~m_main_v_state2(s190, c_n2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15449, 77, 15446])).
% 16.47/11.32 tff(15451,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15452,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s190, c_n2) | (~node8(s190)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15453,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s190, c_n2) | (~node8(s190))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15452, 15451])).
% 16.47/11.32 tff(15454,plain,
% 16.47/11.32 (~node8(s190)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15453, 271, 15450])).
% 16.47/11.32 tff(15455,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15456,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s190, c_n2) | (~node9(s190)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15457,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s190, c_n2) | (~node9(s190))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15456, 15455])).
% 16.47/11.32 tff(15458,plain,
% 16.47/11.32 (~node9(s190)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15457, 88, 15450])).
% 16.47/11.32 tff(15459,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15460,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s190, c_n2) | (~node10(s190)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15461,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s190, c_n2) | (~node10(s190))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15460, 15459])).
% 16.47/11.32 tff(15462,plain,
% 16.47/11.32 (~node10(s190)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15461, 249, 15450])).
% 16.47/11.32 tff(15463,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15464,plain,
% 16.47/11.32 ((~![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)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15465,plain,
% 16.47/11.32 ((~![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))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15464, 15463])).
% 16.47/11.32 tff(15466,plain,
% 16.47/11.32 (~m_main_v_state2(s190, c_c2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15465, 260, 15446])).
% 16.47/11.32 tff(15467,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15468,plain,
% 16.47/11.32 ((~![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)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15469,plain,
% 16.47/11.32 ((~![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))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15468, 15467])).
% 16.47/11.32 tff(15470,plain,
% 16.47/11.32 (~m_main_v_state2(s189, c_c2)),
% 16.47/11.32 inference(unit_resolution,[status(thm)],[15469, 697, 15402])).
% 16.47/11.32 tff(15471,plain,
% 16.47/11.32 (((~![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)))),
% 16.47/11.32 inference(rewrite,[status(thm)],[])).
% 16.47/11.32 tff(15472,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s189, c_c2) | (~node3(s189)))),
% 16.47/11.32 inference(quant_inst,[status(thm)],[])).
% 16.47/11.32 tff(15473,plain,
% 16.47/11.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s189, c_c2) | (~node3(s189))),
% 16.47/11.32 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 16.47/11.33 tff(15474,plain,
% 16.47/11.33 (~node3(s189)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15473, 399, 15470])).
% 16.47/11.33 tff(15475,plain,
% 16.47/11.33 (((~![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(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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15476,plain,
% 16.47/11.33 (((~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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15477,plain,
% 16.47/11.33 (((~![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))))),
% 16.47/11.33 inference(monotonicity,[status(thm)],[15476])).
% 16.47/11.33 tff(15478,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(transitivity,[status(thm)],[15477, 15475])).
% 16.47/11.33 tff(15479,plain,
% 16.47/11.33 ((~![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)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15480,plain,
% 16.47/11.33 ((~![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(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15479, 15478])).
% 16.47/11.33 tff(15481,plain,
% 16.47/11.33 (~m_main_v_state1(s189, c_n1)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15480, 835, 15274, 15359])).
% 16.47/11.33 tff(15482,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15483,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s189, c_n1) | (~node2(s189)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15484,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s189, c_n1) | (~node2(s189))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15483, 15482])).
% 16.47/11.33 tff(15485,plain,
% 16.47/11.33 (~node2(s189)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15484, 787, 15481])).
% 16.47/11.33 tff(15486,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15487,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s189, c_t2) | (~node1(s189)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15488,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s189, c_t2) | (~node1(s189))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15487, 15486])).
% 16.47/11.33 tff(15489,plain,
% 16.47/11.33 (~node1(s189)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15488, 195, 15406])).
% 16.47/11.33 tff(15490,plain,
% 16.47/11.33 (((~![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))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15491,plain,
% 16.47/11.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s189, s190)) | node7(s189, s190))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15492,plain,
% 16.47/11.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s189, s190)) | node7(s189, s190)),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 16.47/11.33 tff(15493,plain,
% 16.47/11.33 (node7(s189, s190)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15492, 206, 15417])).
% 16.47/11.33 tff(15494,plain,
% 16.47/11.33 (((~![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(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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15495,plain,
% 16.47/11.33 (((~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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15496,plain,
% 16.47/11.33 (((~![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(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))))),
% 16.47/11.33 inference(monotonicity,[status(thm)],[15495])).
% 16.47/11.33 tff(15497,plain,
% 16.47/11.33 (((~![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(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)))),
% 16.47/11.33 inference(transitivity,[status(thm)],[15496, 15494])).
% 16.47/11.33 tff(15498,plain,
% 16.47/11.33 ((~![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(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))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15499,plain,
% 16.47/11.33 ((~![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(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))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15498, 15497])).
% 16.47/11.33 tff(15500,plain,
% 16.47/11.33 ((~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)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15499, 892, 15493])).
% 16.47/11.33 tff(15501,plain,
% 16.47/11.33 (m_main_v_state1(s190, c_c1)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15500, 15489, 15402, 15366, 15485, 15474])).
% 16.47/11.33 tff(15502,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15503,plain,
% 16.47/11.33 ((~![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)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15504,plain,
% 16.47/11.33 ((~![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))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15503, 15502])).
% 16.47/11.33 tff(15505,plain,
% 16.47/11.33 (~m_main_v_state1(s190, c_n1)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15504, 454, 15501])).
% 16.47/11.33 tff(15506,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15507,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s190, c_n1) | (~node11(s190)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15508,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s190, c_n1) | (~node11(s190))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15507, 15506])).
% 16.47/11.33 tff(15509,plain,
% 16.47/11.33 (~node11(s190)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15508, 238, 15505])).
% 16.47/11.33 tff(15510,plain,
% 16.47/11.33 (succ(s190, s191) <=> succ(s190, s191)),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15511,axiom,(succ(s190, s191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound191')).
% 16.47/11.33 tff(15512,plain,
% 16.47/11.33 (succ(s190, s191)),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15511, 15510])).
% 16.47/11.33 tff(15513,plain,
% 16.47/11.33 (((~![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))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15514,plain,
% 16.47/11.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15515,plain,
% 16.47/11.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191)),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15514, 15513])).
% 16.47/11.33 tff(15516,plain,
% 16.47/11.33 (trans(s190, s191)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15515, 15512, 32])).
% 16.47/11.33 tff(15517,plain,
% 16.47/11.33 (((~![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))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15518,plain,
% 16.47/11.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s190, s191)) | node14(s190, s191))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15519,plain,
% 16.47/11.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s190, s191)) | node14(s190, s191)),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15518, 15517])).
% 16.47/11.33 tff(15520,plain,
% 16.47/11.33 (node14(s190, s191)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15519, 46, 15516])).
% 16.47/11.33 tff(15521,plain,
% 16.47/11.33 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15522,plain,
% 16.47/11.33 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15523,plain,
% 16.47/11.33 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15522, 15521])).
% 16.47/11.33 tff(15524,plain,
% 16.47/11.33 (m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15523, 296, 15520])).
% 16.47/11.33 tff(15525,plain,
% 16.47/11.33 (node13(s190, s191)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15524, 15509, 15466, 15462, 15458, 15454, 15437])).
% 16.47/11.33 tff(15526,plain,
% 16.47/11.33 (((~![V: $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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15527,plain,
% 16.47/11.33 (((~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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15528,plain,
% 16.47/11.33 (((~![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))))),
% 16.47/11.33 inference(monotonicity,[status(thm)],[15527])).
% 16.47/11.33 tff(15529,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(transitivity,[status(thm)],[15528, 15526])).
% 16.47/11.33 tff(15530,plain,
% 16.47/11.33 ((~![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)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15531,plain,
% 16.47/11.33 ((~![V: $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))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15530, 15529])).
% 16.47/11.33 tff(15532,plain,
% 16.47/11.33 (~m_main_v_state2(s191, c_n2)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15531, 311, 15450, 15525])).
% 16.47/11.33 tff(15533,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15534,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s191, c_n2) | (~node9(s191)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15535,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s191, c_n2) | (~node9(s191))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15534, 15533])).
% 16.47/11.33 tff(15536,plain,
% 16.47/11.33 (~node9(s191)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15535, 88, 15532])).
% 16.47/11.33 tff(15537,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15538,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s191, c_n2) | (~node10(s191)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15539,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s191, c_n2) | (~node10(s191))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15538, 15537])).
% 16.47/11.33 tff(15540,plain,
% 16.47/11.33 (~node10(s191)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15539, 249, 15532])).
% 16.47/11.33 tff(15541,plain,
% 16.47/11.33 (((~![V: $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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15542,plain,
% 16.47/11.33 (((~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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15543,plain,
% 16.47/11.33 (((~![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))))),
% 16.47/11.33 inference(monotonicity,[status(thm)],[15542])).
% 16.47/11.33 tff(15544,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(transitivity,[status(thm)],[15543, 15541])).
% 16.47/11.33 tff(15545,plain,
% 16.47/11.33 ((~![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))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15546,plain,
% 16.47/11.33 ((~![V: $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))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15545, 15544])).
% 16.47/11.33 tff(15547,plain,
% 16.47/11.33 (m_main_v_state2(s191, c_t2)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15546, 518, 15446, 15525])).
% 16.47/11.33 tff(15548,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15549,plain,
% 16.47/11.33 ((~![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)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15550,plain,
% 16.47/11.33 ((~![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))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15549, 15548])).
% 16.47/11.33 tff(15551,plain,
% 16.47/11.33 (~m_main_v_state1(s190, c_t1)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15550, 539, 15501])).
% 16.47/11.33 tff(15552,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15553,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s190, c_t1) | (~node5(s190)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15554,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s190, c_t1) | (~node5(s190))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15553, 15552])).
% 16.47/11.33 tff(15555,plain,
% 16.47/11.33 (~node5(s190)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15554, 550, 15551])).
% 16.47/11.33 tff(15556,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15557,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s190, c_n2) | (~node4(s190)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15558,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s190, c_n2) | (~node4(s190))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15557, 15556])).
% 16.47/11.33 tff(15559,plain,
% 16.47/11.33 (~node4(s190)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15558, 388, 15450])).
% 16.47/11.33 tff(15560,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15561,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s190, c_c2) | (~node3(s190)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15562,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s190, c_c2) | (~node3(s190))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15561, 15560])).
% 16.47/11.33 tff(15563,plain,
% 16.47/11.33 (~node3(s190)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15562, 399, 15466])).
% 16.47/11.33 tff(15564,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15565,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s190, c_n2) | (~node2(s190)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15566,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s190, c_n2) | (~node2(s190))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15565, 15564])).
% 16.47/11.33 tff(15567,plain,
% 16.47/11.33 (~node2(s190)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15566, 410, 15450])).
% 16.47/11.33 tff(15568,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15569,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s190, c_n1) | (~node1(s190)))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15570,plain,
% 16.47/11.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s190, c_n1) | (~node1(s190))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15569, 15568])).
% 16.47/11.33 tff(15571,plain,
% 16.47/11.33 (~node1(s190)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15570, 421, 15505])).
% 16.47/11.33 tff(15572,plain,
% 16.47/11.33 (((~![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))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15573,plain,
% 16.47/11.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s190, s191)) | node7(s190, s191))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15574,plain,
% 16.47/11.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s190, s191)) | node7(s190, s191)),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15573, 15572])).
% 16.47/11.33 tff(15575,plain,
% 16.47/11.33 (node7(s190, s191)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15574, 206, 15516])).
% 16.47/11.33 tff(15576,plain,
% 16.47/11.33 (((~![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(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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15577,plain,
% 16.47/11.33 (((~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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.33 tff(15578,plain,
% 16.47/11.33 (((~![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(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))))),
% 16.47/11.33 inference(monotonicity,[status(thm)],[15577])).
% 16.47/11.33 tff(15579,plain,
% 16.47/11.33 (((~![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(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)))),
% 16.47/11.33 inference(transitivity,[status(thm)],[15578, 15576])).
% 16.47/11.33 tff(15580,plain,
% 16.47/11.33 ((~![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(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)) | m_main_v_state1(s191, c_n1))),
% 16.47/11.33 inference(quant_inst,[status(thm)],[])).
% 16.47/11.33 tff(15581,plain,
% 16.47/11.33 ((~![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(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191))),
% 16.47/11.33 inference(modus_ponens,[status(thm)],[15580, 15579])).
% 16.47/11.33 tff(15582,plain,
% 16.47/11.33 (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15581, 584, 15575])).
% 16.47/11.33 tff(15583,plain,
% 16.47/11.33 (m_main_v_state1(s191, c_n1)),
% 16.47/11.33 inference(unit_resolution,[status(thm)],[15582, 15571, 15501, 15567, 15563, 15559, 15555])).
% 16.47/11.33 tff(15584,plain,
% 16.47/11.33 (((~![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)))),
% 16.47/11.33 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15585,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s191, c_n2) | (~node8(s191)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15586,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s191, c_n2) | (~node8(s191))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15585, 15584])).
% 16.47/11.34 tff(15587,plain,
% 16.47/11.34 (~node8(s191)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15586, 271, 15532])).
% 16.47/11.34 tff(15588,plain,
% 16.47/11.34 (succ(s191, s192) <=> succ(s191, s192)),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15589,axiom,(succ(s191, s192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound192')).
% 16.47/11.34 tff(15590,plain,
% 16.47/11.34 (succ(s191, s192)),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15589, 15588])).
% 16.47/11.34 tff(15591,plain,
% 16.47/11.34 (((~![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))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15592,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15593,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192)),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15592, 15591])).
% 16.47/11.34 tff(15594,plain,
% 16.47/11.34 (trans(s191, s192)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15593, 15590, 32])).
% 16.47/11.34 tff(15595,plain,
% 16.47/11.34 (((~![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))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15596,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s191, s192)) | node14(s191, s192))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15597,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s191, s192)) | node14(s191, s192)),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15596, 15595])).
% 16.47/11.34 tff(15598,plain,
% 16.47/11.34 (node14(s191, s192)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15597, 46, 15594])).
% 16.47/11.34 tff(15599,plain,
% 16.47/11.34 (((~![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(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))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15600,plain,
% 16.47/11.34 ((~![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(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))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15601,plain,
% 16.47/11.34 ((~![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(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)),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15600, 15599])).
% 16.47/11.34 tff(15602,plain,
% 16.47/11.34 ((~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)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15601, 617, 15598])).
% 16.47/11.34 tff(15603,plain,
% 16.47/11.34 (m_main_v_state2(s192, c_c2)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15602, 15587, 15583, 15547, 15540, 15536])).
% 16.47/11.34 tff(15604,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15605,plain,
% 16.47/11.34 ((~![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)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15606,plain,
% 16.47/11.34 ((~![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))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 16.47/11.34 tff(15607,plain,
% 16.47/11.34 (~m_main_v_state2(s192, c_t2)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15606, 260, 15603])).
% 16.47/11.34 tff(15608,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15609,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s192, c_t2) | (~node12(s192)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15610,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s192, c_t2) | (~node12(s192))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 16.47/11.34 tff(15611,plain,
% 16.47/11.34 (~node12(s192)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15610, 633, 15607])).
% 16.47/11.34 tff(15612,plain,
% 16.47/11.34 (((~![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))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15613,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s191, s192)) | node7(s191, s192))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15614,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s191, s192)) | node7(s191, s192)),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15613, 15612])).
% 16.47/11.34 tff(15615,plain,
% 16.47/11.34 (node7(s191, s192)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15614, 206, 15594])).
% 16.47/11.34 tff(15616,plain,
% 16.47/11.34 (((~![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(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))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15617,plain,
% 16.47/11.34 ((~![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(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15618,plain,
% 16.47/11.34 ((~![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(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1)),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15617, 15616])).
% 16.47/11.34 tff(15619,plain,
% 16.47/11.34 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | m_main_v_state1(s192, c_t1)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15618, 651, 15615])).
% 16.47/11.34 tff(15620,plain,
% 16.47/11.34 (m_main_v_state1(s192, c_t1)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15619, 15547, 15583])).
% 16.47/11.34 tff(15621,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15622,plain,
% 16.47/11.34 ((~![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)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15623,plain,
% 16.47/11.34 ((~![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))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 16.47/11.34 tff(15624,plain,
% 16.47/11.34 (~m_main_v_state1(s192, c_n1)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15623, 10, 15620])).
% 16.47/11.34 tff(15625,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15626,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s192, c_n1) | (~node11(s192)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15627,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s192, c_n1) | (~node11(s192))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15626, 15625])).
% 16.47/11.34 tff(15628,plain,
% 16.47/11.34 (~node11(s192)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15627, 238, 15624])).
% 16.47/11.34 tff(15629,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15630,plain,
% 16.47/11.34 ((~![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)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15631,plain,
% 16.47/11.34 ((~![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))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15630, 15629])).
% 16.47/11.34 tff(15632,plain,
% 16.47/11.34 (~m_main_v_state1(s192, c_c1)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15631, 539, 15620])).
% 16.47/11.34 tff(15633,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15634,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s192, c_c1) | (~node10(s192)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15635,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s192, c_c1) | (~node10(s192))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15634, 15633])).
% 16.47/11.34 tff(15636,plain,
% 16.47/11.34 (~node10(s192)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15635, 675, 15632])).
% 16.47/11.34 tff(15637,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15638,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s192, c_n1) | (~node9(s192)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15639,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s192, c_n1) | (~node9(s192))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15638, 15637])).
% 16.47/11.34 tff(15640,plain,
% 16.47/11.34 (~node9(s192)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15639, 686, 15624])).
% 16.47/11.34 tff(15641,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15642,plain,
% 16.47/11.34 ((~![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)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15643,plain,
% 16.47/11.34 ((~![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))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15642, 15641])).
% 16.47/11.34 tff(15644,plain,
% 16.47/11.34 (~m_main_v_state2(s192, c_n2)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15643, 697, 15603])).
% 16.47/11.34 tff(15645,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15646,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s192, c_n2) | (~node8(s192)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15647,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s192, c_n2) | (~node8(s192))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15646, 15645])).
% 16.47/11.34 tff(15648,plain,
% 16.47/11.34 (~node8(s192)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15647, 271, 15644])).
% 16.47/11.34 tff(15649,plain,
% 16.47/11.34 (succ(s192, s193) <=> succ(s192, s193)),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15650,axiom,(succ(s192, s193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound193')).
% 16.47/11.34 tff(15651,plain,
% 16.47/11.34 (succ(s192, s193)),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15650, 15649])).
% 16.47/11.34 tff(15652,plain,
% 16.47/11.34 (((~![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))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15653,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15654,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193)),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15653, 15652])).
% 16.47/11.34 tff(15655,plain,
% 16.47/11.34 (trans(s192, s193)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15654, 15651, 32])).
% 16.47/11.34 tff(15656,plain,
% 16.47/11.34 (((~![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))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15657,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s192, s193)) | node14(s192, s193))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15658,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s192, s193)) | node14(s192, s193)),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15657, 15656])).
% 16.47/11.34 tff(15659,plain,
% 16.47/11.34 (node14(s192, s193)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15658, 46, 15655])).
% 16.47/11.34 tff(15660,plain,
% 16.47/11.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15661,plain,
% 16.47/11.34 (((~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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15662,plain,
% 16.47/11.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 16.47/11.34 inference(monotonicity,[status(thm)],[15661])).
% 16.47/11.34 tff(15663,plain,
% 16.47/11.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.47/11.34 inference(transitivity,[status(thm)],[15662, 15660])).
% 16.47/11.34 tff(15664,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15665,plain,
% 16.47/11.34 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15664, 15663])).
% 16.47/11.34 tff(15666,plain,
% 16.47/11.34 (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~m_main_v_state2(s192, c_c2))),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15665, 726, 15659])).
% 16.47/11.34 tff(15667,plain,
% 16.47/11.34 (m_main_v_state2(s193, c_n2)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15666, 15648, 15603, 15640, 15636, 15628, 15611])).
% 16.47/11.34 tff(15668,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15669,plain,
% 16.47/11.34 ((~![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)))),
% 16.47/11.34 inference(quant_inst,[status(thm)],[])).
% 16.47/11.34 tff(15670,plain,
% 16.47/11.34 ((~![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))),
% 16.47/11.34 inference(modus_ponens,[status(thm)],[15669, 15668])).
% 16.47/11.34 tff(15671,plain,
% 16.47/11.34 (~m_main_v_state2(s193, c_c2)),
% 16.47/11.34 inference(unit_resolution,[status(thm)],[15670, 697, 15667])).
% 16.47/11.34 tff(15672,plain,
% 16.47/11.34 (((~![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)))),
% 16.47/11.34 inference(rewrite,[status(thm)],[])).
% 16.47/11.34 tff(15673,plain,
% 16.47/11.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s193, c_c2) | (~node3(s193)))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15674,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s193, c_c2) | (~node3(s193))),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15673, 15672])).
% 16.55/11.34 tff(15675,plain,
% 16.55/11.34 (~node3(s193)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15674, 399, 15671])).
% 16.55/11.34 tff(15676,plain,
% 16.55/11.34 (((~![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)))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15677,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s192, c_n1) | (~node1(s192)))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15678,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s192, c_n1) | (~node1(s192))),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15677, 15676])).
% 16.55/11.34 tff(15679,plain,
% 16.55/11.34 (~node1(s192)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15678, 421, 15624])).
% 16.55/11.34 tff(15680,plain,
% 16.55/11.34 (((~![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))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15681,plain,
% 16.55/11.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s191, s192)) | node18(s191, s192))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15682,plain,
% 16.55/11.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s191, s192)) | node18(s191, s192)),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15681, 15680])).
% 16.55/11.34 tff(15683,plain,
% 16.55/11.34 (node18(s191, s192)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15682, 125, 15594])).
% 16.55/11.34 tff(15684,plain,
% 16.55/11.34 (((~![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(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))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15685,plain,
% 16.55/11.34 ((~![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(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15686,plain,
% 16.55/11.34 ((~![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(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2)),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 16.55/11.34 tff(15687,plain,
% 16.55/11.34 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | m_main_v_turn(s192, c_2)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15686, 760, 15683])).
% 16.55/11.34 tff(15688,plain,
% 16.55/11.34 (m_main_v_turn(s192, c_2)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15687, 15547, 15583])).
% 16.55/11.34 tff(15689,plain,
% 16.55/11.34 (((~![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)))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15690,plain,
% 16.55/11.34 ((~![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)))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15691,plain,
% 16.55/11.34 ((~![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))),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15690, 15689])).
% 16.55/11.34 tff(15692,plain,
% 16.55/11.34 (~m_main_v_turn(s192, c_1)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15691, 156, 15688])).
% 16.55/11.34 tff(15693,plain,
% 16.55/11.34 (((~![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)))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15694,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s192, c_1) | (~node5(s192)))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15695,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s192, c_1) | (~node5(s192))),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15694, 15693])).
% 16.55/11.34 tff(15696,plain,
% 16.55/11.34 (~node5(s192)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15695, 776, 15692])).
% 16.55/11.34 tff(15697,plain,
% 16.55/11.34 (((~![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)))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15698,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s192, c_n1) | (~node2(s192)))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15699,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s192, c_n1) | (~node2(s192))),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15698, 15697])).
% 16.55/11.34 tff(15700,plain,
% 16.55/11.34 (~node2(s192)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15699, 787, 15624])).
% 16.55/11.34 tff(15701,plain,
% 16.55/11.34 (((~![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)))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15702,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s192, c_n1) | (~node3(s192)))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15703,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s192, c_n1) | (~node3(s192))),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 16.55/11.34 tff(15704,plain,
% 16.55/11.34 (~node3(s192)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15703, 798, 15624])).
% 16.55/11.34 tff(15705,plain,
% 16.55/11.34 (((~![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)))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15706,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s192, c_n2) | (~node4(s192)))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15707,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s192, c_n2) | (~node4(s192))),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15706, 15705])).
% 16.55/11.34 tff(15708,plain,
% 16.55/11.34 (~node4(s192)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15707, 388, 15644])).
% 16.55/11.34 tff(15709,plain,
% 16.55/11.34 (((~![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))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15710,plain,
% 16.55/11.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s192, s193)) | node7(s192, s193))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15711,plain,
% 16.55/11.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s192, s193)) | node7(s192, s193)),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15710, 15709])).
% 16.55/11.34 tff(15712,plain,
% 16.55/11.34 (node7(s192, s193)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15711, 206, 15655])).
% 16.55/11.34 tff(15713,plain,
% 16.55/11.34 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15714,plain,
% 16.55/11.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193)))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15715,plain,
% 16.55/11.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193))),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15714, 15713])).
% 16.55/11.34 tff(15716,plain,
% 16.55/11.34 (m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15715, 820, 15712])).
% 16.55/11.34 tff(15717,plain,
% 16.55/11.34 (node6(s192, s193)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15716, 15708, 15632, 15704, 15700, 15696, 15679])).
% 16.55/11.34 tff(15718,plain,
% 16.55/11.34 (((~![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(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)))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15719,plain,
% 16.55/11.34 (((~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)))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15720,plain,
% 16.55/11.34 (((~![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))))),
% 16.55/11.34 inference(monotonicity,[status(thm)],[15719])).
% 16.55/11.34 tff(15721,plain,
% 16.55/11.34 (((~![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)))),
% 16.55/11.34 inference(transitivity,[status(thm)],[15720, 15718])).
% 16.55/11.34 tff(15722,plain,
% 16.55/11.34 ((~![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)))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15723,plain,
% 16.55/11.34 ((~![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(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193))),
% 16.55/11.34 inference(modus_ponens,[status(thm)],[15722, 15721])).
% 16.55/11.34 tff(15724,plain,
% 16.55/11.34 (~m_main_v_state1(s193, c_n1)),
% 16.55/11.34 inference(unit_resolution,[status(thm)],[15723, 835, 15624, 15717])).
% 16.55/11.34 tff(15725,plain,
% 16.55/11.34 (((~![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)))),
% 16.55/11.34 inference(rewrite,[status(thm)],[])).
% 16.55/11.34 tff(15726,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s193, c_n1) | (~node2(s193)))),
% 16.55/11.34 inference(quant_inst,[status(thm)],[])).
% 16.55/11.34 tff(15727,plain,
% 16.55/11.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s193, c_n1) | (~node2(s193))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15726, 15725])).
% 16.55/11.35 tff(15728,plain,
% 16.55/11.35 (~node2(s193)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15727, 787, 15724])).
% 16.55/11.35 tff(15729,plain,
% 16.55/11.35 (((~![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(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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15730,plain,
% 16.55/11.35 (((~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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15731,plain,
% 16.55/11.35 (((~![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))))),
% 16.55/11.35 inference(monotonicity,[status(thm)],[15730])).
% 16.55/11.35 tff(15732,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(transitivity,[status(thm)],[15731, 15729])).
% 16.55/11.35 tff(15733,plain,
% 16.55/11.35 ((~![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))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15734,plain,
% 16.55/11.35 ((~![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(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15733, 15732])).
% 16.55/11.35 tff(15735,plain,
% 16.55/11.35 (m_main_v_state1(s193, c_t1)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15734, 856, 15620, 15717])).
% 16.55/11.35 tff(15736,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15737,plain,
% 16.55/11.35 ((~![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)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15738,plain,
% 16.55/11.35 ((~![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))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 16.55/11.35 tff(15739,plain,
% 16.55/11.35 (~m_main_v_state2(s193, c_t2)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15738, 77, 15667])).
% 16.55/11.35 tff(15740,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15741,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s193, c_t2) | (~node1(s193)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15742,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s193, c_t2) | (~node1(s193))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15741, 15740])).
% 16.55/11.35 tff(15743,plain,
% 16.55/11.35 (~node1(s193)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15742, 195, 15739])).
% 16.55/11.35 tff(15744,plain,
% 16.55/11.35 (succ(s193, s194) <=> succ(s193, s194)),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15745,axiom,(succ(s193, s194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound194')).
% 16.55/11.35 tff(15746,plain,
% 16.55/11.35 (succ(s193, s194)),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15745, 15744])).
% 16.55/11.35 tff(15747,plain,
% 16.55/11.35 (((~![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))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15748,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15749,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194)),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15748, 15747])).
% 16.55/11.35 tff(15750,plain,
% 16.55/11.35 (trans(s193, s194)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15749, 15746, 32])).
% 16.55/11.35 tff(15751,plain,
% 16.55/11.35 (((~![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))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15752,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s193, s194)) | node7(s193, s194))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15753,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s193, s194)) | node7(s193, s194)),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15752, 15751])).
% 16.55/11.35 tff(15754,plain,
% 16.55/11.35 (node7(s193, s194)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15753, 206, 15750])).
% 16.55/11.35 tff(15755,plain,
% 16.55/11.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15756,plain,
% 16.55/11.35 (((~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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15757,plain,
% 16.55/11.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 16.55/11.35 inference(monotonicity,[status(thm)],[15756])).
% 16.55/11.35 tff(15758,plain,
% 16.55/11.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.55/11.35 inference(transitivity,[status(thm)],[15757, 15755])).
% 16.55/11.35 tff(15759,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15760,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15759, 15758])).
% 16.55/11.35 tff(15761,plain,
% 16.55/11.35 ((~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)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15760, 892, 15754])).
% 16.55/11.35 tff(15762,plain,
% 16.55/11.35 (m_main_v_state1(s194, c_c1)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15761, 15743, 15667, 15735, 15728, 15675])).
% 16.55/11.35 tff(15763,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15764,plain,
% 16.55/11.35 ((~![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)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15765,plain,
% 16.55/11.35 ((~![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))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15764, 15763])).
% 16.55/11.35 tff(15766,plain,
% 16.55/11.35 (~m_main_v_state1(s194, c_t1)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15765, 539, 15762])).
% 16.55/11.35 tff(15767,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15768,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s194, c_t1) | (~node5(s194)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15769,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s194, c_t1) | (~node5(s194))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 16.55/11.35 tff(15770,plain,
% 16.55/11.35 (~node5(s194)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15769, 550, 15766])).
% 16.55/11.35 tff(15771,plain,
% 16.55/11.35 (((~![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))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15772,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s193, s194)) | node14(s193, s194))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15773,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s193, s194)) | node14(s193, s194)),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15772, 15771])).
% 16.55/11.35 tff(15774,plain,
% 16.55/11.35 (node14(s193, s194)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15773, 46, 15750])).
% 16.55/11.35 tff(15775,plain,
% 16.55/11.35 (((~![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(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))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15776,plain,
% 16.55/11.35 ((~![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(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15777,plain,
% 16.55/11.35 ((~![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(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2)),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15776, 15775])).
% 16.55/11.35 tff(15778,plain,
% 16.55/11.35 ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state2(s194, c_t2)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15777, 922, 15774])).
% 16.55/11.35 tff(15779,plain,
% 16.55/11.35 (m_main_v_state2(s194, c_t2)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15778, 15735, 15667])).
% 16.55/11.35 tff(15780,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15781,plain,
% 16.55/11.35 ((~![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)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15782,plain,
% 16.55/11.35 ((~![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))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15781, 15780])).
% 16.55/11.35 tff(15783,plain,
% 16.55/11.35 (~m_main_v_state2(s194, c_n2)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15782, 77, 15779])).
% 16.55/11.35 tff(15784,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15785,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s194, c_n2) | (~node4(s194)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15786,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s194, c_n2) | (~node4(s194))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15785, 15784])).
% 16.55/11.35 tff(15787,plain,
% 16.55/11.35 (~node4(s194)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15786, 388, 15783])).
% 16.55/11.35 tff(15788,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15789,plain,
% 16.55/11.35 ((~![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)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15790,plain,
% 16.55/11.35 ((~![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))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15789, 15788])).
% 16.55/11.35 tff(15791,plain,
% 16.55/11.35 (~m_main_v_state2(s194, c_c2)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15790, 260, 15779])).
% 16.55/11.35 tff(15792,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15793,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s194, c_c2) | (~node3(s194)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15794,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s194, c_c2) | (~node3(s194))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15793, 15792])).
% 16.55/11.35 tff(15795,plain,
% 16.55/11.35 (~node3(s194)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15794, 399, 15791])).
% 16.55/11.35 tff(15796,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15797,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s194, c_n2) | (~node2(s194)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15798,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s194, c_n2) | (~node2(s194))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15797, 15796])).
% 16.55/11.35 tff(15799,plain,
% 16.55/11.35 (~node2(s194)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15798, 410, 15783])).
% 16.55/11.35 tff(15800,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15801,plain,
% 16.55/11.35 ((~![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)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15802,plain,
% 16.55/11.35 ((~![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))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15801, 15800])).
% 16.55/11.35 tff(15803,plain,
% 16.55/11.35 (~m_main_v_state1(s194, c_n1)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15802, 454, 15762])).
% 16.55/11.35 tff(15804,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15805,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s194, c_n1) | (~node1(s194)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15806,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s194, c_n1) | (~node1(s194))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15805, 15804])).
% 16.55/11.35 tff(15807,plain,
% 16.55/11.35 (~node1(s194)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15806, 421, 15803])).
% 16.55/11.35 tff(15808,plain,
% 16.55/11.35 (succ(s194, s195) <=> succ(s194, s195)),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15809,axiom,(succ(s194, s195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound195')).
% 16.55/11.35 tff(15810,plain,
% 16.55/11.35 (succ(s194, s195)),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15809, 15808])).
% 16.55/11.35 tff(15811,plain,
% 16.55/11.35 (((~![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))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15812,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15813,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195)),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15812, 15811])).
% 16.55/11.35 tff(15814,plain,
% 16.55/11.35 (trans(s194, s195)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15813, 15810, 32])).
% 16.55/11.35 tff(15815,plain,
% 16.55/11.35 (((~![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))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15816,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s194, s195)) | node7(s194, s195))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15817,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s194, s195)) | node7(s194, s195)),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15816, 15815])).
% 16.55/11.35 tff(15818,plain,
% 16.55/11.35 (node7(s194, s195)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15817, 206, 15814])).
% 16.55/11.35 tff(15819,plain,
% 16.55/11.35 (((~![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(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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15820,plain,
% 16.55/11.35 (((~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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15821,plain,
% 16.55/11.35 (((~![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(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))))),
% 16.55/11.35 inference(monotonicity,[status(thm)],[15820])).
% 16.55/11.35 tff(15822,plain,
% 16.55/11.35 (((~![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(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)))),
% 16.55/11.35 inference(transitivity,[status(thm)],[15821, 15819])).
% 16.55/11.35 tff(15823,plain,
% 16.55/11.35 ((~![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(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)) | m_main_v_state1(s195, c_n1))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15824,plain,
% 16.55/11.35 ((~![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(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15823, 15822])).
% 16.55/11.35 tff(15825,plain,
% 16.55/11.35 (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15824, 584, 15818])).
% 16.55/11.35 tff(15826,plain,
% 16.55/11.35 (m_main_v_state1(s195, c_n1)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15825, 15807, 15762, 15799, 15795, 15787, 15770])).
% 16.55/11.35 tff(15827,plain,
% 16.55/11.35 (((~![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)))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15828,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s193, c_t2) | (~node15(s193)))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15829,plain,
% 16.55/11.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s193, c_t2) | (~node15(s193))),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15828, 15827])).
% 16.55/11.35 tff(15830,plain,
% 16.55/11.35 (~node15(s193)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15829, 103, 15739])).
% 16.55/11.35 tff(15831,plain,
% 16.55/11.35 (((~![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))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15832,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s193, s194)) | node18(s193, s194))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15833,plain,
% 16.55/11.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s193, s194)) | node18(s193, s194)),
% 16.55/11.35 inference(modus_ponens,[status(thm)],[15832, 15831])).
% 16.55/11.35 tff(15834,plain,
% 16.55/11.35 (node18(s193, s194)),
% 16.55/11.35 inference(unit_resolution,[status(thm)],[15833, 125, 15750])).
% 16.55/11.35 tff(15835,plain,
% 16.55/11.35 (((~![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(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))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15836,plain,
% 16.55/11.35 (((~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))),
% 16.55/11.35 inference(rewrite,[status(thm)],[])).
% 16.55/11.35 tff(15837,plain,
% 16.55/11.35 (((~![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(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)))),
% 16.55/11.35 inference(monotonicity,[status(thm)],[15836])).
% 16.55/11.35 tff(15838,plain,
% 16.55/11.35 (((~![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(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))),
% 16.55/11.35 inference(transitivity,[status(thm)],[15837, 15835])).
% 16.55/11.35 tff(15839,plain,
% 16.55/11.35 ((~![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(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1))),
% 16.55/11.35 inference(quant_inst,[status(thm)],[])).
% 16.55/11.35 tff(15840,plain,
% 16.55/11.35 ((~![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(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)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15839, 15838])).
% 16.55/11.36 tff(15841,plain,
% 16.55/11.36 (node15(s193) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15840, 992, 15834])).
% 16.55/11.36 tff(15842,plain,
% 16.55/11.36 (m_main_v_turn(s194, c_1)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15841, 15830, 15667, 15735])).
% 16.55/11.36 tff(15843,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15844,plain,
% 16.55/11.36 ((~![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)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15845,plain,
% 16.55/11.36 ((~![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))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15844, 15843])).
% 16.55/11.36 tff(15846,plain,
% 16.55/11.36 (~m_main_v_turn(s194, c_2)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15845, 156, 15842])).
% 16.55/11.36 tff(15847,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15848,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s194, c_2) | (~node12(s194)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15849,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s194, c_2) | (~node12(s194))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15848, 15847])).
% 16.55/11.36 tff(15850,plain,
% 16.55/11.36 (~node12(s194)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15849, 184, 15846])).
% 16.55/11.36 tff(15851,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15852,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s194, c_n2) | (~node8(s194)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15853,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s194, c_n2) | (~node8(s194))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15852, 15851])).
% 16.55/11.36 tff(15854,plain,
% 16.55/11.36 (~node8(s194)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15853, 271, 15783])).
% 16.55/11.36 tff(15855,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15856,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s194, c_n2) | (~node9(s194)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15857,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s194, c_n2) | (~node9(s194))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15856, 15855])).
% 16.55/11.36 tff(15858,plain,
% 16.55/11.36 (~node9(s194)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15857, 88, 15783])).
% 16.55/11.36 tff(15859,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15860,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s194, c_n2) | (~node10(s194)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15861,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s194, c_n2) | (~node10(s194))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15860, 15859])).
% 16.55/11.36 tff(15862,plain,
% 16.55/11.36 (~node10(s194)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15861, 249, 15783])).
% 16.55/11.36 tff(15863,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15864,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s194, c_n1) | (~node11(s194)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15865,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s194, c_n1) | (~node11(s194))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15864, 15863])).
% 16.55/11.36 tff(15866,plain,
% 16.55/11.36 (~node11(s194)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15865, 238, 15803])).
% 16.55/11.36 tff(15867,plain,
% 16.55/11.36 (((~![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))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15868,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s194, s195)) | node14(s194, s195))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15869,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s194, s195)) | node14(s194, s195)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 16.55/11.36 tff(15870,plain,
% 16.55/11.36 (node14(s194, s195)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15869, 46, 15814])).
% 16.55/11.36 tff(15871,plain,
% 16.55/11.36 (((~![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(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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15872,plain,
% 16.55/11.36 ((~![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(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15873,plain,
% 16.55/11.36 ((~![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(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15872, 15871])).
% 16.55/11.36 tff(15874,plain,
% 16.55/11.36 (m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15873, 296, 15870])).
% 16.55/11.36 tff(15875,plain,
% 16.55/11.36 (node13(s194, s195)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15874, 15866, 15791, 15862, 15858, 15854, 15850])).
% 16.55/11.36 tff(15876,plain,
% 16.55/11.36 (((~![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(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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15877,plain,
% 16.55/11.36 (((~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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15878,plain,
% 16.55/11.36 (((~![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))))),
% 16.55/11.36 inference(monotonicity,[status(thm)],[15877])).
% 16.55/11.36 tff(15879,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(transitivity,[status(thm)],[15878, 15876])).
% 16.55/11.36 tff(15880,plain,
% 16.55/11.36 ((~![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))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15881,plain,
% 16.55/11.36 ((~![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(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15880, 15879])).
% 16.55/11.36 tff(15882,plain,
% 16.55/11.36 (m_main_v_state2(s195, c_t2)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15881, 518, 15779, 15875])).
% 16.55/11.36 tff(15883,plain,
% 16.55/11.36 (succ(s195, s196) <=> succ(s195, s196)),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15884,axiom,(succ(s195, s196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound196')).
% 16.55/11.36 tff(15885,plain,
% 16.55/11.36 (succ(s195, s196)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15884, 15883])).
% 16.55/11.36 tff(15886,plain,
% 16.55/11.36 (((~![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))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15887,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15888,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15887, 15886])).
% 16.55/11.36 tff(15889,plain,
% 16.55/11.36 (trans(s195, s196)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15888, 15885, 32])).
% 16.55/11.36 tff(15890,plain,
% 16.55/11.36 (((~![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))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15891,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s195, s196)) | node7(s195, s196))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15892,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s195, s196)) | node7(s195, s196)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15891, 15890])).
% 16.55/11.36 tff(15893,plain,
% 16.55/11.36 (node7(s195, s196)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15892, 206, 15889])).
% 16.55/11.36 tff(15894,plain,
% 16.55/11.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15895,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15896,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15895, 15894])).
% 16.55/11.36 tff(15897,plain,
% 16.55/11.36 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | m_main_v_state1(s196, c_t1)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15896, 651, 15893])).
% 16.55/11.36 tff(15898,plain,
% 16.55/11.36 (m_main_v_state1(s196, c_t1)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15897, 15882, 15826])).
% 16.55/11.36 tff(15899,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15900,plain,
% 16.55/11.36 ((~![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)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15901,plain,
% 16.55/11.36 ((~![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))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15900, 15899])).
% 16.55/11.36 tff(15902,plain,
% 16.55/11.36 (~m_main_v_state1(s196, c_n1)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15901, 10, 15898])).
% 16.55/11.36 tff(15903,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15904,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s196, c_n1) | (~node1(s196)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15905,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s196, c_n1) | (~node1(s196))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15904, 15903])).
% 16.55/11.36 tff(15906,plain,
% 16.55/11.36 (~node1(s196)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15905, 421, 15902])).
% 16.55/11.36 tff(15907,plain,
% 16.55/11.36 (((~![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))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15908,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s195, s196)) | node18(s195, s196))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15909,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s195, s196)) | node18(s195, s196)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15908, 15907])).
% 16.55/11.36 tff(15910,plain,
% 16.55/11.36 (node18(s195, s196)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15909, 125, 15889])).
% 16.55/11.36 tff(15911,plain,
% 16.55/11.36 (((~![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(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))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15912,plain,
% 16.55/11.36 ((~![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(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15913,plain,
% 16.55/11.36 ((~![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(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15912, 15911])).
% 16.55/11.36 tff(15914,plain,
% 16.55/11.36 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | m_main_v_turn(s196, c_2)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15913, 760, 15910])).
% 16.55/11.36 tff(15915,plain,
% 16.55/11.36 (m_main_v_turn(s196, c_2)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15914, 15882, 15826])).
% 16.55/11.36 tff(15916,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15917,plain,
% 16.55/11.36 ((~![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)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15918,plain,
% 16.55/11.36 ((~![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))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15917, 15916])).
% 16.55/11.36 tff(15919,plain,
% 16.55/11.36 (~m_main_v_turn(s196, c_1)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15918, 156, 15915])).
% 16.55/11.36 tff(15920,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15921,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s196, c_1) | (~node5(s196)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15922,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s196, c_1) | (~node5(s196))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15921, 15920])).
% 16.55/11.36 tff(15923,plain,
% 16.55/11.36 (~node5(s196)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15922, 776, 15919])).
% 16.55/11.36 tff(15924,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15925,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s196, c_n1) | (~node2(s196)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15926,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s196, c_n1) | (~node2(s196))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15925, 15924])).
% 16.55/11.36 tff(15927,plain,
% 16.55/11.36 (~node2(s196)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15926, 787, 15902])).
% 16.55/11.36 tff(15928,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15929,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s196, c_n1) | (~node3(s196)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15930,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s196, c_n1) | (~node3(s196))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15929, 15928])).
% 16.55/11.36 tff(15931,plain,
% 16.55/11.36 (~node3(s196)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15930, 798, 15902])).
% 16.55/11.36 tff(15932,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15933,plain,
% 16.55/11.36 ((~![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)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15934,plain,
% 16.55/11.36 ((~![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))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15933, 15932])).
% 16.55/11.36 tff(15935,plain,
% 16.55/11.36 (~m_main_v_state1(s196, c_c1)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15934, 539, 15898])).
% 16.55/11.36 tff(15936,plain,
% 16.55/11.36 (((~![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(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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15937,plain,
% 16.55/11.36 (((~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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15938,plain,
% 16.55/11.36 (((~![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))))),
% 16.55/11.36 inference(monotonicity,[status(thm)],[15937])).
% 16.55/11.36 tff(15939,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(transitivity,[status(thm)],[15938, 15936])).
% 16.55/11.36 tff(15940,plain,
% 16.55/11.36 ((~![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)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15941,plain,
% 16.55/11.36 ((~![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(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15940, 15939])).
% 16.55/11.36 tff(15942,plain,
% 16.55/11.36 (~m_main_v_state2(s195, c_n2)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15941, 311, 15783, 15875])).
% 16.55/11.36 tff(15943,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15944,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s195, c_n2) | (~node9(s195)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15945,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s195, c_n2) | (~node9(s195))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15944, 15943])).
% 16.55/11.36 tff(15946,plain,
% 16.55/11.36 (~node9(s195)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15945, 88, 15942])).
% 16.55/11.36 tff(15947,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15948,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s195, c_n2) | (~node10(s195)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15949,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s195, c_n2) | (~node10(s195))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15948, 15947])).
% 16.55/11.36 tff(15950,plain,
% 16.55/11.36 (~node10(s195)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15949, 249, 15942])).
% 16.55/11.36 tff(15951,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15952,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s195, c_n2) | (~node8(s195)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15953,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s195, c_n2) | (~node8(s195))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15952, 15951])).
% 16.55/11.36 tff(15954,plain,
% 16.55/11.36 (~node8(s195)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15953, 271, 15942])).
% 16.55/11.36 tff(15955,plain,
% 16.55/11.36 (((~![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))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15956,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s195, s196)) | node14(s195, s196))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15957,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s195, s196)) | node14(s195, s196)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15956, 15955])).
% 16.55/11.36 tff(15958,plain,
% 16.55/11.36 (node14(s195, s196)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15957, 46, 15889])).
% 16.55/11.36 tff(15959,plain,
% 16.55/11.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15960,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15961,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15960, 15959])).
% 16.55/11.36 tff(15962,plain,
% 16.55/11.36 ((~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)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15961, 617, 15958])).
% 16.55/11.36 tff(15963,plain,
% 16.55/11.36 (m_main_v_state2(s196, c_c2)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15962, 15954, 15826, 15882, 15950, 15946])).
% 16.55/11.36 tff(15964,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15965,plain,
% 16.55/11.36 ((~![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)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15966,plain,
% 16.55/11.36 ((~![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))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15965, 15964])).
% 16.55/11.36 tff(15967,plain,
% 16.55/11.36 (~m_main_v_state2(s196, c_n2)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15966, 697, 15963])).
% 16.55/11.36 tff(15968,plain,
% 16.55/11.36 (((~![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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15969,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s196, c_n2) | (~node4(s196)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15970,plain,
% 16.55/11.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s196, c_n2) | (~node4(s196))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 16.55/11.36 tff(15971,plain,
% 16.55/11.36 (~node4(s196)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15970, 388, 15967])).
% 16.55/11.36 tff(15972,plain,
% 16.55/11.36 (succ(s196, s197) <=> succ(s196, s197)),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15973,axiom,(succ(s196, s197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound197')).
% 16.55/11.36 tff(15974,plain,
% 16.55/11.36 (succ(s196, s197)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15973, 15972])).
% 16.55/11.36 tff(15975,plain,
% 16.55/11.36 (((~![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))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15976,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15977,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15976, 15975])).
% 16.55/11.36 tff(15978,plain,
% 16.55/11.36 (trans(s196, s197)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15977, 15974, 32])).
% 16.55/11.36 tff(15979,plain,
% 16.55/11.36 (((~![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))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15980,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s196, s197)) | node7(s196, s197))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15981,plain,
% 16.55/11.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s196, s197)) | node7(s196, s197)),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15980, 15979])).
% 16.55/11.36 tff(15982,plain,
% 16.55/11.36 (node7(s196, s197)),
% 16.55/11.36 inference(unit_resolution,[status(thm)],[15981, 206, 15978])).
% 16.55/11.36 tff(15983,plain,
% 16.55/11.36 (((~![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(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)))),
% 16.55/11.36 inference(rewrite,[status(thm)],[])).
% 16.55/11.36 tff(15984,plain,
% 16.55/11.36 ((~![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(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197)))),
% 16.55/11.36 inference(quant_inst,[status(thm)],[])).
% 16.55/11.36 tff(15985,plain,
% 16.55/11.36 ((~![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(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197))),
% 16.55/11.36 inference(modus_ponens,[status(thm)],[15984, 15983])).
% 16.55/11.36 tff(15986,plain,
% 16.55/11.36 (m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[15985, 820, 15982])).
% 16.55/11.37 tff(15987,plain,
% 16.55/11.37 (node6(s196, s197)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[15986, 15971, 15935, 15931, 15927, 15923, 15906])).
% 16.55/11.37 tff(15988,plain,
% 16.55/11.37 (((~![V: $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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(15989,plain,
% 16.55/11.37 (((~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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(15990,plain,
% 16.55/11.37 (((~![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))))),
% 16.55/11.37 inference(monotonicity,[status(thm)],[15989])).
% 16.55/11.37 tff(15991,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(transitivity,[status(thm)],[15990, 15988])).
% 16.55/11.37 tff(15992,plain,
% 16.55/11.37 ((~![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))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(15993,plain,
% 16.55/11.37 ((~![V: $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))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[15992, 15991])).
% 16.55/11.37 tff(15994,plain,
% 16.55/11.37 (m_main_v_state1(s197, c_t1)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[15993, 856, 15898, 15987])).
% 16.55/11.37 tff(15995,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(15996,plain,
% 16.55/11.37 ((~![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)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(15997,plain,
% 16.55/11.37 ((~![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))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[15996, 15995])).
% 16.55/11.37 tff(15998,plain,
% 16.55/11.37 (~m_main_v_state2(s196, c_t2)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[15997, 260, 15963])).
% 16.55/11.37 tff(15999,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16000,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s196, c_t2) | (~node12(s196)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16001,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s196, c_t2) | (~node12(s196))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16000, 15999])).
% 16.55/11.37 tff(16002,plain,
% 16.55/11.37 (~node12(s196)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16001, 633, 15998])).
% 16.55/11.37 tff(16003,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16004,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s196, c_n1) | (~node11(s196)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16005,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s196, c_n1) | (~node11(s196))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16004, 16003])).
% 16.55/11.37 tff(16006,plain,
% 16.55/11.37 (~node11(s196)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16005, 238, 15902])).
% 16.55/11.37 tff(16007,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16008,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s196, c_c1) | (~node10(s196)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16009,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s196, c_c1) | (~node10(s196))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16008, 16007])).
% 16.55/11.37 tff(16010,plain,
% 16.55/11.37 (~node10(s196)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16009, 675, 15935])).
% 16.55/11.37 tff(16011,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16012,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s196, c_n1) | (~node9(s196)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16013,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s196, c_n1) | (~node9(s196))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16012, 16011])).
% 16.55/11.37 tff(16014,plain,
% 16.55/11.37 (~node9(s196)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16013, 686, 15902])).
% 16.55/11.37 tff(16015,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16016,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s196, c_n2) | (~node8(s196)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16017,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s196, c_n2) | (~node8(s196))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16016, 16015])).
% 16.55/11.37 tff(16018,plain,
% 16.55/11.37 (~node8(s196)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16017, 271, 15967])).
% 16.55/11.37 tff(16019,plain,
% 16.55/11.37 (((~![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))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16020,plain,
% 16.55/11.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s196, s197)) | node14(s196, s197))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16021,plain,
% 16.55/11.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s196, s197)) | node14(s196, s197)),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16020, 16019])).
% 16.55/11.37 tff(16022,plain,
% 16.55/11.37 (node14(s196, s197)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16021, 46, 15978])).
% 16.55/11.37 tff(16023,plain,
% 16.55/11.37 (((~![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(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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16024,plain,
% 16.55/11.37 (((~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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16025,plain,
% 16.55/11.37 (((~![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(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))))),
% 16.55/11.37 inference(monotonicity,[status(thm)],[16024])).
% 16.55/11.37 tff(16026,plain,
% 16.55/11.37 (((~![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(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)))),
% 16.55/11.37 inference(transitivity,[status(thm)],[16025, 16023])).
% 16.55/11.37 tff(16027,plain,
% 16.55/11.37 ((~![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(s196, c_c2)) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | m_main_v_state2(s197, c_n2))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16028,plain,
% 16.55/11.37 ((~![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(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16027, 16026])).
% 16.55/11.37 tff(16029,plain,
% 16.55/11.37 (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~m_main_v_state2(s196, c_c2))),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16028, 726, 16022])).
% 16.55/11.37 tff(16030,plain,
% 16.55/11.37 (m_main_v_state2(s197, c_n2)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16029, 16018, 15963, 16014, 16010, 16006, 16002])).
% 16.55/11.37 tff(16031,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16032,plain,
% 16.55/11.37 ((~![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)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16033,plain,
% 16.55/11.37 ((~![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))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16032, 16031])).
% 16.55/11.37 tff(16034,plain,
% 16.55/11.37 (~m_main_v_state2(s197, c_t2)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16033, 77, 16030])).
% 16.55/11.37 tff(16035,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16036,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s197, c_t2) | (~node15(s197)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16037,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s197, c_t2) | (~node15(s197))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16036, 16035])).
% 16.55/11.37 tff(16038,plain,
% 16.55/11.37 (~node15(s197)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16037, 103, 16034])).
% 16.55/11.37 tff(16039,plain,
% 16.55/11.37 (succ(s197, s198) <=> succ(s197, s198)),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16040,axiom,(succ(s197, s198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound198')).
% 16.55/11.37 tff(16041,plain,
% 16.55/11.37 (succ(s197, s198)),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16040, 16039])).
% 16.55/11.37 tff(16042,plain,
% 16.55/11.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16043,plain,
% 16.55/11.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16044,plain,
% 16.55/11.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198)),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16043, 16042])).
% 16.55/11.37 tff(16045,plain,
% 16.55/11.37 (trans(s197, s198)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16044, 16041, 32])).
% 16.55/11.37 tff(16046,plain,
% 16.55/11.37 (((~![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))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16047,plain,
% 16.55/11.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s197, s198)) | node18(s197, s198))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16048,plain,
% 16.55/11.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s197, s198)) | node18(s197, s198)),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16047, 16046])).
% 16.55/11.37 tff(16049,plain,
% 16.55/11.37 (node18(s197, s198)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16048, 125, 16045])).
% 16.55/11.37 tff(16050,plain,
% 16.55/11.37 (((~![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(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))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16051,plain,
% 16.55/11.37 (((~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))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16052,plain,
% 16.55/11.37 (((~![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(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)))),
% 16.55/11.37 inference(monotonicity,[status(thm)],[16051])).
% 16.55/11.37 tff(16053,plain,
% 16.55/11.37 (((~![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(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))),
% 16.55/11.37 inference(transitivity,[status(thm)],[16052, 16050])).
% 16.55/11.37 tff(16054,plain,
% 16.55/11.37 ((~![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(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node15(s197) | (~node18(s197, s198)) | m_main_v_turn(s198, c_1))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16055,plain,
% 16.55/11.37 ((~![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(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)),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16054, 16053])).
% 16.55/11.37 tff(16056,plain,
% 16.55/11.37 (node15(s197) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16055, 992, 16049])).
% 16.55/11.37 tff(16057,plain,
% 16.55/11.37 (m_main_v_turn(s198, c_1)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16056, 16038, 16030, 15994])).
% 16.55/11.37 tff(16058,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16059,plain,
% 16.55/11.37 ((~![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)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16060,plain,
% 16.55/11.37 ((~![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))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16059, 16058])).
% 16.55/11.37 tff(16061,plain,
% 16.55/11.37 (~m_main_v_turn(s198, c_2)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16060, 156, 16057])).
% 16.55/11.37 tff(16062,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16063,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s198, c_2) | (~node12(s198)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16064,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s198, c_2) | (~node12(s198))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16063, 16062])).
% 16.55/11.37 tff(16065,plain,
% 16.55/11.37 (~node12(s198)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16064, 184, 16061])).
% 16.55/11.37 tff(16066,plain,
% 16.55/11.37 (((~![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))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16067,plain,
% 16.55/11.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s197, s198)) | node14(s197, s198))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16068,plain,
% 16.55/11.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s197, s198)) | node14(s197, s198)),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16067, 16066])).
% 16.55/11.37 tff(16069,plain,
% 16.55/11.37 (node14(s197, s198)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16068, 46, 16045])).
% 16.55/11.37 tff(16070,plain,
% 16.55/11.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16071,plain,
% 16.55/11.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16072,plain,
% 16.55/11.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16071, 16070])).
% 16.55/11.37 tff(16073,plain,
% 16.55/11.37 ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state2(s198, c_t2)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16072, 922, 16069])).
% 16.55/11.37 tff(16074,plain,
% 16.55/11.37 (m_main_v_state2(s198, c_t2)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16073, 15994, 16030])).
% 16.55/11.37 tff(16075,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16076,plain,
% 16.55/11.37 ((~![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)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16077,plain,
% 16.55/11.37 ((~![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))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16076, 16075])).
% 16.55/11.37 tff(16078,plain,
% 16.55/11.37 (~m_main_v_state2(s198, c_n2)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16077, 77, 16074])).
% 16.55/11.37 tff(16079,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16080,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s198, c_n2) | (~node8(s198)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16081,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s198, c_n2) | (~node8(s198))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16080, 16079])).
% 16.55/11.37 tff(16082,plain,
% 16.55/11.37 (~node8(s198)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16081, 271, 16078])).
% 16.55/11.37 tff(16083,plain,
% 16.55/11.37 (((~![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)))),
% 16.55/11.37 inference(rewrite,[status(thm)],[])).
% 16.55/11.37 tff(16084,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s198, c_n2) | (~node9(s198)))),
% 16.55/11.37 inference(quant_inst,[status(thm)],[])).
% 16.55/11.37 tff(16085,plain,
% 16.55/11.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s198, c_n2) | (~node9(s198))),
% 16.55/11.37 inference(modus_ponens,[status(thm)],[16084, 16083])).
% 16.55/11.37 tff(16086,plain,
% 16.55/11.37 (~node9(s198)),
% 16.55/11.37 inference(unit_resolution,[status(thm)],[16085, 88, 16078])).
% 16.55/11.37 tff(16087,plain,
% 16.55/11.37 (((~![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)))),
% 16.58/11.37 inference(rewrite,[status(thm)],[])).
% 16.58/11.37 tff(16088,plain,
% 16.58/11.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s198, c_n2) | (~node10(s198)))),
% 16.58/11.37 inference(quant_inst,[status(thm)],[])).
% 16.58/11.37 tff(16089,plain,
% 16.58/11.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s198, c_n2) | (~node10(s198))),
% 16.58/11.37 inference(modus_ponens,[status(thm)],[16088, 16087])).
% 16.58/11.37 tff(16090,plain,
% 16.58/11.37 (~node10(s198)),
% 16.58/11.37 inference(unit_resolution,[status(thm)],[16089, 249, 16078])).
% 16.58/11.37 tff(16091,plain,
% 16.58/11.37 (((~![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)))),
% 16.58/11.37 inference(rewrite,[status(thm)],[])).
% 16.58/11.37 tff(16092,plain,
% 16.58/11.37 ((~![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)))),
% 16.58/11.37 inference(quant_inst,[status(thm)],[])).
% 16.58/11.37 tff(16093,plain,
% 16.58/11.37 ((~![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))),
% 16.58/11.37 inference(modus_ponens,[status(thm)],[16092, 16091])).
% 16.58/11.37 tff(16094,plain,
% 16.58/11.37 (~m_main_v_state2(s198, c_c2)),
% 16.58/11.37 inference(unit_resolution,[status(thm)],[16093, 260, 16074])).
% 16.58/11.37 tff(16095,plain,
% 16.58/11.37 (((~![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)))),
% 16.58/11.37 inference(rewrite,[status(thm)],[])).
% 16.58/11.37 tff(16096,plain,
% 16.58/11.37 ((~![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)))),
% 16.58/11.37 inference(quant_inst,[status(thm)],[])).
% 16.58/11.37 tff(16097,plain,
% 16.58/11.37 ((~![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))),
% 16.58/11.37 inference(modus_ponens,[status(thm)],[16096, 16095])).
% 16.58/11.37 tff(16098,plain,
% 16.58/11.37 (~m_main_v_state2(s197, c_c2)),
% 16.58/11.37 inference(unit_resolution,[status(thm)],[16097, 697, 16030])).
% 16.58/11.37 tff(16099,plain,
% 16.58/11.37 (((~![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)))),
% 16.58/11.37 inference(rewrite,[status(thm)],[])).
% 16.58/11.37 tff(16100,plain,
% 16.58/11.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s197, c_c2) | (~node3(s197)))),
% 16.58/11.37 inference(quant_inst,[status(thm)],[])).
% 16.58/11.37 tff(16101,plain,
% 16.58/11.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s197, c_c2) | (~node3(s197))),
% 16.58/11.37 inference(modus_ponens,[status(thm)],[16100, 16099])).
% 16.58/11.37 tff(16102,plain,
% 16.58/11.37 (~node3(s197)),
% 16.58/11.37 inference(unit_resolution,[status(thm)],[16101, 399, 16098])).
% 16.58/11.37 tff(16103,plain,
% 16.58/11.37 (((~![V: $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)))),
% 16.58/11.37 inference(rewrite,[status(thm)],[])).
% 16.58/11.37 tff(16104,plain,
% 16.58/11.37 (((~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)))),
% 16.58/11.37 inference(rewrite,[status(thm)],[])).
% 16.58/11.37 tff(16105,plain,
% 16.58/11.37 (((~![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))))),
% 16.58/11.38 inference(monotonicity,[status(thm)],[16104])).
% 16.58/11.38 tff(16106,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(transitivity,[status(thm)],[16105, 16103])).
% 16.58/11.38 tff(16107,plain,
% 16.58/11.38 ((~![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)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16108,plain,
% 16.58/11.38 ((~![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(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16107, 16106])).
% 16.58/11.38 tff(16109,plain,
% 16.58/11.38 (~m_main_v_state1(s197, c_n1)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16108, 835, 15902, 15987])).
% 16.58/11.38 tff(16110,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16111,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s197, c_n1) | (~node2(s197)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16112,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s197, c_n1) | (~node2(s197))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16111, 16110])).
% 16.58/11.38 tff(16113,plain,
% 16.58/11.38 (~node2(s197)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16112, 787, 16109])).
% 16.58/11.38 tff(16114,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16115,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s197, c_t2) | (~node1(s197)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16116,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s197, c_t2) | (~node1(s197))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16115, 16114])).
% 16.58/11.38 tff(16117,plain,
% 16.58/11.38 (~node1(s197)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16116, 195, 16034])).
% 16.58/11.38 tff(16118,plain,
% 16.58/11.38 (((~![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))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16119,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s197, s198)) | node7(s197, s198))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16120,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s197, s198)) | node7(s197, s198)),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16119, 16118])).
% 16.58/11.38 tff(16121,plain,
% 16.58/11.38 (node7(s197, s198)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16120, 206, 16045])).
% 16.58/11.38 tff(16122,plain,
% 16.58/11.38 (((~![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(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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16123,plain,
% 16.58/11.38 (((~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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16124,plain,
% 16.58/11.38 (((~![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(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))))),
% 16.58/11.38 inference(monotonicity,[status(thm)],[16123])).
% 16.58/11.38 tff(16125,plain,
% 16.58/11.38 (((~![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(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)))),
% 16.58/11.38 inference(transitivity,[status(thm)],[16124, 16122])).
% 16.58/11.38 tff(16126,plain,
% 16.58/11.38 ((~![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(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))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16127,plain,
% 16.58/11.38 ((~![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(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))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16126, 16125])).
% 16.58/11.38 tff(16128,plain,
% 16.58/11.38 ((~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)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16127, 892, 16121])).
% 16.58/11.38 tff(16129,plain,
% 16.58/11.38 (m_main_v_state1(s198, c_c1)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16128, 16117, 16030, 15994, 16113, 16102])).
% 16.58/11.38 tff(16130,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16131,plain,
% 16.58/11.38 ((~![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)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16132,plain,
% 16.58/11.38 ((~![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))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 16.58/11.38 tff(16133,plain,
% 16.58/11.38 (~m_main_v_state1(s198, c_n1)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16132, 454, 16129])).
% 16.58/11.38 tff(16134,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16135,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s198, c_n1) | (~node11(s198)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16136,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s198, c_n1) | (~node11(s198))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16135, 16134])).
% 16.58/11.38 tff(16137,plain,
% 16.58/11.38 (~node11(s198)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16136, 238, 16133])).
% 16.58/11.38 tff(16138,plain,
% 16.58/11.38 (succ(s198, s199) <=> succ(s198, s199)),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16139,axiom,(succ(s198, s199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound199')).
% 16.58/11.38 tff(16140,plain,
% 16.58/11.38 (succ(s198, s199)),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16139, 16138])).
% 16.58/11.38 tff(16141,plain,
% 16.58/11.38 (((~![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))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16142,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16143,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199)),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 16.58/11.38 tff(16144,plain,
% 16.58/11.38 (trans(s198, s199)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16143, 16140, 32])).
% 16.58/11.38 tff(16145,plain,
% 16.58/11.38 (((~![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))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16146,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s198, s199)) | node14(s198, s199))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16147,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s198, s199)) | node14(s198, s199)),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16146, 16145])).
% 16.58/11.38 tff(16148,plain,
% 16.58/11.38 (node14(s198, s199)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16147, 46, 16144])).
% 16.58/11.38 tff(16149,plain,
% 16.58/11.38 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16150,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16151,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16150, 16149])).
% 16.58/11.38 tff(16152,plain,
% 16.58/11.38 (m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16151, 296, 16148])).
% 16.58/11.38 tff(16153,plain,
% 16.58/11.38 (node13(s198, s199)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16152, 16137, 16094, 16090, 16086, 16082, 16065])).
% 16.58/11.38 tff(16154,plain,
% 16.58/11.38 (((~![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(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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16155,plain,
% 16.58/11.38 (((~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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16156,plain,
% 16.58/11.38 (((~![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))))),
% 16.58/11.38 inference(monotonicity,[status(thm)],[16155])).
% 16.58/11.38 tff(16157,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(transitivity,[status(thm)],[16156, 16154])).
% 16.58/11.38 tff(16158,plain,
% 16.58/11.38 ((~![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)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16159,plain,
% 16.58/11.38 ((~![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(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16158, 16157])).
% 16.58/11.38 tff(16160,plain,
% 16.58/11.38 (~m_main_v_state2(s199, c_n2)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16159, 311, 16078, 16153])).
% 16.58/11.38 tff(16161,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16162,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s199, c_n2) | (~node9(s199)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16163,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s199, c_n2) | (~node9(s199))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16162, 16161])).
% 16.58/11.38 tff(16164,plain,
% 16.58/11.38 (~node9(s199)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16163, 88, 16160])).
% 16.58/11.38 tff(16165,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16166,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s199, c_n2) | (~node10(s199)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16167,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s199, c_n2) | (~node10(s199))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16166, 16165])).
% 16.58/11.38 tff(16168,plain,
% 16.58/11.38 (~node10(s199)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16167, 249, 16160])).
% 16.58/11.38 tff(16169,plain,
% 16.58/11.38 (((~![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(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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16170,plain,
% 16.58/11.38 (((~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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16171,plain,
% 16.58/11.38 (((~![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))))),
% 16.58/11.38 inference(monotonicity,[status(thm)],[16170])).
% 16.58/11.38 tff(16172,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(transitivity,[status(thm)],[16171, 16169])).
% 16.58/11.38 tff(16173,plain,
% 16.58/11.38 ((~![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))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16174,plain,
% 16.58/11.38 ((~![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(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16173, 16172])).
% 16.58/11.38 tff(16175,plain,
% 16.58/11.38 (m_main_v_state2(s199, c_t2)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16174, 518, 16074, 16153])).
% 16.58/11.38 tff(16176,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16177,plain,
% 16.58/11.38 ((~![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)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16178,plain,
% 16.58/11.38 ((~![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))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16177, 16176])).
% 16.58/11.38 tff(16179,plain,
% 16.58/11.38 (~m_main_v_state1(s198, c_t1)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16178, 539, 16129])).
% 16.58/11.38 tff(16180,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16181,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s198, c_t1) | (~node5(s198)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16182,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s198, c_t1) | (~node5(s198))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16181, 16180])).
% 16.58/11.38 tff(16183,plain,
% 16.58/11.38 (~node5(s198)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16182, 550, 16179])).
% 16.58/11.38 tff(16184,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16185,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s198, c_n2) | (~node4(s198)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16186,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s198, c_n2) | (~node4(s198))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16185, 16184])).
% 16.58/11.38 tff(16187,plain,
% 16.58/11.38 (~node4(s198)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16186, 388, 16078])).
% 16.58/11.38 tff(16188,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16189,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s198, c_c2) | (~node3(s198)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16190,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s198, c_c2) | (~node3(s198))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16189, 16188])).
% 16.58/11.38 tff(16191,plain,
% 16.58/11.38 (~node3(s198)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16190, 399, 16094])).
% 16.58/11.38 tff(16192,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16193,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s198, c_n2) | (~node2(s198)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16194,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s198, c_n2) | (~node2(s198))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16193, 16192])).
% 16.58/11.38 tff(16195,plain,
% 16.58/11.38 (~node2(s198)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16194, 410, 16078])).
% 16.58/11.38 tff(16196,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16197,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s198, c_n1) | (~node1(s198)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16198,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s198, c_n1) | (~node1(s198))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16197, 16196])).
% 16.58/11.38 tff(16199,plain,
% 16.58/11.38 (~node1(s198)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16198, 421, 16133])).
% 16.58/11.38 tff(16200,plain,
% 16.58/11.38 (((~![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))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16201,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s198, s199)) | node7(s198, s199))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16202,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s198, s199)) | node7(s198, s199)),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16201, 16200])).
% 16.58/11.38 tff(16203,plain,
% 16.58/11.38 (node7(s198, s199)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16202, 206, 16144])).
% 16.58/11.38 tff(16204,plain,
% 16.58/11.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16205,plain,
% 16.58/11.38 (((~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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16206,plain,
% 16.58/11.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 16.58/11.38 inference(monotonicity,[status(thm)],[16205])).
% 16.58/11.38 tff(16207,plain,
% 16.58/11.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 16.58/11.38 inference(transitivity,[status(thm)],[16206, 16204])).
% 16.58/11.38 tff(16208,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16209,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16208, 16207])).
% 16.58/11.38 tff(16210,plain,
% 16.58/11.38 (m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16209, 584, 16203])).
% 16.58/11.38 tff(16211,plain,
% 16.58/11.38 (m_main_v_state1(s199, c_n1)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16210, 16199, 16129, 16195, 16191, 16187, 16183])).
% 16.58/11.38 tff(16212,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16213,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s199, c_n2) | (~node8(s199)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16214,plain,
% 16.58/11.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s199, c_n2) | (~node8(s199))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16213, 16212])).
% 16.58/11.38 tff(16215,plain,
% 16.58/11.38 (~node8(s199)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16214, 271, 16160])).
% 16.58/11.38 tff(16216,plain,
% 16.58/11.38 (succ(s199, s200) <=> succ(s199, s200)),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16217,axiom,(succ(s199, s200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound200')).
% 16.58/11.38 tff(16218,plain,
% 16.58/11.38 (succ(s199, s200)),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16217, 16216])).
% 16.58/11.38 tff(16219,plain,
% 16.58/11.38 (((~![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))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16220,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16221,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200)),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16220, 16219])).
% 16.58/11.38 tff(16222,plain,
% 16.58/11.38 (trans(s199, s200)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16221, 16218, 32])).
% 16.58/11.38 tff(16223,plain,
% 16.58/11.38 (((~![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))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16224,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s199, s200)) | node14(s199, s200))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16225,plain,
% 16.58/11.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s199, s200)) | node14(s199, s200)),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16224, 16223])).
% 16.58/11.38 tff(16226,plain,
% 16.58/11.38 (node14(s199, s200)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16225, 46, 16222])).
% 16.58/11.38 tff(16227,plain,
% 16.58/11.38 (((~![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(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))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16228,plain,
% 16.58/11.38 ((~![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(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))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16229,plain,
% 16.58/11.38 ((~![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(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)),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16228, 16227])).
% 16.58/11.38 tff(16230,plain,
% 16.58/11.38 ((~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)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16229, 617, 16226])).
% 16.58/11.38 tff(16231,plain,
% 16.58/11.38 (m_main_v_state2(s200, c_c2)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16230, 16215, 16211, 16175, 16168, 16164])).
% 16.58/11.38 tff(16232,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.38 inference(rewrite,[status(thm)],[])).
% 16.58/11.38 tff(16233,plain,
% 16.58/11.38 ((~![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)))),
% 16.58/11.38 inference(quant_inst,[status(thm)],[])).
% 16.58/11.38 tff(16234,plain,
% 16.58/11.38 ((~![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))),
% 16.58/11.38 inference(modus_ponens,[status(thm)],[16233, 16232])).
% 16.58/11.38 tff(16235,plain,
% 16.58/11.38 (~m_main_v_state2(s200, c_t2)),
% 16.58/11.38 inference(unit_resolution,[status(thm)],[16234, 260, 16231])).
% 16.58/11.38 tff(16236,plain,
% 16.58/11.38 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16237,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s200, c_t2) | (~node12(s200)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16238,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s200, c_t2) | (~node12(s200))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16237, 16236])).
% 16.58/11.39 tff(16239,plain,
% 16.58/11.39 (~node12(s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16238, 633, 16235])).
% 16.58/11.39 tff(16240,plain,
% 16.58/11.39 (((~![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))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16241,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s199, s200)) | node7(s199, s200))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16242,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s199, s200)) | node7(s199, s200)),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16241, 16240])).
% 16.58/11.39 tff(16243,plain,
% 16.58/11.39 (node7(s199, s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16242, 206, 16222])).
% 16.58/11.39 tff(16244,plain,
% 16.58/11.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16245,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node7(s199, s200)) | m_main_v_state1(s200, c_t1))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16246,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node7(s199, s200)) | m_main_v_state1(s200, c_t1)),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16245, 16244])).
% 16.58/11.39 tff(16247,plain,
% 16.58/11.39 ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | m_main_v_state1(s200, c_t1)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16246, 651, 16243])).
% 16.58/11.39 tff(16248,plain,
% 16.58/11.39 (m_main_v_state1(s200, c_t1)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16247, 16175, 16211])).
% 16.58/11.39 tff(16249,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16250,plain,
% 16.58/11.39 ((~![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)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16251,plain,
% 16.58/11.39 ((~![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))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16250, 16249])).
% 16.58/11.39 tff(16252,plain,
% 16.58/11.39 (~m_main_v_state1(s200, c_n1)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16251, 10, 16248])).
% 16.58/11.39 tff(16253,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16254,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s200, c_n1) | (~node11(s200)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16255,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s200, c_n1) | (~node11(s200))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16254, 16253])).
% 16.58/11.39 tff(16256,plain,
% 16.58/11.39 (~node11(s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16255, 238, 16252])).
% 16.58/11.39 tff(16257,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16258,plain,
% 16.58/11.39 ((~![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)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16259,plain,
% 16.58/11.39 ((~![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))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16258, 16257])).
% 16.58/11.39 tff(16260,plain,
% 16.58/11.39 (~m_main_v_state1(s200, c_c1)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16259, 539, 16248])).
% 16.58/11.39 tff(16261,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16262,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s200, c_c1) | (~node10(s200)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16263,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s200, c_c1) | (~node10(s200))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16262, 16261])).
% 16.58/11.39 tff(16264,plain,
% 16.58/11.39 (~node10(s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16263, 675, 16260])).
% 16.58/11.39 tff(16265,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16266,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s200, c_n1) | (~node9(s200)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16267,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s200, c_n1) | (~node9(s200))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16266, 16265])).
% 16.58/11.39 tff(16268,plain,
% 16.58/11.39 (~node9(s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16267, 686, 16252])).
% 16.58/11.39 tff(16269,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16270,plain,
% 16.58/11.39 ((~![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)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16271,plain,
% 16.58/11.39 ((~![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))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16270, 16269])).
% 16.58/11.39 tff(16272,plain,
% 16.58/11.39 (~m_main_v_state2(s200, c_n2)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16271, 697, 16231])).
% 16.58/11.39 tff(16273,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16274,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s200, c_n2) | (~node8(s200)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16275,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s200, c_n2) | (~node8(s200))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16274, 16273])).
% 16.58/11.39 tff(16276,plain,
% 16.58/11.39 (~node8(s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16275, 271, 16272])).
% 16.58/11.39 tff(16277,plain,
% 16.58/11.39 (succ(s200, s201) <=> succ(s200, s201)),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16278,axiom,(succ(s200, s201)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound201')).
% 16.58/11.39 tff(16279,plain,
% 16.58/11.39 (succ(s200, s201)),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16278, 16277])).
% 16.58/11.39 tff(16280,plain,
% 16.58/11.39 (((~![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))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16281,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16282,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201)),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16281, 16280])).
% 16.58/11.39 tff(16283,plain,
% 16.58/11.39 (trans(s200, s201)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16282, 16279, 32])).
% 16.58/11.39 tff(16284,plain,
% 16.58/11.39 (((~![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))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16285,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s200, s201)) | node14(s200, s201))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16286,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s200, s201)) | node14(s200, s201)),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16285, 16284])).
% 16.58/11.39 tff(16287,plain,
% 16.58/11.39 (node14(s200, s201)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16286, 46, 16283])).
% 16.58/11.39 tff(16288,plain,
% 16.58/11.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16289,plain,
% 16.58/11.39 (((~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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16290,plain,
% 16.58/11.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 16.58/11.39 inference(monotonicity,[status(thm)],[16289])).
% 16.58/11.39 tff(16291,plain,
% 16.58/11.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.58/11.39 inference(transitivity,[status(thm)],[16290, 16288])).
% 16.58/11.39 tff(16292,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16293,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16292, 16291])).
% 16.58/11.39 tff(16294,plain,
% 16.58/11.39 (m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~m_main_v_state2(s200, c_c2))),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16293, 726, 16287])).
% 16.58/11.39 tff(16295,plain,
% 16.58/11.39 (m_main_v_state2(s201, c_n2)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16294, 16276, 16231, 16268, 16264, 16256, 16239])).
% 16.58/11.39 tff(16296,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16297,plain,
% 16.58/11.39 ((~![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)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16298,plain,
% 16.58/11.39 ((~![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))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16297, 16296])).
% 16.58/11.39 tff(16299,plain,
% 16.58/11.39 (~m_main_v_state2(s201, c_c2)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16298, 697, 16295])).
% 16.58/11.39 tff(16300,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16301,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s201, c_c2) | (~node3(s201)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16302,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s201, c_c2) | (~node3(s201))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16301, 16300])).
% 16.58/11.39 tff(16303,plain,
% 16.58/11.39 (~node3(s201)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16302, 399, 16299])).
% 16.58/11.39 tff(16304,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16305,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s200, c_n1) | (~node1(s200)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16306,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s200, c_n1) | (~node1(s200))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16305, 16304])).
% 16.58/11.39 tff(16307,plain,
% 16.58/11.39 (~node1(s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16306, 421, 16252])).
% 16.58/11.39 tff(16308,plain,
% 16.58/11.39 (((~![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))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16309,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s199, s200)) | node18(s199, s200))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16310,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s199, s200)) | node18(s199, s200)),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16309, 16308])).
% 16.58/11.39 tff(16311,plain,
% 16.58/11.39 (node18(s199, s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16310, 125, 16222])).
% 16.58/11.39 tff(16312,plain,
% 16.58/11.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16313,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s200)) | m_main_v_turn(s200, c_2))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16314,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s200)) | m_main_v_turn(s200, c_2)),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16313, 16312])).
% 16.58/11.39 tff(16315,plain,
% 16.58/11.39 ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | m_main_v_turn(s200, c_2)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16314, 760, 16311])).
% 16.58/11.39 tff(16316,plain,
% 16.58/11.39 (m_main_v_turn(s200, c_2)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16315, 16175, 16211])).
% 16.58/11.39 tff(16317,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16318,plain,
% 16.58/11.39 ((~![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)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16319,plain,
% 16.58/11.39 ((~![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))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16318, 16317])).
% 16.58/11.39 tff(16320,plain,
% 16.58/11.39 (~m_main_v_turn(s200, c_1)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16319, 156, 16316])).
% 16.58/11.39 tff(16321,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16322,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s200, c_1) | (~node5(s200)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16323,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s200, c_1) | (~node5(s200))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16322, 16321])).
% 16.58/11.39 tff(16324,plain,
% 16.58/11.39 (~node5(s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16323, 776, 16320])).
% 16.58/11.39 tff(16325,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16326,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s200, c_n1) | (~node2(s200)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16327,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s200, c_n1) | (~node2(s200))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16326, 16325])).
% 16.58/11.39 tff(16328,plain,
% 16.58/11.39 (~node2(s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16327, 787, 16252])).
% 16.58/11.39 tff(16329,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16330,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s200, c_n1) | (~node3(s200)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16331,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s200, c_n1) | (~node3(s200))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16330, 16329])).
% 16.58/11.39 tff(16332,plain,
% 16.58/11.39 (~node3(s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16331, 798, 16252])).
% 16.58/11.39 tff(16333,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16334,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s200, c_n2) | (~node4(s200)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16335,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s200, c_n2) | (~node4(s200))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16334, 16333])).
% 16.58/11.39 tff(16336,plain,
% 16.58/11.39 (~node4(s200)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16335, 388, 16272])).
% 16.58/11.39 tff(16337,plain,
% 16.58/11.39 (((~![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))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16338,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s200, s201)) | node7(s200, s201))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16339,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s200, s201)) | node7(s200, s201)),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16338, 16337])).
% 16.58/11.39 tff(16340,plain,
% 16.58/11.39 (node7(s200, s201)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16339, 206, 16283])).
% 16.58/11.39 tff(16341,plain,
% 16.58/11.39 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16342,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16343,plain,
% 16.58/11.39 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16342, 16341])).
% 16.58/11.39 tff(16344,plain,
% 16.58/11.39 (m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16343, 820, 16340])).
% 16.58/11.39 tff(16345,plain,
% 16.58/11.39 (node6(s200, s201)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16344, 16336, 16260, 16332, 16328, 16324, 16307])).
% 16.58/11.39 tff(16346,plain,
% 16.58/11.39 (((~![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(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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16347,plain,
% 16.58/11.39 (((~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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16348,plain,
% 16.58/11.39 (((~![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))))),
% 16.58/11.39 inference(monotonicity,[status(thm)],[16347])).
% 16.58/11.39 tff(16349,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(transitivity,[status(thm)],[16348, 16346])).
% 16.58/11.39 tff(16350,plain,
% 16.58/11.39 ((~![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)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16351,plain,
% 16.58/11.39 ((~![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(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16350, 16349])).
% 16.58/11.39 tff(16352,plain,
% 16.58/11.39 (~m_main_v_state1(s201, c_n1)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16351, 835, 16252, 16345])).
% 16.58/11.39 tff(16353,plain,
% 16.58/11.39 (((~![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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16354,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s201, c_n1) | (~node2(s201)))),
% 16.58/11.39 inference(quant_inst,[status(thm)],[])).
% 16.58/11.39 tff(16355,plain,
% 16.58/11.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s201, c_n1) | (~node2(s201))),
% 16.58/11.39 inference(modus_ponens,[status(thm)],[16354, 16353])).
% 16.58/11.39 tff(16356,plain,
% 16.58/11.39 (~node2(s201)),
% 16.58/11.39 inference(unit_resolution,[status(thm)],[16355, 787, 16352])).
% 16.58/11.39 tff(16357,plain,
% 16.58/11.39 (((~![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(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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16358,plain,
% 16.58/11.39 (((~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)))),
% 16.58/11.39 inference(rewrite,[status(thm)],[])).
% 16.58/11.39 tff(16359,plain,
% 16.58/11.39 (((~![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))))),
% 16.58/11.40 inference(monotonicity,[status(thm)],[16358])).
% 16.58/11.40 tff(16360,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(transitivity,[status(thm)],[16359, 16357])).
% 16.58/11.40 tff(16361,plain,
% 16.58/11.40 ((~![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))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16362,plain,
% 16.58/11.40 ((~![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(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16361, 16360])).
% 16.58/11.40 tff(16363,plain,
% 16.58/11.40 (m_main_v_state1(s201, c_t1)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16362, 856, 16248, 16345])).
% 16.58/11.40 tff(16364,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16365,plain,
% 16.58/11.40 ((~![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)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16366,plain,
% 16.58/11.40 ((~![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))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16365, 16364])).
% 16.58/11.40 tff(16367,plain,
% 16.58/11.40 (~m_main_v_state2(s201, c_t2)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16366, 77, 16295])).
% 16.58/11.40 tff(16368,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16369,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s201, c_t2) | (~node1(s201)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16370,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s201, c_t2) | (~node1(s201))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16369, 16368])).
% 16.58/11.40 tff(16371,plain,
% 16.58/11.40 (~node1(s201)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16370, 195, 16367])).
% 16.58/11.40 tff(16372,plain,
% 16.58/11.40 (succ(s201, s202) <=> succ(s201, s202)),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16373,axiom,(succ(s201, s202)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound202')).
% 16.58/11.40 tff(16374,plain,
% 16.58/11.40 (succ(s201, s202)),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16373, 16372])).
% 16.58/11.40 tff(16375,plain,
% 16.58/11.40 (((~![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))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16376,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16377,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202)),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16376, 16375])).
% 16.58/11.40 tff(16378,plain,
% 16.58/11.40 (trans(s201, s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16377, 16374, 32])).
% 16.58/11.40 tff(16379,plain,
% 16.58/11.40 (((~![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))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16380,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s201, s202)) | node7(s201, s202))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16381,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s201, s202)) | node7(s201, s202)),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16380, 16379])).
% 16.58/11.40 tff(16382,plain,
% 16.58/11.40 (node7(s201, s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16381, 206, 16378])).
% 16.58/11.40 tff(16383,plain,
% 16.58/11.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16384,plain,
% 16.58/11.40 (((~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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16385,plain,
% 16.58/11.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 16.58/11.40 inference(monotonicity,[status(thm)],[16384])).
% 16.58/11.40 tff(16386,plain,
% 16.58/11.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.58/11.40 inference(transitivity,[status(thm)],[16385, 16383])).
% 16.58/11.40 tff(16387,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16388,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16387, 16386])).
% 16.58/11.40 tff(16389,plain,
% 16.58/11.40 ((~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)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16388, 892, 16382])).
% 16.58/11.40 tff(16390,plain,
% 16.58/11.40 (m_main_v_state1(s202, c_c1)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16389, 16371, 16295, 16363, 16356, 16303])).
% 16.58/11.40 tff(16391,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16392,plain,
% 16.58/11.40 ((~![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)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16393,plain,
% 16.58/11.40 ((~![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))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16392, 16391])).
% 16.58/11.40 tff(16394,plain,
% 16.58/11.40 (~m_main_v_state1(s202, c_t1)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16393, 539, 16390])).
% 16.58/11.40 tff(16395,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16396,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s202, c_t1) | (~node5(s202)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16397,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s202, c_t1) | (~node5(s202))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16396, 16395])).
% 16.58/11.40 tff(16398,plain,
% 16.58/11.40 (~node5(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16397, 550, 16394])).
% 16.58/11.40 tff(16399,plain,
% 16.58/11.40 (((~![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))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16400,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s201, s202)) | node14(s201, s202))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16401,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s201, s202)) | node14(s201, s202)),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16400, 16399])).
% 16.58/11.40 tff(16402,plain,
% 16.58/11.40 (node14(s201, s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16401, 46, 16378])).
% 16.58/11.40 tff(16403,plain,
% 16.58/11.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16404,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | (~node14(s201, s202)) | m_main_v_state2(s202, c_t2))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16405,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | (~node14(s201, s202)) | m_main_v_state2(s202, c_t2)),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16404, 16403])).
% 16.58/11.40 tff(16406,plain,
% 16.58/11.40 ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state2(s202, c_t2)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16405, 922, 16402])).
% 16.58/11.40 tff(16407,plain,
% 16.58/11.40 (m_main_v_state2(s202, c_t2)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16406, 16363, 16295])).
% 16.58/11.40 tff(16408,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16409,plain,
% 16.58/11.40 ((~![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)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16410,plain,
% 16.58/11.40 ((~![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))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16409, 16408])).
% 16.58/11.40 tff(16411,plain,
% 16.58/11.40 (~m_main_v_state2(s202, c_n2)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16410, 77, 16407])).
% 16.58/11.40 tff(16412,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16413,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s202, c_n2) | (~node4(s202)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16414,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s202, c_n2) | (~node4(s202))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16413, 16412])).
% 16.58/11.40 tff(16415,plain,
% 16.58/11.40 (~node4(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16414, 388, 16411])).
% 16.58/11.40 tff(16416,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16417,plain,
% 16.58/11.40 ((~![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)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16418,plain,
% 16.58/11.40 ((~![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))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16417, 16416])).
% 16.58/11.40 tff(16419,plain,
% 16.58/11.40 (~m_main_v_state2(s202, c_c2)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16418, 260, 16407])).
% 16.58/11.40 tff(16420,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16421,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s202, c_c2) | (~node3(s202)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16422,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s202, c_c2) | (~node3(s202))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16421, 16420])).
% 16.58/11.40 tff(16423,plain,
% 16.58/11.40 (~node3(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16422, 399, 16419])).
% 16.58/11.40 tff(16424,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16425,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s202, c_n2) | (~node2(s202)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16426,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s202, c_n2) | (~node2(s202))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16425, 16424])).
% 16.58/11.40 tff(16427,plain,
% 16.58/11.40 (~node2(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16426, 410, 16411])).
% 16.58/11.40 tff(16428,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16429,plain,
% 16.58/11.40 ((~![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)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16430,plain,
% 16.58/11.40 ((~![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))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16429, 16428])).
% 16.58/11.40 tff(16431,plain,
% 16.58/11.40 (~m_main_v_state1(s202, c_n1)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16430, 454, 16390])).
% 16.58/11.40 tff(16432,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16433,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s202, c_n1) | (~node1(s202)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16434,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s202, c_n1) | (~node1(s202))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16433, 16432])).
% 16.58/11.40 tff(16435,plain,
% 16.58/11.40 (~node1(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16434, 421, 16431])).
% 16.58/11.40 tff(16436,plain,
% 16.58/11.40 (succ(s202, s203) <=> succ(s202, s203)),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16437,axiom,(succ(s202, s203)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound203')).
% 16.58/11.40 tff(16438,plain,
% 16.58/11.40 (succ(s202, s203)),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16437, 16436])).
% 16.58/11.40 tff(16439,plain,
% 16.58/11.40 (((~![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))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16440,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16441,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203)),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16440, 16439])).
% 16.58/11.40 tff(16442,plain,
% 16.58/11.40 (trans(s202, s203)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16441, 16438, 32])).
% 16.58/11.40 tff(16443,plain,
% 16.58/11.40 (((~![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))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16444,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s202, s203)) | node7(s202, s203))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16445,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s202, s203)) | node7(s202, s203)),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 16.58/11.40 tff(16446,plain,
% 16.58/11.40 (node7(s202, s203)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16445, 206, 16442])).
% 16.58/11.40 tff(16447,plain,
% 16.58/11.40 (((~![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(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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16448,plain,
% 16.58/11.40 (((~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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16449,plain,
% 16.58/11.40 (((~![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(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))))),
% 16.58/11.40 inference(monotonicity,[status(thm)],[16448])).
% 16.58/11.40 tff(16450,plain,
% 16.58/11.40 (((~![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(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)))),
% 16.58/11.40 inference(transitivity,[status(thm)],[16449, 16447])).
% 16.58/11.40 tff(16451,plain,
% 16.58/11.40 ((~![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(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)) | m_main_v_state1(s203, c_n1))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16452,plain,
% 16.58/11.40 ((~![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(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16451, 16450])).
% 16.58/11.40 tff(16453,plain,
% 16.58/11.40 (m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16452, 584, 16446])).
% 16.58/11.40 tff(16454,plain,
% 16.58/11.40 (m_main_v_state1(s203, c_n1)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16453, 16435, 16390, 16427, 16423, 16415, 16398])).
% 16.58/11.40 tff(16455,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16456,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s201, c_t2) | (~node15(s201)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16457,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s201, c_t2) | (~node15(s201))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16456, 16455])).
% 16.58/11.40 tff(16458,plain,
% 16.58/11.40 (~node15(s201)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16457, 103, 16367])).
% 16.58/11.40 tff(16459,plain,
% 16.58/11.40 (((~![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))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16460,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s201, s202)) | node18(s201, s202))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16461,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s201, s202)) | node18(s201, s202)),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 16.58/11.40 tff(16462,plain,
% 16.58/11.40 (node18(s201, s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16461, 125, 16378])).
% 16.58/11.40 tff(16463,plain,
% 16.58/11.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16464,plain,
% 16.58/11.40 (((~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))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16465,plain,
% 16.58/11.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 16.58/11.40 inference(monotonicity,[status(thm)],[16464])).
% 16.58/11.40 tff(16466,plain,
% 16.58/11.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 16.58/11.40 inference(transitivity,[status(thm)],[16465, 16463])).
% 16.58/11.40 tff(16467,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node15(s201) | (~node18(s201, s202)) | m_main_v_turn(s202, c_1))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16468,plain,
% 16.58/11.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16467, 16466])).
% 16.58/11.40 tff(16469,plain,
% 16.58/11.40 (node15(s201) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16468, 992, 16462])).
% 16.58/11.40 tff(16470,plain,
% 16.58/11.40 (m_main_v_turn(s202, c_1)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16469, 16458, 16295, 16363])).
% 16.58/11.40 tff(16471,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16472,plain,
% 16.58/11.40 ((~![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)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16473,plain,
% 16.58/11.40 ((~![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))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16472, 16471])).
% 16.58/11.40 tff(16474,plain,
% 16.58/11.40 (~m_main_v_turn(s202, c_2)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16473, 156, 16470])).
% 16.58/11.40 tff(16475,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16476,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s202, c_2) | (~node12(s202)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16477,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s202, c_2) | (~node12(s202))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16476, 16475])).
% 16.58/11.40 tff(16478,plain,
% 16.58/11.40 (~node12(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16477, 184, 16474])).
% 16.58/11.40 tff(16479,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16480,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s202, c_n2) | (~node8(s202)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16481,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s202, c_n2) | (~node8(s202))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16480, 16479])).
% 16.58/11.40 tff(16482,plain,
% 16.58/11.40 (~node8(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16481, 271, 16411])).
% 16.58/11.40 tff(16483,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16484,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s202, c_n2) | (~node9(s202)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16485,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s202, c_n2) | (~node9(s202))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16484, 16483])).
% 16.58/11.40 tff(16486,plain,
% 16.58/11.40 (~node9(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16485, 88, 16411])).
% 16.58/11.40 tff(16487,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16488,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s202, c_n2) | (~node10(s202)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16489,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s202, c_n2) | (~node10(s202))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16488, 16487])).
% 16.58/11.40 tff(16490,plain,
% 16.58/11.40 (~node10(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16489, 249, 16411])).
% 16.58/11.40 tff(16491,plain,
% 16.58/11.40 (((~![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)))),
% 16.58/11.40 inference(rewrite,[status(thm)],[])).
% 16.58/11.40 tff(16492,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s202, c_n1) | (~node11(s202)))),
% 16.58/11.40 inference(quant_inst,[status(thm)],[])).
% 16.58/11.40 tff(16493,plain,
% 16.58/11.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s202, c_n1) | (~node11(s202))),
% 16.58/11.40 inference(modus_ponens,[status(thm)],[16492, 16491])).
% 16.58/11.40 tff(16494,plain,
% 16.58/11.40 (~node11(s202)),
% 16.58/11.40 inference(unit_resolution,[status(thm)],[16493, 238, 16431])).
% 16.58/11.40 tff(16495,plain,
% 16.58/11.40 (((~![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))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16496,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s202, s203)) | node14(s202, s203))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16497,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s202, s203)) | node14(s202, s203)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16496, 16495])).
% 16.58/11.41 tff(16498,plain,
% 16.58/11.41 (node14(s202, s203)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16497, 46, 16442])).
% 16.58/11.41 tff(16499,plain,
% 16.58/11.41 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16500,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203) | (~node14(s202, s203)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16501,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203) | (~node14(s202, s203))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16500, 16499])).
% 16.58/11.41 tff(16502,plain,
% 16.58/11.41 (m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16501, 296, 16498])).
% 16.58/11.41 tff(16503,plain,
% 16.58/11.41 (node13(s202, s203)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16502, 16494, 16419, 16490, 16486, 16482, 16478])).
% 16.58/11.41 tff(16504,plain,
% 16.58/11.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16505,plain,
% 16.58/11.41 (((~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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16506,plain,
% 16.58/11.41 (((~![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))))),
% 16.58/11.41 inference(monotonicity,[status(thm)],[16505])).
% 16.58/11.41 tff(16507,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(transitivity,[status(thm)],[16506, 16504])).
% 16.58/11.41 tff(16508,plain,
% 16.58/11.41 ((~![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))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16509,plain,
% 16.58/11.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16508, 16507])).
% 16.58/11.41 tff(16510,plain,
% 16.58/11.41 (m_main_v_state2(s203, c_t2)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16509, 518, 16407, 16503])).
% 16.58/11.41 tff(16511,plain,
% 16.58/11.41 (succ(s203, s204) <=> succ(s203, s204)),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16512,axiom,(succ(s203, s204)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound204')).
% 16.58/11.41 tff(16513,plain,
% 16.58/11.41 (succ(s203, s204)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16512, 16511])).
% 16.58/11.41 tff(16514,plain,
% 16.58/11.41 (((~![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))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16515,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16516,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16515, 16514])).
% 16.58/11.41 tff(16517,plain,
% 16.58/11.41 (trans(s203, s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16516, 16513, 32])).
% 16.58/11.41 tff(16518,plain,
% 16.58/11.41 (((~![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))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16519,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s203, s204)) | node7(s203, s204))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16520,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s203, s204)) | node7(s203, s204)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16519, 16518])).
% 16.58/11.41 tff(16521,plain,
% 16.58/11.41 (node7(s203, s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16520, 206, 16517])).
% 16.58/11.41 tff(16522,plain,
% 16.58/11.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16523,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16524,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16523, 16522])).
% 16.58/11.41 tff(16525,plain,
% 16.58/11.41 ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | m_main_v_state1(s204, c_t1)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16524, 651, 16521])).
% 16.58/11.41 tff(16526,plain,
% 16.58/11.41 (m_main_v_state1(s204, c_t1)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16525, 16510, 16454])).
% 16.58/11.41 tff(16527,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16528,plain,
% 16.58/11.41 ((~![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)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16529,plain,
% 16.58/11.41 ((~![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))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16528, 16527])).
% 16.58/11.41 tff(16530,plain,
% 16.58/11.41 (~m_main_v_state1(s204, c_n1)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16529, 10, 16526])).
% 16.58/11.41 tff(16531,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16532,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s204, c_n1) | (~node1(s204)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16533,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s204, c_n1) | (~node1(s204))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16532, 16531])).
% 16.58/11.41 tff(16534,plain,
% 16.58/11.41 (~node1(s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16533, 421, 16530])).
% 16.58/11.41 tff(16535,plain,
% 16.58/11.41 (((~![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))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16536,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s203, s204)) | node18(s203, s204))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16537,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s203, s204)) | node18(s203, s204)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16536, 16535])).
% 16.58/11.41 tff(16538,plain,
% 16.58/11.41 (node18(s203, s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16537, 125, 16517])).
% 16.58/11.41 tff(16539,plain,
% 16.58/11.41 (((~![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(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))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16540,plain,
% 16.58/11.41 ((~![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(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node18(s203, s204)) | m_main_v_turn(s204, c_2))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16541,plain,
% 16.58/11.41 ((~![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(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node18(s203, s204)) | m_main_v_turn(s204, c_2)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16540, 16539])).
% 16.58/11.41 tff(16542,plain,
% 16.58/11.41 ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | m_main_v_turn(s204, c_2)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16541, 760, 16538])).
% 16.58/11.41 tff(16543,plain,
% 16.58/11.41 (m_main_v_turn(s204, c_2)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16542, 16510, 16454])).
% 16.58/11.41 tff(16544,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16545,plain,
% 16.58/11.41 ((~![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)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16546,plain,
% 16.58/11.41 ((~![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))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16545, 16544])).
% 16.58/11.41 tff(16547,plain,
% 16.58/11.41 (~m_main_v_turn(s204, c_1)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16546, 156, 16543])).
% 16.58/11.41 tff(16548,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16549,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s204, c_1) | (~node5(s204)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16550,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s204, c_1) | (~node5(s204))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 16.58/11.41 tff(16551,plain,
% 16.58/11.41 (~node5(s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16550, 776, 16547])).
% 16.58/11.41 tff(16552,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16553,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s204, c_n1) | (~node2(s204)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16554,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s204, c_n1) | (~node2(s204))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16553, 16552])).
% 16.58/11.41 tff(16555,plain,
% 16.58/11.41 (~node2(s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16554, 787, 16530])).
% 16.58/11.41 tff(16556,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16557,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s204, c_n1) | (~node3(s204)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16558,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s204, c_n1) | (~node3(s204))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16557, 16556])).
% 16.58/11.41 tff(16559,plain,
% 16.58/11.41 (~node3(s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16558, 798, 16530])).
% 16.58/11.41 tff(16560,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16561,plain,
% 16.58/11.41 ((~![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)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16562,plain,
% 16.58/11.41 ((~![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))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16561, 16560])).
% 16.58/11.41 tff(16563,plain,
% 16.58/11.41 (~m_main_v_state1(s204, c_c1)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16562, 539, 16526])).
% 16.58/11.41 tff(16564,plain,
% 16.58/11.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16565,plain,
% 16.58/11.41 (((~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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16566,plain,
% 16.58/11.41 (((~![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))))),
% 16.58/11.41 inference(monotonicity,[status(thm)],[16565])).
% 16.58/11.41 tff(16567,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(transitivity,[status(thm)],[16566, 16564])).
% 16.58/11.41 tff(16568,plain,
% 16.58/11.41 ((~![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)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16569,plain,
% 16.58/11.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16568, 16567])).
% 16.58/11.41 tff(16570,plain,
% 16.58/11.41 (~m_main_v_state2(s203, c_n2)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16569, 311, 16411, 16503])).
% 16.58/11.41 tff(16571,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16572,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s203, c_n2) | (~node9(s203)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16573,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s203, c_n2) | (~node9(s203))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16572, 16571])).
% 16.58/11.41 tff(16574,plain,
% 16.58/11.41 (~node9(s203)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16573, 88, 16570])).
% 16.58/11.41 tff(16575,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16576,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s203, c_n2) | (~node10(s203)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16577,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s203, c_n2) | (~node10(s203))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16576, 16575])).
% 16.58/11.41 tff(16578,plain,
% 16.58/11.41 (~node10(s203)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16577, 249, 16570])).
% 16.58/11.41 tff(16579,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16580,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s203, c_n2) | (~node8(s203)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16581,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s203, c_n2) | (~node8(s203))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 16.58/11.41 tff(16582,plain,
% 16.58/11.41 (~node8(s203)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16581, 271, 16570])).
% 16.58/11.41 tff(16583,plain,
% 16.58/11.41 (((~![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))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16584,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s203, s204)) | node14(s203, s204))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16585,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s203, s204)) | node14(s203, s204)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16584, 16583])).
% 16.58/11.41 tff(16586,plain,
% 16.58/11.41 (node14(s203, s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16585, 46, 16517])).
% 16.58/11.41 tff(16587,plain,
% 16.58/11.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16588,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16589,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16588, 16587])).
% 16.58/11.41 tff(16590,plain,
% 16.58/11.41 ((~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)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16589, 617, 16586])).
% 16.58/11.41 tff(16591,plain,
% 16.58/11.41 (m_main_v_state2(s204, c_c2)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16590, 16582, 16454, 16510, 16578, 16574])).
% 16.58/11.41 tff(16592,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16593,plain,
% 16.58/11.41 ((~![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)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16594,plain,
% 16.58/11.41 ((~![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))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16593, 16592])).
% 16.58/11.41 tff(16595,plain,
% 16.58/11.41 (~m_main_v_state2(s204, c_n2)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16594, 697, 16591])).
% 16.58/11.41 tff(16596,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16597,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s204, c_n2) | (~node4(s204)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16598,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s204, c_n2) | (~node4(s204))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16597, 16596])).
% 16.58/11.41 tff(16599,plain,
% 16.58/11.41 (~node4(s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16598, 388, 16595])).
% 16.58/11.41 tff(16600,plain,
% 16.58/11.41 (succ(s204, s205) <=> succ(s204, s205)),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16601,axiom,(succ(s204, s205)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound205')).
% 16.58/11.41 tff(16602,plain,
% 16.58/11.41 (succ(s204, s205)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16601, 16600])).
% 16.58/11.41 tff(16603,plain,
% 16.58/11.41 (((~![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))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16604,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16605,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16604, 16603])).
% 16.58/11.41 tff(16606,plain,
% 16.58/11.41 (trans(s204, s205)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16605, 16602, 32])).
% 16.58/11.41 tff(16607,plain,
% 16.58/11.41 (((~![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))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16608,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s204, s205)) | node7(s204, s205))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16609,plain,
% 16.58/11.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s204, s205)) | node7(s204, s205)),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16608, 16607])).
% 16.58/11.41 tff(16610,plain,
% 16.58/11.41 (node7(s204, s205)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16609, 206, 16606])).
% 16.58/11.41 tff(16611,plain,
% 16.58/11.41 (((~![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(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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16612,plain,
% 16.58/11.41 ((~![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(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205) | (~node7(s204, s205)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16613,plain,
% 16.58/11.41 ((~![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(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205) | (~node7(s204, s205))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16612, 16611])).
% 16.58/11.41 tff(16614,plain,
% 16.58/11.41 (m_main_v_state1(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16613, 820, 16610])).
% 16.58/11.41 tff(16615,plain,
% 16.58/11.41 (node6(s204, s205)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16614, 16599, 16563, 16559, 16555, 16551, 16534])).
% 16.58/11.41 tff(16616,plain,
% 16.58/11.41 (((~![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(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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16617,plain,
% 16.58/11.41 (((~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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16618,plain,
% 16.58/11.41 (((~![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))))),
% 16.58/11.41 inference(monotonicity,[status(thm)],[16617])).
% 16.58/11.41 tff(16619,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(transitivity,[status(thm)],[16618, 16616])).
% 16.58/11.41 tff(16620,plain,
% 16.58/11.41 ((~![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))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16621,plain,
% 16.58/11.41 ((~![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(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16620, 16619])).
% 16.58/11.41 tff(16622,plain,
% 16.58/11.41 (m_main_v_state1(s205, c_t1)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16621, 856, 16526, 16615])).
% 16.58/11.41 tff(16623,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16624,plain,
% 16.58/11.41 ((~![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)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16625,plain,
% 16.58/11.41 ((~![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))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16624, 16623])).
% 16.58/11.41 tff(16626,plain,
% 16.58/11.41 (~m_main_v_state2(s204, c_t2)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16625, 260, 16591])).
% 16.58/11.41 tff(16627,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16628,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s204, c_t2) | (~node12(s204)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16629,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s204, c_t2) | (~node12(s204))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16628, 16627])).
% 16.58/11.41 tff(16630,plain,
% 16.58/11.41 (~node12(s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16629, 633, 16626])).
% 16.58/11.41 tff(16631,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.41 tff(16632,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s204, c_n1) | (~node11(s204)))),
% 16.58/11.41 inference(quant_inst,[status(thm)],[])).
% 16.58/11.41 tff(16633,plain,
% 16.58/11.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s204, c_n1) | (~node11(s204))),
% 16.58/11.41 inference(modus_ponens,[status(thm)],[16632, 16631])).
% 16.58/11.41 tff(16634,plain,
% 16.58/11.41 (~node11(s204)),
% 16.58/11.41 inference(unit_resolution,[status(thm)],[16633, 238, 16530])).
% 16.58/11.41 tff(16635,plain,
% 16.58/11.41 (((~![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)))),
% 16.58/11.41 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16636,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s204, c_c1) | (~node10(s204)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16637,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s204, c_c1) | (~node10(s204))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16636, 16635])).
% 16.58/11.42 tff(16638,plain,
% 16.58/11.42 (~node10(s204)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16637, 675, 16563])).
% 16.58/11.42 tff(16639,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16640,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s204, c_n1) | (~node9(s204)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16641,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s204, c_n1) | (~node9(s204))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16640, 16639])).
% 16.58/11.42 tff(16642,plain,
% 16.58/11.42 (~node9(s204)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16641, 686, 16530])).
% 16.58/11.42 tff(16643,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16644,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s204, c_n2) | (~node8(s204)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16645,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s204, c_n2) | (~node8(s204))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16644, 16643])).
% 16.58/11.42 tff(16646,plain,
% 16.58/11.42 (~node8(s204)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16645, 271, 16595])).
% 16.58/11.42 tff(16647,plain,
% 16.58/11.42 (((~![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))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16648,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s204, s205)) | node14(s204, s205))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16649,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s204, s205)) | node14(s204, s205)),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16648, 16647])).
% 16.58/11.42 tff(16650,plain,
% 16.58/11.42 (node14(s204, s205)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16649, 46, 16606])).
% 16.58/11.42 tff(16651,plain,
% 16.58/11.42 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16652,plain,
% 16.58/11.42 (((~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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16653,plain,
% 16.58/11.42 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.58/11.42 inference(monotonicity,[status(thm)],[16652])).
% 16.58/11.42 tff(16654,plain,
% 16.58/11.42 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.58/11.42 inference(transitivity,[status(thm)],[16653, 16651])).
% 16.58/11.42 tff(16655,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s204, c_c2)) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | m_main_v_state2(s205, c_n2))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16656,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16655, 16654])).
% 16.58/11.42 tff(16657,plain,
% 16.58/11.42 (m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~m_main_v_state2(s204, c_c2))),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16656, 726, 16650])).
% 16.58/11.42 tff(16658,plain,
% 16.58/11.42 (m_main_v_state2(s205, c_n2)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16657, 16646, 16591, 16642, 16638, 16634, 16630])).
% 16.58/11.42 tff(16659,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16660,plain,
% 16.58/11.42 ((~![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)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16661,plain,
% 16.58/11.42 ((~![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))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16660, 16659])).
% 16.58/11.42 tff(16662,plain,
% 16.58/11.42 (~m_main_v_state2(s205, c_t2)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16661, 77, 16658])).
% 16.58/11.42 tff(16663,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16664,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s205, c_t2) | (~node15(s205)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16665,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s205, c_t2) | (~node15(s205))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16664, 16663])).
% 16.58/11.42 tff(16666,plain,
% 16.58/11.42 (~node15(s205)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16665, 103, 16662])).
% 16.58/11.42 tff(16667,plain,
% 16.58/11.42 (succ(s205, s206) <=> succ(s205, s206)),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16668,axiom,(succ(s205, s206)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound206')).
% 16.58/11.42 tff(16669,plain,
% 16.58/11.42 (succ(s205, s206)),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16668, 16667])).
% 16.58/11.42 tff(16670,plain,
% 16.58/11.42 (((~![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))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16671,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16672,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206)),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16671, 16670])).
% 16.58/11.42 tff(16673,plain,
% 16.58/11.42 (trans(s205, s206)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16672, 16669, 32])).
% 16.58/11.42 tff(16674,plain,
% 16.58/11.42 (((~![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))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16675,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s205, s206)) | node18(s205, s206))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16676,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s205, s206)) | node18(s205, s206)),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16675, 16674])).
% 16.58/11.42 tff(16677,plain,
% 16.58/11.42 (node18(s205, s206)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16676, 125, 16673])).
% 16.58/11.42 tff(16678,plain,
% 16.58/11.42 (((~![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(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))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16679,plain,
% 16.58/11.42 (((~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))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16680,plain,
% 16.58/11.42 (((~![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(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)))),
% 16.58/11.42 inference(monotonicity,[status(thm)],[16679])).
% 16.58/11.42 tff(16681,plain,
% 16.58/11.42 (((~![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(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))),
% 16.58/11.42 inference(transitivity,[status(thm)],[16680, 16678])).
% 16.58/11.42 tff(16682,plain,
% 16.58/11.42 ((~![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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node15(s205) | (~node18(s205, s206)) | m_main_v_turn(s206, c_1))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16683,plain,
% 16.58/11.42 ((~![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(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)),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16682, 16681])).
% 16.58/11.42 tff(16684,plain,
% 16.58/11.42 (node15(s205) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16683, 992, 16677])).
% 16.58/11.42 tff(16685,plain,
% 16.58/11.42 (m_main_v_turn(s206, c_1)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16684, 16666, 16658, 16622])).
% 16.58/11.42 tff(16686,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16687,plain,
% 16.58/11.42 ((~![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)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16688,plain,
% 16.58/11.42 ((~![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))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16687, 16686])).
% 16.58/11.42 tff(16689,plain,
% 16.58/11.42 (~m_main_v_turn(s206, c_2)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16688, 156, 16685])).
% 16.58/11.42 tff(16690,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16691,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s206, c_2) | (~node12(s206)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16692,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s206, c_2) | (~node12(s206))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16691, 16690])).
% 16.58/11.42 tff(16693,plain,
% 16.58/11.42 (~node12(s206)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16692, 184, 16689])).
% 16.58/11.42 tff(16694,plain,
% 16.58/11.42 (((~![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))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16695,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s205, s206)) | node14(s205, s206))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16696,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s205, s206)) | node14(s205, s206)),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16695, 16694])).
% 16.58/11.42 tff(16697,plain,
% 16.58/11.42 (node14(s205, s206)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16696, 46, 16673])).
% 16.58/11.42 tff(16698,plain,
% 16.58/11.42 (((~![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(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))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16699,plain,
% 16.58/11.42 ((~![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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | (~node14(s205, s206)) | m_main_v_state2(s206, c_t2))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16700,plain,
% 16.58/11.42 ((~![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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | (~node14(s205, s206)) | m_main_v_state2(s206, c_t2)),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16699, 16698])).
% 16.58/11.42 tff(16701,plain,
% 16.58/11.42 ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state2(s206, c_t2)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16700, 922, 16697])).
% 16.58/11.42 tff(16702,plain,
% 16.58/11.42 (m_main_v_state2(s206, c_t2)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16701, 16622, 16658])).
% 16.58/11.42 tff(16703,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16704,plain,
% 16.58/11.42 ((~![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)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16705,plain,
% 16.58/11.42 ((~![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))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16704, 16703])).
% 16.58/11.42 tff(16706,plain,
% 16.58/11.42 (~m_main_v_state2(s206, c_n2)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16705, 77, 16702])).
% 16.58/11.42 tff(16707,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16708,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s206, c_n2) | (~node8(s206)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16709,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s206, c_n2) | (~node8(s206))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16708, 16707])).
% 16.58/11.42 tff(16710,plain,
% 16.58/11.42 (~node8(s206)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16709, 271, 16706])).
% 16.58/11.42 tff(16711,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16712,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s206, c_n2) | (~node9(s206)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16713,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s206, c_n2) | (~node9(s206))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16712, 16711])).
% 16.58/11.42 tff(16714,plain,
% 16.58/11.42 (~node9(s206)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16713, 88, 16706])).
% 16.58/11.42 tff(16715,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16716,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s206, c_n2) | (~node10(s206)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16717,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s206, c_n2) | (~node10(s206))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16716, 16715])).
% 16.58/11.42 tff(16718,plain,
% 16.58/11.42 (~node10(s206)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16717, 249, 16706])).
% 16.58/11.42 tff(16719,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16720,plain,
% 16.58/11.42 ((~![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)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16721,plain,
% 16.58/11.42 ((~![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))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16720, 16719])).
% 16.58/11.42 tff(16722,plain,
% 16.58/11.42 (~m_main_v_state2(s206, c_c2)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16721, 260, 16702])).
% 16.58/11.42 tff(16723,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16724,plain,
% 16.58/11.42 ((~![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)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16725,plain,
% 16.58/11.42 ((~![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))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16724, 16723])).
% 16.58/11.42 tff(16726,plain,
% 16.58/11.42 (~m_main_v_state2(s205, c_c2)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16725, 697, 16658])).
% 16.58/11.42 tff(16727,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16728,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s205, c_c2) | (~node3(s205)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16729,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s205, c_c2) | (~node3(s205))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16728, 16727])).
% 16.58/11.42 tff(16730,plain,
% 16.58/11.42 (~node3(s205)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16729, 399, 16726])).
% 16.58/11.42 tff(16731,plain,
% 16.58/11.42 (((~![V: $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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16732,plain,
% 16.58/11.42 (((~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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16733,plain,
% 16.58/11.42 (((~![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))))),
% 16.58/11.42 inference(monotonicity,[status(thm)],[16732])).
% 16.58/11.42 tff(16734,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(transitivity,[status(thm)],[16733, 16731])).
% 16.58/11.42 tff(16735,plain,
% 16.58/11.42 ((~![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)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16736,plain,
% 16.58/11.42 ((~![V: $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))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16735, 16734])).
% 16.58/11.42 tff(16737,plain,
% 16.58/11.42 (~m_main_v_state1(s205, c_n1)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16736, 835, 16530, 16615])).
% 16.58/11.42 tff(16738,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16739,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s205, c_n1) | (~node2(s205)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16740,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s205, c_n1) | (~node2(s205))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16739, 16738])).
% 16.58/11.42 tff(16741,plain,
% 16.58/11.42 (~node2(s205)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16740, 787, 16737])).
% 16.58/11.42 tff(16742,plain,
% 16.58/11.42 (((~![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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16743,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s205, c_t2) | (~node1(s205)))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16744,plain,
% 16.58/11.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s205, c_t2) | (~node1(s205))),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16743, 16742])).
% 16.58/11.42 tff(16745,plain,
% 16.58/11.42 (~node1(s205)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16744, 195, 16662])).
% 16.58/11.42 tff(16746,plain,
% 16.58/11.42 (((~![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))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16747,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s205, s206)) | node7(s205, s206))),
% 16.58/11.42 inference(quant_inst,[status(thm)],[])).
% 16.58/11.42 tff(16748,plain,
% 16.58/11.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s205, s206)) | node7(s205, s206)),
% 16.58/11.42 inference(modus_ponens,[status(thm)],[16747, 16746])).
% 16.58/11.42 tff(16749,plain,
% 16.58/11.42 (node7(s205, s206)),
% 16.58/11.42 inference(unit_resolution,[status(thm)],[16748, 206, 16673])).
% 16.58/11.42 tff(16750,plain,
% 16.58/11.42 (((~![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(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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16751,plain,
% 16.58/11.42 (((~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)))),
% 16.58/11.42 inference(rewrite,[status(thm)],[])).
% 16.58/11.42 tff(16752,plain,
% 16.58/11.42 (((~![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(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))))),
% 16.58/11.43 inference(monotonicity,[status(thm)],[16751])).
% 16.58/11.43 tff(16753,plain,
% 16.58/11.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.58/11.43 inference(transitivity,[status(thm)],[16752, 16750])).
% 16.58/11.43 tff(16754,plain,
% 16.58/11.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.58/11.43 inference(quant_inst,[status(thm)],[])).
% 16.58/11.43 tff(16755,plain,
% 16.58/11.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.58/11.43 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 16.58/11.43 tff(16756,plain,
% 16.58/11.43 ((~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)),
% 16.58/11.43 inference(unit_resolution,[status(thm)],[16755, 892, 16749])).
% 16.58/11.43 tff(16757,plain,
% 16.58/11.43 (m_main_v_state1(s206, c_c1)),
% 16.58/11.43 inference(unit_resolution,[status(thm)],[16756, 16745, 16658, 16622, 16741, 16730])).
% 16.58/11.43 tff(16758,plain,
% 16.58/11.43 (((~![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)))),
% 16.58/11.43 inference(rewrite,[status(thm)],[])).
% 16.58/11.43 tff(16759,plain,
% 16.58/11.43 ((~![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)))),
% 16.58/11.43 inference(quant_inst,[status(thm)],[])).
% 16.58/11.43 tff(16760,plain,
% 16.58/11.43 ((~![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))),
% 16.58/11.43 inference(modus_ponens,[status(thm)],[16759, 16758])).
% 16.58/11.43 tff(16761,plain,
% 16.58/11.43 (~m_main_v_state1(s206, c_n1)),
% 16.58/11.43 inference(unit_resolution,[status(thm)],[16760, 454, 16757])).
% 16.58/11.43 tff(16762,plain,
% 16.58/11.43 (((~![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)))),
% 16.58/11.43 inference(rewrite,[status(thm)],[])).
% 16.58/11.43 tff(16763,plain,
% 16.58/11.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s206, c_n1) | (~node11(s206)))),
% 16.58/11.43 inference(quant_inst,[status(thm)],[])).
% 16.58/11.43 tff(16764,plain,
% 16.58/11.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s206, c_n1) | (~node11(s206))),
% 16.58/11.43 inference(modus_ponens,[status(thm)],[16763, 16762])).
% 16.58/11.43 tff(16765,plain,
% 16.58/11.43 (~node11(s206)),
% 16.58/11.43 inference(unit_resolution,[status(thm)],[16764, 238, 16761])).
% 16.58/11.43 tff(16766,plain,
% 16.58/11.43 (succ(s206, s207) <=> succ(s206, s207)),
% 16.58/11.43 inference(rewrite,[status(thm)],[])).
% 16.58/11.43 tff(16767,axiom,(succ(s206, s207)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound207')).
% 16.58/11.43 tff(16768,plain,
% 16.58/11.43 (succ(s206, s207)),
% 16.58/11.43 inference(modus_ponens,[status(thm)],[16767, 16766])).
% 16.58/11.43 tff(16769,plain,
% 16.58/11.43 (((~![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))),
% 16.58/11.43 inference(rewrite,[status(thm)],[])).
% 16.58/11.43 tff(16770,plain,
% 16.58/11.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s206, s207)) | trans(s206, s207))),
% 16.58/11.43 inference(quant_inst,[status(thm)],[])).
% 16.58/11.43 tff(16771,plain,
% 16.58/11.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207)),
% 16.58/11.43 inference(modus_ponens,[status(thm)],[16770, 16769])).
% 16.58/11.43 tff(16772,plain,
% 16.58/11.43 (trans(s206, s207)),
% 16.58/11.43 inference(unit_resolution,[status(thm)],[16771, 16768, 32])).
% 16.58/11.43 tff(16773,plain,
% 16.58/11.43 (((~![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))),
% 16.58/11.43 inference(rewrite,[status(thm)],[])).
% 16.58/11.43 tff(16774,plain,
% 16.58/11.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s206, s207)) | node14(s206, s207))),
% 16.58/11.43 inference(quant_inst,[status(thm)],[])).
% 16.58/11.43 tff(16775,plain,
% 16.58/11.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s206, s207)) | node14(s206, s207)),
% 16.58/11.43 inference(modus_ponens,[status(thm)],[16774, 16773])).
% 16.58/11.43 tff(16776,plain,
% 16.58/11.43 (node14(s206, s207)),
% 16.58/11.43 inference(unit_resolution,[status(thm)],[16775, 46, 16772])).
% 16.58/11.43 tff(16777,plain,
% 16.58/11.43 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.58/11.43 inference(rewrite,[status(thm)],[])).
% 16.58/11.43 tff(16778,plain,
% 16.58/11.43 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.58/11.43 inference(quant_inst,[status(thm)],[])).
% 16.58/11.43 tff(16779,plain,
% 16.58/11.43 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.58/11.43 inference(modus_ponens,[status(thm)],[16778, 16777])).
% 16.58/11.43 tff(16780,plain,
% 16.58/11.43 (m_main_v_state2(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207)),
% 16.58/11.43 inference(unit_resolution,[status(thm)],[16779, 296, 16776])).
% 16.58/11.43 tff(16781,plain,
% 16.58/11.43 (node13(s206, s207)),
% 16.58/11.43 inference(unit_resolution,[status(thm)],[16780, 16765, 16722, 16718, 16714, 16710, 16693])).
% 16.58/11.43 tff(16782,plain,
% 16.58/11.43 (((~![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(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)))),
% 16.58/11.43 inference(rewrite,[status(thm)],[])).
% 16.58/11.43 tff(16783,plain,
% 16.58/11.43 (((~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)))),
% 16.58/11.43 inference(rewrite,[status(thm)],[])).
% 16.58/11.43 tff(16784,plain,
% 16.58/11.43 (((~![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))))),
% 16.63/11.43 inference(monotonicity,[status(thm)],[16783])).
% 16.63/11.43 tff(16785,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(transitivity,[status(thm)],[16784, 16782])).
% 16.63/11.43 tff(16786,plain,
% 16.63/11.43 ((~![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)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16787,plain,
% 16.63/11.43 ((~![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(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16786, 16785])).
% 16.63/11.43 tff(16788,plain,
% 16.63/11.43 (~m_main_v_state2(s207, c_n2)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16787, 311, 16706, 16781])).
% 16.63/11.43 tff(16789,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16790,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s207, c_n2) | (~node9(s207)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16791,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s207, c_n2) | (~node9(s207))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16790, 16789])).
% 16.63/11.43 tff(16792,plain,
% 16.63/11.43 (~node9(s207)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16791, 88, 16788])).
% 16.63/11.43 tff(16793,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16794,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s207, c_n2) | (~node10(s207)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16795,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s207, c_n2) | (~node10(s207))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16794, 16793])).
% 16.63/11.43 tff(16796,plain,
% 16.63/11.43 (~node10(s207)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16795, 249, 16788])).
% 16.63/11.43 tff(16797,plain,
% 16.63/11.43 (((~![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(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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16798,plain,
% 16.63/11.43 (((~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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16799,plain,
% 16.63/11.43 (((~![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))))),
% 16.63/11.43 inference(monotonicity,[status(thm)],[16798])).
% 16.63/11.43 tff(16800,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(transitivity,[status(thm)],[16799, 16797])).
% 16.63/11.43 tff(16801,plain,
% 16.63/11.43 ((~![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))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16802,plain,
% 16.63/11.43 ((~![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(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16801, 16800])).
% 16.63/11.43 tff(16803,plain,
% 16.63/11.43 (m_main_v_state2(s207, c_t2)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16802, 518, 16702, 16781])).
% 16.63/11.43 tff(16804,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16805,plain,
% 16.63/11.43 ((~![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)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16806,plain,
% 16.63/11.43 ((~![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))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16805, 16804])).
% 16.63/11.43 tff(16807,plain,
% 16.63/11.43 (~m_main_v_state1(s206, c_t1)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16806, 539, 16757])).
% 16.63/11.43 tff(16808,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16809,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s206, c_t1) | (~node5(s206)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16810,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s206, c_t1) | (~node5(s206))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16809, 16808])).
% 16.63/11.43 tff(16811,plain,
% 16.63/11.43 (~node5(s206)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16810, 550, 16807])).
% 16.63/11.43 tff(16812,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16813,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s206, c_n2) | (~node4(s206)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16814,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s206, c_n2) | (~node4(s206))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16813, 16812])).
% 16.63/11.43 tff(16815,plain,
% 16.63/11.43 (~node4(s206)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16814, 388, 16706])).
% 16.63/11.43 tff(16816,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16817,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s206, c_c2) | (~node3(s206)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16818,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s206, c_c2) | (~node3(s206))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16817, 16816])).
% 16.63/11.43 tff(16819,plain,
% 16.63/11.43 (~node3(s206)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16818, 399, 16722])).
% 16.63/11.43 tff(16820,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16821,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s206, c_n2) | (~node2(s206)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16822,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s206, c_n2) | (~node2(s206))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16821, 16820])).
% 16.63/11.43 tff(16823,plain,
% 16.63/11.43 (~node2(s206)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16822, 410, 16706])).
% 16.63/11.43 tff(16824,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16825,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s206, c_n1) | (~node1(s206)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16826,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s206, c_n1) | (~node1(s206))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16825, 16824])).
% 16.63/11.43 tff(16827,plain,
% 16.63/11.43 (~node1(s206)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16826, 421, 16761])).
% 16.63/11.43 tff(16828,plain,
% 16.63/11.43 (((~![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))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16829,plain,
% 16.63/11.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s206, s207)) | node7(s206, s207))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16830,plain,
% 16.63/11.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s206, s207)) | node7(s206, s207)),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16829, 16828])).
% 16.63/11.43 tff(16831,plain,
% 16.63/11.43 (node7(s206, s207)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16830, 206, 16772])).
% 16.63/11.43 tff(16832,plain,
% 16.63/11.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16833,plain,
% 16.63/11.43 (((~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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16834,plain,
% 16.63/11.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 16.63/11.43 inference(monotonicity,[status(thm)],[16833])).
% 16.63/11.43 tff(16835,plain,
% 16.63/11.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 16.63/11.43 inference(transitivity,[status(thm)],[16834, 16832])).
% 16.63/11.43 tff(16836,plain,
% 16.63/11.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16837,plain,
% 16.63/11.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16836, 16835])).
% 16.63/11.43 tff(16838,plain,
% 16.63/11.43 (m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16837, 584, 16831])).
% 16.63/11.43 tff(16839,plain,
% 16.63/11.43 (m_main_v_state1(s207, c_n1)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16838, 16827, 16757, 16823, 16819, 16815, 16811])).
% 16.63/11.43 tff(16840,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16841,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s207, c_n2) | (~node8(s207)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16842,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s207, c_n2) | (~node8(s207))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16841, 16840])).
% 16.63/11.43 tff(16843,plain,
% 16.63/11.43 (~node8(s207)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16842, 271, 16788])).
% 16.63/11.43 tff(16844,plain,
% 16.63/11.43 (succ(s207, s208) <=> succ(s207, s208)),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16845,axiom,(succ(s207, s208)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound208')).
% 16.63/11.43 tff(16846,plain,
% 16.63/11.43 (succ(s207, s208)),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16845, 16844])).
% 16.63/11.43 tff(16847,plain,
% 16.63/11.43 (((~![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))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16848,plain,
% 16.63/11.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16849,plain,
% 16.63/11.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208)),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16848, 16847])).
% 16.63/11.43 tff(16850,plain,
% 16.63/11.43 (trans(s207, s208)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16849, 16846, 32])).
% 16.63/11.43 tff(16851,plain,
% 16.63/11.43 (((~![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))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16852,plain,
% 16.63/11.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s207, s208)) | node14(s207, s208))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16853,plain,
% 16.63/11.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s207, s208)) | node14(s207, s208)),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16852, 16851])).
% 16.63/11.43 tff(16854,plain,
% 16.63/11.43 (node14(s207, s208)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16853, 46, 16850])).
% 16.63/11.43 tff(16855,plain,
% 16.63/11.43 (((~![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(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))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16856,plain,
% 16.63/11.43 ((~![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(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))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16857,plain,
% 16.63/11.43 ((~![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(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)),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16856, 16855])).
% 16.63/11.43 tff(16858,plain,
% 16.63/11.43 ((~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)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16857, 617, 16854])).
% 16.63/11.43 tff(16859,plain,
% 16.63/11.43 (m_main_v_state2(s208, c_c2)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16858, 16843, 16839, 16803, 16796, 16792])).
% 16.63/11.43 tff(16860,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16861,plain,
% 16.63/11.43 ((~![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)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16862,plain,
% 16.63/11.43 ((~![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))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16861, 16860])).
% 16.63/11.43 tff(16863,plain,
% 16.63/11.43 (~m_main_v_state2(s208, c_t2)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16862, 260, 16859])).
% 16.63/11.43 tff(16864,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16865,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s208, c_t2) | (~node12(s208)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16866,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s208, c_t2) | (~node12(s208))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16865, 16864])).
% 16.63/11.43 tff(16867,plain,
% 16.63/11.43 (~node12(s208)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16866, 633, 16863])).
% 16.63/11.43 tff(16868,plain,
% 16.63/11.43 (((~![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))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16869,plain,
% 16.63/11.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s207, s208)) | node7(s207, s208))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16870,plain,
% 16.63/11.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s207, s208)) | node7(s207, s208)),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16869, 16868])).
% 16.63/11.43 tff(16871,plain,
% 16.63/11.43 (node7(s207, s208)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16870, 206, 16850])).
% 16.63/11.43 tff(16872,plain,
% 16.63/11.43 (((~![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(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))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16873,plain,
% 16.63/11.43 ((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node7(s207, s208)) | m_main_v_state1(s208, c_t1))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16874,plain,
% 16.63/11.43 ((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node7(s207, s208)) | m_main_v_state1(s208, c_t1)),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16873, 16872])).
% 16.63/11.43 tff(16875,plain,
% 16.63/11.43 ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | m_main_v_state1(s208, c_t1)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16874, 651, 16871])).
% 16.63/11.43 tff(16876,plain,
% 16.63/11.43 (m_main_v_state1(s208, c_t1)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16875, 16803, 16839])).
% 16.63/11.43 tff(16877,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16878,plain,
% 16.63/11.43 ((~![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)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16879,plain,
% 16.63/11.43 ((~![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))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16878, 16877])).
% 16.63/11.43 tff(16880,plain,
% 16.63/11.43 (~m_main_v_state1(s208, c_n1)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16879, 10, 16876])).
% 16.63/11.43 tff(16881,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16882,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s208, c_n1) | (~node11(s208)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16883,plain,
% 16.63/11.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s208, c_n1) | (~node11(s208))),
% 16.63/11.43 inference(modus_ponens,[status(thm)],[16882, 16881])).
% 16.63/11.43 tff(16884,plain,
% 16.63/11.43 (~node11(s208)),
% 16.63/11.43 inference(unit_resolution,[status(thm)],[16883, 238, 16880])).
% 16.63/11.43 tff(16885,plain,
% 16.63/11.43 (((~![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)))),
% 16.63/11.43 inference(rewrite,[status(thm)],[])).
% 16.63/11.43 tff(16886,plain,
% 16.63/11.43 ((~![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)))),
% 16.63/11.43 inference(quant_inst,[status(thm)],[])).
% 16.63/11.43 tff(16887,plain,
% 16.63/11.43 ((~![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))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16886, 16885])).
% 16.63/11.44 tff(16888,plain,
% 16.63/11.44 (~m_main_v_state1(s208, c_c1)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16887, 539, 16876])).
% 16.63/11.44 tff(16889,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16890,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s208, c_c1) | (~node10(s208)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16891,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s208, c_c1) | (~node10(s208))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16890, 16889])).
% 16.63/11.44 tff(16892,plain,
% 16.63/11.44 (~node10(s208)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16891, 675, 16888])).
% 16.63/11.44 tff(16893,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16894,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s208, c_n1) | (~node9(s208)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16895,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s208, c_n1) | (~node9(s208))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16894, 16893])).
% 16.63/11.44 tff(16896,plain,
% 16.63/11.44 (~node9(s208)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16895, 686, 16880])).
% 16.63/11.44 tff(16897,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16898,plain,
% 16.63/11.44 ((~![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)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16899,plain,
% 16.63/11.44 ((~![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))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16898, 16897])).
% 16.63/11.44 tff(16900,plain,
% 16.63/11.44 (~m_main_v_state2(s208, c_n2)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16899, 697, 16859])).
% 16.63/11.44 tff(16901,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16902,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s208, c_n2) | (~node8(s208)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16903,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s208, c_n2) | (~node8(s208))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16902, 16901])).
% 16.63/11.44 tff(16904,plain,
% 16.63/11.44 (~node8(s208)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16903, 271, 16900])).
% 16.63/11.44 tff(16905,plain,
% 16.63/11.44 (succ(s208, s209) <=> succ(s208, s209)),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16906,axiom,(succ(s208, s209)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound209')).
% 16.63/11.44 tff(16907,plain,
% 16.63/11.44 (succ(s208, s209)),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16906, 16905])).
% 16.63/11.44 tff(16908,plain,
% 16.63/11.44 (((~![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))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16909,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16910,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209)),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16909, 16908])).
% 16.63/11.44 tff(16911,plain,
% 16.63/11.44 (trans(s208, s209)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16910, 16907, 32])).
% 16.63/11.44 tff(16912,plain,
% 16.63/11.44 (((~![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))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16913,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s208, s209)) | node14(s208, s209))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16914,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s208, s209)) | node14(s208, s209)),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16913, 16912])).
% 16.63/11.44 tff(16915,plain,
% 16.63/11.44 (node14(s208, s209)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16914, 46, 16911])).
% 16.63/11.44 tff(16916,plain,
% 16.63/11.44 (((~![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(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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16917,plain,
% 16.63/11.44 (((~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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16918,plain,
% 16.63/11.44 (((~![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(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))))),
% 16.63/11.44 inference(monotonicity,[status(thm)],[16917])).
% 16.63/11.44 tff(16919,plain,
% 16.63/11.44 (((~![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(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)))),
% 16.63/11.44 inference(transitivity,[status(thm)],[16918, 16916])).
% 16.63/11.44 tff(16920,plain,
% 16.63/11.44 ((~![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(s208, c_c2)) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | m_main_v_state2(s209, c_n2))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16921,plain,
% 16.63/11.44 ((~![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(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16920, 16919])).
% 16.63/11.44 tff(16922,plain,
% 16.63/11.44 (m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~m_main_v_state2(s208, c_c2))),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16921, 726, 16915])).
% 16.63/11.44 tff(16923,plain,
% 16.63/11.44 (m_main_v_state2(s209, c_n2)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16922, 16904, 16859, 16896, 16892, 16884, 16867])).
% 16.63/11.44 tff(16924,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16925,plain,
% 16.63/11.44 ((~![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)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16926,plain,
% 16.63/11.44 ((~![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))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16925, 16924])).
% 16.63/11.44 tff(16927,plain,
% 16.63/11.44 (~m_main_v_state2(s209, c_c2)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16926, 697, 16923])).
% 16.63/11.44 tff(16928,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16929,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s209, c_c2) | (~node3(s209)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16930,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s209, c_c2) | (~node3(s209))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16929, 16928])).
% 16.63/11.44 tff(16931,plain,
% 16.63/11.44 (~node3(s209)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16930, 399, 16927])).
% 16.63/11.44 tff(16932,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16933,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s208, c_n1) | (~node1(s208)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16934,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s208, c_n1) | (~node1(s208))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16933, 16932])).
% 16.63/11.44 tff(16935,plain,
% 16.63/11.44 (~node1(s208)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16934, 421, 16880])).
% 16.63/11.44 tff(16936,plain,
% 16.63/11.44 (((~![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))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16937,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s207, s208)) | node18(s207, s208))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16938,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s207, s208)) | node18(s207, s208)),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16937, 16936])).
% 16.63/11.44 tff(16939,plain,
% 16.63/11.44 (node18(s207, s208)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16938, 125, 16850])).
% 16.63/11.44 tff(16940,plain,
% 16.63/11.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16941,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node18(s207, s208)) | m_main_v_turn(s208, c_2))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16942,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node18(s207, s208)) | m_main_v_turn(s208, c_2)),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16941, 16940])).
% 16.63/11.44 tff(16943,plain,
% 16.63/11.44 ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | m_main_v_turn(s208, c_2)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16942, 760, 16939])).
% 16.63/11.44 tff(16944,plain,
% 16.63/11.44 (m_main_v_turn(s208, c_2)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16943, 16803, 16839])).
% 16.63/11.44 tff(16945,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16946,plain,
% 16.63/11.44 ((~![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)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16947,plain,
% 16.63/11.44 ((~![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))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16946, 16945])).
% 16.63/11.44 tff(16948,plain,
% 16.63/11.44 (~m_main_v_turn(s208, c_1)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16947, 156, 16944])).
% 16.63/11.44 tff(16949,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16950,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s208, c_1) | (~node5(s208)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16951,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s208, c_1) | (~node5(s208))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16950, 16949])).
% 16.63/11.44 tff(16952,plain,
% 16.63/11.44 (~node5(s208)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16951, 776, 16948])).
% 16.63/11.44 tff(16953,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16954,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s208, c_n1) | (~node2(s208)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16955,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s208, c_n1) | (~node2(s208))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 16.63/11.44 tff(16956,plain,
% 16.63/11.44 (~node2(s208)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16955, 787, 16880])).
% 16.63/11.44 tff(16957,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16958,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s208, c_n1) | (~node3(s208)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16959,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s208, c_n1) | (~node3(s208))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16958, 16957])).
% 16.63/11.44 tff(16960,plain,
% 16.63/11.44 (~node3(s208)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16959, 798, 16880])).
% 16.63/11.44 tff(16961,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16962,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s208, c_n2) | (~node4(s208)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16963,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s208, c_n2) | (~node4(s208))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 16.63/11.44 tff(16964,plain,
% 16.63/11.44 (~node4(s208)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16963, 388, 16900])).
% 16.63/11.44 tff(16965,plain,
% 16.63/11.44 (((~![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))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16966,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s208, s209)) | node7(s208, s209))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16967,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s208, s209)) | node7(s208, s209)),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16966, 16965])).
% 16.63/11.44 tff(16968,plain,
% 16.63/11.44 (node7(s208, s209)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16967, 206, 16911])).
% 16.63/11.44 tff(16969,plain,
% 16.63/11.44 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16970,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16971,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16970, 16969])).
% 16.63/11.44 tff(16972,plain,
% 16.63/11.44 (m_main_v_state1(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16971, 820, 16968])).
% 16.63/11.44 tff(16973,plain,
% 16.63/11.44 (node6(s208, s209)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16972, 16964, 16888, 16960, 16956, 16952, 16935])).
% 16.63/11.44 tff(16974,plain,
% 16.63/11.44 (((~![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(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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16975,plain,
% 16.63/11.44 (((~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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16976,plain,
% 16.63/11.44 (((~![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))))),
% 16.63/11.44 inference(monotonicity,[status(thm)],[16975])).
% 16.63/11.44 tff(16977,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(transitivity,[status(thm)],[16976, 16974])).
% 16.63/11.44 tff(16978,plain,
% 16.63/11.44 ((~![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)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16979,plain,
% 16.63/11.44 ((~![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(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16978, 16977])).
% 16.63/11.44 tff(16980,plain,
% 16.63/11.44 (~m_main_v_state1(s209, c_n1)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16979, 835, 16880, 16973])).
% 16.63/11.44 tff(16981,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16982,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s209, c_n1) | (~node2(s209)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16983,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s209, c_n1) | (~node2(s209))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16982, 16981])).
% 16.63/11.44 tff(16984,plain,
% 16.63/11.44 (~node2(s209)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16983, 787, 16980])).
% 16.63/11.44 tff(16985,plain,
% 16.63/11.44 (((~![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(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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16986,plain,
% 16.63/11.44 (((~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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16987,plain,
% 16.63/11.44 (((~![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))))),
% 16.63/11.44 inference(monotonicity,[status(thm)],[16986])).
% 16.63/11.44 tff(16988,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(transitivity,[status(thm)],[16987, 16985])).
% 16.63/11.44 tff(16989,plain,
% 16.63/11.44 ((~![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))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16990,plain,
% 16.63/11.44 ((~![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(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16989, 16988])).
% 16.63/11.44 tff(16991,plain,
% 16.63/11.44 (m_main_v_state1(s209, c_t1)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16990, 856, 16876, 16973])).
% 16.63/11.44 tff(16992,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16993,plain,
% 16.63/11.44 ((~![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)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16994,plain,
% 16.63/11.44 ((~![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))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16993, 16992])).
% 16.63/11.44 tff(16995,plain,
% 16.63/11.44 (~m_main_v_state2(s209, c_t2)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16994, 77, 16923])).
% 16.63/11.44 tff(16996,plain,
% 16.63/11.44 (((~![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)))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(16997,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s209, c_t2) | (~node1(s209)))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(16998,plain,
% 16.63/11.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s209, c_t2) | (~node1(s209))),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[16997, 16996])).
% 16.63/11.44 tff(16999,plain,
% 16.63/11.44 (~node1(s209)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[16998, 195, 16995])).
% 16.63/11.44 tff(17000,plain,
% 16.63/11.44 (succ(s209, s210) <=> succ(s209, s210)),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(17001,axiom,(succ(s209, s210)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound210')).
% 16.63/11.44 tff(17002,plain,
% 16.63/11.44 (succ(s209, s210)),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[17001, 17000])).
% 16.63/11.44 tff(17003,plain,
% 16.63/11.44 (((~![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))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(17004,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(17005,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210)),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[17004, 17003])).
% 16.63/11.44 tff(17006,plain,
% 16.63/11.44 (trans(s209, s210)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[17005, 17002, 32])).
% 16.63/11.44 tff(17007,plain,
% 16.63/11.44 (((~![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))),
% 16.63/11.44 inference(rewrite,[status(thm)],[])).
% 16.63/11.44 tff(17008,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s209, s210)) | node7(s209, s210))),
% 16.63/11.44 inference(quant_inst,[status(thm)],[])).
% 16.63/11.44 tff(17009,plain,
% 16.63/11.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s209, s210)) | node7(s209, s210)),
% 16.63/11.44 inference(modus_ponens,[status(thm)],[17008, 17007])).
% 16.63/11.44 tff(17010,plain,
% 16.63/11.44 (node7(s209, s210)),
% 16.63/11.44 inference(unit_resolution,[status(thm)],[17009, 206, 17006])).
% 16.63/11.44 tff(17011,plain,
% 16.63/11.44 (((~![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(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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17012,plain,
% 16.63/11.45 (((~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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17013,plain,
% 16.63/11.45 (((~![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(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))))),
% 16.63/11.45 inference(monotonicity,[status(thm)],[17012])).
% 16.63/11.45 tff(17014,plain,
% 16.63/11.45 (((~![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(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)))),
% 16.63/11.45 inference(transitivity,[status(thm)],[17013, 17011])).
% 16.63/11.45 tff(17015,plain,
% 16.63/11.45 ((~![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(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))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17016,plain,
% 16.63/11.45 ((~![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(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))),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17015, 17014])).
% 16.63/11.45 tff(17017,plain,
% 16.63/11.45 ((~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)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17016, 892, 17010])).
% 16.63/11.45 tff(17018,plain,
% 16.63/11.45 (m_main_v_state1(s210, c_c1)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17017, 16999, 16923, 16991, 16984, 16931])).
% 16.63/11.45 tff(17019,plain,
% 16.63/11.45 (((~![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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17020,plain,
% 16.63/11.45 ((~![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)))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17021,plain,
% 16.63/11.45 ((~![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))),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17020, 17019])).
% 16.63/11.45 tff(17022,plain,
% 16.63/11.45 (~m_main_v_state1(s210, c_t1)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17021, 539, 17018])).
% 16.63/11.45 tff(17023,plain,
% 16.63/11.45 (((~![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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17024,plain,
% 16.63/11.45 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s210, c_t1) | (~node5(s210)))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17025,plain,
% 16.63/11.45 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s210, c_t1) | (~node5(s210))),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17024, 17023])).
% 16.63/11.45 tff(17026,plain,
% 16.63/11.45 (~node5(s210)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17025, 550, 17022])).
% 16.63/11.45 tff(17027,plain,
% 16.63/11.45 (((~![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))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17028,plain,
% 16.63/11.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s209, s210)) | node14(s209, s210))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17029,plain,
% 16.63/11.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s209, s210)) | node14(s209, s210)),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17028, 17027])).
% 16.63/11.45 tff(17030,plain,
% 16.63/11.45 (node14(s209, s210)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17029, 46, 17006])).
% 16.63/11.45 tff(17031,plain,
% 16.63/11.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17032,plain,
% 16.63/11.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17033,plain,
% 16.63/11.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17032, 17031])).
% 16.63/11.45 tff(17034,plain,
% 16.63/11.45 ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state2(s210, c_t2)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17033, 922, 17030])).
% 16.63/11.45 tff(17035,plain,
% 16.63/11.45 (m_main_v_state2(s210, c_t2)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17034, 16991, 16923])).
% 16.63/11.45 tff(17036,plain,
% 16.63/11.45 (((~![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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17037,plain,
% 16.63/11.45 ((~![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)))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17038,plain,
% 16.63/11.45 ((~![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))),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17037, 17036])).
% 16.63/11.45 tff(17039,plain,
% 16.63/11.45 (~m_main_v_state2(s210, c_n2)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17038, 77, 17035])).
% 16.63/11.45 tff(17040,plain,
% 16.63/11.45 (((~![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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17041,plain,
% 16.63/11.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s210, c_n2) | (~node4(s210)))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17042,plain,
% 16.63/11.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s210, c_n2) | (~node4(s210))),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17041, 17040])).
% 16.63/11.45 tff(17043,plain,
% 16.63/11.45 (~node4(s210)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17042, 388, 17039])).
% 16.63/11.45 tff(17044,plain,
% 16.63/11.45 (((~![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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17045,plain,
% 16.63/11.45 ((~![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)))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17046,plain,
% 16.63/11.45 ((~![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))),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17045, 17044])).
% 16.63/11.45 tff(17047,plain,
% 16.63/11.45 (~m_main_v_state2(s210, c_c2)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17046, 260, 17035])).
% 16.63/11.45 tff(17048,plain,
% 16.63/11.45 (((~![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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17049,plain,
% 16.63/11.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s210, c_c2) | (~node3(s210)))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17050,plain,
% 16.63/11.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s210, c_c2) | (~node3(s210))),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17049, 17048])).
% 16.63/11.45 tff(17051,plain,
% 16.63/11.45 (~node3(s210)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17050, 399, 17047])).
% 16.63/11.45 tff(17052,plain,
% 16.63/11.45 (((~![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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17053,plain,
% 16.63/11.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s210, c_n2) | (~node2(s210)))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17054,plain,
% 16.63/11.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s210, c_n2) | (~node2(s210))),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17053, 17052])).
% 16.63/11.45 tff(17055,plain,
% 16.63/11.45 (~node2(s210)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17054, 410, 17039])).
% 16.63/11.45 tff(17056,plain,
% 16.63/11.45 (((~![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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17057,plain,
% 16.63/11.45 ((~![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)))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17058,plain,
% 16.63/11.45 ((~![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))),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17057, 17056])).
% 16.63/11.45 tff(17059,plain,
% 16.63/11.45 (~m_main_v_state1(s210, c_n1)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17058, 454, 17018])).
% 16.63/11.45 tff(17060,plain,
% 16.63/11.45 (((~![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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17061,plain,
% 16.63/11.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s210, c_n1) | (~node1(s210)))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17062,plain,
% 16.63/11.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s210, c_n1) | (~node1(s210))),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17061, 17060])).
% 16.63/11.45 tff(17063,plain,
% 16.63/11.45 (~node1(s210)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17062, 421, 17059])).
% 16.63/11.45 tff(17064,plain,
% 16.63/11.45 (succ(s210, s211) <=> succ(s210, s211)),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17065,axiom,(succ(s210, s211)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound211')).
% 16.63/11.45 tff(17066,plain,
% 16.63/11.45 (succ(s210, s211)),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17065, 17064])).
% 16.63/11.45 tff(17067,plain,
% 16.63/11.45 (((~![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))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17068,plain,
% 16.63/11.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17069,plain,
% 16.63/11.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211)),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17068, 17067])).
% 16.63/11.45 tff(17070,plain,
% 16.63/11.45 (trans(s210, s211)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17069, 17066, 32])).
% 16.63/11.45 tff(17071,plain,
% 16.63/11.45 (((~![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))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17072,plain,
% 16.63/11.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s210, s211)) | node7(s210, s211))),
% 16.63/11.45 inference(quant_inst,[status(thm)],[])).
% 16.63/11.45 tff(17073,plain,
% 16.63/11.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s210, s211)) | node7(s210, s211)),
% 16.63/11.45 inference(modus_ponens,[status(thm)],[17072, 17071])).
% 16.63/11.45 tff(17074,plain,
% 16.63/11.45 (node7(s210, s211)),
% 16.63/11.45 inference(unit_resolution,[status(thm)],[17073, 206, 17070])).
% 16.63/11.45 tff(17075,plain,
% 16.63/11.45 (((~![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(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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17076,plain,
% 16.63/11.45 (((~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)))),
% 16.63/11.45 inference(rewrite,[status(thm)],[])).
% 16.63/11.45 tff(17077,plain,
% 16.63/11.45 (((~![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(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))))),
% 16.63/11.45 inference(monotonicity,[status(thm)],[17076])).
% 16.63/11.45 tff(17078,plain,
% 16.65/11.45 (((~![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(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)))),
% 16.65/11.45 inference(transitivity,[status(thm)],[17077, 17075])).
% 16.65/11.45 tff(17079,plain,
% 16.65/11.45 ((~![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(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)) | m_main_v_state1(s211, c_n1))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17080,plain,
% 16.65/11.45 ((~![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(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211))),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17079, 17078])).
% 16.65/11.45 tff(17081,plain,
% 16.65/11.45 (m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17080, 584, 17074])).
% 16.65/11.45 tff(17082,plain,
% 16.65/11.45 (m_main_v_state1(s211, c_n1)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17081, 17063, 17018, 17055, 17051, 17043, 17026])).
% 16.65/11.45 tff(17083,plain,
% 16.65/11.45 (((~![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)))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17084,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s209, c_t2) | (~node15(s209)))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17085,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s209, c_t2) | (~node15(s209))),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17084, 17083])).
% 16.65/11.45 tff(17086,plain,
% 16.65/11.45 (~node15(s209)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17085, 103, 16995])).
% 16.65/11.45 tff(17087,plain,
% 16.65/11.45 (((~![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))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17088,plain,
% 16.65/11.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s209, s210)) | node18(s209, s210))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17089,plain,
% 16.65/11.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s209, s210)) | node18(s209, s210)),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17088, 17087])).
% 16.65/11.45 tff(17090,plain,
% 16.65/11.45 (node18(s209, s210)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17089, 125, 17006])).
% 16.65/11.45 tff(17091,plain,
% 16.65/11.45 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17092,plain,
% 16.65/11.45 (((~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))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17093,plain,
% 16.65/11.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 16.65/11.45 inference(monotonicity,[status(thm)],[17092])).
% 16.65/11.45 tff(17094,plain,
% 16.65/11.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.65/11.45 inference(transitivity,[status(thm)],[17093, 17091])).
% 16.65/11.45 tff(17095,plain,
% 16.65/11.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17096,plain,
% 16.65/11.45 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17095, 17094])).
% 16.65/11.45 tff(17097,plain,
% 16.65/11.45 (node15(s209) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17096, 992, 17090])).
% 16.65/11.45 tff(17098,plain,
% 16.65/11.45 (m_main_v_turn(s210, c_1)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17097, 17086, 16923, 16991])).
% 16.65/11.45 tff(17099,plain,
% 16.65/11.45 (((~![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)))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17100,plain,
% 16.65/11.45 ((~![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)))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17101,plain,
% 16.65/11.45 ((~![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))),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17100, 17099])).
% 16.65/11.45 tff(17102,plain,
% 16.65/11.45 (~m_main_v_turn(s210, c_2)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17101, 156, 17098])).
% 16.65/11.45 tff(17103,plain,
% 16.65/11.45 (((~![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)))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17104,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s210, c_2) | (~node12(s210)))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17105,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s210, c_2) | (~node12(s210))),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17104, 17103])).
% 16.65/11.45 tff(17106,plain,
% 16.65/11.45 (~node12(s210)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17105, 184, 17102])).
% 16.65/11.45 tff(17107,plain,
% 16.65/11.45 (((~![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)))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17108,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s210, c_n2) | (~node8(s210)))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17109,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s210, c_n2) | (~node8(s210))),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17108, 17107])).
% 16.65/11.45 tff(17110,plain,
% 16.65/11.45 (~node8(s210)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17109, 271, 17039])).
% 16.65/11.45 tff(17111,plain,
% 16.65/11.45 (((~![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)))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17112,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s210, c_n2) | (~node9(s210)))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17113,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s210, c_n2) | (~node9(s210))),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17112, 17111])).
% 16.65/11.45 tff(17114,plain,
% 16.65/11.45 (~node9(s210)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17113, 88, 17039])).
% 16.65/11.45 tff(17115,plain,
% 16.65/11.45 (((~![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)))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17116,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s210, c_n2) | (~node10(s210)))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17117,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s210, c_n2) | (~node10(s210))),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17116, 17115])).
% 16.65/11.45 tff(17118,plain,
% 16.65/11.45 (~node10(s210)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17117, 249, 17039])).
% 16.65/11.45 tff(17119,plain,
% 16.65/11.45 (((~![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)))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17120,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s210, c_n1) | (~node11(s210)))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17121,plain,
% 16.65/11.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s210, c_n1) | (~node11(s210))),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 16.65/11.45 tff(17122,plain,
% 16.65/11.45 (~node11(s210)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17121, 238, 17059])).
% 16.65/11.45 tff(17123,plain,
% 16.65/11.45 (((~![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))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17124,plain,
% 16.65/11.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s210, s211)) | node14(s210, s211))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17125,plain,
% 16.65/11.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s210, s211)) | node14(s210, s211)),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17124, 17123])).
% 16.65/11.45 tff(17126,plain,
% 16.65/11.45 (node14(s210, s211)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17125, 46, 17070])).
% 16.65/11.45 tff(17127,plain,
% 16.65/11.45 (((~![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(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)))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17128,plain,
% 16.65/11.45 ((~![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(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211) | (~node14(s210, s211)))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17129,plain,
% 16.65/11.45 ((~![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(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211) | (~node14(s210, s211))),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 16.65/11.45 tff(17130,plain,
% 16.65/11.45 (m_main_v_state2(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17129, 296, 17126])).
% 16.65/11.45 tff(17131,plain,
% 16.65/11.45 (node13(s210, s211)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17130, 17122, 17047, 17118, 17114, 17110, 17106])).
% 16.65/11.45 tff(17132,plain,
% 16.65/11.45 (((~![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(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)))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17133,plain,
% 16.65/11.45 (((~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)))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17134,plain,
% 16.65/11.45 (((~![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))))),
% 16.65/11.45 inference(monotonicity,[status(thm)],[17133])).
% 16.65/11.45 tff(17135,plain,
% 16.65/11.45 (((~![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)))),
% 16.65/11.45 inference(transitivity,[status(thm)],[17134, 17132])).
% 16.65/11.45 tff(17136,plain,
% 16.65/11.45 ((~![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))),
% 16.65/11.45 inference(quant_inst,[status(thm)],[])).
% 16.65/11.45 tff(17137,plain,
% 16.65/11.45 ((~![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(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211))),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17136, 17135])).
% 16.65/11.45 tff(17138,plain,
% 16.65/11.45 (m_main_v_state2(s211, c_t2)),
% 16.65/11.45 inference(unit_resolution,[status(thm)],[17137, 518, 17035, 17131])).
% 16.65/11.45 tff(17139,plain,
% 16.65/11.45 (succ(s211, s212) <=> succ(s211, s212)),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17140,axiom,(succ(s211, s212)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound212')).
% 16.65/11.45 tff(17141,plain,
% 16.65/11.45 (succ(s211, s212)),
% 16.65/11.45 inference(modus_ponens,[status(thm)],[17140, 17139])).
% 16.65/11.45 tff(17142,plain,
% 16.65/11.45 (((~![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))),
% 16.65/11.45 inference(rewrite,[status(thm)],[])).
% 16.65/11.45 tff(17143,plain,
% 16.65/11.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17144,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212)),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17143, 17142])).
% 16.65/11.46 tff(17145,plain,
% 16.65/11.46 (trans(s211, s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17144, 17141, 32])).
% 16.65/11.46 tff(17146,plain,
% 16.65/11.46 (((~![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))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17147,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s211, s212)) | node7(s211, s212))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17148,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s211, s212)) | node7(s211, s212)),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17147, 17146])).
% 16.65/11.46 tff(17149,plain,
% 16.65/11.46 (node7(s211, s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17148, 206, 17145])).
% 16.65/11.46 tff(17150,plain,
% 16.65/11.46 (((~![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(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))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17151,plain,
% 16.65/11.46 ((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node7(s211, s212)) | m_main_v_state1(s212, c_t1))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17152,plain,
% 16.65/11.46 ((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node7(s211, s212)) | m_main_v_state1(s212, c_t1)),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17151, 17150])).
% 16.65/11.46 tff(17153,plain,
% 16.65/11.46 ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | m_main_v_state1(s212, c_t1)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17152, 651, 17149])).
% 16.65/11.46 tff(17154,plain,
% 16.65/11.46 (m_main_v_state1(s212, c_t1)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17153, 17138, 17082])).
% 16.65/11.46 tff(17155,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17156,plain,
% 16.65/11.46 ((~![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)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17157,plain,
% 16.65/11.46 ((~![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))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17156, 17155])).
% 16.65/11.46 tff(17158,plain,
% 16.65/11.46 (~m_main_v_state1(s212, c_n1)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17157, 10, 17154])).
% 16.65/11.46 tff(17159,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17160,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s212, c_n1) | (~node1(s212)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17161,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s212, c_n1) | (~node1(s212))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 16.65/11.46 tff(17162,plain,
% 16.65/11.46 (~node1(s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17161, 421, 17158])).
% 16.65/11.46 tff(17163,plain,
% 16.65/11.46 (((~![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))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17164,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s211, s212)) | node18(s211, s212))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17165,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s211, s212)) | node18(s211, s212)),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17164, 17163])).
% 16.65/11.46 tff(17166,plain,
% 16.65/11.46 (node18(s211, s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17165, 125, 17145])).
% 16.65/11.46 tff(17167,plain,
% 16.65/11.46 (((~![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(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))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17168,plain,
% 16.65/11.46 ((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node18(s211, s212)) | m_main_v_turn(s212, c_2))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17169,plain,
% 16.65/11.46 ((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node18(s211, s212)) | m_main_v_turn(s212, c_2)),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17168, 17167])).
% 16.65/11.46 tff(17170,plain,
% 16.65/11.46 ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | m_main_v_turn(s212, c_2)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17169, 760, 17166])).
% 16.65/11.46 tff(17171,plain,
% 16.65/11.46 (m_main_v_turn(s212, c_2)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17170, 17138, 17082])).
% 16.65/11.46 tff(17172,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17173,plain,
% 16.65/11.46 ((~![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)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17174,plain,
% 16.65/11.46 ((~![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))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17173, 17172])).
% 16.65/11.46 tff(17175,plain,
% 16.65/11.46 (~m_main_v_turn(s212, c_1)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17174, 156, 17171])).
% 16.65/11.46 tff(17176,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17177,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s212, c_1) | (~node5(s212)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17178,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s212, c_1) | (~node5(s212))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17177, 17176])).
% 16.65/11.46 tff(17179,plain,
% 16.65/11.46 (~node5(s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17178, 776, 17175])).
% 16.65/11.46 tff(17180,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17181,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s212, c_n1) | (~node2(s212)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17182,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s212, c_n1) | (~node2(s212))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17181, 17180])).
% 16.65/11.46 tff(17183,plain,
% 16.65/11.46 (~node2(s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17182, 787, 17158])).
% 16.65/11.46 tff(17184,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17185,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s212, c_n1) | (~node3(s212)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17186,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s212, c_n1) | (~node3(s212))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17185, 17184])).
% 16.65/11.46 tff(17187,plain,
% 16.65/11.46 (~node3(s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17186, 798, 17158])).
% 16.65/11.46 tff(17188,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17189,plain,
% 16.65/11.46 ((~![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)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17190,plain,
% 16.65/11.46 ((~![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))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17189, 17188])).
% 16.65/11.46 tff(17191,plain,
% 16.65/11.46 (~m_main_v_state1(s212, c_c1)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17190, 539, 17154])).
% 16.65/11.46 tff(17192,plain,
% 16.65/11.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17193,plain,
% 16.65/11.46 (((~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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17194,plain,
% 16.65/11.46 (((~![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))))),
% 16.65/11.46 inference(monotonicity,[status(thm)],[17193])).
% 16.65/11.46 tff(17195,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(transitivity,[status(thm)],[17194, 17192])).
% 16.65/11.46 tff(17196,plain,
% 16.65/11.46 ((~![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)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17197,plain,
% 16.65/11.46 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17196, 17195])).
% 16.65/11.46 tff(17198,plain,
% 16.65/11.46 (~m_main_v_state2(s211, c_n2)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17197, 311, 17039, 17131])).
% 16.65/11.46 tff(17199,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17200,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s211, c_n2) | (~node9(s211)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17201,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s211, c_n2) | (~node9(s211))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17200, 17199])).
% 16.65/11.46 tff(17202,plain,
% 16.65/11.46 (~node9(s211)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17201, 88, 17198])).
% 16.65/11.46 tff(17203,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17204,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s211, c_n2) | (~node10(s211)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17205,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s211, c_n2) | (~node10(s211))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 16.65/11.46 tff(17206,plain,
% 16.65/11.46 (~node10(s211)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17205, 249, 17198])).
% 16.65/11.46 tff(17207,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17208,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s211, c_n2) | (~node8(s211)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17209,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s211, c_n2) | (~node8(s211))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17208, 17207])).
% 16.65/11.46 tff(17210,plain,
% 16.65/11.46 (~node8(s211)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17209, 271, 17198])).
% 16.65/11.46 tff(17211,plain,
% 16.65/11.46 (((~![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))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17212,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s211, s212)) | node14(s211, s212))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17213,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s211, s212)) | node14(s211, s212)),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17212, 17211])).
% 16.65/11.46 tff(17214,plain,
% 16.65/11.46 (node14(s211, s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17213, 46, 17145])).
% 16.65/11.46 tff(17215,plain,
% 16.65/11.46 (((~![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(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))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17216,plain,
% 16.65/11.46 ((~![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(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))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17217,plain,
% 16.65/11.46 ((~![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(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)),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17216, 17215])).
% 16.65/11.46 tff(17218,plain,
% 16.65/11.46 ((~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)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17217, 617, 17214])).
% 16.65/11.46 tff(17219,plain,
% 16.65/11.46 (m_main_v_state2(s212, c_c2)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17218, 17210, 17082, 17138, 17206, 17202])).
% 16.65/11.46 tff(17220,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17221,plain,
% 16.65/11.46 ((~![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)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17222,plain,
% 16.65/11.46 ((~![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))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17221, 17220])).
% 16.65/11.46 tff(17223,plain,
% 16.65/11.46 (~m_main_v_state2(s212, c_n2)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17222, 697, 17219])).
% 16.65/11.46 tff(17224,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17225,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s212, c_n2) | (~node4(s212)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17226,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s212, c_n2) | (~node4(s212))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17225, 17224])).
% 16.65/11.46 tff(17227,plain,
% 16.65/11.46 (~node4(s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17226, 388, 17223])).
% 16.65/11.46 tff(17228,plain,
% 16.65/11.46 (succ(s212, s213) <=> succ(s212, s213)),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17229,axiom,(succ(s212, s213)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound213')).
% 16.65/11.46 tff(17230,plain,
% 16.65/11.46 (succ(s212, s213)),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17229, 17228])).
% 16.65/11.46 tff(17231,plain,
% 16.65/11.46 (((~![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))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17232,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17233,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213)),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17232, 17231])).
% 16.65/11.46 tff(17234,plain,
% 16.65/11.46 (trans(s212, s213)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17233, 17230, 32])).
% 16.65/11.46 tff(17235,plain,
% 16.65/11.46 (((~![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))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17236,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s212, s213)) | node7(s212, s213))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17237,plain,
% 16.65/11.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s212, s213)) | node7(s212, s213)),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17236, 17235])).
% 16.65/11.46 tff(17238,plain,
% 16.65/11.46 (node7(s212, s213)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17237, 206, 17234])).
% 16.65/11.46 tff(17239,plain,
% 16.65/11.46 (((~![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(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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17240,plain,
% 16.65/11.46 ((~![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(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213) | (~node7(s212, s213)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17241,plain,
% 16.65/11.46 ((~![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(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213) | (~node7(s212, s213))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 16.65/11.46 tff(17242,plain,
% 16.65/11.46 (m_main_v_state1(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17241, 820, 17238])).
% 16.65/11.46 tff(17243,plain,
% 16.65/11.46 (node6(s212, s213)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17242, 17227, 17191, 17187, 17183, 17179, 17162])).
% 16.65/11.46 tff(17244,plain,
% 16.65/11.46 (((~![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(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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17245,plain,
% 16.65/11.46 (((~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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17246,plain,
% 16.65/11.46 (((~![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))))),
% 16.65/11.46 inference(monotonicity,[status(thm)],[17245])).
% 16.65/11.46 tff(17247,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(transitivity,[status(thm)],[17246, 17244])).
% 16.65/11.46 tff(17248,plain,
% 16.65/11.46 ((~![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))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17249,plain,
% 16.65/11.46 ((~![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(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17248, 17247])).
% 16.65/11.46 tff(17250,plain,
% 16.65/11.46 (m_main_v_state1(s213, c_t1)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17249, 856, 17154, 17243])).
% 16.65/11.46 tff(17251,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17252,plain,
% 16.65/11.46 ((~![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)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17253,plain,
% 16.65/11.46 ((~![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))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17252, 17251])).
% 16.65/11.46 tff(17254,plain,
% 16.65/11.46 (~m_main_v_state2(s212, c_t2)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17253, 260, 17219])).
% 16.65/11.46 tff(17255,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17256,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s212, c_t2) | (~node12(s212)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17257,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s212, c_t2) | (~node12(s212))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17256, 17255])).
% 16.65/11.46 tff(17258,plain,
% 16.65/11.46 (~node12(s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17257, 633, 17254])).
% 16.65/11.46 tff(17259,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17260,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s212, c_n1) | (~node11(s212)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17261,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s212, c_n1) | (~node11(s212))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17260, 17259])).
% 16.65/11.46 tff(17262,plain,
% 16.65/11.46 (~node11(s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17261, 238, 17158])).
% 16.65/11.46 tff(17263,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17264,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s212, c_c1) | (~node10(s212)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17265,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s212, c_c1) | (~node10(s212))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17264, 17263])).
% 16.65/11.46 tff(17266,plain,
% 16.65/11.46 (~node10(s212)),
% 16.65/11.46 inference(unit_resolution,[status(thm)],[17265, 675, 17191])).
% 16.65/11.46 tff(17267,plain,
% 16.65/11.46 (((~![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)))),
% 16.65/11.46 inference(rewrite,[status(thm)],[])).
% 16.65/11.46 tff(17268,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s212, c_n1) | (~node9(s212)))),
% 16.65/11.46 inference(quant_inst,[status(thm)],[])).
% 16.65/11.46 tff(17269,plain,
% 16.65/11.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s212, c_n1) | (~node9(s212))),
% 16.65/11.46 inference(modus_ponens,[status(thm)],[17268, 17267])).
% 16.65/11.47 tff(17270,plain,
% 16.65/11.47 (~node9(s212)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17269, 686, 17158])).
% 16.65/11.47 tff(17271,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17272,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s212, c_n2) | (~node8(s212)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17273,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s212, c_n2) | (~node8(s212))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17272, 17271])).
% 16.65/11.47 tff(17274,plain,
% 16.65/11.47 (~node8(s212)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17273, 271, 17223])).
% 16.65/11.47 tff(17275,plain,
% 16.65/11.47 (((~![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))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17276,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s212, s213)) | node14(s212, s213))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17277,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s212, s213)) | node14(s212, s213)),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 16.65/11.47 tff(17278,plain,
% 16.65/11.47 (node14(s212, s213)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17277, 46, 17234])).
% 16.65/11.47 tff(17279,plain,
% 16.65/11.47 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17280,plain,
% 16.65/11.47 (((~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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17281,plain,
% 16.65/11.47 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 16.65/11.47 inference(monotonicity,[status(thm)],[17280])).
% 16.65/11.47 tff(17282,plain,
% 16.65/11.47 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.65/11.47 inference(transitivity,[status(thm)],[17281, 17279])).
% 16.65/11.47 tff(17283,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17284,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17283, 17282])).
% 16.65/11.47 tff(17285,plain,
% 16.65/11.47 (m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~m_main_v_state2(s212, c_c2))),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17284, 726, 17278])).
% 16.65/11.47 tff(17286,plain,
% 16.65/11.47 (m_main_v_state2(s213, c_n2)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17285, 17274, 17219, 17270, 17266, 17262, 17258])).
% 16.65/11.47 tff(17287,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17288,plain,
% 16.65/11.47 ((~![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)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17289,plain,
% 16.65/11.47 ((~![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))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17288, 17287])).
% 16.65/11.47 tff(17290,plain,
% 16.65/11.47 (~m_main_v_state2(s213, c_t2)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17289, 77, 17286])).
% 16.65/11.47 tff(17291,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17292,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s213, c_t2) | (~node15(s213)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17293,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s213, c_t2) | (~node15(s213))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17292, 17291])).
% 16.65/11.47 tff(17294,plain,
% 16.65/11.47 (~node15(s213)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17293, 103, 17290])).
% 16.65/11.47 tff(17295,plain,
% 16.65/11.47 (succ(s213, s214) <=> succ(s213, s214)),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17296,axiom,(succ(s213, s214)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound214')).
% 16.65/11.47 tff(17297,plain,
% 16.65/11.47 (succ(s213, s214)),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17296, 17295])).
% 16.65/11.47 tff(17298,plain,
% 16.65/11.47 (((~![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))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17299,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17300,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214)),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17299, 17298])).
% 16.65/11.47 tff(17301,plain,
% 16.65/11.47 (trans(s213, s214)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17300, 17297, 32])).
% 16.65/11.47 tff(17302,plain,
% 16.65/11.47 (((~![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))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17303,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s213, s214)) | node18(s213, s214))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17304,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s213, s214)) | node18(s213, s214)),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17303, 17302])).
% 16.65/11.47 tff(17305,plain,
% 16.65/11.47 (node18(s213, s214)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17304, 125, 17301])).
% 16.65/11.47 tff(17306,plain,
% 16.65/11.47 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17307,plain,
% 16.65/11.47 (((~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))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17308,plain,
% 16.65/11.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 16.65/11.47 inference(monotonicity,[status(thm)],[17307])).
% 16.65/11.47 tff(17309,plain,
% 16.65/11.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.65/11.47 inference(transitivity,[status(thm)],[17308, 17306])).
% 16.65/11.47 tff(17310,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17311,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17310, 17309])).
% 16.65/11.47 tff(17312,plain,
% 16.65/11.47 (node15(s213) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17311, 992, 17305])).
% 16.65/11.47 tff(17313,plain,
% 16.65/11.47 (m_main_v_turn(s214, c_1)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17312, 17294, 17286, 17250])).
% 16.65/11.47 tff(17314,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17315,plain,
% 16.65/11.47 ((~![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)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17316,plain,
% 16.65/11.47 ((~![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))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17315, 17314])).
% 16.65/11.47 tff(17317,plain,
% 16.65/11.47 (~m_main_v_turn(s214, c_2)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17316, 156, 17313])).
% 16.65/11.47 tff(17318,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17319,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s214, c_2) | (~node12(s214)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17320,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s214, c_2) | (~node12(s214))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17319, 17318])).
% 16.65/11.47 tff(17321,plain,
% 16.65/11.47 (~node12(s214)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17320, 184, 17317])).
% 16.65/11.47 tff(17322,plain,
% 16.65/11.47 (((~![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))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17323,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s213, s214)) | node14(s213, s214))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17324,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s213, s214)) | node14(s213, s214)),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17323, 17322])).
% 16.65/11.47 tff(17325,plain,
% 16.65/11.47 (node14(s213, s214)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17324, 46, 17301])).
% 16.65/11.47 tff(17326,plain,
% 16.65/11.47 (((~![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(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))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17327,plain,
% 16.65/11.47 ((~![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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | (~node14(s213, s214)) | m_main_v_state2(s214, c_t2))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17328,plain,
% 16.65/11.47 ((~![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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | (~node14(s213, s214)) | m_main_v_state2(s214, c_t2)),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17327, 17326])).
% 16.65/11.47 tff(17329,plain,
% 16.65/11.47 ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state2(s214, c_t2)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17328, 922, 17325])).
% 16.65/11.47 tff(17330,plain,
% 16.65/11.47 (m_main_v_state2(s214, c_t2)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17329, 17250, 17286])).
% 16.65/11.47 tff(17331,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17332,plain,
% 16.65/11.47 ((~![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)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17333,plain,
% 16.65/11.47 ((~![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))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17332, 17331])).
% 16.65/11.47 tff(17334,plain,
% 16.65/11.47 (~m_main_v_state2(s214, c_n2)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17333, 77, 17330])).
% 16.65/11.47 tff(17335,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17336,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s214, c_n2) | (~node8(s214)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17337,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s214, c_n2) | (~node8(s214))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17336, 17335])).
% 16.65/11.47 tff(17338,plain,
% 16.65/11.47 (~node8(s214)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17337, 271, 17334])).
% 16.65/11.47 tff(17339,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17340,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s214, c_n2) | (~node9(s214)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17341,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s214, c_n2) | (~node9(s214))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17340, 17339])).
% 16.65/11.47 tff(17342,plain,
% 16.65/11.47 (~node9(s214)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17341, 88, 17334])).
% 16.65/11.47 tff(17343,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17344,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s214, c_n2) | (~node10(s214)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17345,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s214, c_n2) | (~node10(s214))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17344, 17343])).
% 16.65/11.47 tff(17346,plain,
% 16.65/11.47 (~node10(s214)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17345, 249, 17334])).
% 16.65/11.47 tff(17347,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17348,plain,
% 16.65/11.47 ((~![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)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17349,plain,
% 16.65/11.47 ((~![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))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17348, 17347])).
% 16.65/11.47 tff(17350,plain,
% 16.65/11.47 (~m_main_v_state2(s214, c_c2)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17349, 260, 17330])).
% 16.65/11.47 tff(17351,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17352,plain,
% 16.65/11.47 ((~![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)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17353,plain,
% 16.65/11.47 ((~![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))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17352, 17351])).
% 16.65/11.47 tff(17354,plain,
% 16.65/11.47 (~m_main_v_state2(s213, c_c2)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17353, 697, 17286])).
% 16.65/11.47 tff(17355,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17356,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s213, c_c2) | (~node3(s213)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17357,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s213, c_c2) | (~node3(s213))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17356, 17355])).
% 16.65/11.47 tff(17358,plain,
% 16.65/11.47 (~node3(s213)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17357, 399, 17354])).
% 16.65/11.47 tff(17359,plain,
% 16.65/11.47 (((~![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(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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17360,plain,
% 16.65/11.47 (((~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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17361,plain,
% 16.65/11.47 (((~![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))))),
% 16.65/11.47 inference(monotonicity,[status(thm)],[17360])).
% 16.65/11.47 tff(17362,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(transitivity,[status(thm)],[17361, 17359])).
% 16.65/11.47 tff(17363,plain,
% 16.65/11.47 ((~![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)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17364,plain,
% 16.65/11.47 ((~![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(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17363, 17362])).
% 16.65/11.47 tff(17365,plain,
% 16.65/11.47 (~m_main_v_state1(s213, c_n1)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17364, 835, 17158, 17243])).
% 16.65/11.47 tff(17366,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17367,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s213, c_n1) | (~node2(s213)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17368,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s213, c_n1) | (~node2(s213))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17367, 17366])).
% 16.65/11.47 tff(17369,plain,
% 16.65/11.47 (~node2(s213)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17368, 787, 17365])).
% 16.65/11.47 tff(17370,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17371,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s213, c_t2) | (~node1(s213)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17372,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s213, c_t2) | (~node1(s213))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17371, 17370])).
% 16.65/11.47 tff(17373,plain,
% 16.65/11.47 (~node1(s213)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17372, 195, 17290])).
% 16.65/11.47 tff(17374,plain,
% 16.65/11.47 (((~![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))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17375,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s213, s214)) | node7(s213, s214))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17376,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s213, s214)) | node7(s213, s214)),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17375, 17374])).
% 16.65/11.47 tff(17377,plain,
% 16.65/11.47 (node7(s213, s214)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17376, 206, 17301])).
% 16.65/11.47 tff(17378,plain,
% 16.65/11.47 (((~![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(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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17379,plain,
% 16.65/11.47 (((~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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17380,plain,
% 16.65/11.47 (((~![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(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))))),
% 16.65/11.47 inference(monotonicity,[status(thm)],[17379])).
% 16.65/11.47 tff(17381,plain,
% 16.65/11.47 (((~![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(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)))),
% 16.65/11.47 inference(transitivity,[status(thm)],[17380, 17378])).
% 16.65/11.47 tff(17382,plain,
% 16.65/11.47 ((~![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(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))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17383,plain,
% 16.65/11.47 ((~![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(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))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17382, 17381])).
% 16.65/11.47 tff(17384,plain,
% 16.65/11.47 ((~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)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17383, 892, 17377])).
% 16.65/11.47 tff(17385,plain,
% 16.65/11.47 (m_main_v_state1(s214, c_c1)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17384, 17373, 17286, 17250, 17369, 17358])).
% 16.65/11.47 tff(17386,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17387,plain,
% 16.65/11.47 ((~![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)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17388,plain,
% 16.65/11.47 ((~![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))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17387, 17386])).
% 16.65/11.47 tff(17389,plain,
% 16.65/11.47 (~m_main_v_state1(s214, c_n1)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17388, 454, 17385])).
% 16.65/11.47 tff(17390,plain,
% 16.65/11.47 (((~![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)))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17391,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s214, c_n1) | (~node11(s214)))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17392,plain,
% 16.65/11.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s214, c_n1) | (~node11(s214))),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17391, 17390])).
% 16.65/11.47 tff(17393,plain,
% 16.65/11.47 (~node11(s214)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17392, 238, 17389])).
% 16.65/11.47 tff(17394,plain,
% 16.65/11.47 (succ(s214, s215) <=> succ(s214, s215)),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17395,axiom,(succ(s214, s215)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound215')).
% 16.65/11.47 tff(17396,plain,
% 16.65/11.47 (succ(s214, s215)),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17395, 17394])).
% 16.65/11.47 tff(17397,plain,
% 16.65/11.47 (((~![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))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17398,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17399,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215)),
% 16.65/11.47 inference(modus_ponens,[status(thm)],[17398, 17397])).
% 16.65/11.47 tff(17400,plain,
% 16.65/11.47 (trans(s214, s215)),
% 16.65/11.47 inference(unit_resolution,[status(thm)],[17399, 17396, 32])).
% 16.65/11.47 tff(17401,plain,
% 16.65/11.47 (((~![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))),
% 16.65/11.47 inference(rewrite,[status(thm)],[])).
% 16.65/11.47 tff(17402,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s214, s215)) | node14(s214, s215))),
% 16.65/11.47 inference(quant_inst,[status(thm)],[])).
% 16.65/11.47 tff(17403,plain,
% 16.65/11.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s214, s215)) | node14(s214, s215)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17402, 17401])).
% 16.65/11.48 tff(17404,plain,
% 16.65/11.48 (node14(s214, s215)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17403, 46, 17400])).
% 16.65/11.48 tff(17405,plain,
% 16.65/11.48 (((~![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(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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17406,plain,
% 16.65/11.48 ((~![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(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215) | (~node14(s214, s215)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17407,plain,
% 16.65/11.48 ((~![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(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215) | (~node14(s214, s215))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17406, 17405])).
% 16.65/11.48 tff(17408,plain,
% 16.65/11.48 (m_main_v_state2(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17407, 296, 17404])).
% 16.65/11.48 tff(17409,plain,
% 16.65/11.48 (node13(s214, s215)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17408, 17393, 17350, 17346, 17342, 17338, 17321])).
% 16.65/11.48 tff(17410,plain,
% 16.65/11.48 (((~![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(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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17411,plain,
% 16.65/11.48 (((~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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17412,plain,
% 16.65/11.48 (((~![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))))),
% 16.65/11.48 inference(monotonicity,[status(thm)],[17411])).
% 16.65/11.48 tff(17413,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(transitivity,[status(thm)],[17412, 17410])).
% 16.65/11.48 tff(17414,plain,
% 16.65/11.48 ((~![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)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17415,plain,
% 16.65/11.48 ((~![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(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17414, 17413])).
% 16.65/11.48 tff(17416,plain,
% 16.65/11.48 (~m_main_v_state2(s215, c_n2)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17415, 311, 17334, 17409])).
% 16.65/11.48 tff(17417,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17418,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s215, c_n2) | (~node9(s215)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17419,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s215, c_n2) | (~node9(s215))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17418, 17417])).
% 16.65/11.48 tff(17420,plain,
% 16.65/11.48 (~node9(s215)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17419, 88, 17416])).
% 16.65/11.48 tff(17421,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17422,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s215, c_n2) | (~node10(s215)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17423,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s215, c_n2) | (~node10(s215))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17422, 17421])).
% 16.65/11.48 tff(17424,plain,
% 16.65/11.48 (~node10(s215)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17423, 249, 17416])).
% 16.65/11.48 tff(17425,plain,
% 16.65/11.48 (((~![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(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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17426,plain,
% 16.65/11.48 (((~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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17427,plain,
% 16.65/11.48 (((~![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))))),
% 16.65/11.48 inference(monotonicity,[status(thm)],[17426])).
% 16.65/11.48 tff(17428,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(transitivity,[status(thm)],[17427, 17425])).
% 16.65/11.48 tff(17429,plain,
% 16.65/11.48 ((~![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))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17430,plain,
% 16.65/11.48 ((~![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(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 16.65/11.48 tff(17431,plain,
% 16.65/11.48 (m_main_v_state2(s215, c_t2)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17430, 518, 17330, 17409])).
% 16.65/11.48 tff(17432,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17433,plain,
% 16.65/11.48 ((~![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)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17434,plain,
% 16.65/11.48 ((~![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))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17433, 17432])).
% 16.65/11.48 tff(17435,plain,
% 16.65/11.48 (~m_main_v_state1(s214, c_t1)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17434, 539, 17385])).
% 16.65/11.48 tff(17436,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17437,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s214, c_t1) | (~node5(s214)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17438,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s214, c_t1) | (~node5(s214))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17437, 17436])).
% 16.65/11.48 tff(17439,plain,
% 16.65/11.48 (~node5(s214)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17438, 550, 17435])).
% 16.65/11.48 tff(17440,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17441,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s214, c_n2) | (~node4(s214)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17442,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s214, c_n2) | (~node4(s214))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17441, 17440])).
% 16.65/11.48 tff(17443,plain,
% 16.65/11.48 (~node4(s214)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17442, 388, 17334])).
% 16.65/11.48 tff(17444,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17445,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s214, c_c2) | (~node3(s214)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17446,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s214, c_c2) | (~node3(s214))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17445, 17444])).
% 16.65/11.48 tff(17447,plain,
% 16.65/11.48 (~node3(s214)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17446, 399, 17350])).
% 16.65/11.48 tff(17448,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17449,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s214, c_n2) | (~node2(s214)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17450,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s214, c_n2) | (~node2(s214))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17449, 17448])).
% 16.65/11.48 tff(17451,plain,
% 16.65/11.48 (~node2(s214)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17450, 410, 17334])).
% 16.65/11.48 tff(17452,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17453,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s214, c_n1) | (~node1(s214)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17454,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s214, c_n1) | (~node1(s214))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17453, 17452])).
% 16.65/11.48 tff(17455,plain,
% 16.65/11.48 (~node1(s214)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17454, 421, 17389])).
% 16.65/11.48 tff(17456,plain,
% 16.65/11.48 (((~![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))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17457,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s214, s215)) | node7(s214, s215))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17458,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s214, s215)) | node7(s214, s215)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17457, 17456])).
% 16.65/11.48 tff(17459,plain,
% 16.65/11.48 (node7(s214, s215)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17458, 206, 17400])).
% 16.65/11.48 tff(17460,plain,
% 16.65/11.48 (((~![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(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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17461,plain,
% 16.65/11.48 (((~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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17462,plain,
% 16.65/11.48 (((~![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(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))))),
% 16.65/11.48 inference(monotonicity,[status(thm)],[17461])).
% 16.65/11.48 tff(17463,plain,
% 16.65/11.48 (((~![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(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)))),
% 16.65/11.48 inference(transitivity,[status(thm)],[17462, 17460])).
% 16.65/11.48 tff(17464,plain,
% 16.65/11.48 ((~![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(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)) | m_main_v_state1(s215, c_n1))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17465,plain,
% 16.65/11.48 ((~![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(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17464, 17463])).
% 16.65/11.48 tff(17466,plain,
% 16.65/11.48 (m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17465, 584, 17459])).
% 16.65/11.48 tff(17467,plain,
% 16.65/11.48 (m_main_v_state1(s215, c_n1)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17466, 17455, 17385, 17451, 17447, 17443, 17439])).
% 16.65/11.48 tff(17468,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17469,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s215, c_n2) | (~node8(s215)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17470,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s215, c_n2) | (~node8(s215))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17469, 17468])).
% 16.65/11.48 tff(17471,plain,
% 16.65/11.48 (~node8(s215)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17470, 271, 17416])).
% 16.65/11.48 tff(17472,plain,
% 16.65/11.48 (succ(s215, s216) <=> succ(s215, s216)),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17473,axiom,(succ(s215, s216)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound216')).
% 16.65/11.48 tff(17474,plain,
% 16.65/11.48 (succ(s215, s216)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17473, 17472])).
% 16.65/11.48 tff(17475,plain,
% 16.65/11.48 (((~![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))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17476,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17477,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17476, 17475])).
% 16.65/11.48 tff(17478,plain,
% 16.65/11.48 (trans(s215, s216)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17477, 17474, 32])).
% 16.65/11.48 tff(17479,plain,
% 16.65/11.48 (((~![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))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17480,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s215, s216)) | node14(s215, s216))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17481,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s215, s216)) | node14(s215, s216)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17480, 17479])).
% 16.65/11.48 tff(17482,plain,
% 16.65/11.48 (node14(s215, s216)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17481, 46, 17478])).
% 16.65/11.48 tff(17483,plain,
% 16.65/11.48 (((~![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(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))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17484,plain,
% 16.65/11.48 ((~![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(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))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17485,plain,
% 16.65/11.48 ((~![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(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)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17484, 17483])).
% 16.65/11.48 tff(17486,plain,
% 16.65/11.48 ((~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)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17485, 617, 17482])).
% 16.65/11.48 tff(17487,plain,
% 16.65/11.48 (m_main_v_state2(s216, c_c2)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17486, 17471, 17467, 17431, 17424, 17420])).
% 16.65/11.48 tff(17488,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17489,plain,
% 16.65/11.48 ((~![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)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17490,plain,
% 16.65/11.48 ((~![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))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17489, 17488])).
% 16.65/11.48 tff(17491,plain,
% 16.65/11.48 (~m_main_v_state2(s216, c_t2)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17490, 260, 17487])).
% 16.65/11.48 tff(17492,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17493,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s216, c_t2) | (~node12(s216)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17494,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s216, c_t2) | (~node12(s216))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17493, 17492])).
% 16.65/11.48 tff(17495,plain,
% 16.65/11.48 (~node12(s216)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17494, 633, 17491])).
% 16.65/11.48 tff(17496,plain,
% 16.65/11.48 (((~![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))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17497,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s215, s216)) | node7(s215, s216))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17498,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s215, s216)) | node7(s215, s216)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17497, 17496])).
% 16.65/11.48 tff(17499,plain,
% 16.65/11.48 (node7(s215, s216)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17498, 206, 17478])).
% 16.65/11.48 tff(17500,plain,
% 16.65/11.48 (((~![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(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))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17501,plain,
% 16.65/11.48 ((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node7(s215, s216)) | m_main_v_state1(s216, c_t1))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17502,plain,
% 16.65/11.48 ((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node7(s215, s216)) | m_main_v_state1(s216, c_t1)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17501, 17500])).
% 16.65/11.48 tff(17503,plain,
% 16.65/11.48 ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | m_main_v_state1(s216, c_t1)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17502, 651, 17499])).
% 16.65/11.48 tff(17504,plain,
% 16.65/11.48 (m_main_v_state1(s216, c_t1)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17503, 17431, 17467])).
% 16.65/11.48 tff(17505,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17506,plain,
% 16.65/11.48 ((~![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)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17507,plain,
% 16.65/11.48 ((~![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))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17506, 17505])).
% 16.65/11.48 tff(17508,plain,
% 16.65/11.48 (~m_main_v_state1(s216, c_n1)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17507, 10, 17504])).
% 16.65/11.48 tff(17509,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17510,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s216, c_n1) | (~node11(s216)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17511,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s216, c_n1) | (~node11(s216))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17510, 17509])).
% 16.65/11.48 tff(17512,plain,
% 16.65/11.48 (~node11(s216)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17511, 238, 17508])).
% 16.65/11.48 tff(17513,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17514,plain,
% 16.65/11.48 ((~![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)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17515,plain,
% 16.65/11.48 ((~![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))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17514, 17513])).
% 16.65/11.48 tff(17516,plain,
% 16.65/11.48 (~m_main_v_state1(s216, c_c1)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17515, 539, 17504])).
% 16.65/11.48 tff(17517,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17518,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s216, c_c1) | (~node10(s216)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17519,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s216, c_c1) | (~node10(s216))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17518, 17517])).
% 16.65/11.48 tff(17520,plain,
% 16.65/11.48 (~node10(s216)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17519, 675, 17516])).
% 16.65/11.48 tff(17521,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17522,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s216, c_n1) | (~node9(s216)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17523,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s216, c_n1) | (~node9(s216))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17522, 17521])).
% 16.65/11.48 tff(17524,plain,
% 16.65/11.48 (~node9(s216)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17523, 686, 17508])).
% 16.65/11.48 tff(17525,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17526,plain,
% 16.65/11.48 ((~![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)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17527,plain,
% 16.65/11.48 ((~![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))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17526, 17525])).
% 16.65/11.48 tff(17528,plain,
% 16.65/11.48 (~m_main_v_state2(s216, c_n2)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17527, 697, 17487])).
% 16.65/11.48 tff(17529,plain,
% 16.65/11.48 (((~![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)))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17530,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s216, c_n2) | (~node8(s216)))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17531,plain,
% 16.65/11.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s216, c_n2) | (~node8(s216))),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17530, 17529])).
% 16.65/11.48 tff(17532,plain,
% 16.65/11.48 (~node8(s216)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17531, 271, 17528])).
% 16.65/11.48 tff(17533,plain,
% 16.65/11.48 (succ(s216, s217) <=> succ(s216, s217)),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17534,axiom,(succ(s216, s217)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound217')).
% 16.65/11.48 tff(17535,plain,
% 16.65/11.48 (succ(s216, s217)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17534, 17533])).
% 16.65/11.48 tff(17536,plain,
% 16.65/11.48 (((~![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))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17537,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17538,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17537, 17536])).
% 16.65/11.48 tff(17539,plain,
% 16.65/11.48 (trans(s216, s217)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17538, 17535, 32])).
% 16.65/11.48 tff(17540,plain,
% 16.65/11.48 (((~![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))),
% 16.65/11.48 inference(rewrite,[status(thm)],[])).
% 16.65/11.48 tff(17541,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s216, s217)) | node14(s216, s217))),
% 16.65/11.48 inference(quant_inst,[status(thm)],[])).
% 16.65/11.48 tff(17542,plain,
% 16.65/11.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s216, s217)) | node14(s216, s217)),
% 16.65/11.48 inference(modus_ponens,[status(thm)],[17541, 17540])).
% 16.65/11.48 tff(17543,plain,
% 16.65/11.48 (node14(s216, s217)),
% 16.65/11.48 inference(unit_resolution,[status(thm)],[17542, 46, 17539])).
% 16.65/11.48 tff(17544,plain,
% 16.65/11.48 (((~![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(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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17545,plain,
% 16.65/11.49 (((~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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17546,plain,
% 16.65/11.49 (((~![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(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))))),
% 16.65/11.49 inference(monotonicity,[status(thm)],[17545])).
% 16.65/11.49 tff(17547,plain,
% 16.65/11.49 (((~![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(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)))),
% 16.65/11.49 inference(transitivity,[status(thm)],[17546, 17544])).
% 16.65/11.49 tff(17548,plain,
% 16.65/11.49 ((~![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(s216, c_c2)) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | m_main_v_state2(s217, c_n2))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17549,plain,
% 16.65/11.49 ((~![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(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17548, 17547])).
% 16.65/11.49 tff(17550,plain,
% 16.65/11.49 (m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~m_main_v_state2(s216, c_c2))),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17549, 726, 17543])).
% 16.65/11.49 tff(17551,plain,
% 16.65/11.49 (m_main_v_state2(s217, c_n2)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17550, 17532, 17487, 17524, 17520, 17512, 17495])).
% 16.65/11.49 tff(17552,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17553,plain,
% 16.65/11.49 ((~![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)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17554,plain,
% 16.65/11.49 ((~![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))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17553, 17552])).
% 16.65/11.49 tff(17555,plain,
% 16.65/11.49 (~m_main_v_state2(s217, c_c2)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17554, 697, 17551])).
% 16.65/11.49 tff(17556,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17557,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s217, c_c2) | (~node3(s217)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17558,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s217, c_c2) | (~node3(s217))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17557, 17556])).
% 16.65/11.49 tff(17559,plain,
% 16.65/11.49 (~node3(s217)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17558, 399, 17555])).
% 16.65/11.49 tff(17560,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17561,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s216, c_n1) | (~node1(s216)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17562,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s216, c_n1) | (~node1(s216))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17561, 17560])).
% 16.65/11.49 tff(17563,plain,
% 16.65/11.49 (~node1(s216)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17562, 421, 17508])).
% 16.65/11.49 tff(17564,plain,
% 16.65/11.49 (((~![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))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17565,plain,
% 16.65/11.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s215, s216)) | node18(s215, s216))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17566,plain,
% 16.65/11.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s215, s216)) | node18(s215, s216)),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17565, 17564])).
% 16.65/11.49 tff(17567,plain,
% 16.65/11.49 (node18(s215, s216)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17566, 125, 17478])).
% 16.65/11.49 tff(17568,plain,
% 16.65/11.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17569,plain,
% 16.65/11.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17570,plain,
% 16.65/11.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17569, 17568])).
% 16.65/11.49 tff(17571,plain,
% 16.65/11.49 ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | m_main_v_turn(s216, c_2)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17570, 760, 17567])).
% 16.65/11.49 tff(17572,plain,
% 16.65/11.49 (m_main_v_turn(s216, c_2)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17571, 17431, 17467])).
% 16.65/11.49 tff(17573,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17574,plain,
% 16.65/11.49 ((~![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)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17575,plain,
% 16.65/11.49 ((~![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))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17574, 17573])).
% 16.65/11.49 tff(17576,plain,
% 16.65/11.49 (~m_main_v_turn(s216, c_1)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17575, 156, 17572])).
% 16.65/11.49 tff(17577,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17578,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s216, c_1) | (~node5(s216)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17579,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s216, c_1) | (~node5(s216))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17578, 17577])).
% 16.65/11.49 tff(17580,plain,
% 16.65/11.49 (~node5(s216)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17579, 776, 17576])).
% 16.65/11.49 tff(17581,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17582,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s216, c_n1) | (~node2(s216)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17583,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s216, c_n1) | (~node2(s216))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 16.65/11.49 tff(17584,plain,
% 16.65/11.49 (~node2(s216)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17583, 787, 17508])).
% 16.65/11.49 tff(17585,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17586,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s216, c_n1) | (~node3(s216)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17587,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s216, c_n1) | (~node3(s216))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17586, 17585])).
% 16.65/11.49 tff(17588,plain,
% 16.65/11.49 (~node3(s216)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17587, 798, 17508])).
% 16.65/11.49 tff(17589,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17590,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s216, c_n2) | (~node4(s216)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17591,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s216, c_n2) | (~node4(s216))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17590, 17589])).
% 16.65/11.49 tff(17592,plain,
% 16.65/11.49 (~node4(s216)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17591, 388, 17528])).
% 16.65/11.49 tff(17593,plain,
% 16.65/11.49 (((~![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))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17594,plain,
% 16.65/11.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s216, s217)) | node7(s216, s217))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17595,plain,
% 16.65/11.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s216, s217)) | node7(s216, s217)),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17594, 17593])).
% 16.65/11.49 tff(17596,plain,
% 16.65/11.49 (node7(s216, s217)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17595, 206, 17539])).
% 16.65/11.49 tff(17597,plain,
% 16.65/11.49 (((~![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(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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17598,plain,
% 16.65/11.49 ((~![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(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217) | (~node7(s216, s217)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17599,plain,
% 16.65/11.49 ((~![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(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217) | (~node7(s216, s217))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17598, 17597])).
% 16.65/11.49 tff(17600,plain,
% 16.65/11.49 (m_main_v_state1(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17599, 820, 17596])).
% 16.65/11.49 tff(17601,plain,
% 16.65/11.49 (node6(s216, s217)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17600, 17592, 17516, 17588, 17584, 17580, 17563])).
% 16.65/11.49 tff(17602,plain,
% 16.65/11.49 (((~![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(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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17603,plain,
% 16.65/11.49 (((~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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17604,plain,
% 16.65/11.49 (((~![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))))),
% 16.65/11.49 inference(monotonicity,[status(thm)],[17603])).
% 16.65/11.49 tff(17605,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(transitivity,[status(thm)],[17604, 17602])).
% 16.65/11.49 tff(17606,plain,
% 16.65/11.49 ((~![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)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17607,plain,
% 16.65/11.49 ((~![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(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17606, 17605])).
% 16.65/11.49 tff(17608,plain,
% 16.65/11.49 (~m_main_v_state1(s217, c_n1)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17607, 835, 17508, 17601])).
% 16.65/11.49 tff(17609,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17610,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s217, c_n1) | (~node2(s217)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17611,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s217, c_n1) | (~node2(s217))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17610, 17609])).
% 16.65/11.49 tff(17612,plain,
% 16.65/11.49 (~node2(s217)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17611, 787, 17608])).
% 16.65/11.49 tff(17613,plain,
% 16.65/11.49 (((~![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(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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17614,plain,
% 16.65/11.49 (((~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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17615,plain,
% 16.65/11.49 (((~![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))))),
% 16.65/11.49 inference(monotonicity,[status(thm)],[17614])).
% 16.65/11.49 tff(17616,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(transitivity,[status(thm)],[17615, 17613])).
% 16.65/11.49 tff(17617,plain,
% 16.65/11.49 ((~![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))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17618,plain,
% 16.65/11.49 ((~![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(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17617, 17616])).
% 16.65/11.49 tff(17619,plain,
% 16.65/11.49 (m_main_v_state1(s217, c_t1)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17618, 856, 17504, 17601])).
% 16.65/11.49 tff(17620,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17621,plain,
% 16.65/11.49 ((~![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)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17622,plain,
% 16.65/11.49 ((~![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))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17621, 17620])).
% 16.65/11.49 tff(17623,plain,
% 16.65/11.49 (~m_main_v_state2(s217, c_t2)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17622, 77, 17551])).
% 16.65/11.49 tff(17624,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17625,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s217, c_t2) | (~node1(s217)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17626,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s217, c_t2) | (~node1(s217))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 16.65/11.49 tff(17627,plain,
% 16.65/11.49 (~node1(s217)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17626, 195, 17623])).
% 16.65/11.49 tff(17628,plain,
% 16.65/11.49 (succ(s217, s218) <=> succ(s217, s218)),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17629,axiom,(succ(s217, s218)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound218')).
% 16.65/11.49 tff(17630,plain,
% 16.65/11.49 (succ(s217, s218)),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17629, 17628])).
% 16.65/11.49 tff(17631,plain,
% 16.65/11.49 (((~![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))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17632,plain,
% 16.65/11.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17633,plain,
% 16.65/11.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218)),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17632, 17631])).
% 16.65/11.49 tff(17634,plain,
% 16.65/11.49 (trans(s217, s218)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17633, 17630, 32])).
% 16.65/11.49 tff(17635,plain,
% 16.65/11.49 (((~![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))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17636,plain,
% 16.65/11.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s217, s218)) | node7(s217, s218))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17637,plain,
% 16.65/11.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s217, s218)) | node7(s217, s218)),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17636, 17635])).
% 16.65/11.49 tff(17638,plain,
% 16.65/11.49 (node7(s217, s218)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17637, 206, 17634])).
% 16.65/11.49 tff(17639,plain,
% 16.65/11.49 (((~![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(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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17640,plain,
% 16.65/11.49 (((~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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17641,plain,
% 16.65/11.49 (((~![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(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))))),
% 16.65/11.49 inference(monotonicity,[status(thm)],[17640])).
% 16.65/11.49 tff(17642,plain,
% 16.65/11.49 (((~![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(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)))),
% 16.65/11.49 inference(transitivity,[status(thm)],[17641, 17639])).
% 16.65/11.49 tff(17643,plain,
% 16.65/11.49 ((~![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(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))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17644,plain,
% 16.65/11.49 ((~![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(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))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17643, 17642])).
% 16.65/11.49 tff(17645,plain,
% 16.65/11.49 ((~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)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17644, 892, 17638])).
% 16.65/11.49 tff(17646,plain,
% 16.65/11.49 (m_main_v_state1(s218, c_c1)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17645, 17627, 17551, 17619, 17612, 17559])).
% 16.65/11.49 tff(17647,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17648,plain,
% 16.65/11.49 ((~![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)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17649,plain,
% 16.65/11.49 ((~![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))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17648, 17647])).
% 16.65/11.49 tff(17650,plain,
% 16.65/11.49 (~m_main_v_state1(s218, c_t1)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17649, 539, 17646])).
% 16.65/11.49 tff(17651,plain,
% 16.65/11.49 (((~![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)))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17652,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s218, c_t1) | (~node5(s218)))),
% 16.65/11.49 inference(quant_inst,[status(thm)],[])).
% 16.65/11.49 tff(17653,plain,
% 16.65/11.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s218, c_t1) | (~node5(s218))),
% 16.65/11.49 inference(modus_ponens,[status(thm)],[17652, 17651])).
% 16.65/11.49 tff(17654,plain,
% 16.65/11.49 (~node5(s218)),
% 16.65/11.49 inference(unit_resolution,[status(thm)],[17653, 550, 17650])).
% 16.65/11.49 tff(17655,plain,
% 16.65/11.49 (((~![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))),
% 16.65/11.49 inference(rewrite,[status(thm)],[])).
% 16.65/11.49 tff(17656,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s217, s218)) | node14(s217, s218))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17657,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s217, s218)) | node14(s217, s218)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17656, 17655])).
% 16.65/11.50 tff(17658,plain,
% 16.65/11.50 (node14(s217, s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17657, 46, 17634])).
% 16.65/11.50 tff(17659,plain,
% 16.65/11.50 (((~![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(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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17660,plain,
% 16.65/11.50 ((~![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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | (~node14(s217, s218)) | m_main_v_state2(s218, c_t2))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17661,plain,
% 16.65/11.50 ((~![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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | (~node14(s217, s218)) | m_main_v_state2(s218, c_t2)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17660, 17659])).
% 16.65/11.50 tff(17662,plain,
% 16.65/11.50 ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state2(s218, c_t2)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17661, 922, 17658])).
% 16.65/11.50 tff(17663,plain,
% 16.65/11.50 (m_main_v_state2(s218, c_t2)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17662, 17619, 17551])).
% 16.65/11.50 tff(17664,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17665,plain,
% 16.65/11.50 ((~![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)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17666,plain,
% 16.65/11.50 ((~![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))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17665, 17664])).
% 16.65/11.50 tff(17667,plain,
% 16.65/11.50 (~m_main_v_state2(s218, c_n2)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17666, 77, 17663])).
% 16.65/11.50 tff(17668,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17669,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s218, c_n2) | (~node4(s218)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17670,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s218, c_n2) | (~node4(s218))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17669, 17668])).
% 16.65/11.50 tff(17671,plain,
% 16.65/11.50 (~node4(s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17670, 388, 17667])).
% 16.65/11.50 tff(17672,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17673,plain,
% 16.65/11.50 ((~![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)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17674,plain,
% 16.65/11.50 ((~![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))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17673, 17672])).
% 16.65/11.50 tff(17675,plain,
% 16.65/11.50 (~m_main_v_state2(s218, c_c2)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17674, 260, 17663])).
% 16.65/11.50 tff(17676,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17677,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s218, c_c2) | (~node3(s218)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17678,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s218, c_c2) | (~node3(s218))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17677, 17676])).
% 16.65/11.50 tff(17679,plain,
% 16.65/11.50 (~node3(s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17678, 399, 17675])).
% 16.65/11.50 tff(17680,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17681,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s218, c_n2) | (~node2(s218)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17682,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s218, c_n2) | (~node2(s218))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17681, 17680])).
% 16.65/11.50 tff(17683,plain,
% 16.65/11.50 (~node2(s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17682, 410, 17667])).
% 16.65/11.50 tff(17684,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17685,plain,
% 16.65/11.50 ((~![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)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17686,plain,
% 16.65/11.50 ((~![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))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17685, 17684])).
% 16.65/11.50 tff(17687,plain,
% 16.65/11.50 (~m_main_v_state1(s218, c_n1)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17686, 454, 17646])).
% 16.65/11.50 tff(17688,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17689,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s218, c_n1) | (~node1(s218)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17690,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s218, c_n1) | (~node1(s218))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17689, 17688])).
% 16.65/11.50 tff(17691,plain,
% 16.65/11.50 (~node1(s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17690, 421, 17687])).
% 16.65/11.50 tff(17692,plain,
% 16.65/11.50 (succ(s218, s219) <=> succ(s218, s219)),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17693,axiom,(succ(s218, s219)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound219')).
% 16.65/11.50 tff(17694,plain,
% 16.65/11.50 (succ(s218, s219)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17693, 17692])).
% 16.65/11.50 tff(17695,plain,
% 16.65/11.50 (((~![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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17696,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17697,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17696, 17695])).
% 16.65/11.50 tff(17698,plain,
% 16.65/11.50 (trans(s218, s219)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17697, 17694, 32])).
% 16.65/11.50 tff(17699,plain,
% 16.65/11.50 (((~![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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17700,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s218, s219)) | node7(s218, s219))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17701,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s218, s219)) | node7(s218, s219)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17700, 17699])).
% 16.65/11.50 tff(17702,plain,
% 16.65/11.50 (node7(s218, s219)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17701, 206, 17698])).
% 16.65/11.50 tff(17703,plain,
% 16.65/11.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17704,plain,
% 16.65/11.50 (((~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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17705,plain,
% 16.65/11.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 16.65/11.50 inference(monotonicity,[status(thm)],[17704])).
% 16.65/11.50 tff(17706,plain,
% 16.65/11.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 16.65/11.50 inference(transitivity,[status(thm)],[17705, 17703])).
% 16.65/11.50 tff(17707,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17708,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17707, 17706])).
% 16.65/11.50 tff(17709,plain,
% 16.65/11.50 (m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17708, 584, 17702])).
% 16.65/11.50 tff(17710,plain,
% 16.65/11.50 (m_main_v_state1(s219, c_n1)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17709, 17691, 17646, 17683, 17679, 17671, 17654])).
% 16.65/11.50 tff(17711,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17712,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s217, c_t2) | (~node15(s217)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17713,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s217, c_t2) | (~node15(s217))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17712, 17711])).
% 16.65/11.50 tff(17714,plain,
% 16.65/11.50 (~node15(s217)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17713, 103, 17623])).
% 16.65/11.50 tff(17715,plain,
% 16.65/11.50 (((~![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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17716,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s217, s218)) | node18(s217, s218))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17717,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s217, s218)) | node18(s217, s218)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17716, 17715])).
% 16.65/11.50 tff(17718,plain,
% 16.65/11.50 (node18(s217, s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17717, 125, 17634])).
% 16.65/11.50 tff(17719,plain,
% 16.65/11.50 (((~![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(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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17720,plain,
% 16.65/11.50 (((~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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17721,plain,
% 16.65/11.50 (((~![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(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)))),
% 16.65/11.50 inference(monotonicity,[status(thm)],[17720])).
% 16.65/11.50 tff(17722,plain,
% 16.65/11.50 (((~![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(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))),
% 16.65/11.50 inference(transitivity,[status(thm)],[17721, 17719])).
% 16.65/11.50 tff(17723,plain,
% 16.65/11.50 ((~![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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node15(s217) | (~node18(s217, s218)) | m_main_v_turn(s218, c_1))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17724,plain,
% 16.65/11.50 ((~![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(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)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17723, 17722])).
% 16.65/11.50 tff(17725,plain,
% 16.65/11.50 (node15(s217) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17724, 992, 17718])).
% 16.65/11.50 tff(17726,plain,
% 16.65/11.50 (m_main_v_turn(s218, c_1)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17725, 17714, 17551, 17619])).
% 16.65/11.50 tff(17727,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17728,plain,
% 16.65/11.50 ((~![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)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17729,plain,
% 16.65/11.50 ((~![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))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17728, 17727])).
% 16.65/11.50 tff(17730,plain,
% 16.65/11.50 (~m_main_v_turn(s218, c_2)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17729, 156, 17726])).
% 16.65/11.50 tff(17731,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17732,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s218, c_2) | (~node12(s218)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17733,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s218, c_2) | (~node12(s218))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17732, 17731])).
% 16.65/11.50 tff(17734,plain,
% 16.65/11.50 (~node12(s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17733, 184, 17730])).
% 16.65/11.50 tff(17735,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17736,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s218, c_n2) | (~node8(s218)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17737,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s218, c_n2) | (~node8(s218))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17736, 17735])).
% 16.65/11.50 tff(17738,plain,
% 16.65/11.50 (~node8(s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17737, 271, 17667])).
% 16.65/11.50 tff(17739,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17740,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s218, c_n2) | (~node9(s218)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17741,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s218, c_n2) | (~node9(s218))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17740, 17739])).
% 16.65/11.50 tff(17742,plain,
% 16.65/11.50 (~node9(s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17741, 88, 17667])).
% 16.65/11.50 tff(17743,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17744,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s218, c_n2) | (~node10(s218)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17745,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s218, c_n2) | (~node10(s218))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17744, 17743])).
% 16.65/11.50 tff(17746,plain,
% 16.65/11.50 (~node10(s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17745, 249, 17667])).
% 16.65/11.50 tff(17747,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17748,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s218, c_n1) | (~node11(s218)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17749,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s218, c_n1) | (~node11(s218))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17748, 17747])).
% 16.65/11.50 tff(17750,plain,
% 16.65/11.50 (~node11(s218)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17749, 238, 17687])).
% 16.65/11.50 tff(17751,plain,
% 16.65/11.50 (((~![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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17752,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s218, s219)) | node14(s218, s219))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17753,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s218, s219)) | node14(s218, s219)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17752, 17751])).
% 16.65/11.50 tff(17754,plain,
% 16.65/11.50 (node14(s218, s219)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17753, 46, 17698])).
% 16.65/11.50 tff(17755,plain,
% 16.65/11.50 (((~![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(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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17756,plain,
% 16.65/11.50 ((~![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(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219) | (~node14(s218, s219)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17757,plain,
% 16.65/11.50 ((~![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(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219) | (~node14(s218, s219))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17756, 17755])).
% 16.65/11.50 tff(17758,plain,
% 16.65/11.50 (m_main_v_state2(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17757, 296, 17754])).
% 16.65/11.50 tff(17759,plain,
% 16.65/11.50 (node13(s218, s219)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17758, 17750, 17675, 17746, 17742, 17738, 17734])).
% 16.65/11.50 tff(17760,plain,
% 16.65/11.50 (((~![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(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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17761,plain,
% 16.65/11.50 (((~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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17762,plain,
% 16.65/11.50 (((~![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))))),
% 16.65/11.50 inference(monotonicity,[status(thm)],[17761])).
% 16.65/11.50 tff(17763,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(transitivity,[status(thm)],[17762, 17760])).
% 16.65/11.50 tff(17764,plain,
% 16.65/11.50 ((~![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))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17765,plain,
% 16.65/11.50 ((~![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(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17764, 17763])).
% 16.65/11.50 tff(17766,plain,
% 16.65/11.50 (m_main_v_state2(s219, c_t2)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17765, 518, 17663, 17759])).
% 16.65/11.50 tff(17767,plain,
% 16.65/11.50 (succ(s219, s220) <=> succ(s219, s220)),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17768,axiom,(succ(s219, s220)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound220')).
% 16.65/11.50 tff(17769,plain,
% 16.65/11.50 (succ(s219, s220)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17768, 17767])).
% 16.65/11.50 tff(17770,plain,
% 16.65/11.50 (((~![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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17771,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17772,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17771, 17770])).
% 16.65/11.50 tff(17773,plain,
% 16.65/11.50 (trans(s219, s220)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17772, 17769, 32])).
% 16.65/11.50 tff(17774,plain,
% 16.65/11.50 (((~![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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17775,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s219, s220)) | node7(s219, s220))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17776,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s219, s220)) | node7(s219, s220)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17775, 17774])).
% 16.65/11.50 tff(17777,plain,
% 16.65/11.50 (node7(s219, s220)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17776, 206, 17773])).
% 16.65/11.50 tff(17778,plain,
% 16.65/11.50 (((~![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(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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17779,plain,
% 16.65/11.50 ((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node7(s219, s220)) | m_main_v_state1(s220, c_t1))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17780,plain,
% 16.65/11.50 ((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node7(s219, s220)) | m_main_v_state1(s220, c_t1)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17779, 17778])).
% 16.65/11.50 tff(17781,plain,
% 16.65/11.50 ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | m_main_v_state1(s220, c_t1)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17780, 651, 17777])).
% 16.65/11.50 tff(17782,plain,
% 16.65/11.50 (m_main_v_state1(s220, c_t1)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17781, 17766, 17710])).
% 16.65/11.50 tff(17783,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17784,plain,
% 16.65/11.50 ((~![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)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17785,plain,
% 16.65/11.50 ((~![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))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17784, 17783])).
% 16.65/11.50 tff(17786,plain,
% 16.65/11.50 (~m_main_v_state1(s220, c_n1)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17785, 10, 17782])).
% 16.65/11.50 tff(17787,plain,
% 16.65/11.50 (((~![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)))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17788,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s220, c_n1) | (~node1(s220)))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17789,plain,
% 16.65/11.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s220, c_n1) | (~node1(s220))),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17788, 17787])).
% 16.65/11.50 tff(17790,plain,
% 16.65/11.50 (~node1(s220)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17789, 421, 17786])).
% 16.65/11.50 tff(17791,plain,
% 16.65/11.50 (((~![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))),
% 16.65/11.50 inference(rewrite,[status(thm)],[])).
% 16.65/11.50 tff(17792,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s219, s220)) | node18(s219, s220))),
% 16.65/11.50 inference(quant_inst,[status(thm)],[])).
% 16.65/11.50 tff(17793,plain,
% 16.65/11.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s219, s220)) | node18(s219, s220)),
% 16.65/11.50 inference(modus_ponens,[status(thm)],[17792, 17791])).
% 16.65/11.50 tff(17794,plain,
% 16.65/11.50 (node18(s219, s220)),
% 16.65/11.50 inference(unit_resolution,[status(thm)],[17793, 125, 17773])).
% 16.65/11.50 tff(17795,plain,
% 16.65/11.50 (((~![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(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))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17796,plain,
% 16.65/11.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17797,plain,
% 16.65/11.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17796, 17795])).
% 16.65/11.51 tff(17798,plain,
% 16.65/11.51 ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | m_main_v_turn(s220, c_2)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17797, 760, 17794])).
% 16.65/11.51 tff(17799,plain,
% 16.65/11.51 (m_main_v_turn(s220, c_2)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17798, 17766, 17710])).
% 16.65/11.51 tff(17800,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17801,plain,
% 16.65/11.51 ((~![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)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17802,plain,
% 16.65/11.51 ((~![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))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17801, 17800])).
% 16.65/11.51 tff(17803,plain,
% 16.65/11.51 (~m_main_v_turn(s220, c_1)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17802, 156, 17799])).
% 16.65/11.51 tff(17804,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17805,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s220, c_1) | (~node5(s220)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17806,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s220, c_1) | (~node5(s220))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17805, 17804])).
% 16.65/11.51 tff(17807,plain,
% 16.65/11.51 (~node5(s220)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17806, 776, 17803])).
% 16.65/11.51 tff(17808,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17809,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s220, c_n1) | (~node2(s220)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17810,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s220, c_n1) | (~node2(s220))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17809, 17808])).
% 16.65/11.51 tff(17811,plain,
% 16.65/11.51 (~node2(s220)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17810, 787, 17786])).
% 16.65/11.51 tff(17812,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17813,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s220, c_n1) | (~node3(s220)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17814,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s220, c_n1) | (~node3(s220))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17813, 17812])).
% 16.65/11.51 tff(17815,plain,
% 16.65/11.51 (~node3(s220)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17814, 798, 17786])).
% 16.65/11.51 tff(17816,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17817,plain,
% 16.65/11.51 ((~![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)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17818,plain,
% 16.65/11.51 ((~![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))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17817, 17816])).
% 16.65/11.51 tff(17819,plain,
% 16.65/11.51 (~m_main_v_state1(s220, c_c1)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17818, 539, 17782])).
% 16.65/11.51 tff(17820,plain,
% 16.65/11.51 (((~![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(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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17821,plain,
% 16.65/11.51 (((~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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17822,plain,
% 16.65/11.51 (((~![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))))),
% 16.65/11.51 inference(monotonicity,[status(thm)],[17821])).
% 16.65/11.51 tff(17823,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(transitivity,[status(thm)],[17822, 17820])).
% 16.65/11.51 tff(17824,plain,
% 16.65/11.51 ((~![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)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17825,plain,
% 16.65/11.51 ((~![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(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17824, 17823])).
% 16.65/11.51 tff(17826,plain,
% 16.65/11.51 (~m_main_v_state2(s219, c_n2)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17825, 311, 17667, 17759])).
% 16.65/11.51 tff(17827,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17828,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s219, c_n2) | (~node9(s219)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17829,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s219, c_n2) | (~node9(s219))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17828, 17827])).
% 16.65/11.51 tff(17830,plain,
% 16.65/11.51 (~node9(s219)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17829, 88, 17826])).
% 16.65/11.51 tff(17831,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17832,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s219, c_n2) | (~node10(s219)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17833,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s219, c_n2) | (~node10(s219))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17832, 17831])).
% 16.65/11.51 tff(17834,plain,
% 16.65/11.51 (~node10(s219)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17833, 249, 17826])).
% 16.65/11.51 tff(17835,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17836,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s219, c_n2) | (~node8(s219)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17837,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s219, c_n2) | (~node8(s219))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17836, 17835])).
% 16.65/11.51 tff(17838,plain,
% 16.65/11.51 (~node8(s219)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17837, 271, 17826])).
% 16.65/11.51 tff(17839,plain,
% 16.65/11.51 (((~![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))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17840,plain,
% 16.65/11.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s219, s220)) | node14(s219, s220))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17841,plain,
% 16.65/11.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s219, s220)) | node14(s219, s220)),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17840, 17839])).
% 16.65/11.51 tff(17842,plain,
% 16.65/11.51 (node14(s219, s220)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17841, 46, 17773])).
% 16.65/11.51 tff(17843,plain,
% 16.65/11.51 (((~![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(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))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17844,plain,
% 16.65/11.51 ((~![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(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))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17845,plain,
% 16.65/11.51 ((~![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(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)),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17844, 17843])).
% 16.65/11.51 tff(17846,plain,
% 16.65/11.51 ((~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)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17845, 617, 17842])).
% 16.65/11.51 tff(17847,plain,
% 16.65/11.51 (m_main_v_state2(s220, c_c2)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17846, 17838, 17710, 17766, 17834, 17830])).
% 16.65/11.51 tff(17848,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17849,plain,
% 16.65/11.51 ((~![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)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17850,plain,
% 16.65/11.51 ((~![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))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17849, 17848])).
% 16.65/11.51 tff(17851,plain,
% 16.65/11.51 (~m_main_v_state2(s220, c_n2)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17850, 697, 17847])).
% 16.65/11.51 tff(17852,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17853,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s220, c_n2) | (~node4(s220)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17854,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s220, c_n2) | (~node4(s220))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17853, 17852])).
% 16.65/11.51 tff(17855,plain,
% 16.65/11.51 (~node4(s220)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17854, 388, 17851])).
% 16.65/11.51 tff(17856,plain,
% 16.65/11.51 (succ(s220, s221) <=> succ(s220, s221)),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17857,axiom,(succ(s220, s221)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound221')).
% 16.65/11.51 tff(17858,plain,
% 16.65/11.51 (succ(s220, s221)),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17857, 17856])).
% 16.65/11.51 tff(17859,plain,
% 16.65/11.51 (((~![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))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17860,plain,
% 16.65/11.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17861,plain,
% 16.65/11.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221)),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17860, 17859])).
% 16.65/11.51 tff(17862,plain,
% 16.65/11.51 (trans(s220, s221)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17861, 17858, 32])).
% 16.65/11.51 tff(17863,plain,
% 16.65/11.51 (((~![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))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17864,plain,
% 16.65/11.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s220, s221)) | node7(s220, s221))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17865,plain,
% 16.65/11.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s220, s221)) | node7(s220, s221)),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17864, 17863])).
% 16.65/11.51 tff(17866,plain,
% 16.65/11.51 (node7(s220, s221)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17865, 206, 17862])).
% 16.65/11.51 tff(17867,plain,
% 16.65/11.51 (((~![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(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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17868,plain,
% 16.65/11.51 ((~![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(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221) | (~node7(s220, s221)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17869,plain,
% 16.65/11.51 ((~![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(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221) | (~node7(s220, s221))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17868, 17867])).
% 16.65/11.51 tff(17870,plain,
% 16.65/11.51 (m_main_v_state1(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17869, 820, 17866])).
% 16.65/11.51 tff(17871,plain,
% 16.65/11.51 (node6(s220, s221)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17870, 17855, 17819, 17815, 17811, 17807, 17790])).
% 16.65/11.51 tff(17872,plain,
% 16.65/11.51 (((~![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(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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17873,plain,
% 16.65/11.51 (((~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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17874,plain,
% 16.65/11.51 (((~![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))))),
% 16.65/11.51 inference(monotonicity,[status(thm)],[17873])).
% 16.65/11.51 tff(17875,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(transitivity,[status(thm)],[17874, 17872])).
% 16.65/11.51 tff(17876,plain,
% 16.65/11.51 ((~![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))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17877,plain,
% 16.65/11.51 ((~![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(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17876, 17875])).
% 16.65/11.51 tff(17878,plain,
% 16.65/11.51 (m_main_v_state1(s221, c_t1)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17877, 856, 17782, 17871])).
% 16.65/11.51 tff(17879,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17880,plain,
% 16.65/11.51 ((~![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)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17881,plain,
% 16.65/11.51 ((~![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))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17880, 17879])).
% 16.65/11.51 tff(17882,plain,
% 16.65/11.51 (~m_main_v_state2(s220, c_t2)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17881, 260, 17847])).
% 16.65/11.51 tff(17883,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17884,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s220, c_t2) | (~node12(s220)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17885,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s220, c_t2) | (~node12(s220))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17884, 17883])).
% 16.65/11.51 tff(17886,plain,
% 16.65/11.51 (~node12(s220)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17885, 633, 17882])).
% 16.65/11.51 tff(17887,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17888,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s220, c_n1) | (~node11(s220)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17889,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s220, c_n1) | (~node11(s220))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17888, 17887])).
% 16.65/11.51 tff(17890,plain,
% 16.65/11.51 (~node11(s220)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17889, 238, 17786])).
% 16.65/11.51 tff(17891,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17892,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s220, c_c1) | (~node10(s220)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17893,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s220, c_c1) | (~node10(s220))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17892, 17891])).
% 16.65/11.51 tff(17894,plain,
% 16.65/11.51 (~node10(s220)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17893, 675, 17819])).
% 16.65/11.51 tff(17895,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17896,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s220, c_n1) | (~node9(s220)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17897,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s220, c_n1) | (~node9(s220))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17896, 17895])).
% 16.65/11.51 tff(17898,plain,
% 16.65/11.51 (~node9(s220)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17897, 686, 17786])).
% 16.65/11.51 tff(17899,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17900,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s220, c_n2) | (~node8(s220)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17901,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s220, c_n2) | (~node8(s220))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17900, 17899])).
% 16.65/11.51 tff(17902,plain,
% 16.65/11.51 (~node8(s220)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17901, 271, 17851])).
% 16.65/11.51 tff(17903,plain,
% 16.65/11.51 (((~![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))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17904,plain,
% 16.65/11.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s220, s221)) | node14(s220, s221))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17905,plain,
% 16.65/11.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s220, s221)) | node14(s220, s221)),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17904, 17903])).
% 16.65/11.51 tff(17906,plain,
% 16.65/11.51 (node14(s220, s221)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17905, 46, 17862])).
% 16.65/11.51 tff(17907,plain,
% 16.65/11.51 (((~![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(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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17908,plain,
% 16.65/11.51 (((~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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17909,plain,
% 16.65/11.51 (((~![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(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))))),
% 16.65/11.51 inference(monotonicity,[status(thm)],[17908])).
% 16.65/11.51 tff(17910,plain,
% 16.65/11.51 (((~![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(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)))),
% 16.65/11.51 inference(transitivity,[status(thm)],[17909, 17907])).
% 16.65/11.51 tff(17911,plain,
% 16.65/11.51 ((~![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(s220, c_c2)) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | m_main_v_state2(s221, c_n2))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17912,plain,
% 16.65/11.51 ((~![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(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17911, 17910])).
% 16.65/11.51 tff(17913,plain,
% 16.65/11.51 (m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~m_main_v_state2(s220, c_c2))),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17912, 726, 17906])).
% 16.65/11.51 tff(17914,plain,
% 16.65/11.51 (m_main_v_state2(s221, c_n2)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17913, 17902, 17847, 17898, 17894, 17890, 17886])).
% 16.65/11.51 tff(17915,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17916,plain,
% 16.65/11.51 ((~![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)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17917,plain,
% 16.65/11.51 ((~![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))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17916, 17915])).
% 16.65/11.51 tff(17918,plain,
% 16.65/11.51 (~m_main_v_state2(s221, c_t2)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17917, 77, 17914])).
% 16.65/11.51 tff(17919,plain,
% 16.65/11.51 (((~![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)))),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17920,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s221, c_t2) | (~node15(s221)))),
% 16.65/11.51 inference(quant_inst,[status(thm)],[])).
% 16.65/11.51 tff(17921,plain,
% 16.65/11.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s221, c_t2) | (~node15(s221))),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17920, 17919])).
% 16.65/11.51 tff(17922,plain,
% 16.65/11.51 (~node15(s221)),
% 16.65/11.51 inference(unit_resolution,[status(thm)],[17921, 103, 17918])).
% 16.65/11.51 tff(17923,plain,
% 16.65/11.51 (succ(s221, s222) <=> succ(s221, s222)),
% 16.65/11.51 inference(rewrite,[status(thm)],[])).
% 16.65/11.51 tff(17924,axiom,(succ(s221, s222)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound222')).
% 16.65/11.51 tff(17925,plain,
% 16.65/11.51 (succ(s221, s222)),
% 16.65/11.51 inference(modus_ponens,[status(thm)],[17924, 17923])).
% 16.65/11.52 tff(17926,plain,
% 16.65/11.52 (((~![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))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17927,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17928,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222)),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17927, 17926])).
% 16.65/11.52 tff(17929,plain,
% 16.65/11.52 (trans(s221, s222)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17928, 17925, 32])).
% 16.65/11.52 tff(17930,plain,
% 16.65/11.52 (((~![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))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17931,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s221, s222)) | node18(s221, s222))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17932,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s221, s222)) | node18(s221, s222)),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17931, 17930])).
% 16.65/11.52 tff(17933,plain,
% 16.65/11.52 (node18(s221, s222)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17932, 125, 17929])).
% 16.65/11.52 tff(17934,plain,
% 16.65/11.52 (((~![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(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))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17935,plain,
% 16.65/11.52 (((~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))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17936,plain,
% 16.65/11.52 (((~![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))) | ((~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)))),
% 16.65/11.52 inference(monotonicity,[status(thm)],[17935])).
% 16.65/11.52 tff(17937,plain,
% 16.65/11.52 (((~![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))) | ((~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))),
% 16.65/11.52 inference(transitivity,[status(thm)],[17936, 17934])).
% 16.65/11.52 tff(17938,plain,
% 16.65/11.52 ((~![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))) | ((~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))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17939,plain,
% 16.65/11.52 ((~![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(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)),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17938, 17937])).
% 16.65/11.52 tff(17940,plain,
% 16.65/11.52 (node15(s221) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17939, 992, 17933])).
% 16.65/11.52 tff(17941,plain,
% 16.65/11.52 (m_main_v_turn(s222, c_1)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17940, 17922, 17914, 17878])).
% 16.65/11.52 tff(17942,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17943,plain,
% 16.65/11.52 ((~![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)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17944,plain,
% 16.65/11.52 ((~![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))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17943, 17942])).
% 16.65/11.52 tff(17945,plain,
% 16.65/11.52 (~m_main_v_turn(s222, c_2)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17944, 156, 17941])).
% 16.65/11.52 tff(17946,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17947,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s222, c_2) | (~node12(s222)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17948,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s222, c_2) | (~node12(s222))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 16.65/11.52 tff(17949,plain,
% 16.65/11.52 (~node12(s222)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17948, 184, 17945])).
% 16.65/11.52 tff(17950,plain,
% 16.65/11.52 (((~![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))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17951,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s221, s222)) | node14(s221, s222))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17952,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s221, s222)) | node14(s221, s222)),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17951, 17950])).
% 16.65/11.52 tff(17953,plain,
% 16.65/11.52 (node14(s221, s222)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17952, 46, 17929])).
% 16.65/11.52 tff(17954,plain,
% 16.65/11.52 (((~![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(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))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17955,plain,
% 16.65/11.52 ((~![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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | (~node14(s221, s222)) | m_main_v_state2(s222, c_t2))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17956,plain,
% 16.65/11.52 ((~![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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | (~node14(s221, s222)) | m_main_v_state2(s222, c_t2)),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17955, 17954])).
% 16.65/11.52 tff(17957,plain,
% 16.65/11.52 ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state2(s222, c_t2)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17956, 922, 17953])).
% 16.65/11.52 tff(17958,plain,
% 16.65/11.52 (m_main_v_state2(s222, c_t2)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17957, 17878, 17914])).
% 16.65/11.52 tff(17959,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17960,plain,
% 16.65/11.52 ((~![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)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17961,plain,
% 16.65/11.52 ((~![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))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17960, 17959])).
% 16.65/11.52 tff(17962,plain,
% 16.65/11.52 (~m_main_v_state2(s222, c_n2)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17961, 77, 17958])).
% 16.65/11.52 tff(17963,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17964,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s222, c_n2) | (~node8(s222)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17965,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s222, c_n2) | (~node8(s222))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17964, 17963])).
% 16.65/11.52 tff(17966,plain,
% 16.65/11.52 (~node8(s222)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17965, 271, 17962])).
% 16.65/11.52 tff(17967,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17968,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s222, c_n2) | (~node9(s222)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17969,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s222, c_n2) | (~node9(s222))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17968, 17967])).
% 16.65/11.52 tff(17970,plain,
% 16.65/11.52 (~node9(s222)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17969, 88, 17962])).
% 16.65/11.52 tff(17971,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17972,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s222, c_n2) | (~node10(s222)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17973,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s222, c_n2) | (~node10(s222))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17972, 17971])).
% 16.65/11.52 tff(17974,plain,
% 16.65/11.52 (~node10(s222)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17973, 249, 17962])).
% 16.65/11.52 tff(17975,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17976,plain,
% 16.65/11.52 ((~![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)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17977,plain,
% 16.65/11.52 ((~![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))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17976, 17975])).
% 16.65/11.52 tff(17978,plain,
% 16.65/11.52 (~m_main_v_state2(s222, c_c2)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17977, 260, 17958])).
% 16.65/11.52 tff(17979,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17980,plain,
% 16.65/11.52 ((~![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)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17981,plain,
% 16.65/11.52 ((~![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))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17980, 17979])).
% 16.65/11.52 tff(17982,plain,
% 16.65/11.52 (~m_main_v_state2(s221, c_c2)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17981, 697, 17914])).
% 16.65/11.52 tff(17983,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17984,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s221, c_c2) | (~node3(s221)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17985,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s221, c_c2) | (~node3(s221))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17984, 17983])).
% 16.65/11.52 tff(17986,plain,
% 16.65/11.52 (~node3(s221)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17985, 399, 17982])).
% 16.65/11.52 tff(17987,plain,
% 16.65/11.52 (((~![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(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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17988,plain,
% 16.65/11.52 (((~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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17989,plain,
% 16.65/11.52 (((~![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))))),
% 16.65/11.52 inference(monotonicity,[status(thm)],[17988])).
% 16.65/11.52 tff(17990,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(transitivity,[status(thm)],[17989, 17987])).
% 16.65/11.52 tff(17991,plain,
% 16.65/11.52 ((~![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)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17992,plain,
% 16.65/11.52 ((~![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(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17991, 17990])).
% 16.65/11.52 tff(17993,plain,
% 16.65/11.52 (~m_main_v_state1(s221, c_n1)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17992, 835, 17786, 17871])).
% 16.65/11.52 tff(17994,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17995,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s221, c_n1) | (~node2(s221)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(17996,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s221, c_n1) | (~node2(s221))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17995, 17994])).
% 16.65/11.52 tff(17997,plain,
% 16.65/11.52 (~node2(s221)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[17996, 787, 17993])).
% 16.65/11.52 tff(17998,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(17999,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s221, c_t2) | (~node1(s221)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(18000,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s221, c_t2) | (~node1(s221))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[17999, 17998])).
% 16.65/11.52 tff(18001,plain,
% 16.65/11.52 (~node1(s221)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18000, 195, 17918])).
% 16.65/11.52 tff(18002,plain,
% 16.65/11.52 (((~![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))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18003,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s221, s222)) | node7(s221, s222))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(18004,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s221, s222)) | node7(s221, s222)),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[18003, 18002])).
% 16.65/11.52 tff(18005,plain,
% 16.65/11.52 (node7(s221, s222)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18004, 206, 17929])).
% 16.65/11.52 tff(18006,plain,
% 16.65/11.52 (((~![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(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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18007,plain,
% 16.65/11.52 (((~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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18008,plain,
% 16.65/11.52 (((~![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(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))))),
% 16.65/11.52 inference(monotonicity,[status(thm)],[18007])).
% 16.65/11.52 tff(18009,plain,
% 16.65/11.52 (((~![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(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)))),
% 16.65/11.52 inference(transitivity,[status(thm)],[18008, 18006])).
% 16.65/11.52 tff(18010,plain,
% 16.65/11.52 ((~![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(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))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(18011,plain,
% 16.65/11.52 ((~![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(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))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[18010, 18009])).
% 16.65/11.52 tff(18012,plain,
% 16.65/11.52 ((~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)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18011, 892, 18005])).
% 16.65/11.52 tff(18013,plain,
% 16.65/11.52 (m_main_v_state1(s222, c_c1)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18012, 18001, 17914, 17878, 17997, 17986])).
% 16.65/11.52 tff(18014,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18015,plain,
% 16.65/11.52 ((~![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)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(18016,plain,
% 16.65/11.52 ((~![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))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[18015, 18014])).
% 16.65/11.52 tff(18017,plain,
% 16.65/11.52 (~m_main_v_state1(s222, c_n1)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18016, 454, 18013])).
% 16.65/11.52 tff(18018,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18019,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s222, c_n1) | (~node11(s222)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(18020,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s222, c_n1) | (~node11(s222))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[18019, 18018])).
% 16.65/11.52 tff(18021,plain,
% 16.65/11.52 (~node11(s222)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18020, 238, 18017])).
% 16.65/11.52 tff(18022,plain,
% 16.65/11.52 (succ(s222, s223) <=> succ(s222, s223)),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18023,axiom,(succ(s222, s223)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound223')).
% 16.65/11.52 tff(18024,plain,
% 16.65/11.52 (succ(s222, s223)),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[18023, 18022])).
% 16.65/11.52 tff(18025,plain,
% 16.65/11.52 (((~![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))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18026,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(18027,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223)),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[18026, 18025])).
% 16.65/11.52 tff(18028,plain,
% 16.65/11.52 (trans(s222, s223)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18027, 18024, 32])).
% 16.65/11.52 tff(18029,plain,
% 16.65/11.52 (((~![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))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18030,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s222, s223)) | node14(s222, s223))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(18031,plain,
% 16.65/11.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s222, s223)) | node14(s222, s223)),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[18030, 18029])).
% 16.65/11.52 tff(18032,plain,
% 16.65/11.52 (node14(s222, s223)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18031, 46, 18028])).
% 16.65/11.52 tff(18033,plain,
% 16.65/11.52 (((~![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(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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18034,plain,
% 16.65/11.52 ((~![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(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223) | (~node14(s222, s223)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(18035,plain,
% 16.65/11.52 ((~![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(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223) | (~node14(s222, s223))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[18034, 18033])).
% 16.65/11.52 tff(18036,plain,
% 16.65/11.52 (m_main_v_state2(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18035, 296, 18032])).
% 16.65/11.52 tff(18037,plain,
% 16.65/11.52 (node13(s222, s223)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18036, 18021, 17978, 17974, 17970, 17966, 17949])).
% 16.65/11.52 tff(18038,plain,
% 16.65/11.52 (((~![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(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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18039,plain,
% 16.65/11.52 (((~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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18040,plain,
% 16.65/11.52 (((~![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))))),
% 16.65/11.52 inference(monotonicity,[status(thm)],[18039])).
% 16.65/11.52 tff(18041,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(transitivity,[status(thm)],[18040, 18038])).
% 16.65/11.52 tff(18042,plain,
% 16.65/11.52 ((~![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)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(18043,plain,
% 16.65/11.52 ((~![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(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[18042, 18041])).
% 16.65/11.52 tff(18044,plain,
% 16.65/11.52 (~m_main_v_state2(s223, c_n2)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18043, 311, 17962, 18037])).
% 16.65/11.52 tff(18045,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.52 inference(rewrite,[status(thm)],[])).
% 16.65/11.52 tff(18046,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s223, c_n2) | (~node9(s223)))),
% 16.65/11.52 inference(quant_inst,[status(thm)],[])).
% 16.65/11.52 tff(18047,plain,
% 16.65/11.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s223, c_n2) | (~node9(s223))),
% 16.65/11.52 inference(modus_ponens,[status(thm)],[18046, 18045])).
% 16.65/11.52 tff(18048,plain,
% 16.65/11.52 (~node9(s223)),
% 16.65/11.52 inference(unit_resolution,[status(thm)],[18047, 88, 18044])).
% 16.65/11.52 tff(18049,plain,
% 16.65/11.52 (((~![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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18050,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s223, c_n2) | (~node10(s223)))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18051,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s223, c_n2) | (~node10(s223))),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18050, 18049])).
% 16.65/11.53 tff(18052,plain,
% 16.65/11.53 (~node10(s223)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18051, 249, 18044])).
% 16.65/11.53 tff(18053,plain,
% 16.65/11.53 (((~![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(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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18054,plain,
% 16.65/11.53 (((~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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18055,plain,
% 16.65/11.53 (((~![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))))),
% 16.65/11.53 inference(monotonicity,[status(thm)],[18054])).
% 16.65/11.53 tff(18056,plain,
% 16.65/11.53 (((~![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)))),
% 16.65/11.53 inference(transitivity,[status(thm)],[18055, 18053])).
% 16.65/11.53 tff(18057,plain,
% 16.65/11.53 ((~![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))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18058,plain,
% 16.65/11.53 ((~![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(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223))),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18057, 18056])).
% 16.65/11.53 tff(18059,plain,
% 16.65/11.53 (m_main_v_state2(s223, c_t2)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18058, 518, 17958, 18037])).
% 16.65/11.53 tff(18060,plain,
% 16.65/11.53 (((~![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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18061,plain,
% 16.65/11.53 ((~![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)))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18062,plain,
% 16.65/11.53 ((~![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))),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18061, 18060])).
% 16.65/11.53 tff(18063,plain,
% 16.65/11.53 (~m_main_v_state1(s222, c_t1)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18062, 539, 18013])).
% 16.65/11.53 tff(18064,plain,
% 16.65/11.53 (((~![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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18065,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s222, c_t1) | (~node5(s222)))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18066,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s222, c_t1) | (~node5(s222))),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18065, 18064])).
% 16.65/11.53 tff(18067,plain,
% 16.65/11.53 (~node5(s222)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18066, 550, 18063])).
% 16.65/11.53 tff(18068,plain,
% 16.65/11.53 (((~![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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18069,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s222, c_n2) | (~node4(s222)))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18070,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s222, c_n2) | (~node4(s222))),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18069, 18068])).
% 16.65/11.53 tff(18071,plain,
% 16.65/11.53 (~node4(s222)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18070, 388, 17962])).
% 16.65/11.53 tff(18072,plain,
% 16.65/11.53 (((~![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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18073,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s222, c_c2) | (~node3(s222)))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18074,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s222, c_c2) | (~node3(s222))),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18073, 18072])).
% 16.65/11.53 tff(18075,plain,
% 16.65/11.53 (~node3(s222)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18074, 399, 17978])).
% 16.65/11.53 tff(18076,plain,
% 16.65/11.53 (((~![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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18077,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s222, c_n2) | (~node2(s222)))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18078,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s222, c_n2) | (~node2(s222))),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18077, 18076])).
% 16.65/11.53 tff(18079,plain,
% 16.65/11.53 (~node2(s222)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18078, 410, 17962])).
% 16.65/11.53 tff(18080,plain,
% 16.65/11.53 (((~![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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18081,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s222, c_n1) | (~node1(s222)))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18082,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s222, c_n1) | (~node1(s222))),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18081, 18080])).
% 16.65/11.53 tff(18083,plain,
% 16.65/11.53 (~node1(s222)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18082, 421, 18017])).
% 16.65/11.53 tff(18084,plain,
% 16.65/11.53 (((~![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))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18085,plain,
% 16.65/11.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s222, s223)) | node7(s222, s223))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18086,plain,
% 16.65/11.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s222, s223)) | node7(s222, s223)),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18085, 18084])).
% 16.65/11.53 tff(18087,plain,
% 16.65/11.53 (node7(s222, s223)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18086, 206, 18028])).
% 16.65/11.53 tff(18088,plain,
% 16.65/11.53 (((~![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(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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18089,plain,
% 16.65/11.53 (((~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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18090,plain,
% 16.65/11.53 (((~![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(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))))),
% 16.65/11.53 inference(monotonicity,[status(thm)],[18089])).
% 16.65/11.53 tff(18091,plain,
% 16.65/11.53 (((~![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(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)))),
% 16.65/11.53 inference(transitivity,[status(thm)],[18090, 18088])).
% 16.65/11.53 tff(18092,plain,
% 16.65/11.53 ((~![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(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)) | m_main_v_state1(s223, c_n1))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18093,plain,
% 16.65/11.53 ((~![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(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223))),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18092, 18091])).
% 16.65/11.53 tff(18094,plain,
% 16.65/11.53 (m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18093, 584, 18087])).
% 16.65/11.53 tff(18095,plain,
% 16.65/11.53 (m_main_v_state1(s223, c_n1)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18094, 18083, 18013, 18079, 18075, 18071, 18067])).
% 16.65/11.53 tff(18096,plain,
% 16.65/11.53 (((~![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)))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18097,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s223, c_n2) | (~node8(s223)))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18098,plain,
% 16.65/11.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s223, c_n2) | (~node8(s223))),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18097, 18096])).
% 16.65/11.53 tff(18099,plain,
% 16.65/11.53 (~node8(s223)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18098, 271, 18044])).
% 16.65/11.53 tff(18100,plain,
% 16.65/11.53 (succ(s223, s224) <=> succ(s223, s224)),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18101,axiom,(succ(s223, s224)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound224')).
% 16.65/11.53 tff(18102,plain,
% 16.65/11.53 (succ(s223, s224)),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18101, 18100])).
% 16.65/11.53 tff(18103,plain,
% 16.65/11.53 (((~![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))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18104,plain,
% 16.65/11.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18105,plain,
% 16.65/11.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224)),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18104, 18103])).
% 16.65/11.53 tff(18106,plain,
% 16.65/11.53 (trans(s223, s224)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18105, 18102, 32])).
% 16.65/11.53 tff(18107,plain,
% 16.65/11.53 (((~![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))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18108,plain,
% 16.65/11.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s223, s224)) | node14(s223, s224))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18109,plain,
% 16.65/11.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s223, s224)) | node14(s223, s224)),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18108, 18107])).
% 16.65/11.53 tff(18110,plain,
% 16.65/11.53 (node14(s223, s224)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18109, 46, 18106])).
% 16.65/11.53 tff(18111,plain,
% 16.65/11.53 (((~![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(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))),
% 16.65/11.53 inference(rewrite,[status(thm)],[])).
% 16.65/11.53 tff(18112,plain,
% 16.65/11.53 ((~![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(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))),
% 16.65/11.53 inference(quant_inst,[status(thm)],[])).
% 16.65/11.53 tff(18113,plain,
% 16.65/11.53 ((~![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(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)),
% 16.65/11.53 inference(modus_ponens,[status(thm)],[18112, 18111])).
% 16.65/11.53 tff(18114,plain,
% 16.65/11.53 ((~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)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18113, 617, 18110])).
% 16.65/11.53 tff(18115,plain,
% 16.65/11.53 (m_main_v_state2(s224, c_c2)),
% 16.65/11.53 inference(unit_resolution,[status(thm)],[18114, 18099, 18095, 18059, 18052, 18048])).
% 16.65/11.53 tff(18116,plain,
% 16.65/11.53 (((~![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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18117,plain,
% 16.73/11.53 ((~![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)))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18118,plain,
% 16.73/11.53 ((~![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))),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18117, 18116])).
% 16.73/11.53 tff(18119,plain,
% 16.73/11.53 (~m_main_v_state2(s224, c_t2)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18118, 260, 18115])).
% 16.73/11.53 tff(18120,plain,
% 16.73/11.53 (((~![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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18121,plain,
% 16.73/11.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s224, c_t2) | (~node12(s224)))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18122,plain,
% 16.73/11.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s224, c_t2) | (~node12(s224))),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18121, 18120])).
% 16.73/11.53 tff(18123,plain,
% 16.73/11.53 (~node12(s224)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18122, 633, 18119])).
% 16.73/11.53 tff(18124,plain,
% 16.73/11.53 (((~![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))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18125,plain,
% 16.73/11.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s223, s224)) | node7(s223, s224))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18126,plain,
% 16.73/11.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s223, s224)) | node7(s223, s224)),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18125, 18124])).
% 16.73/11.53 tff(18127,plain,
% 16.73/11.53 (node7(s223, s224)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18126, 206, 18106])).
% 16.73/11.53 tff(18128,plain,
% 16.73/11.53 (((~![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(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))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18129,plain,
% 16.73/11.53 ((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node7(s223, s224)) | m_main_v_state1(s224, c_t1))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18130,plain,
% 16.73/11.53 ((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node7(s223, s224)) | m_main_v_state1(s224, c_t1)),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18129, 18128])).
% 16.73/11.53 tff(18131,plain,
% 16.73/11.53 ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | m_main_v_state1(s224, c_t1)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18130, 651, 18127])).
% 16.73/11.53 tff(18132,plain,
% 16.73/11.53 (m_main_v_state1(s224, c_t1)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18131, 18059, 18095])).
% 16.73/11.53 tff(18133,plain,
% 16.73/11.53 (((~![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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18134,plain,
% 16.73/11.53 ((~![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)))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18135,plain,
% 16.73/11.53 ((~![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))),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18134, 18133])).
% 16.73/11.53 tff(18136,plain,
% 16.73/11.53 (~m_main_v_state1(s224, c_n1)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18135, 10, 18132])).
% 16.73/11.53 tff(18137,plain,
% 16.73/11.53 (((~![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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18138,plain,
% 16.73/11.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s224, c_n1) | (~node11(s224)))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18139,plain,
% 16.73/11.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s224, c_n1) | (~node11(s224))),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 16.73/11.53 tff(18140,plain,
% 16.73/11.53 (~node11(s224)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18139, 238, 18136])).
% 16.73/11.53 tff(18141,plain,
% 16.73/11.53 (((~![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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18142,plain,
% 16.73/11.53 ((~![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)))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18143,plain,
% 16.73/11.53 ((~![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))),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18142, 18141])).
% 16.73/11.53 tff(18144,plain,
% 16.73/11.53 (~m_main_v_state1(s224, c_c1)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18143, 539, 18132])).
% 16.73/11.53 tff(18145,plain,
% 16.73/11.53 (((~![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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18146,plain,
% 16.73/11.53 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s224, c_c1) | (~node10(s224)))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18147,plain,
% 16.73/11.53 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s224, c_c1) | (~node10(s224))),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18146, 18145])).
% 16.73/11.53 tff(18148,plain,
% 16.73/11.53 (~node10(s224)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18147, 675, 18144])).
% 16.73/11.53 tff(18149,plain,
% 16.73/11.53 (((~![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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18150,plain,
% 16.73/11.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s224, c_n1) | (~node9(s224)))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18151,plain,
% 16.73/11.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s224, c_n1) | (~node9(s224))),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18150, 18149])).
% 16.73/11.53 tff(18152,plain,
% 16.73/11.53 (~node9(s224)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18151, 686, 18136])).
% 16.73/11.53 tff(18153,plain,
% 16.73/11.53 (((~![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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18154,plain,
% 16.73/11.53 ((~![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)))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18155,plain,
% 16.73/11.53 ((~![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))),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18154, 18153])).
% 16.73/11.53 tff(18156,plain,
% 16.73/11.53 (~m_main_v_state2(s224, c_n2)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18155, 697, 18115])).
% 16.73/11.53 tff(18157,plain,
% 16.73/11.53 (((~![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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18158,plain,
% 16.73/11.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s224, c_n2) | (~node8(s224)))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18159,plain,
% 16.73/11.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s224, c_n2) | (~node8(s224))),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18158, 18157])).
% 16.73/11.53 tff(18160,plain,
% 16.73/11.53 (~node8(s224)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18159, 271, 18156])).
% 16.73/11.53 tff(18161,plain,
% 16.73/11.53 (succ(s224, s225) <=> succ(s224, s225)),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18162,axiom,(succ(s224, s225)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound225')).
% 16.73/11.53 tff(18163,plain,
% 16.73/11.53 (succ(s224, s225)),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18162, 18161])).
% 16.73/11.53 tff(18164,plain,
% 16.73/11.53 (((~![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))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18165,plain,
% 16.73/11.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18166,plain,
% 16.73/11.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225)),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18165, 18164])).
% 16.73/11.53 tff(18167,plain,
% 16.73/11.53 (trans(s224, s225)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18166, 18163, 32])).
% 16.73/11.53 tff(18168,plain,
% 16.73/11.53 (((~![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))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18169,plain,
% 16.73/11.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s224, s225)) | node14(s224, s225))),
% 16.73/11.53 inference(quant_inst,[status(thm)],[])).
% 16.73/11.53 tff(18170,plain,
% 16.73/11.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s224, s225)) | node14(s224, s225)),
% 16.73/11.53 inference(modus_ponens,[status(thm)],[18169, 18168])).
% 16.73/11.53 tff(18171,plain,
% 16.73/11.53 (node14(s224, s225)),
% 16.73/11.53 inference(unit_resolution,[status(thm)],[18170, 46, 18167])).
% 16.73/11.53 tff(18172,plain,
% 16.73/11.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18173,plain,
% 16.73/11.53 (((~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)))),
% 16.73/11.53 inference(rewrite,[status(thm)],[])).
% 16.73/11.53 tff(18174,plain,
% 16.73/11.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.73/11.54 inference(monotonicity,[status(thm)],[18173])).
% 16.73/11.54 tff(18175,plain,
% 16.73/11.54 (((~![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(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)))),
% 16.73/11.54 inference(transitivity,[status(thm)],[18174, 18172])).
% 16.73/11.54 tff(18176,plain,
% 16.73/11.54 ((~![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(s224, c_c2)) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | m_main_v_state2(s225, c_n2))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18177,plain,
% 16.73/11.54 ((~![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(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18176, 18175])).
% 16.73/11.54 tff(18178,plain,
% 16.73/11.54 (m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~m_main_v_state2(s224, c_c2))),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18177, 726, 18171])).
% 16.73/11.54 tff(18179,plain,
% 16.73/11.54 (m_main_v_state2(s225, c_n2)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18178, 18160, 18115, 18152, 18148, 18140, 18123])).
% 16.73/11.54 tff(18180,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18181,plain,
% 16.73/11.54 ((~![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)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18182,plain,
% 16.73/11.54 ((~![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))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18181, 18180])).
% 16.73/11.54 tff(18183,plain,
% 16.73/11.54 (~m_main_v_state2(s225, c_c2)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18182, 697, 18179])).
% 16.73/11.54 tff(18184,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18185,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s225, c_c2) | (~node3(s225)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18186,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s225, c_c2) | (~node3(s225))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18185, 18184])).
% 16.73/11.54 tff(18187,plain,
% 16.73/11.54 (~node3(s225)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18186, 399, 18183])).
% 16.73/11.54 tff(18188,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18189,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s224, c_n1) | (~node1(s224)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18190,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s224, c_n1) | (~node1(s224))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18189, 18188])).
% 16.73/11.54 tff(18191,plain,
% 16.73/11.54 (~node1(s224)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18190, 421, 18136])).
% 16.73/11.54 tff(18192,plain,
% 16.73/11.54 (((~![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))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18193,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s223, s224)) | node18(s223, s224))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18194,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s223, s224)) | node18(s223, s224)),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18193, 18192])).
% 16.73/11.54 tff(18195,plain,
% 16.73/11.54 (node18(s223, s224)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18194, 125, 18106])).
% 16.73/11.54 tff(18196,plain,
% 16.73/11.54 (((~![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(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))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18197,plain,
% 16.73/11.54 ((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node18(s223, s224)) | m_main_v_turn(s224, c_2))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18198,plain,
% 16.73/11.54 ((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node18(s223, s224)) | m_main_v_turn(s224, c_2)),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18197, 18196])).
% 16.73/11.54 tff(18199,plain,
% 16.73/11.54 ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | m_main_v_turn(s224, c_2)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18198, 760, 18195])).
% 16.73/11.54 tff(18200,plain,
% 16.73/11.54 (m_main_v_turn(s224, c_2)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18199, 18059, 18095])).
% 16.73/11.54 tff(18201,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18202,plain,
% 16.73/11.54 ((~![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)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18203,plain,
% 16.73/11.54 ((~![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))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18202, 18201])).
% 16.73/11.54 tff(18204,plain,
% 16.73/11.54 (~m_main_v_turn(s224, c_1)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18203, 156, 18200])).
% 16.73/11.54 tff(18205,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18206,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s224, c_1) | (~node5(s224)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18207,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s224, c_1) | (~node5(s224))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18206, 18205])).
% 16.73/11.54 tff(18208,plain,
% 16.73/11.54 (~node5(s224)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18207, 776, 18204])).
% 16.73/11.54 tff(18209,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18210,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s224, c_n1) | (~node2(s224)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18211,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s224, c_n1) | (~node2(s224))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18210, 18209])).
% 16.73/11.54 tff(18212,plain,
% 16.73/11.54 (~node2(s224)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18211, 787, 18136])).
% 16.73/11.54 tff(18213,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18214,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s224, c_n1) | (~node3(s224)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18215,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s224, c_n1) | (~node3(s224))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18214, 18213])).
% 16.73/11.54 tff(18216,plain,
% 16.73/11.54 (~node3(s224)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18215, 798, 18136])).
% 16.73/11.54 tff(18217,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18218,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s224, c_n2) | (~node4(s224)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18219,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s224, c_n2) | (~node4(s224))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18218, 18217])).
% 16.73/11.54 tff(18220,plain,
% 16.73/11.54 (~node4(s224)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18219, 388, 18156])).
% 16.73/11.54 tff(18221,plain,
% 16.73/11.54 (((~![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))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18222,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s224, s225)) | node7(s224, s225))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18223,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s224, s225)) | node7(s224, s225)),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18222, 18221])).
% 16.73/11.54 tff(18224,plain,
% 16.73/11.54 (node7(s224, s225)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18223, 206, 18167])).
% 16.73/11.54 tff(18225,plain,
% 16.73/11.54 (((~![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(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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18226,plain,
% 16.73/11.54 ((~![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(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225) | (~node7(s224, s225)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18227,plain,
% 16.73/11.54 ((~![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(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225) | (~node7(s224, s225))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18226, 18225])).
% 16.73/11.54 tff(18228,plain,
% 16.73/11.54 (m_main_v_state1(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18227, 820, 18224])).
% 16.73/11.54 tff(18229,plain,
% 16.73/11.54 (node6(s224, s225)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18228, 18220, 18144, 18216, 18212, 18208, 18191])).
% 16.73/11.54 tff(18230,plain,
% 16.73/11.54 (((~![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(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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18231,plain,
% 16.73/11.54 (((~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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18232,plain,
% 16.73/11.54 (((~![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))))),
% 16.73/11.54 inference(monotonicity,[status(thm)],[18231])).
% 16.73/11.54 tff(18233,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(transitivity,[status(thm)],[18232, 18230])).
% 16.73/11.54 tff(18234,plain,
% 16.73/11.54 ((~![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)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18235,plain,
% 16.73/11.54 ((~![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(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18234, 18233])).
% 16.73/11.54 tff(18236,plain,
% 16.73/11.54 (~m_main_v_state1(s225, c_n1)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18235, 835, 18136, 18229])).
% 16.73/11.54 tff(18237,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18238,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s225, c_n1) | (~node2(s225)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18239,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s225, c_n1) | (~node2(s225))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18238, 18237])).
% 16.73/11.54 tff(18240,plain,
% 16.73/11.54 (~node2(s225)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18239, 787, 18236])).
% 16.73/11.54 tff(18241,plain,
% 16.73/11.54 (((~![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(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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18242,plain,
% 16.73/11.54 (((~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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18243,plain,
% 16.73/11.54 (((~![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))))),
% 16.73/11.54 inference(monotonicity,[status(thm)],[18242])).
% 16.73/11.54 tff(18244,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(transitivity,[status(thm)],[18243, 18241])).
% 16.73/11.54 tff(18245,plain,
% 16.73/11.54 ((~![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))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18246,plain,
% 16.73/11.54 ((~![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(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18245, 18244])).
% 16.73/11.54 tff(18247,plain,
% 16.73/11.54 (m_main_v_state1(s225, c_t1)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18246, 856, 18132, 18229])).
% 16.73/11.54 tff(18248,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18249,plain,
% 16.73/11.54 ((~![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)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18250,plain,
% 16.73/11.54 ((~![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))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18249, 18248])).
% 16.73/11.54 tff(18251,plain,
% 16.73/11.54 (~m_main_v_state2(s225, c_t2)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18250, 77, 18179])).
% 16.73/11.54 tff(18252,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18253,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s225, c_t2) | (~node1(s225)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18254,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s225, c_t2) | (~node1(s225))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18253, 18252])).
% 16.73/11.54 tff(18255,plain,
% 16.73/11.54 (~node1(s225)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18254, 195, 18251])).
% 16.73/11.54 tff(18256,plain,
% 16.73/11.54 (succ(s225, s226) <=> succ(s225, s226)),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18257,axiom,(succ(s225, s226)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound226')).
% 16.73/11.54 tff(18258,plain,
% 16.73/11.54 (succ(s225, s226)),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18257, 18256])).
% 16.73/11.54 tff(18259,plain,
% 16.73/11.54 (((~![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))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18260,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18261,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226)),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18260, 18259])).
% 16.73/11.54 tff(18262,plain,
% 16.73/11.54 (trans(s225, s226)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18261, 18258, 32])).
% 16.73/11.54 tff(18263,plain,
% 16.73/11.54 (((~![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))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18264,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s225, s226)) | node7(s225, s226))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18265,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s225, s226)) | node7(s225, s226)),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18264, 18263])).
% 16.73/11.54 tff(18266,plain,
% 16.73/11.54 (node7(s225, s226)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18265, 206, 18262])).
% 16.73/11.54 tff(18267,plain,
% 16.73/11.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18268,plain,
% 16.73/11.54 (((~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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18269,plain,
% 16.73/11.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.73/11.54 inference(monotonicity,[status(thm)],[18268])).
% 16.73/11.54 tff(18270,plain,
% 16.73/11.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.73/11.54 inference(transitivity,[status(thm)],[18269, 18267])).
% 16.73/11.54 tff(18271,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18272,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18271, 18270])).
% 16.73/11.54 tff(18273,plain,
% 16.73/11.54 ((~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)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18272, 892, 18266])).
% 16.73/11.54 tff(18274,plain,
% 16.73/11.54 (m_main_v_state1(s226, c_c1)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18273, 18255, 18179, 18247, 18240, 18187])).
% 16.73/11.54 tff(18275,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18276,plain,
% 16.73/11.54 ((~![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)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18277,plain,
% 16.73/11.54 ((~![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))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18276, 18275])).
% 16.73/11.54 tff(18278,plain,
% 16.73/11.54 (~m_main_v_state1(s226, c_t1)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18277, 539, 18274])).
% 16.73/11.54 tff(18279,plain,
% 16.73/11.54 (((~![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)))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18280,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s226, c_t1) | (~node5(s226)))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18281,plain,
% 16.73/11.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s226, c_t1) | (~node5(s226))),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18280, 18279])).
% 16.73/11.54 tff(18282,plain,
% 16.73/11.54 (~node5(s226)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18281, 550, 18278])).
% 16.73/11.54 tff(18283,plain,
% 16.73/11.54 (((~![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))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18284,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s225, s226)) | node14(s225, s226))),
% 16.73/11.54 inference(quant_inst,[status(thm)],[])).
% 16.73/11.54 tff(18285,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s225, s226)) | node14(s225, s226)),
% 16.73/11.54 inference(modus_ponens,[status(thm)],[18284, 18283])).
% 16.73/11.54 tff(18286,plain,
% 16.73/11.54 (node14(s225, s226)),
% 16.73/11.54 inference(unit_resolution,[status(thm)],[18285, 46, 18262])).
% 16.73/11.54 tff(18287,plain,
% 16.73/11.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 16.73/11.54 inference(rewrite,[status(thm)],[])).
% 16.73/11.54 tff(18288,plain,
% 16.73/11.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | (~node14(s225, s226)) | m_main_v_state2(s226, c_t2))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18289,plain,
% 16.73/11.55 ((~![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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | (~node14(s225, s226)) | m_main_v_state2(s226, c_t2)),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18288, 18287])).
% 16.73/11.55 tff(18290,plain,
% 16.73/11.55 ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state2(s226, c_t2)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18289, 922, 18286])).
% 16.73/11.55 tff(18291,plain,
% 16.73/11.55 (m_main_v_state2(s226, c_t2)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18290, 18247, 18179])).
% 16.73/11.55 tff(18292,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18293,plain,
% 16.73/11.55 ((~![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)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18294,plain,
% 16.73/11.55 ((~![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))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18293, 18292])).
% 16.73/11.55 tff(18295,plain,
% 16.73/11.55 (~m_main_v_state2(s226, c_n2)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18294, 77, 18291])).
% 16.73/11.55 tff(18296,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18297,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s226, c_n2) | (~node4(s226)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18298,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s226, c_n2) | (~node4(s226))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18297, 18296])).
% 16.73/11.55 tff(18299,plain,
% 16.73/11.55 (~node4(s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18298, 388, 18295])).
% 16.73/11.55 tff(18300,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18301,plain,
% 16.73/11.55 ((~![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)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18302,plain,
% 16.73/11.55 ((~![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))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18301, 18300])).
% 16.73/11.55 tff(18303,plain,
% 16.73/11.55 (~m_main_v_state2(s226, c_c2)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18302, 260, 18291])).
% 16.73/11.55 tff(18304,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18305,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s226, c_c2) | (~node3(s226)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18306,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s226, c_c2) | (~node3(s226))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18305, 18304])).
% 16.73/11.55 tff(18307,plain,
% 16.73/11.55 (~node3(s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18306, 399, 18303])).
% 16.73/11.55 tff(18308,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18309,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s226, c_n2) | (~node2(s226)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18310,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s226, c_n2) | (~node2(s226))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18309, 18308])).
% 16.73/11.55 tff(18311,plain,
% 16.73/11.55 (~node2(s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18310, 410, 18295])).
% 16.73/11.55 tff(18312,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18313,plain,
% 16.73/11.55 ((~![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)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18314,plain,
% 16.73/11.55 ((~![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))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18313, 18312])).
% 16.73/11.55 tff(18315,plain,
% 16.73/11.55 (~m_main_v_state1(s226, c_n1)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18314, 454, 18274])).
% 16.73/11.55 tff(18316,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18317,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s226, c_n1) | (~node1(s226)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18318,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s226, c_n1) | (~node1(s226))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18317, 18316])).
% 16.73/11.55 tff(18319,plain,
% 16.73/11.55 (~node1(s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18318, 421, 18315])).
% 16.73/11.55 tff(18320,plain,
% 16.73/11.55 (succ(s226, s227) <=> succ(s226, s227)),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18321,axiom,(succ(s226, s227)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound227')).
% 16.73/11.55 tff(18322,plain,
% 16.73/11.55 (succ(s226, s227)),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18321, 18320])).
% 16.73/11.55 tff(18323,plain,
% 16.73/11.55 (((~![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))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18324,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18325,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227)),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18324, 18323])).
% 16.73/11.55 tff(18326,plain,
% 16.73/11.55 (trans(s226, s227)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18325, 18322, 32])).
% 16.73/11.55 tff(18327,plain,
% 16.73/11.55 (((~![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))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18328,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s226, s227)) | node7(s226, s227))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18329,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s226, s227)) | node7(s226, s227)),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18328, 18327])).
% 16.73/11.55 tff(18330,plain,
% 16.73/11.55 (node7(s226, s227)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18329, 206, 18326])).
% 16.73/11.55 tff(18331,plain,
% 16.73/11.55 (((~![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(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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18332,plain,
% 16.73/11.55 (((~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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18333,plain,
% 16.73/11.55 (((~![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(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))))),
% 16.73/11.55 inference(monotonicity,[status(thm)],[18332])).
% 16.73/11.55 tff(18334,plain,
% 16.73/11.55 (((~![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(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)))),
% 16.73/11.55 inference(transitivity,[status(thm)],[18333, 18331])).
% 16.73/11.55 tff(18335,plain,
% 16.73/11.55 ((~![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(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)) | m_main_v_state1(s227, c_n1))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18336,plain,
% 16.73/11.55 ((~![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(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18335, 18334])).
% 16.73/11.55 tff(18337,plain,
% 16.73/11.55 (m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18336, 584, 18330])).
% 16.73/11.55 tff(18338,plain,
% 16.73/11.55 (m_main_v_state1(s227, c_n1)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18337, 18319, 18274, 18311, 18307, 18299, 18282])).
% 16.73/11.55 tff(18339,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18340,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s225, c_t2) | (~node15(s225)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18341,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s225, c_t2) | (~node15(s225))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18340, 18339])).
% 16.73/11.55 tff(18342,plain,
% 16.73/11.55 (~node15(s225)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18341, 103, 18251])).
% 16.73/11.55 tff(18343,plain,
% 16.73/11.55 (((~![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))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18344,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s225, s226)) | node18(s225, s226))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18345,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s225, s226)) | node18(s225, s226)),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18344, 18343])).
% 16.73/11.55 tff(18346,plain,
% 16.73/11.55 (node18(s225, s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18345, 125, 18262])).
% 16.73/11.55 tff(18347,plain,
% 16.73/11.55 (((~![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(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))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18348,plain,
% 16.73/11.55 (((~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))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18349,plain,
% 16.73/11.55 (((~![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(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)))),
% 16.73/11.55 inference(monotonicity,[status(thm)],[18348])).
% 16.73/11.55 tff(18350,plain,
% 16.73/11.55 (((~![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(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))),
% 16.73/11.55 inference(transitivity,[status(thm)],[18349, 18347])).
% 16.73/11.55 tff(18351,plain,
% 16.73/11.55 ((~![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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node15(s225) | (~node18(s225, s226)) | m_main_v_turn(s226, c_1))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18352,plain,
% 16.73/11.55 ((~![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(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)),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18351, 18350])).
% 16.73/11.55 tff(18353,plain,
% 16.73/11.55 (node15(s225) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18352, 992, 18346])).
% 16.73/11.55 tff(18354,plain,
% 16.73/11.55 (m_main_v_turn(s226, c_1)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18353, 18342, 18179, 18247])).
% 16.73/11.55 tff(18355,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18356,plain,
% 16.73/11.55 ((~![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)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18357,plain,
% 16.73/11.55 ((~![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))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18356, 18355])).
% 16.73/11.55 tff(18358,plain,
% 16.73/11.55 (~m_main_v_turn(s226, c_2)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18357, 156, 18354])).
% 16.73/11.55 tff(18359,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18360,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s226, c_2) | (~node12(s226)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18361,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s226, c_2) | (~node12(s226))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18360, 18359])).
% 16.73/11.55 tff(18362,plain,
% 16.73/11.55 (~node12(s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18361, 184, 18358])).
% 16.73/11.55 tff(18363,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18364,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s226, c_n2) | (~node8(s226)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18365,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s226, c_n2) | (~node8(s226))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18364, 18363])).
% 16.73/11.55 tff(18366,plain,
% 16.73/11.55 (~node8(s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18365, 271, 18295])).
% 16.73/11.55 tff(18367,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18368,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s226, c_n2) | (~node9(s226)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18369,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s226, c_n2) | (~node9(s226))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18368, 18367])).
% 16.73/11.55 tff(18370,plain,
% 16.73/11.55 (~node9(s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18369, 88, 18295])).
% 16.73/11.55 tff(18371,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18372,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s226, c_n2) | (~node10(s226)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18373,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s226, c_n2) | (~node10(s226))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18372, 18371])).
% 16.73/11.55 tff(18374,plain,
% 16.73/11.55 (~node10(s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18373, 249, 18295])).
% 16.73/11.55 tff(18375,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18376,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s226, c_n1) | (~node11(s226)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18377,plain,
% 16.73/11.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s226, c_n1) | (~node11(s226))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18376, 18375])).
% 16.73/11.55 tff(18378,plain,
% 16.73/11.55 (~node11(s226)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18377, 238, 18315])).
% 16.73/11.55 tff(18379,plain,
% 16.73/11.55 (((~![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))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18380,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s226, s227)) | node14(s226, s227))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18381,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s226, s227)) | node14(s226, s227)),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18380, 18379])).
% 16.73/11.55 tff(18382,plain,
% 16.73/11.55 (node14(s226, s227)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18381, 46, 18326])).
% 16.73/11.55 tff(18383,plain,
% 16.73/11.55 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18384,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227) | (~node14(s226, s227)))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18385,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227) | (~node14(s226, s227))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18384, 18383])).
% 16.73/11.55 tff(18386,plain,
% 16.73/11.55 (m_main_v_state2(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18385, 296, 18382])).
% 16.73/11.55 tff(18387,plain,
% 16.73/11.55 (node13(s226, s227)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18386, 18378, 18303, 18374, 18370, 18366, 18362])).
% 16.73/11.55 tff(18388,plain,
% 16.73/11.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18389,plain,
% 16.73/11.55 (((~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)))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18390,plain,
% 16.73/11.55 (((~![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))))),
% 16.73/11.55 inference(monotonicity,[status(thm)],[18389])).
% 16.73/11.55 tff(18391,plain,
% 16.73/11.55 (((~![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)))),
% 16.73/11.55 inference(transitivity,[status(thm)],[18390, 18388])).
% 16.73/11.55 tff(18392,plain,
% 16.73/11.55 ((~![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))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18393,plain,
% 16.73/11.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227))),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 16.73/11.55 tff(18394,plain,
% 16.73/11.55 (m_main_v_state2(s227, c_t2)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18393, 518, 18291, 18387])).
% 16.73/11.55 tff(18395,plain,
% 16.73/11.55 (succ(s227, s228) <=> succ(s227, s228)),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18396,axiom,(succ(s227, s228)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound228')).
% 16.73/11.55 tff(18397,plain,
% 16.73/11.55 (succ(s227, s228)),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18396, 18395])).
% 16.73/11.55 tff(18398,plain,
% 16.73/11.55 (((~![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))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18399,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18400,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228)),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18399, 18398])).
% 16.73/11.55 tff(18401,plain,
% 16.73/11.55 (trans(s227, s228)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18400, 18397, 32])).
% 16.73/11.55 tff(18402,plain,
% 16.73/11.55 (((~![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))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18403,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s227, s228)) | node7(s227, s228))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18404,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s227, s228)) | node7(s227, s228)),
% 16.73/11.55 inference(modus_ponens,[status(thm)],[18403, 18402])).
% 16.73/11.55 tff(18405,plain,
% 16.73/11.55 (node7(s227, s228)),
% 16.73/11.55 inference(unit_resolution,[status(thm)],[18404, 206, 18401])).
% 16.73/11.55 tff(18406,plain,
% 16.73/11.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.73/11.55 inference(rewrite,[status(thm)],[])).
% 16.73/11.55 tff(18407,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node7(s227, s228)) | m_main_v_state1(s228, c_t1))),
% 16.73/11.55 inference(quant_inst,[status(thm)],[])).
% 16.73/11.55 tff(18408,plain,
% 16.73/11.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node7(s227, s228)) | m_main_v_state1(s228, c_t1)),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18407, 18406])).
% 16.73/11.56 tff(18409,plain,
% 16.73/11.56 ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | m_main_v_state1(s228, c_t1)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18408, 651, 18405])).
% 16.73/11.56 tff(18410,plain,
% 16.73/11.56 (m_main_v_state1(s228, c_t1)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18409, 18394, 18338])).
% 16.73/11.56 tff(18411,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18412,plain,
% 16.73/11.56 ((~![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)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18413,plain,
% 16.73/11.56 ((~![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))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18412, 18411])).
% 16.73/11.56 tff(18414,plain,
% 16.73/11.56 (~m_main_v_state1(s228, c_n1)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18413, 10, 18410])).
% 16.73/11.56 tff(18415,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18416,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s228, c_n1) | (~node1(s228)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18417,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s228, c_n1) | (~node1(s228))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18416, 18415])).
% 16.73/11.56 tff(18418,plain,
% 16.73/11.56 (~node1(s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18417, 421, 18414])).
% 16.73/11.56 tff(18419,plain,
% 16.73/11.56 (((~![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))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18420,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s227, s228)) | node18(s227, s228))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18421,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s227, s228)) | node18(s227, s228)),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18420, 18419])).
% 16.73/11.56 tff(18422,plain,
% 16.73/11.56 (node18(s227, s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18421, 125, 18401])).
% 16.73/11.56 tff(18423,plain,
% 16.73/11.56 (((~![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(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))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18424,plain,
% 16.73/11.56 ((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node18(s227, s228)) | m_main_v_turn(s228, c_2))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18425,plain,
% 16.73/11.56 ((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node18(s227, s228)) | m_main_v_turn(s228, c_2)),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18424, 18423])).
% 16.73/11.56 tff(18426,plain,
% 16.73/11.56 ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | m_main_v_turn(s228, c_2)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18425, 760, 18422])).
% 16.73/11.56 tff(18427,plain,
% 16.73/11.56 (m_main_v_turn(s228, c_2)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18426, 18394, 18338])).
% 16.73/11.56 tff(18428,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18429,plain,
% 16.73/11.56 ((~![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)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18430,plain,
% 16.73/11.56 ((~![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))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18429, 18428])).
% 16.73/11.56 tff(18431,plain,
% 16.73/11.56 (~m_main_v_turn(s228, c_1)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18430, 156, 18427])).
% 16.73/11.56 tff(18432,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18433,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s228, c_1) | (~node5(s228)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18434,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s228, c_1) | (~node5(s228))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18433, 18432])).
% 16.73/11.56 tff(18435,plain,
% 16.73/11.56 (~node5(s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18434, 776, 18431])).
% 16.73/11.56 tff(18436,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18437,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s228, c_n1) | (~node2(s228)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18438,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s228, c_n1) | (~node2(s228))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18437, 18436])).
% 16.73/11.56 tff(18439,plain,
% 16.73/11.56 (~node2(s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18438, 787, 18414])).
% 16.73/11.56 tff(18440,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18441,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s228, c_n1) | (~node3(s228)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18442,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s228, c_n1) | (~node3(s228))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18441, 18440])).
% 16.73/11.56 tff(18443,plain,
% 16.73/11.56 (~node3(s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18442, 798, 18414])).
% 16.73/11.56 tff(18444,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18445,plain,
% 16.73/11.56 ((~![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)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18446,plain,
% 16.73/11.56 ((~![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))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18445, 18444])).
% 16.73/11.56 tff(18447,plain,
% 16.73/11.56 (~m_main_v_state1(s228, c_c1)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18446, 539, 18410])).
% 16.73/11.56 tff(18448,plain,
% 16.73/11.56 (((~![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(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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18449,plain,
% 16.73/11.56 (((~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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18450,plain,
% 16.73/11.56 (((~![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))))),
% 16.73/11.56 inference(monotonicity,[status(thm)],[18449])).
% 16.73/11.56 tff(18451,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(transitivity,[status(thm)],[18450, 18448])).
% 16.73/11.56 tff(18452,plain,
% 16.73/11.56 ((~![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)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18453,plain,
% 16.73/11.56 ((~![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(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18452, 18451])).
% 16.73/11.56 tff(18454,plain,
% 16.73/11.56 (~m_main_v_state2(s227, c_n2)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18453, 311, 18295, 18387])).
% 16.73/11.56 tff(18455,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18456,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s227, c_n2) | (~node9(s227)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18457,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s227, c_n2) | (~node9(s227))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18456, 18455])).
% 16.73/11.56 tff(18458,plain,
% 16.73/11.56 (~node9(s227)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18457, 88, 18454])).
% 16.73/11.56 tff(18459,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18460,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s227, c_n2) | (~node10(s227)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18461,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s227, c_n2) | (~node10(s227))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18460, 18459])).
% 16.73/11.56 tff(18462,plain,
% 16.73/11.56 (~node10(s227)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18461, 249, 18454])).
% 16.73/11.56 tff(18463,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18464,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s227, c_n2) | (~node8(s227)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18465,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s227, c_n2) | (~node8(s227))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18464, 18463])).
% 16.73/11.56 tff(18466,plain,
% 16.73/11.56 (~node8(s227)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18465, 271, 18454])).
% 16.73/11.56 tff(18467,plain,
% 16.73/11.56 (((~![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))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18468,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s227, s228)) | node14(s227, s228))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18469,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s227, s228)) | node14(s227, s228)),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18468, 18467])).
% 16.73/11.56 tff(18470,plain,
% 16.73/11.56 (node14(s227, s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18469, 46, 18401])).
% 16.73/11.56 tff(18471,plain,
% 16.73/11.56 (((~![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(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))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18472,plain,
% 16.73/11.56 ((~![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(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))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18473,plain,
% 16.73/11.56 ((~![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(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)),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18472, 18471])).
% 16.73/11.56 tff(18474,plain,
% 16.73/11.56 ((~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)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18473, 617, 18470])).
% 16.73/11.56 tff(18475,plain,
% 16.73/11.56 (m_main_v_state2(s228, c_c2)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18474, 18466, 18338, 18394, 18462, 18458])).
% 16.73/11.56 tff(18476,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18477,plain,
% 16.73/11.56 ((~![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)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18478,plain,
% 16.73/11.56 ((~![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))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18477, 18476])).
% 16.73/11.56 tff(18479,plain,
% 16.73/11.56 (~m_main_v_state2(s228, c_n2)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18478, 697, 18475])).
% 16.73/11.56 tff(18480,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18481,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s228, c_n2) | (~node4(s228)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18482,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s228, c_n2) | (~node4(s228))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 16.73/11.56 tff(18483,plain,
% 16.73/11.56 (~node4(s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18482, 388, 18479])).
% 16.73/11.56 tff(18484,plain,
% 16.73/11.56 (succ(s228, s229) <=> succ(s228, s229)),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18485,axiom,(succ(s228, s229)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound229')).
% 16.73/11.56 tff(18486,plain,
% 16.73/11.56 (succ(s228, s229)),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18485, 18484])).
% 16.73/11.56 tff(18487,plain,
% 16.73/11.56 (((~![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))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18488,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18489,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229)),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18488, 18487])).
% 16.73/11.56 tff(18490,plain,
% 16.73/11.56 (trans(s228, s229)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18489, 18486, 32])).
% 16.73/11.56 tff(18491,plain,
% 16.73/11.56 (((~![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))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18492,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s228, s229)) | node7(s228, s229))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18493,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s228, s229)) | node7(s228, s229)),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18492, 18491])).
% 16.73/11.56 tff(18494,plain,
% 16.73/11.56 (node7(s228, s229)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18493, 206, 18490])).
% 16.73/11.56 tff(18495,plain,
% 16.73/11.56 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18496,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229) | (~node7(s228, s229)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18497,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229) | (~node7(s228, s229))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18496, 18495])).
% 16.73/11.56 tff(18498,plain,
% 16.73/11.56 (m_main_v_state1(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18497, 820, 18494])).
% 16.73/11.56 tff(18499,plain,
% 16.73/11.56 (node6(s228, s229)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18498, 18483, 18447, 18443, 18439, 18435, 18418])).
% 16.73/11.56 tff(18500,plain,
% 16.73/11.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18501,plain,
% 16.73/11.56 (((~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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18502,plain,
% 16.73/11.56 (((~![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))))),
% 16.73/11.56 inference(monotonicity,[status(thm)],[18501])).
% 16.73/11.56 tff(18503,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(transitivity,[status(thm)],[18502, 18500])).
% 16.73/11.56 tff(18504,plain,
% 16.73/11.56 ((~![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))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18505,plain,
% 16.73/11.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18504, 18503])).
% 16.73/11.56 tff(18506,plain,
% 16.73/11.56 (m_main_v_state1(s229, c_t1)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18505, 856, 18410, 18499])).
% 16.73/11.56 tff(18507,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18508,plain,
% 16.73/11.56 ((~![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)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18509,plain,
% 16.73/11.56 ((~![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))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18508, 18507])).
% 16.73/11.56 tff(18510,plain,
% 16.73/11.56 (~m_main_v_state2(s228, c_t2)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18509, 260, 18475])).
% 16.73/11.56 tff(18511,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18512,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s228, c_t2) | (~node12(s228)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18513,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s228, c_t2) | (~node12(s228))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18512, 18511])).
% 16.73/11.56 tff(18514,plain,
% 16.73/11.56 (~node12(s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18513, 633, 18510])).
% 16.73/11.56 tff(18515,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18516,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s228, c_n1) | (~node11(s228)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18517,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s228, c_n1) | (~node11(s228))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18516, 18515])).
% 16.73/11.56 tff(18518,plain,
% 16.73/11.56 (~node11(s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18517, 238, 18414])).
% 16.73/11.56 tff(18519,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18520,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s228, c_c1) | (~node10(s228)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18521,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s228, c_c1) | (~node10(s228))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18520, 18519])).
% 16.73/11.56 tff(18522,plain,
% 16.73/11.56 (~node10(s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18521, 675, 18447])).
% 16.73/11.56 tff(18523,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18524,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s228, c_n1) | (~node9(s228)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18525,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s228, c_n1) | (~node9(s228))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18524, 18523])).
% 16.73/11.56 tff(18526,plain,
% 16.73/11.56 (~node9(s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18525, 686, 18414])).
% 16.73/11.56 tff(18527,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18528,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s228, c_n2) | (~node8(s228)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18529,plain,
% 16.73/11.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s228, c_n2) | (~node8(s228))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18528, 18527])).
% 16.73/11.56 tff(18530,plain,
% 16.73/11.56 (~node8(s228)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18529, 271, 18479])).
% 16.73/11.56 tff(18531,plain,
% 16.73/11.56 (((~![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))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18532,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s228, s229)) | node14(s228, s229))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18533,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s228, s229)) | node14(s228, s229)),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18532, 18531])).
% 16.73/11.56 tff(18534,plain,
% 16.73/11.56 (node14(s228, s229)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18533, 46, 18490])).
% 16.73/11.56 tff(18535,plain,
% 16.73/11.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18536,plain,
% 16.73/11.56 (((~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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18537,plain,
% 16.73/11.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.73/11.56 inference(monotonicity,[status(thm)],[18536])).
% 16.73/11.56 tff(18538,plain,
% 16.73/11.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.73/11.56 inference(transitivity,[status(thm)],[18537, 18535])).
% 16.73/11.56 tff(18539,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s228, c_c2)) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | m_main_v_state2(s229, c_n2))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18540,plain,
% 16.73/11.56 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18539, 18538])).
% 16.73/11.56 tff(18541,plain,
% 16.73/11.56 (m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~m_main_v_state2(s228, c_c2))),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18540, 726, 18534])).
% 16.73/11.56 tff(18542,plain,
% 16.73/11.56 (m_main_v_state2(s229, c_n2)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18541, 18530, 18475, 18526, 18522, 18518, 18514])).
% 16.73/11.56 tff(18543,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.56 inference(rewrite,[status(thm)],[])).
% 16.73/11.56 tff(18544,plain,
% 16.73/11.56 ((~![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)))),
% 16.73/11.56 inference(quant_inst,[status(thm)],[])).
% 16.73/11.56 tff(18545,plain,
% 16.73/11.56 ((~![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))),
% 16.73/11.56 inference(modus_ponens,[status(thm)],[18544, 18543])).
% 16.73/11.56 tff(18546,plain,
% 16.73/11.56 (~m_main_v_state2(s229, c_t2)),
% 16.73/11.56 inference(unit_resolution,[status(thm)],[18545, 77, 18542])).
% 16.73/11.56 tff(18547,plain,
% 16.73/11.56 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18548,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s229, c_t2) | (~node15(s229)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18549,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s229, c_t2) | (~node15(s229))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18548, 18547])).
% 16.73/11.57 tff(18550,plain,
% 16.73/11.57 (~node15(s229)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18549, 103, 18546])).
% 16.73/11.57 tff(18551,plain,
% 16.73/11.57 (succ(s229, s230) <=> succ(s229, s230)),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18552,axiom,(succ(s229, s230)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound230')).
% 16.73/11.57 tff(18553,plain,
% 16.73/11.57 (succ(s229, s230)),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18552, 18551])).
% 16.73/11.57 tff(18554,plain,
% 16.73/11.57 (((~![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))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18555,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18556,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230)),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18555, 18554])).
% 16.73/11.57 tff(18557,plain,
% 16.73/11.57 (trans(s229, s230)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18556, 18553, 32])).
% 16.73/11.57 tff(18558,plain,
% 16.73/11.57 (((~![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))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18559,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s229, s230)) | node18(s229, s230))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18560,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s229, s230)) | node18(s229, s230)),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18559, 18558])).
% 16.73/11.57 tff(18561,plain,
% 16.73/11.57 (node18(s229, s230)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18560, 125, 18557])).
% 16.73/11.57 tff(18562,plain,
% 16.73/11.57 (((~![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(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))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18563,plain,
% 16.73/11.57 (((~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))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18564,plain,
% 16.73/11.57 (((~![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(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)))),
% 16.73/11.57 inference(monotonicity,[status(thm)],[18563])).
% 16.73/11.57 tff(18565,plain,
% 16.73/11.57 (((~![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(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))),
% 16.73/11.57 inference(transitivity,[status(thm)],[18564, 18562])).
% 16.73/11.57 tff(18566,plain,
% 16.73/11.57 ((~![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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node15(s229) | (~node18(s229, s230)) | m_main_v_turn(s230, c_1))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18567,plain,
% 16.73/11.57 ((~![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(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)),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18566, 18565])).
% 16.73/11.57 tff(18568,plain,
% 16.73/11.57 (node15(s229) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18567, 992, 18561])).
% 16.73/11.57 tff(18569,plain,
% 16.73/11.57 (m_main_v_turn(s230, c_1)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18568, 18550, 18542, 18506])).
% 16.73/11.57 tff(18570,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18571,plain,
% 16.73/11.57 ((~![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)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18572,plain,
% 16.73/11.57 ((~![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))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18571, 18570])).
% 16.73/11.57 tff(18573,plain,
% 16.73/11.57 (~m_main_v_turn(s230, c_2)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18572, 156, 18569])).
% 16.73/11.57 tff(18574,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18575,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s230, c_2) | (~node12(s230)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18576,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s230, c_2) | (~node12(s230))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18575, 18574])).
% 16.73/11.57 tff(18577,plain,
% 16.73/11.57 (~node12(s230)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18576, 184, 18573])).
% 16.73/11.57 tff(18578,plain,
% 16.73/11.57 (((~![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))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18579,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s229, s230)) | node14(s229, s230))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18580,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s229, s230)) | node14(s229, s230)),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18579, 18578])).
% 16.73/11.57 tff(18581,plain,
% 16.73/11.57 (node14(s229, s230)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18580, 46, 18557])).
% 16.73/11.57 tff(18582,plain,
% 16.73/11.57 (((~![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(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))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18583,plain,
% 16.73/11.57 ((~![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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | (~node14(s229, s230)) | m_main_v_state2(s230, c_t2))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18584,plain,
% 16.73/11.57 ((~![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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | (~node14(s229, s230)) | m_main_v_state2(s230, c_t2)),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18583, 18582])).
% 16.73/11.57 tff(18585,plain,
% 16.73/11.57 ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state2(s230, c_t2)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18584, 922, 18581])).
% 16.73/11.57 tff(18586,plain,
% 16.73/11.57 (m_main_v_state2(s230, c_t2)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18585, 18506, 18542])).
% 16.73/11.57 tff(18587,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18588,plain,
% 16.73/11.57 ((~![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)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18589,plain,
% 16.73/11.57 ((~![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))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18588, 18587])).
% 16.73/11.57 tff(18590,plain,
% 16.73/11.57 (~m_main_v_state2(s230, c_n2)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18589, 77, 18586])).
% 16.73/11.57 tff(18591,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18592,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s230, c_n2) | (~node8(s230)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18593,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s230, c_n2) | (~node8(s230))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18592, 18591])).
% 16.73/11.57 tff(18594,plain,
% 16.73/11.57 (~node8(s230)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18593, 271, 18590])).
% 16.73/11.57 tff(18595,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18596,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s230, c_n2) | (~node9(s230)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18597,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s230, c_n2) | (~node9(s230))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18596, 18595])).
% 16.73/11.57 tff(18598,plain,
% 16.73/11.57 (~node9(s230)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18597, 88, 18590])).
% 16.73/11.57 tff(18599,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18600,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s230, c_n2) | (~node10(s230)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18601,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s230, c_n2) | (~node10(s230))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18600, 18599])).
% 16.73/11.57 tff(18602,plain,
% 16.73/11.57 (~node10(s230)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18601, 249, 18590])).
% 16.73/11.57 tff(18603,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18604,plain,
% 16.73/11.57 ((~![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)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18605,plain,
% 16.73/11.57 ((~![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))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18604, 18603])).
% 16.73/11.57 tff(18606,plain,
% 16.73/11.57 (~m_main_v_state2(s230, c_c2)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18605, 260, 18586])).
% 16.73/11.57 tff(18607,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18608,plain,
% 16.73/11.57 ((~![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)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18609,plain,
% 16.73/11.57 ((~![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))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18608, 18607])).
% 16.73/11.57 tff(18610,plain,
% 16.73/11.57 (~m_main_v_state2(s229, c_c2)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18609, 697, 18542])).
% 16.73/11.57 tff(18611,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18612,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s229, c_c2) | (~node3(s229)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18613,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s229, c_c2) | (~node3(s229))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18612, 18611])).
% 16.73/11.57 tff(18614,plain,
% 16.73/11.57 (~node3(s229)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18613, 399, 18610])).
% 16.73/11.57 tff(18615,plain,
% 16.73/11.57 (((~![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(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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18616,plain,
% 16.73/11.57 (((~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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18617,plain,
% 16.73/11.57 (((~![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))))),
% 16.73/11.57 inference(monotonicity,[status(thm)],[18616])).
% 16.73/11.57 tff(18618,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(transitivity,[status(thm)],[18617, 18615])).
% 16.73/11.57 tff(18619,plain,
% 16.73/11.57 ((~![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)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18620,plain,
% 16.73/11.57 ((~![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(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18619, 18618])).
% 16.73/11.57 tff(18621,plain,
% 16.73/11.57 (~m_main_v_state1(s229, c_n1)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18620, 835, 18414, 18499])).
% 16.73/11.57 tff(18622,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18623,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s229, c_n1) | (~node2(s229)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18624,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s229, c_n1) | (~node2(s229))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18623, 18622])).
% 16.73/11.57 tff(18625,plain,
% 16.73/11.57 (~node2(s229)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18624, 787, 18621])).
% 16.73/11.57 tff(18626,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18627,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s229, c_t2) | (~node1(s229)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18628,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s229, c_t2) | (~node1(s229))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18627, 18626])).
% 16.73/11.57 tff(18629,plain,
% 16.73/11.57 (~node1(s229)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18628, 195, 18546])).
% 16.73/11.57 tff(18630,plain,
% 16.73/11.57 (((~![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))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18631,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s229, s230)) | node7(s229, s230))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18632,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s229, s230)) | node7(s229, s230)),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18631, 18630])).
% 16.73/11.57 tff(18633,plain,
% 16.73/11.57 (node7(s229, s230)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18632, 206, 18557])).
% 16.73/11.57 tff(18634,plain,
% 16.73/11.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18635,plain,
% 16.73/11.57 (((~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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18636,plain,
% 16.73/11.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.73/11.57 inference(monotonicity,[status(thm)],[18635])).
% 16.73/11.57 tff(18637,plain,
% 16.73/11.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.73/11.57 inference(transitivity,[status(thm)],[18636, 18634])).
% 16.73/11.57 tff(18638,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18639,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18638, 18637])).
% 16.73/11.57 tff(18640,plain,
% 16.73/11.57 ((~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)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18639, 892, 18633])).
% 16.73/11.57 tff(18641,plain,
% 16.73/11.57 (m_main_v_state1(s230, c_c1)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18640, 18629, 18542, 18506, 18625, 18614])).
% 16.73/11.57 tff(18642,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18643,plain,
% 16.73/11.57 ((~![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)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18644,plain,
% 16.73/11.57 ((~![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))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18643, 18642])).
% 16.73/11.57 tff(18645,plain,
% 16.73/11.57 (~m_main_v_state1(s230, c_n1)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18644, 454, 18641])).
% 16.73/11.57 tff(18646,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18647,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s230, c_n1) | (~node11(s230)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18648,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s230, c_n1) | (~node11(s230))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18647, 18646])).
% 16.73/11.57 tff(18649,plain,
% 16.73/11.57 (~node11(s230)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18648, 238, 18645])).
% 16.73/11.57 tff(18650,plain,
% 16.73/11.57 (succ(s230, s231) <=> succ(s230, s231)),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18651,axiom,(succ(s230, s231)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound231')).
% 16.73/11.57 tff(18652,plain,
% 16.73/11.57 (succ(s230, s231)),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18651, 18650])).
% 16.73/11.57 tff(18653,plain,
% 16.73/11.57 (((~![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))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18654,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18655,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231)),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18654, 18653])).
% 16.73/11.57 tff(18656,plain,
% 16.73/11.57 (trans(s230, s231)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18655, 18652, 32])).
% 16.73/11.57 tff(18657,plain,
% 16.73/11.57 (((~![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))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18658,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s230, s231)) | node14(s230, s231))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18659,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s230, s231)) | node14(s230, s231)),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18658, 18657])).
% 16.73/11.57 tff(18660,plain,
% 16.73/11.57 (node14(s230, s231)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18659, 46, 18656])).
% 16.73/11.57 tff(18661,plain,
% 16.73/11.57 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18662,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231) | (~node14(s230, s231)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18663,plain,
% 16.73/11.57 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231) | (~node14(s230, s231))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18662, 18661])).
% 16.73/11.57 tff(18664,plain,
% 16.73/11.57 (m_main_v_state2(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18663, 296, 18660])).
% 16.73/11.57 tff(18665,plain,
% 16.73/11.57 (node13(s230, s231)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18664, 18649, 18606, 18602, 18598, 18594, 18577])).
% 16.73/11.57 tff(18666,plain,
% 16.73/11.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18667,plain,
% 16.73/11.57 (((~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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18668,plain,
% 16.73/11.57 (((~![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))))),
% 16.73/11.57 inference(monotonicity,[status(thm)],[18667])).
% 16.73/11.57 tff(18669,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(transitivity,[status(thm)],[18668, 18666])).
% 16.73/11.57 tff(18670,plain,
% 16.73/11.57 ((~![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)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18671,plain,
% 16.73/11.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18670, 18669])).
% 16.73/11.57 tff(18672,plain,
% 16.73/11.57 (~m_main_v_state2(s231, c_n2)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18671, 311, 18590, 18665])).
% 16.73/11.57 tff(18673,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18674,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s231, c_n2) | (~node9(s231)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18675,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s231, c_n2) | (~node9(s231))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18674, 18673])).
% 16.73/11.57 tff(18676,plain,
% 16.73/11.57 (~node9(s231)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18675, 88, 18672])).
% 16.73/11.57 tff(18677,plain,
% 16.73/11.57 (((~![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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18678,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s231, c_n2) | (~node10(s231)))),
% 16.73/11.57 inference(quant_inst,[status(thm)],[])).
% 16.73/11.57 tff(18679,plain,
% 16.73/11.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s231, c_n2) | (~node10(s231))),
% 16.73/11.57 inference(modus_ponens,[status(thm)],[18678, 18677])).
% 16.73/11.57 tff(18680,plain,
% 16.73/11.57 (~node10(s231)),
% 16.73/11.57 inference(unit_resolution,[status(thm)],[18679, 249, 18672])).
% 16.73/11.57 tff(18681,plain,
% 16.73/11.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 16.73/11.57 inference(rewrite,[status(thm)],[])).
% 16.73/11.57 tff(18682,plain,
% 16.73/11.57 (((~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)))),
% 16.73/11.58 inference(rewrite,[status(thm)],[])).
% 16.73/11.58 tff(18683,plain,
% 16.73/11.58 (((~![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))))),
% 16.73/11.58 inference(monotonicity,[status(thm)],[18682])).
% 16.73/11.58 tff(18684,plain,
% 16.73/11.58 (((~![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)))),
% 16.73/11.58 inference(transitivity,[status(thm)],[18683, 18681])).
% 16.73/11.58 tff(18685,plain,
% 16.73/11.58 ((~![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))),
% 16.73/11.58 inference(quant_inst,[status(thm)],[])).
% 16.73/11.58 tff(18686,plain,
% 16.73/11.58 ((~![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(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231))),
% 16.73/11.58 inference(modus_ponens,[status(thm)],[18685, 18684])).
% 16.73/11.58 tff(18687,plain,
% 16.73/11.58 (m_main_v_state2(s231, c_t2)),
% 16.73/11.58 inference(unit_resolution,[status(thm)],[18686, 518, 18586, 18665])).
% 16.73/11.58 tff(18688,plain,
% 16.73/11.58 (((~![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)))),
% 16.73/11.58 inference(rewrite,[status(thm)],[])).
% 16.73/11.58 tff(18689,plain,
% 16.73/11.58 ((~![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)))),
% 16.73/11.58 inference(quant_inst,[status(thm)],[])).
% 16.73/11.58 tff(18690,plain,
% 16.73/11.58 ((~![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))),
% 16.73/11.58 inference(modus_ponens,[status(thm)],[18689, 18688])).
% 16.73/11.58 tff(18691,plain,
% 16.73/11.58 (~m_main_v_state1(s230, c_t1)),
% 16.73/11.58 inference(unit_resolution,[status(thm)],[18690, 539, 18641])).
% 16.73/11.58 tff(18692,plain,
% 16.73/11.58 (((~![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)))),
% 16.73/11.58 inference(rewrite,[status(thm)],[])).
% 16.73/11.58 tff(18693,plain,
% 16.73/11.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s230, c_t1) | (~node5(s230)))),
% 16.73/11.58 inference(quant_inst,[status(thm)],[])).
% 16.73/11.58 tff(18694,plain,
% 16.73/11.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s230, c_t1) | (~node5(s230))),
% 16.73/11.58 inference(modus_ponens,[status(thm)],[18693, 18692])).
% 16.73/11.58 tff(18695,plain,
% 16.73/11.58 (~node5(s230)),
% 16.73/11.58 inference(unit_resolution,[status(thm)],[18694, 550, 18691])).
% 16.73/11.58 tff(18696,plain,
% 16.73/11.58 (((~![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)))),
% 16.73/11.58 inference(rewrite,[status(thm)],[])).
% 16.73/11.58 tff(18697,plain,
% 16.73/11.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s230, c_n2) | (~node4(s230)))),
% 16.73/11.58 inference(quant_inst,[status(thm)],[])).
% 16.73/11.58 tff(18698,plain,
% 16.73/11.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s230, c_n2) | (~node4(s230))),
% 16.73/11.58 inference(modus_ponens,[status(thm)],[18697, 18696])).
% 16.73/11.58 tff(18699,plain,
% 16.73/11.58 (~node4(s230)),
% 16.73/11.58 inference(unit_resolution,[status(thm)],[18698, 388, 18590])).
% 16.73/11.58 tff(18700,plain,
% 16.73/11.58 (((~![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)))),
% 16.73/11.58 inference(rewrite,[status(thm)],[])).
% 16.73/11.58 tff(18701,plain,
% 16.73/11.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s230, c_c2) | (~node3(s230)))),
% 16.73/11.58 inference(quant_inst,[status(thm)],[])).
% 16.73/11.58 tff(18702,plain,
% 16.73/11.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s230, c_c2) | (~node3(s230))),
% 16.73/11.58 inference(modus_ponens,[status(thm)],[18701, 18700])).
% 16.73/11.58 tff(18703,plain,
% 16.73/11.58 (~node3(s230)),
% 16.73/11.58 inference(unit_resolution,[status(thm)],[18702, 399, 18606])).
% 16.73/11.58 tff(18704,plain,
% 16.73/11.58 (((~![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)))),
% 16.73/11.58 inference(rewrite,[status(thm)],[])).
% 16.73/11.58 tff(18705,plain,
% 16.73/11.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s230, c_n2) | (~node2(s230)))),
% 16.73/11.58 inference(quant_inst,[status(thm)],[])).
% 16.73/11.58 tff(18706,plain,
% 16.73/11.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s230, c_n2) | (~node2(s230))),
% 16.73/11.58 inference(modus_ponens,[status(thm)],[18705, 18704])).
% 16.73/11.58 tff(18707,plain,
% 16.73/11.58 (~node2(s230)),
% 16.73/11.58 inference(unit_resolution,[status(thm)],[18706, 410, 18590])).
% 16.73/11.58 tff(18708,plain,
% 16.73/11.58 (((~![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)))),
% 16.73/11.58 inference(rewrite,[status(thm)],[])).
% 16.73/11.58 tff(18709,plain,
% 16.73/11.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s230, c_n1) | (~node1(s230)))),
% 16.73/11.58 inference(quant_inst,[status(thm)],[])).
% 16.73/11.58 tff(18710,plain,
% 16.73/11.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s230, c_n1) | (~node1(s230))),
% 16.73/11.58 inference(modus_ponens,[status(thm)],[18709, 18708])).
% 16.73/11.58 tff(18711,plain,
% 16.73/11.58 (~node1(s230)),
% 16.73/11.58 inference(unit_resolution,[status(thm)],[18710, 421, 18645])).
% 16.73/11.58 tff(18712,plain,
% 16.73/11.58 (((~![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))),
% 16.73/11.58 inference(rewrite,[status(thm)],[])).
% 16.73/11.58 tff(18713,plain,
% 16.73/11.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s230, s231)) | node7(s230, s231))),
% 16.73/11.58 inference(quant_inst,[status(thm)],[])).
% 16.73/11.58 tff(18714,plain,
% 16.73/11.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s230, s231)) | node7(s230, s231)),
% 16.73/11.58 inference(modus_ponens,[status(thm)],[18713, 18712])).
% 16.73/11.58 tff(18715,plain,
% 16.73/11.58 (node7(s230, s231)),
% 16.73/11.58 inference(unit_resolution,[status(thm)],[18714, 206, 18656])).
% 16.73/11.58 tff(18716,plain,
% 16.73/11.58 (((~![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(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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18717,plain,
% 16.78/11.58 (((~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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18718,plain,
% 16.78/11.58 (((~![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(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))))),
% 16.78/11.58 inference(monotonicity,[status(thm)],[18717])).
% 16.78/11.58 tff(18719,plain,
% 16.78/11.58 (((~![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(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)))),
% 16.78/11.58 inference(transitivity,[status(thm)],[18718, 18716])).
% 16.78/11.58 tff(18720,plain,
% 16.78/11.58 ((~![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(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)) | m_main_v_state1(s231, c_n1))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18721,plain,
% 16.78/11.58 ((~![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(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18720, 18719])).
% 16.78/11.58 tff(18722,plain,
% 16.78/11.58 (m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18721, 584, 18715])).
% 16.78/11.58 tff(18723,plain,
% 16.78/11.58 (m_main_v_state1(s231, c_n1)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18722, 18711, 18641, 18707, 18703, 18699, 18695])).
% 16.78/11.58 tff(18724,plain,
% 16.78/11.58 (((~![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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18725,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s231, c_n2) | (~node8(s231)))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18726,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s231, c_n2) | (~node8(s231))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18725, 18724])).
% 16.78/11.58 tff(18727,plain,
% 16.78/11.58 (~node8(s231)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18726, 271, 18672])).
% 16.78/11.58 tff(18728,plain,
% 16.78/11.58 (succ(s231, s232) <=> succ(s231, s232)),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18729,axiom,(succ(s231, s232)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound232')).
% 16.78/11.58 tff(18730,plain,
% 16.78/11.58 (succ(s231, s232)),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18729, 18728])).
% 16.78/11.58 tff(18731,plain,
% 16.78/11.58 (((~![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))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18732,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18733,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232)),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18732, 18731])).
% 16.78/11.58 tff(18734,plain,
% 16.78/11.58 (trans(s231, s232)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18733, 18730, 32])).
% 16.78/11.58 tff(18735,plain,
% 16.78/11.58 (((~![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))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18736,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s231, s232)) | node14(s231, s232))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18737,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s231, s232)) | node14(s231, s232)),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18736, 18735])).
% 16.78/11.58 tff(18738,plain,
% 16.78/11.58 (node14(s231, s232)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18737, 46, 18734])).
% 16.78/11.58 tff(18739,plain,
% 16.78/11.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18740,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18741,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18740, 18739])).
% 16.78/11.58 tff(18742,plain,
% 16.78/11.58 ((~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)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18741, 617, 18738])).
% 16.78/11.58 tff(18743,plain,
% 16.78/11.58 (m_main_v_state2(s232, c_c2)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18742, 18727, 18723, 18687, 18680, 18676])).
% 16.78/11.58 tff(18744,plain,
% 16.78/11.58 (((~![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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18745,plain,
% 16.78/11.58 ((~![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)))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18746,plain,
% 16.78/11.58 ((~![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))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18745, 18744])).
% 16.78/11.58 tff(18747,plain,
% 16.78/11.58 (~m_main_v_state2(s232, c_t2)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18746, 260, 18743])).
% 16.78/11.58 tff(18748,plain,
% 16.78/11.58 (((~![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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18749,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s232, c_t2) | (~node12(s232)))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18750,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s232, c_t2) | (~node12(s232))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18749, 18748])).
% 16.78/11.58 tff(18751,plain,
% 16.78/11.58 (~node12(s232)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18750, 633, 18747])).
% 16.78/11.58 tff(18752,plain,
% 16.78/11.58 (((~![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))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18753,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s231, s232)) | node7(s231, s232))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18754,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s231, s232)) | node7(s231, s232)),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18753, 18752])).
% 16.78/11.58 tff(18755,plain,
% 16.78/11.58 (node7(s231, s232)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18754, 206, 18734])).
% 16.78/11.58 tff(18756,plain,
% 16.78/11.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18757,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node7(s231, s232)) | m_main_v_state1(s232, c_t1))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18758,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node7(s231, s232)) | m_main_v_state1(s232, c_t1)),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18757, 18756])).
% 16.78/11.58 tff(18759,plain,
% 16.78/11.58 ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | m_main_v_state1(s232, c_t1)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18758, 651, 18755])).
% 16.78/11.58 tff(18760,plain,
% 16.78/11.58 (m_main_v_state1(s232, c_t1)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18759, 18687, 18723])).
% 16.78/11.58 tff(18761,plain,
% 16.78/11.58 (((~![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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18762,plain,
% 16.78/11.58 ((~![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)))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18763,plain,
% 16.78/11.58 ((~![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))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18762, 18761])).
% 16.78/11.58 tff(18764,plain,
% 16.78/11.58 (~m_main_v_state1(s232, c_n1)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18763, 10, 18760])).
% 16.78/11.58 tff(18765,plain,
% 16.78/11.58 (((~![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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18766,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s232, c_n1) | (~node11(s232)))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18767,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s232, c_n1) | (~node11(s232))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18766, 18765])).
% 16.78/11.58 tff(18768,plain,
% 16.78/11.58 (~node11(s232)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18767, 238, 18764])).
% 16.78/11.58 tff(18769,plain,
% 16.78/11.58 (((~![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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18770,plain,
% 16.78/11.58 ((~![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)))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18771,plain,
% 16.78/11.58 ((~![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))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18770, 18769])).
% 16.78/11.58 tff(18772,plain,
% 16.78/11.58 (~m_main_v_state1(s232, c_c1)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18771, 539, 18760])).
% 16.78/11.58 tff(18773,plain,
% 16.78/11.58 (((~![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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18774,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s232, c_c1) | (~node10(s232)))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18775,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s232, c_c1) | (~node10(s232))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18774, 18773])).
% 16.78/11.58 tff(18776,plain,
% 16.78/11.58 (~node10(s232)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18775, 675, 18772])).
% 16.78/11.58 tff(18777,plain,
% 16.78/11.58 (((~![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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18778,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s232, c_n1) | (~node9(s232)))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18779,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s232, c_n1) | (~node9(s232))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18778, 18777])).
% 16.78/11.58 tff(18780,plain,
% 16.78/11.58 (~node9(s232)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18779, 686, 18764])).
% 16.78/11.58 tff(18781,plain,
% 16.78/11.58 (((~![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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18782,plain,
% 16.78/11.58 ((~![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)))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18783,plain,
% 16.78/11.58 ((~![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))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18782, 18781])).
% 16.78/11.58 tff(18784,plain,
% 16.78/11.58 (~m_main_v_state2(s232, c_n2)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18783, 697, 18743])).
% 16.78/11.58 tff(18785,plain,
% 16.78/11.58 (((~![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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18786,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s232, c_n2) | (~node8(s232)))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18787,plain,
% 16.78/11.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s232, c_n2) | (~node8(s232))),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18786, 18785])).
% 16.78/11.58 tff(18788,plain,
% 16.78/11.58 (~node8(s232)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18787, 271, 18784])).
% 16.78/11.58 tff(18789,plain,
% 16.78/11.58 (succ(s232, s233) <=> succ(s232, s233)),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18790,axiom,(succ(s232, s233)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound233')).
% 16.78/11.58 tff(18791,plain,
% 16.78/11.58 (succ(s232, s233)),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18790, 18789])).
% 16.78/11.58 tff(18792,plain,
% 16.78/11.58 (((~![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))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18793,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18794,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233)),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18793, 18792])).
% 16.78/11.58 tff(18795,plain,
% 16.78/11.58 (trans(s232, s233)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18794, 18791, 32])).
% 16.78/11.58 tff(18796,plain,
% 16.78/11.58 (((~![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))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18797,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s232, s233)) | node14(s232, s233))),
% 16.78/11.58 inference(quant_inst,[status(thm)],[])).
% 16.78/11.58 tff(18798,plain,
% 16.78/11.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s232, s233)) | node14(s232, s233)),
% 16.78/11.58 inference(modus_ponens,[status(thm)],[18797, 18796])).
% 16.78/11.58 tff(18799,plain,
% 16.78/11.58 (node14(s232, s233)),
% 16.78/11.58 inference(unit_resolution,[status(thm)],[18798, 46, 18795])).
% 16.78/11.58 tff(18800,plain,
% 16.78/11.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18801,plain,
% 16.78/11.58 (((~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)))),
% 16.78/11.58 inference(rewrite,[status(thm)],[])).
% 16.78/11.58 tff(18802,plain,
% 16.78/11.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.78/11.58 inference(monotonicity,[status(thm)],[18801])).
% 16.78/11.58 tff(18803,plain,
% 16.78/11.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.78/11.59 inference(transitivity,[status(thm)],[18802, 18800])).
% 16.78/11.59 tff(18804,plain,
% 16.78/11.59 ((~![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(s232, c_c2)) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | m_main_v_state2(s233, c_n2))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18805,plain,
% 16.78/11.59 ((~![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(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18804, 18803])).
% 16.78/11.59 tff(18806,plain,
% 16.78/11.59 (m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~m_main_v_state2(s232, c_c2))),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18805, 726, 18799])).
% 16.78/11.59 tff(18807,plain,
% 16.78/11.59 (m_main_v_state2(s233, c_n2)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18806, 18788, 18743, 18780, 18776, 18768, 18751])).
% 16.78/11.59 tff(18808,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18809,plain,
% 16.78/11.59 ((~![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)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18810,plain,
% 16.78/11.59 ((~![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))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18809, 18808])).
% 16.78/11.59 tff(18811,plain,
% 16.78/11.59 (~m_main_v_state2(s233, c_c2)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18810, 697, 18807])).
% 16.78/11.59 tff(18812,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18813,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s233, c_c2) | (~node3(s233)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18814,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s233, c_c2) | (~node3(s233))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18813, 18812])).
% 16.78/11.59 tff(18815,plain,
% 16.78/11.59 (~node3(s233)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18814, 399, 18811])).
% 16.78/11.59 tff(18816,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18817,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s232, c_n1) | (~node1(s232)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18818,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s232, c_n1) | (~node1(s232))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18817, 18816])).
% 16.78/11.59 tff(18819,plain,
% 16.78/11.59 (~node1(s232)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18818, 421, 18764])).
% 16.78/11.59 tff(18820,plain,
% 16.78/11.59 (((~![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))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18821,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s231, s232)) | node18(s231, s232))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18822,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s231, s232)) | node18(s231, s232)),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18821, 18820])).
% 16.78/11.59 tff(18823,plain,
% 16.78/11.59 (node18(s231, s232)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18822, 125, 18734])).
% 16.78/11.59 tff(18824,plain,
% 16.78/11.59 (((~![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(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))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18825,plain,
% 16.78/11.59 ((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node18(s231, s232)) | m_main_v_turn(s232, c_2))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18826,plain,
% 16.78/11.59 ((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node18(s231, s232)) | m_main_v_turn(s232, c_2)),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18825, 18824])).
% 16.78/11.59 tff(18827,plain,
% 16.78/11.59 ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | m_main_v_turn(s232, c_2)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18826, 760, 18823])).
% 16.78/11.59 tff(18828,plain,
% 16.78/11.59 (m_main_v_turn(s232, c_2)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18827, 18687, 18723])).
% 16.78/11.59 tff(18829,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18830,plain,
% 16.78/11.59 ((~![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)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18831,plain,
% 16.78/11.59 ((~![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))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18830, 18829])).
% 16.78/11.59 tff(18832,plain,
% 16.78/11.59 (~m_main_v_turn(s232, c_1)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18831, 156, 18828])).
% 16.78/11.59 tff(18833,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18834,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s232, c_1) | (~node5(s232)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18835,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s232, c_1) | (~node5(s232))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18834, 18833])).
% 16.78/11.59 tff(18836,plain,
% 16.78/11.59 (~node5(s232)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18835, 776, 18832])).
% 16.78/11.59 tff(18837,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18838,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s232, c_n1) | (~node2(s232)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18839,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s232, c_n1) | (~node2(s232))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18838, 18837])).
% 16.78/11.59 tff(18840,plain,
% 16.78/11.59 (~node2(s232)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18839, 787, 18764])).
% 16.78/11.59 tff(18841,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18842,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s232, c_n1) | (~node3(s232)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18843,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s232, c_n1) | (~node3(s232))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18842, 18841])).
% 16.78/11.59 tff(18844,plain,
% 16.78/11.59 (~node3(s232)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18843, 798, 18764])).
% 16.78/11.59 tff(18845,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18846,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s232, c_n2) | (~node4(s232)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18847,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s232, c_n2) | (~node4(s232))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18846, 18845])).
% 16.78/11.59 tff(18848,plain,
% 16.78/11.59 (~node4(s232)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18847, 388, 18784])).
% 16.78/11.59 tff(18849,plain,
% 16.78/11.59 (((~![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))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18850,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s232, s233)) | node7(s232, s233))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18851,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s232, s233)) | node7(s232, s233)),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18850, 18849])).
% 16.78/11.59 tff(18852,plain,
% 16.78/11.59 (node7(s232, s233)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18851, 206, 18795])).
% 16.78/11.59 tff(18853,plain,
% 16.78/11.59 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18854,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233) | (~node7(s232, s233)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18855,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233) | (~node7(s232, s233))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18854, 18853])).
% 16.78/11.59 tff(18856,plain,
% 16.78/11.59 (m_main_v_state1(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18855, 820, 18852])).
% 16.78/11.59 tff(18857,plain,
% 16.78/11.59 (node6(s232, s233)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18856, 18848, 18772, 18844, 18840, 18836, 18819])).
% 16.78/11.59 tff(18858,plain,
% 16.78/11.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18859,plain,
% 16.78/11.59 (((~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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18860,plain,
% 16.78/11.59 (((~![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))))),
% 16.78/11.59 inference(monotonicity,[status(thm)],[18859])).
% 16.78/11.59 tff(18861,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(transitivity,[status(thm)],[18860, 18858])).
% 16.78/11.59 tff(18862,plain,
% 16.78/11.59 ((~![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)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18863,plain,
% 16.78/11.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18862, 18861])).
% 16.78/11.59 tff(18864,plain,
% 16.78/11.59 (~m_main_v_state1(s233, c_n1)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18863, 835, 18764, 18857])).
% 16.78/11.59 tff(18865,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18866,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s233, c_n1) | (~node2(s233)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18867,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s233, c_n1) | (~node2(s233))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18866, 18865])).
% 16.78/11.59 tff(18868,plain,
% 16.78/11.59 (~node2(s233)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18867, 787, 18864])).
% 16.78/11.59 tff(18869,plain,
% 16.78/11.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18870,plain,
% 16.78/11.59 (((~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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18871,plain,
% 16.78/11.59 (((~![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))))),
% 16.78/11.59 inference(monotonicity,[status(thm)],[18870])).
% 16.78/11.59 tff(18872,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(transitivity,[status(thm)],[18871, 18869])).
% 16.78/11.59 tff(18873,plain,
% 16.78/11.59 ((~![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))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18874,plain,
% 16.78/11.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18873, 18872])).
% 16.78/11.59 tff(18875,plain,
% 16.78/11.59 (m_main_v_state1(s233, c_t1)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18874, 856, 18760, 18857])).
% 16.78/11.59 tff(18876,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18877,plain,
% 16.78/11.59 ((~![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)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18878,plain,
% 16.78/11.59 ((~![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))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18877, 18876])).
% 16.78/11.59 tff(18879,plain,
% 16.78/11.59 (~m_main_v_state2(s233, c_t2)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18878, 77, 18807])).
% 16.78/11.59 tff(18880,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18881,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s233, c_t2) | (~node1(s233)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18882,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s233, c_t2) | (~node1(s233))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18881, 18880])).
% 16.78/11.59 tff(18883,plain,
% 16.78/11.59 (~node1(s233)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18882, 195, 18879])).
% 16.78/11.59 tff(18884,plain,
% 16.78/11.59 (succ(s233, s234) <=> succ(s233, s234)),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18885,axiom,(succ(s233, s234)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound234')).
% 16.78/11.59 tff(18886,plain,
% 16.78/11.59 (succ(s233, s234)),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18885, 18884])).
% 16.78/11.59 tff(18887,plain,
% 16.78/11.59 (((~![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))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18888,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18889,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234)),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18888, 18887])).
% 16.78/11.59 tff(18890,plain,
% 16.78/11.59 (trans(s233, s234)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18889, 18886, 32])).
% 16.78/11.59 tff(18891,plain,
% 16.78/11.59 (((~![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))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18892,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s233, s234)) | node7(s233, s234))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18893,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s233, s234)) | node7(s233, s234)),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18892, 18891])).
% 16.78/11.59 tff(18894,plain,
% 16.78/11.59 (node7(s233, s234)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18893, 206, 18890])).
% 16.78/11.59 tff(18895,plain,
% 16.78/11.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18896,plain,
% 16.78/11.59 (((~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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18897,plain,
% 16.78/11.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.78/11.59 inference(monotonicity,[status(thm)],[18896])).
% 16.78/11.59 tff(18898,plain,
% 16.78/11.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.78/11.59 inference(transitivity,[status(thm)],[18897, 18895])).
% 16.78/11.59 tff(18899,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18900,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18899, 18898])).
% 16.78/11.59 tff(18901,plain,
% 16.78/11.59 ((~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)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18900, 892, 18894])).
% 16.78/11.59 tff(18902,plain,
% 16.78/11.59 (m_main_v_state1(s234, c_c1)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18901, 18883, 18807, 18875, 18868, 18815])).
% 16.78/11.59 tff(18903,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18904,plain,
% 16.78/11.59 ((~![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)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18905,plain,
% 16.78/11.59 ((~![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))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18904, 18903])).
% 16.78/11.59 tff(18906,plain,
% 16.78/11.59 (~m_main_v_state1(s234, c_t1)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18905, 539, 18902])).
% 16.78/11.59 tff(18907,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18908,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s234, c_t1) | (~node5(s234)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18909,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s234, c_t1) | (~node5(s234))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18908, 18907])).
% 16.78/11.59 tff(18910,plain,
% 16.78/11.59 (~node5(s234)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18909, 550, 18906])).
% 16.78/11.59 tff(18911,plain,
% 16.78/11.59 (((~![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))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18912,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s233, s234)) | node14(s233, s234))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18913,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s233, s234)) | node14(s233, s234)),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18912, 18911])).
% 16.78/11.59 tff(18914,plain,
% 16.78/11.59 (node14(s233, s234)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18913, 46, 18890])).
% 16.78/11.59 tff(18915,plain,
% 16.78/11.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18916,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | (~node14(s233, s234)) | m_main_v_state2(s234, c_t2))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18917,plain,
% 16.78/11.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | (~node14(s233, s234)) | m_main_v_state2(s234, c_t2)),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18916, 18915])).
% 16.78/11.59 tff(18918,plain,
% 16.78/11.59 ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state2(s234, c_t2)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18917, 922, 18914])).
% 16.78/11.59 tff(18919,plain,
% 16.78/11.59 (m_main_v_state2(s234, c_t2)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18918, 18875, 18807])).
% 16.78/11.59 tff(18920,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18921,plain,
% 16.78/11.59 ((~![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)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18922,plain,
% 16.78/11.59 ((~![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))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18921, 18920])).
% 16.78/11.59 tff(18923,plain,
% 16.78/11.59 (~m_main_v_state2(s234, c_n2)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18922, 77, 18919])).
% 16.78/11.59 tff(18924,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18925,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s234, c_n2) | (~node4(s234)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18926,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s234, c_n2) | (~node4(s234))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18925, 18924])).
% 16.78/11.59 tff(18927,plain,
% 16.78/11.59 (~node4(s234)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18926, 388, 18923])).
% 16.78/11.59 tff(18928,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18929,plain,
% 16.78/11.59 ((~![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)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18930,plain,
% 16.78/11.59 ((~![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))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18929, 18928])).
% 16.78/11.59 tff(18931,plain,
% 16.78/11.59 (~m_main_v_state2(s234, c_c2)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18930, 260, 18919])).
% 16.78/11.59 tff(18932,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18933,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s234, c_c2) | (~node3(s234)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18934,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s234, c_c2) | (~node3(s234))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18933, 18932])).
% 16.78/11.59 tff(18935,plain,
% 16.78/11.59 (~node3(s234)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18934, 399, 18931])).
% 16.78/11.59 tff(18936,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.59 inference(rewrite,[status(thm)],[])).
% 16.78/11.59 tff(18937,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s234, c_n2) | (~node2(s234)))),
% 16.78/11.59 inference(quant_inst,[status(thm)],[])).
% 16.78/11.59 tff(18938,plain,
% 16.78/11.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s234, c_n2) | (~node2(s234))),
% 16.78/11.59 inference(modus_ponens,[status(thm)],[18937, 18936])).
% 16.78/11.59 tff(18939,plain,
% 16.78/11.59 (~node2(s234)),
% 16.78/11.59 inference(unit_resolution,[status(thm)],[18938, 410, 18923])).
% 16.78/11.59 tff(18940,plain,
% 16.78/11.59 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18941,plain,
% 16.78/11.60 ((~![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)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18942,plain,
% 16.78/11.60 ((~![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))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18941, 18940])).
% 16.78/11.60 tff(18943,plain,
% 16.78/11.60 (~m_main_v_state1(s234, c_n1)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18942, 454, 18902])).
% 16.78/11.60 tff(18944,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18945,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s234, c_n1) | (~node1(s234)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18946,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s234, c_n1) | (~node1(s234))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18945, 18944])).
% 16.78/11.60 tff(18947,plain,
% 16.78/11.60 (~node1(s234)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18946, 421, 18943])).
% 16.78/11.60 tff(18948,plain,
% 16.78/11.60 (succ(s234, s235) <=> succ(s234, s235)),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18949,axiom,(succ(s234, s235)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound235')).
% 16.78/11.60 tff(18950,plain,
% 16.78/11.60 (succ(s234, s235)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18949, 18948])).
% 16.78/11.60 tff(18951,plain,
% 16.78/11.60 (((~![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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18952,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18953,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18952, 18951])).
% 16.78/11.60 tff(18954,plain,
% 16.78/11.60 (trans(s234, s235)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18953, 18950, 32])).
% 16.78/11.60 tff(18955,plain,
% 16.78/11.60 (((~![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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18956,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s234, s235)) | node7(s234, s235))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18957,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s234, s235)) | node7(s234, s235)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18956, 18955])).
% 16.78/11.60 tff(18958,plain,
% 16.78/11.60 (node7(s234, s235)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18957, 206, 18954])).
% 16.78/11.60 tff(18959,plain,
% 16.78/11.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18960,plain,
% 16.78/11.60 (((~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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18961,plain,
% 16.78/11.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 16.78/11.60 inference(monotonicity,[status(thm)],[18960])).
% 16.78/11.60 tff(18962,plain,
% 16.78/11.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 16.78/11.60 inference(transitivity,[status(thm)],[18961, 18959])).
% 16.78/11.60 tff(18963,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)) | m_main_v_state1(s235, c_n1))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18964,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18963, 18962])).
% 16.78/11.60 tff(18965,plain,
% 16.78/11.60 (m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18964, 584, 18958])).
% 16.78/11.60 tff(18966,plain,
% 16.78/11.60 (m_main_v_state1(s235, c_n1)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18965, 18947, 18902, 18939, 18935, 18927, 18910])).
% 16.78/11.60 tff(18967,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18968,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s233, c_t2) | (~node15(s233)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18969,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s233, c_t2) | (~node15(s233))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18968, 18967])).
% 16.78/11.60 tff(18970,plain,
% 16.78/11.60 (~node15(s233)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18969, 103, 18879])).
% 16.78/11.60 tff(18971,plain,
% 16.78/11.60 (((~![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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18972,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s233, s234)) | node18(s233, s234))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18973,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s233, s234)) | node18(s233, s234)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18972, 18971])).
% 16.78/11.60 tff(18974,plain,
% 16.78/11.60 (node18(s233, s234)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18973, 125, 18890])).
% 16.78/11.60 tff(18975,plain,
% 16.78/11.60 (((~![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(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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18976,plain,
% 16.78/11.60 (((~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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18977,plain,
% 16.78/11.60 (((~![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(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)))),
% 16.78/11.60 inference(monotonicity,[status(thm)],[18976])).
% 16.78/11.60 tff(18978,plain,
% 16.78/11.60 (((~![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(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))),
% 16.78/11.60 inference(transitivity,[status(thm)],[18977, 18975])).
% 16.78/11.60 tff(18979,plain,
% 16.78/11.60 ((~![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(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node15(s233) | (~node18(s233, s234)) | m_main_v_turn(s234, c_1))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18980,plain,
% 16.78/11.60 ((~![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(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)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18979, 18978])).
% 16.78/11.60 tff(18981,plain,
% 16.78/11.60 (node15(s233) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18980, 992, 18974])).
% 16.78/11.60 tff(18982,plain,
% 16.78/11.60 (m_main_v_turn(s234, c_1)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18981, 18970, 18807, 18875])).
% 16.78/11.60 tff(18983,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18984,plain,
% 16.78/11.60 ((~![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)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18985,plain,
% 16.78/11.60 ((~![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))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18984, 18983])).
% 16.78/11.60 tff(18986,plain,
% 16.78/11.60 (~m_main_v_turn(s234, c_2)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18985, 156, 18982])).
% 16.78/11.60 tff(18987,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18988,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s234, c_2) | (~node12(s234)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18989,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s234, c_2) | (~node12(s234))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18988, 18987])).
% 16.78/11.60 tff(18990,plain,
% 16.78/11.60 (~node12(s234)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18989, 184, 18986])).
% 16.78/11.60 tff(18991,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18992,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s234, c_n2) | (~node8(s234)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18993,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s234, c_n2) | (~node8(s234))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18992, 18991])).
% 16.78/11.60 tff(18994,plain,
% 16.78/11.60 (~node8(s234)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18993, 271, 18923])).
% 16.78/11.60 tff(18995,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(18996,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s234, c_n2) | (~node9(s234)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(18997,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s234, c_n2) | (~node9(s234))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[18996, 18995])).
% 16.78/11.60 tff(18998,plain,
% 16.78/11.60 (~node9(s234)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[18997, 88, 18923])).
% 16.78/11.60 tff(18999,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19000,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s234, c_n2) | (~node10(s234)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19001,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s234, c_n2) | (~node10(s234))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19000, 18999])).
% 16.78/11.60 tff(19002,plain,
% 16.78/11.60 (~node10(s234)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19001, 249, 18923])).
% 16.78/11.60 tff(19003,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19004,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s234, c_n1) | (~node11(s234)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19005,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s234, c_n1) | (~node11(s234))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19004, 19003])).
% 16.78/11.60 tff(19006,plain,
% 16.78/11.60 (~node11(s234)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19005, 238, 18943])).
% 16.78/11.60 tff(19007,plain,
% 16.78/11.60 (((~![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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19008,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s234, s235)) | node14(s234, s235))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19009,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s234, s235)) | node14(s234, s235)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19008, 19007])).
% 16.78/11.60 tff(19010,plain,
% 16.78/11.60 (node14(s234, s235)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19009, 46, 18954])).
% 16.78/11.60 tff(19011,plain,
% 16.78/11.60 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19012,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235) | (~node14(s234, s235)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19013,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235) | (~node14(s234, s235))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19012, 19011])).
% 16.78/11.60 tff(19014,plain,
% 16.78/11.60 (m_main_v_state2(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19013, 296, 19010])).
% 16.78/11.60 tff(19015,plain,
% 16.78/11.60 (node13(s234, s235)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19014, 19006, 18931, 19002, 18998, 18994, 18990])).
% 16.78/11.60 tff(19016,plain,
% 16.78/11.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19017,plain,
% 16.78/11.60 (((~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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19018,plain,
% 16.78/11.60 (((~![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))))),
% 16.78/11.60 inference(monotonicity,[status(thm)],[19017])).
% 16.78/11.60 tff(19019,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(transitivity,[status(thm)],[19018, 19016])).
% 16.78/11.60 tff(19020,plain,
% 16.78/11.60 ((~![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))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19021,plain,
% 16.78/11.60 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19020, 19019])).
% 16.78/11.60 tff(19022,plain,
% 16.78/11.60 (m_main_v_state2(s235, c_t2)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19021, 518, 18919, 19015])).
% 16.78/11.60 tff(19023,plain,
% 16.78/11.60 (succ(s235, s236) <=> succ(s235, s236)),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19024,axiom,(succ(s235, s236)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound236')).
% 16.78/11.60 tff(19025,plain,
% 16.78/11.60 (succ(s235, s236)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19024, 19023])).
% 16.78/11.60 tff(19026,plain,
% 16.78/11.60 (((~![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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19027,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19028,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19027, 19026])).
% 16.78/11.60 tff(19029,plain,
% 16.78/11.60 (trans(s235, s236)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19028, 19025, 32])).
% 16.78/11.60 tff(19030,plain,
% 16.78/11.60 (((~![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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19031,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s235, s236)) | node7(s235, s236))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19032,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s235, s236)) | node7(s235, s236)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19031, 19030])).
% 16.78/11.60 tff(19033,plain,
% 16.78/11.60 (node7(s235, s236)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19032, 206, 19029])).
% 16.78/11.60 tff(19034,plain,
% 16.78/11.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19035,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node7(s235, s236)) | m_main_v_state1(s236, c_t1))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19036,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node7(s235, s236)) | m_main_v_state1(s236, c_t1)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19035, 19034])).
% 16.78/11.60 tff(19037,plain,
% 16.78/11.60 ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | m_main_v_state1(s236, c_t1)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19036, 651, 19033])).
% 16.78/11.60 tff(19038,plain,
% 16.78/11.60 (m_main_v_state1(s236, c_t1)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19037, 19022, 18966])).
% 16.78/11.60 tff(19039,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19040,plain,
% 16.78/11.60 ((~![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)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19041,plain,
% 16.78/11.60 ((~![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))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19040, 19039])).
% 16.78/11.60 tff(19042,plain,
% 16.78/11.60 (~m_main_v_state1(s236, c_n1)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19041, 10, 19038])).
% 16.78/11.60 tff(19043,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19044,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s236, c_n1) | (~node1(s236)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19045,plain,
% 16.78/11.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s236, c_n1) | (~node1(s236))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19044, 19043])).
% 16.78/11.60 tff(19046,plain,
% 16.78/11.60 (~node1(s236)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19045, 421, 19042])).
% 16.78/11.60 tff(19047,plain,
% 16.78/11.60 (((~![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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19048,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s235, s236)) | node18(s235, s236))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19049,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s235, s236)) | node18(s235, s236)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19048, 19047])).
% 16.78/11.60 tff(19050,plain,
% 16.78/11.60 (node18(s235, s236)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19049, 125, 19029])).
% 16.78/11.60 tff(19051,plain,
% 16.78/11.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19052,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node18(s235, s236)) | m_main_v_turn(s236, c_2))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19053,plain,
% 16.78/11.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node18(s235, s236)) | m_main_v_turn(s236, c_2)),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19052, 19051])).
% 16.78/11.60 tff(19054,plain,
% 16.78/11.60 ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | m_main_v_turn(s236, c_2)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19053, 760, 19050])).
% 16.78/11.60 tff(19055,plain,
% 16.78/11.60 (m_main_v_turn(s236, c_2)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19054, 19022, 18966])).
% 16.78/11.60 tff(19056,plain,
% 16.78/11.60 (((~![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)))),
% 16.78/11.60 inference(rewrite,[status(thm)],[])).
% 16.78/11.60 tff(19057,plain,
% 16.78/11.60 ((~![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)))),
% 16.78/11.60 inference(quant_inst,[status(thm)],[])).
% 16.78/11.60 tff(19058,plain,
% 16.78/11.60 ((~![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))),
% 16.78/11.60 inference(modus_ponens,[status(thm)],[19057, 19056])).
% 16.78/11.60 tff(19059,plain,
% 16.78/11.60 (~m_main_v_turn(s236, c_1)),
% 16.78/11.60 inference(unit_resolution,[status(thm)],[19058, 156, 19055])).
% 16.78/11.61 tff(19060,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19061,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s236, c_1) | (~node5(s236)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19062,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s236, c_1) | (~node5(s236))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19061, 19060])).
% 16.78/11.61 tff(19063,plain,
% 16.78/11.61 (~node5(s236)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19062, 776, 19059])).
% 16.78/11.61 tff(19064,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19065,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s236, c_n1) | (~node2(s236)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19066,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s236, c_n1) | (~node2(s236))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19065, 19064])).
% 16.78/11.61 tff(19067,plain,
% 16.78/11.61 (~node2(s236)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19066, 787, 19042])).
% 16.78/11.61 tff(19068,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19069,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s236, c_n1) | (~node3(s236)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19070,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s236, c_n1) | (~node3(s236))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19069, 19068])).
% 16.78/11.61 tff(19071,plain,
% 16.78/11.61 (~node3(s236)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19070, 798, 19042])).
% 16.78/11.61 tff(19072,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19073,plain,
% 16.78/11.61 ((~![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)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19074,plain,
% 16.78/11.61 ((~![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))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19073, 19072])).
% 16.78/11.61 tff(19075,plain,
% 16.78/11.61 (~m_main_v_state1(s236, c_c1)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19074, 539, 19038])).
% 16.78/11.61 tff(19076,plain,
% 16.78/11.61 (((~![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(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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19077,plain,
% 16.78/11.61 (((~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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19078,plain,
% 16.78/11.61 (((~![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))))),
% 16.78/11.61 inference(monotonicity,[status(thm)],[19077])).
% 16.78/11.61 tff(19079,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(transitivity,[status(thm)],[19078, 19076])).
% 16.78/11.61 tff(19080,plain,
% 16.78/11.61 ((~![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)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19081,plain,
% 16.78/11.61 ((~![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(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19080, 19079])).
% 16.78/11.61 tff(19082,plain,
% 16.78/11.61 (~m_main_v_state2(s235, c_n2)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19081, 311, 18923, 19015])).
% 16.78/11.61 tff(19083,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19084,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s235, c_n2) | (~node9(s235)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19085,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s235, c_n2) | (~node9(s235))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 16.78/11.61 tff(19086,plain,
% 16.78/11.61 (~node9(s235)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19085, 88, 19082])).
% 16.78/11.61 tff(19087,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19088,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s235, c_n2) | (~node10(s235)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19089,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s235, c_n2) | (~node10(s235))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19088, 19087])).
% 16.78/11.61 tff(19090,plain,
% 16.78/11.61 (~node10(s235)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19089, 249, 19082])).
% 16.78/11.61 tff(19091,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19092,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s235, c_n2) | (~node8(s235)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19093,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s235, c_n2) | (~node8(s235))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19092, 19091])).
% 16.78/11.61 tff(19094,plain,
% 16.78/11.61 (~node8(s235)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19093, 271, 19082])).
% 16.78/11.61 tff(19095,plain,
% 16.78/11.61 (((~![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))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19096,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s235, s236)) | node14(s235, s236))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19097,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s235, s236)) | node14(s235, s236)),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19096, 19095])).
% 16.78/11.61 tff(19098,plain,
% 16.78/11.61 (node14(s235, s236)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19097, 46, 19029])).
% 16.78/11.61 tff(19099,plain,
% 16.78/11.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19100,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19101,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19100, 19099])).
% 16.78/11.61 tff(19102,plain,
% 16.78/11.61 ((~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)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19101, 617, 19098])).
% 16.78/11.61 tff(19103,plain,
% 16.78/11.61 (m_main_v_state2(s236, c_c2)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19102, 19094, 18966, 19022, 19090, 19086])).
% 16.78/11.61 tff(19104,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19105,plain,
% 16.78/11.61 ((~![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)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19106,plain,
% 16.78/11.61 ((~![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))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19105, 19104])).
% 16.78/11.61 tff(19107,plain,
% 16.78/11.61 (~m_main_v_state2(s236, c_n2)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19106, 697, 19103])).
% 16.78/11.61 tff(19108,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19109,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s236, c_n2) | (~node4(s236)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19110,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s236, c_n2) | (~node4(s236))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19109, 19108])).
% 16.78/11.61 tff(19111,plain,
% 16.78/11.61 (~node4(s236)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19110, 388, 19107])).
% 16.78/11.61 tff(19112,plain,
% 16.78/11.61 (succ(s236, s237) <=> succ(s236, s237)),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19113,axiom,(succ(s236, s237)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound237')).
% 16.78/11.61 tff(19114,plain,
% 16.78/11.61 (succ(s236, s237)),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19113, 19112])).
% 16.78/11.61 tff(19115,plain,
% 16.78/11.61 (((~![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))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19116,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19117,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237)),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19116, 19115])).
% 16.78/11.61 tff(19118,plain,
% 16.78/11.61 (trans(s236, s237)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19117, 19114, 32])).
% 16.78/11.61 tff(19119,plain,
% 16.78/11.61 (((~![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))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19120,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s236, s237)) | node7(s236, s237))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19121,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s236, s237)) | node7(s236, s237)),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19120, 19119])).
% 16.78/11.61 tff(19122,plain,
% 16.78/11.61 (node7(s236, s237)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19121, 206, 19118])).
% 16.78/11.61 tff(19123,plain,
% 16.78/11.61 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19124,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237) | (~node7(s236, s237)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19125,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237) | (~node7(s236, s237))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19124, 19123])).
% 16.78/11.61 tff(19126,plain,
% 16.78/11.61 (m_main_v_state1(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19125, 820, 19122])).
% 16.78/11.61 tff(19127,plain,
% 16.78/11.61 (node6(s236, s237)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19126, 19111, 19075, 19071, 19067, 19063, 19046])).
% 16.78/11.61 tff(19128,plain,
% 16.78/11.61 (((~![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(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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19129,plain,
% 16.78/11.61 (((~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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19130,plain,
% 16.78/11.61 (((~![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))))),
% 16.78/11.61 inference(monotonicity,[status(thm)],[19129])).
% 16.78/11.61 tff(19131,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(transitivity,[status(thm)],[19130, 19128])).
% 16.78/11.61 tff(19132,plain,
% 16.78/11.61 ((~![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))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19133,plain,
% 16.78/11.61 ((~![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(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19132, 19131])).
% 16.78/11.61 tff(19134,plain,
% 16.78/11.61 (m_main_v_state1(s237, c_t1)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19133, 856, 19038, 19127])).
% 16.78/11.61 tff(19135,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19136,plain,
% 16.78/11.61 ((~![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)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19137,plain,
% 16.78/11.61 ((~![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))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19136, 19135])).
% 16.78/11.61 tff(19138,plain,
% 16.78/11.61 (~m_main_v_state2(s236, c_t2)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19137, 260, 19103])).
% 16.78/11.61 tff(19139,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19140,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s236, c_t2) | (~node12(s236)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19141,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s236, c_t2) | (~node12(s236))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19140, 19139])).
% 16.78/11.61 tff(19142,plain,
% 16.78/11.61 (~node12(s236)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19141, 633, 19138])).
% 16.78/11.61 tff(19143,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19144,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s236, c_n1) | (~node11(s236)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19145,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s236, c_n1) | (~node11(s236))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19144, 19143])).
% 16.78/11.61 tff(19146,plain,
% 16.78/11.61 (~node11(s236)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19145, 238, 19042])).
% 16.78/11.61 tff(19147,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19148,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s236, c_c1) | (~node10(s236)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19149,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s236, c_c1) | (~node10(s236))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19148, 19147])).
% 16.78/11.61 tff(19150,plain,
% 16.78/11.61 (~node10(s236)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19149, 675, 19075])).
% 16.78/11.61 tff(19151,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19152,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s236, c_n1) | (~node9(s236)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19153,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s236, c_n1) | (~node9(s236))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19152, 19151])).
% 16.78/11.61 tff(19154,plain,
% 16.78/11.61 (~node9(s236)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19153, 686, 19042])).
% 16.78/11.61 tff(19155,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19156,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s236, c_n2) | (~node8(s236)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19157,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s236, c_n2) | (~node8(s236))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19156, 19155])).
% 16.78/11.61 tff(19158,plain,
% 16.78/11.61 (~node8(s236)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19157, 271, 19107])).
% 16.78/11.61 tff(19159,plain,
% 16.78/11.61 (((~![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))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19160,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s236, s237)) | node14(s236, s237))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19161,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s236, s237)) | node14(s236, s237)),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19160, 19159])).
% 16.78/11.61 tff(19162,plain,
% 16.78/11.61 (node14(s236, s237)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19161, 46, 19118])).
% 16.78/11.61 tff(19163,plain,
% 16.78/11.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19164,plain,
% 16.78/11.61 (((~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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19165,plain,
% 16.78/11.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.78/11.61 inference(monotonicity,[status(thm)],[19164])).
% 16.78/11.61 tff(19166,plain,
% 16.78/11.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.78/11.61 inference(transitivity,[status(thm)],[19165, 19163])).
% 16.78/11.61 tff(19167,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s236, c_c2)) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | m_main_v_state2(s237, c_n2))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19168,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19167, 19166])).
% 16.78/11.61 tff(19169,plain,
% 16.78/11.61 (m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~m_main_v_state2(s236, c_c2))),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19168, 726, 19162])).
% 16.78/11.61 tff(19170,plain,
% 16.78/11.61 (m_main_v_state2(s237, c_n2)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19169, 19158, 19103, 19154, 19150, 19146, 19142])).
% 16.78/11.61 tff(19171,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19172,plain,
% 16.78/11.61 ((~![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)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19173,plain,
% 16.78/11.61 ((~![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))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19172, 19171])).
% 16.78/11.61 tff(19174,plain,
% 16.78/11.61 (~m_main_v_state2(s237, c_t2)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19173, 77, 19170])).
% 16.78/11.61 tff(19175,plain,
% 16.78/11.61 (((~![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)))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19176,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s237, c_t2) | (~node15(s237)))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19177,plain,
% 16.78/11.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s237, c_t2) | (~node15(s237))),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19176, 19175])).
% 16.78/11.61 tff(19178,plain,
% 16.78/11.61 (~node15(s237)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19177, 103, 19174])).
% 16.78/11.61 tff(19179,plain,
% 16.78/11.61 (succ(s237, s238) <=> succ(s237, s238)),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19180,axiom,(succ(s237, s238)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound238')).
% 16.78/11.61 tff(19181,plain,
% 16.78/11.61 (succ(s237, s238)),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19180, 19179])).
% 16.78/11.61 tff(19182,plain,
% 16.78/11.61 (((~![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))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19183,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19184,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238)),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19183, 19182])).
% 16.78/11.61 tff(19185,plain,
% 16.78/11.61 (trans(s237, s238)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19184, 19181, 32])).
% 16.78/11.61 tff(19186,plain,
% 16.78/11.61 (((~![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))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19187,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s237, s238)) | node18(s237, s238))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19188,plain,
% 16.78/11.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s237, s238)) | node18(s237, s238)),
% 16.78/11.61 inference(modus_ponens,[status(thm)],[19187, 19186])).
% 16.78/11.61 tff(19189,plain,
% 16.78/11.61 (node18(s237, s238)),
% 16.78/11.61 inference(unit_resolution,[status(thm)],[19188, 125, 19185])).
% 16.78/11.61 tff(19190,plain,
% 16.78/11.61 (((~![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(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))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19191,plain,
% 16.78/11.61 (((~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))),
% 16.78/11.61 inference(rewrite,[status(thm)],[])).
% 16.78/11.61 tff(19192,plain,
% 16.78/11.61 (((~![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(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)))),
% 16.78/11.61 inference(monotonicity,[status(thm)],[19191])).
% 16.78/11.61 tff(19193,plain,
% 16.78/11.61 (((~![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(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))),
% 16.78/11.61 inference(transitivity,[status(thm)],[19192, 19190])).
% 16.78/11.61 tff(19194,plain,
% 16.78/11.61 ((~![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(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node15(s237) | (~node18(s237, s238)) | m_main_v_turn(s238, c_1))),
% 16.78/11.61 inference(quant_inst,[status(thm)],[])).
% 16.78/11.61 tff(19195,plain,
% 16.78/11.61 ((~![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(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)),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19194, 19193])).
% 16.78/11.62 tff(19196,plain,
% 16.78/11.62 (node15(s237) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19195, 992, 19189])).
% 16.78/11.62 tff(19197,plain,
% 16.78/11.62 (m_main_v_turn(s238, c_1)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19196, 19178, 19170, 19134])).
% 16.78/11.62 tff(19198,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19199,plain,
% 16.78/11.62 ((~![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)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19200,plain,
% 16.78/11.62 ((~![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))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19199, 19198])).
% 16.78/11.62 tff(19201,plain,
% 16.78/11.62 (~m_main_v_turn(s238, c_2)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19200, 156, 19197])).
% 16.78/11.62 tff(19202,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19203,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s238, c_2) | (~node12(s238)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19204,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s238, c_2) | (~node12(s238))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19203, 19202])).
% 16.78/11.62 tff(19205,plain,
% 16.78/11.62 (~node12(s238)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19204, 184, 19201])).
% 16.78/11.62 tff(19206,plain,
% 16.78/11.62 (((~![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))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19207,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s237, s238)) | node14(s237, s238))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19208,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s237, s238)) | node14(s237, s238)),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19207, 19206])).
% 16.78/11.62 tff(19209,plain,
% 16.78/11.62 (node14(s237, s238)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19208, 46, 19185])).
% 16.78/11.62 tff(19210,plain,
% 16.78/11.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19211,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | (~node14(s237, s238)) | m_main_v_state2(s238, c_t2))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19212,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | (~node14(s237, s238)) | m_main_v_state2(s238, c_t2)),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19211, 19210])).
% 16.78/11.62 tff(19213,plain,
% 16.78/11.62 ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state2(s238, c_t2)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19212, 922, 19209])).
% 16.78/11.62 tff(19214,plain,
% 16.78/11.62 (m_main_v_state2(s238, c_t2)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19213, 19134, 19170])).
% 16.78/11.62 tff(19215,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19216,plain,
% 16.78/11.62 ((~![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)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19217,plain,
% 16.78/11.62 ((~![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))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19216, 19215])).
% 16.78/11.62 tff(19218,plain,
% 16.78/11.62 (~m_main_v_state2(s238, c_n2)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19217, 77, 19214])).
% 16.78/11.62 tff(19219,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19220,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s238, c_n2) | (~node8(s238)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19221,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s238, c_n2) | (~node8(s238))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19220, 19219])).
% 16.78/11.62 tff(19222,plain,
% 16.78/11.62 (~node8(s238)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19221, 271, 19218])).
% 16.78/11.62 tff(19223,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19224,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s238, c_n2) | (~node9(s238)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19225,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s238, c_n2) | (~node9(s238))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19224, 19223])).
% 16.78/11.62 tff(19226,plain,
% 16.78/11.62 (~node9(s238)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19225, 88, 19218])).
% 16.78/11.62 tff(19227,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19228,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s238, c_n2) | (~node10(s238)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19229,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s238, c_n2) | (~node10(s238))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19228, 19227])).
% 16.78/11.62 tff(19230,plain,
% 16.78/11.62 (~node10(s238)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19229, 249, 19218])).
% 16.78/11.62 tff(19231,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19232,plain,
% 16.78/11.62 ((~![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)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19233,plain,
% 16.78/11.62 ((~![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))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19232, 19231])).
% 16.78/11.62 tff(19234,plain,
% 16.78/11.62 (~m_main_v_state2(s238, c_c2)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19233, 260, 19214])).
% 16.78/11.62 tff(19235,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19236,plain,
% 16.78/11.62 ((~![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)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19237,plain,
% 16.78/11.62 ((~![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))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19236, 19235])).
% 16.78/11.62 tff(19238,plain,
% 16.78/11.62 (~m_main_v_state2(s237, c_c2)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19237, 697, 19170])).
% 16.78/11.62 tff(19239,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19240,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s237, c_c2) | (~node3(s237)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19241,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s237, c_c2) | (~node3(s237))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19240, 19239])).
% 16.78/11.62 tff(19242,plain,
% 16.78/11.62 (~node3(s237)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19241, 399, 19238])).
% 16.78/11.62 tff(19243,plain,
% 16.78/11.62 (((~![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(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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19244,plain,
% 16.78/11.62 (((~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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19245,plain,
% 16.78/11.62 (((~![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))))),
% 16.78/11.62 inference(monotonicity,[status(thm)],[19244])).
% 16.78/11.62 tff(19246,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(transitivity,[status(thm)],[19245, 19243])).
% 16.78/11.62 tff(19247,plain,
% 16.78/11.62 ((~![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)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19248,plain,
% 16.78/11.62 ((~![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(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19247, 19246])).
% 16.78/11.62 tff(19249,plain,
% 16.78/11.62 (~m_main_v_state1(s237, c_n1)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19248, 835, 19042, 19127])).
% 16.78/11.62 tff(19250,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19251,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s237, c_n1) | (~node2(s237)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19252,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s237, c_n1) | (~node2(s237))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19251, 19250])).
% 16.78/11.62 tff(19253,plain,
% 16.78/11.62 (~node2(s237)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19252, 787, 19249])).
% 16.78/11.62 tff(19254,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19255,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s237, c_t2) | (~node1(s237)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19256,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s237, c_t2) | (~node1(s237))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19255, 19254])).
% 16.78/11.62 tff(19257,plain,
% 16.78/11.62 (~node1(s237)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19256, 195, 19174])).
% 16.78/11.62 tff(19258,plain,
% 16.78/11.62 (((~![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))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19259,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s237, s238)) | node7(s237, s238))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19260,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s237, s238)) | node7(s237, s238)),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19259, 19258])).
% 16.78/11.62 tff(19261,plain,
% 16.78/11.62 (node7(s237, s238)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19260, 206, 19185])).
% 16.78/11.62 tff(19262,plain,
% 16.78/11.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19263,plain,
% 16.78/11.62 (((~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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19264,plain,
% 16.78/11.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.78/11.62 inference(monotonicity,[status(thm)],[19263])).
% 16.78/11.62 tff(19265,plain,
% 16.78/11.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.78/11.62 inference(transitivity,[status(thm)],[19264, 19262])).
% 16.78/11.62 tff(19266,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19267,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19266, 19265])).
% 16.78/11.62 tff(19268,plain,
% 16.78/11.62 ((~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)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19267, 892, 19261])).
% 16.78/11.62 tff(19269,plain,
% 16.78/11.62 (m_main_v_state1(s238, c_c1)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19268, 19257, 19170, 19134, 19253, 19242])).
% 16.78/11.62 tff(19270,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19271,plain,
% 16.78/11.62 ((~![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)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19272,plain,
% 16.78/11.62 ((~![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))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19271, 19270])).
% 16.78/11.62 tff(19273,plain,
% 16.78/11.62 (~m_main_v_state1(s238, c_n1)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19272, 454, 19269])).
% 16.78/11.62 tff(19274,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19275,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s238, c_n1) | (~node11(s238)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19276,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s238, c_n1) | (~node11(s238))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19275, 19274])).
% 16.78/11.62 tff(19277,plain,
% 16.78/11.62 (~node11(s238)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19276, 238, 19273])).
% 16.78/11.62 tff(19278,plain,
% 16.78/11.62 (succ(s238, s239) <=> succ(s238, s239)),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19279,axiom,(succ(s238, s239)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound239')).
% 16.78/11.62 tff(19280,plain,
% 16.78/11.62 (succ(s238, s239)),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19279, 19278])).
% 16.78/11.62 tff(19281,plain,
% 16.78/11.62 (((~![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))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19282,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19283,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239)),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19282, 19281])).
% 16.78/11.62 tff(19284,plain,
% 16.78/11.62 (trans(s238, s239)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19283, 19280, 32])).
% 16.78/11.62 tff(19285,plain,
% 16.78/11.62 (((~![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))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19286,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s238, s239)) | node14(s238, s239))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19287,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s238, s239)) | node14(s238, s239)),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19286, 19285])).
% 16.78/11.62 tff(19288,plain,
% 16.78/11.62 (node14(s238, s239)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19287, 46, 19284])).
% 16.78/11.62 tff(19289,plain,
% 16.78/11.62 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19290,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239) | (~node14(s238, s239)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19291,plain,
% 16.78/11.62 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239) | (~node14(s238, s239))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19290, 19289])).
% 16.78/11.62 tff(19292,plain,
% 16.78/11.62 (m_main_v_state2(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19291, 296, 19288])).
% 16.78/11.62 tff(19293,plain,
% 16.78/11.62 (node13(s238, s239)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19292, 19277, 19234, 19230, 19226, 19222, 19205])).
% 16.78/11.62 tff(19294,plain,
% 16.78/11.62 (((~![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(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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19295,plain,
% 16.78/11.62 (((~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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19296,plain,
% 16.78/11.62 (((~![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))))),
% 16.78/11.62 inference(monotonicity,[status(thm)],[19295])).
% 16.78/11.62 tff(19297,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(transitivity,[status(thm)],[19296, 19294])).
% 16.78/11.62 tff(19298,plain,
% 16.78/11.62 ((~![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)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19299,plain,
% 16.78/11.62 ((~![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(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19298, 19297])).
% 16.78/11.62 tff(19300,plain,
% 16.78/11.62 (~m_main_v_state2(s239, c_n2)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19299, 311, 19218, 19293])).
% 16.78/11.62 tff(19301,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19302,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s239, c_n2) | (~node9(s239)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19303,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s239, c_n2) | (~node9(s239))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19302, 19301])).
% 16.78/11.62 tff(19304,plain,
% 16.78/11.62 (~node9(s239)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19303, 88, 19300])).
% 16.78/11.62 tff(19305,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19306,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s239, c_n2) | (~node10(s239)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19307,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s239, c_n2) | (~node10(s239))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19306, 19305])).
% 16.78/11.62 tff(19308,plain,
% 16.78/11.62 (~node10(s239)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19307, 249, 19300])).
% 16.78/11.62 tff(19309,plain,
% 16.78/11.62 (((~![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(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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19310,plain,
% 16.78/11.62 (((~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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19311,plain,
% 16.78/11.62 (((~![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))))),
% 16.78/11.62 inference(monotonicity,[status(thm)],[19310])).
% 16.78/11.62 tff(19312,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(transitivity,[status(thm)],[19311, 19309])).
% 16.78/11.62 tff(19313,plain,
% 16.78/11.62 ((~![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))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19314,plain,
% 16.78/11.62 ((~![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(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19313, 19312])).
% 16.78/11.62 tff(19315,plain,
% 16.78/11.62 (m_main_v_state2(s239, c_t2)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19314, 518, 19214, 19293])).
% 16.78/11.62 tff(19316,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19317,plain,
% 16.78/11.62 ((~![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)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19318,plain,
% 16.78/11.62 ((~![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))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19317, 19316])).
% 16.78/11.62 tff(19319,plain,
% 16.78/11.62 (~m_main_v_state1(s238, c_t1)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19318, 539, 19269])).
% 16.78/11.62 tff(19320,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19321,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s238, c_t1) | (~node5(s238)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19322,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s238, c_t1) | (~node5(s238))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19321, 19320])).
% 16.78/11.62 tff(19323,plain,
% 16.78/11.62 (~node5(s238)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19322, 550, 19319])).
% 16.78/11.62 tff(19324,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19325,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s238, c_n2) | (~node4(s238)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19326,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s238, c_n2) | (~node4(s238))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19325, 19324])).
% 16.78/11.62 tff(19327,plain,
% 16.78/11.62 (~node4(s238)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19326, 388, 19218])).
% 16.78/11.62 tff(19328,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19329,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s238, c_c2) | (~node3(s238)))),
% 16.78/11.62 inference(quant_inst,[status(thm)],[])).
% 16.78/11.62 tff(19330,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s238, c_c2) | (~node3(s238))),
% 16.78/11.62 inference(modus_ponens,[status(thm)],[19329, 19328])).
% 16.78/11.62 tff(19331,plain,
% 16.78/11.62 (~node3(s238)),
% 16.78/11.62 inference(unit_resolution,[status(thm)],[19330, 399, 19234])).
% 16.78/11.62 tff(19332,plain,
% 16.78/11.62 (((~![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)))),
% 16.78/11.62 inference(rewrite,[status(thm)],[])).
% 16.78/11.62 tff(19333,plain,
% 16.78/11.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s238, c_n2) | (~node2(s238)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19334,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s238, c_n2) | (~node2(s238))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19333, 19332])).
% 16.78/11.63 tff(19335,plain,
% 16.78/11.63 (~node2(s238)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19334, 410, 19218])).
% 16.78/11.63 tff(19336,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19337,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s238, c_n1) | (~node1(s238)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19338,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s238, c_n1) | (~node1(s238))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19337, 19336])).
% 16.78/11.63 tff(19339,plain,
% 16.78/11.63 (~node1(s238)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19338, 421, 19273])).
% 16.78/11.63 tff(19340,plain,
% 16.78/11.63 (((~![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))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19341,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s238, s239)) | node7(s238, s239))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19342,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s238, s239)) | node7(s238, s239)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19341, 19340])).
% 16.78/11.63 tff(19343,plain,
% 16.78/11.63 (node7(s238, s239)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19342, 206, 19284])).
% 16.78/11.63 tff(19344,plain,
% 16.78/11.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19345,plain,
% 16.78/11.63 (((~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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19346,plain,
% 16.78/11.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 16.78/11.63 inference(monotonicity,[status(thm)],[19345])).
% 16.78/11.63 tff(19347,plain,
% 16.78/11.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 16.78/11.63 inference(transitivity,[status(thm)],[19346, 19344])).
% 16.78/11.63 tff(19348,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)) | m_main_v_state1(s239, c_n1))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19349,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19348, 19347])).
% 16.78/11.63 tff(19350,plain,
% 16.78/11.63 (m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19349, 584, 19343])).
% 16.78/11.63 tff(19351,plain,
% 16.78/11.63 (m_main_v_state1(s239, c_n1)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19350, 19339, 19269, 19335, 19331, 19327, 19323])).
% 16.78/11.63 tff(19352,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19353,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s239, c_n2) | (~node8(s239)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19354,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s239, c_n2) | (~node8(s239))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19353, 19352])).
% 16.78/11.63 tff(19355,plain,
% 16.78/11.63 (~node8(s239)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19354, 271, 19300])).
% 16.78/11.63 tff(19356,plain,
% 16.78/11.63 (succ(s239, s240) <=> succ(s239, s240)),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19357,axiom,(succ(s239, s240)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound240')).
% 16.78/11.63 tff(19358,plain,
% 16.78/11.63 (succ(s239, s240)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19357, 19356])).
% 16.78/11.63 tff(19359,plain,
% 16.78/11.63 (((~![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))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19360,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19361,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19360, 19359])).
% 16.78/11.63 tff(19362,plain,
% 16.78/11.63 (trans(s239, s240)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19361, 19358, 32])).
% 16.78/11.63 tff(19363,plain,
% 16.78/11.63 (((~![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))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19364,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s239, s240)) | node14(s239, s240))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19365,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s239, s240)) | node14(s239, s240)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19364, 19363])).
% 16.78/11.63 tff(19366,plain,
% 16.78/11.63 (node14(s239, s240)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19365, 46, 19362])).
% 16.78/11.63 tff(19367,plain,
% 16.78/11.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19368,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19369,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19368, 19367])).
% 16.78/11.63 tff(19370,plain,
% 16.78/11.63 ((~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)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19369, 617, 19366])).
% 16.78/11.63 tff(19371,plain,
% 16.78/11.63 (m_main_v_state2(s240, c_c2)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19370, 19355, 19351, 19315, 19308, 19304])).
% 16.78/11.63 tff(19372,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19373,plain,
% 16.78/11.63 ((~![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)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19374,plain,
% 16.78/11.63 ((~![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))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19373, 19372])).
% 16.78/11.63 tff(19375,plain,
% 16.78/11.63 (~m_main_v_state2(s240, c_t2)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19374, 260, 19371])).
% 16.78/11.63 tff(19376,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19377,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s240, c_t2) | (~node12(s240)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19378,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s240, c_t2) | (~node12(s240))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19377, 19376])).
% 16.78/11.63 tff(19379,plain,
% 16.78/11.63 (~node12(s240)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19378, 633, 19375])).
% 16.78/11.63 tff(19380,plain,
% 16.78/11.63 (((~![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))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19381,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s239, s240)) | node7(s239, s240))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19382,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s239, s240)) | node7(s239, s240)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19381, 19380])).
% 16.78/11.63 tff(19383,plain,
% 16.78/11.63 (node7(s239, s240)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19382, 206, 19362])).
% 16.78/11.63 tff(19384,plain,
% 16.78/11.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19385,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node7(s239, s240)) | m_main_v_state1(s240, c_t1))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19386,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node7(s239, s240)) | m_main_v_state1(s240, c_t1)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19385, 19384])).
% 16.78/11.63 tff(19387,plain,
% 16.78/11.63 ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | m_main_v_state1(s240, c_t1)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19386, 651, 19383])).
% 16.78/11.63 tff(19388,plain,
% 16.78/11.63 (m_main_v_state1(s240, c_t1)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19387, 19315, 19351])).
% 16.78/11.63 tff(19389,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19390,plain,
% 16.78/11.63 ((~![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)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19391,plain,
% 16.78/11.63 ((~![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))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19390, 19389])).
% 16.78/11.63 tff(19392,plain,
% 16.78/11.63 (~m_main_v_state1(s240, c_n1)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19391, 10, 19388])).
% 16.78/11.63 tff(19393,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19394,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s240, c_n1) | (~node11(s240)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19395,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s240, c_n1) | (~node11(s240))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19394, 19393])).
% 16.78/11.63 tff(19396,plain,
% 16.78/11.63 (~node11(s240)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19395, 238, 19392])).
% 16.78/11.63 tff(19397,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19398,plain,
% 16.78/11.63 ((~![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)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19399,plain,
% 16.78/11.63 ((~![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))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19398, 19397])).
% 16.78/11.63 tff(19400,plain,
% 16.78/11.63 (~m_main_v_state1(s240, c_c1)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19399, 539, 19388])).
% 16.78/11.63 tff(19401,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19402,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s240, c_c1) | (~node10(s240)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19403,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s240, c_c1) | (~node10(s240))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19402, 19401])).
% 16.78/11.63 tff(19404,plain,
% 16.78/11.63 (~node10(s240)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19403, 675, 19400])).
% 16.78/11.63 tff(19405,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19406,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s240, c_n1) | (~node9(s240)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19407,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s240, c_n1) | (~node9(s240))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19406, 19405])).
% 16.78/11.63 tff(19408,plain,
% 16.78/11.63 (~node9(s240)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19407, 686, 19392])).
% 16.78/11.63 tff(19409,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19410,plain,
% 16.78/11.63 ((~![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)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19411,plain,
% 16.78/11.63 ((~![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))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19410, 19409])).
% 16.78/11.63 tff(19412,plain,
% 16.78/11.63 (~m_main_v_state2(s240, c_n2)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19411, 697, 19371])).
% 16.78/11.63 tff(19413,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19414,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s240, c_n2) | (~node8(s240)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19415,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s240, c_n2) | (~node8(s240))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19414, 19413])).
% 16.78/11.63 tff(19416,plain,
% 16.78/11.63 (~node8(s240)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19415, 271, 19412])).
% 16.78/11.63 tff(19417,plain,
% 16.78/11.63 (succ(s240, s241) <=> succ(s240, s241)),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19418,axiom,(succ(s240, s241)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound241')).
% 16.78/11.63 tff(19419,plain,
% 16.78/11.63 (succ(s240, s241)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19418, 19417])).
% 16.78/11.63 tff(19420,plain,
% 16.78/11.63 (((~![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))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19421,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19422,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19421, 19420])).
% 16.78/11.63 tff(19423,plain,
% 16.78/11.63 (trans(s240, s241)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19422, 19419, 32])).
% 16.78/11.63 tff(19424,plain,
% 16.78/11.63 (((~![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))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19425,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s240, s241)) | node14(s240, s241))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19426,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s240, s241)) | node14(s240, s241)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19425, 19424])).
% 16.78/11.63 tff(19427,plain,
% 16.78/11.63 (node14(s240, s241)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19426, 46, 19423])).
% 16.78/11.63 tff(19428,plain,
% 16.78/11.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19429,plain,
% 16.78/11.63 (((~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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19430,plain,
% 16.78/11.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 16.78/11.63 inference(monotonicity,[status(thm)],[19429])).
% 16.78/11.63 tff(19431,plain,
% 16.78/11.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.78/11.63 inference(transitivity,[status(thm)],[19430, 19428])).
% 16.78/11.63 tff(19432,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19433,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19432, 19431])).
% 16.78/11.63 tff(19434,plain,
% 16.78/11.63 (m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~m_main_v_state2(s240, c_c2))),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19433, 726, 19427])).
% 16.78/11.63 tff(19435,plain,
% 16.78/11.63 (m_main_v_state2(s241, c_n2)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19434, 19416, 19371, 19408, 19404, 19396, 19379])).
% 16.78/11.63 tff(19436,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19437,plain,
% 16.78/11.63 ((~![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)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19438,plain,
% 16.78/11.63 ((~![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))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19437, 19436])).
% 16.78/11.63 tff(19439,plain,
% 16.78/11.63 (~m_main_v_state2(s241, c_c2)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19438, 697, 19435])).
% 16.78/11.63 tff(19440,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19441,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s241, c_c2) | (~node3(s241)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19442,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s241, c_c2) | (~node3(s241))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19441, 19440])).
% 16.78/11.63 tff(19443,plain,
% 16.78/11.63 (~node3(s241)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19442, 399, 19439])).
% 16.78/11.63 tff(19444,plain,
% 16.78/11.63 (((~![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)))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19445,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s240, c_n1) | (~node1(s240)))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19446,plain,
% 16.78/11.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s240, c_n1) | (~node1(s240))),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19445, 19444])).
% 16.78/11.63 tff(19447,plain,
% 16.78/11.63 (~node1(s240)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19446, 421, 19392])).
% 16.78/11.63 tff(19448,plain,
% 16.78/11.63 (((~![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))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19449,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s239, s240)) | node18(s239, s240))),
% 16.78/11.63 inference(quant_inst,[status(thm)],[])).
% 16.78/11.63 tff(19450,plain,
% 16.78/11.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s239, s240)) | node18(s239, s240)),
% 16.78/11.63 inference(modus_ponens,[status(thm)],[19449, 19448])).
% 16.78/11.63 tff(19451,plain,
% 16.78/11.63 (node18(s239, s240)),
% 16.78/11.63 inference(unit_resolution,[status(thm)],[19450, 125, 19362])).
% 16.78/11.63 tff(19452,plain,
% 16.78/11.63 (((~![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(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))),
% 16.78/11.63 inference(rewrite,[status(thm)],[])).
% 16.78/11.63 tff(19453,plain,
% 16.78/11.63 ((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node18(s239, s240)) | m_main_v_turn(s240, c_2))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19454,plain,
% 16.78/11.64 ((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node18(s239, s240)) | m_main_v_turn(s240, c_2)),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19453, 19452])).
% 16.78/11.64 tff(19455,plain,
% 16.78/11.64 ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | m_main_v_turn(s240, c_2)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19454, 760, 19451])).
% 16.78/11.64 tff(19456,plain,
% 16.78/11.64 (m_main_v_turn(s240, c_2)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19455, 19315, 19351])).
% 16.78/11.64 tff(19457,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19458,plain,
% 16.78/11.64 ((~![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)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19459,plain,
% 16.78/11.64 ((~![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))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19458, 19457])).
% 16.78/11.64 tff(19460,plain,
% 16.78/11.64 (~m_main_v_turn(s240, c_1)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19459, 156, 19456])).
% 16.78/11.64 tff(19461,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19462,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s240, c_1) | (~node5(s240)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19463,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s240, c_1) | (~node5(s240))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19462, 19461])).
% 16.78/11.64 tff(19464,plain,
% 16.78/11.64 (~node5(s240)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19463, 776, 19460])).
% 16.78/11.64 tff(19465,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19466,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s240, c_n1) | (~node2(s240)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19467,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s240, c_n1) | (~node2(s240))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19466, 19465])).
% 16.78/11.64 tff(19468,plain,
% 16.78/11.64 (~node2(s240)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19467, 787, 19392])).
% 16.78/11.64 tff(19469,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19470,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s240, c_n1) | (~node3(s240)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19471,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s240, c_n1) | (~node3(s240))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19470, 19469])).
% 16.78/11.64 tff(19472,plain,
% 16.78/11.64 (~node3(s240)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19471, 798, 19392])).
% 16.78/11.64 tff(19473,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19474,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s240, c_n2) | (~node4(s240)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19475,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s240, c_n2) | (~node4(s240))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19474, 19473])).
% 16.78/11.64 tff(19476,plain,
% 16.78/11.64 (~node4(s240)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19475, 388, 19412])).
% 16.78/11.64 tff(19477,plain,
% 16.78/11.64 (((~![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))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19478,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s240, s241)) | node7(s240, s241))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19479,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s240, s241)) | node7(s240, s241)),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19478, 19477])).
% 16.78/11.64 tff(19480,plain,
% 16.78/11.64 (node7(s240, s241)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19479, 206, 19423])).
% 16.78/11.64 tff(19481,plain,
% 16.78/11.64 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19482,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241) | (~node7(s240, s241)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19483,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241) | (~node7(s240, s241))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19482, 19481])).
% 16.78/11.64 tff(19484,plain,
% 16.78/11.64 (m_main_v_state1(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19483, 820, 19480])).
% 16.78/11.64 tff(19485,plain,
% 16.78/11.64 (node6(s240, s241)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19484, 19476, 19400, 19472, 19468, 19464, 19447])).
% 16.78/11.64 tff(19486,plain,
% 16.78/11.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19487,plain,
% 16.78/11.64 (((~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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19488,plain,
% 16.78/11.64 (((~![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))))),
% 16.78/11.64 inference(monotonicity,[status(thm)],[19487])).
% 16.78/11.64 tff(19489,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(transitivity,[status(thm)],[19488, 19486])).
% 16.78/11.64 tff(19490,plain,
% 16.78/11.64 ((~![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)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19491,plain,
% 16.78/11.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19490, 19489])).
% 16.78/11.64 tff(19492,plain,
% 16.78/11.64 (~m_main_v_state1(s241, c_n1)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19491, 835, 19392, 19485])).
% 16.78/11.64 tff(19493,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19494,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s241, c_n1) | (~node2(s241)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19495,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s241, c_n1) | (~node2(s241))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19494, 19493])).
% 16.78/11.64 tff(19496,plain,
% 16.78/11.64 (~node2(s241)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19495, 787, 19492])).
% 16.78/11.64 tff(19497,plain,
% 16.78/11.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19498,plain,
% 16.78/11.64 (((~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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19499,plain,
% 16.78/11.64 (((~![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))))),
% 16.78/11.64 inference(monotonicity,[status(thm)],[19498])).
% 16.78/11.64 tff(19500,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(transitivity,[status(thm)],[19499, 19497])).
% 16.78/11.64 tff(19501,plain,
% 16.78/11.64 ((~![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))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19502,plain,
% 16.78/11.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19501, 19500])).
% 16.78/11.64 tff(19503,plain,
% 16.78/11.64 (m_main_v_state1(s241, c_t1)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19502, 856, 19388, 19485])).
% 16.78/11.64 tff(19504,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19505,plain,
% 16.78/11.64 ((~![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)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19506,plain,
% 16.78/11.64 ((~![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))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19505, 19504])).
% 16.78/11.64 tff(19507,plain,
% 16.78/11.64 (~m_main_v_state2(s241, c_t2)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19506, 77, 19435])).
% 16.78/11.64 tff(19508,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19509,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s241, c_t2) | (~node1(s241)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19510,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s241, c_t2) | (~node1(s241))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19509, 19508])).
% 16.78/11.64 tff(19511,plain,
% 16.78/11.64 (~node1(s241)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19510, 195, 19507])).
% 16.78/11.64 tff(19512,plain,
% 16.78/11.64 (succ(s241, s242) <=> succ(s241, s242)),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19513,axiom,(succ(s241, s242)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound242')).
% 16.78/11.64 tff(19514,plain,
% 16.78/11.64 (succ(s241, s242)),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19513, 19512])).
% 16.78/11.64 tff(19515,plain,
% 16.78/11.64 (((~![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))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19516,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19517,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242)),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19516, 19515])).
% 16.78/11.64 tff(19518,plain,
% 16.78/11.64 (trans(s241, s242)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19517, 19514, 32])).
% 16.78/11.64 tff(19519,plain,
% 16.78/11.64 (((~![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))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19520,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s241, s242)) | node7(s241, s242))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19521,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s241, s242)) | node7(s241, s242)),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19520, 19519])).
% 16.78/11.64 tff(19522,plain,
% 16.78/11.64 (node7(s241, s242)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19521, 206, 19518])).
% 16.78/11.64 tff(19523,plain,
% 16.78/11.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19524,plain,
% 16.78/11.64 (((~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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19525,plain,
% 16.78/11.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 16.78/11.64 inference(monotonicity,[status(thm)],[19524])).
% 16.78/11.64 tff(19526,plain,
% 16.78/11.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 16.78/11.64 inference(transitivity,[status(thm)],[19525, 19523])).
% 16.78/11.64 tff(19527,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19528,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19527, 19526])).
% 16.78/11.64 tff(19529,plain,
% 16.78/11.64 ((~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)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19528, 892, 19522])).
% 16.78/11.64 tff(19530,plain,
% 16.78/11.64 (m_main_v_state1(s242, c_c1)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19529, 19511, 19435, 19503, 19496, 19443])).
% 16.78/11.64 tff(19531,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19532,plain,
% 16.78/11.64 ((~![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)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19533,plain,
% 16.78/11.64 ((~![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))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19532, 19531])).
% 16.78/11.64 tff(19534,plain,
% 16.78/11.64 (~m_main_v_state1(s242, c_t1)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19533, 539, 19530])).
% 16.78/11.64 tff(19535,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19536,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s242, c_t1) | (~node5(s242)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19537,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s242, c_t1) | (~node5(s242))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19536, 19535])).
% 16.78/11.64 tff(19538,plain,
% 16.78/11.64 (~node5(s242)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19537, 550, 19534])).
% 16.78/11.64 tff(19539,plain,
% 16.78/11.64 (((~![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))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19540,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s241, s242)) | node14(s241, s242))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19541,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s241, s242)) | node14(s241, s242)),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19540, 19539])).
% 16.78/11.64 tff(19542,plain,
% 16.78/11.64 (node14(s241, s242)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19541, 46, 19518])).
% 16.78/11.64 tff(19543,plain,
% 16.78/11.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19544,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19545,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19544, 19543])).
% 16.78/11.64 tff(19546,plain,
% 16.78/11.64 ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state2(s242, c_t2)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19545, 922, 19542])).
% 16.78/11.64 tff(19547,plain,
% 16.78/11.64 (m_main_v_state2(s242, c_t2)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19546, 19503, 19435])).
% 16.78/11.64 tff(19548,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19549,plain,
% 16.78/11.64 ((~![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)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19550,plain,
% 16.78/11.64 ((~![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))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19549, 19548])).
% 16.78/11.64 tff(19551,plain,
% 16.78/11.64 (~m_main_v_state2(s242, c_n2)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19550, 77, 19547])).
% 16.78/11.64 tff(19552,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19553,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s242, c_n2) | (~node4(s242)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19554,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s242, c_n2) | (~node4(s242))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19553, 19552])).
% 16.78/11.64 tff(19555,plain,
% 16.78/11.64 (~node4(s242)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19554, 388, 19551])).
% 16.78/11.64 tff(19556,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19557,plain,
% 16.78/11.64 ((~![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)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19558,plain,
% 16.78/11.64 ((~![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))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19557, 19556])).
% 16.78/11.64 tff(19559,plain,
% 16.78/11.64 (~m_main_v_state2(s242, c_c2)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19558, 260, 19547])).
% 16.78/11.64 tff(19560,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19561,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s242, c_c2) | (~node3(s242)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19562,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s242, c_c2) | (~node3(s242))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19561, 19560])).
% 16.78/11.64 tff(19563,plain,
% 16.78/11.64 (~node3(s242)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19562, 399, 19559])).
% 16.78/11.64 tff(19564,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19565,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s242, c_n2) | (~node2(s242)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19566,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s242, c_n2) | (~node2(s242))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19565, 19564])).
% 16.78/11.64 tff(19567,plain,
% 16.78/11.64 (~node2(s242)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19566, 410, 19551])).
% 16.78/11.64 tff(19568,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19569,plain,
% 16.78/11.64 ((~![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)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19570,plain,
% 16.78/11.64 ((~![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))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19569, 19568])).
% 16.78/11.64 tff(19571,plain,
% 16.78/11.64 (~m_main_v_state1(s242, c_n1)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19570, 454, 19530])).
% 16.78/11.64 tff(19572,plain,
% 16.78/11.64 (((~![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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19573,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s242, c_n1) | (~node1(s242)))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19574,plain,
% 16.78/11.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s242, c_n1) | (~node1(s242))),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19573, 19572])).
% 16.78/11.64 tff(19575,plain,
% 16.78/11.64 (~node1(s242)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19574, 421, 19571])).
% 16.78/11.64 tff(19576,plain,
% 16.78/11.64 (succ(s242, s243) <=> succ(s242, s243)),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19577,axiom,(succ(s242, s243)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound243')).
% 16.78/11.64 tff(19578,plain,
% 16.78/11.64 (succ(s242, s243)),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19577, 19576])).
% 16.78/11.64 tff(19579,plain,
% 16.78/11.64 (((~![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))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19580,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19581,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243)),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19580, 19579])).
% 16.78/11.64 tff(19582,plain,
% 16.78/11.64 (trans(s242, s243)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19581, 19578, 32])).
% 16.78/11.64 tff(19583,plain,
% 16.78/11.64 (((~![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))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19584,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s242, s243)) | node7(s242, s243))),
% 16.78/11.64 inference(quant_inst,[status(thm)],[])).
% 16.78/11.64 tff(19585,plain,
% 16.78/11.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s242, s243)) | node7(s242, s243)),
% 16.78/11.64 inference(modus_ponens,[status(thm)],[19584, 19583])).
% 16.78/11.64 tff(19586,plain,
% 16.78/11.64 (node7(s242, s243)),
% 16.78/11.64 inference(unit_resolution,[status(thm)],[19585, 206, 19582])).
% 16.78/11.64 tff(19587,plain,
% 16.78/11.64 (((~![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(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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19588,plain,
% 16.78/11.64 (((~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)))),
% 16.78/11.64 inference(rewrite,[status(thm)],[])).
% 16.78/11.64 tff(19589,plain,
% 16.78/11.64 (((~![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(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))))),
% 16.78/11.64 inference(monotonicity,[status(thm)],[19588])).
% 16.78/11.64 tff(19590,plain,
% 16.78/11.64 (((~![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(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)))),
% 16.78/11.65 inference(transitivity,[status(thm)],[19589, 19587])).
% 16.78/11.65 tff(19591,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)) | m_main_v_state1(s243, c_n1))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19592,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19591, 19590])).
% 16.78/11.65 tff(19593,plain,
% 16.78/11.65 (m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19592, 584, 19586])).
% 16.78/11.65 tff(19594,plain,
% 16.78/11.65 (m_main_v_state1(s243, c_n1)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19593, 19575, 19530, 19567, 19563, 19555, 19538])).
% 16.78/11.65 tff(19595,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19596,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s241, c_t2) | (~node15(s241)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19597,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s241, c_t2) | (~node15(s241))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19596, 19595])).
% 16.78/11.65 tff(19598,plain,
% 16.78/11.65 (~node15(s241)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19597, 103, 19507])).
% 16.78/11.65 tff(19599,plain,
% 16.78/11.65 (((~![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))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19600,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s241, s242)) | node18(s241, s242))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19601,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s241, s242)) | node18(s241, s242)),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19600, 19599])).
% 16.78/11.65 tff(19602,plain,
% 16.78/11.65 (node18(s241, s242)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19601, 125, 19518])).
% 16.78/11.65 tff(19603,plain,
% 16.78/11.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19604,plain,
% 16.78/11.65 (((~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))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19605,plain,
% 16.78/11.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 16.78/11.65 inference(monotonicity,[status(thm)],[19604])).
% 16.78/11.65 tff(19606,plain,
% 16.78/11.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 16.78/11.65 inference(transitivity,[status(thm)],[19605, 19603])).
% 16.78/11.65 tff(19607,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node15(s241) | (~node18(s241, s242)) | m_main_v_turn(s242, c_1))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19608,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19607, 19606])).
% 16.78/11.65 tff(19609,plain,
% 16.78/11.65 (node15(s241) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19608, 992, 19602])).
% 16.78/11.65 tff(19610,plain,
% 16.78/11.65 (m_main_v_turn(s242, c_1)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19609, 19598, 19435, 19503])).
% 16.78/11.65 tff(19611,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19612,plain,
% 16.78/11.65 ((~![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)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19613,plain,
% 16.78/11.65 ((~![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))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19612, 19611])).
% 16.78/11.65 tff(19614,plain,
% 16.78/11.65 (~m_main_v_turn(s242, c_2)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19613, 156, 19610])).
% 16.78/11.65 tff(19615,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19616,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s242, c_2) | (~node12(s242)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19617,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s242, c_2) | (~node12(s242))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19616, 19615])).
% 16.78/11.65 tff(19618,plain,
% 16.78/11.65 (~node12(s242)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19617, 184, 19614])).
% 16.78/11.65 tff(19619,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19620,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s242, c_n2) | (~node8(s242)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19621,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s242, c_n2) | (~node8(s242))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19620, 19619])).
% 16.78/11.65 tff(19622,plain,
% 16.78/11.65 (~node8(s242)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19621, 271, 19551])).
% 16.78/11.65 tff(19623,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19624,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s242, c_n2) | (~node9(s242)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19625,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s242, c_n2) | (~node9(s242))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19624, 19623])).
% 16.78/11.65 tff(19626,plain,
% 16.78/11.65 (~node9(s242)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19625, 88, 19551])).
% 16.78/11.65 tff(19627,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19628,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s242, c_n2) | (~node10(s242)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19629,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s242, c_n2) | (~node10(s242))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19628, 19627])).
% 16.78/11.65 tff(19630,plain,
% 16.78/11.65 (~node10(s242)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19629, 249, 19551])).
% 16.78/11.65 tff(19631,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19632,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s242, c_n1) | (~node11(s242)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19633,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s242, c_n1) | (~node11(s242))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19632, 19631])).
% 16.78/11.65 tff(19634,plain,
% 16.78/11.65 (~node11(s242)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19633, 238, 19571])).
% 16.78/11.65 tff(19635,plain,
% 16.78/11.65 (((~![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))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19636,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s242, s243)) | node14(s242, s243))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19637,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s242, s243)) | node14(s242, s243)),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19636, 19635])).
% 16.78/11.65 tff(19638,plain,
% 16.78/11.65 (node14(s242, s243)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19637, 46, 19582])).
% 16.78/11.65 tff(19639,plain,
% 16.78/11.65 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19640,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243) | (~node14(s242, s243)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19641,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243) | (~node14(s242, s243))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19640, 19639])).
% 16.78/11.65 tff(19642,plain,
% 16.78/11.65 (m_main_v_state2(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19641, 296, 19638])).
% 16.78/11.65 tff(19643,plain,
% 16.78/11.65 (node13(s242, s243)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19642, 19634, 19559, 19630, 19626, 19622, 19618])).
% 16.78/11.65 tff(19644,plain,
% 16.78/11.65 (((~![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(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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19645,plain,
% 16.78/11.65 (((~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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19646,plain,
% 16.78/11.65 (((~![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))))),
% 16.78/11.65 inference(monotonicity,[status(thm)],[19645])).
% 16.78/11.65 tff(19647,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(transitivity,[status(thm)],[19646, 19644])).
% 16.78/11.65 tff(19648,plain,
% 16.78/11.65 ((~![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))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19649,plain,
% 16.78/11.65 ((~![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(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19648, 19647])).
% 16.78/11.65 tff(19650,plain,
% 16.78/11.65 (m_main_v_state2(s243, c_t2)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19649, 518, 19547, 19643])).
% 16.78/11.65 tff(19651,plain,
% 16.78/11.65 (succ(s243, s244) <=> succ(s243, s244)),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19652,axiom,(succ(s243, s244)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound244')).
% 16.78/11.65 tff(19653,plain,
% 16.78/11.65 (succ(s243, s244)),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19652, 19651])).
% 16.78/11.65 tff(19654,plain,
% 16.78/11.65 (((~![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))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19655,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19656,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244)),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19655, 19654])).
% 16.78/11.65 tff(19657,plain,
% 16.78/11.65 (trans(s243, s244)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19656, 19653, 32])).
% 16.78/11.65 tff(19658,plain,
% 16.78/11.65 (((~![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))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19659,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s243, s244)) | node7(s243, s244))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19660,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s243, s244)) | node7(s243, s244)),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19659, 19658])).
% 16.78/11.65 tff(19661,plain,
% 16.78/11.65 (node7(s243, s244)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19660, 206, 19657])).
% 16.78/11.65 tff(19662,plain,
% 16.78/11.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19663,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19664,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19663, 19662])).
% 16.78/11.65 tff(19665,plain,
% 16.78/11.65 ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | m_main_v_state1(s244, c_t1)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19664, 651, 19661])).
% 16.78/11.65 tff(19666,plain,
% 16.78/11.65 (m_main_v_state1(s244, c_t1)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19665, 19650, 19594])).
% 16.78/11.65 tff(19667,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19668,plain,
% 16.78/11.65 ((~![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)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19669,plain,
% 16.78/11.65 ((~![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))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19668, 19667])).
% 16.78/11.65 tff(19670,plain,
% 16.78/11.65 (~m_main_v_state1(s244, c_n1)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19669, 10, 19666])).
% 16.78/11.65 tff(19671,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19672,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s244, c_n1) | (~node1(s244)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19673,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s244, c_n1) | (~node1(s244))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19672, 19671])).
% 16.78/11.65 tff(19674,plain,
% 16.78/11.65 (~node1(s244)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19673, 421, 19670])).
% 16.78/11.65 tff(19675,plain,
% 16.78/11.65 (((~![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))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19676,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s243, s244)) | node18(s243, s244))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19677,plain,
% 16.78/11.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s243, s244)) | node18(s243, s244)),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19676, 19675])).
% 16.78/11.65 tff(19678,plain,
% 16.78/11.65 (node18(s243, s244)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19677, 125, 19657])).
% 16.78/11.65 tff(19679,plain,
% 16.78/11.65 (((~![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(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))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19680,plain,
% 16.78/11.65 ((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node18(s243, s244)) | m_main_v_turn(s244, c_2))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19681,plain,
% 16.78/11.65 ((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node18(s243, s244)) | m_main_v_turn(s244, c_2)),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19680, 19679])).
% 16.78/11.65 tff(19682,plain,
% 16.78/11.65 ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | m_main_v_turn(s244, c_2)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19681, 760, 19678])).
% 16.78/11.65 tff(19683,plain,
% 16.78/11.65 (m_main_v_turn(s244, c_2)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19682, 19650, 19594])).
% 16.78/11.65 tff(19684,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19685,plain,
% 16.78/11.65 ((~![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)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19686,plain,
% 16.78/11.65 ((~![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))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19685, 19684])).
% 16.78/11.65 tff(19687,plain,
% 16.78/11.65 (~m_main_v_turn(s244, c_1)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19686, 156, 19683])).
% 16.78/11.65 tff(19688,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19689,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s244, c_1) | (~node5(s244)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19690,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s244, c_1) | (~node5(s244))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19689, 19688])).
% 16.78/11.65 tff(19691,plain,
% 16.78/11.65 (~node5(s244)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19690, 776, 19687])).
% 16.78/11.65 tff(19692,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19693,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s244, c_n1) | (~node2(s244)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19694,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s244, c_n1) | (~node2(s244))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 16.78/11.65 tff(19695,plain,
% 16.78/11.65 (~node2(s244)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19694, 787, 19670])).
% 16.78/11.65 tff(19696,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19697,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s244, c_n1) | (~node3(s244)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19698,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s244, c_n1) | (~node3(s244))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19697, 19696])).
% 16.78/11.65 tff(19699,plain,
% 16.78/11.65 (~node3(s244)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19698, 798, 19670])).
% 16.78/11.65 tff(19700,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19701,plain,
% 16.78/11.65 ((~![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)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19702,plain,
% 16.78/11.65 ((~![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))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19701, 19700])).
% 16.78/11.65 tff(19703,plain,
% 16.78/11.65 (~m_main_v_state1(s244, c_c1)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19702, 539, 19666])).
% 16.78/11.65 tff(19704,plain,
% 16.78/11.65 (((~![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(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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19705,plain,
% 16.78/11.65 (((~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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19706,plain,
% 16.78/11.65 (((~![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))))),
% 16.78/11.65 inference(monotonicity,[status(thm)],[19705])).
% 16.78/11.65 tff(19707,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(transitivity,[status(thm)],[19706, 19704])).
% 16.78/11.65 tff(19708,plain,
% 16.78/11.65 ((~![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)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19709,plain,
% 16.78/11.65 ((~![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(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19708, 19707])).
% 16.78/11.65 tff(19710,plain,
% 16.78/11.65 (~m_main_v_state2(s243, c_n2)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19709, 311, 19551, 19643])).
% 16.78/11.65 tff(19711,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19712,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s243, c_n2) | (~node9(s243)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19713,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s243, c_n2) | (~node9(s243))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19712, 19711])).
% 16.78/11.65 tff(19714,plain,
% 16.78/11.65 (~node9(s243)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19713, 88, 19710])).
% 16.78/11.65 tff(19715,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19716,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s243, c_n2) | (~node10(s243)))),
% 16.78/11.65 inference(quant_inst,[status(thm)],[])).
% 16.78/11.65 tff(19717,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s243, c_n2) | (~node10(s243))),
% 16.78/11.65 inference(modus_ponens,[status(thm)],[19716, 19715])).
% 16.78/11.65 tff(19718,plain,
% 16.78/11.65 (~node10(s243)),
% 16.78/11.65 inference(unit_resolution,[status(thm)],[19717, 249, 19710])).
% 16.78/11.65 tff(19719,plain,
% 16.78/11.65 (((~![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)))),
% 16.78/11.65 inference(rewrite,[status(thm)],[])).
% 16.78/11.65 tff(19720,plain,
% 16.78/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s243, c_n2) | (~node8(s243)))),
% 16.86/11.65 inference(quant_inst,[status(thm)],[])).
% 16.86/11.65 tff(19721,plain,
% 16.86/11.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s243, c_n2) | (~node8(s243))),
% 16.86/11.65 inference(modus_ponens,[status(thm)],[19720, 19719])).
% 16.86/11.65 tff(19722,plain,
% 16.86/11.65 (~node8(s243)),
% 16.86/11.65 inference(unit_resolution,[status(thm)],[19721, 271, 19710])).
% 16.86/11.65 tff(19723,plain,
% 16.86/11.65 (((~![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))),
% 16.86/11.65 inference(rewrite,[status(thm)],[])).
% 16.86/11.65 tff(19724,plain,
% 16.86/11.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s243, s244)) | node14(s243, s244))),
% 16.86/11.65 inference(quant_inst,[status(thm)],[])).
% 16.86/11.65 tff(19725,plain,
% 16.86/11.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s243, s244)) | node14(s243, s244)),
% 16.86/11.65 inference(modus_ponens,[status(thm)],[19724, 19723])).
% 16.86/11.65 tff(19726,plain,
% 16.86/11.65 (node14(s243, s244)),
% 16.86/11.65 inference(unit_resolution,[status(thm)],[19725, 46, 19657])).
% 16.86/11.65 tff(19727,plain,
% 16.86/11.65 (((~![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(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))),
% 16.86/11.65 inference(rewrite,[status(thm)],[])).
% 16.86/11.65 tff(19728,plain,
% 16.86/11.65 ((~![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(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))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19729,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19728, 19727])).
% 16.86/11.66 tff(19730,plain,
% 16.86/11.66 ((~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)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19729, 617, 19726])).
% 16.86/11.66 tff(19731,plain,
% 16.86/11.66 (m_main_v_state2(s244, c_c2)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19730, 19722, 19594, 19650, 19718, 19714])).
% 16.86/11.66 tff(19732,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19733,plain,
% 16.86/11.66 ((~![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)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19734,plain,
% 16.86/11.66 ((~![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))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19733, 19732])).
% 16.86/11.66 tff(19735,plain,
% 16.86/11.66 (~m_main_v_state2(s244, c_n2)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19734, 697, 19731])).
% 16.86/11.66 tff(19736,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19737,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s244, c_n2) | (~node4(s244)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19738,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s244, c_n2) | (~node4(s244))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19737, 19736])).
% 16.86/11.66 tff(19739,plain,
% 16.86/11.66 (~node4(s244)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19738, 388, 19735])).
% 16.86/11.66 tff(19740,plain,
% 16.86/11.66 (succ(s244, s245) <=> succ(s244, s245)),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19741,axiom,(succ(s244, s245)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound245')).
% 16.86/11.66 tff(19742,plain,
% 16.86/11.66 (succ(s244, s245)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19741, 19740])).
% 16.86/11.66 tff(19743,plain,
% 16.86/11.66 (((~![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))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19744,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19745,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19744, 19743])).
% 16.86/11.66 tff(19746,plain,
% 16.86/11.66 (trans(s244, s245)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19745, 19742, 32])).
% 16.86/11.66 tff(19747,plain,
% 16.86/11.66 (((~![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))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19748,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s244, s245)) | node7(s244, s245))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19749,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s244, s245)) | node7(s244, s245)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19748, 19747])).
% 16.86/11.66 tff(19750,plain,
% 16.86/11.66 (node7(s244, s245)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19749, 206, 19746])).
% 16.86/11.66 tff(19751,plain,
% 16.86/11.66 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19752,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245) | (~node7(s244, s245)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19753,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245) | (~node7(s244, s245))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19752, 19751])).
% 16.86/11.66 tff(19754,plain,
% 16.86/11.66 (m_main_v_state1(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19753, 820, 19750])).
% 16.86/11.66 tff(19755,plain,
% 16.86/11.66 (node6(s244, s245)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19754, 19739, 19703, 19699, 19695, 19691, 19674])).
% 16.86/11.66 tff(19756,plain,
% 16.86/11.66 (((~![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(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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19757,plain,
% 16.86/11.66 (((~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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19758,plain,
% 16.86/11.66 (((~![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))))),
% 16.86/11.66 inference(monotonicity,[status(thm)],[19757])).
% 16.86/11.66 tff(19759,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(transitivity,[status(thm)],[19758, 19756])).
% 16.86/11.66 tff(19760,plain,
% 16.86/11.66 ((~![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))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19761,plain,
% 16.86/11.66 ((~![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(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19760, 19759])).
% 16.86/11.66 tff(19762,plain,
% 16.86/11.66 (m_main_v_state1(s245, c_t1)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19761, 856, 19666, 19755])).
% 16.86/11.66 tff(19763,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19764,plain,
% 16.86/11.66 ((~![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)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19765,plain,
% 16.86/11.66 ((~![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))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19764, 19763])).
% 16.86/11.66 tff(19766,plain,
% 16.86/11.66 (~m_main_v_state2(s244, c_t2)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19765, 260, 19731])).
% 16.86/11.66 tff(19767,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19768,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s244, c_t2) | (~node12(s244)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19769,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s244, c_t2) | (~node12(s244))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19768, 19767])).
% 16.86/11.66 tff(19770,plain,
% 16.86/11.66 (~node12(s244)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19769, 633, 19766])).
% 16.86/11.66 tff(19771,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19772,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s244, c_n1) | (~node11(s244)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19773,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s244, c_n1) | (~node11(s244))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19772, 19771])).
% 16.86/11.66 tff(19774,plain,
% 16.86/11.66 (~node11(s244)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19773, 238, 19670])).
% 16.86/11.66 tff(19775,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19776,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s244, c_c1) | (~node10(s244)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19777,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s244, c_c1) | (~node10(s244))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19776, 19775])).
% 16.86/11.66 tff(19778,plain,
% 16.86/11.66 (~node10(s244)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19777, 675, 19703])).
% 16.86/11.66 tff(19779,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19780,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s244, c_n1) | (~node9(s244)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19781,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s244, c_n1) | (~node9(s244))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19780, 19779])).
% 16.86/11.66 tff(19782,plain,
% 16.86/11.66 (~node9(s244)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19781, 686, 19670])).
% 16.86/11.66 tff(19783,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19784,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s244, c_n2) | (~node8(s244)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19785,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s244, c_n2) | (~node8(s244))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19784, 19783])).
% 16.86/11.66 tff(19786,plain,
% 16.86/11.66 (~node8(s244)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19785, 271, 19735])).
% 16.86/11.66 tff(19787,plain,
% 16.86/11.66 (((~![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))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19788,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s244, s245)) | node14(s244, s245))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19789,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s244, s245)) | node14(s244, s245)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19788, 19787])).
% 16.86/11.66 tff(19790,plain,
% 16.86/11.66 (node14(s244, s245)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19789, 46, 19746])).
% 16.86/11.66 tff(19791,plain,
% 16.86/11.66 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19792,plain,
% 16.86/11.66 (((~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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19793,plain,
% 16.86/11.66 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 16.86/11.66 inference(monotonicity,[status(thm)],[19792])).
% 16.86/11.66 tff(19794,plain,
% 16.86/11.66 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 16.86/11.66 inference(transitivity,[status(thm)],[19793, 19791])).
% 16.86/11.66 tff(19795,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19796,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19795, 19794])).
% 16.86/11.66 tff(19797,plain,
% 16.86/11.66 (m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~m_main_v_state2(s244, c_c2))),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19796, 726, 19790])).
% 16.86/11.66 tff(19798,plain,
% 16.86/11.66 (m_main_v_state2(s245, c_n2)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19797, 19786, 19731, 19782, 19778, 19774, 19770])).
% 16.86/11.66 tff(19799,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19800,plain,
% 16.86/11.66 ((~![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)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19801,plain,
% 16.86/11.66 ((~![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))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19800, 19799])).
% 16.86/11.66 tff(19802,plain,
% 16.86/11.66 (~m_main_v_state2(s245, c_t2)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19801, 77, 19798])).
% 16.86/11.66 tff(19803,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19804,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s245, c_t2) | (~node15(s245)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19805,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s245, c_t2) | (~node15(s245))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19804, 19803])).
% 16.86/11.66 tff(19806,plain,
% 16.86/11.66 (~node15(s245)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19805, 103, 19802])).
% 16.86/11.66 tff(19807,plain,
% 16.86/11.66 (succ(s245, s246) <=> succ(s245, s246)),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19808,axiom,(succ(s245, s246)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound246')).
% 16.86/11.66 tff(19809,plain,
% 16.86/11.66 (succ(s245, s246)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19808, 19807])).
% 16.86/11.66 tff(19810,plain,
% 16.86/11.66 (((~![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))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19811,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19812,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19811, 19810])).
% 16.86/11.66 tff(19813,plain,
% 16.86/11.66 (trans(s245, s246)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19812, 19809, 32])).
% 16.86/11.66 tff(19814,plain,
% 16.86/11.66 (((~![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))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19815,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s245, s246)) | node18(s245, s246))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19816,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s245, s246)) | node18(s245, s246)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19815, 19814])).
% 16.86/11.66 tff(19817,plain,
% 16.86/11.66 (node18(s245, s246)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19816, 125, 19813])).
% 16.86/11.66 tff(19818,plain,
% 16.86/11.66 (((~![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(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))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19819,plain,
% 16.86/11.66 (((~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))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19820,plain,
% 16.86/11.66 (((~![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(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)))),
% 16.86/11.66 inference(monotonicity,[status(thm)],[19819])).
% 16.86/11.66 tff(19821,plain,
% 16.86/11.66 (((~![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(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))),
% 16.86/11.66 inference(transitivity,[status(thm)],[19820, 19818])).
% 16.86/11.66 tff(19822,plain,
% 16.86/11.66 ((~![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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node15(s245) | (~node18(s245, s246)) | m_main_v_turn(s246, c_1))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19823,plain,
% 16.86/11.66 ((~![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(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)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19822, 19821])).
% 16.86/11.66 tff(19824,plain,
% 16.86/11.66 (node15(s245) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19823, 992, 19817])).
% 16.86/11.66 tff(19825,plain,
% 16.86/11.66 (m_main_v_turn(s246, c_1)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19824, 19806, 19798, 19762])).
% 16.86/11.66 tff(19826,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19827,plain,
% 16.86/11.66 ((~![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)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19828,plain,
% 16.86/11.66 ((~![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))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19827, 19826])).
% 16.86/11.66 tff(19829,plain,
% 16.86/11.66 (~m_main_v_turn(s246, c_2)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19828, 156, 19825])).
% 16.86/11.66 tff(19830,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19831,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s246, c_2) | (~node12(s246)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19832,plain,
% 16.86/11.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s246, c_2) | (~node12(s246))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19831, 19830])).
% 16.86/11.66 tff(19833,plain,
% 16.86/11.66 (~node12(s246)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19832, 184, 19829])).
% 16.86/11.66 tff(19834,plain,
% 16.86/11.66 (((~![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))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19835,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s245, s246)) | node14(s245, s246))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19836,plain,
% 16.86/11.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s245, s246)) | node14(s245, s246)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19835, 19834])).
% 16.86/11.66 tff(19837,plain,
% 16.86/11.66 (node14(s245, s246)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19836, 46, 19813])).
% 16.86/11.66 tff(19838,plain,
% 16.86/11.66 (((~![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(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))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19839,plain,
% 16.86/11.66 ((~![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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | (~node14(s245, s246)) | m_main_v_state2(s246, c_t2))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19840,plain,
% 16.86/11.66 ((~![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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | (~node14(s245, s246)) | m_main_v_state2(s246, c_t2)),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19839, 19838])).
% 16.86/11.66 tff(19841,plain,
% 16.86/11.66 ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state2(s246, c_t2)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19840, 922, 19837])).
% 16.86/11.66 tff(19842,plain,
% 16.86/11.66 (m_main_v_state2(s246, c_t2)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19841, 19762, 19798])).
% 16.86/11.66 tff(19843,plain,
% 16.86/11.66 (((~![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)))),
% 16.86/11.66 inference(rewrite,[status(thm)],[])).
% 16.86/11.66 tff(19844,plain,
% 16.86/11.66 ((~![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)))),
% 16.86/11.66 inference(quant_inst,[status(thm)],[])).
% 16.86/11.66 tff(19845,plain,
% 16.86/11.66 ((~![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))),
% 16.86/11.66 inference(modus_ponens,[status(thm)],[19844, 19843])).
% 16.86/11.66 tff(19846,plain,
% 16.86/11.66 (~m_main_v_state2(s246, c_n2)),
% 16.86/11.66 inference(unit_resolution,[status(thm)],[19845, 77, 19842])).
% 16.86/11.67 tff(19847,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19848,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s246, c_n2) | (~node8(s246)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19849,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s246, c_n2) | (~node8(s246))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19848, 19847])).
% 16.86/11.67 tff(19850,plain,
% 16.86/11.67 (~node8(s246)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19849, 271, 19846])).
% 16.86/11.67 tff(19851,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19852,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s246, c_n2) | (~node9(s246)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19853,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s246, c_n2) | (~node9(s246))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19852, 19851])).
% 16.86/11.67 tff(19854,plain,
% 16.86/11.67 (~node9(s246)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19853, 88, 19846])).
% 16.86/11.67 tff(19855,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19856,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s246, c_n2) | (~node10(s246)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19857,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s246, c_n2) | (~node10(s246))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19856, 19855])).
% 16.86/11.67 tff(19858,plain,
% 16.86/11.67 (~node10(s246)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19857, 249, 19846])).
% 16.86/11.67 tff(19859,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19860,plain,
% 16.86/11.67 ((~![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)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19861,plain,
% 16.86/11.67 ((~![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))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19860, 19859])).
% 16.86/11.67 tff(19862,plain,
% 16.86/11.67 (~m_main_v_state2(s246, c_c2)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19861, 260, 19842])).
% 16.86/11.67 tff(19863,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19864,plain,
% 16.86/11.67 ((~![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)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19865,plain,
% 16.86/11.67 ((~![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))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19864, 19863])).
% 16.86/11.67 tff(19866,plain,
% 16.86/11.67 (~m_main_v_state2(s245, c_c2)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19865, 697, 19798])).
% 16.86/11.67 tff(19867,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19868,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s245, c_c2) | (~node3(s245)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19869,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s245, c_c2) | (~node3(s245))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19868, 19867])).
% 16.86/11.67 tff(19870,plain,
% 16.86/11.67 (~node3(s245)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19869, 399, 19866])).
% 16.86/11.67 tff(19871,plain,
% 16.86/11.67 (((~![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(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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19872,plain,
% 16.86/11.67 (((~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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19873,plain,
% 16.86/11.67 (((~![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))))),
% 16.86/11.67 inference(monotonicity,[status(thm)],[19872])).
% 16.86/11.67 tff(19874,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(transitivity,[status(thm)],[19873, 19871])).
% 16.86/11.67 tff(19875,plain,
% 16.86/11.67 ((~![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)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19876,plain,
% 16.86/11.67 ((~![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(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19875, 19874])).
% 16.86/11.67 tff(19877,plain,
% 16.86/11.67 (~m_main_v_state1(s245, c_n1)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19876, 835, 19670, 19755])).
% 16.86/11.67 tff(19878,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19879,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s245, c_n1) | (~node2(s245)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19880,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s245, c_n1) | (~node2(s245))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19879, 19878])).
% 16.86/11.67 tff(19881,plain,
% 16.86/11.67 (~node2(s245)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19880, 787, 19877])).
% 16.86/11.67 tff(19882,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19883,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s245, c_t2) | (~node1(s245)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19884,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s245, c_t2) | (~node1(s245))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19883, 19882])).
% 16.86/11.67 tff(19885,plain,
% 16.86/11.67 (~node1(s245)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19884, 195, 19802])).
% 16.86/11.67 tff(19886,plain,
% 16.86/11.67 (((~![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))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19887,plain,
% 16.86/11.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s245, s246)) | node7(s245, s246))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19888,plain,
% 16.86/11.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s245, s246)) | node7(s245, s246)),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19887, 19886])).
% 16.86/11.67 tff(19889,plain,
% 16.86/11.67 (node7(s245, s246)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19888, 206, 19813])).
% 16.86/11.67 tff(19890,plain,
% 16.86/11.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19891,plain,
% 16.86/11.67 (((~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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19892,plain,
% 16.86/11.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 16.86/11.67 inference(monotonicity,[status(thm)],[19891])).
% 16.86/11.67 tff(19893,plain,
% 16.86/11.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.86/11.67 inference(transitivity,[status(thm)],[19892, 19890])).
% 16.86/11.67 tff(19894,plain,
% 16.86/11.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19895,plain,
% 16.86/11.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19894, 19893])).
% 16.86/11.67 tff(19896,plain,
% 16.86/11.67 ((~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)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19895, 892, 19889])).
% 16.86/11.67 tff(19897,plain,
% 16.86/11.67 (m_main_v_state1(s246, c_c1)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19896, 19885, 19798, 19762, 19881, 19870])).
% 16.86/11.67 tff(19898,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19899,plain,
% 16.86/11.67 ((~![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)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19900,plain,
% 16.86/11.67 ((~![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))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19899, 19898])).
% 16.86/11.67 tff(19901,plain,
% 16.86/11.67 (~m_main_v_state1(s246, c_n1)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19900, 454, 19897])).
% 16.86/11.67 tff(19902,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19903,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s246, c_n1) | (~node11(s246)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19904,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s246, c_n1) | (~node11(s246))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19903, 19902])).
% 16.86/11.67 tff(19905,plain,
% 16.86/11.67 (~node11(s246)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19904, 238, 19901])).
% 16.86/11.67 tff(19906,plain,
% 16.86/11.67 (succ(s246, s247) <=> succ(s246, s247)),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19907,axiom,(succ(s246, s247)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound247')).
% 16.86/11.67 tff(19908,plain,
% 16.86/11.67 (succ(s246, s247)),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 16.86/11.67 tff(19909,plain,
% 16.86/11.67 (((~![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))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19910,plain,
% 16.86/11.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19911,plain,
% 16.86/11.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247)),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19910, 19909])).
% 16.86/11.67 tff(19912,plain,
% 16.86/11.67 (trans(s246, s247)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19911, 19908, 32])).
% 16.86/11.67 tff(19913,plain,
% 16.86/11.67 (((~![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))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19914,plain,
% 16.86/11.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s246, s247)) | node14(s246, s247))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19915,plain,
% 16.86/11.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s246, s247)) | node14(s246, s247)),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19914, 19913])).
% 16.86/11.67 tff(19916,plain,
% 16.86/11.67 (node14(s246, s247)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19915, 46, 19912])).
% 16.86/11.67 tff(19917,plain,
% 16.86/11.67 (((~![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(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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19918,plain,
% 16.86/11.67 ((~![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(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247) | (~node14(s246, s247)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19919,plain,
% 16.86/11.67 ((~![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(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247) | (~node14(s246, s247))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19918, 19917])).
% 16.86/11.67 tff(19920,plain,
% 16.86/11.67 (m_main_v_state2(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19919, 296, 19916])).
% 16.86/11.67 tff(19921,plain,
% 16.86/11.67 (node13(s246, s247)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19920, 19905, 19862, 19858, 19854, 19850, 19833])).
% 16.86/11.67 tff(19922,plain,
% 16.86/11.67 (((~![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(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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19923,plain,
% 16.86/11.67 (((~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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19924,plain,
% 16.86/11.67 (((~![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))))),
% 16.86/11.67 inference(monotonicity,[status(thm)],[19923])).
% 16.86/11.67 tff(19925,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(transitivity,[status(thm)],[19924, 19922])).
% 16.86/11.67 tff(19926,plain,
% 16.86/11.67 ((~![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)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19927,plain,
% 16.86/11.67 ((~![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(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19926, 19925])).
% 16.86/11.67 tff(19928,plain,
% 16.86/11.67 (~m_main_v_state2(s247, c_n2)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19927, 311, 19846, 19921])).
% 16.86/11.67 tff(19929,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19930,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s247, c_n2) | (~node9(s247)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19931,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s247, c_n2) | (~node9(s247))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19930, 19929])).
% 16.86/11.67 tff(19932,plain,
% 16.86/11.67 (~node9(s247)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19931, 88, 19928])).
% 16.86/11.67 tff(19933,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19934,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s247, c_n2) | (~node10(s247)))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19935,plain,
% 16.86/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s247, c_n2) | (~node10(s247))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19934, 19933])).
% 16.86/11.67 tff(19936,plain,
% 16.86/11.67 (~node10(s247)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19935, 249, 19928])).
% 16.86/11.67 tff(19937,plain,
% 16.86/11.67 (((~![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(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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19938,plain,
% 16.86/11.67 (((~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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19939,plain,
% 16.86/11.67 (((~![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))))),
% 16.86/11.67 inference(monotonicity,[status(thm)],[19938])).
% 16.86/11.67 tff(19940,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(transitivity,[status(thm)],[19939, 19937])).
% 16.86/11.67 tff(19941,plain,
% 16.86/11.67 ((~![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))),
% 16.86/11.67 inference(quant_inst,[status(thm)],[])).
% 16.86/11.67 tff(19942,plain,
% 16.86/11.67 ((~![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(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247))),
% 16.86/11.67 inference(modus_ponens,[status(thm)],[19941, 19940])).
% 16.86/11.67 tff(19943,plain,
% 16.86/11.67 (m_main_v_state2(s247, c_t2)),
% 16.86/11.67 inference(unit_resolution,[status(thm)],[19942, 518, 19842, 19921])).
% 16.86/11.67 tff(19944,plain,
% 16.86/11.67 (((~![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)))),
% 16.86/11.67 inference(rewrite,[status(thm)],[])).
% 16.86/11.67 tff(19945,plain,
% 16.86/11.67 ((~![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)))),
% 16.88/11.67 inference(quant_inst,[status(thm)],[])).
% 16.88/11.67 tff(19946,plain,
% 16.88/11.67 ((~![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))),
% 16.88/11.67 inference(modus_ponens,[status(thm)],[19945, 19944])).
% 16.88/11.67 tff(19947,plain,
% 16.88/11.67 (~m_main_v_state1(s246, c_t1)),
% 16.88/11.67 inference(unit_resolution,[status(thm)],[19946, 539, 19897])).
% 16.88/11.67 tff(19948,plain,
% 16.88/11.67 (((~![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)))),
% 16.88/11.67 inference(rewrite,[status(thm)],[])).
% 16.88/11.67 tff(19949,plain,
% 16.88/11.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s246, c_t1) | (~node5(s246)))),
% 16.88/11.67 inference(quant_inst,[status(thm)],[])).
% 16.88/11.67 tff(19950,plain,
% 16.88/11.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s246, c_t1) | (~node5(s246))),
% 16.88/11.67 inference(modus_ponens,[status(thm)],[19949, 19948])).
% 16.88/11.67 tff(19951,plain,
% 16.88/11.67 (~node5(s246)),
% 16.88/11.67 inference(unit_resolution,[status(thm)],[19950, 550, 19947])).
% 16.88/11.67 tff(19952,plain,
% 16.88/11.67 (((~![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)))),
% 16.88/11.67 inference(rewrite,[status(thm)],[])).
% 16.88/11.67 tff(19953,plain,
% 16.88/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s246, c_n2) | (~node4(s246)))),
% 16.88/11.67 inference(quant_inst,[status(thm)],[])).
% 16.88/11.67 tff(19954,plain,
% 16.88/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s246, c_n2) | (~node4(s246))),
% 16.88/11.67 inference(modus_ponens,[status(thm)],[19953, 19952])).
% 16.88/11.67 tff(19955,plain,
% 16.88/11.67 (~node4(s246)),
% 16.88/11.67 inference(unit_resolution,[status(thm)],[19954, 388, 19846])).
% 16.88/11.67 tff(19956,plain,
% 16.88/11.67 (((~![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)))),
% 16.88/11.67 inference(rewrite,[status(thm)],[])).
% 16.88/11.67 tff(19957,plain,
% 16.88/11.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s246, c_c2) | (~node3(s246)))),
% 16.88/11.67 inference(quant_inst,[status(thm)],[])).
% 16.88/11.67 tff(19958,plain,
% 16.88/11.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s246, c_c2) | (~node3(s246))),
% 16.88/11.67 inference(modus_ponens,[status(thm)],[19957, 19956])).
% 16.88/11.67 tff(19959,plain,
% 16.88/11.67 (~node3(s246)),
% 16.88/11.67 inference(unit_resolution,[status(thm)],[19958, 399, 19862])).
% 16.88/11.67 tff(19960,plain,
% 16.88/11.67 (((~![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)))),
% 16.88/11.67 inference(rewrite,[status(thm)],[])).
% 16.88/11.67 tff(19961,plain,
% 16.88/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s246, c_n2) | (~node2(s246)))),
% 16.88/11.67 inference(quant_inst,[status(thm)],[])).
% 16.88/11.67 tff(19962,plain,
% 16.88/11.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s246, c_n2) | (~node2(s246))),
% 16.88/11.67 inference(modus_ponens,[status(thm)],[19961, 19960])).
% 16.88/11.67 tff(19963,plain,
% 16.88/11.67 (~node2(s246)),
% 16.88/11.67 inference(unit_resolution,[status(thm)],[19962, 410, 19846])).
% 16.88/11.67 tff(19964,plain,
% 16.88/11.67 (((~![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)))),
% 16.88/11.67 inference(rewrite,[status(thm)],[])).
% 16.88/11.67 tff(19965,plain,
% 16.88/11.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s246, c_n1) | (~node1(s246)))),
% 16.88/11.67 inference(quant_inst,[status(thm)],[])).
% 16.88/11.67 tff(19966,plain,
% 16.88/11.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s246, c_n1) | (~node1(s246))),
% 16.88/11.67 inference(modus_ponens,[status(thm)],[19965, 19964])).
% 16.88/11.67 tff(19967,plain,
% 16.88/11.67 (~node1(s246)),
% 16.88/11.67 inference(unit_resolution,[status(thm)],[19966, 421, 19901])).
% 16.88/11.68 tff(19968,plain,
% 16.88/11.68 (((~![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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(19969,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s246, s247)) | node7(s246, s247))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(19970,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s246, s247)) | node7(s246, s247)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[19969, 19968])).
% 16.88/11.68 tff(19971,plain,
% 16.88/11.68 (node7(s246, s247)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[19970, 206, 19912])).
% 16.88/11.68 tff(19972,plain,
% 16.88/11.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(19973,plain,
% 16.88/11.68 (((~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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(19974,plain,
% 16.88/11.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 16.88/11.68 inference(monotonicity,[status(thm)],[19973])).
% 16.88/11.68 tff(19975,plain,
% 16.88/11.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 16.88/11.68 inference(transitivity,[status(thm)],[19974, 19972])).
% 16.88/11.68 tff(19976,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)) | m_main_v_state1(s247, c_n1))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(19977,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[19976, 19975])).
% 16.88/11.68 tff(19978,plain,
% 16.88/11.68 (m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[19977, 584, 19971])).
% 16.88/11.68 tff(19979,plain,
% 16.88/11.68 (m_main_v_state1(s247, c_n1)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[19978, 19967, 19897, 19963, 19959, 19955, 19951])).
% 16.88/11.68 tff(19980,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(19981,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s247, c_n2) | (~node8(s247)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(19982,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s247, c_n2) | (~node8(s247))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[19981, 19980])).
% 16.88/11.68 tff(19983,plain,
% 16.88/11.68 (~node8(s247)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[19982, 271, 19928])).
% 16.88/11.68 tff(19984,plain,
% 16.88/11.68 (succ(s247, s248) <=> succ(s247, s248)),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(19985,axiom,(succ(s247, s248)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound248')).
% 16.88/11.68 tff(19986,plain,
% 16.88/11.68 (succ(s247, s248)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[19985, 19984])).
% 16.88/11.68 tff(19987,plain,
% 16.88/11.68 (((~![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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(19988,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(19989,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[19988, 19987])).
% 16.88/11.68 tff(19990,plain,
% 16.88/11.68 (trans(s247, s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[19989, 19986, 32])).
% 16.88/11.68 tff(19991,plain,
% 16.88/11.68 (((~![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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(19992,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s247, s248)) | node14(s247, s248))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(19993,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s247, s248)) | node14(s247, s248)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[19992, 19991])).
% 16.88/11.68 tff(19994,plain,
% 16.88/11.68 (node14(s247, s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[19993, 46, 19990])).
% 16.88/11.68 tff(19995,plain,
% 16.88/11.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(19996,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(19997,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[19996, 19995])).
% 16.88/11.68 tff(19998,plain,
% 16.88/11.68 ((~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)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[19997, 617, 19994])).
% 16.88/11.68 tff(19999,plain,
% 16.88/11.68 (m_main_v_state2(s248, c_c2)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[19998, 19983, 19979, 19943, 19936, 19932])).
% 16.88/11.68 tff(20000,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20001,plain,
% 16.88/11.68 ((~![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)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20002,plain,
% 16.88/11.68 ((~![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))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20001, 20000])).
% 16.88/11.68 tff(20003,plain,
% 16.88/11.68 (~m_main_v_state2(s248, c_t2)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20002, 260, 19999])).
% 16.88/11.68 tff(20004,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20005,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s248, c_t2) | (~node12(s248)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20006,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s248, c_t2) | (~node12(s248))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20005, 20004])).
% 16.88/11.68 tff(20007,plain,
% 16.88/11.68 (~node12(s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20006, 633, 20003])).
% 16.88/11.68 tff(20008,plain,
% 16.88/11.68 (((~![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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20009,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s247, s248)) | node7(s247, s248))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20010,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s247, s248)) | node7(s247, s248)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20009, 20008])).
% 16.88/11.68 tff(20011,plain,
% 16.88/11.68 (node7(s247, s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20010, 206, 19990])).
% 16.88/11.68 tff(20012,plain,
% 16.88/11.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20013,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20014,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20013, 20012])).
% 16.88/11.68 tff(20015,plain,
% 16.88/11.68 ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | m_main_v_state1(s248, c_t1)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20014, 651, 20011])).
% 16.88/11.68 tff(20016,plain,
% 16.88/11.68 (m_main_v_state1(s248, c_t1)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20015, 19943, 19979])).
% 16.88/11.68 tff(20017,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20018,plain,
% 16.88/11.68 ((~![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)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20019,plain,
% 16.88/11.68 ((~![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))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20018, 20017])).
% 16.88/11.68 tff(20020,plain,
% 16.88/11.68 (~m_main_v_state1(s248, c_n1)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20019, 10, 20016])).
% 16.88/11.68 tff(20021,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20022,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s248, c_n1) | (~node11(s248)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20023,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s248, c_n1) | (~node11(s248))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20022, 20021])).
% 16.88/11.68 tff(20024,plain,
% 16.88/11.68 (~node11(s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20023, 238, 20020])).
% 16.88/11.68 tff(20025,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20026,plain,
% 16.88/11.68 ((~![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)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20027,plain,
% 16.88/11.68 ((~![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))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20026, 20025])).
% 16.88/11.68 tff(20028,plain,
% 16.88/11.68 (~m_main_v_state1(s248, c_c1)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20027, 539, 20016])).
% 16.88/11.68 tff(20029,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20030,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s248, c_c1) | (~node10(s248)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20031,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s248, c_c1) | (~node10(s248))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20030, 20029])).
% 16.88/11.68 tff(20032,plain,
% 16.88/11.68 (~node10(s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20031, 675, 20028])).
% 16.88/11.68 tff(20033,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20034,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s248, c_n1) | (~node9(s248)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20035,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s248, c_n1) | (~node9(s248))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20034, 20033])).
% 16.88/11.68 tff(20036,plain,
% 16.88/11.68 (~node9(s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20035, 686, 20020])).
% 16.88/11.68 tff(20037,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20038,plain,
% 16.88/11.68 ((~![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)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20039,plain,
% 16.88/11.68 ((~![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))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20038, 20037])).
% 16.88/11.68 tff(20040,plain,
% 16.88/11.68 (~m_main_v_state2(s248, c_n2)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20039, 697, 19999])).
% 16.88/11.68 tff(20041,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20042,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s248, c_n2) | (~node8(s248)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20043,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s248, c_n2) | (~node8(s248))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20042, 20041])).
% 16.88/11.68 tff(20044,plain,
% 16.88/11.68 (~node8(s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20043, 271, 20040])).
% 16.88/11.68 tff(20045,plain,
% 16.88/11.68 (succ(s248, s249) <=> succ(s248, s249)),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20046,axiom,(succ(s248, s249)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound249')).
% 16.88/11.68 tff(20047,plain,
% 16.88/11.68 (succ(s248, s249)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20046, 20045])).
% 16.88/11.68 tff(20048,plain,
% 16.88/11.68 (((~![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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20049,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20050,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20049, 20048])).
% 16.88/11.68 tff(20051,plain,
% 16.88/11.68 (trans(s248, s249)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20050, 20047, 32])).
% 16.88/11.68 tff(20052,plain,
% 16.88/11.68 (((~![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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20053,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s248, s249)) | node14(s248, s249))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20054,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s248, s249)) | node14(s248, s249)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20053, 20052])).
% 16.88/11.68 tff(20055,plain,
% 16.88/11.68 (node14(s248, s249)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20054, 46, 20051])).
% 16.88/11.68 tff(20056,plain,
% 16.88/11.68 (((~![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(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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20057,plain,
% 16.88/11.68 (((~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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20058,plain,
% 16.88/11.68 (((~![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(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))))),
% 16.88/11.68 inference(monotonicity,[status(thm)],[20057])).
% 16.88/11.68 tff(20059,plain,
% 16.88/11.68 (((~![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(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)))),
% 16.88/11.68 inference(transitivity,[status(thm)],[20058, 20056])).
% 16.88/11.68 tff(20060,plain,
% 16.88/11.68 ((~![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(s248, c_c2)) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | m_main_v_state2(s249, c_n2))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20061,plain,
% 16.88/11.68 ((~![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(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20060, 20059])).
% 16.88/11.68 tff(20062,plain,
% 16.88/11.68 (m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~m_main_v_state2(s248, c_c2))),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20061, 726, 20055])).
% 16.88/11.68 tff(20063,plain,
% 16.88/11.68 (m_main_v_state2(s249, c_n2)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20062, 20044, 19999, 20036, 20032, 20024, 20007])).
% 16.88/11.68 tff(20064,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20065,plain,
% 16.88/11.68 ((~![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)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20066,plain,
% 16.88/11.68 ((~![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))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20065, 20064])).
% 16.88/11.68 tff(20067,plain,
% 16.88/11.68 (~m_main_v_state2(s249, c_c2)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20066, 697, 20063])).
% 16.88/11.68 tff(20068,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20069,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s249, c_c2) | (~node3(s249)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20070,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s249, c_c2) | (~node3(s249))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20069, 20068])).
% 16.88/11.68 tff(20071,plain,
% 16.88/11.68 (~node3(s249)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20070, 399, 20067])).
% 16.88/11.68 tff(20072,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20073,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s248, c_n1) | (~node1(s248)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20074,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s248, c_n1) | (~node1(s248))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20073, 20072])).
% 16.88/11.68 tff(20075,plain,
% 16.88/11.68 (~node1(s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20074, 421, 20020])).
% 16.88/11.68 tff(20076,plain,
% 16.88/11.68 (((~![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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20077,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s247, s248)) | node18(s247, s248))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20078,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s247, s248)) | node18(s247, s248)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20077, 20076])).
% 16.88/11.68 tff(20079,plain,
% 16.88/11.68 (node18(s247, s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20078, 125, 19990])).
% 16.88/11.68 tff(20080,plain,
% 16.88/11.68 (((~![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(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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20081,plain,
% 16.88/11.68 ((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node18(s247, s248)) | m_main_v_turn(s248, c_2))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20082,plain,
% 16.88/11.68 ((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node18(s247, s248)) | m_main_v_turn(s248, c_2)),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20081, 20080])).
% 16.88/11.68 tff(20083,plain,
% 16.88/11.68 ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | m_main_v_turn(s248, c_2)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20082, 760, 20079])).
% 16.88/11.68 tff(20084,plain,
% 16.88/11.68 (m_main_v_turn(s248, c_2)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20083, 19943, 19979])).
% 16.88/11.68 tff(20085,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20086,plain,
% 16.88/11.68 ((~![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)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20087,plain,
% 16.88/11.68 ((~![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))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20086, 20085])).
% 16.88/11.68 tff(20088,plain,
% 16.88/11.68 (~m_main_v_turn(s248, c_1)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20087, 156, 20084])).
% 16.88/11.68 tff(20089,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20090,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s248, c_1) | (~node5(s248)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20091,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s248, c_1) | (~node5(s248))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20090, 20089])).
% 16.88/11.68 tff(20092,plain,
% 16.88/11.68 (~node5(s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20091, 776, 20088])).
% 16.88/11.68 tff(20093,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20094,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s248, c_n1) | (~node2(s248)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20095,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s248, c_n1) | (~node2(s248))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20094, 20093])).
% 16.88/11.68 tff(20096,plain,
% 16.88/11.68 (~node2(s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20095, 787, 20020])).
% 16.88/11.68 tff(20097,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20098,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s248, c_n1) | (~node3(s248)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20099,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s248, c_n1) | (~node3(s248))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20098, 20097])).
% 16.88/11.68 tff(20100,plain,
% 16.88/11.68 (~node3(s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20099, 798, 20020])).
% 16.88/11.68 tff(20101,plain,
% 16.88/11.68 (((~![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)))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20102,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s248, c_n2) | (~node4(s248)))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20103,plain,
% 16.88/11.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s248, c_n2) | (~node4(s248))),
% 16.88/11.68 inference(modus_ponens,[status(thm)],[20102, 20101])).
% 16.88/11.68 tff(20104,plain,
% 16.88/11.68 (~node4(s248)),
% 16.88/11.68 inference(unit_resolution,[status(thm)],[20103, 388, 20040])).
% 16.88/11.68 tff(20105,plain,
% 16.88/11.68 (((~![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))),
% 16.88/11.68 inference(rewrite,[status(thm)],[])).
% 16.88/11.68 tff(20106,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s248, s249)) | node7(s248, s249))),
% 16.88/11.68 inference(quant_inst,[status(thm)],[])).
% 16.88/11.68 tff(20107,plain,
% 16.88/11.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s248, s249)) | node7(s248, s249)),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20106, 20105])).
% 16.88/11.69 tff(20108,plain,
% 16.88/11.69 (node7(s248, s249)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20107, 206, 20051])).
% 16.88/11.69 tff(20109,plain,
% 16.88/11.69 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20110,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249) | (~node7(s248, s249)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20111,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249) | (~node7(s248, s249))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20110, 20109])).
% 16.88/11.69 tff(20112,plain,
% 16.88/11.69 (m_main_v_state1(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20111, 820, 20108])).
% 16.88/11.69 tff(20113,plain,
% 16.88/11.69 (node6(s248, s249)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20112, 20104, 20028, 20100, 20096, 20092, 20075])).
% 16.88/11.69 tff(20114,plain,
% 16.88/11.69 (((~![V: $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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20115,plain,
% 16.88/11.69 (((~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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20116,plain,
% 16.88/11.69 (((~![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))))),
% 16.88/11.69 inference(monotonicity,[status(thm)],[20115])).
% 16.88/11.69 tff(20117,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(transitivity,[status(thm)],[20116, 20114])).
% 16.88/11.69 tff(20118,plain,
% 16.88/11.69 ((~![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)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20119,plain,
% 16.88/11.69 ((~![V: $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))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20118, 20117])).
% 16.88/11.69 tff(20120,plain,
% 16.88/11.69 (~m_main_v_state1(s249, c_n1)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20119, 835, 20020, 20113])).
% 16.88/11.69 tff(20121,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20122,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s249, c_n1) | (~node2(s249)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20123,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s249, c_n1) | (~node2(s249))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20122, 20121])).
% 16.88/11.69 tff(20124,plain,
% 16.88/11.69 (~node2(s249)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20123, 787, 20120])).
% 16.88/11.69 tff(20125,plain,
% 16.88/11.69 (((~![V: $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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20126,plain,
% 16.88/11.69 (((~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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20127,plain,
% 16.88/11.69 (((~![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))))),
% 16.88/11.69 inference(monotonicity,[status(thm)],[20126])).
% 16.88/11.69 tff(20128,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(transitivity,[status(thm)],[20127, 20125])).
% 16.88/11.69 tff(20129,plain,
% 16.88/11.69 ((~![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))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20130,plain,
% 16.88/11.69 ((~![V: $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))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20129, 20128])).
% 16.88/11.69 tff(20131,plain,
% 16.88/11.69 (m_main_v_state1(s249, c_t1)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20130, 856, 20016, 20113])).
% 16.88/11.69 tff(20132,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20133,plain,
% 16.88/11.69 ((~![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)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20134,plain,
% 16.88/11.69 ((~![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))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20133, 20132])).
% 16.88/11.69 tff(20135,plain,
% 16.88/11.69 (~m_main_v_state2(s249, c_t2)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20134, 77, 20063])).
% 16.88/11.69 tff(20136,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20137,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s249, c_t2) | (~node1(s249)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20138,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s249, c_t2) | (~node1(s249))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20137, 20136])).
% 16.88/11.69 tff(20139,plain,
% 16.88/11.69 (~node1(s249)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20138, 195, 20135])).
% 16.88/11.69 tff(20140,plain,
% 16.88/11.69 (succ(s249, s250) <=> succ(s249, s250)),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20141,axiom,(succ(s249, s250)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound250')).
% 16.88/11.69 tff(20142,plain,
% 16.88/11.69 (succ(s249, s250)),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20141, 20140])).
% 16.88/11.69 tff(20143,plain,
% 16.88/11.69 (((~![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))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20144,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20145,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250)),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20144, 20143])).
% 16.88/11.69 tff(20146,plain,
% 16.88/11.69 (trans(s249, s250)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20145, 20142, 32])).
% 16.88/11.69 tff(20147,plain,
% 16.88/11.69 (((~![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))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20148,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s249, s250)) | node7(s249, s250))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20149,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s249, s250)) | node7(s249, s250)),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20148, 20147])).
% 16.88/11.69 tff(20150,plain,
% 16.88/11.69 (node7(s249, s250)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20149, 206, 20146])).
% 16.88/11.69 tff(20151,plain,
% 16.88/11.69 (((~![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(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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20152,plain,
% 16.88/11.69 (((~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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20153,plain,
% 16.88/11.69 (((~![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(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))))),
% 16.88/11.69 inference(monotonicity,[status(thm)],[20152])).
% 16.88/11.69 tff(20154,plain,
% 16.88/11.69 (((~![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(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)))),
% 16.88/11.69 inference(transitivity,[status(thm)],[20153, 20151])).
% 16.88/11.69 tff(20155,plain,
% 16.88/11.69 ((~![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(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))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20156,plain,
% 16.88/11.69 ((~![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(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))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20155, 20154])).
% 16.88/11.69 tff(20157,plain,
% 16.88/11.69 ((~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)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20156, 892, 20150])).
% 16.88/11.69 tff(20158,plain,
% 16.88/11.69 (m_main_v_state1(s250, c_c1)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20157, 20139, 20063, 20131, 20124, 20071])).
% 16.88/11.69 tff(20159,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20160,plain,
% 16.88/11.69 ((~![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)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20161,plain,
% 16.88/11.69 ((~![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))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20160, 20159])).
% 16.88/11.69 tff(20162,plain,
% 16.88/11.69 (~m_main_v_state1(s250, c_t1)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20161, 539, 20158])).
% 16.88/11.69 tff(20163,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20164,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s250, c_t1) | (~node5(s250)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20165,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s250, c_t1) | (~node5(s250))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20164, 20163])).
% 16.88/11.69 tff(20166,plain,
% 16.88/11.69 (~node5(s250)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20165, 550, 20162])).
% 16.88/11.69 tff(20167,plain,
% 16.88/11.69 (((~![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))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20168,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s249, s250)) | node14(s249, s250))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20169,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s249, s250)) | node14(s249, s250)),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20168, 20167])).
% 16.88/11.69 tff(20170,plain,
% 16.88/11.69 (node14(s249, s250)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20169, 46, 20146])).
% 16.88/11.69 tff(20171,plain,
% 16.88/11.69 (((~![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(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))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20172,plain,
% 16.88/11.69 ((~![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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | (~node14(s249, s250)) | m_main_v_state2(s250, c_t2))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20173,plain,
% 16.88/11.69 ((~![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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | (~node14(s249, s250)) | m_main_v_state2(s250, c_t2)),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20172, 20171])).
% 16.88/11.69 tff(20174,plain,
% 16.88/11.69 ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state2(s250, c_t2)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20173, 922, 20170])).
% 16.88/11.69 tff(20175,plain,
% 16.88/11.69 (m_main_v_state2(s250, c_t2)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20174, 20131, 20063])).
% 16.88/11.69 tff(20176,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20177,plain,
% 16.88/11.69 ((~![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)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20178,plain,
% 16.88/11.69 ((~![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))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20177, 20176])).
% 16.88/11.69 tff(20179,plain,
% 16.88/11.69 (~m_main_v_state2(s250, c_n2)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20178, 77, 20175])).
% 16.88/11.69 tff(20180,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20181,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s250, c_n2) | (~node4(s250)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20182,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s250, c_n2) | (~node4(s250))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20181, 20180])).
% 16.88/11.69 tff(20183,plain,
% 16.88/11.69 (~node4(s250)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20182, 388, 20179])).
% 16.88/11.69 tff(20184,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20185,plain,
% 16.88/11.69 ((~![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)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20186,plain,
% 16.88/11.69 ((~![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))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20185, 20184])).
% 16.88/11.69 tff(20187,plain,
% 16.88/11.69 (~m_main_v_state2(s250, c_c2)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20186, 260, 20175])).
% 16.88/11.69 tff(20188,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20189,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s250, c_c2) | (~node3(s250)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20190,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s250, c_c2) | (~node3(s250))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20189, 20188])).
% 16.88/11.69 tff(20191,plain,
% 16.88/11.69 (~node3(s250)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20190, 399, 20187])).
% 16.88/11.69 tff(20192,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20193,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s250, c_n2) | (~node2(s250)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20194,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s250, c_n2) | (~node2(s250))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20193, 20192])).
% 16.88/11.69 tff(20195,plain,
% 16.88/11.69 (~node2(s250)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20194, 410, 20179])).
% 16.88/11.69 tff(20196,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20197,plain,
% 16.88/11.69 ((~![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)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20198,plain,
% 16.88/11.69 ((~![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))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20197, 20196])).
% 16.88/11.69 tff(20199,plain,
% 16.88/11.69 (~m_main_v_state1(s250, c_n1)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20198, 454, 20158])).
% 16.88/11.69 tff(20200,plain,
% 16.88/11.69 (((~![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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20201,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s250, c_n1) | (~node1(s250)))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20202,plain,
% 16.88/11.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s250, c_n1) | (~node1(s250))),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20201, 20200])).
% 16.88/11.69 tff(20203,plain,
% 16.88/11.69 (~node1(s250)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20202, 421, 20199])).
% 16.88/11.69 tff(20204,plain,
% 16.88/11.69 (succ(s250, s251) <=> succ(s250, s251)),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20205,axiom,(succ(s250, s251)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound251')).
% 16.88/11.69 tff(20206,plain,
% 16.88/11.69 (succ(s250, s251)),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20205, 20204])).
% 16.88/11.69 tff(20207,plain,
% 16.88/11.69 (((~![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))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20208,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20209,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251)),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20208, 20207])).
% 16.88/11.69 tff(20210,plain,
% 16.88/11.69 (trans(s250, s251)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20209, 20206, 32])).
% 16.88/11.69 tff(20211,plain,
% 16.88/11.69 (((~![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))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20212,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s250, s251)) | node7(s250, s251))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20213,plain,
% 16.88/11.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s250, s251)) | node7(s250, s251)),
% 16.88/11.69 inference(modus_ponens,[status(thm)],[20212, 20211])).
% 16.88/11.69 tff(20214,plain,
% 16.88/11.69 (node7(s250, s251)),
% 16.88/11.69 inference(unit_resolution,[status(thm)],[20213, 206, 20210])).
% 16.88/11.69 tff(20215,plain,
% 16.88/11.69 (((~![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(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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20216,plain,
% 16.88/11.69 (((~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)))),
% 16.88/11.69 inference(rewrite,[status(thm)],[])).
% 16.88/11.69 tff(20217,plain,
% 16.88/11.69 (((~![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(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))))),
% 16.88/11.69 inference(monotonicity,[status(thm)],[20216])).
% 16.88/11.69 tff(20218,plain,
% 16.88/11.69 (((~![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(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)))),
% 16.88/11.69 inference(transitivity,[status(thm)],[20217, 20215])).
% 16.88/11.69 tff(20219,plain,
% 16.88/11.69 ((~![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(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)) | m_main_v_state1(s251, c_n1))),
% 16.88/11.69 inference(quant_inst,[status(thm)],[])).
% 16.88/11.69 tff(20220,plain,
% 16.88/11.69 ((~![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(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20219, 20218])).
% 16.88/11.70 tff(20221,plain,
% 16.88/11.70 (m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20220, 584, 20214])).
% 16.88/11.70 tff(20222,plain,
% 16.88/11.70 (m_main_v_state1(s251, c_n1)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20221, 20203, 20158, 20195, 20191, 20183, 20166])).
% 16.88/11.70 tff(20223,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20224,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s249, c_t2) | (~node15(s249)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20225,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s249, c_t2) | (~node15(s249))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20224, 20223])).
% 16.88/11.70 tff(20226,plain,
% 16.88/11.70 (~node15(s249)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20225, 103, 20135])).
% 16.88/11.70 tff(20227,plain,
% 16.88/11.70 (((~![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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20228,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s249, s250)) | node18(s249, s250))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20229,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s249, s250)) | node18(s249, s250)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20228, 20227])).
% 16.88/11.70 tff(20230,plain,
% 16.88/11.70 (node18(s249, s250)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20229, 125, 20146])).
% 16.88/11.70 tff(20231,plain,
% 16.88/11.70 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20232,plain,
% 16.88/11.70 (((~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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20233,plain,
% 16.88/11.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 16.88/11.70 inference(monotonicity,[status(thm)],[20232])).
% 16.88/11.70 tff(20234,plain,
% 16.88/11.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.88/11.70 inference(transitivity,[status(thm)],[20233, 20231])).
% 16.88/11.70 tff(20235,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20236,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20235, 20234])).
% 16.88/11.70 tff(20237,plain,
% 16.88/11.70 (node15(s249) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20236, 992, 20230])).
% 16.88/11.70 tff(20238,plain,
% 16.88/11.70 (m_main_v_turn(s250, c_1)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20237, 20226, 20063, 20131])).
% 16.88/11.70 tff(20239,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20240,plain,
% 16.88/11.70 ((~![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)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20241,plain,
% 16.88/11.70 ((~![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))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20240, 20239])).
% 16.88/11.70 tff(20242,plain,
% 16.88/11.70 (~m_main_v_turn(s250, c_2)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20241, 156, 20238])).
% 16.88/11.70 tff(20243,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20244,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s250, c_2) | (~node12(s250)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20245,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s250, c_2) | (~node12(s250))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20244, 20243])).
% 16.88/11.70 tff(20246,plain,
% 16.88/11.70 (~node12(s250)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20245, 184, 20242])).
% 16.88/11.70 tff(20247,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20248,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s250, c_n2) | (~node8(s250)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20249,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s250, c_n2) | (~node8(s250))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20248, 20247])).
% 16.88/11.70 tff(20250,plain,
% 16.88/11.70 (~node8(s250)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20249, 271, 20179])).
% 16.88/11.70 tff(20251,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20252,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s250, c_n2) | (~node9(s250)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20253,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s250, c_n2) | (~node9(s250))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20252, 20251])).
% 16.88/11.70 tff(20254,plain,
% 16.88/11.70 (~node9(s250)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20253, 88, 20179])).
% 16.88/11.70 tff(20255,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20256,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s250, c_n2) | (~node10(s250)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20257,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s250, c_n2) | (~node10(s250))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20256, 20255])).
% 16.88/11.70 tff(20258,plain,
% 16.88/11.70 (~node10(s250)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20257, 249, 20179])).
% 16.88/11.70 tff(20259,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20260,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s250, c_n1) | (~node11(s250)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20261,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s250, c_n1) | (~node11(s250))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20260, 20259])).
% 16.88/11.70 tff(20262,plain,
% 16.88/11.70 (~node11(s250)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20261, 238, 20199])).
% 16.88/11.70 tff(20263,plain,
% 16.88/11.70 (((~![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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20264,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s250, s251)) | node14(s250, s251))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20265,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s250, s251)) | node14(s250, s251)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20264, 20263])).
% 16.88/11.70 tff(20266,plain,
% 16.88/11.70 (node14(s250, s251)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20265, 46, 20210])).
% 16.88/11.70 tff(20267,plain,
% 16.88/11.70 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20268,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20269,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 16.88/11.70 tff(20270,plain,
% 16.88/11.70 (m_main_v_state2(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20269, 296, 20266])).
% 16.88/11.70 tff(20271,plain,
% 16.88/11.70 (node13(s250, s251)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20270, 20262, 20187, 20258, 20254, 20250, 20246])).
% 16.88/11.70 tff(20272,plain,
% 16.88/11.70 (((~![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(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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20273,plain,
% 16.88/11.70 (((~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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20274,plain,
% 16.88/11.70 (((~![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))))),
% 16.88/11.70 inference(monotonicity,[status(thm)],[20273])).
% 16.88/11.70 tff(20275,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(transitivity,[status(thm)],[20274, 20272])).
% 16.88/11.70 tff(20276,plain,
% 16.88/11.70 ((~![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))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20277,plain,
% 16.88/11.70 ((~![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(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20276, 20275])).
% 16.88/11.70 tff(20278,plain,
% 16.88/11.70 (m_main_v_state2(s251, c_t2)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20277, 518, 20175, 20271])).
% 16.88/11.70 tff(20279,plain,
% 16.88/11.70 (succ(s251, s252) <=> succ(s251, s252)),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20280,axiom,(succ(s251, s252)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound252')).
% 16.88/11.70 tff(20281,plain,
% 16.88/11.70 (succ(s251, s252)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20280, 20279])).
% 16.88/11.70 tff(20282,plain,
% 16.88/11.70 (((~![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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20283,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20284,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20283, 20282])).
% 16.88/11.70 tff(20285,plain,
% 16.88/11.70 (trans(s251, s252)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20284, 20281, 32])).
% 16.88/11.70 tff(20286,plain,
% 16.88/11.70 (((~![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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20287,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s251, s252)) | node7(s251, s252))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20288,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s251, s252)) | node7(s251, s252)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20287, 20286])).
% 16.88/11.70 tff(20289,plain,
% 16.88/11.70 (node7(s251, s252)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20288, 206, 20285])).
% 16.88/11.70 tff(20290,plain,
% 16.88/11.70 (((~![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(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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20291,plain,
% 16.88/11.70 ((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node7(s251, s252)) | m_main_v_state1(s252, c_t1))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20292,plain,
% 16.88/11.70 ((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node7(s251, s252)) | m_main_v_state1(s252, c_t1)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20291, 20290])).
% 16.88/11.70 tff(20293,plain,
% 16.88/11.70 ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | m_main_v_state1(s252, c_t1)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20292, 651, 20289])).
% 16.88/11.70 tff(20294,plain,
% 16.88/11.70 (m_main_v_state1(s252, c_t1)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20293, 20278, 20222])).
% 16.88/11.70 tff(20295,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20296,plain,
% 16.88/11.70 ((~![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)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20297,plain,
% 16.88/11.70 ((~![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))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20296, 20295])).
% 16.88/11.70 tff(20298,plain,
% 16.88/11.70 (~m_main_v_state1(s252, c_n1)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20297, 10, 20294])).
% 16.88/11.70 tff(20299,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20300,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s252, c_n1) | (~node1(s252)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20301,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s252, c_n1) | (~node1(s252))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20300, 20299])).
% 16.88/11.70 tff(20302,plain,
% 16.88/11.70 (~node1(s252)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20301, 421, 20298])).
% 16.88/11.70 tff(20303,plain,
% 16.88/11.70 (((~![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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20304,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s251, s252)) | node18(s251, s252))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20305,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s251, s252)) | node18(s251, s252)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20304, 20303])).
% 16.88/11.70 tff(20306,plain,
% 16.88/11.70 (node18(s251, s252)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20305, 125, 20285])).
% 16.88/11.70 tff(20307,plain,
% 16.88/11.70 (((~![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(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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20308,plain,
% 16.88/11.70 ((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node18(s251, s252)) | m_main_v_turn(s252, c_2))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20309,plain,
% 16.88/11.70 ((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node18(s251, s252)) | m_main_v_turn(s252, c_2)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20308, 20307])).
% 16.88/11.70 tff(20310,plain,
% 16.88/11.70 ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | m_main_v_turn(s252, c_2)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20309, 760, 20306])).
% 16.88/11.70 tff(20311,plain,
% 16.88/11.70 (m_main_v_turn(s252, c_2)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20310, 20278, 20222])).
% 16.88/11.70 tff(20312,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20313,plain,
% 16.88/11.70 ((~![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)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20314,plain,
% 16.88/11.70 ((~![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))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20313, 20312])).
% 16.88/11.70 tff(20315,plain,
% 16.88/11.70 (~m_main_v_turn(s252, c_1)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20314, 156, 20311])).
% 16.88/11.70 tff(20316,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20317,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s252, c_1) | (~node5(s252)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20318,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s252, c_1) | (~node5(s252))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20317, 20316])).
% 16.88/11.70 tff(20319,plain,
% 16.88/11.70 (~node5(s252)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20318, 776, 20315])).
% 16.88/11.70 tff(20320,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20321,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s252, c_n1) | (~node2(s252)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20322,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s252, c_n1) | (~node2(s252))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20321, 20320])).
% 16.88/11.70 tff(20323,plain,
% 16.88/11.70 (~node2(s252)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20322, 787, 20298])).
% 16.88/11.70 tff(20324,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20325,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s252, c_n1) | (~node3(s252)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20326,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s252, c_n1) | (~node3(s252))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20325, 20324])).
% 16.88/11.70 tff(20327,plain,
% 16.88/11.70 (~node3(s252)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20326, 798, 20298])).
% 16.88/11.70 tff(20328,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20329,plain,
% 16.88/11.70 ((~![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)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20330,plain,
% 16.88/11.70 ((~![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))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20329, 20328])).
% 16.88/11.70 tff(20331,plain,
% 16.88/11.70 (~m_main_v_state1(s252, c_c1)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20330, 539, 20294])).
% 16.88/11.70 tff(20332,plain,
% 16.88/11.70 (((~![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(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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20333,plain,
% 16.88/11.70 (((~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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20334,plain,
% 16.88/11.70 (((~![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))))),
% 16.88/11.70 inference(monotonicity,[status(thm)],[20333])).
% 16.88/11.70 tff(20335,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(transitivity,[status(thm)],[20334, 20332])).
% 16.88/11.70 tff(20336,plain,
% 16.88/11.70 ((~![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)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20337,plain,
% 16.88/11.70 ((~![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(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20336, 20335])).
% 16.88/11.70 tff(20338,plain,
% 16.88/11.70 (~m_main_v_state2(s251, c_n2)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20337, 311, 20179, 20271])).
% 16.88/11.70 tff(20339,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20340,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s251, c_n2) | (~node9(s251)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20341,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s251, c_n2) | (~node9(s251))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20340, 20339])).
% 16.88/11.70 tff(20342,plain,
% 16.88/11.70 (~node9(s251)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20341, 88, 20338])).
% 16.88/11.70 tff(20343,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20344,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s251, c_n2) | (~node10(s251)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20345,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s251, c_n2) | (~node10(s251))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20344, 20343])).
% 16.88/11.70 tff(20346,plain,
% 16.88/11.70 (~node10(s251)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20345, 249, 20338])).
% 16.88/11.70 tff(20347,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20348,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s251, c_n2) | (~node8(s251)))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20349,plain,
% 16.88/11.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s251, c_n2) | (~node8(s251))),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20348, 20347])).
% 16.88/11.70 tff(20350,plain,
% 16.88/11.70 (~node8(s251)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20349, 271, 20338])).
% 16.88/11.70 tff(20351,plain,
% 16.88/11.70 (((~![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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20352,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s251, s252)) | node14(s251, s252))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20353,plain,
% 16.88/11.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s251, s252)) | node14(s251, s252)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20352, 20351])).
% 16.88/11.70 tff(20354,plain,
% 16.88/11.70 (node14(s251, s252)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20353, 46, 20285])).
% 16.88/11.70 tff(20355,plain,
% 16.88/11.70 (((~![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(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))),
% 16.88/11.70 inference(rewrite,[status(thm)],[])).
% 16.88/11.70 tff(20356,plain,
% 16.88/11.70 ((~![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(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))),
% 16.88/11.70 inference(quant_inst,[status(thm)],[])).
% 16.88/11.70 tff(20357,plain,
% 16.88/11.70 ((~![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(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)),
% 16.88/11.70 inference(modus_ponens,[status(thm)],[20356, 20355])).
% 16.88/11.70 tff(20358,plain,
% 16.88/11.70 ((~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)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20357, 617, 20354])).
% 16.88/11.70 tff(20359,plain,
% 16.88/11.70 (m_main_v_state2(s252, c_c2)),
% 16.88/11.70 inference(unit_resolution,[status(thm)],[20358, 20350, 20222, 20278, 20346, 20342])).
% 16.88/11.70 tff(20360,plain,
% 16.88/11.70 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20361,plain,
% 16.88/11.71 ((~![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)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20362,plain,
% 16.88/11.71 ((~![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))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20361, 20360])).
% 16.88/11.71 tff(20363,plain,
% 16.88/11.71 (~m_main_v_state2(s252, c_n2)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20362, 697, 20359])).
% 16.88/11.71 tff(20364,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20365,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s252, c_n2) | (~node4(s252)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20366,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s252, c_n2) | (~node4(s252))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20365, 20364])).
% 16.88/11.71 tff(20367,plain,
% 16.88/11.71 (~node4(s252)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20366, 388, 20363])).
% 16.88/11.71 tff(20368,plain,
% 16.88/11.71 (succ(s252, s253) <=> succ(s252, s253)),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20369,axiom,(succ(s252, s253)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound253')).
% 16.88/11.71 tff(20370,plain,
% 16.88/11.71 (succ(s252, s253)),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20369, 20368])).
% 16.88/11.71 tff(20371,plain,
% 16.88/11.71 (((~![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))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20372,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20373,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253)),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20372, 20371])).
% 16.88/11.71 tff(20374,plain,
% 16.88/11.71 (trans(s252, s253)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20373, 20370, 32])).
% 16.88/11.71 tff(20375,plain,
% 16.88/11.71 (((~![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))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20376,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s252, s253)) | node7(s252, s253))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20377,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s252, s253)) | node7(s252, s253)),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20376, 20375])).
% 16.88/11.71 tff(20378,plain,
% 16.88/11.71 (node7(s252, s253)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20377, 206, 20374])).
% 16.88/11.71 tff(20379,plain,
% 16.88/11.71 (((~![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(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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20380,plain,
% 16.88/11.71 ((~![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(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253) | (~node7(s252, s253)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20381,plain,
% 16.88/11.71 ((~![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(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253) | (~node7(s252, s253))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20380, 20379])).
% 16.88/11.71 tff(20382,plain,
% 16.88/11.71 (m_main_v_state1(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20381, 820, 20378])).
% 16.88/11.71 tff(20383,plain,
% 16.88/11.71 (node6(s252, s253)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20382, 20367, 20331, 20327, 20323, 20319, 20302])).
% 16.88/11.71 tff(20384,plain,
% 16.88/11.71 (((~![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(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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20385,plain,
% 16.88/11.71 (((~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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20386,plain,
% 16.88/11.71 (((~![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))))),
% 16.88/11.71 inference(monotonicity,[status(thm)],[20385])).
% 16.88/11.71 tff(20387,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(transitivity,[status(thm)],[20386, 20384])).
% 16.88/11.71 tff(20388,plain,
% 16.88/11.71 ((~![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))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20389,plain,
% 16.88/11.71 ((~![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(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20388, 20387])).
% 16.88/11.71 tff(20390,plain,
% 16.88/11.71 (m_main_v_state1(s253, c_t1)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20389, 856, 20294, 20383])).
% 16.88/11.71 tff(20391,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20392,plain,
% 16.88/11.71 ((~![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)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20393,plain,
% 16.88/11.71 ((~![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))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20392, 20391])).
% 16.88/11.71 tff(20394,plain,
% 16.88/11.71 (~m_main_v_state2(s252, c_t2)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20393, 260, 20359])).
% 16.88/11.71 tff(20395,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20396,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s252, c_t2) | (~node12(s252)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20397,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s252, c_t2) | (~node12(s252))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20396, 20395])).
% 16.88/11.71 tff(20398,plain,
% 16.88/11.71 (~node12(s252)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20397, 633, 20394])).
% 16.88/11.71 tff(20399,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20400,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s252, c_n1) | (~node11(s252)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20401,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s252, c_n1) | (~node11(s252))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20400, 20399])).
% 16.88/11.71 tff(20402,plain,
% 16.88/11.71 (~node11(s252)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20401, 238, 20298])).
% 16.88/11.71 tff(20403,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20404,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s252, c_c1) | (~node10(s252)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20405,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s252, c_c1) | (~node10(s252))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20404, 20403])).
% 16.88/11.71 tff(20406,plain,
% 16.88/11.71 (~node10(s252)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20405, 675, 20331])).
% 16.88/11.71 tff(20407,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20408,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s252, c_n1) | (~node9(s252)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20409,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s252, c_n1) | (~node9(s252))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20408, 20407])).
% 16.88/11.71 tff(20410,plain,
% 16.88/11.71 (~node9(s252)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20409, 686, 20298])).
% 16.88/11.71 tff(20411,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20412,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s252, c_n2) | (~node8(s252)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20413,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s252, c_n2) | (~node8(s252))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20412, 20411])).
% 16.88/11.71 tff(20414,plain,
% 16.88/11.71 (~node8(s252)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20413, 271, 20363])).
% 16.88/11.71 tff(20415,plain,
% 16.88/11.71 (((~![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))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20416,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s252, s253)) | node14(s252, s253))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20417,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s252, s253)) | node14(s252, s253)),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20416, 20415])).
% 16.88/11.71 tff(20418,plain,
% 16.88/11.71 (node14(s252, s253)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20417, 46, 20374])).
% 16.88/11.71 tff(20419,plain,
% 16.88/11.71 (((~![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(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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20420,plain,
% 16.88/11.71 (((~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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20421,plain,
% 16.88/11.71 (((~![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(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))))),
% 16.88/11.71 inference(monotonicity,[status(thm)],[20420])).
% 16.88/11.71 tff(20422,plain,
% 16.88/11.71 (((~![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(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)))),
% 16.88/11.71 inference(transitivity,[status(thm)],[20421, 20419])).
% 16.88/11.71 tff(20423,plain,
% 16.88/11.71 ((~![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(s252, c_c2)) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | m_main_v_state2(s253, c_n2))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20424,plain,
% 16.88/11.71 ((~![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(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20423, 20422])).
% 16.88/11.71 tff(20425,plain,
% 16.88/11.71 (m_main_v_state2(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~m_main_v_state2(s252, c_c2))),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20424, 726, 20418])).
% 16.88/11.71 tff(20426,plain,
% 16.88/11.71 (m_main_v_state2(s253, c_n2)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20425, 20414, 20359, 20410, 20406, 20402, 20398])).
% 16.88/11.71 tff(20427,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20428,plain,
% 16.88/11.71 ((~![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)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20429,plain,
% 16.88/11.71 ((~![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))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20428, 20427])).
% 16.88/11.71 tff(20430,plain,
% 16.88/11.71 (~m_main_v_state2(s253, c_t2)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20429, 77, 20426])).
% 16.88/11.71 tff(20431,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20432,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s253, c_t2) | (~node15(s253)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20433,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s253, c_t2) | (~node15(s253))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20432, 20431])).
% 16.88/11.71 tff(20434,plain,
% 16.88/11.71 (~node15(s253)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20433, 103, 20430])).
% 16.88/11.71 tff(20435,plain,
% 16.88/11.71 (succ(s253, s254) <=> succ(s253, s254)),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20436,axiom,(succ(s253, s254)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound254')).
% 16.88/11.71 tff(20437,plain,
% 16.88/11.71 (succ(s253, s254)),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20436, 20435])).
% 16.88/11.71 tff(20438,plain,
% 16.88/11.71 (((~![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))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20439,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20440,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254)),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20439, 20438])).
% 16.88/11.71 tff(20441,plain,
% 16.88/11.71 (trans(s253, s254)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20440, 20437, 32])).
% 16.88/11.71 tff(20442,plain,
% 16.88/11.71 (((~![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))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20443,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s253, s254)) | node18(s253, s254))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20444,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s253, s254)) | node18(s253, s254)),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20443, 20442])).
% 16.88/11.71 tff(20445,plain,
% 16.88/11.71 (node18(s253, s254)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20444, 125, 20441])).
% 16.88/11.71 tff(20446,plain,
% 16.88/11.71 (((~![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(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))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20447,plain,
% 16.88/11.71 (((~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))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20448,plain,
% 16.88/11.71 (((~![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(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)))),
% 16.88/11.71 inference(monotonicity,[status(thm)],[20447])).
% 16.88/11.71 tff(20449,plain,
% 16.88/11.71 (((~![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(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))),
% 16.88/11.71 inference(transitivity,[status(thm)],[20448, 20446])).
% 16.88/11.71 tff(20450,plain,
% 16.88/11.71 ((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node15(s253) | (~node18(s253, s254)) | m_main_v_turn(s254, c_1))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20451,plain,
% 16.88/11.71 ((~![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(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)),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20450, 20449])).
% 16.88/11.71 tff(20452,plain,
% 16.88/11.71 (node15(s253) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20451, 992, 20445])).
% 16.88/11.71 tff(20453,plain,
% 16.88/11.71 (m_main_v_turn(s254, c_1)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20452, 20434, 20426, 20390])).
% 16.88/11.71 tff(20454,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20455,plain,
% 16.88/11.71 ((~![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)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20456,plain,
% 16.88/11.71 ((~![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))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20455, 20454])).
% 16.88/11.71 tff(20457,plain,
% 16.88/11.71 (~m_main_v_turn(s254, c_2)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20456, 156, 20453])).
% 16.88/11.71 tff(20458,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20459,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s254, c_2) | (~node12(s254)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20460,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s254, c_2) | (~node12(s254))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20459, 20458])).
% 16.88/11.71 tff(20461,plain,
% 16.88/11.71 (~node12(s254)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20460, 184, 20457])).
% 16.88/11.71 tff(20462,plain,
% 16.88/11.71 (((~![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))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20463,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s253, s254)) | node14(s253, s254))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20464,plain,
% 16.88/11.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s253, s254)) | node14(s253, s254)),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20463, 20462])).
% 16.88/11.71 tff(20465,plain,
% 16.88/11.71 (node14(s253, s254)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20464, 46, 20441])).
% 16.88/11.71 tff(20466,plain,
% 16.88/11.71 (((~![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(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))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20467,plain,
% 16.88/11.71 ((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | (~node14(s253, s254)) | m_main_v_state2(s254, c_t2))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20468,plain,
% 16.88/11.71 ((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | (~node14(s253, s254)) | m_main_v_state2(s254, c_t2)),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20467, 20466])).
% 16.88/11.71 tff(20469,plain,
% 16.88/11.71 ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state2(s254, c_t2)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20468, 922, 20465])).
% 16.88/11.71 tff(20470,plain,
% 16.88/11.71 (m_main_v_state2(s254, c_t2)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20469, 20390, 20426])).
% 16.88/11.71 tff(20471,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20472,plain,
% 16.88/11.71 ((~![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)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20473,plain,
% 16.88/11.71 ((~![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))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20472, 20471])).
% 16.88/11.71 tff(20474,plain,
% 16.88/11.71 (~m_main_v_state2(s254, c_n2)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20473, 77, 20470])).
% 16.88/11.71 tff(20475,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20476,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s254, c_n2) | (~node8(s254)))),
% 16.88/11.71 inference(quant_inst,[status(thm)],[])).
% 16.88/11.71 tff(20477,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s254, c_n2) | (~node8(s254))),
% 16.88/11.71 inference(modus_ponens,[status(thm)],[20476, 20475])).
% 16.88/11.71 tff(20478,plain,
% 16.88/11.71 (~node8(s254)),
% 16.88/11.71 inference(unit_resolution,[status(thm)],[20477, 271, 20474])).
% 16.88/11.71 tff(20479,plain,
% 16.88/11.71 (((~![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)))),
% 16.88/11.71 inference(rewrite,[status(thm)],[])).
% 16.88/11.71 tff(20480,plain,
% 16.88/11.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s254, c_n2) | (~node9(s254)))),
% 16.92/11.71 inference(quant_inst,[status(thm)],[])).
% 16.92/11.71 tff(20481,plain,
% 16.92/11.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s254, c_n2) | (~node9(s254))),
% 16.92/11.71 inference(modus_ponens,[status(thm)],[20480, 20479])).
% 16.92/11.71 tff(20482,plain,
% 16.92/11.71 (~node9(s254)),
% 16.92/11.71 inference(unit_resolution,[status(thm)],[20481, 88, 20474])).
% 16.92/11.71 tff(20483,plain,
% 16.92/11.71 (((~![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)))),
% 16.92/11.71 inference(rewrite,[status(thm)],[])).
% 16.92/11.71 tff(20484,plain,
% 16.92/11.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s254, c_n2) | (~node10(s254)))),
% 16.92/11.71 inference(quant_inst,[status(thm)],[])).
% 16.92/11.71 tff(20485,plain,
% 16.92/11.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s254, c_n2) | (~node10(s254))),
% 16.92/11.71 inference(modus_ponens,[status(thm)],[20484, 20483])).
% 16.92/11.71 tff(20486,plain,
% 16.92/11.71 (~node10(s254)),
% 16.92/11.71 inference(unit_resolution,[status(thm)],[20485, 249, 20474])).
% 16.92/11.71 tff(20487,plain,
% 16.92/11.71 (((~![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)))),
% 16.92/11.71 inference(rewrite,[status(thm)],[])).
% 16.92/11.71 tff(20488,plain,
% 16.92/11.71 ((~![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)))),
% 16.92/11.71 inference(quant_inst,[status(thm)],[])).
% 16.92/11.71 tff(20489,plain,
% 16.92/11.71 ((~![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))),
% 16.92/11.71 inference(modus_ponens,[status(thm)],[20488, 20487])).
% 16.92/11.71 tff(20490,plain,
% 16.92/11.71 (~m_main_v_state2(s254, c_c2)),
% 16.92/11.71 inference(unit_resolution,[status(thm)],[20489, 260, 20470])).
% 16.92/11.71 tff(20491,plain,
% 16.92/11.71 (((~![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)))),
% 16.92/11.71 inference(rewrite,[status(thm)],[])).
% 16.92/11.71 tff(20492,plain,
% 16.92/11.71 ((~![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)))),
% 16.92/11.71 inference(quant_inst,[status(thm)],[])).
% 16.92/11.71 tff(20493,plain,
% 16.92/11.71 ((~![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))),
% 16.92/11.71 inference(modus_ponens,[status(thm)],[20492, 20491])).
% 16.92/11.71 tff(20494,plain,
% 16.92/11.71 (~m_main_v_state2(s253, c_c2)),
% 16.92/11.71 inference(unit_resolution,[status(thm)],[20493, 697, 20426])).
% 16.92/11.71 tff(20495,plain,
% 16.92/11.71 (((~![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)))),
% 16.92/11.71 inference(rewrite,[status(thm)],[])).
% 16.92/11.71 tff(20496,plain,
% 16.92/11.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s253, c_c2) | (~node3(s253)))),
% 16.92/11.71 inference(quant_inst,[status(thm)],[])).
% 16.92/11.71 tff(20497,plain,
% 16.92/11.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s253, c_c2) | (~node3(s253))),
% 16.92/11.71 inference(modus_ponens,[status(thm)],[20496, 20495])).
% 16.92/11.71 tff(20498,plain,
% 16.92/11.71 (~node3(s253)),
% 16.92/11.71 inference(unit_resolution,[status(thm)],[20497, 399, 20494])).
% 16.92/11.71 tff(20499,plain,
% 16.92/11.71 (((~![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(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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20500,plain,
% 16.92/11.72 (((~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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20501,plain,
% 16.92/11.72 (((~![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))))),
% 16.92/11.72 inference(monotonicity,[status(thm)],[20500])).
% 16.92/11.72 tff(20502,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(transitivity,[status(thm)],[20501, 20499])).
% 16.92/11.72 tff(20503,plain,
% 16.92/11.72 ((~![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)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20504,plain,
% 16.92/11.72 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20503, 20502])).
% 16.92/11.72 tff(20505,plain,
% 16.92/11.72 (~m_main_v_state1(s253, c_n1)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20504, 835, 20298, 20383])).
% 16.92/11.72 tff(20506,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20507,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s253, c_n1) | (~node2(s253)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20508,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s253, c_n1) | (~node2(s253))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20507, 20506])).
% 16.92/11.72 tff(20509,plain,
% 16.92/11.72 (~node2(s253)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20508, 787, 20505])).
% 16.92/11.72 tff(20510,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20511,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s253, c_t2) | (~node1(s253)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20512,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s253, c_t2) | (~node1(s253))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20511, 20510])).
% 16.92/11.72 tff(20513,plain,
% 16.92/11.72 (~node1(s253)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20512, 195, 20430])).
% 16.92/11.72 tff(20514,plain,
% 16.92/11.72 (((~![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))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20515,plain,
% 16.92/11.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s253, s254)) | node7(s253, s254))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20516,plain,
% 16.92/11.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s253, s254)) | node7(s253, s254)),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20515, 20514])).
% 16.92/11.72 tff(20517,plain,
% 16.92/11.72 (node7(s253, s254)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20516, 206, 20441])).
% 16.92/11.72 tff(20518,plain,
% 16.92/11.72 (((~![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(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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20519,plain,
% 16.92/11.72 (((~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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20520,plain,
% 16.92/11.72 (((~![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(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))))),
% 16.92/11.72 inference(monotonicity,[status(thm)],[20519])).
% 16.92/11.72 tff(20521,plain,
% 16.92/11.72 (((~![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(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)))),
% 16.92/11.72 inference(transitivity,[status(thm)],[20520, 20518])).
% 16.92/11.72 tff(20522,plain,
% 16.92/11.72 ((~![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(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))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20523,plain,
% 16.92/11.72 ((~![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(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))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20522, 20521])).
% 16.92/11.72 tff(20524,plain,
% 16.92/11.72 ((~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)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20523, 892, 20517])).
% 16.92/11.72 tff(20525,plain,
% 16.92/11.72 (m_main_v_state1(s254, c_c1)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20524, 20513, 20426, 20390, 20509, 20498])).
% 16.92/11.72 tff(20526,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20527,plain,
% 16.92/11.72 ((~![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)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20528,plain,
% 16.92/11.72 ((~![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))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20527, 20526])).
% 16.92/11.72 tff(20529,plain,
% 16.92/11.72 (~m_main_v_state1(s254, c_n1)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20528, 454, 20525])).
% 16.92/11.72 tff(20530,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20531,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s254, c_n1) | (~node11(s254)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20532,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s254, c_n1) | (~node11(s254))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20531, 20530])).
% 16.92/11.72 tff(20533,plain,
% 16.92/11.72 (~node11(s254)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20532, 238, 20529])).
% 16.92/11.72 tff(20534,plain,
% 16.92/11.72 (succ(s254, s255) <=> succ(s254, s255)),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20535,axiom,(succ(s254, s255)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound255')).
% 16.92/11.72 tff(20536,plain,
% 16.92/11.72 (succ(s254, s255)),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20535, 20534])).
% 16.92/11.72 tff(20537,plain,
% 16.92/11.72 (((~![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))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20538,plain,
% 16.92/11.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20539,plain,
% 16.92/11.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255)),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20538, 20537])).
% 16.92/11.72 tff(20540,plain,
% 16.92/11.72 (trans(s254, s255)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20539, 20536, 32])).
% 16.92/11.72 tff(20541,plain,
% 16.92/11.72 (((~![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))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20542,plain,
% 16.92/11.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s254, s255)) | node14(s254, s255))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20543,plain,
% 16.92/11.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s254, s255)) | node14(s254, s255)),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20542, 20541])).
% 16.92/11.72 tff(20544,plain,
% 16.92/11.72 (node14(s254, s255)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20543, 46, 20540])).
% 16.92/11.72 tff(20545,plain,
% 16.92/11.72 (((~![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(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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20546,plain,
% 16.92/11.72 ((~![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(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255) | (~node14(s254, s255)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20547,plain,
% 16.92/11.72 ((~![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(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255) | (~node14(s254, s255))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20546, 20545])).
% 16.92/11.72 tff(20548,plain,
% 16.92/11.72 (m_main_v_state2(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20547, 296, 20544])).
% 16.92/11.72 tff(20549,plain,
% 16.92/11.72 (node13(s254, s255)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20548, 20533, 20490, 20486, 20482, 20478, 20461])).
% 16.92/11.72 tff(20550,plain,
% 16.92/11.72 (((~![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(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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20551,plain,
% 16.92/11.72 (((~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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20552,plain,
% 16.92/11.72 (((~![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))))),
% 16.92/11.72 inference(monotonicity,[status(thm)],[20551])).
% 16.92/11.72 tff(20553,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(transitivity,[status(thm)],[20552, 20550])).
% 16.92/11.72 tff(20554,plain,
% 16.92/11.72 ((~![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)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20555,plain,
% 16.92/11.72 ((~![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(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20554, 20553])).
% 16.92/11.72 tff(20556,plain,
% 16.92/11.72 (~m_main_v_state2(s255, c_n2)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20555, 311, 20474, 20549])).
% 16.92/11.72 tff(20557,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20558,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s255, c_n2) | (~node9(s255)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20559,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s255, c_n2) | (~node9(s255))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20558, 20557])).
% 16.92/11.72 tff(20560,plain,
% 16.92/11.72 (~node9(s255)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20559, 88, 20556])).
% 16.92/11.72 tff(20561,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20562,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s255, c_n2) | (~node10(s255)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20563,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s255, c_n2) | (~node10(s255))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20562, 20561])).
% 16.92/11.72 tff(20564,plain,
% 16.92/11.72 (~node10(s255)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20563, 249, 20556])).
% 16.92/11.72 tff(20565,plain,
% 16.92/11.72 (((~![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(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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20566,plain,
% 16.92/11.72 (((~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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20567,plain,
% 16.92/11.72 (((~![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))))),
% 16.92/11.72 inference(monotonicity,[status(thm)],[20566])).
% 16.92/11.72 tff(20568,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(transitivity,[status(thm)],[20567, 20565])).
% 16.92/11.72 tff(20569,plain,
% 16.92/11.72 ((~![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))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20570,plain,
% 16.92/11.72 ((~![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(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20569, 20568])).
% 16.92/11.72 tff(20571,plain,
% 16.92/11.72 (m_main_v_state2(s255, c_t2)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20570, 518, 20470, 20549])).
% 16.92/11.72 tff(20572,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20573,plain,
% 16.92/11.72 ((~![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)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20574,plain,
% 16.92/11.72 ((~![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))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20573, 20572])).
% 16.92/11.72 tff(20575,plain,
% 16.92/11.72 (~m_main_v_state1(s254, c_t1)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20574, 539, 20525])).
% 16.92/11.72 tff(20576,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20577,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s254, c_t1) | (~node5(s254)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20578,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s254, c_t1) | (~node5(s254))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20577, 20576])).
% 16.92/11.72 tff(20579,plain,
% 16.92/11.72 (~node5(s254)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20578, 550, 20575])).
% 16.92/11.72 tff(20580,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20581,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s254, c_n2) | (~node4(s254)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20582,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s254, c_n2) | (~node4(s254))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20581, 20580])).
% 16.92/11.72 tff(20583,plain,
% 16.92/11.72 (~node4(s254)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20582, 388, 20474])).
% 16.92/11.72 tff(20584,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20585,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s254, c_c2) | (~node3(s254)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20586,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s254, c_c2) | (~node3(s254))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20585, 20584])).
% 16.92/11.72 tff(20587,plain,
% 16.92/11.72 (~node3(s254)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20586, 399, 20490])).
% 16.92/11.72 tff(20588,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20589,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s254, c_n2) | (~node2(s254)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20590,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s254, c_n2) | (~node2(s254))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20589, 20588])).
% 16.92/11.72 tff(20591,plain,
% 16.92/11.72 (~node2(s254)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20590, 410, 20474])).
% 16.92/11.72 tff(20592,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20593,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s254, c_n1) | (~node1(s254)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20594,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s254, c_n1) | (~node1(s254))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20593, 20592])).
% 16.92/11.72 tff(20595,plain,
% 16.92/11.72 (~node1(s254)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20594, 421, 20529])).
% 16.92/11.72 tff(20596,plain,
% 16.92/11.72 (((~![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))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20597,plain,
% 16.92/11.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s254, s255)) | node7(s254, s255))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20598,plain,
% 16.92/11.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s254, s255)) | node7(s254, s255)),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20597, 20596])).
% 16.92/11.72 tff(20599,plain,
% 16.92/11.72 (node7(s254, s255)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20598, 206, 20540])).
% 16.92/11.72 tff(20600,plain,
% 16.92/11.72 (((~![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(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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20601,plain,
% 16.92/11.72 (((~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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20602,plain,
% 16.92/11.72 (((~![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(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))))),
% 16.92/11.72 inference(monotonicity,[status(thm)],[20601])).
% 16.92/11.72 tff(20603,plain,
% 16.92/11.72 (((~![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(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)))),
% 16.92/11.72 inference(transitivity,[status(thm)],[20602, 20600])).
% 16.92/11.72 tff(20604,plain,
% 16.92/11.72 ((~![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(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)) | m_main_v_state1(s255, c_n1))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20605,plain,
% 16.92/11.72 ((~![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(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20604, 20603])).
% 16.92/11.72 tff(20606,plain,
% 16.92/11.72 (m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20605, 584, 20599])).
% 16.92/11.72 tff(20607,plain,
% 16.92/11.72 (m_main_v_state1(s255, c_n1)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20606, 20595, 20525, 20591, 20587, 20583, 20579])).
% 16.92/11.72 tff(20608,plain,
% 16.92/11.72 (((~![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)))),
% 16.92/11.72 inference(rewrite,[status(thm)],[])).
% 16.92/11.72 tff(20609,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s255, c_n2) | (~node8(s255)))),
% 16.92/11.72 inference(quant_inst,[status(thm)],[])).
% 16.92/11.72 tff(20610,plain,
% 16.92/11.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s255, c_n2) | (~node8(s255))),
% 16.92/11.72 inference(modus_ponens,[status(thm)],[20609, 20608])).
% 16.92/11.72 tff(20611,plain,
% 16.92/11.72 (~node8(s255)),
% 16.92/11.72 inference(unit_resolution,[status(thm)],[20610, 271, 20556])).
% 16.92/11.72 tff(20612,plain,
% 16.92/11.72 (succ(s255, s256) <=> succ(s255, s256)),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20613,axiom,(succ(s255, s256)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound256')).
% 16.92/11.73 tff(20614,plain,
% 16.92/11.73 (succ(s255, s256)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20613, 20612])).
% 16.92/11.73 tff(20615,plain,
% 16.92/11.73 (((~![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))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20616,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20617,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20616, 20615])).
% 16.92/11.73 tff(20618,plain,
% 16.92/11.73 (trans(s255, s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20617, 20614, 32])).
% 16.92/11.73 tff(20619,plain,
% 16.92/11.73 (((~![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))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20620,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s255, s256)) | node14(s255, s256))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20621,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s255, s256)) | node14(s255, s256)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20620, 20619])).
% 16.92/11.73 tff(20622,plain,
% 16.92/11.73 (node14(s255, s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20621, 46, 20618])).
% 16.92/11.73 tff(20623,plain,
% 16.92/11.73 (((~![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(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))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20624,plain,
% 16.92/11.73 ((~![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(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))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20625,plain,
% 16.92/11.73 ((~![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(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)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20624, 20623])).
% 16.92/11.73 tff(20626,plain,
% 16.92/11.73 ((~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)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20625, 617, 20622])).
% 16.92/11.73 tff(20627,plain,
% 16.92/11.73 (m_main_v_state2(s256, c_c2)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20626, 20611, 20607, 20571, 20564, 20560])).
% 16.92/11.73 tff(20628,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20629,plain,
% 16.92/11.73 ((~![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)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20630,plain,
% 16.92/11.73 ((~![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))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20629, 20628])).
% 16.92/11.73 tff(20631,plain,
% 16.92/11.73 (~m_main_v_state2(s256, c_t2)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20630, 260, 20627])).
% 16.92/11.73 tff(20632,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20633,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s256, c_t2) | (~node12(s256)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20634,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s256, c_t2) | (~node12(s256))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20633, 20632])).
% 16.92/11.73 tff(20635,plain,
% 16.92/11.73 (~node12(s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20634, 633, 20631])).
% 16.92/11.73 tff(20636,plain,
% 16.92/11.73 (((~![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))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20637,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s255, s256)) | node7(s255, s256))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20638,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s255, s256)) | node7(s255, s256)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20637, 20636])).
% 16.92/11.73 tff(20639,plain,
% 16.92/11.73 (node7(s255, s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20638, 206, 20618])).
% 16.92/11.73 tff(20640,plain,
% 16.92/11.73 (((~![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(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))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20641,plain,
% 16.92/11.73 ((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node7(s255, s256)) | m_main_v_state1(s256, c_t1))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20642,plain,
% 16.92/11.73 ((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node7(s255, s256)) | m_main_v_state1(s256, c_t1)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 16.92/11.73 tff(20643,plain,
% 16.92/11.73 ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | m_main_v_state1(s256, c_t1)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20642, 651, 20639])).
% 16.92/11.73 tff(20644,plain,
% 16.92/11.73 (m_main_v_state1(s256, c_t1)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20643, 20571, 20607])).
% 16.92/11.73 tff(20645,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20646,plain,
% 16.92/11.73 ((~![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)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20647,plain,
% 16.92/11.73 ((~![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))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20646, 20645])).
% 16.92/11.73 tff(20648,plain,
% 16.92/11.73 (~m_main_v_state1(s256, c_n1)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20647, 10, 20644])).
% 16.92/11.73 tff(20649,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20650,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s256, c_n1) | (~node11(s256)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20651,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s256, c_n1) | (~node11(s256))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20650, 20649])).
% 16.92/11.73 tff(20652,plain,
% 16.92/11.73 (~node11(s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20651, 238, 20648])).
% 16.92/11.73 tff(20653,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20654,plain,
% 16.92/11.73 ((~![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)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20655,plain,
% 16.92/11.73 ((~![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))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20654, 20653])).
% 16.92/11.73 tff(20656,plain,
% 16.92/11.73 (~m_main_v_state1(s256, c_c1)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20655, 539, 20644])).
% 16.92/11.73 tff(20657,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20658,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s256, c_c1) | (~node10(s256)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20659,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s256, c_c1) | (~node10(s256))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20658, 20657])).
% 16.92/11.73 tff(20660,plain,
% 16.92/11.73 (~node10(s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20659, 675, 20656])).
% 16.92/11.73 tff(20661,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20662,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s256, c_n1) | (~node9(s256)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20663,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s256, c_n1) | (~node9(s256))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20662, 20661])).
% 16.92/11.73 tff(20664,plain,
% 16.92/11.73 (~node9(s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20663, 686, 20648])).
% 16.92/11.73 tff(20665,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20666,plain,
% 16.92/11.73 ((~![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)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20667,plain,
% 16.92/11.73 ((~![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))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20666, 20665])).
% 16.92/11.73 tff(20668,plain,
% 16.92/11.73 (~m_main_v_state2(s256, c_n2)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20667, 697, 20627])).
% 16.92/11.73 tff(20669,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20670,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s256, c_n2) | (~node8(s256)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20671,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s256, c_n2) | (~node8(s256))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20670, 20669])).
% 16.92/11.73 tff(20672,plain,
% 16.92/11.73 (~node8(s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20671, 271, 20668])).
% 16.92/11.73 tff(20673,plain,
% 16.92/11.73 (succ(s256, s257) <=> succ(s256, s257)),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20674,axiom,(succ(s256, s257)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound257')).
% 16.92/11.73 tff(20675,plain,
% 16.92/11.73 (succ(s256, s257)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20674, 20673])).
% 16.92/11.73 tff(20676,plain,
% 16.92/11.73 (((~![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))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20677,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20678,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20677, 20676])).
% 16.92/11.73 tff(20679,plain,
% 16.92/11.73 (trans(s256, s257)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20678, 20675, 32])).
% 16.92/11.73 tff(20680,plain,
% 16.92/11.73 (((~![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))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20681,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s256, s257)) | node14(s256, s257))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20682,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s256, s257)) | node14(s256, s257)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20681, 20680])).
% 16.92/11.73 tff(20683,plain,
% 16.92/11.73 (node14(s256, s257)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20682, 46, 20679])).
% 16.92/11.73 tff(20684,plain,
% 16.92/11.73 (((~![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(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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20685,plain,
% 16.92/11.73 (((~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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20686,plain,
% 16.92/11.73 (((~![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(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))))),
% 16.92/11.73 inference(monotonicity,[status(thm)],[20685])).
% 16.92/11.73 tff(20687,plain,
% 16.92/11.73 (((~![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(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)))),
% 16.92/11.73 inference(transitivity,[status(thm)],[20686, 20684])).
% 16.92/11.73 tff(20688,plain,
% 16.92/11.73 ((~![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(s256, c_c2)) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | m_main_v_state2(s257, c_n2))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20689,plain,
% 16.92/11.73 ((~![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(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20688, 20687])).
% 16.92/11.73 tff(20690,plain,
% 16.92/11.73 (m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~m_main_v_state2(s256, c_c2))),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20689, 726, 20683])).
% 16.92/11.73 tff(20691,plain,
% 16.92/11.73 (m_main_v_state2(s257, c_n2)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20690, 20672, 20627, 20664, 20660, 20652, 20635])).
% 16.92/11.73 tff(20692,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20693,plain,
% 16.92/11.73 ((~![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)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20694,plain,
% 16.92/11.73 ((~![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))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20693, 20692])).
% 16.92/11.73 tff(20695,plain,
% 16.92/11.73 (~m_main_v_state2(s257, c_c2)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20694, 697, 20691])).
% 16.92/11.73 tff(20696,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20697,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s257, c_c2) | (~node3(s257)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20698,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s257, c_c2) | (~node3(s257))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20697, 20696])).
% 16.92/11.73 tff(20699,plain,
% 16.92/11.73 (~node3(s257)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20698, 399, 20695])).
% 16.92/11.73 tff(20700,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20701,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s256, c_n1) | (~node1(s256)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20702,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s256, c_n1) | (~node1(s256))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20701, 20700])).
% 16.92/11.73 tff(20703,plain,
% 16.92/11.73 (~node1(s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20702, 421, 20648])).
% 16.92/11.73 tff(20704,plain,
% 16.92/11.73 (((~![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))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20705,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s255, s256)) | node18(s255, s256))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20706,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s255, s256)) | node18(s255, s256)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20705, 20704])).
% 16.92/11.73 tff(20707,plain,
% 16.92/11.73 (node18(s255, s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20706, 125, 20618])).
% 16.92/11.73 tff(20708,plain,
% 16.92/11.73 (((~![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(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))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20709,plain,
% 16.92/11.73 ((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node18(s255, s256)) | m_main_v_turn(s256, c_2))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20710,plain,
% 16.92/11.73 ((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node18(s255, s256)) | m_main_v_turn(s256, c_2)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20709, 20708])).
% 16.92/11.73 tff(20711,plain,
% 16.92/11.73 ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | m_main_v_turn(s256, c_2)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20710, 760, 20707])).
% 16.92/11.73 tff(20712,plain,
% 16.92/11.73 (m_main_v_turn(s256, c_2)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20711, 20571, 20607])).
% 16.92/11.73 tff(20713,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20714,plain,
% 16.92/11.73 ((~![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)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20715,plain,
% 16.92/11.73 ((~![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))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20714, 20713])).
% 16.92/11.73 tff(20716,plain,
% 16.92/11.73 (~m_main_v_turn(s256, c_1)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20715, 156, 20712])).
% 16.92/11.73 tff(20717,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20718,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s256, c_1) | (~node5(s256)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20719,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s256, c_1) | (~node5(s256))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20718, 20717])).
% 16.92/11.73 tff(20720,plain,
% 16.92/11.73 (~node5(s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20719, 776, 20716])).
% 16.92/11.73 tff(20721,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20722,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s256, c_n1) | (~node2(s256)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20723,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s256, c_n1) | (~node2(s256))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20722, 20721])).
% 16.92/11.73 tff(20724,plain,
% 16.92/11.73 (~node2(s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20723, 787, 20648])).
% 16.92/11.73 tff(20725,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20726,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s256, c_n1) | (~node3(s256)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20727,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s256, c_n1) | (~node3(s256))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20726, 20725])).
% 16.92/11.73 tff(20728,plain,
% 16.92/11.73 (~node3(s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20727, 798, 20648])).
% 16.92/11.73 tff(20729,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20730,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s256, c_n2) | (~node4(s256)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20731,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s256, c_n2) | (~node4(s256))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20730, 20729])).
% 16.92/11.73 tff(20732,plain,
% 16.92/11.73 (~node4(s256)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20731, 388, 20668])).
% 16.92/11.73 tff(20733,plain,
% 16.92/11.73 (((~![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))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20734,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s256, s257)) | node7(s256, s257))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20735,plain,
% 16.92/11.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s256, s257)) | node7(s256, s257)),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20734, 20733])).
% 16.92/11.73 tff(20736,plain,
% 16.92/11.73 (node7(s256, s257)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20735, 206, 20679])).
% 16.92/11.73 tff(20737,plain,
% 16.92/11.73 (((~![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(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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20738,plain,
% 16.92/11.73 ((~![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(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257) | (~node7(s256, s257)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20739,plain,
% 16.92/11.73 ((~![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(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257) | (~node7(s256, s257))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20738, 20737])).
% 16.92/11.73 tff(20740,plain,
% 16.92/11.73 (m_main_v_state1(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20739, 820, 20736])).
% 16.92/11.73 tff(20741,plain,
% 16.92/11.73 (node6(s256, s257)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20740, 20732, 20656, 20728, 20724, 20720, 20703])).
% 16.92/11.73 tff(20742,plain,
% 16.92/11.73 (((~![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(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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20743,plain,
% 16.92/11.73 (((~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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20744,plain,
% 16.92/11.73 (((~![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))))),
% 16.92/11.73 inference(monotonicity,[status(thm)],[20743])).
% 16.92/11.73 tff(20745,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(transitivity,[status(thm)],[20744, 20742])).
% 16.92/11.73 tff(20746,plain,
% 16.92/11.73 ((~![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)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20747,plain,
% 16.92/11.73 ((~![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(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20746, 20745])).
% 16.92/11.73 tff(20748,plain,
% 16.92/11.73 (~m_main_v_state1(s257, c_n1)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20747, 835, 20648, 20741])).
% 16.92/11.73 tff(20749,plain,
% 16.92/11.73 (((~![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)))),
% 16.92/11.73 inference(rewrite,[status(thm)],[])).
% 16.92/11.73 tff(20750,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s257, c_n1) | (~node2(s257)))),
% 16.92/11.73 inference(quant_inst,[status(thm)],[])).
% 16.92/11.73 tff(20751,plain,
% 16.92/11.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s257, c_n1) | (~node2(s257))),
% 16.92/11.73 inference(modus_ponens,[status(thm)],[20750, 20749])).
% 16.92/11.73 tff(20752,plain,
% 16.92/11.73 (~node2(s257)),
% 16.92/11.73 inference(unit_resolution,[status(thm)],[20751, 787, 20748])).
% 16.92/11.73 tff(20753,plain,
% 16.92/11.73 (((~![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(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)))),
% 16.92/11.74 inference(rewrite,[status(thm)],[])).
% 16.92/11.74 tff(20754,plain,
% 16.92/11.74 (((~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)))),
% 16.92/11.74 inference(rewrite,[status(thm)],[])).
% 16.92/11.74 tff(20755,plain,
% 16.92/11.74 (((~![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))))),
% 16.92/11.74 inference(monotonicity,[status(thm)],[20754])).
% 16.92/11.74 tff(20756,plain,
% 16.92/11.74 (((~![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)))),
% 16.92/11.74 inference(transitivity,[status(thm)],[20755, 20753])).
% 16.92/11.74 tff(20757,plain,
% 16.92/11.74 ((~![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))),
% 16.92/11.74 inference(quant_inst,[status(thm)],[])).
% 16.92/11.74 tff(20758,plain,
% 16.92/11.74 ((~![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(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257))),
% 16.92/11.74 inference(modus_ponens,[status(thm)],[20757, 20756])).
% 16.92/11.74 tff(20759,plain,
% 16.92/11.74 (m_main_v_state1(s257, c_t1)),
% 16.92/11.74 inference(unit_resolution,[status(thm)],[20758, 856, 20644, 20741])).
% 16.92/11.74 tff(20760,plain,
% 16.92/11.74 (((~![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)))),
% 16.92/11.74 inference(rewrite,[status(thm)],[])).
% 16.92/11.74 tff(20761,plain,
% 16.92/11.74 ((~![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)))),
% 16.92/11.74 inference(quant_inst,[status(thm)],[])).
% 16.92/11.74 tff(20762,plain,
% 16.92/11.74 ((~![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))),
% 16.92/11.74 inference(modus_ponens,[status(thm)],[20761, 20760])).
% 16.92/11.74 tff(20763,plain,
% 16.92/11.74 (~m_main_v_state2(s257, c_t2)),
% 16.92/11.74 inference(unit_resolution,[status(thm)],[20762, 77, 20691])).
% 16.92/11.74 tff(20764,plain,
% 16.92/11.74 (((~![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)))),
% 16.92/11.74 inference(rewrite,[status(thm)],[])).
% 16.92/11.74 tff(20765,plain,
% 16.92/11.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s257, c_t2) | (~node1(s257)))),
% 16.92/11.74 inference(quant_inst,[status(thm)],[])).
% 16.92/11.74 tff(20766,plain,
% 16.92/11.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s257, c_t2) | (~node1(s257))),
% 16.92/11.74 inference(modus_ponens,[status(thm)],[20765, 20764])).
% 16.92/11.74 tff(20767,plain,
% 16.92/11.74 (~node1(s257)),
% 16.92/11.74 inference(unit_resolution,[status(thm)],[20766, 195, 20763])).
% 16.92/11.74 tff(20768,plain,
% 16.92/11.74 (succ(s257, s258) <=> succ(s257, s258)),
% 16.92/11.74 inference(rewrite,[status(thm)],[])).
% 16.92/11.74 tff(20769,axiom,(succ(s257, s258)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound258')).
% 16.92/11.74 tff(20770,plain,
% 16.92/11.74 (succ(s257, s258)),
% 16.92/11.74 inference(modus_ponens,[status(thm)],[20769, 20768])).
% 16.92/11.74 tff(20771,plain,
% 16.92/11.74 (((~![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))),
% 16.92/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20772,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20773,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258)),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20772, 20771])).
% 16.94/11.74 tff(20774,plain,
% 16.94/11.74 (trans(s257, s258)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20773, 20770, 32])).
% 16.94/11.74 tff(20775,plain,
% 16.94/11.74 (((~![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))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20776,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s257, s258)) | node7(s257, s258))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20777,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s257, s258)) | node7(s257, s258)),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20776, 20775])).
% 16.94/11.74 tff(20778,plain,
% 16.94/11.74 (node7(s257, s258)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20777, 206, 20774])).
% 16.94/11.74 tff(20779,plain,
% 16.94/11.74 (((~![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(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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20780,plain,
% 16.94/11.74 (((~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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20781,plain,
% 16.94/11.74 (((~![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(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))))),
% 16.94/11.74 inference(monotonicity,[status(thm)],[20780])).
% 16.94/11.74 tff(20782,plain,
% 16.94/11.74 (((~![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(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)))),
% 16.94/11.74 inference(transitivity,[status(thm)],[20781, 20779])).
% 16.94/11.74 tff(20783,plain,
% 16.94/11.74 ((~![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(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))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20784,plain,
% 16.94/11.74 ((~![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(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))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20783, 20782])).
% 16.94/11.74 tff(20785,plain,
% 16.94/11.74 ((~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)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20784, 892, 20778])).
% 16.94/11.74 tff(20786,plain,
% 16.94/11.74 (m_main_v_state1(s258, c_c1)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20785, 20767, 20691, 20759, 20752, 20699])).
% 16.94/11.74 tff(20787,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20788,plain,
% 16.94/11.74 ((~![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)))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20789,plain,
% 16.94/11.74 ((~![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))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20788, 20787])).
% 16.94/11.74 tff(20790,plain,
% 16.94/11.74 (~m_main_v_state1(s258, c_t1)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20789, 539, 20786])).
% 16.94/11.74 tff(20791,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20792,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s258, c_t1) | (~node5(s258)))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20793,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s258, c_t1) | (~node5(s258))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20792, 20791])).
% 16.94/11.74 tff(20794,plain,
% 16.94/11.74 (~node5(s258)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20793, 550, 20790])).
% 16.94/11.74 tff(20795,plain,
% 16.94/11.74 (((~![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))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20796,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s257, s258)) | node14(s257, s258))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20797,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s257, s258)) | node14(s257, s258)),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20796, 20795])).
% 16.94/11.74 tff(20798,plain,
% 16.94/11.74 (node14(s257, s258)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20797, 46, 20774])).
% 16.94/11.74 tff(20799,plain,
% 16.94/11.74 (((~![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(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))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20800,plain,
% 16.94/11.74 ((~![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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | (~node14(s257, s258)) | m_main_v_state2(s258, c_t2))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20801,plain,
% 16.94/11.74 ((~![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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | (~node14(s257, s258)) | m_main_v_state2(s258, c_t2)),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20800, 20799])).
% 16.94/11.74 tff(20802,plain,
% 16.94/11.74 ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state2(s258, c_t2)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20801, 922, 20798])).
% 16.94/11.74 tff(20803,plain,
% 16.94/11.74 (m_main_v_state2(s258, c_t2)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20802, 20759, 20691])).
% 16.94/11.74 tff(20804,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20805,plain,
% 16.94/11.74 ((~![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)))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20806,plain,
% 16.94/11.74 ((~![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))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20805, 20804])).
% 16.94/11.74 tff(20807,plain,
% 16.94/11.74 (~m_main_v_state2(s258, c_n2)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20806, 77, 20803])).
% 16.94/11.74 tff(20808,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20809,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s258, c_n2) | (~node4(s258)))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20810,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s258, c_n2) | (~node4(s258))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20809, 20808])).
% 16.94/11.74 tff(20811,plain,
% 16.94/11.74 (~node4(s258)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20810, 388, 20807])).
% 16.94/11.74 tff(20812,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20813,plain,
% 16.94/11.74 ((~![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)))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20814,plain,
% 16.94/11.74 ((~![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))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20813, 20812])).
% 16.94/11.74 tff(20815,plain,
% 16.94/11.74 (~m_main_v_state2(s258, c_c2)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20814, 260, 20803])).
% 16.94/11.74 tff(20816,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20817,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s258, c_c2) | (~node3(s258)))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20818,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s258, c_c2) | (~node3(s258))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20817, 20816])).
% 16.94/11.74 tff(20819,plain,
% 16.94/11.74 (~node3(s258)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20818, 399, 20815])).
% 16.94/11.74 tff(20820,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20821,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s258, c_n2) | (~node2(s258)))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20822,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s258, c_n2) | (~node2(s258))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20821, 20820])).
% 16.94/11.74 tff(20823,plain,
% 16.94/11.74 (~node2(s258)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20822, 410, 20807])).
% 16.94/11.74 tff(20824,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20825,plain,
% 16.94/11.74 ((~![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)))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20826,plain,
% 16.94/11.74 ((~![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))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20825, 20824])).
% 16.94/11.74 tff(20827,plain,
% 16.94/11.74 (~m_main_v_state1(s258, c_n1)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20826, 454, 20786])).
% 16.94/11.74 tff(20828,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20829,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s258, c_n1) | (~node1(s258)))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20830,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s258, c_n1) | (~node1(s258))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20829, 20828])).
% 16.94/11.74 tff(20831,plain,
% 16.94/11.74 (~node1(s258)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20830, 421, 20827])).
% 16.94/11.74 tff(20832,plain,
% 16.94/11.74 (succ(s258, s259) <=> succ(s258, s259)),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20833,axiom,(succ(s258, s259)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound259')).
% 16.94/11.74 tff(20834,plain,
% 16.94/11.74 (succ(s258, s259)),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20833, 20832])).
% 16.94/11.74 tff(20835,plain,
% 16.94/11.74 (((~![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))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20836,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20837,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259)),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20836, 20835])).
% 16.94/11.74 tff(20838,plain,
% 16.94/11.74 (trans(s258, s259)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20837, 20834, 32])).
% 16.94/11.74 tff(20839,plain,
% 16.94/11.74 (((~![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))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20840,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s258, s259)) | node7(s258, s259))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20841,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s258, s259)) | node7(s258, s259)),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20840, 20839])).
% 16.94/11.74 tff(20842,plain,
% 16.94/11.74 (node7(s258, s259)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20841, 206, 20838])).
% 16.94/11.74 tff(20843,plain,
% 16.94/11.74 (((~![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(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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20844,plain,
% 16.94/11.74 (((~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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20845,plain,
% 16.94/11.74 (((~![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(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))))),
% 16.94/11.74 inference(monotonicity,[status(thm)],[20844])).
% 16.94/11.74 tff(20846,plain,
% 16.94/11.74 (((~![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(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)))),
% 16.94/11.74 inference(transitivity,[status(thm)],[20845, 20843])).
% 16.94/11.74 tff(20847,plain,
% 16.94/11.74 ((~![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(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)) | m_main_v_state1(s259, c_n1))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20848,plain,
% 16.94/11.74 ((~![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(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20847, 20846])).
% 16.94/11.74 tff(20849,plain,
% 16.94/11.74 (m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20848, 584, 20842])).
% 16.94/11.74 tff(20850,plain,
% 16.94/11.74 (m_main_v_state1(s259, c_n1)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20849, 20831, 20786, 20823, 20819, 20811, 20794])).
% 16.94/11.74 tff(20851,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20852,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s257, c_t2) | (~node15(s257)))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20853,plain,
% 16.94/11.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s257, c_t2) | (~node15(s257))),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20852, 20851])).
% 16.94/11.74 tff(20854,plain,
% 16.94/11.74 (~node15(s257)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20853, 103, 20763])).
% 16.94/11.74 tff(20855,plain,
% 16.94/11.74 (((~![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))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20856,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s257, s258)) | node18(s257, s258))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20857,plain,
% 16.94/11.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s257, s258)) | node18(s257, s258)),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20856, 20855])).
% 16.94/11.74 tff(20858,plain,
% 16.94/11.74 (node18(s257, s258)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20857, 125, 20774])).
% 16.94/11.74 tff(20859,plain,
% 16.94/11.74 (((~![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(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))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20860,plain,
% 16.94/11.74 (((~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))),
% 16.94/11.74 inference(rewrite,[status(thm)],[])).
% 16.94/11.74 tff(20861,plain,
% 16.94/11.74 (((~![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))) | ((~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)))),
% 16.94/11.74 inference(monotonicity,[status(thm)],[20860])).
% 16.94/11.74 tff(20862,plain,
% 16.94/11.74 (((~![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))) | ((~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))),
% 16.94/11.74 inference(transitivity,[status(thm)],[20861, 20859])).
% 16.94/11.74 tff(20863,plain,
% 16.94/11.74 ((~![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))) | ((~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))),
% 16.94/11.74 inference(quant_inst,[status(thm)],[])).
% 16.94/11.74 tff(20864,plain,
% 16.94/11.74 ((~![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(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)),
% 16.94/11.74 inference(modus_ponens,[status(thm)],[20863, 20862])).
% 16.94/11.74 tff(20865,plain,
% 16.94/11.74 (node15(s257) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20864, 992, 20858])).
% 16.94/11.74 tff(20866,plain,
% 16.94/11.74 (m_main_v_turn(s258, c_1)),
% 16.94/11.74 inference(unit_resolution,[status(thm)],[20865, 20854, 20691, 20759])).
% 16.94/11.74 tff(20867,plain,
% 16.94/11.74 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20868,plain,
% 16.94/11.75 ((~![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)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20869,plain,
% 16.94/11.75 ((~![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))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20868, 20867])).
% 16.94/11.75 tff(20870,plain,
% 16.94/11.75 (~m_main_v_turn(s258, c_2)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20869, 156, 20866])).
% 16.94/11.75 tff(20871,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20872,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s258, c_2) | (~node12(s258)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20873,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s258, c_2) | (~node12(s258))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20872, 20871])).
% 16.94/11.75 tff(20874,plain,
% 16.94/11.75 (~node12(s258)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20873, 184, 20870])).
% 16.94/11.75 tff(20875,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20876,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s258, c_n2) | (~node8(s258)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20877,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s258, c_n2) | (~node8(s258))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20876, 20875])).
% 16.94/11.75 tff(20878,plain,
% 16.94/11.75 (~node8(s258)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20877, 271, 20807])).
% 16.94/11.75 tff(20879,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20880,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s258, c_n2) | (~node9(s258)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20881,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s258, c_n2) | (~node9(s258))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20880, 20879])).
% 16.94/11.75 tff(20882,plain,
% 16.94/11.75 (~node9(s258)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20881, 88, 20807])).
% 16.94/11.75 tff(20883,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20884,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s258, c_n2) | (~node10(s258)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20885,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s258, c_n2) | (~node10(s258))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20884, 20883])).
% 16.94/11.75 tff(20886,plain,
% 16.94/11.75 (~node10(s258)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20885, 249, 20807])).
% 16.94/11.75 tff(20887,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20888,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s258, c_n1) | (~node11(s258)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20889,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s258, c_n1) | (~node11(s258))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20888, 20887])).
% 16.94/11.75 tff(20890,plain,
% 16.94/11.75 (~node11(s258)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20889, 238, 20827])).
% 16.94/11.75 tff(20891,plain,
% 16.94/11.75 (((~![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))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20892,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s258, s259)) | node14(s258, s259))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20893,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s258, s259)) | node14(s258, s259)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20892, 20891])).
% 16.94/11.75 tff(20894,plain,
% 16.94/11.75 (node14(s258, s259)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20893, 46, 20838])).
% 16.94/11.75 tff(20895,plain,
% 16.94/11.75 (((~![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(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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20896,plain,
% 16.94/11.75 ((~![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(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259) | (~node14(s258, s259)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20897,plain,
% 16.94/11.75 ((~![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(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259) | (~node14(s258, s259))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20896, 20895])).
% 16.94/11.75 tff(20898,plain,
% 16.94/11.75 (m_main_v_state2(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20897, 296, 20894])).
% 16.94/11.75 tff(20899,plain,
% 16.94/11.75 (node13(s258, s259)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20898, 20890, 20815, 20886, 20882, 20878, 20874])).
% 16.94/11.75 tff(20900,plain,
% 16.94/11.75 (((~![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(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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20901,plain,
% 16.94/11.75 (((~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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20902,plain,
% 16.94/11.75 (((~![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))))),
% 16.94/11.75 inference(monotonicity,[status(thm)],[20901])).
% 16.94/11.75 tff(20903,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(transitivity,[status(thm)],[20902, 20900])).
% 16.94/11.75 tff(20904,plain,
% 16.94/11.75 ((~![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))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20905,plain,
% 16.94/11.75 ((~![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(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20904, 20903])).
% 16.94/11.75 tff(20906,plain,
% 16.94/11.75 (m_main_v_state2(s259, c_t2)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20905, 518, 20803, 20899])).
% 16.94/11.75 tff(20907,plain,
% 16.94/11.75 (succ(s259, s260) <=> succ(s259, s260)),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20908,axiom,(succ(s259, s260)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound260')).
% 16.94/11.75 tff(20909,plain,
% 16.94/11.75 (succ(s259, s260)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20908, 20907])).
% 16.94/11.75 tff(20910,plain,
% 16.94/11.75 (((~![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))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20911,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20912,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20911, 20910])).
% 16.94/11.75 tff(20913,plain,
% 16.94/11.75 (trans(s259, s260)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20912, 20909, 32])).
% 16.94/11.75 tff(20914,plain,
% 16.94/11.75 (((~![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))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20915,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s259, s260)) | node7(s259, s260))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20916,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s259, s260)) | node7(s259, s260)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20915, 20914])).
% 16.94/11.75 tff(20917,plain,
% 16.94/11.75 (node7(s259, s260)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20916, 206, 20913])).
% 16.94/11.75 tff(20918,plain,
% 16.94/11.75 (((~![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(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))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20919,plain,
% 16.94/11.75 ((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node7(s259, s260)) | m_main_v_state1(s260, c_t1))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20920,plain,
% 16.94/11.75 ((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node7(s259, s260)) | m_main_v_state1(s260, c_t1)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20919, 20918])).
% 16.94/11.75 tff(20921,plain,
% 16.94/11.75 ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | m_main_v_state1(s260, c_t1)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20920, 651, 20917])).
% 16.94/11.75 tff(20922,plain,
% 16.94/11.75 (m_main_v_state1(s260, c_t1)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20921, 20906, 20850])).
% 16.94/11.75 tff(20923,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20924,plain,
% 16.94/11.75 ((~![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)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20925,plain,
% 16.94/11.75 ((~![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))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20924, 20923])).
% 16.94/11.75 tff(20926,plain,
% 16.94/11.75 (~m_main_v_state1(s260, c_n1)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20925, 10, 20922])).
% 16.94/11.75 tff(20927,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20928,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s260, c_n1) | (~node1(s260)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20929,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s260, c_n1) | (~node1(s260))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20928, 20927])).
% 16.94/11.75 tff(20930,plain,
% 16.94/11.75 (~node1(s260)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20929, 421, 20926])).
% 16.94/11.75 tff(20931,plain,
% 16.94/11.75 (((~![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))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20932,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s259, s260)) | node18(s259, s260))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20933,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s259, s260)) | node18(s259, s260)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20932, 20931])).
% 16.94/11.75 tff(20934,plain,
% 16.94/11.75 (node18(s259, s260)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20933, 125, 20913])).
% 16.94/11.75 tff(20935,plain,
% 16.94/11.75 (((~![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(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))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20936,plain,
% 16.94/11.75 ((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node18(s259, s260)) | m_main_v_turn(s260, c_2))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20937,plain,
% 16.94/11.75 ((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node18(s259, s260)) | m_main_v_turn(s260, c_2)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20936, 20935])).
% 16.94/11.75 tff(20938,plain,
% 16.94/11.75 ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | m_main_v_turn(s260, c_2)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20937, 760, 20934])).
% 16.94/11.75 tff(20939,plain,
% 16.94/11.75 (m_main_v_turn(s260, c_2)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20938, 20906, 20850])).
% 16.94/11.75 tff(20940,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20941,plain,
% 16.94/11.75 ((~![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)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20942,plain,
% 16.94/11.75 ((~![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))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20941, 20940])).
% 16.94/11.75 tff(20943,plain,
% 16.94/11.75 (~m_main_v_turn(s260, c_1)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20942, 156, 20939])).
% 16.94/11.75 tff(20944,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20945,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s260, c_1) | (~node5(s260)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20946,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s260, c_1) | (~node5(s260))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20945, 20944])).
% 16.94/11.75 tff(20947,plain,
% 16.94/11.75 (~node5(s260)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20946, 776, 20943])).
% 16.94/11.75 tff(20948,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20949,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s260, c_n1) | (~node2(s260)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20950,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s260, c_n1) | (~node2(s260))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20949, 20948])).
% 16.94/11.75 tff(20951,plain,
% 16.94/11.75 (~node2(s260)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20950, 787, 20926])).
% 16.94/11.75 tff(20952,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20953,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s260, c_n1) | (~node3(s260)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20954,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s260, c_n1) | (~node3(s260))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20953, 20952])).
% 16.94/11.75 tff(20955,plain,
% 16.94/11.75 (~node3(s260)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20954, 798, 20926])).
% 16.94/11.75 tff(20956,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20957,plain,
% 16.94/11.75 ((~![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)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20958,plain,
% 16.94/11.75 ((~![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))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20957, 20956])).
% 16.94/11.75 tff(20959,plain,
% 16.94/11.75 (~m_main_v_state1(s260, c_c1)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20958, 539, 20922])).
% 16.94/11.75 tff(20960,plain,
% 16.94/11.75 (((~![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(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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20961,plain,
% 16.94/11.75 (((~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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20962,plain,
% 16.94/11.75 (((~![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))))),
% 16.94/11.75 inference(monotonicity,[status(thm)],[20961])).
% 16.94/11.75 tff(20963,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(transitivity,[status(thm)],[20962, 20960])).
% 16.94/11.75 tff(20964,plain,
% 16.94/11.75 ((~![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)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20965,plain,
% 16.94/11.75 ((~![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(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20964, 20963])).
% 16.94/11.75 tff(20966,plain,
% 16.94/11.75 (~m_main_v_state2(s259, c_n2)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20965, 311, 20807, 20899])).
% 16.94/11.75 tff(20967,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20968,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s259, c_n2) | (~node9(s259)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20969,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s259, c_n2) | (~node9(s259))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20968, 20967])).
% 16.94/11.75 tff(20970,plain,
% 16.94/11.75 (~node9(s259)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20969, 88, 20966])).
% 16.94/11.75 tff(20971,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20972,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s259, c_n2) | (~node10(s259)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20973,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s259, c_n2) | (~node10(s259))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20972, 20971])).
% 16.94/11.75 tff(20974,plain,
% 16.94/11.75 (~node10(s259)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20973, 249, 20966])).
% 16.94/11.75 tff(20975,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20976,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s259, c_n2) | (~node8(s259)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20977,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s259, c_n2) | (~node8(s259))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20976, 20975])).
% 16.94/11.75 tff(20978,plain,
% 16.94/11.75 (~node8(s259)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20977, 271, 20966])).
% 16.94/11.75 tff(20979,plain,
% 16.94/11.75 (((~![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))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20980,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s259, s260)) | node14(s259, s260))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20981,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s259, s260)) | node14(s259, s260)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20980, 20979])).
% 16.94/11.75 tff(20982,plain,
% 16.94/11.75 (node14(s259, s260)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20981, 46, 20913])).
% 16.94/11.75 tff(20983,plain,
% 16.94/11.75 (((~![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(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))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20984,plain,
% 16.94/11.75 ((~![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(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))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20985,plain,
% 16.94/11.75 ((~![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(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)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20984, 20983])).
% 16.94/11.75 tff(20986,plain,
% 16.94/11.75 ((~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)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20985, 617, 20982])).
% 16.94/11.75 tff(20987,plain,
% 16.94/11.75 (m_main_v_state2(s260, c_c2)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20986, 20978, 20850, 20906, 20974, 20970])).
% 16.94/11.75 tff(20988,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20989,plain,
% 16.94/11.75 ((~![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)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20990,plain,
% 16.94/11.75 ((~![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))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20989, 20988])).
% 16.94/11.75 tff(20991,plain,
% 16.94/11.75 (~m_main_v_state2(s260, c_n2)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20990, 697, 20987])).
% 16.94/11.75 tff(20992,plain,
% 16.94/11.75 (((~![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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20993,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s260, c_n2) | (~node4(s260)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(20994,plain,
% 16.94/11.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s260, c_n2) | (~node4(s260))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20993, 20992])).
% 16.94/11.75 tff(20995,plain,
% 16.94/11.75 (~node4(s260)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[20994, 388, 20991])).
% 16.94/11.75 tff(20996,plain,
% 16.94/11.75 (succ(s260, s261) <=> succ(s260, s261)),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(20997,axiom,(succ(s260, s261)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound261')).
% 16.94/11.75 tff(20998,plain,
% 16.94/11.75 (succ(s260, s261)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[20997, 20996])).
% 16.94/11.75 tff(20999,plain,
% 16.94/11.75 (((~![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))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(21000,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(21001,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[21000, 20999])).
% 16.94/11.75 tff(21002,plain,
% 16.94/11.75 (trans(s260, s261)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[21001, 20998, 32])).
% 16.94/11.75 tff(21003,plain,
% 16.94/11.75 (((~![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))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(21004,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s260, s261)) | node7(s260, s261))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(21005,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s260, s261)) | node7(s260, s261)),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[21004, 21003])).
% 16.94/11.75 tff(21006,plain,
% 16.94/11.75 (node7(s260, s261)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[21005, 206, 21002])).
% 16.94/11.75 tff(21007,plain,
% 16.94/11.75 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.94/11.75 inference(rewrite,[status(thm)],[])).
% 16.94/11.75 tff(21008,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261) | (~node7(s260, s261)))),
% 16.94/11.75 inference(quant_inst,[status(thm)],[])).
% 16.94/11.75 tff(21009,plain,
% 16.94/11.75 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261) | (~node7(s260, s261))),
% 16.94/11.75 inference(modus_ponens,[status(thm)],[21008, 21007])).
% 16.94/11.75 tff(21010,plain,
% 16.94/11.75 (m_main_v_state1(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[21009, 820, 21006])).
% 16.94/11.75 tff(21011,plain,
% 16.94/11.75 (node6(s260, s261)),
% 16.94/11.75 inference(unit_resolution,[status(thm)],[21010, 20995, 20959, 20955, 20951, 20947, 20930])).
% 16.94/11.75 tff(21012,plain,
% 16.94/11.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21013,plain,
% 16.94/11.76 (((~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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21014,plain,
% 16.94/11.76 (((~![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))))),
% 16.94/11.76 inference(monotonicity,[status(thm)],[21013])).
% 16.94/11.76 tff(21015,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(transitivity,[status(thm)],[21014, 21012])).
% 16.94/11.76 tff(21016,plain,
% 16.94/11.76 ((~![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))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21017,plain,
% 16.94/11.76 ((~![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(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21016, 21015])).
% 16.94/11.76 tff(21018,plain,
% 16.94/11.76 (m_main_v_state1(s261, c_t1)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21017, 856, 20922, 21011])).
% 16.94/11.76 tff(21019,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21020,plain,
% 16.94/11.76 ((~![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)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21021,plain,
% 16.94/11.76 ((~![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))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21020, 21019])).
% 16.94/11.76 tff(21022,plain,
% 16.94/11.76 (~m_main_v_state2(s260, c_t2)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21021, 260, 20987])).
% 16.94/11.76 tff(21023,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21024,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s260, c_t2) | (~node12(s260)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21025,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s260, c_t2) | (~node12(s260))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21024, 21023])).
% 16.94/11.76 tff(21026,plain,
% 16.94/11.76 (~node12(s260)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21025, 633, 21022])).
% 16.94/11.76 tff(21027,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21028,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s260, c_n1) | (~node11(s260)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21029,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s260, c_n1) | (~node11(s260))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21028, 21027])).
% 16.94/11.76 tff(21030,plain,
% 16.94/11.76 (~node11(s260)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21029, 238, 20926])).
% 16.94/11.76 tff(21031,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21032,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s260, c_c1) | (~node10(s260)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21033,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s260, c_c1) | (~node10(s260))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21032, 21031])).
% 16.94/11.76 tff(21034,plain,
% 16.94/11.76 (~node10(s260)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21033, 675, 20959])).
% 16.94/11.76 tff(21035,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21036,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s260, c_n1) | (~node9(s260)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21037,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s260, c_n1) | (~node9(s260))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21036, 21035])).
% 16.94/11.76 tff(21038,plain,
% 16.94/11.76 (~node9(s260)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21037, 686, 20926])).
% 16.94/11.76 tff(21039,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21040,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s260, c_n2) | (~node8(s260)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21041,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s260, c_n2) | (~node8(s260))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21040, 21039])).
% 16.94/11.76 tff(21042,plain,
% 16.94/11.76 (~node8(s260)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21041, 271, 20991])).
% 16.94/11.76 tff(21043,plain,
% 16.94/11.76 (((~![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))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21044,plain,
% 16.94/11.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s260, s261)) | node14(s260, s261))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21045,plain,
% 16.94/11.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s260, s261)) | node14(s260, s261)),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21044, 21043])).
% 16.94/11.76 tff(21046,plain,
% 16.94/11.76 (node14(s260, s261)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21045, 46, 21002])).
% 16.94/11.76 tff(21047,plain,
% 16.94/11.76 (((~![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(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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21048,plain,
% 16.94/11.76 (((~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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21049,plain,
% 16.94/11.76 (((~![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(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))))),
% 16.94/11.76 inference(monotonicity,[status(thm)],[21048])).
% 16.94/11.76 tff(21050,plain,
% 16.94/11.76 (((~![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(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)))),
% 16.94/11.76 inference(transitivity,[status(thm)],[21049, 21047])).
% 16.94/11.76 tff(21051,plain,
% 16.94/11.76 ((~![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(s260, c_c2)) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | m_main_v_state2(s261, c_n2))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21052,plain,
% 16.94/11.76 ((~![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(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21051, 21050])).
% 16.94/11.76 tff(21053,plain,
% 16.94/11.76 (m_main_v_state2(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~m_main_v_state2(s260, c_c2))),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21052, 726, 21046])).
% 16.94/11.76 tff(21054,plain,
% 16.94/11.76 (m_main_v_state2(s261, c_n2)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21053, 21042, 20987, 21038, 21034, 21030, 21026])).
% 16.94/11.76 tff(21055,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21056,plain,
% 16.94/11.76 ((~![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)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21057,plain,
% 16.94/11.76 ((~![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))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21056, 21055])).
% 16.94/11.76 tff(21058,plain,
% 16.94/11.76 (~m_main_v_state2(s261, c_t2)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21057, 77, 21054])).
% 16.94/11.76 tff(21059,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21060,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s261, c_t2) | (~node15(s261)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21061,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s261, c_t2) | (~node15(s261))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21060, 21059])).
% 16.94/11.76 tff(21062,plain,
% 16.94/11.76 (~node15(s261)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21061, 103, 21058])).
% 16.94/11.76 tff(21063,plain,
% 16.94/11.76 (succ(s261, s262) <=> succ(s261, s262)),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21064,axiom,(succ(s261, s262)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound262')).
% 16.94/11.76 tff(21065,plain,
% 16.94/11.76 (succ(s261, s262)),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21064, 21063])).
% 16.94/11.76 tff(21066,plain,
% 16.94/11.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21067,plain,
% 16.94/11.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21068,plain,
% 16.94/11.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262)),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21067, 21066])).
% 16.94/11.76 tff(21069,plain,
% 16.94/11.76 (trans(s261, s262)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21068, 21065, 32])).
% 16.94/11.76 tff(21070,plain,
% 16.94/11.76 (((~![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))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21071,plain,
% 16.94/11.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s261, s262)) | node18(s261, s262))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21072,plain,
% 16.94/11.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s261, s262)) | node18(s261, s262)),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21071, 21070])).
% 16.94/11.76 tff(21073,plain,
% 16.94/11.76 (node18(s261, s262)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21072, 125, 21069])).
% 16.94/11.76 tff(21074,plain,
% 16.94/11.76 (((~![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(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))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21075,plain,
% 16.94/11.76 (((~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))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21076,plain,
% 16.94/11.76 (((~![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(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)))),
% 16.94/11.76 inference(monotonicity,[status(thm)],[21075])).
% 16.94/11.76 tff(21077,plain,
% 16.94/11.76 (((~![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(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))),
% 16.94/11.76 inference(transitivity,[status(thm)],[21076, 21074])).
% 16.94/11.76 tff(21078,plain,
% 16.94/11.76 ((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node15(s261) | (~node18(s261, s262)) | m_main_v_turn(s262, c_1))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21079,plain,
% 16.94/11.76 ((~![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(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)),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21078, 21077])).
% 16.94/11.76 tff(21080,plain,
% 16.94/11.76 (node15(s261) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21079, 992, 21073])).
% 16.94/11.76 tff(21081,plain,
% 16.94/11.76 (m_main_v_turn(s262, c_1)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21080, 21062, 21054, 21018])).
% 16.94/11.76 tff(21082,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21083,plain,
% 16.94/11.76 ((~![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)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21084,plain,
% 16.94/11.76 ((~![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))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21083, 21082])).
% 16.94/11.76 tff(21085,plain,
% 16.94/11.76 (~m_main_v_turn(s262, c_2)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21084, 156, 21081])).
% 16.94/11.76 tff(21086,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21087,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s262, c_2) | (~node12(s262)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21088,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s262, c_2) | (~node12(s262))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21087, 21086])).
% 16.94/11.76 tff(21089,plain,
% 16.94/11.76 (~node12(s262)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21088, 184, 21085])).
% 16.94/11.76 tff(21090,plain,
% 16.94/11.76 (((~![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))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21091,plain,
% 16.94/11.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s261, s262)) | node14(s261, s262))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21092,plain,
% 16.94/11.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s261, s262)) | node14(s261, s262)),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21091, 21090])).
% 16.94/11.76 tff(21093,plain,
% 16.94/11.76 (node14(s261, s262)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21092, 46, 21069])).
% 16.94/11.76 tff(21094,plain,
% 16.94/11.76 (((~![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(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))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21095,plain,
% 16.94/11.76 ((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | (~node14(s261, s262)) | m_main_v_state2(s262, c_t2))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21096,plain,
% 16.94/11.76 ((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | (~node14(s261, s262)) | m_main_v_state2(s262, c_t2)),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21095, 21094])).
% 16.94/11.76 tff(21097,plain,
% 16.94/11.76 ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state2(s262, c_t2)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21096, 922, 21093])).
% 16.94/11.76 tff(21098,plain,
% 16.94/11.76 (m_main_v_state2(s262, c_t2)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21097, 21018, 21054])).
% 16.94/11.76 tff(21099,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21100,plain,
% 16.94/11.76 ((~![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)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21101,plain,
% 16.94/11.76 ((~![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))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21100, 21099])).
% 16.94/11.76 tff(21102,plain,
% 16.94/11.76 (~m_main_v_state2(s262, c_n2)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21101, 77, 21098])).
% 16.94/11.76 tff(21103,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21104,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s262, c_n2) | (~node8(s262)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21105,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s262, c_n2) | (~node8(s262))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21104, 21103])).
% 16.94/11.76 tff(21106,plain,
% 16.94/11.76 (~node8(s262)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21105, 271, 21102])).
% 16.94/11.76 tff(21107,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21108,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s262, c_n2) | (~node9(s262)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21109,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s262, c_n2) | (~node9(s262))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21108, 21107])).
% 16.94/11.76 tff(21110,plain,
% 16.94/11.76 (~node9(s262)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21109, 88, 21102])).
% 16.94/11.76 tff(21111,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21112,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s262, c_n2) | (~node10(s262)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21113,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s262, c_n2) | (~node10(s262))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21112, 21111])).
% 16.94/11.76 tff(21114,plain,
% 16.94/11.76 (~node10(s262)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21113, 249, 21102])).
% 16.94/11.76 tff(21115,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21116,plain,
% 16.94/11.76 ((~![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)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21117,plain,
% 16.94/11.76 ((~![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))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21116, 21115])).
% 16.94/11.76 tff(21118,plain,
% 16.94/11.76 (~m_main_v_state2(s262, c_c2)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21117, 260, 21098])).
% 16.94/11.76 tff(21119,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21120,plain,
% 16.94/11.76 ((~![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)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21121,plain,
% 16.94/11.76 ((~![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))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21120, 21119])).
% 16.94/11.76 tff(21122,plain,
% 16.94/11.76 (~m_main_v_state2(s261, c_c2)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21121, 697, 21054])).
% 16.94/11.76 tff(21123,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21124,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s261, c_c2) | (~node3(s261)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21125,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s261, c_c2) | (~node3(s261))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21124, 21123])).
% 16.94/11.76 tff(21126,plain,
% 16.94/11.76 (~node3(s261)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21125, 399, 21122])).
% 16.94/11.76 tff(21127,plain,
% 16.94/11.76 (((~![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(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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21128,plain,
% 16.94/11.76 (((~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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21129,plain,
% 16.94/11.76 (((~![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))))),
% 16.94/11.76 inference(monotonicity,[status(thm)],[21128])).
% 16.94/11.76 tff(21130,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(transitivity,[status(thm)],[21129, 21127])).
% 16.94/11.76 tff(21131,plain,
% 16.94/11.76 ((~![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)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21132,plain,
% 16.94/11.76 ((~![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(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21131, 21130])).
% 16.94/11.76 tff(21133,plain,
% 16.94/11.76 (~m_main_v_state1(s261, c_n1)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21132, 835, 20926, 21011])).
% 16.94/11.76 tff(21134,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21135,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s261, c_n1) | (~node2(s261)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21136,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s261, c_n1) | (~node2(s261))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21135, 21134])).
% 16.94/11.76 tff(21137,plain,
% 16.94/11.76 (~node2(s261)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21136, 787, 21133])).
% 16.94/11.76 tff(21138,plain,
% 16.94/11.76 (((~![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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21139,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s261, c_t2) | (~node1(s261)))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21140,plain,
% 16.94/11.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s261, c_t2) | (~node1(s261))),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21139, 21138])).
% 16.94/11.76 tff(21141,plain,
% 16.94/11.76 (~node1(s261)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21140, 195, 21058])).
% 16.94/11.76 tff(21142,plain,
% 16.94/11.76 (((~![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))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21143,plain,
% 16.94/11.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s261, s262)) | node7(s261, s262))),
% 16.94/11.76 inference(quant_inst,[status(thm)],[])).
% 16.94/11.76 tff(21144,plain,
% 16.94/11.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s261, s262)) | node7(s261, s262)),
% 16.94/11.76 inference(modus_ponens,[status(thm)],[21143, 21142])).
% 16.94/11.76 tff(21145,plain,
% 16.94/11.76 (node7(s261, s262)),
% 16.94/11.76 inference(unit_resolution,[status(thm)],[21144, 206, 21069])).
% 16.94/11.76 tff(21146,plain,
% 16.94/11.76 (((~![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(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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21147,plain,
% 16.94/11.76 (((~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)))),
% 16.94/11.76 inference(rewrite,[status(thm)],[])).
% 16.94/11.76 tff(21148,plain,
% 16.94/11.76 (((~![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(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))))),
% 16.94/11.77 inference(monotonicity,[status(thm)],[21147])).
% 16.94/11.77 tff(21149,plain,
% 16.94/11.77 (((~![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(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)))),
% 16.94/11.77 inference(transitivity,[status(thm)],[21148, 21146])).
% 16.94/11.77 tff(21150,plain,
% 16.94/11.77 ((~![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(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))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21151,plain,
% 16.94/11.77 ((~![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(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))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21150, 21149])).
% 16.94/11.77 tff(21152,plain,
% 16.94/11.77 ((~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)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21151, 892, 21145])).
% 16.94/11.77 tff(21153,plain,
% 16.94/11.77 (m_main_v_state1(s262, c_c1)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21152, 21141, 21054, 21018, 21137, 21126])).
% 16.94/11.77 tff(21154,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21155,plain,
% 16.94/11.77 ((~![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)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21156,plain,
% 16.94/11.77 ((~![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))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21155, 21154])).
% 16.94/11.77 tff(21157,plain,
% 16.94/11.77 (~m_main_v_state1(s262, c_n1)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21156, 454, 21153])).
% 16.94/11.77 tff(21158,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21159,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s262, c_n1) | (~node11(s262)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21160,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s262, c_n1) | (~node11(s262))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21159, 21158])).
% 16.94/11.77 tff(21161,plain,
% 16.94/11.77 (~node11(s262)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21160, 238, 21157])).
% 16.94/11.77 tff(21162,plain,
% 16.94/11.77 (succ(s262, s263) <=> succ(s262, s263)),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21163,axiom,(succ(s262, s263)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound263')).
% 16.94/11.77 tff(21164,plain,
% 16.94/11.77 (succ(s262, s263)),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21163, 21162])).
% 16.94/11.77 tff(21165,plain,
% 16.94/11.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21166,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21167,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263)),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21166, 21165])).
% 16.94/11.77 tff(21168,plain,
% 16.94/11.77 (trans(s262, s263)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21167, 21164, 32])).
% 16.94/11.77 tff(21169,plain,
% 16.94/11.77 (((~![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))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21170,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s262, s263)) | node14(s262, s263))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21171,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s262, s263)) | node14(s262, s263)),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21170, 21169])).
% 16.94/11.77 tff(21172,plain,
% 16.94/11.77 (node14(s262, s263)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21171, 46, 21168])).
% 16.94/11.77 tff(21173,plain,
% 16.94/11.77 (((~![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(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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21174,plain,
% 16.94/11.77 ((~![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(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263) | (~node14(s262, s263)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21175,plain,
% 16.94/11.77 ((~![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(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263) | (~node14(s262, s263))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 16.94/11.77 tff(21176,plain,
% 16.94/11.77 (m_main_v_state2(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21175, 296, 21172])).
% 16.94/11.77 tff(21177,plain,
% 16.94/11.77 (node13(s262, s263)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21176, 21161, 21118, 21114, 21110, 21106, 21089])).
% 16.94/11.77 tff(21178,plain,
% 16.94/11.77 (((~![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(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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21179,plain,
% 16.94/11.77 (((~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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21180,plain,
% 16.94/11.77 (((~![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))))),
% 16.94/11.77 inference(monotonicity,[status(thm)],[21179])).
% 16.94/11.77 tff(21181,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(transitivity,[status(thm)],[21180, 21178])).
% 16.94/11.77 tff(21182,plain,
% 16.94/11.77 ((~![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)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21183,plain,
% 16.94/11.77 ((~![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(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21182, 21181])).
% 16.94/11.77 tff(21184,plain,
% 16.94/11.77 (~m_main_v_state2(s263, c_n2)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21183, 311, 21102, 21177])).
% 16.94/11.77 tff(21185,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21186,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s263, c_n2) | (~node9(s263)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21187,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s263, c_n2) | (~node9(s263))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21186, 21185])).
% 16.94/11.77 tff(21188,plain,
% 16.94/11.77 (~node9(s263)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21187, 88, 21184])).
% 16.94/11.77 tff(21189,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21190,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s263, c_n2) | (~node10(s263)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21191,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s263, c_n2) | (~node10(s263))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21190, 21189])).
% 16.94/11.77 tff(21192,plain,
% 16.94/11.77 (~node10(s263)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21191, 249, 21184])).
% 16.94/11.77 tff(21193,plain,
% 16.94/11.77 (((~![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(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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21194,plain,
% 16.94/11.77 (((~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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21195,plain,
% 16.94/11.77 (((~![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))))),
% 16.94/11.77 inference(monotonicity,[status(thm)],[21194])).
% 16.94/11.77 tff(21196,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(transitivity,[status(thm)],[21195, 21193])).
% 16.94/11.77 tff(21197,plain,
% 16.94/11.77 ((~![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))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21198,plain,
% 16.94/11.77 ((~![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(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21197, 21196])).
% 16.94/11.77 tff(21199,plain,
% 16.94/11.77 (m_main_v_state2(s263, c_t2)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21198, 518, 21098, 21177])).
% 16.94/11.77 tff(21200,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21201,plain,
% 16.94/11.77 ((~![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)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21202,plain,
% 16.94/11.77 ((~![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))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21201, 21200])).
% 16.94/11.77 tff(21203,plain,
% 16.94/11.77 (~m_main_v_state1(s262, c_t1)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21202, 539, 21153])).
% 16.94/11.77 tff(21204,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21205,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s262, c_t1) | (~node5(s262)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21206,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s262, c_t1) | (~node5(s262))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21205, 21204])).
% 16.94/11.77 tff(21207,plain,
% 16.94/11.77 (~node5(s262)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21206, 550, 21203])).
% 16.94/11.77 tff(21208,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21209,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s262, c_n2) | (~node4(s262)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21210,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s262, c_n2) | (~node4(s262))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21209, 21208])).
% 16.94/11.77 tff(21211,plain,
% 16.94/11.77 (~node4(s262)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21210, 388, 21102])).
% 16.94/11.77 tff(21212,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21213,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s262, c_c2) | (~node3(s262)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21214,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s262, c_c2) | (~node3(s262))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21213, 21212])).
% 16.94/11.77 tff(21215,plain,
% 16.94/11.77 (~node3(s262)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21214, 399, 21118])).
% 16.94/11.77 tff(21216,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21217,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s262, c_n2) | (~node2(s262)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21218,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s262, c_n2) | (~node2(s262))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21217, 21216])).
% 16.94/11.77 tff(21219,plain,
% 16.94/11.77 (~node2(s262)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21218, 410, 21102])).
% 16.94/11.77 tff(21220,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21221,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s262, c_n1) | (~node1(s262)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21222,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s262, c_n1) | (~node1(s262))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21221, 21220])).
% 16.94/11.77 tff(21223,plain,
% 16.94/11.77 (~node1(s262)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21222, 421, 21157])).
% 16.94/11.77 tff(21224,plain,
% 16.94/11.77 (((~![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))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21225,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s262, s263)) | node7(s262, s263))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21226,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s262, s263)) | node7(s262, s263)),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21225, 21224])).
% 16.94/11.77 tff(21227,plain,
% 16.94/11.77 (node7(s262, s263)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21226, 206, 21168])).
% 16.94/11.77 tff(21228,plain,
% 16.94/11.77 (((~![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(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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21229,plain,
% 16.94/11.77 (((~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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21230,plain,
% 16.94/11.77 (((~![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(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))))),
% 16.94/11.77 inference(monotonicity,[status(thm)],[21229])).
% 16.94/11.77 tff(21231,plain,
% 16.94/11.77 (((~![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(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)))),
% 16.94/11.77 inference(transitivity,[status(thm)],[21230, 21228])).
% 16.94/11.77 tff(21232,plain,
% 16.94/11.77 ((~![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(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)) | m_main_v_state1(s263, c_n1))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21233,plain,
% 16.94/11.77 ((~![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(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21232, 21231])).
% 16.94/11.77 tff(21234,plain,
% 16.94/11.77 (m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21233, 584, 21227])).
% 16.94/11.77 tff(21235,plain,
% 16.94/11.77 (m_main_v_state1(s263, c_n1)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21234, 21223, 21153, 21219, 21215, 21211, 21207])).
% 16.94/11.77 tff(21236,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21237,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s263, c_n2) | (~node8(s263)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21238,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s263, c_n2) | (~node8(s263))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21237, 21236])).
% 16.94/11.77 tff(21239,plain,
% 16.94/11.77 (~node8(s263)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21238, 271, 21184])).
% 16.94/11.77 tff(21240,plain,
% 16.94/11.77 (succ(s263, s264) <=> succ(s263, s264)),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21241,axiom,(succ(s263, s264)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound264')).
% 16.94/11.77 tff(21242,plain,
% 16.94/11.77 (succ(s263, s264)),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21241, 21240])).
% 16.94/11.77 tff(21243,plain,
% 16.94/11.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21244,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21245,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264)),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21244, 21243])).
% 16.94/11.77 tff(21246,plain,
% 16.94/11.77 (trans(s263, s264)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21245, 21242, 32])).
% 16.94/11.77 tff(21247,plain,
% 16.94/11.77 (((~![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))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21248,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s263, s264)) | node14(s263, s264))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21249,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s263, s264)) | node14(s263, s264)),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21248, 21247])).
% 16.94/11.77 tff(21250,plain,
% 16.94/11.77 (node14(s263, s264)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21249, 46, 21246])).
% 16.94/11.77 tff(21251,plain,
% 16.94/11.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21252,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21253,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21252, 21251])).
% 16.94/11.77 tff(21254,plain,
% 16.94/11.77 ((~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)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21253, 617, 21250])).
% 16.94/11.77 tff(21255,plain,
% 16.94/11.77 (m_main_v_state2(s264, c_c2)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21254, 21239, 21235, 21199, 21192, 21188])).
% 16.94/11.77 tff(21256,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21257,plain,
% 16.94/11.77 ((~![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)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21258,plain,
% 16.94/11.77 ((~![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))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21257, 21256])).
% 16.94/11.77 tff(21259,plain,
% 16.94/11.77 (~m_main_v_state2(s264, c_t2)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21258, 260, 21255])).
% 16.94/11.77 tff(21260,plain,
% 16.94/11.77 (((~![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)))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21261,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s264, c_t2) | (~node12(s264)))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21262,plain,
% 16.94/11.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s264, c_t2) | (~node12(s264))),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21261, 21260])).
% 16.94/11.77 tff(21263,plain,
% 16.94/11.77 (~node12(s264)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21262, 633, 21259])).
% 16.94/11.77 tff(21264,plain,
% 16.94/11.77 (((~![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))),
% 16.94/11.77 inference(rewrite,[status(thm)],[])).
% 16.94/11.77 tff(21265,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s263, s264)) | node7(s263, s264))),
% 16.94/11.77 inference(quant_inst,[status(thm)],[])).
% 16.94/11.77 tff(21266,plain,
% 16.94/11.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s263, s264)) | node7(s263, s264)),
% 16.94/11.77 inference(modus_ponens,[status(thm)],[21265, 21264])).
% 16.94/11.77 tff(21267,plain,
% 16.94/11.77 (node7(s263, s264)),
% 16.94/11.77 inference(unit_resolution,[status(thm)],[21266, 206, 21246])).
% 16.94/11.77 tff(21268,plain,
% 16.94/11.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21269,plain,
% 16.94/11.78 ((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node7(s263, s264)) | m_main_v_state1(s264, c_t1))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21270,plain,
% 16.94/11.78 ((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node7(s263, s264)) | m_main_v_state1(s264, c_t1)),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21269, 21268])).
% 16.94/11.78 tff(21271,plain,
% 16.94/11.78 ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | m_main_v_state1(s264, c_t1)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21270, 651, 21267])).
% 16.94/11.78 tff(21272,plain,
% 16.94/11.78 (m_main_v_state1(s264, c_t1)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21271, 21199, 21235])).
% 16.94/11.78 tff(21273,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21274,plain,
% 16.94/11.78 ((~![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)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21275,plain,
% 16.94/11.78 ((~![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))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21274, 21273])).
% 16.94/11.78 tff(21276,plain,
% 16.94/11.78 (~m_main_v_state1(s264, c_n1)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21275, 10, 21272])).
% 16.94/11.78 tff(21277,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21278,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s264, c_n1) | (~node11(s264)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21279,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s264, c_n1) | (~node11(s264))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21278, 21277])).
% 16.94/11.78 tff(21280,plain,
% 16.94/11.78 (~node11(s264)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21279, 238, 21276])).
% 16.94/11.78 tff(21281,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21282,plain,
% 16.94/11.78 ((~![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)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21283,plain,
% 16.94/11.78 ((~![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))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21282, 21281])).
% 16.94/11.78 tff(21284,plain,
% 16.94/11.78 (~m_main_v_state1(s264, c_c1)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21283, 539, 21272])).
% 16.94/11.78 tff(21285,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21286,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s264, c_c1) | (~node10(s264)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21287,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s264, c_c1) | (~node10(s264))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21286, 21285])).
% 16.94/11.78 tff(21288,plain,
% 16.94/11.78 (~node10(s264)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21287, 675, 21284])).
% 16.94/11.78 tff(21289,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21290,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s264, c_n1) | (~node9(s264)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21291,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s264, c_n1) | (~node9(s264))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21290, 21289])).
% 16.94/11.78 tff(21292,plain,
% 16.94/11.78 (~node9(s264)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21291, 686, 21276])).
% 16.94/11.78 tff(21293,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21294,plain,
% 16.94/11.78 ((~![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)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21295,plain,
% 16.94/11.78 ((~![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))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 16.94/11.78 tff(21296,plain,
% 16.94/11.78 (~m_main_v_state2(s264, c_n2)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21295, 697, 21255])).
% 16.94/11.78 tff(21297,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21298,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s264, c_n2) | (~node8(s264)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21299,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s264, c_n2) | (~node8(s264))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21298, 21297])).
% 16.94/11.78 tff(21300,plain,
% 16.94/11.78 (~node8(s264)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21299, 271, 21296])).
% 16.94/11.78 tff(21301,plain,
% 16.94/11.78 (succ(s264, s265) <=> succ(s264, s265)),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21302,axiom,(succ(s264, s265)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound265')).
% 16.94/11.78 tff(21303,plain,
% 16.94/11.78 (succ(s264, s265)),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21302, 21301])).
% 16.94/11.78 tff(21304,plain,
% 16.94/11.78 (((~![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))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21305,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21306,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265)),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21305, 21304])).
% 16.94/11.78 tff(21307,plain,
% 16.94/11.78 (trans(s264, s265)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21306, 21303, 32])).
% 16.94/11.78 tff(21308,plain,
% 16.94/11.78 (((~![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))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21309,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s264, s265)) | node14(s264, s265))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21310,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s264, s265)) | node14(s264, s265)),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21309, 21308])).
% 16.94/11.78 tff(21311,plain,
% 16.94/11.78 (node14(s264, s265)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21310, 46, 21307])).
% 16.94/11.78 tff(21312,plain,
% 16.94/11.78 (((~![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(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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21313,plain,
% 16.94/11.78 (((~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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21314,plain,
% 16.94/11.78 (((~![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(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))))),
% 16.94/11.78 inference(monotonicity,[status(thm)],[21313])).
% 16.94/11.78 tff(21315,plain,
% 16.94/11.78 (((~![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(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)))),
% 16.94/11.78 inference(transitivity,[status(thm)],[21314, 21312])).
% 16.94/11.78 tff(21316,plain,
% 16.94/11.78 ((~![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(s264, c_c2)) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | m_main_v_state2(s265, c_n2))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21317,plain,
% 16.94/11.78 ((~![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(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21316, 21315])).
% 16.94/11.78 tff(21318,plain,
% 16.94/11.78 (m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~m_main_v_state2(s264, c_c2))),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21317, 726, 21311])).
% 16.94/11.78 tff(21319,plain,
% 16.94/11.78 (m_main_v_state2(s265, c_n2)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21318, 21300, 21255, 21292, 21288, 21280, 21263])).
% 16.94/11.78 tff(21320,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21321,plain,
% 16.94/11.78 ((~![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)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21322,plain,
% 16.94/11.78 ((~![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))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21321, 21320])).
% 16.94/11.78 tff(21323,plain,
% 16.94/11.78 (~m_main_v_state2(s265, c_c2)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21322, 697, 21319])).
% 16.94/11.78 tff(21324,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21325,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s265, c_c2) | (~node3(s265)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21326,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s265, c_c2) | (~node3(s265))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21325, 21324])).
% 16.94/11.78 tff(21327,plain,
% 16.94/11.78 (~node3(s265)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21326, 399, 21323])).
% 16.94/11.78 tff(21328,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21329,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s264, c_n1) | (~node1(s264)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21330,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s264, c_n1) | (~node1(s264))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21329, 21328])).
% 16.94/11.78 tff(21331,plain,
% 16.94/11.78 (~node1(s264)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21330, 421, 21276])).
% 16.94/11.78 tff(21332,plain,
% 16.94/11.78 (((~![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))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21333,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s263, s264)) | node18(s263, s264))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21334,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s263, s264)) | node18(s263, s264)),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21333, 21332])).
% 16.94/11.78 tff(21335,plain,
% 16.94/11.78 (node18(s263, s264)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21334, 125, 21246])).
% 16.94/11.78 tff(21336,plain,
% 16.94/11.78 (((~![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(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))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21337,plain,
% 16.94/11.78 ((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node18(s263, s264)) | m_main_v_turn(s264, c_2))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21338,plain,
% 16.94/11.78 ((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node18(s263, s264)) | m_main_v_turn(s264, c_2)),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21337, 21336])).
% 16.94/11.78 tff(21339,plain,
% 16.94/11.78 ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | m_main_v_turn(s264, c_2)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21338, 760, 21335])).
% 16.94/11.78 tff(21340,plain,
% 16.94/11.78 (m_main_v_turn(s264, c_2)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21339, 21199, 21235])).
% 16.94/11.78 tff(21341,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21342,plain,
% 16.94/11.78 ((~![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)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21343,plain,
% 16.94/11.78 ((~![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))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21342, 21341])).
% 16.94/11.78 tff(21344,plain,
% 16.94/11.78 (~m_main_v_turn(s264, c_1)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21343, 156, 21340])).
% 16.94/11.78 tff(21345,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21346,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s264, c_1) | (~node5(s264)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21347,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s264, c_1) | (~node5(s264))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21346, 21345])).
% 16.94/11.78 tff(21348,plain,
% 16.94/11.78 (~node5(s264)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21347, 776, 21344])).
% 16.94/11.78 tff(21349,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21350,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s264, c_n1) | (~node2(s264)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21351,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s264, c_n1) | (~node2(s264))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21350, 21349])).
% 16.94/11.78 tff(21352,plain,
% 16.94/11.78 (~node2(s264)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21351, 787, 21276])).
% 16.94/11.78 tff(21353,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21354,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s264, c_n1) | (~node3(s264)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21355,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s264, c_n1) | (~node3(s264))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21354, 21353])).
% 16.94/11.78 tff(21356,plain,
% 16.94/11.78 (~node3(s264)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21355, 798, 21276])).
% 16.94/11.78 tff(21357,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21358,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s264, c_n2) | (~node4(s264)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21359,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s264, c_n2) | (~node4(s264))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21358, 21357])).
% 16.94/11.78 tff(21360,plain,
% 16.94/11.78 (~node4(s264)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21359, 388, 21296])).
% 16.94/11.78 tff(21361,plain,
% 16.94/11.78 (((~![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))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21362,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s264, s265)) | node7(s264, s265))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21363,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s264, s265)) | node7(s264, s265)),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21362, 21361])).
% 16.94/11.78 tff(21364,plain,
% 16.94/11.78 (node7(s264, s265)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21363, 206, 21307])).
% 16.94/11.78 tff(21365,plain,
% 16.94/11.78 (((~![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(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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21366,plain,
% 16.94/11.78 ((~![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(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265) | (~node7(s264, s265)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21367,plain,
% 16.94/11.78 ((~![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(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265) | (~node7(s264, s265))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21366, 21365])).
% 16.94/11.78 tff(21368,plain,
% 16.94/11.78 (m_main_v_state1(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21367, 820, 21364])).
% 16.94/11.78 tff(21369,plain,
% 16.94/11.78 (node6(s264, s265)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21368, 21360, 21284, 21356, 21352, 21348, 21331])).
% 16.94/11.78 tff(21370,plain,
% 16.94/11.78 (((~![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(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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21371,plain,
% 16.94/11.78 (((~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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21372,plain,
% 16.94/11.78 (((~![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))))),
% 16.94/11.78 inference(monotonicity,[status(thm)],[21371])).
% 16.94/11.78 tff(21373,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(transitivity,[status(thm)],[21372, 21370])).
% 16.94/11.78 tff(21374,plain,
% 16.94/11.78 ((~![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)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21375,plain,
% 16.94/11.78 ((~![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(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21374, 21373])).
% 16.94/11.78 tff(21376,plain,
% 16.94/11.78 (~m_main_v_state1(s265, c_n1)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21375, 835, 21276, 21369])).
% 16.94/11.78 tff(21377,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21378,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s265, c_n1) | (~node2(s265)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21379,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s265, c_n1) | (~node2(s265))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21378, 21377])).
% 16.94/11.78 tff(21380,plain,
% 16.94/11.78 (~node2(s265)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21379, 787, 21376])).
% 16.94/11.78 tff(21381,plain,
% 16.94/11.78 (((~![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(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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21382,plain,
% 16.94/11.78 (((~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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21383,plain,
% 16.94/11.78 (((~![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))))),
% 16.94/11.78 inference(monotonicity,[status(thm)],[21382])).
% 16.94/11.78 tff(21384,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(transitivity,[status(thm)],[21383, 21381])).
% 16.94/11.78 tff(21385,plain,
% 16.94/11.78 ((~![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))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21386,plain,
% 16.94/11.78 ((~![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(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21385, 21384])).
% 16.94/11.78 tff(21387,plain,
% 16.94/11.78 (m_main_v_state1(s265, c_t1)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21386, 856, 21272, 21369])).
% 16.94/11.78 tff(21388,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21389,plain,
% 16.94/11.78 ((~![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)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21390,plain,
% 16.94/11.78 ((~![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))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21389, 21388])).
% 16.94/11.78 tff(21391,plain,
% 16.94/11.78 (~m_main_v_state2(s265, c_t2)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21390, 77, 21319])).
% 16.94/11.78 tff(21392,plain,
% 16.94/11.78 (((~![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)))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21393,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s265, c_t2) | (~node1(s265)))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21394,plain,
% 16.94/11.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s265, c_t2) | (~node1(s265))),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21393, 21392])).
% 16.94/11.78 tff(21395,plain,
% 16.94/11.78 (~node1(s265)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21394, 195, 21391])).
% 16.94/11.78 tff(21396,plain,
% 16.94/11.78 (succ(s265, s266) <=> succ(s265, s266)),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21397,axiom,(succ(s265, s266)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound266')).
% 16.94/11.78 tff(21398,plain,
% 16.94/11.78 (succ(s265, s266)),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21397, 21396])).
% 16.94/11.78 tff(21399,plain,
% 16.94/11.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21400,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21401,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266)),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21400, 21399])).
% 16.94/11.78 tff(21402,plain,
% 16.94/11.78 (trans(s265, s266)),
% 16.94/11.78 inference(unit_resolution,[status(thm)],[21401, 21398, 32])).
% 16.94/11.78 tff(21403,plain,
% 16.94/11.78 (((~![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))),
% 16.94/11.78 inference(rewrite,[status(thm)],[])).
% 16.94/11.78 tff(21404,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s265, s266)) | node7(s265, s266))),
% 16.94/11.78 inference(quant_inst,[status(thm)],[])).
% 16.94/11.78 tff(21405,plain,
% 16.94/11.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s265, s266)) | node7(s265, s266)),
% 16.94/11.78 inference(modus_ponens,[status(thm)],[21404, 21403])).
% 16.94/11.78 tff(21406,plain,
% 16.94/11.78 (node7(s265, s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21405, 206, 21402])).
% 16.94/11.79 tff(21407,plain,
% 16.94/11.79 (((~![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(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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21408,plain,
% 16.94/11.79 (((~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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21409,plain,
% 16.94/11.79 (((~![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(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))))),
% 16.94/11.79 inference(monotonicity,[status(thm)],[21408])).
% 16.94/11.79 tff(21410,plain,
% 16.94/11.79 (((~![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(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)))),
% 16.94/11.79 inference(transitivity,[status(thm)],[21409, 21407])).
% 16.94/11.79 tff(21411,plain,
% 16.94/11.79 ((~![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(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))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21412,plain,
% 16.94/11.79 ((~![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(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))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21411, 21410])).
% 16.94/11.79 tff(21413,plain,
% 16.94/11.79 ((~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)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21412, 892, 21406])).
% 16.94/11.79 tff(21414,plain,
% 16.94/11.79 (m_main_v_state1(s266, c_c1)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21413, 21395, 21319, 21387, 21380, 21327])).
% 16.94/11.79 tff(21415,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21416,plain,
% 16.94/11.79 ((~![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)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21417,plain,
% 16.94/11.79 ((~![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))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21416, 21415])).
% 16.94/11.79 tff(21418,plain,
% 16.94/11.79 (~m_main_v_state1(s266, c_t1)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21417, 539, 21414])).
% 16.94/11.79 tff(21419,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21420,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s266, c_t1) | (~node5(s266)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21421,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s266, c_t1) | (~node5(s266))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21420, 21419])).
% 16.94/11.79 tff(21422,plain,
% 16.94/11.79 (~node5(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21421, 550, 21418])).
% 16.94/11.79 tff(21423,plain,
% 16.94/11.79 (((~![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))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21424,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s265, s266)) | node14(s265, s266))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21425,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s265, s266)) | node14(s265, s266)),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21424, 21423])).
% 16.94/11.79 tff(21426,plain,
% 16.94/11.79 (node14(s265, s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21425, 46, 21402])).
% 16.94/11.79 tff(21427,plain,
% 16.94/11.79 (((~![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(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))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21428,plain,
% 16.94/11.79 ((~![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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | (~node14(s265, s266)) | m_main_v_state2(s266, c_t2))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21429,plain,
% 16.94/11.79 ((~![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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | (~node14(s265, s266)) | m_main_v_state2(s266, c_t2)),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21428, 21427])).
% 16.94/11.79 tff(21430,plain,
% 16.94/11.79 ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state2(s266, c_t2)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21429, 922, 21426])).
% 16.94/11.79 tff(21431,plain,
% 16.94/11.79 (m_main_v_state2(s266, c_t2)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21430, 21387, 21319])).
% 16.94/11.79 tff(21432,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21433,plain,
% 16.94/11.79 ((~![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)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21434,plain,
% 16.94/11.79 ((~![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))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21433, 21432])).
% 16.94/11.79 tff(21435,plain,
% 16.94/11.79 (~m_main_v_state2(s266, c_n2)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21434, 77, 21431])).
% 16.94/11.79 tff(21436,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21437,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s266, c_n2) | (~node4(s266)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21438,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s266, c_n2) | (~node4(s266))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21437, 21436])).
% 16.94/11.79 tff(21439,plain,
% 16.94/11.79 (~node4(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21438, 388, 21435])).
% 16.94/11.79 tff(21440,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21441,plain,
% 16.94/11.79 ((~![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)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21442,plain,
% 16.94/11.79 ((~![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))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21441, 21440])).
% 16.94/11.79 tff(21443,plain,
% 16.94/11.79 (~m_main_v_state2(s266, c_c2)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21442, 260, 21431])).
% 16.94/11.79 tff(21444,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21445,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s266, c_c2) | (~node3(s266)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21446,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s266, c_c2) | (~node3(s266))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21445, 21444])).
% 16.94/11.79 tff(21447,plain,
% 16.94/11.79 (~node3(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21446, 399, 21443])).
% 16.94/11.79 tff(21448,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21449,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s266, c_n2) | (~node2(s266)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21450,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s266, c_n2) | (~node2(s266))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21449, 21448])).
% 16.94/11.79 tff(21451,plain,
% 16.94/11.79 (~node2(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21450, 410, 21435])).
% 16.94/11.79 tff(21452,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21453,plain,
% 16.94/11.79 ((~![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)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21454,plain,
% 16.94/11.79 ((~![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))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21453, 21452])).
% 16.94/11.79 tff(21455,plain,
% 16.94/11.79 (~m_main_v_state1(s266, c_n1)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21454, 454, 21414])).
% 16.94/11.79 tff(21456,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21457,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s266, c_n1) | (~node1(s266)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21458,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s266, c_n1) | (~node1(s266))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21457, 21456])).
% 16.94/11.79 tff(21459,plain,
% 16.94/11.79 (~node1(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21458, 421, 21455])).
% 16.94/11.79 tff(21460,plain,
% 16.94/11.79 (succ(s266, s267) <=> succ(s266, s267)),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21461,axiom,(succ(s266, s267)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound267')).
% 16.94/11.79 tff(21462,plain,
% 16.94/11.79 (succ(s266, s267)),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21461, 21460])).
% 16.94/11.79 tff(21463,plain,
% 16.94/11.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21464,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21465,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267)),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21464, 21463])).
% 16.94/11.79 tff(21466,plain,
% 16.94/11.79 (trans(s266, s267)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21465, 21462, 32])).
% 16.94/11.79 tff(21467,plain,
% 16.94/11.79 (((~![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))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21468,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s266, s267)) | node7(s266, s267))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21469,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s266, s267)) | node7(s266, s267)),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21468, 21467])).
% 16.94/11.79 tff(21470,plain,
% 16.94/11.79 (node7(s266, s267)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21469, 206, 21466])).
% 16.94/11.79 tff(21471,plain,
% 16.94/11.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21472,plain,
% 16.94/11.79 (((~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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21473,plain,
% 16.94/11.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 16.94/11.79 inference(monotonicity,[status(thm)],[21472])).
% 16.94/11.79 tff(21474,plain,
% 16.94/11.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 16.94/11.79 inference(transitivity,[status(thm)],[21473, 21471])).
% 16.94/11.79 tff(21475,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)) | m_main_v_state1(s267, c_n1))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21476,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21475, 21474])).
% 16.94/11.79 tff(21477,plain,
% 16.94/11.79 (m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21476, 584, 21470])).
% 16.94/11.79 tff(21478,plain,
% 16.94/11.79 (m_main_v_state1(s267, c_n1)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21477, 21459, 21414, 21451, 21447, 21439, 21422])).
% 16.94/11.79 tff(21479,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21480,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s265, c_t2) | (~node15(s265)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21481,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s265, c_t2) | (~node15(s265))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21480, 21479])).
% 16.94/11.79 tff(21482,plain,
% 16.94/11.79 (~node15(s265)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21481, 103, 21391])).
% 16.94/11.79 tff(21483,plain,
% 16.94/11.79 (((~![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))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21484,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s265, s266)) | node18(s265, s266))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21485,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s265, s266)) | node18(s265, s266)),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21484, 21483])).
% 16.94/11.79 tff(21486,plain,
% 16.94/11.79 (node18(s265, s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21485, 125, 21402])).
% 16.94/11.79 tff(21487,plain,
% 16.94/11.79 (((~![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(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))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21488,plain,
% 16.94/11.79 (((~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))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21489,plain,
% 16.94/11.79 (((~![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(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)))),
% 16.94/11.79 inference(monotonicity,[status(thm)],[21488])).
% 16.94/11.79 tff(21490,plain,
% 16.94/11.79 (((~![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(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))),
% 16.94/11.79 inference(transitivity,[status(thm)],[21489, 21487])).
% 16.94/11.79 tff(21491,plain,
% 16.94/11.79 ((~![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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node15(s265) | (~node18(s265, s266)) | m_main_v_turn(s266, c_1))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21492,plain,
% 16.94/11.79 ((~![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(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)),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21491, 21490])).
% 16.94/11.79 tff(21493,plain,
% 16.94/11.79 (node15(s265) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21492, 992, 21486])).
% 16.94/11.79 tff(21494,plain,
% 16.94/11.79 (m_main_v_turn(s266, c_1)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21493, 21482, 21319, 21387])).
% 16.94/11.79 tff(21495,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21496,plain,
% 16.94/11.79 ((~![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)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21497,plain,
% 16.94/11.79 ((~![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))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21496, 21495])).
% 16.94/11.79 tff(21498,plain,
% 16.94/11.79 (~m_main_v_turn(s266, c_2)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21497, 156, 21494])).
% 16.94/11.79 tff(21499,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21500,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s266, c_2) | (~node12(s266)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21501,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s266, c_2) | (~node12(s266))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21500, 21499])).
% 16.94/11.79 tff(21502,plain,
% 16.94/11.79 (~node12(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21501, 184, 21498])).
% 16.94/11.79 tff(21503,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21504,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s266, c_n2) | (~node8(s266)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21505,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s266, c_n2) | (~node8(s266))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21504, 21503])).
% 16.94/11.79 tff(21506,plain,
% 16.94/11.79 (~node8(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21505, 271, 21435])).
% 16.94/11.79 tff(21507,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21508,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s266, c_n2) | (~node9(s266)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21509,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s266, c_n2) | (~node9(s266))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21508, 21507])).
% 16.94/11.79 tff(21510,plain,
% 16.94/11.79 (~node9(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21509, 88, 21435])).
% 16.94/11.79 tff(21511,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21512,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s266, c_n2) | (~node10(s266)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21513,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s266, c_n2) | (~node10(s266))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21512, 21511])).
% 16.94/11.79 tff(21514,plain,
% 16.94/11.79 (~node10(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21513, 249, 21435])).
% 16.94/11.79 tff(21515,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21516,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s266, c_n1) | (~node11(s266)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21517,plain,
% 16.94/11.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s266, c_n1) | (~node11(s266))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21516, 21515])).
% 16.94/11.79 tff(21518,plain,
% 16.94/11.79 (~node11(s266)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21517, 238, 21455])).
% 16.94/11.79 tff(21519,plain,
% 16.94/11.79 (((~![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))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21520,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s266, s267)) | node14(s266, s267))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21521,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s266, s267)) | node14(s266, s267)),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21520, 21519])).
% 16.94/11.79 tff(21522,plain,
% 16.94/11.79 (node14(s266, s267)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21521, 46, 21466])).
% 16.94/11.79 tff(21523,plain,
% 16.94/11.79 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21524,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21525,plain,
% 16.94/11.79 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 16.94/11.79 tff(21526,plain,
% 16.94/11.79 (m_main_v_state2(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21525, 296, 21522])).
% 16.94/11.79 tff(21527,plain,
% 16.94/11.79 (node13(s266, s267)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21526, 21518, 21443, 21514, 21510, 21506, 21502])).
% 16.94/11.79 tff(21528,plain,
% 16.94/11.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21529,plain,
% 16.94/11.79 (((~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)))),
% 16.94/11.79 inference(rewrite,[status(thm)],[])).
% 16.94/11.79 tff(21530,plain,
% 16.94/11.79 (((~![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))))),
% 16.94/11.79 inference(monotonicity,[status(thm)],[21529])).
% 16.94/11.79 tff(21531,plain,
% 16.94/11.79 (((~![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)))),
% 16.94/11.79 inference(transitivity,[status(thm)],[21530, 21528])).
% 16.94/11.79 tff(21532,plain,
% 16.94/11.79 ((~![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))),
% 16.94/11.79 inference(quant_inst,[status(thm)],[])).
% 16.94/11.79 tff(21533,plain,
% 16.94/11.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267))),
% 16.94/11.79 inference(modus_ponens,[status(thm)],[21532, 21531])).
% 16.94/11.79 tff(21534,plain,
% 16.94/11.79 (m_main_v_state2(s267, c_t2)),
% 16.94/11.79 inference(unit_resolution,[status(thm)],[21533, 518, 21431, 21527])).
% 16.94/11.79 tff(21535,plain,
% 16.94/11.79 (succ(s267, s268) <=> succ(s267, s268)),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21536,axiom,(succ(s267, s268)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound268')).
% 16.94/11.80 tff(21537,plain,
% 16.94/11.80 (succ(s267, s268)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21536, 21535])).
% 16.94/11.80 tff(21538,plain,
% 16.94/11.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21539,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21540,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21539, 21538])).
% 16.94/11.80 tff(21541,plain,
% 16.94/11.80 (trans(s267, s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21540, 21537, 32])).
% 16.94/11.80 tff(21542,plain,
% 16.94/11.80 (((~![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))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21543,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s267, s268)) | node7(s267, s268))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21544,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s267, s268)) | node7(s267, s268)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21543, 21542])).
% 16.94/11.80 tff(21545,plain,
% 16.94/11.80 (node7(s267, s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21544, 206, 21541])).
% 16.94/11.80 tff(21546,plain,
% 16.94/11.80 (((~![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(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))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21547,plain,
% 16.94/11.80 ((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node7(s267, s268)) | m_main_v_state1(s268, c_t1))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21548,plain,
% 16.94/11.80 ((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node7(s267, s268)) | m_main_v_state1(s268, c_t1)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21547, 21546])).
% 16.94/11.80 tff(21549,plain,
% 16.94/11.80 ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | m_main_v_state1(s268, c_t1)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21548, 651, 21545])).
% 16.94/11.80 tff(21550,plain,
% 16.94/11.80 (m_main_v_state1(s268, c_t1)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21549, 21534, 21478])).
% 16.94/11.80 tff(21551,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21552,plain,
% 16.94/11.80 ((~![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)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21553,plain,
% 16.94/11.80 ((~![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))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21552, 21551])).
% 16.94/11.80 tff(21554,plain,
% 16.94/11.80 (~m_main_v_state1(s268, c_n1)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21553, 10, 21550])).
% 16.94/11.80 tff(21555,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21556,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s268, c_n1) | (~node1(s268)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21557,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s268, c_n1) | (~node1(s268))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21556, 21555])).
% 16.94/11.80 tff(21558,plain,
% 16.94/11.80 (~node1(s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21557, 421, 21554])).
% 16.94/11.80 tff(21559,plain,
% 16.94/11.80 (((~![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))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21560,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s267, s268)) | node18(s267, s268))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21561,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s267, s268)) | node18(s267, s268)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21560, 21559])).
% 16.94/11.80 tff(21562,plain,
% 16.94/11.80 (node18(s267, s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21561, 125, 21541])).
% 16.94/11.80 tff(21563,plain,
% 16.94/11.80 (((~![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(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))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21564,plain,
% 16.94/11.80 ((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node18(s267, s268)) | m_main_v_turn(s268, c_2))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21565,plain,
% 16.94/11.80 ((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node18(s267, s268)) | m_main_v_turn(s268, c_2)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21564, 21563])).
% 16.94/11.80 tff(21566,plain,
% 16.94/11.80 ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | m_main_v_turn(s268, c_2)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21565, 760, 21562])).
% 16.94/11.80 tff(21567,plain,
% 16.94/11.80 (m_main_v_turn(s268, c_2)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21566, 21534, 21478])).
% 16.94/11.80 tff(21568,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21569,plain,
% 16.94/11.80 ((~![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)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21570,plain,
% 16.94/11.80 ((~![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))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21569, 21568])).
% 16.94/11.80 tff(21571,plain,
% 16.94/11.80 (~m_main_v_turn(s268, c_1)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21570, 156, 21567])).
% 16.94/11.80 tff(21572,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21573,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s268, c_1) | (~node5(s268)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21574,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s268, c_1) | (~node5(s268))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21573, 21572])).
% 16.94/11.80 tff(21575,plain,
% 16.94/11.80 (~node5(s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21574, 776, 21571])).
% 16.94/11.80 tff(21576,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21577,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s268, c_n1) | (~node2(s268)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21578,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s268, c_n1) | (~node2(s268))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21577, 21576])).
% 16.94/11.80 tff(21579,plain,
% 16.94/11.80 (~node2(s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21578, 787, 21554])).
% 16.94/11.80 tff(21580,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21581,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s268, c_n1) | (~node3(s268)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21582,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s268, c_n1) | (~node3(s268))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21581, 21580])).
% 16.94/11.80 tff(21583,plain,
% 16.94/11.80 (~node3(s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21582, 798, 21554])).
% 16.94/11.80 tff(21584,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21585,plain,
% 16.94/11.80 ((~![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)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21586,plain,
% 16.94/11.80 ((~![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))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 16.94/11.80 tff(21587,plain,
% 16.94/11.80 (~m_main_v_state1(s268, c_c1)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21586, 539, 21550])).
% 16.94/11.80 tff(21588,plain,
% 16.94/11.80 (((~![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(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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21589,plain,
% 16.94/11.80 (((~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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21590,plain,
% 16.94/11.80 (((~![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))))),
% 16.94/11.80 inference(monotonicity,[status(thm)],[21589])).
% 16.94/11.80 tff(21591,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(transitivity,[status(thm)],[21590, 21588])).
% 16.94/11.80 tff(21592,plain,
% 16.94/11.80 ((~![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)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21593,plain,
% 16.94/11.80 ((~![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(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21592, 21591])).
% 16.94/11.80 tff(21594,plain,
% 16.94/11.80 (~m_main_v_state2(s267, c_n2)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21593, 311, 21435, 21527])).
% 16.94/11.80 tff(21595,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21596,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s267, c_n2) | (~node9(s267)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21597,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s267, c_n2) | (~node9(s267))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21596, 21595])).
% 16.94/11.80 tff(21598,plain,
% 16.94/11.80 (~node9(s267)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21597, 88, 21594])).
% 16.94/11.80 tff(21599,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21600,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s267, c_n2) | (~node10(s267)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21601,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s267, c_n2) | (~node10(s267))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21600, 21599])).
% 16.94/11.80 tff(21602,plain,
% 16.94/11.80 (~node10(s267)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21601, 249, 21594])).
% 16.94/11.80 tff(21603,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21604,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s267, c_n2) | (~node8(s267)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21605,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s267, c_n2) | (~node8(s267))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21604, 21603])).
% 16.94/11.80 tff(21606,plain,
% 16.94/11.80 (~node8(s267)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21605, 271, 21594])).
% 16.94/11.80 tff(21607,plain,
% 16.94/11.80 (((~![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))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21608,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s267, s268)) | node14(s267, s268))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21609,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s267, s268)) | node14(s267, s268)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21608, 21607])).
% 16.94/11.80 tff(21610,plain,
% 16.94/11.80 (node14(s267, s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21609, 46, 21541])).
% 16.94/11.80 tff(21611,plain,
% 16.94/11.80 (((~![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(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))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21612,plain,
% 16.94/11.80 ((~![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(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))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21613,plain,
% 16.94/11.80 ((~![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(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)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21612, 21611])).
% 16.94/11.80 tff(21614,plain,
% 16.94/11.80 ((~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)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21613, 617, 21610])).
% 16.94/11.80 tff(21615,plain,
% 16.94/11.80 (m_main_v_state2(s268, c_c2)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21614, 21606, 21478, 21534, 21602, 21598])).
% 16.94/11.80 tff(21616,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21617,plain,
% 16.94/11.80 ((~![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)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21618,plain,
% 16.94/11.80 ((~![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))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21617, 21616])).
% 16.94/11.80 tff(21619,plain,
% 16.94/11.80 (~m_main_v_state2(s268, c_n2)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21618, 697, 21615])).
% 16.94/11.80 tff(21620,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21621,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s268, c_n2) | (~node4(s268)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21622,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s268, c_n2) | (~node4(s268))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21621, 21620])).
% 16.94/11.80 tff(21623,plain,
% 16.94/11.80 (~node4(s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21622, 388, 21619])).
% 16.94/11.80 tff(21624,plain,
% 16.94/11.80 (succ(s268, s269) <=> succ(s268, s269)),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21625,axiom,(succ(s268, s269)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound269')).
% 16.94/11.80 tff(21626,plain,
% 16.94/11.80 (succ(s268, s269)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21625, 21624])).
% 16.94/11.80 tff(21627,plain,
% 16.94/11.80 (((~![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))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21628,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21629,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21628, 21627])).
% 16.94/11.80 tff(21630,plain,
% 16.94/11.80 (trans(s268, s269)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21629, 21626, 32])).
% 16.94/11.80 tff(21631,plain,
% 16.94/11.80 (((~![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))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21632,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s268, s269)) | node7(s268, s269))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21633,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s268, s269)) | node7(s268, s269)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21632, 21631])).
% 16.94/11.80 tff(21634,plain,
% 16.94/11.80 (node7(s268, s269)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21633, 206, 21630])).
% 16.94/11.80 tff(21635,plain,
% 16.94/11.80 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21636,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269) | (~node7(s268, s269)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21637,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269) | (~node7(s268, s269))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 16.94/11.80 tff(21638,plain,
% 16.94/11.80 (m_main_v_state1(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21637, 820, 21634])).
% 16.94/11.80 tff(21639,plain,
% 16.94/11.80 (node6(s268, s269)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21638, 21623, 21587, 21583, 21579, 21575, 21558])).
% 16.94/11.80 tff(21640,plain,
% 16.94/11.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21641,plain,
% 16.94/11.80 (((~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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21642,plain,
% 16.94/11.80 (((~![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))))),
% 16.94/11.80 inference(monotonicity,[status(thm)],[21641])).
% 16.94/11.80 tff(21643,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(transitivity,[status(thm)],[21642, 21640])).
% 16.94/11.80 tff(21644,plain,
% 16.94/11.80 ((~![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))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21645,plain,
% 16.94/11.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 16.94/11.80 tff(21646,plain,
% 16.94/11.80 (m_main_v_state1(s269, c_t1)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21645, 856, 21550, 21639])).
% 16.94/11.80 tff(21647,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21648,plain,
% 16.94/11.80 ((~![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)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21649,plain,
% 16.94/11.80 ((~![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))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21648, 21647])).
% 16.94/11.80 tff(21650,plain,
% 16.94/11.80 (~m_main_v_state2(s268, c_t2)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21649, 260, 21615])).
% 16.94/11.80 tff(21651,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21652,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s268, c_t2) | (~node12(s268)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21653,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s268, c_t2) | (~node12(s268))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21652, 21651])).
% 16.94/11.80 tff(21654,plain,
% 16.94/11.80 (~node12(s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21653, 633, 21650])).
% 16.94/11.80 tff(21655,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21656,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s268, c_n1) | (~node11(s268)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21657,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s268, c_n1) | (~node11(s268))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21656, 21655])).
% 16.94/11.80 tff(21658,plain,
% 16.94/11.80 (~node11(s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21657, 238, 21554])).
% 16.94/11.80 tff(21659,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21660,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s268, c_c1) | (~node10(s268)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21661,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s268, c_c1) | (~node10(s268))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21660, 21659])).
% 16.94/11.80 tff(21662,plain,
% 16.94/11.80 (~node10(s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21661, 675, 21587])).
% 16.94/11.80 tff(21663,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21664,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s268, c_n1) | (~node9(s268)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21665,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s268, c_n1) | (~node9(s268))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21664, 21663])).
% 16.94/11.80 tff(21666,plain,
% 16.94/11.80 (~node9(s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21665, 686, 21554])).
% 16.94/11.80 tff(21667,plain,
% 16.94/11.80 (((~![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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21668,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s268, c_n2) | (~node8(s268)))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21669,plain,
% 16.94/11.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s268, c_n2) | (~node8(s268))),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21668, 21667])).
% 16.94/11.80 tff(21670,plain,
% 16.94/11.80 (~node8(s268)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21669, 271, 21619])).
% 16.94/11.80 tff(21671,plain,
% 16.94/11.80 (((~![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))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21672,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s268, s269)) | node14(s268, s269))),
% 16.94/11.80 inference(quant_inst,[status(thm)],[])).
% 16.94/11.80 tff(21673,plain,
% 16.94/11.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s268, s269)) | node14(s268, s269)),
% 16.94/11.80 inference(modus_ponens,[status(thm)],[21672, 21671])).
% 16.94/11.80 tff(21674,plain,
% 16.94/11.80 (node14(s268, s269)),
% 16.94/11.80 inference(unit_resolution,[status(thm)],[21673, 46, 21630])).
% 16.94/11.80 tff(21675,plain,
% 16.94/11.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21676,plain,
% 16.94/11.80 (((~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)))),
% 16.94/11.80 inference(rewrite,[status(thm)],[])).
% 16.94/11.80 tff(21677,plain,
% 16.94/11.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 16.94/11.80 inference(monotonicity,[status(thm)],[21676])).
% 16.94/11.80 tff(21678,plain,
% 16.94/11.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 16.94/11.81 inference(transitivity,[status(thm)],[21677, 21675])).
% 16.94/11.81 tff(21679,plain,
% 16.94/11.81 ((~![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(s268, c_c2)) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | m_main_v_state2(s269, c_n2))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21680,plain,
% 16.94/11.81 ((~![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(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21679, 21678])).
% 16.94/11.81 tff(21681,plain,
% 16.94/11.81 (m_main_v_state2(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~m_main_v_state2(s268, c_c2))),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21680, 726, 21674])).
% 16.94/11.81 tff(21682,plain,
% 16.94/11.81 (m_main_v_state2(s269, c_n2)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21681, 21670, 21615, 21666, 21662, 21658, 21654])).
% 16.94/11.81 tff(21683,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21684,plain,
% 16.94/11.81 ((~![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)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21685,plain,
% 16.94/11.81 ((~![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))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21684, 21683])).
% 16.94/11.81 tff(21686,plain,
% 16.94/11.81 (~m_main_v_state2(s269, c_t2)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21685, 77, 21682])).
% 16.94/11.81 tff(21687,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21688,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s269, c_t2) | (~node15(s269)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21689,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s269, c_t2) | (~node15(s269))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21688, 21687])).
% 16.94/11.81 tff(21690,plain,
% 16.94/11.81 (~node15(s269)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21689, 103, 21686])).
% 16.94/11.81 tff(21691,plain,
% 16.94/11.81 (succ(s269, s270) <=> succ(s269, s270)),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21692,axiom,(succ(s269, s270)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound270')).
% 16.94/11.81 tff(21693,plain,
% 16.94/11.81 (succ(s269, s270)),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 16.94/11.81 tff(21694,plain,
% 16.94/11.81 (((~![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))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21695,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21696,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270)),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21695, 21694])).
% 16.94/11.81 tff(21697,plain,
% 16.94/11.81 (trans(s269, s270)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21696, 21693, 32])).
% 16.94/11.81 tff(21698,plain,
% 16.94/11.81 (((~![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))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21699,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s269, s270)) | node18(s269, s270))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21700,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s269, s270)) | node18(s269, s270)),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21699, 21698])).
% 16.94/11.81 tff(21701,plain,
% 16.94/11.81 (node18(s269, s270)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21700, 125, 21697])).
% 16.94/11.81 tff(21702,plain,
% 16.94/11.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21703,plain,
% 16.94/11.81 (((~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))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21704,plain,
% 16.94/11.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 16.94/11.81 inference(monotonicity,[status(thm)],[21703])).
% 16.94/11.81 tff(21705,plain,
% 16.94/11.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 16.94/11.81 inference(transitivity,[status(thm)],[21704, 21702])).
% 16.94/11.81 tff(21706,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node15(s269) | (~node18(s269, s270)) | m_main_v_turn(s270, c_1))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21707,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21706, 21705])).
% 16.94/11.81 tff(21708,plain,
% 16.94/11.81 (node15(s269) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21707, 992, 21701])).
% 16.94/11.81 tff(21709,plain,
% 16.94/11.81 (m_main_v_turn(s270, c_1)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21708, 21690, 21682, 21646])).
% 16.94/11.81 tff(21710,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21711,plain,
% 16.94/11.81 ((~![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)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21712,plain,
% 16.94/11.81 ((~![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))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21711, 21710])).
% 16.94/11.81 tff(21713,plain,
% 16.94/11.81 (~m_main_v_turn(s270, c_2)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21712, 156, 21709])).
% 16.94/11.81 tff(21714,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21715,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s270, c_2) | (~node12(s270)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21716,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s270, c_2) | (~node12(s270))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21715, 21714])).
% 16.94/11.81 tff(21717,plain,
% 16.94/11.81 (~node12(s270)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21716, 184, 21713])).
% 16.94/11.81 tff(21718,plain,
% 16.94/11.81 (((~![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))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21719,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s269, s270)) | node14(s269, s270))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21720,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s269, s270)) | node14(s269, s270)),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21719, 21718])).
% 16.94/11.81 tff(21721,plain,
% 16.94/11.81 (node14(s269, s270)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21720, 46, 21697])).
% 16.94/11.81 tff(21722,plain,
% 16.94/11.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21723,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | (~node14(s269, s270)) | m_main_v_state2(s270, c_t2))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21724,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | (~node14(s269, s270)) | m_main_v_state2(s270, c_t2)),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21723, 21722])).
% 16.94/11.81 tff(21725,plain,
% 16.94/11.81 ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state2(s270, c_t2)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21724, 922, 21721])).
% 16.94/11.81 tff(21726,plain,
% 16.94/11.81 (m_main_v_state2(s270, c_t2)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21725, 21646, 21682])).
% 16.94/11.81 tff(21727,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21728,plain,
% 16.94/11.81 ((~![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)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21729,plain,
% 16.94/11.81 ((~![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))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21728, 21727])).
% 16.94/11.81 tff(21730,plain,
% 16.94/11.81 (~m_main_v_state2(s270, c_n2)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21729, 77, 21726])).
% 16.94/11.81 tff(21731,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21732,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s270, c_n2) | (~node8(s270)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21733,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s270, c_n2) | (~node8(s270))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21732, 21731])).
% 16.94/11.81 tff(21734,plain,
% 16.94/11.81 (~node8(s270)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21733, 271, 21730])).
% 16.94/11.81 tff(21735,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21736,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s270, c_n2) | (~node9(s270)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21737,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s270, c_n2) | (~node9(s270))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21736, 21735])).
% 16.94/11.81 tff(21738,plain,
% 16.94/11.81 (~node9(s270)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21737, 88, 21730])).
% 16.94/11.81 tff(21739,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21740,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s270, c_n2) | (~node10(s270)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21741,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s270, c_n2) | (~node10(s270))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21740, 21739])).
% 16.94/11.81 tff(21742,plain,
% 16.94/11.81 (~node10(s270)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21741, 249, 21730])).
% 16.94/11.81 tff(21743,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21744,plain,
% 16.94/11.81 ((~![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)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21745,plain,
% 16.94/11.81 ((~![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))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21744, 21743])).
% 16.94/11.81 tff(21746,plain,
% 16.94/11.81 (~m_main_v_state2(s270, c_c2)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21745, 260, 21726])).
% 16.94/11.81 tff(21747,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21748,plain,
% 16.94/11.81 ((~![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)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21749,plain,
% 16.94/11.81 ((~![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))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 16.94/11.81 tff(21750,plain,
% 16.94/11.81 (~m_main_v_state2(s269, c_c2)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21749, 697, 21682])).
% 16.94/11.81 tff(21751,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21752,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s269, c_c2) | (~node3(s269)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21753,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s269, c_c2) | (~node3(s269))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21752, 21751])).
% 16.94/11.81 tff(21754,plain,
% 16.94/11.81 (~node3(s269)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21753, 399, 21750])).
% 16.94/11.81 tff(21755,plain,
% 16.94/11.81 (((~![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(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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21756,plain,
% 16.94/11.81 (((~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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21757,plain,
% 16.94/11.81 (((~![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))))),
% 16.94/11.81 inference(monotonicity,[status(thm)],[21756])).
% 16.94/11.81 tff(21758,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(transitivity,[status(thm)],[21757, 21755])).
% 16.94/11.81 tff(21759,plain,
% 16.94/11.81 ((~![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)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21760,plain,
% 16.94/11.81 ((~![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(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21759, 21758])).
% 16.94/11.81 tff(21761,plain,
% 16.94/11.81 (~m_main_v_state1(s269, c_n1)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21760, 835, 21554, 21639])).
% 16.94/11.81 tff(21762,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21763,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s269, c_n1) | (~node2(s269)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21764,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s269, c_n1) | (~node2(s269))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21763, 21762])).
% 16.94/11.81 tff(21765,plain,
% 16.94/11.81 (~node2(s269)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21764, 787, 21761])).
% 16.94/11.81 tff(21766,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21767,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s269, c_t2) | (~node1(s269)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21768,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s269, c_t2) | (~node1(s269))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21767, 21766])).
% 16.94/11.81 tff(21769,plain,
% 16.94/11.81 (~node1(s269)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21768, 195, 21686])).
% 16.94/11.81 tff(21770,plain,
% 16.94/11.81 (((~![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))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21771,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s269, s270)) | node7(s269, s270))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21772,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s269, s270)) | node7(s269, s270)),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21771, 21770])).
% 16.94/11.81 tff(21773,plain,
% 16.94/11.81 (node7(s269, s270)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21772, 206, 21697])).
% 16.94/11.81 tff(21774,plain,
% 16.94/11.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21775,plain,
% 16.94/11.81 (((~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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21776,plain,
% 16.94/11.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 16.94/11.81 inference(monotonicity,[status(thm)],[21775])).
% 16.94/11.81 tff(21777,plain,
% 16.94/11.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 16.94/11.81 inference(transitivity,[status(thm)],[21776, 21774])).
% 16.94/11.81 tff(21778,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21779,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21778, 21777])).
% 16.94/11.81 tff(21780,plain,
% 16.94/11.81 ((~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)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21779, 892, 21773])).
% 16.94/11.81 tff(21781,plain,
% 16.94/11.81 (m_main_v_state1(s270, c_c1)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21780, 21769, 21682, 21646, 21765, 21754])).
% 16.94/11.81 tff(21782,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21783,plain,
% 16.94/11.81 ((~![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)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21784,plain,
% 16.94/11.81 ((~![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))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21783, 21782])).
% 16.94/11.81 tff(21785,plain,
% 16.94/11.81 (~m_main_v_state1(s270, c_n1)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21784, 454, 21781])).
% 16.94/11.81 tff(21786,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21787,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s270, c_n1) | (~node11(s270)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21788,plain,
% 16.94/11.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s270, c_n1) | (~node11(s270))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21787, 21786])).
% 16.94/11.81 tff(21789,plain,
% 16.94/11.81 (~node11(s270)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21788, 238, 21785])).
% 16.94/11.81 tff(21790,plain,
% 16.94/11.81 (succ(s270, s271) <=> succ(s270, s271)),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21791,axiom,(succ(s270, s271)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound271')).
% 16.94/11.81 tff(21792,plain,
% 16.94/11.81 (succ(s270, s271)),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21791, 21790])).
% 16.94/11.81 tff(21793,plain,
% 16.94/11.81 (((~![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))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21794,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21795,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271)),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21794, 21793])).
% 16.94/11.81 tff(21796,plain,
% 16.94/11.81 (trans(s270, s271)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21795, 21792, 32])).
% 16.94/11.81 tff(21797,plain,
% 16.94/11.81 (((~![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))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21798,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s270, s271)) | node14(s270, s271))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21799,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s270, s271)) | node14(s270, s271)),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21798, 21797])).
% 16.94/11.81 tff(21800,plain,
% 16.94/11.81 (node14(s270, s271)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21799, 46, 21796])).
% 16.94/11.81 tff(21801,plain,
% 16.94/11.81 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21802,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271) | (~node14(s270, s271)))),
% 16.94/11.81 inference(quant_inst,[status(thm)],[])).
% 16.94/11.81 tff(21803,plain,
% 16.94/11.81 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271) | (~node14(s270, s271))),
% 16.94/11.81 inference(modus_ponens,[status(thm)],[21802, 21801])).
% 16.94/11.81 tff(21804,plain,
% 16.94/11.81 (m_main_v_state2(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21803, 296, 21800])).
% 16.94/11.81 tff(21805,plain,
% 16.94/11.81 (node13(s270, s271)),
% 16.94/11.81 inference(unit_resolution,[status(thm)],[21804, 21789, 21746, 21742, 21738, 21734, 21717])).
% 16.94/11.81 tff(21806,plain,
% 16.94/11.81 (((~![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(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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21807,plain,
% 16.94/11.81 (((~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)))),
% 16.94/11.81 inference(rewrite,[status(thm)],[])).
% 16.94/11.81 tff(21808,plain,
% 16.94/11.81 (((~![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))))),
% 16.94/11.81 inference(monotonicity,[status(thm)],[21807])).
% 16.94/11.81 tff(21809,plain,
% 16.94/11.81 (((~![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)))),
% 16.94/11.81 inference(transitivity,[status(thm)],[21808, 21806])).
% 16.94/11.82 tff(21810,plain,
% 16.94/11.82 ((~![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)))),
% 16.94/11.82 inference(quant_inst,[status(thm)],[])).
% 16.94/11.82 tff(21811,plain,
% 16.94/11.82 ((~![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(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271))),
% 16.94/11.82 inference(modus_ponens,[status(thm)],[21810, 21809])).
% 16.94/11.82 tff(21812,plain,
% 16.94/11.82 (~m_main_v_state2(s271, c_n2)),
% 16.94/11.82 inference(unit_resolution,[status(thm)],[21811, 311, 21730, 21805])).
% 16.94/11.82 tff(21813,plain,
% 16.94/11.82 (((~![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)))),
% 16.94/11.82 inference(rewrite,[status(thm)],[])).
% 16.94/11.82 tff(21814,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s271, c_n2) | (~node9(s271)))),
% 16.94/11.82 inference(quant_inst,[status(thm)],[])).
% 16.94/11.82 tff(21815,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s271, c_n2) | (~node9(s271))),
% 16.94/11.82 inference(modus_ponens,[status(thm)],[21814, 21813])).
% 16.94/11.82 tff(21816,plain,
% 16.94/11.82 (~node9(s271)),
% 16.94/11.82 inference(unit_resolution,[status(thm)],[21815, 88, 21812])).
% 16.94/11.82 tff(21817,plain,
% 16.94/11.82 (((~![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)))),
% 16.94/11.82 inference(rewrite,[status(thm)],[])).
% 16.94/11.82 tff(21818,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s271, c_n2) | (~node10(s271)))),
% 16.94/11.82 inference(quant_inst,[status(thm)],[])).
% 16.94/11.82 tff(21819,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s271, c_n2) | (~node10(s271))),
% 16.94/11.82 inference(modus_ponens,[status(thm)],[21818, 21817])).
% 16.94/11.82 tff(21820,plain,
% 16.94/11.82 (~node10(s271)),
% 16.94/11.82 inference(unit_resolution,[status(thm)],[21819, 249, 21812])).
% 16.94/11.82 tff(21821,plain,
% 16.94/11.82 (((~![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(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)))),
% 16.94/11.82 inference(rewrite,[status(thm)],[])).
% 16.94/11.82 tff(21822,plain,
% 16.94/11.82 (((~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)))),
% 16.94/11.82 inference(rewrite,[status(thm)],[])).
% 16.94/11.82 tff(21823,plain,
% 16.94/11.82 (((~![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))))),
% 16.94/11.82 inference(monotonicity,[status(thm)],[21822])).
% 16.94/11.82 tff(21824,plain,
% 16.94/11.82 (((~![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)))),
% 16.94/11.82 inference(transitivity,[status(thm)],[21823, 21821])).
% 16.94/11.82 tff(21825,plain,
% 16.94/11.82 ((~![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))),
% 16.94/11.82 inference(quant_inst,[status(thm)],[])).
% 16.94/11.82 tff(21826,plain,
% 16.94/11.82 ((~![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(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271))),
% 16.94/11.82 inference(modus_ponens,[status(thm)],[21825, 21824])).
% 16.94/11.82 tff(21827,plain,
% 16.94/11.82 (m_main_v_state2(s271, c_t2)),
% 16.94/11.82 inference(unit_resolution,[status(thm)],[21826, 518, 21726, 21805])).
% 16.94/11.82 tff(21828,plain,
% 16.94/11.82 (((~![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)))),
% 16.94/11.82 inference(rewrite,[status(thm)],[])).
% 16.94/11.82 tff(21829,plain,
% 16.94/11.82 ((~![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)))),
% 16.94/11.82 inference(quant_inst,[status(thm)],[])).
% 16.94/11.82 tff(21830,plain,
% 16.94/11.82 ((~![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))),
% 16.94/11.82 inference(modus_ponens,[status(thm)],[21829, 21828])).
% 16.94/11.82 tff(21831,plain,
% 16.94/11.82 (~m_main_v_state1(s270, c_t1)),
% 16.94/11.82 inference(unit_resolution,[status(thm)],[21830, 539, 21781])).
% 16.94/11.82 tff(21832,plain,
% 16.94/11.82 (((~![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)))),
% 16.94/11.82 inference(rewrite,[status(thm)],[])).
% 16.94/11.82 tff(21833,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s270, c_t1) | (~node5(s270)))),
% 16.94/11.82 inference(quant_inst,[status(thm)],[])).
% 16.94/11.82 tff(21834,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s270, c_t1) | (~node5(s270))),
% 16.94/11.82 inference(modus_ponens,[status(thm)],[21833, 21832])).
% 16.94/11.82 tff(21835,plain,
% 16.94/11.82 (~node5(s270)),
% 16.94/11.82 inference(unit_resolution,[status(thm)],[21834, 550, 21831])).
% 16.94/11.82 tff(21836,plain,
% 16.94/11.82 (((~![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)))),
% 16.94/11.82 inference(rewrite,[status(thm)],[])).
% 16.94/11.82 tff(21837,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s270, c_n2) | (~node4(s270)))),
% 16.94/11.82 inference(quant_inst,[status(thm)],[])).
% 16.94/11.82 tff(21838,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s270, c_n2) | (~node4(s270))),
% 16.94/11.82 inference(modus_ponens,[status(thm)],[21837, 21836])).
% 16.94/11.82 tff(21839,plain,
% 16.94/11.82 (~node4(s270)),
% 16.94/11.82 inference(unit_resolution,[status(thm)],[21838, 388, 21730])).
% 16.94/11.82 tff(21840,plain,
% 16.94/11.82 (((~![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)))),
% 16.94/11.82 inference(rewrite,[status(thm)],[])).
% 16.94/11.82 tff(21841,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s270, c_c2) | (~node3(s270)))),
% 16.94/11.82 inference(quant_inst,[status(thm)],[])).
% 16.94/11.82 tff(21842,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s270, c_c2) | (~node3(s270))),
% 16.94/11.82 inference(modus_ponens,[status(thm)],[21841, 21840])).
% 16.94/11.82 tff(21843,plain,
% 16.94/11.82 (~node3(s270)),
% 16.94/11.82 inference(unit_resolution,[status(thm)],[21842, 399, 21746])).
% 16.94/11.82 tff(21844,plain,
% 16.94/11.82 (((~![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)))),
% 16.94/11.82 inference(rewrite,[status(thm)],[])).
% 16.94/11.82 tff(21845,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s270, c_n2) | (~node2(s270)))),
% 16.94/11.82 inference(quant_inst,[status(thm)],[])).
% 16.94/11.82 tff(21846,plain,
% 16.94/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s270, c_n2) | (~node2(s270))),
% 16.94/11.82 inference(modus_ponens,[status(thm)],[21845, 21844])).
% 17.02/11.82 tff(21847,plain,
% 17.02/11.82 (~node2(s270)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21846, 410, 21730])).
% 17.02/11.82 tff(21848,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21849,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s270, c_n1) | (~node1(s270)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21850,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s270, c_n1) | (~node1(s270))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21849, 21848])).
% 17.02/11.82 tff(21851,plain,
% 17.02/11.82 (~node1(s270)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21850, 421, 21785])).
% 17.02/11.82 tff(21852,plain,
% 17.02/11.82 (((~![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))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21853,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s270, s271)) | node7(s270, s271))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21854,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s270, s271)) | node7(s270, s271)),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21853, 21852])).
% 17.02/11.82 tff(21855,plain,
% 17.02/11.82 (node7(s270, s271)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21854, 206, 21796])).
% 17.02/11.82 tff(21856,plain,
% 17.02/11.82 (((~![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(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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21857,plain,
% 17.02/11.82 (((~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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21858,plain,
% 17.02/11.82 (((~![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(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))))),
% 17.02/11.82 inference(monotonicity,[status(thm)],[21857])).
% 17.02/11.82 tff(21859,plain,
% 17.02/11.82 (((~![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(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)))),
% 17.02/11.82 inference(transitivity,[status(thm)],[21858, 21856])).
% 17.02/11.82 tff(21860,plain,
% 17.02/11.82 ((~![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(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)) | m_main_v_state1(s271, c_n1))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21861,plain,
% 17.02/11.82 ((~![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(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21860, 21859])).
% 17.02/11.82 tff(21862,plain,
% 17.02/11.82 (m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21861, 584, 21855])).
% 17.02/11.82 tff(21863,plain,
% 17.02/11.82 (m_main_v_state1(s271, c_n1)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21862, 21851, 21781, 21847, 21843, 21839, 21835])).
% 17.02/11.82 tff(21864,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21865,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s271, c_n2) | (~node8(s271)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21866,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s271, c_n2) | (~node8(s271))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21865, 21864])).
% 17.02/11.82 tff(21867,plain,
% 17.02/11.82 (~node8(s271)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21866, 271, 21812])).
% 17.02/11.82 tff(21868,plain,
% 17.02/11.82 (succ(s271, s272) <=> succ(s271, s272)),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21869,axiom,(succ(s271, s272)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound272')).
% 17.02/11.82 tff(21870,plain,
% 17.02/11.82 (succ(s271, s272)),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21869, 21868])).
% 17.02/11.82 tff(21871,plain,
% 17.02/11.82 (((~![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))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21872,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21873,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272)),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21872, 21871])).
% 17.02/11.82 tff(21874,plain,
% 17.02/11.82 (trans(s271, s272)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21873, 21870, 32])).
% 17.02/11.82 tff(21875,plain,
% 17.02/11.82 (((~![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))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21876,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s271, s272)) | node14(s271, s272))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21877,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s271, s272)) | node14(s271, s272)),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21876, 21875])).
% 17.02/11.82 tff(21878,plain,
% 17.02/11.82 (node14(s271, s272)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21877, 46, 21874])).
% 17.02/11.82 tff(21879,plain,
% 17.02/11.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21880,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21881,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21880, 21879])).
% 17.02/11.82 tff(21882,plain,
% 17.02/11.82 ((~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)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21881, 617, 21878])).
% 17.02/11.82 tff(21883,plain,
% 17.02/11.82 (m_main_v_state2(s272, c_c2)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21882, 21867, 21863, 21827, 21820, 21816])).
% 17.02/11.82 tff(21884,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21885,plain,
% 17.02/11.82 ((~![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)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21886,plain,
% 17.02/11.82 ((~![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))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21885, 21884])).
% 17.02/11.82 tff(21887,plain,
% 17.02/11.82 (~m_main_v_state2(s272, c_t2)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21886, 260, 21883])).
% 17.02/11.82 tff(21888,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21889,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s272, c_t2) | (~node12(s272)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21890,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s272, c_t2) | (~node12(s272))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21889, 21888])).
% 17.02/11.82 tff(21891,plain,
% 17.02/11.82 (~node12(s272)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21890, 633, 21887])).
% 17.02/11.82 tff(21892,plain,
% 17.02/11.82 (((~![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))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21893,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s271, s272)) | node7(s271, s272))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21894,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s271, s272)) | node7(s271, s272)),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21893, 21892])).
% 17.02/11.82 tff(21895,plain,
% 17.02/11.82 (node7(s271, s272)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21894, 206, 21874])).
% 17.02/11.82 tff(21896,plain,
% 17.02/11.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21897,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node7(s271, s272)) | m_main_v_state1(s272, c_t1))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21898,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node7(s271, s272)) | m_main_v_state1(s272, c_t1)),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21897, 21896])).
% 17.02/11.82 tff(21899,plain,
% 17.02/11.82 ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | m_main_v_state1(s272, c_t1)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21898, 651, 21895])).
% 17.02/11.82 tff(21900,plain,
% 17.02/11.82 (m_main_v_state1(s272, c_t1)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21899, 21827, 21863])).
% 17.02/11.82 tff(21901,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21902,plain,
% 17.02/11.82 ((~![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)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21903,plain,
% 17.02/11.82 ((~![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))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21902, 21901])).
% 17.02/11.82 tff(21904,plain,
% 17.02/11.82 (~m_main_v_state1(s272, c_n1)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21903, 10, 21900])).
% 17.02/11.82 tff(21905,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21906,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s272, c_n1) | (~node11(s272)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21907,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s272, c_n1) | (~node11(s272))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21906, 21905])).
% 17.02/11.82 tff(21908,plain,
% 17.02/11.82 (~node11(s272)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21907, 238, 21904])).
% 17.02/11.82 tff(21909,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21910,plain,
% 17.02/11.82 ((~![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)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21911,plain,
% 17.02/11.82 ((~![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))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21910, 21909])).
% 17.02/11.82 tff(21912,plain,
% 17.02/11.82 (~m_main_v_state1(s272, c_c1)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21911, 539, 21900])).
% 17.02/11.82 tff(21913,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21914,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s272, c_c1) | (~node10(s272)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21915,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s272, c_c1) | (~node10(s272))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21914, 21913])).
% 17.02/11.82 tff(21916,plain,
% 17.02/11.82 (~node10(s272)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21915, 675, 21912])).
% 17.02/11.82 tff(21917,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21918,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s272, c_n1) | (~node9(s272)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21919,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s272, c_n1) | (~node9(s272))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21918, 21917])).
% 17.02/11.82 tff(21920,plain,
% 17.02/11.82 (~node9(s272)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21919, 686, 21904])).
% 17.02/11.82 tff(21921,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21922,plain,
% 17.02/11.82 ((~![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)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21923,plain,
% 17.02/11.82 ((~![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))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21922, 21921])).
% 17.02/11.82 tff(21924,plain,
% 17.02/11.82 (~m_main_v_state2(s272, c_n2)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21923, 697, 21883])).
% 17.02/11.82 tff(21925,plain,
% 17.02/11.82 (((~![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)))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21926,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s272, c_n2) | (~node8(s272)))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21927,plain,
% 17.02/11.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s272, c_n2) | (~node8(s272))),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21926, 21925])).
% 17.02/11.82 tff(21928,plain,
% 17.02/11.82 (~node8(s272)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21927, 271, 21924])).
% 17.02/11.82 tff(21929,plain,
% 17.02/11.82 (succ(s272, s273) <=> succ(s272, s273)),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21930,axiom,(succ(s272, s273)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound273')).
% 17.02/11.82 tff(21931,plain,
% 17.02/11.82 (succ(s272, s273)),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21930, 21929])).
% 17.02/11.82 tff(21932,plain,
% 17.02/11.82 (((~![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))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.82 tff(21933,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))),
% 17.02/11.82 inference(quant_inst,[status(thm)],[])).
% 17.02/11.82 tff(21934,plain,
% 17.02/11.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273)),
% 17.02/11.82 inference(modus_ponens,[status(thm)],[21933, 21932])).
% 17.02/11.82 tff(21935,plain,
% 17.02/11.82 (trans(s272, s273)),
% 17.02/11.82 inference(unit_resolution,[status(thm)],[21934, 21931, 32])).
% 17.02/11.82 tff(21936,plain,
% 17.02/11.82 (((~![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))),
% 17.02/11.82 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21937,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s272, s273)) | node14(s272, s273))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21938,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s272, s273)) | node14(s272, s273)),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21937, 21936])).
% 17.02/11.83 tff(21939,plain,
% 17.02/11.83 (node14(s272, s273)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21938, 46, 21935])).
% 17.02/11.83 tff(21940,plain,
% 17.02/11.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21941,plain,
% 17.02/11.83 (((~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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21942,plain,
% 17.02/11.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 17.02/11.83 inference(monotonicity,[status(thm)],[21941])).
% 17.02/11.83 tff(21943,plain,
% 17.02/11.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 17.02/11.83 inference(transitivity,[status(thm)],[21942, 21940])).
% 17.02/11.83 tff(21944,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s272, c_c2)) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | m_main_v_state2(s273, c_n2))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21945,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21944, 21943])).
% 17.02/11.83 tff(21946,plain,
% 17.02/11.83 (m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~m_main_v_state2(s272, c_c2))),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21945, 726, 21939])).
% 17.02/11.83 tff(21947,plain,
% 17.02/11.83 (m_main_v_state2(s273, c_n2)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21946, 21928, 21883, 21920, 21916, 21908, 21891])).
% 17.02/11.83 tff(21948,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21949,plain,
% 17.02/11.83 ((~![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)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21950,plain,
% 17.02/11.83 ((~![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))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21949, 21948])).
% 17.02/11.83 tff(21951,plain,
% 17.02/11.83 (~m_main_v_state2(s273, c_c2)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21950, 697, 21947])).
% 17.02/11.83 tff(21952,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21953,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s273, c_c2) | (~node3(s273)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21954,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s273, c_c2) | (~node3(s273))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21953, 21952])).
% 17.02/11.83 tff(21955,plain,
% 17.02/11.83 (~node3(s273)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21954, 399, 21951])).
% 17.02/11.83 tff(21956,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21957,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s272, c_n1) | (~node1(s272)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21958,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s272, c_n1) | (~node1(s272))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21957, 21956])).
% 17.02/11.83 tff(21959,plain,
% 17.02/11.83 (~node1(s272)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21958, 421, 21904])).
% 17.02/11.83 tff(21960,plain,
% 17.02/11.83 (((~![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))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21961,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s271, s272)) | node18(s271, s272))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21962,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s271, s272)) | node18(s271, s272)),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21961, 21960])).
% 17.02/11.83 tff(21963,plain,
% 17.02/11.83 (node18(s271, s272)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21962, 125, 21874])).
% 17.02/11.83 tff(21964,plain,
% 17.02/11.83 (((~![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(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))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21965,plain,
% 17.02/11.83 ((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node18(s271, s272)) | m_main_v_turn(s272, c_2))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21966,plain,
% 17.02/11.83 ((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node18(s271, s272)) | m_main_v_turn(s272, c_2)),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21965, 21964])).
% 17.02/11.83 tff(21967,plain,
% 17.02/11.83 ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | m_main_v_turn(s272, c_2)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21966, 760, 21963])).
% 17.02/11.83 tff(21968,plain,
% 17.02/11.83 (m_main_v_turn(s272, c_2)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21967, 21827, 21863])).
% 17.02/11.83 tff(21969,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21970,plain,
% 17.02/11.83 ((~![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)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21971,plain,
% 17.02/11.83 ((~![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))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21970, 21969])).
% 17.02/11.83 tff(21972,plain,
% 17.02/11.83 (~m_main_v_turn(s272, c_1)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21971, 156, 21968])).
% 17.02/11.83 tff(21973,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21974,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s272, c_1) | (~node5(s272)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21975,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s272, c_1) | (~node5(s272))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21974, 21973])).
% 17.02/11.83 tff(21976,plain,
% 17.02/11.83 (~node5(s272)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21975, 776, 21972])).
% 17.02/11.83 tff(21977,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21978,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s272, c_n1) | (~node2(s272)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21979,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s272, c_n1) | (~node2(s272))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21978, 21977])).
% 17.02/11.83 tff(21980,plain,
% 17.02/11.83 (~node2(s272)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21979, 787, 21904])).
% 17.02/11.83 tff(21981,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21982,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s272, c_n1) | (~node3(s272)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21983,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s272, c_n1) | (~node3(s272))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21982, 21981])).
% 17.02/11.83 tff(21984,plain,
% 17.02/11.83 (~node3(s272)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21983, 798, 21904])).
% 17.02/11.83 tff(21985,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21986,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s272, c_n2) | (~node4(s272)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21987,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s272, c_n2) | (~node4(s272))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21986, 21985])).
% 17.02/11.83 tff(21988,plain,
% 17.02/11.83 (~node4(s272)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21987, 388, 21924])).
% 17.02/11.83 tff(21989,plain,
% 17.02/11.83 (((~![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))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21990,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s272, s273)) | node7(s272, s273))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21991,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s272, s273)) | node7(s272, s273)),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21990, 21989])).
% 17.02/11.83 tff(21992,plain,
% 17.02/11.83 (node7(s272, s273)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21991, 206, 21935])).
% 17.02/11.83 tff(21993,plain,
% 17.02/11.83 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21994,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(21995,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[21994, 21993])).
% 17.02/11.83 tff(21996,plain,
% 17.02/11.83 (m_main_v_state1(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21995, 820, 21992])).
% 17.02/11.83 tff(21997,plain,
% 17.02/11.83 (node6(s272, s273)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[21996, 21988, 21912, 21984, 21980, 21976, 21959])).
% 17.02/11.83 tff(21998,plain,
% 17.02/11.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(21999,plain,
% 17.02/11.83 (((~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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22000,plain,
% 17.02/11.83 (((~![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))))),
% 17.02/11.83 inference(monotonicity,[status(thm)],[21999])).
% 17.02/11.83 tff(22001,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(transitivity,[status(thm)],[22000, 21998])).
% 17.02/11.83 tff(22002,plain,
% 17.02/11.83 ((~![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)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22003,plain,
% 17.02/11.83 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22002, 22001])).
% 17.02/11.83 tff(22004,plain,
% 17.02/11.83 (~m_main_v_state1(s273, c_n1)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22003, 835, 21904, 21997])).
% 17.02/11.83 tff(22005,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22006,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s273, c_n1) | (~node2(s273)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22007,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s273, c_n1) | (~node2(s273))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22006, 22005])).
% 17.02/11.83 tff(22008,plain,
% 17.02/11.83 (~node2(s273)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22007, 787, 22004])).
% 17.02/11.83 tff(22009,plain,
% 17.02/11.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22010,plain,
% 17.02/11.83 (((~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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22011,plain,
% 17.02/11.83 (((~![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))))),
% 17.02/11.83 inference(monotonicity,[status(thm)],[22010])).
% 17.02/11.83 tff(22012,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(transitivity,[status(thm)],[22011, 22009])).
% 17.02/11.83 tff(22013,plain,
% 17.02/11.83 ((~![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))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22014,plain,
% 17.02/11.83 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22013, 22012])).
% 17.02/11.83 tff(22015,plain,
% 17.02/11.83 (m_main_v_state1(s273, c_t1)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22014, 856, 21900, 21997])).
% 17.02/11.83 tff(22016,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22017,plain,
% 17.02/11.83 ((~![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)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22018,plain,
% 17.02/11.83 ((~![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))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22017, 22016])).
% 17.02/11.83 tff(22019,plain,
% 17.02/11.83 (~m_main_v_state2(s273, c_t2)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22018, 77, 21947])).
% 17.02/11.83 tff(22020,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22021,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s273, c_t2) | (~node1(s273)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22022,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s273, c_t2) | (~node1(s273))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22021, 22020])).
% 17.02/11.83 tff(22023,plain,
% 17.02/11.83 (~node1(s273)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22022, 195, 22019])).
% 17.02/11.83 tff(22024,plain,
% 17.02/11.83 (succ(s273, s274) <=> succ(s273, s274)),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22025,axiom,(succ(s273, s274)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound274')).
% 17.02/11.83 tff(22026,plain,
% 17.02/11.83 (succ(s273, s274)),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22025, 22024])).
% 17.02/11.83 tff(22027,plain,
% 17.02/11.83 (((~![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))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22028,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22029,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274)),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22028, 22027])).
% 17.02/11.83 tff(22030,plain,
% 17.02/11.83 (trans(s273, s274)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22029, 22026, 32])).
% 17.02/11.83 tff(22031,plain,
% 17.02/11.83 (((~![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))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22032,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s273, s274)) | node7(s273, s274))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22033,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s273, s274)) | node7(s273, s274)),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22032, 22031])).
% 17.02/11.83 tff(22034,plain,
% 17.02/11.83 (node7(s273, s274)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22033, 206, 22030])).
% 17.02/11.83 tff(22035,plain,
% 17.02/11.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22036,plain,
% 17.02/11.83 (((~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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22037,plain,
% 17.02/11.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 17.02/11.83 inference(monotonicity,[status(thm)],[22036])).
% 17.02/11.83 tff(22038,plain,
% 17.02/11.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 17.02/11.83 inference(transitivity,[status(thm)],[22037, 22035])).
% 17.02/11.83 tff(22039,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22040,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22039, 22038])).
% 17.02/11.83 tff(22041,plain,
% 17.02/11.83 ((~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)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22040, 892, 22034])).
% 17.02/11.83 tff(22042,plain,
% 17.02/11.83 (m_main_v_state1(s274, c_c1)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22041, 22023, 21947, 22015, 22008, 21955])).
% 17.02/11.83 tff(22043,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22044,plain,
% 17.02/11.83 ((~![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)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22045,plain,
% 17.02/11.83 ((~![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))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22044, 22043])).
% 17.02/11.83 tff(22046,plain,
% 17.02/11.83 (~m_main_v_state1(s274, c_t1)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22045, 539, 22042])).
% 17.02/11.83 tff(22047,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22048,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s274, c_t1) | (~node5(s274)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22049,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s274, c_t1) | (~node5(s274))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22048, 22047])).
% 17.02/11.83 tff(22050,plain,
% 17.02/11.83 (~node5(s274)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22049, 550, 22046])).
% 17.02/11.83 tff(22051,plain,
% 17.02/11.83 (((~![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))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22052,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s273, s274)) | node14(s273, s274))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22053,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s273, s274)) | node14(s273, s274)),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22052, 22051])).
% 17.02/11.83 tff(22054,plain,
% 17.02/11.83 (node14(s273, s274)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22053, 46, 22030])).
% 17.02/11.83 tff(22055,plain,
% 17.02/11.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22056,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | (~node14(s273, s274)) | m_main_v_state2(s274, c_t2))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22057,plain,
% 17.02/11.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | (~node14(s273, s274)) | m_main_v_state2(s274, c_t2)),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22056, 22055])).
% 17.02/11.83 tff(22058,plain,
% 17.02/11.83 ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state2(s274, c_t2)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22057, 922, 22054])).
% 17.02/11.83 tff(22059,plain,
% 17.02/11.83 (m_main_v_state2(s274, c_t2)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22058, 22015, 21947])).
% 17.02/11.83 tff(22060,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22061,plain,
% 17.02/11.83 ((~![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)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22062,plain,
% 17.02/11.83 ((~![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))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22061, 22060])).
% 17.02/11.83 tff(22063,plain,
% 17.02/11.83 (~m_main_v_state2(s274, c_n2)),
% 17.02/11.83 inference(unit_resolution,[status(thm)],[22062, 77, 22059])).
% 17.02/11.83 tff(22064,plain,
% 17.02/11.83 (((~![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)))),
% 17.02/11.83 inference(rewrite,[status(thm)],[])).
% 17.02/11.83 tff(22065,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s274, c_n2) | (~node4(s274)))),
% 17.02/11.83 inference(quant_inst,[status(thm)],[])).
% 17.02/11.83 tff(22066,plain,
% 17.02/11.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s274, c_n2) | (~node4(s274))),
% 17.02/11.83 inference(modus_ponens,[status(thm)],[22065, 22064])).
% 17.02/11.83 tff(22067,plain,
% 17.02/11.83 (~node4(s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22066, 388, 22063])).
% 17.02/11.84 tff(22068,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22069,plain,
% 17.02/11.84 ((~![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)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22070,plain,
% 17.02/11.84 ((~![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))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22069, 22068])).
% 17.02/11.84 tff(22071,plain,
% 17.02/11.84 (~m_main_v_state2(s274, c_c2)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22070, 260, 22059])).
% 17.02/11.84 tff(22072,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22073,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s274, c_c2) | (~node3(s274)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22074,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s274, c_c2) | (~node3(s274))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22073, 22072])).
% 17.02/11.84 tff(22075,plain,
% 17.02/11.84 (~node3(s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22074, 399, 22071])).
% 17.02/11.84 tff(22076,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22077,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s274, c_n2) | (~node2(s274)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22078,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s274, c_n2) | (~node2(s274))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22077, 22076])).
% 17.02/11.84 tff(22079,plain,
% 17.02/11.84 (~node2(s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22078, 410, 22063])).
% 17.02/11.84 tff(22080,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22081,plain,
% 17.02/11.84 ((~![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)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22082,plain,
% 17.02/11.84 ((~![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))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22081, 22080])).
% 17.02/11.84 tff(22083,plain,
% 17.02/11.84 (~m_main_v_state1(s274, c_n1)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22082, 454, 22042])).
% 17.02/11.84 tff(22084,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22085,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s274, c_n1) | (~node1(s274)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22086,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s274, c_n1) | (~node1(s274))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22085, 22084])).
% 17.02/11.84 tff(22087,plain,
% 17.02/11.84 (~node1(s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22086, 421, 22083])).
% 17.02/11.84 tff(22088,plain,
% 17.02/11.84 (succ(s274, s275) <=> succ(s274, s275)),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22089,axiom,(succ(s274, s275)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound275')).
% 17.02/11.84 tff(22090,plain,
% 17.02/11.84 (succ(s274, s275)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22089, 22088])).
% 17.02/11.84 tff(22091,plain,
% 17.02/11.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22092,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22093,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22092, 22091])).
% 17.02/11.84 tff(22094,plain,
% 17.02/11.84 (trans(s274, s275)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22093, 22090, 32])).
% 17.02/11.84 tff(22095,plain,
% 17.02/11.84 (((~![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))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22096,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s274, s275)) | node7(s274, s275))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22097,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s274, s275)) | node7(s274, s275)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22096, 22095])).
% 17.02/11.84 tff(22098,plain,
% 17.02/11.84 (node7(s274, s275)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22097, 206, 22094])).
% 17.02/11.84 tff(22099,plain,
% 17.02/11.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22100,plain,
% 17.02/11.84 (((~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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22101,plain,
% 17.02/11.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 17.02/11.84 inference(monotonicity,[status(thm)],[22100])).
% 17.02/11.84 tff(22102,plain,
% 17.02/11.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 17.02/11.84 inference(transitivity,[status(thm)],[22101, 22099])).
% 17.02/11.84 tff(22103,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)) | m_main_v_state1(s275, c_n1))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22104,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22103, 22102])).
% 17.02/11.84 tff(22105,plain,
% 17.02/11.84 (m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22104, 584, 22098])).
% 17.02/11.84 tff(22106,plain,
% 17.02/11.84 (m_main_v_state1(s275, c_n1)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22105, 22087, 22042, 22079, 22075, 22067, 22050])).
% 17.02/11.84 tff(22107,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22108,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s273, c_t2) | (~node15(s273)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22109,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s273, c_t2) | (~node15(s273))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22108, 22107])).
% 17.02/11.84 tff(22110,plain,
% 17.02/11.84 (~node15(s273)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22109, 103, 22019])).
% 17.02/11.84 tff(22111,plain,
% 17.02/11.84 (((~![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))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22112,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s273, s274)) | node18(s273, s274))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22113,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s273, s274)) | node18(s273, s274)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22112, 22111])).
% 17.02/11.84 tff(22114,plain,
% 17.02/11.84 (node18(s273, s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22113, 125, 22030])).
% 17.02/11.84 tff(22115,plain,
% 17.02/11.84 (((~![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(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))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22116,plain,
% 17.02/11.84 (((~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))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22117,plain,
% 17.02/11.84 (((~![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(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)))),
% 17.02/11.84 inference(monotonicity,[status(thm)],[22116])).
% 17.02/11.84 tff(22118,plain,
% 17.02/11.84 (((~![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(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))),
% 17.02/11.84 inference(transitivity,[status(thm)],[22117, 22115])).
% 17.02/11.84 tff(22119,plain,
% 17.02/11.84 ((~![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(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node15(s273) | (~node18(s273, s274)) | m_main_v_turn(s274, c_1))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22120,plain,
% 17.02/11.84 ((~![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(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)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22119, 22118])).
% 17.02/11.84 tff(22121,plain,
% 17.02/11.84 (node15(s273) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22120, 992, 22114])).
% 17.02/11.84 tff(22122,plain,
% 17.02/11.84 (m_main_v_turn(s274, c_1)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22121, 22110, 21947, 22015])).
% 17.02/11.84 tff(22123,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22124,plain,
% 17.02/11.84 ((~![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)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22125,plain,
% 17.02/11.84 ((~![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))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22124, 22123])).
% 17.02/11.84 tff(22126,plain,
% 17.02/11.84 (~m_main_v_turn(s274, c_2)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22125, 156, 22122])).
% 17.02/11.84 tff(22127,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22128,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s274, c_2) | (~node12(s274)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22129,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s274, c_2) | (~node12(s274))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22128, 22127])).
% 17.02/11.84 tff(22130,plain,
% 17.02/11.84 (~node12(s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22129, 184, 22126])).
% 17.02/11.84 tff(22131,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22132,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s274, c_n2) | (~node8(s274)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22133,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s274, c_n2) | (~node8(s274))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22132, 22131])).
% 17.02/11.84 tff(22134,plain,
% 17.02/11.84 (~node8(s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22133, 271, 22063])).
% 17.02/11.84 tff(22135,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22136,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s274, c_n2) | (~node9(s274)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22137,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s274, c_n2) | (~node9(s274))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22136, 22135])).
% 17.02/11.84 tff(22138,plain,
% 17.02/11.84 (~node9(s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22137, 88, 22063])).
% 17.02/11.84 tff(22139,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22140,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s274, c_n2) | (~node10(s274)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22141,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s274, c_n2) | (~node10(s274))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22140, 22139])).
% 17.02/11.84 tff(22142,plain,
% 17.02/11.84 (~node10(s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22141, 249, 22063])).
% 17.02/11.84 tff(22143,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22144,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s274, c_n1) | (~node11(s274)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22145,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s274, c_n1) | (~node11(s274))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22144, 22143])).
% 17.02/11.84 tff(22146,plain,
% 17.02/11.84 (~node11(s274)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22145, 238, 22083])).
% 17.02/11.84 tff(22147,plain,
% 17.02/11.84 (((~![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))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22148,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s274, s275)) | node14(s274, s275))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22149,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s274, s275)) | node14(s274, s275)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22148, 22147])).
% 17.02/11.84 tff(22150,plain,
% 17.02/11.84 (node14(s274, s275)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22149, 46, 22094])).
% 17.02/11.84 tff(22151,plain,
% 17.02/11.84 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22152,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275) | (~node14(s274, s275)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22153,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275) | (~node14(s274, s275))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22152, 22151])).
% 17.02/11.84 tff(22154,plain,
% 17.02/11.84 (m_main_v_state2(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22153, 296, 22150])).
% 17.02/11.84 tff(22155,plain,
% 17.02/11.84 (node13(s274, s275)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22154, 22146, 22071, 22142, 22138, 22134, 22130])).
% 17.02/11.84 tff(22156,plain,
% 17.02/11.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22157,plain,
% 17.02/11.84 (((~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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22158,plain,
% 17.02/11.84 (((~![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))))),
% 17.02/11.84 inference(monotonicity,[status(thm)],[22157])).
% 17.02/11.84 tff(22159,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(transitivity,[status(thm)],[22158, 22156])).
% 17.02/11.84 tff(22160,plain,
% 17.02/11.84 ((~![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))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22161,plain,
% 17.02/11.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22160, 22159])).
% 17.02/11.84 tff(22162,plain,
% 17.02/11.84 (m_main_v_state2(s275, c_t2)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22161, 518, 22059, 22155])).
% 17.02/11.84 tff(22163,plain,
% 17.02/11.84 (succ(s275, s276) <=> succ(s275, s276)),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22164,axiom,(succ(s275, s276)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound276')).
% 17.02/11.84 tff(22165,plain,
% 17.02/11.84 (succ(s275, s276)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22164, 22163])).
% 17.02/11.84 tff(22166,plain,
% 17.02/11.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22167,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22168,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22167, 22166])).
% 17.02/11.84 tff(22169,plain,
% 17.02/11.84 (trans(s275, s276)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22168, 22165, 32])).
% 17.02/11.84 tff(22170,plain,
% 17.02/11.84 (((~![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))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22171,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s275, s276)) | node7(s275, s276))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22172,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s275, s276)) | node7(s275, s276)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22171, 22170])).
% 17.02/11.84 tff(22173,plain,
% 17.02/11.84 (node7(s275, s276)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22172, 206, 22169])).
% 17.02/11.84 tff(22174,plain,
% 17.02/11.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22175,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22176,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22175, 22174])).
% 17.02/11.84 tff(22177,plain,
% 17.02/11.84 ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | m_main_v_state1(s276, c_t1)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22176, 651, 22173])).
% 17.02/11.84 tff(22178,plain,
% 17.02/11.84 (m_main_v_state1(s276, c_t1)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22177, 22162, 22106])).
% 17.02/11.84 tff(22179,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22180,plain,
% 17.02/11.84 ((~![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)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22181,plain,
% 17.02/11.84 ((~![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))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22180, 22179])).
% 17.02/11.84 tff(22182,plain,
% 17.02/11.84 (~m_main_v_state1(s276, c_n1)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22181, 10, 22178])).
% 17.02/11.84 tff(22183,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22184,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s276, c_n1) | (~node1(s276)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22185,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s276, c_n1) | (~node1(s276))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22184, 22183])).
% 17.02/11.84 tff(22186,plain,
% 17.02/11.84 (~node1(s276)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22185, 421, 22182])).
% 17.02/11.84 tff(22187,plain,
% 17.02/11.84 (((~![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))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22188,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s275, s276)) | node18(s275, s276))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22189,plain,
% 17.02/11.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s275, s276)) | node18(s275, s276)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22188, 22187])).
% 17.02/11.84 tff(22190,plain,
% 17.02/11.84 (node18(s275, s276)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22189, 125, 22169])).
% 17.02/11.84 tff(22191,plain,
% 17.02/11.84 (((~![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(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))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22192,plain,
% 17.02/11.84 ((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node18(s275, s276)) | m_main_v_turn(s276, c_2))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22193,plain,
% 17.02/11.84 ((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node18(s275, s276)) | m_main_v_turn(s276, c_2)),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22192, 22191])).
% 17.02/11.84 tff(22194,plain,
% 17.02/11.84 ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | m_main_v_turn(s276, c_2)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22193, 760, 22190])).
% 17.02/11.84 tff(22195,plain,
% 17.02/11.84 (m_main_v_turn(s276, c_2)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22194, 22162, 22106])).
% 17.02/11.84 tff(22196,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22197,plain,
% 17.02/11.84 ((~![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)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22198,plain,
% 17.02/11.84 ((~![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))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22197, 22196])).
% 17.02/11.84 tff(22199,plain,
% 17.02/11.84 (~m_main_v_turn(s276, c_1)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22198, 156, 22195])).
% 17.02/11.84 tff(22200,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22201,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s276, c_1) | (~node5(s276)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22202,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s276, c_1) | (~node5(s276))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22201, 22200])).
% 17.02/11.84 tff(22203,plain,
% 17.02/11.84 (~node5(s276)),
% 17.02/11.84 inference(unit_resolution,[status(thm)],[22202, 776, 22199])).
% 17.02/11.84 tff(22204,plain,
% 17.02/11.84 (((~![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)))),
% 17.02/11.84 inference(rewrite,[status(thm)],[])).
% 17.02/11.84 tff(22205,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s276, c_n1) | (~node2(s276)))),
% 17.02/11.84 inference(quant_inst,[status(thm)],[])).
% 17.02/11.84 tff(22206,plain,
% 17.02/11.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s276, c_n1) | (~node2(s276))),
% 17.02/11.84 inference(modus_ponens,[status(thm)],[22205, 22204])).
% 17.02/11.85 tff(22207,plain,
% 17.02/11.85 (~node2(s276)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22206, 787, 22182])).
% 17.02/11.85 tff(22208,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22209,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s276, c_n1) | (~node3(s276)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22210,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s276, c_n1) | (~node3(s276))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22209, 22208])).
% 17.02/11.85 tff(22211,plain,
% 17.02/11.85 (~node3(s276)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22210, 798, 22182])).
% 17.02/11.85 tff(22212,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22213,plain,
% 17.02/11.85 ((~![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)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22214,plain,
% 17.02/11.85 ((~![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))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22213, 22212])).
% 17.02/11.85 tff(22215,plain,
% 17.02/11.85 (~m_main_v_state1(s276, c_c1)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22214, 539, 22178])).
% 17.02/11.85 tff(22216,plain,
% 17.02/11.85 (((~![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(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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22217,plain,
% 17.02/11.85 (((~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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22218,plain,
% 17.02/11.85 (((~![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))))),
% 17.02/11.85 inference(monotonicity,[status(thm)],[22217])).
% 17.02/11.85 tff(22219,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(transitivity,[status(thm)],[22218, 22216])).
% 17.02/11.85 tff(22220,plain,
% 17.02/11.85 ((~![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)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22221,plain,
% 17.02/11.85 ((~![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(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22220, 22219])).
% 17.02/11.85 tff(22222,plain,
% 17.02/11.85 (~m_main_v_state2(s275, c_n2)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22221, 311, 22063, 22155])).
% 17.02/11.85 tff(22223,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22224,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s275, c_n2) | (~node9(s275)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22225,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s275, c_n2) | (~node9(s275))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22224, 22223])).
% 17.02/11.85 tff(22226,plain,
% 17.02/11.85 (~node9(s275)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22225, 88, 22222])).
% 17.02/11.85 tff(22227,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22228,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s275, c_n2) | (~node10(s275)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22229,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s275, c_n2) | (~node10(s275))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22228, 22227])).
% 17.02/11.85 tff(22230,plain,
% 17.02/11.85 (~node10(s275)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22229, 249, 22222])).
% 17.02/11.85 tff(22231,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22232,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s275, c_n2) | (~node8(s275)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22233,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s275, c_n2) | (~node8(s275))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22232, 22231])).
% 17.02/11.85 tff(22234,plain,
% 17.02/11.85 (~node8(s275)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22233, 271, 22222])).
% 17.02/11.85 tff(22235,plain,
% 17.02/11.85 (((~![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))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22236,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s275, s276)) | node14(s275, s276))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22237,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s275, s276)) | node14(s275, s276)),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22236, 22235])).
% 17.02/11.85 tff(22238,plain,
% 17.02/11.85 (node14(s275, s276)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22237, 46, 22169])).
% 17.02/11.85 tff(22239,plain,
% 17.02/11.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22240,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22241,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22240, 22239])).
% 17.02/11.85 tff(22242,plain,
% 17.02/11.85 ((~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)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22241, 617, 22238])).
% 17.02/11.85 tff(22243,plain,
% 17.02/11.85 (m_main_v_state2(s276, c_c2)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22242, 22234, 22106, 22162, 22230, 22226])).
% 17.02/11.85 tff(22244,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22245,plain,
% 17.02/11.85 ((~![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)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22246,plain,
% 17.02/11.85 ((~![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))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22245, 22244])).
% 17.02/11.85 tff(22247,plain,
% 17.02/11.85 (~m_main_v_state2(s276, c_n2)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22246, 697, 22243])).
% 17.02/11.85 tff(22248,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22249,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s276, c_n2) | (~node4(s276)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22250,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s276, c_n2) | (~node4(s276))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22249, 22248])).
% 17.02/11.85 tff(22251,plain,
% 17.02/11.85 (~node4(s276)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22250, 388, 22247])).
% 17.02/11.85 tff(22252,plain,
% 17.02/11.85 (succ(s276, s277) <=> succ(s276, s277)),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22253,axiom,(succ(s276, s277)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound277')).
% 17.02/11.85 tff(22254,plain,
% 17.02/11.85 (succ(s276, s277)),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22253, 22252])).
% 17.02/11.85 tff(22255,plain,
% 17.02/11.85 (((~![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))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22256,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22257,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277)),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22256, 22255])).
% 17.02/11.85 tff(22258,plain,
% 17.02/11.85 (trans(s276, s277)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22257, 22254, 32])).
% 17.02/11.85 tff(22259,plain,
% 17.02/11.85 (((~![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))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22260,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s276, s277)) | node7(s276, s277))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22261,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s276, s277)) | node7(s276, s277)),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22260, 22259])).
% 17.02/11.85 tff(22262,plain,
% 17.02/11.85 (node7(s276, s277)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22261, 206, 22258])).
% 17.02/11.85 tff(22263,plain,
% 17.02/11.85 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22264,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277) | (~node7(s276, s277)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22265,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277) | (~node7(s276, s277))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22264, 22263])).
% 17.02/11.85 tff(22266,plain,
% 17.02/11.85 (m_main_v_state1(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22265, 820, 22262])).
% 17.02/11.85 tff(22267,plain,
% 17.02/11.85 (node6(s276, s277)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22266, 22251, 22215, 22211, 22207, 22203, 22186])).
% 17.02/11.85 tff(22268,plain,
% 17.02/11.85 (((~![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(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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22269,plain,
% 17.02/11.85 (((~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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22270,plain,
% 17.02/11.85 (((~![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))))),
% 17.02/11.85 inference(monotonicity,[status(thm)],[22269])).
% 17.02/11.85 tff(22271,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(transitivity,[status(thm)],[22270, 22268])).
% 17.02/11.85 tff(22272,plain,
% 17.02/11.85 ((~![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))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22273,plain,
% 17.02/11.85 ((~![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(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22272, 22271])).
% 17.02/11.85 tff(22274,plain,
% 17.02/11.85 (m_main_v_state1(s277, c_t1)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22273, 856, 22178, 22267])).
% 17.02/11.85 tff(22275,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22276,plain,
% 17.02/11.85 ((~![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)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22277,plain,
% 17.02/11.85 ((~![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))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22276, 22275])).
% 17.02/11.85 tff(22278,plain,
% 17.02/11.85 (~m_main_v_state2(s276, c_t2)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22277, 260, 22243])).
% 17.02/11.85 tff(22279,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22280,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s276, c_t2) | (~node12(s276)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22281,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s276, c_t2) | (~node12(s276))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22280, 22279])).
% 17.02/11.85 tff(22282,plain,
% 17.02/11.85 (~node12(s276)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22281, 633, 22278])).
% 17.02/11.85 tff(22283,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22284,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s276, c_n1) | (~node11(s276)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22285,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s276, c_n1) | (~node11(s276))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22284, 22283])).
% 17.02/11.85 tff(22286,plain,
% 17.02/11.85 (~node11(s276)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22285, 238, 22182])).
% 17.02/11.85 tff(22287,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22288,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s276, c_c1) | (~node10(s276)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22289,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s276, c_c1) | (~node10(s276))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22288, 22287])).
% 17.02/11.85 tff(22290,plain,
% 17.02/11.85 (~node10(s276)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22289, 675, 22215])).
% 17.02/11.85 tff(22291,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22292,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s276, c_n1) | (~node9(s276)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22293,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s276, c_n1) | (~node9(s276))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22292, 22291])).
% 17.02/11.85 tff(22294,plain,
% 17.02/11.85 (~node9(s276)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22293, 686, 22182])).
% 17.02/11.85 tff(22295,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22296,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s276, c_n2) | (~node8(s276)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22297,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s276, c_n2) | (~node8(s276))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22296, 22295])).
% 17.02/11.85 tff(22298,plain,
% 17.02/11.85 (~node8(s276)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22297, 271, 22247])).
% 17.02/11.85 tff(22299,plain,
% 17.02/11.85 (((~![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))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22300,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s276, s277)) | node14(s276, s277))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22301,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s276, s277)) | node14(s276, s277)),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22300, 22299])).
% 17.02/11.85 tff(22302,plain,
% 17.02/11.85 (node14(s276, s277)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22301, 46, 22258])).
% 17.02/11.85 tff(22303,plain,
% 17.02/11.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22304,plain,
% 17.02/11.85 (((~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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22305,plain,
% 17.02/11.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 17.02/11.85 inference(monotonicity,[status(thm)],[22304])).
% 17.02/11.85 tff(22306,plain,
% 17.02/11.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 17.02/11.85 inference(transitivity,[status(thm)],[22305, 22303])).
% 17.02/11.85 tff(22307,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s276, c_c2)) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | m_main_v_state2(s277, c_n2))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22308,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22307, 22306])).
% 17.02/11.85 tff(22309,plain,
% 17.02/11.85 (m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~m_main_v_state2(s276, c_c2))),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22308, 726, 22302])).
% 17.02/11.85 tff(22310,plain,
% 17.02/11.85 (m_main_v_state2(s277, c_n2)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22309, 22298, 22243, 22294, 22290, 22286, 22282])).
% 17.02/11.85 tff(22311,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22312,plain,
% 17.02/11.85 ((~![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)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22313,plain,
% 17.02/11.85 ((~![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))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22312, 22311])).
% 17.02/11.85 tff(22314,plain,
% 17.02/11.85 (~m_main_v_state2(s277, c_t2)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22313, 77, 22310])).
% 17.02/11.85 tff(22315,plain,
% 17.02/11.85 (((~![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)))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22316,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s277, c_t2) | (~node15(s277)))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22317,plain,
% 17.02/11.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s277, c_t2) | (~node15(s277))),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22316, 22315])).
% 17.02/11.85 tff(22318,plain,
% 17.02/11.85 (~node15(s277)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22317, 103, 22314])).
% 17.02/11.85 tff(22319,plain,
% 17.02/11.85 (succ(s277, s278) <=> succ(s277, s278)),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22320,axiom,(succ(s277, s278)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound278')).
% 17.02/11.85 tff(22321,plain,
% 17.02/11.85 (succ(s277, s278)),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22320, 22319])).
% 17.02/11.85 tff(22322,plain,
% 17.02/11.85 (((~![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))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22323,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22324,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278)),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22323, 22322])).
% 17.02/11.85 tff(22325,plain,
% 17.02/11.85 (trans(s277, s278)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22324, 22321, 32])).
% 17.02/11.85 tff(22326,plain,
% 17.02/11.85 (((~![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))),
% 17.02/11.85 inference(rewrite,[status(thm)],[])).
% 17.02/11.85 tff(22327,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s277, s278)) | node18(s277, s278))),
% 17.02/11.85 inference(quant_inst,[status(thm)],[])).
% 17.02/11.85 tff(22328,plain,
% 17.02/11.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s277, s278)) | node18(s277, s278)),
% 17.02/11.85 inference(modus_ponens,[status(thm)],[22327, 22326])).
% 17.02/11.85 tff(22329,plain,
% 17.02/11.85 (node18(s277, s278)),
% 17.02/11.85 inference(unit_resolution,[status(thm)],[22328, 125, 22325])).
% 17.02/11.85 tff(22330,plain,
% 17.02/11.85 (((~![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(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))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22331,plain,
% 17.02/11.86 (((~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))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22332,plain,
% 17.02/11.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~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)))),
% 17.02/11.86 inference(monotonicity,[status(thm)],[22331])).
% 17.02/11.86 tff(22333,plain,
% 17.02/11.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~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))),
% 17.02/11.86 inference(transitivity,[status(thm)],[22332, 22330])).
% 17.02/11.86 tff(22334,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~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))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22335,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22334, 22333])).
% 17.02/11.86 tff(22336,plain,
% 17.02/11.86 (node15(s277) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22335, 992, 22329])).
% 17.02/11.86 tff(22337,plain,
% 17.02/11.86 (m_main_v_turn(s278, c_1)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22336, 22318, 22310, 22274])).
% 17.02/11.86 tff(22338,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22339,plain,
% 17.02/11.86 ((~![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)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22340,plain,
% 17.02/11.86 ((~![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))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22339, 22338])).
% 17.02/11.86 tff(22341,plain,
% 17.02/11.86 (~m_main_v_turn(s278, c_2)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22340, 156, 22337])).
% 17.02/11.86 tff(22342,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22343,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s278, c_2) | (~node12(s278)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22344,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s278, c_2) | (~node12(s278))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22343, 22342])).
% 17.02/11.86 tff(22345,plain,
% 17.02/11.86 (~node12(s278)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22344, 184, 22341])).
% 17.02/11.86 tff(22346,plain,
% 17.02/11.86 (((~![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))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22347,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s277, s278)) | node14(s277, s278))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22348,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s277, s278)) | node14(s277, s278)),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22347, 22346])).
% 17.02/11.86 tff(22349,plain,
% 17.02/11.86 (node14(s277, s278)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22348, 46, 22325])).
% 17.02/11.86 tff(22350,plain,
% 17.02/11.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22351,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | (~node14(s277, s278)) | m_main_v_state2(s278, c_t2))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22352,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | (~node14(s277, s278)) | m_main_v_state2(s278, c_t2)),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22351, 22350])).
% 17.02/11.86 tff(22353,plain,
% 17.02/11.86 ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state2(s278, c_t2)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22352, 922, 22349])).
% 17.02/11.86 tff(22354,plain,
% 17.02/11.86 (m_main_v_state2(s278, c_t2)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22353, 22274, 22310])).
% 17.02/11.86 tff(22355,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22356,plain,
% 17.02/11.86 ((~![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)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22357,plain,
% 17.02/11.86 ((~![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))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22356, 22355])).
% 17.02/11.86 tff(22358,plain,
% 17.02/11.86 (~m_main_v_state2(s278, c_n2)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22357, 77, 22354])).
% 17.02/11.86 tff(22359,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22360,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s278, c_n2) | (~node8(s278)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22361,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s278, c_n2) | (~node8(s278))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22360, 22359])).
% 17.02/11.86 tff(22362,plain,
% 17.02/11.86 (~node8(s278)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22361, 271, 22358])).
% 17.02/11.86 tff(22363,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22364,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s278, c_n2) | (~node9(s278)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22365,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s278, c_n2) | (~node9(s278))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22364, 22363])).
% 17.02/11.86 tff(22366,plain,
% 17.02/11.86 (~node9(s278)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22365, 88, 22358])).
% 17.02/11.86 tff(22367,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22368,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s278, c_n2) | (~node10(s278)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22369,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s278, c_n2) | (~node10(s278))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22368, 22367])).
% 17.02/11.86 tff(22370,plain,
% 17.02/11.86 (~node10(s278)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22369, 249, 22358])).
% 17.02/11.86 tff(22371,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22372,plain,
% 17.02/11.86 ((~![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)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22373,plain,
% 17.02/11.86 ((~![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))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22372, 22371])).
% 17.02/11.86 tff(22374,plain,
% 17.02/11.86 (~m_main_v_state2(s278, c_c2)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22373, 260, 22354])).
% 17.02/11.86 tff(22375,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22376,plain,
% 17.02/11.86 ((~![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)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22377,plain,
% 17.02/11.86 ((~![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))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22376, 22375])).
% 17.02/11.86 tff(22378,plain,
% 17.02/11.86 (~m_main_v_state2(s277, c_c2)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22377, 697, 22310])).
% 17.02/11.86 tff(22379,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22380,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s277, c_c2) | (~node3(s277)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22381,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s277, c_c2) | (~node3(s277))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22380, 22379])).
% 17.02/11.86 tff(22382,plain,
% 17.02/11.86 (~node3(s277)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22381, 399, 22378])).
% 17.02/11.86 tff(22383,plain,
% 17.02/11.86 (((~![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(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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22384,plain,
% 17.02/11.86 (((~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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22385,plain,
% 17.02/11.86 (((~![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))))),
% 17.02/11.86 inference(monotonicity,[status(thm)],[22384])).
% 17.02/11.86 tff(22386,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(transitivity,[status(thm)],[22385, 22383])).
% 17.02/11.86 tff(22387,plain,
% 17.02/11.86 ((~![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)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22388,plain,
% 17.02/11.86 ((~![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(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22387, 22386])).
% 17.02/11.86 tff(22389,plain,
% 17.02/11.86 (~m_main_v_state1(s277, c_n1)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22388, 835, 22182, 22267])).
% 17.02/11.86 tff(22390,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22391,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s277, c_n1) | (~node2(s277)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22392,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s277, c_n1) | (~node2(s277))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22391, 22390])).
% 17.02/11.86 tff(22393,plain,
% 17.02/11.86 (~node2(s277)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22392, 787, 22389])).
% 17.02/11.86 tff(22394,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22395,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s277, c_t2) | (~node1(s277)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22396,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s277, c_t2) | (~node1(s277))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22395, 22394])).
% 17.02/11.86 tff(22397,plain,
% 17.02/11.86 (~node1(s277)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22396, 195, 22314])).
% 17.02/11.86 tff(22398,plain,
% 17.02/11.86 (((~![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))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22399,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s277, s278)) | node7(s277, s278))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22400,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s277, s278)) | node7(s277, s278)),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22399, 22398])).
% 17.02/11.86 tff(22401,plain,
% 17.02/11.86 (node7(s277, s278)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22400, 206, 22325])).
% 17.02/11.86 tff(22402,plain,
% 17.02/11.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22403,plain,
% 17.02/11.86 (((~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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22404,plain,
% 17.02/11.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 17.02/11.86 inference(monotonicity,[status(thm)],[22403])).
% 17.02/11.86 tff(22405,plain,
% 17.02/11.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 17.02/11.86 inference(transitivity,[status(thm)],[22404, 22402])).
% 17.02/11.86 tff(22406,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22407,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22406, 22405])).
% 17.02/11.86 tff(22408,plain,
% 17.02/11.86 ((~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)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22407, 892, 22401])).
% 17.02/11.86 tff(22409,plain,
% 17.02/11.86 (m_main_v_state1(s278, c_c1)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22408, 22397, 22310, 22274, 22393, 22382])).
% 17.02/11.86 tff(22410,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22411,plain,
% 17.02/11.86 ((~![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)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22412,plain,
% 17.02/11.86 ((~![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))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22411, 22410])).
% 17.02/11.86 tff(22413,plain,
% 17.02/11.86 (~m_main_v_state1(s278, c_n1)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22412, 454, 22409])).
% 17.02/11.86 tff(22414,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22415,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s278, c_n1) | (~node11(s278)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22416,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s278, c_n1) | (~node11(s278))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22415, 22414])).
% 17.02/11.86 tff(22417,plain,
% 17.02/11.86 (~node11(s278)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22416, 238, 22413])).
% 17.02/11.86 tff(22418,plain,
% 17.02/11.86 (succ(s278, s279) <=> succ(s278, s279)),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22419,axiom,(succ(s278, s279)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound279')).
% 17.02/11.86 tff(22420,plain,
% 17.02/11.86 (succ(s278, s279)),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22419, 22418])).
% 17.02/11.86 tff(22421,plain,
% 17.02/11.86 (((~![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))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22422,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22423,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279)),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22422, 22421])).
% 17.02/11.86 tff(22424,plain,
% 17.02/11.86 (trans(s278, s279)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22423, 22420, 32])).
% 17.02/11.86 tff(22425,plain,
% 17.02/11.86 (((~![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))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22426,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s278, s279)) | node14(s278, s279))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22427,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s278, s279)) | node14(s278, s279)),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22426, 22425])).
% 17.02/11.86 tff(22428,plain,
% 17.02/11.86 (node14(s278, s279)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22427, 46, 22424])).
% 17.02/11.86 tff(22429,plain,
% 17.02/11.86 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22430,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22431,plain,
% 17.02/11.86 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22430, 22429])).
% 17.02/11.86 tff(22432,plain,
% 17.02/11.86 (m_main_v_state2(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22431, 296, 22428])).
% 17.02/11.86 tff(22433,plain,
% 17.02/11.86 (node13(s278, s279)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22432, 22417, 22374, 22370, 22366, 22362, 22345])).
% 17.02/11.86 tff(22434,plain,
% 17.02/11.86 (((~![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(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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22435,plain,
% 17.02/11.86 (((~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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22436,plain,
% 17.02/11.86 (((~![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))))),
% 17.02/11.86 inference(monotonicity,[status(thm)],[22435])).
% 17.02/11.86 tff(22437,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(transitivity,[status(thm)],[22436, 22434])).
% 17.02/11.86 tff(22438,plain,
% 17.02/11.86 ((~![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)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22439,plain,
% 17.02/11.86 ((~![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(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22438, 22437])).
% 17.02/11.86 tff(22440,plain,
% 17.02/11.86 (~m_main_v_state2(s279, c_n2)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22439, 311, 22358, 22433])).
% 17.02/11.86 tff(22441,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22442,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s279, c_n2) | (~node9(s279)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22443,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s279, c_n2) | (~node9(s279))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22442, 22441])).
% 17.02/11.86 tff(22444,plain,
% 17.02/11.86 (~node9(s279)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22443, 88, 22440])).
% 17.02/11.86 tff(22445,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22446,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s279, c_n2) | (~node10(s279)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22447,plain,
% 17.02/11.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s279, c_n2) | (~node10(s279))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22446, 22445])).
% 17.02/11.86 tff(22448,plain,
% 17.02/11.86 (~node10(s279)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22447, 249, 22440])).
% 17.02/11.86 tff(22449,plain,
% 17.02/11.86 (((~![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(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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22450,plain,
% 17.02/11.86 (((~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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22451,plain,
% 17.02/11.86 (((~![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))))),
% 17.02/11.86 inference(monotonicity,[status(thm)],[22450])).
% 17.02/11.86 tff(22452,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(transitivity,[status(thm)],[22451, 22449])).
% 17.02/11.86 tff(22453,plain,
% 17.02/11.86 ((~![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))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22454,plain,
% 17.02/11.86 ((~![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(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22453, 22452])).
% 17.02/11.86 tff(22455,plain,
% 17.02/11.86 (m_main_v_state2(s279, c_t2)),
% 17.02/11.86 inference(unit_resolution,[status(thm)],[22454, 518, 22354, 22433])).
% 17.02/11.86 tff(22456,plain,
% 17.02/11.86 (((~![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)))),
% 17.02/11.86 inference(rewrite,[status(thm)],[])).
% 17.02/11.86 tff(22457,plain,
% 17.02/11.86 ((~![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)))),
% 17.02/11.86 inference(quant_inst,[status(thm)],[])).
% 17.02/11.86 tff(22458,plain,
% 17.02/11.86 ((~![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))),
% 17.02/11.86 inference(modus_ponens,[status(thm)],[22457, 22456])).
% 17.02/11.87 tff(22459,plain,
% 17.02/11.87 (~m_main_v_state1(s278, c_t1)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22458, 539, 22409])).
% 17.02/11.87 tff(22460,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22461,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s278, c_t1) | (~node5(s278)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22462,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s278, c_t1) | (~node5(s278))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22461, 22460])).
% 17.02/11.87 tff(22463,plain,
% 17.02/11.87 (~node5(s278)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22462, 550, 22459])).
% 17.02/11.87 tff(22464,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22465,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s278, c_n2) | (~node4(s278)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22466,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s278, c_n2) | (~node4(s278))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22465, 22464])).
% 17.02/11.87 tff(22467,plain,
% 17.02/11.87 (~node4(s278)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22466, 388, 22358])).
% 17.02/11.87 tff(22468,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22469,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s278, c_c2) | (~node3(s278)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22470,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s278, c_c2) | (~node3(s278))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22469, 22468])).
% 17.02/11.87 tff(22471,plain,
% 17.02/11.87 (~node3(s278)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22470, 399, 22374])).
% 17.02/11.87 tff(22472,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22473,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s278, c_n2) | (~node2(s278)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22474,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s278, c_n2) | (~node2(s278))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22473, 22472])).
% 17.02/11.87 tff(22475,plain,
% 17.02/11.87 (~node2(s278)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22474, 410, 22358])).
% 17.02/11.87 tff(22476,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22477,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s278, c_n1) | (~node1(s278)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22478,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s278, c_n1) | (~node1(s278))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22477, 22476])).
% 17.02/11.87 tff(22479,plain,
% 17.02/11.87 (~node1(s278)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22478, 421, 22413])).
% 17.02/11.87 tff(22480,plain,
% 17.02/11.87 (((~![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))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22481,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s278, s279)) | node7(s278, s279))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22482,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s278, s279)) | node7(s278, s279)),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22481, 22480])).
% 17.02/11.87 tff(22483,plain,
% 17.02/11.87 (node7(s278, s279)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22482, 206, 22424])).
% 17.02/11.87 tff(22484,plain,
% 17.02/11.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22485,plain,
% 17.02/11.87 (((~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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22486,plain,
% 17.02/11.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 17.02/11.87 inference(monotonicity,[status(thm)],[22485])).
% 17.02/11.87 tff(22487,plain,
% 17.02/11.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 17.02/11.87 inference(transitivity,[status(thm)],[22486, 22484])).
% 17.02/11.87 tff(22488,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22489,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22488, 22487])).
% 17.02/11.87 tff(22490,plain,
% 17.02/11.87 (m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22489, 584, 22483])).
% 17.02/11.87 tff(22491,plain,
% 17.02/11.87 (m_main_v_state1(s279, c_n1)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22490, 22479, 22409, 22475, 22471, 22467, 22463])).
% 17.02/11.87 tff(22492,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22493,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s279, c_n2) | (~node8(s279)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22494,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s279, c_n2) | (~node8(s279))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22493, 22492])).
% 17.02/11.87 tff(22495,plain,
% 17.02/11.87 (~node8(s279)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22494, 271, 22440])).
% 17.02/11.87 tff(22496,plain,
% 17.02/11.87 (succ(s279, s280) <=> succ(s279, s280)),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22497,axiom,(succ(s279, s280)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound280')).
% 17.02/11.87 tff(22498,plain,
% 17.02/11.87 (succ(s279, s280)),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22497, 22496])).
% 17.02/11.87 tff(22499,plain,
% 17.02/11.87 (((~![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))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22500,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22501,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280)),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22500, 22499])).
% 17.02/11.87 tff(22502,plain,
% 17.02/11.87 (trans(s279, s280)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22501, 22498, 32])).
% 17.02/11.87 tff(22503,plain,
% 17.02/11.87 (((~![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))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22504,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s279, s280)) | node14(s279, s280))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22505,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s279, s280)) | node14(s279, s280)),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22504, 22503])).
% 17.02/11.87 tff(22506,plain,
% 17.02/11.87 (node14(s279, s280)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22505, 46, 22502])).
% 17.02/11.87 tff(22507,plain,
% 17.02/11.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22508,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22509,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22508, 22507])).
% 17.02/11.87 tff(22510,plain,
% 17.02/11.87 ((~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)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22509, 617, 22506])).
% 17.02/11.87 tff(22511,plain,
% 17.02/11.87 (m_main_v_state2(s280, c_c2)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22510, 22495, 22491, 22455, 22448, 22444])).
% 17.02/11.87 tff(22512,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22513,plain,
% 17.02/11.87 ((~![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)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22514,plain,
% 17.02/11.87 ((~![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))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22513, 22512])).
% 17.02/11.87 tff(22515,plain,
% 17.02/11.87 (~m_main_v_state2(s280, c_t2)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22514, 260, 22511])).
% 17.02/11.87 tff(22516,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22517,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s280, c_t2) | (~node12(s280)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22518,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s280, c_t2) | (~node12(s280))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22517, 22516])).
% 17.02/11.87 tff(22519,plain,
% 17.02/11.87 (~node12(s280)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22518, 633, 22515])).
% 17.02/11.87 tff(22520,plain,
% 17.02/11.87 (((~![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))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22521,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s279, s280)) | node7(s279, s280))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22522,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s279, s280)) | node7(s279, s280)),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22521, 22520])).
% 17.02/11.87 tff(22523,plain,
% 17.02/11.87 (node7(s279, s280)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22522, 206, 22502])).
% 17.02/11.87 tff(22524,plain,
% 17.02/11.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22525,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node7(s279, s280)) | m_main_v_state1(s280, c_t1))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22526,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node7(s279, s280)) | m_main_v_state1(s280, c_t1)),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22525, 22524])).
% 17.02/11.87 tff(22527,plain,
% 17.02/11.87 ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | m_main_v_state1(s280, c_t1)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22526, 651, 22523])).
% 17.02/11.87 tff(22528,plain,
% 17.02/11.87 (m_main_v_state1(s280, c_t1)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22527, 22455, 22491])).
% 17.02/11.87 tff(22529,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22530,plain,
% 17.02/11.87 ((~![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)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22531,plain,
% 17.02/11.87 ((~![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))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22530, 22529])).
% 17.02/11.87 tff(22532,plain,
% 17.02/11.87 (~m_main_v_state1(s280, c_n1)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22531, 10, 22528])).
% 17.02/11.87 tff(22533,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22534,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s280, c_n1) | (~node11(s280)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22535,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s280, c_n1) | (~node11(s280))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22534, 22533])).
% 17.02/11.87 tff(22536,plain,
% 17.02/11.87 (~node11(s280)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22535, 238, 22532])).
% 17.02/11.87 tff(22537,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22538,plain,
% 17.02/11.87 ((~![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)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22539,plain,
% 17.02/11.87 ((~![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))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22538, 22537])).
% 17.02/11.87 tff(22540,plain,
% 17.02/11.87 (~m_main_v_state1(s280, c_c1)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22539, 539, 22528])).
% 17.02/11.87 tff(22541,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22542,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s280, c_c1) | (~node10(s280)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22543,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s280, c_c1) | (~node10(s280))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22542, 22541])).
% 17.02/11.87 tff(22544,plain,
% 17.02/11.87 (~node10(s280)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22543, 675, 22540])).
% 17.02/11.87 tff(22545,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22546,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s280, c_n1) | (~node9(s280)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22547,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s280, c_n1) | (~node9(s280))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22546, 22545])).
% 17.02/11.87 tff(22548,plain,
% 17.02/11.87 (~node9(s280)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22547, 686, 22532])).
% 17.02/11.87 tff(22549,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22550,plain,
% 17.02/11.87 ((~![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)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22551,plain,
% 17.02/11.87 ((~![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))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22550, 22549])).
% 17.02/11.87 tff(22552,plain,
% 17.02/11.87 (~m_main_v_state2(s280, c_n2)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22551, 697, 22511])).
% 17.02/11.87 tff(22553,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22554,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s280, c_n2) | (~node8(s280)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22555,plain,
% 17.02/11.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s280, c_n2) | (~node8(s280))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22554, 22553])).
% 17.02/11.87 tff(22556,plain,
% 17.02/11.87 (~node8(s280)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22555, 271, 22552])).
% 17.02/11.87 tff(22557,plain,
% 17.02/11.87 (succ(s280, s281) <=> succ(s280, s281)),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22558,axiom,(succ(s280, s281)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound281')).
% 17.02/11.87 tff(22559,plain,
% 17.02/11.87 (succ(s280, s281)),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22558, 22557])).
% 17.02/11.87 tff(22560,plain,
% 17.02/11.87 (((~![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))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22561,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22562,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281)),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22561, 22560])).
% 17.02/11.87 tff(22563,plain,
% 17.02/11.87 (trans(s280, s281)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22562, 22559, 32])).
% 17.02/11.87 tff(22564,plain,
% 17.02/11.87 (((~![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))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22565,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s280, s281)) | node14(s280, s281))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22566,plain,
% 17.02/11.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s280, s281)) | node14(s280, s281)),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22565, 22564])).
% 17.02/11.87 tff(22567,plain,
% 17.02/11.87 (node14(s280, s281)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22566, 46, 22563])).
% 17.02/11.87 tff(22568,plain,
% 17.02/11.87 (((~![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(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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22569,plain,
% 17.02/11.87 (((~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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22570,plain,
% 17.02/11.87 (((~![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(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))))),
% 17.02/11.87 inference(monotonicity,[status(thm)],[22569])).
% 17.02/11.87 tff(22571,plain,
% 17.02/11.87 (((~![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(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)))),
% 17.02/11.87 inference(transitivity,[status(thm)],[22570, 22568])).
% 17.02/11.87 tff(22572,plain,
% 17.02/11.87 ((~![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(s280, c_c2)) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | m_main_v_state2(s281, c_n2))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22573,plain,
% 17.02/11.87 ((~![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(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22572, 22571])).
% 17.02/11.87 tff(22574,plain,
% 17.02/11.87 (m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~m_main_v_state2(s280, c_c2))),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22573, 726, 22567])).
% 17.02/11.87 tff(22575,plain,
% 17.02/11.87 (m_main_v_state2(s281, c_n2)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22574, 22556, 22511, 22548, 22544, 22536, 22519])).
% 17.02/11.87 tff(22576,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.87 inference(rewrite,[status(thm)],[])).
% 17.02/11.87 tff(22577,plain,
% 17.02/11.87 ((~![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)))),
% 17.02/11.87 inference(quant_inst,[status(thm)],[])).
% 17.02/11.87 tff(22578,plain,
% 17.02/11.87 ((~![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))),
% 17.02/11.87 inference(modus_ponens,[status(thm)],[22577, 22576])).
% 17.02/11.87 tff(22579,plain,
% 17.02/11.87 (~m_main_v_state2(s281, c_c2)),
% 17.02/11.87 inference(unit_resolution,[status(thm)],[22578, 697, 22575])).
% 17.02/11.87 tff(22580,plain,
% 17.02/11.87 (((~![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)))),
% 17.02/11.88 inference(rewrite,[status(thm)],[])).
% 17.02/11.88 tff(22581,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s281, c_c2) | (~node3(s281)))),
% 17.02/11.88 inference(quant_inst,[status(thm)],[])).
% 17.02/11.88 tff(22582,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s281, c_c2) | (~node3(s281))),
% 17.02/11.88 inference(modus_ponens,[status(thm)],[22581, 22580])).
% 17.02/11.88 tff(22583,plain,
% 17.02/11.88 (~node3(s281)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22582, 399, 22579])).
% 17.02/11.88 tff(22584,plain,
% 17.02/11.88 (((~![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)))),
% 17.02/11.88 inference(rewrite,[status(thm)],[])).
% 17.02/11.88 tff(22585,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s280, c_n1) | (~node1(s280)))),
% 17.02/11.88 inference(quant_inst,[status(thm)],[])).
% 17.02/11.88 tff(22586,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s280, c_n1) | (~node1(s280))),
% 17.02/11.88 inference(modus_ponens,[status(thm)],[22585, 22584])).
% 17.02/11.88 tff(22587,plain,
% 17.02/11.88 (~node1(s280)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22586, 421, 22532])).
% 17.02/11.88 tff(22588,plain,
% 17.02/11.88 (((~![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))),
% 17.02/11.88 inference(rewrite,[status(thm)],[])).
% 17.02/11.88 tff(22589,plain,
% 17.02/11.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s279, s280)) | node18(s279, s280))),
% 17.02/11.88 inference(quant_inst,[status(thm)],[])).
% 17.02/11.88 tff(22590,plain,
% 17.02/11.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s279, s280)) | node18(s279, s280)),
% 17.02/11.88 inference(modus_ponens,[status(thm)],[22589, 22588])).
% 17.02/11.88 tff(22591,plain,
% 17.02/11.88 (node18(s279, s280)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22590, 125, 22502])).
% 17.02/11.88 tff(22592,plain,
% 17.02/11.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 17.02/11.88 inference(rewrite,[status(thm)],[])).
% 17.02/11.88 tff(22593,plain,
% 17.02/11.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 17.02/11.88 inference(quant_inst,[status(thm)],[])).
% 17.02/11.88 tff(22594,plain,
% 17.02/11.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 17.02/11.88 inference(modus_ponens,[status(thm)],[22593, 22592])).
% 17.02/11.88 tff(22595,plain,
% 17.02/11.88 ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | m_main_v_turn(s280, c_2)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22594, 760, 22591])).
% 17.02/11.88 tff(22596,plain,
% 17.02/11.88 (m_main_v_turn(s280, c_2)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22595, 22455, 22491])).
% 17.02/11.88 tff(22597,plain,
% 17.02/11.88 (((~![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)))),
% 17.02/11.88 inference(rewrite,[status(thm)],[])).
% 17.02/11.88 tff(22598,plain,
% 17.02/11.88 ((~![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)))),
% 17.02/11.88 inference(quant_inst,[status(thm)],[])).
% 17.02/11.88 tff(22599,plain,
% 17.02/11.88 ((~![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))),
% 17.02/11.88 inference(modus_ponens,[status(thm)],[22598, 22597])).
% 17.02/11.88 tff(22600,plain,
% 17.02/11.88 (~m_main_v_turn(s280, c_1)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22599, 156, 22596])).
% 17.02/11.88 tff(22601,plain,
% 17.02/11.88 (((~![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)))),
% 17.02/11.88 inference(rewrite,[status(thm)],[])).
% 17.02/11.88 tff(22602,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s280, c_1) | (~node5(s280)))),
% 17.02/11.88 inference(quant_inst,[status(thm)],[])).
% 17.02/11.88 tff(22603,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s280, c_1) | (~node5(s280))),
% 17.02/11.88 inference(modus_ponens,[status(thm)],[22602, 22601])).
% 17.02/11.88 tff(22604,plain,
% 17.02/11.88 (~node5(s280)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22603, 776, 22600])).
% 17.02/11.88 tff(22605,plain,
% 17.02/11.88 (((~![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)))),
% 17.02/11.88 inference(rewrite,[status(thm)],[])).
% 17.02/11.88 tff(22606,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s280, c_n1) | (~node2(s280)))),
% 17.02/11.88 inference(quant_inst,[status(thm)],[])).
% 17.02/11.88 tff(22607,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s280, c_n1) | (~node2(s280))),
% 17.02/11.88 inference(modus_ponens,[status(thm)],[22606, 22605])).
% 17.02/11.88 tff(22608,plain,
% 17.02/11.88 (~node2(s280)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22607, 787, 22532])).
% 17.02/11.88 tff(22609,plain,
% 17.02/11.88 (((~![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)))),
% 17.02/11.88 inference(rewrite,[status(thm)],[])).
% 17.02/11.88 tff(22610,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s280, c_n1) | (~node3(s280)))),
% 17.02/11.88 inference(quant_inst,[status(thm)],[])).
% 17.02/11.88 tff(22611,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s280, c_n1) | (~node3(s280))),
% 17.02/11.88 inference(modus_ponens,[status(thm)],[22610, 22609])).
% 17.02/11.88 tff(22612,plain,
% 17.02/11.88 (~node3(s280)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22611, 798, 22532])).
% 17.02/11.88 tff(22613,plain,
% 17.02/11.88 (((~![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)))),
% 17.02/11.88 inference(rewrite,[status(thm)],[])).
% 17.02/11.88 tff(22614,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s280, c_n2) | (~node4(s280)))),
% 17.02/11.88 inference(quant_inst,[status(thm)],[])).
% 17.02/11.88 tff(22615,plain,
% 17.02/11.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s280, c_n2) | (~node4(s280))),
% 17.02/11.88 inference(modus_ponens,[status(thm)],[22614, 22613])).
% 17.02/11.88 tff(22616,plain,
% 17.02/11.88 (~node4(s280)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22615, 388, 22552])).
% 17.02/11.88 tff(22617,plain,
% 17.02/11.88 (((~![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))),
% 17.02/11.88 inference(rewrite,[status(thm)],[])).
% 17.02/11.88 tff(22618,plain,
% 17.02/11.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s280, s281)) | node7(s280, s281))),
% 17.02/11.88 inference(quant_inst,[status(thm)],[])).
% 17.02/11.88 tff(22619,plain,
% 17.02/11.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s280, s281)) | node7(s280, s281)),
% 17.02/11.88 inference(modus_ponens,[status(thm)],[22618, 22617])).
% 17.02/11.88 tff(22620,plain,
% 17.02/11.88 (node7(s280, s281)),
% 17.02/11.88 inference(unit_resolution,[status(thm)],[22619, 206, 22563])).
% 17.02/11.88 tff(22621,plain,
% 17.02/11.88 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22622,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281) | (~node7(s280, s281)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22623,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281) | (~node7(s280, s281))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22622, 22621])).
% 17.08/11.88 tff(22624,plain,
% 17.08/11.88 (m_main_v_state1(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22623, 820, 22620])).
% 17.08/11.88 tff(22625,plain,
% 17.08/11.88 (node6(s280, s281)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22624, 22616, 22540, 22612, 22608, 22604, 22587])).
% 17.08/11.88 tff(22626,plain,
% 17.08/11.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22627,plain,
% 17.08/11.88 (((~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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22628,plain,
% 17.08/11.88 (((~![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))))),
% 17.08/11.88 inference(monotonicity,[status(thm)],[22627])).
% 17.08/11.88 tff(22629,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(transitivity,[status(thm)],[22628, 22626])).
% 17.08/11.88 tff(22630,plain,
% 17.08/11.88 ((~![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)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22631,plain,
% 17.08/11.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22630, 22629])).
% 17.08/11.88 tff(22632,plain,
% 17.08/11.88 (~m_main_v_state1(s281, c_n1)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22631, 835, 22532, 22625])).
% 17.08/11.88 tff(22633,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22634,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s281, c_n1) | (~node2(s281)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22635,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s281, c_n1) | (~node2(s281))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22634, 22633])).
% 17.08/11.88 tff(22636,plain,
% 17.08/11.88 (~node2(s281)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22635, 787, 22632])).
% 17.08/11.88 tff(22637,plain,
% 17.08/11.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22638,plain,
% 17.08/11.88 (((~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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22639,plain,
% 17.08/11.88 (((~![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))))),
% 17.08/11.88 inference(monotonicity,[status(thm)],[22638])).
% 17.08/11.88 tff(22640,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(transitivity,[status(thm)],[22639, 22637])).
% 17.08/11.88 tff(22641,plain,
% 17.08/11.88 ((~![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))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22642,plain,
% 17.08/11.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22641, 22640])).
% 17.08/11.88 tff(22643,plain,
% 17.08/11.88 (m_main_v_state1(s281, c_t1)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22642, 856, 22528, 22625])).
% 17.08/11.88 tff(22644,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22645,plain,
% 17.08/11.88 ((~![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)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22646,plain,
% 17.08/11.88 ((~![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))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22645, 22644])).
% 17.08/11.88 tff(22647,plain,
% 17.08/11.88 (~m_main_v_state2(s281, c_t2)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22646, 77, 22575])).
% 17.08/11.88 tff(22648,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22649,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s281, c_t2) | (~node1(s281)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22650,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s281, c_t2) | (~node1(s281))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22649, 22648])).
% 17.08/11.88 tff(22651,plain,
% 17.08/11.88 (~node1(s281)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22650, 195, 22647])).
% 17.08/11.88 tff(22652,plain,
% 17.08/11.88 (succ(s281, s282) <=> succ(s281, s282)),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22653,axiom,(succ(s281, s282)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound282')).
% 17.08/11.88 tff(22654,plain,
% 17.08/11.88 (succ(s281, s282)),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22653, 22652])).
% 17.08/11.88 tff(22655,plain,
% 17.08/11.88 (((~![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))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22656,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22657,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282)),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22656, 22655])).
% 17.08/11.88 tff(22658,plain,
% 17.08/11.88 (trans(s281, s282)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22657, 22654, 32])).
% 17.08/11.88 tff(22659,plain,
% 17.08/11.88 (((~![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))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22660,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s281, s282)) | node7(s281, s282))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22661,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s281, s282)) | node7(s281, s282)),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22660, 22659])).
% 17.08/11.88 tff(22662,plain,
% 17.08/11.88 (node7(s281, s282)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22661, 206, 22658])).
% 17.08/11.88 tff(22663,plain,
% 17.08/11.88 (((~![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(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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22664,plain,
% 17.08/11.88 (((~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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22665,plain,
% 17.08/11.88 (((~![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(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))))),
% 17.08/11.88 inference(monotonicity,[status(thm)],[22664])).
% 17.08/11.88 tff(22666,plain,
% 17.08/11.88 (((~![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(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)))),
% 17.08/11.88 inference(transitivity,[status(thm)],[22665, 22663])).
% 17.08/11.88 tff(22667,plain,
% 17.08/11.88 ((~![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(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))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22668,plain,
% 17.08/11.88 ((~![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(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))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22667, 22666])).
% 17.08/11.88 tff(22669,plain,
% 17.08/11.88 ((~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)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22668, 892, 22662])).
% 17.08/11.88 tff(22670,plain,
% 17.08/11.88 (m_main_v_state1(s282, c_c1)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22669, 22651, 22575, 22643, 22636, 22583])).
% 17.08/11.88 tff(22671,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22672,plain,
% 17.08/11.88 ((~![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)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22673,plain,
% 17.08/11.88 ((~![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))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22672, 22671])).
% 17.08/11.88 tff(22674,plain,
% 17.08/11.88 (~m_main_v_state1(s282, c_t1)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22673, 539, 22670])).
% 17.08/11.88 tff(22675,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22676,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s282, c_t1) | (~node5(s282)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22677,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s282, c_t1) | (~node5(s282))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22676, 22675])).
% 17.08/11.88 tff(22678,plain,
% 17.08/11.88 (~node5(s282)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22677, 550, 22674])).
% 17.08/11.88 tff(22679,plain,
% 17.08/11.88 (((~![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))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22680,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s281, s282)) | node14(s281, s282))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22681,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s281, s282)) | node14(s281, s282)),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22680, 22679])).
% 17.08/11.88 tff(22682,plain,
% 17.08/11.88 (node14(s281, s282)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22681, 46, 22658])).
% 17.08/11.88 tff(22683,plain,
% 17.08/11.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22684,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | (~node14(s281, s282)) | m_main_v_state2(s282, c_t2))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22685,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | (~node14(s281, s282)) | m_main_v_state2(s282, c_t2)),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22684, 22683])).
% 17.08/11.88 tff(22686,plain,
% 17.08/11.88 ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state2(s282, c_t2)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22685, 922, 22682])).
% 17.08/11.88 tff(22687,plain,
% 17.08/11.88 (m_main_v_state2(s282, c_t2)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22686, 22643, 22575])).
% 17.08/11.88 tff(22688,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22689,plain,
% 17.08/11.88 ((~![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)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22690,plain,
% 17.08/11.88 ((~![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))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22689, 22688])).
% 17.08/11.88 tff(22691,plain,
% 17.08/11.88 (~m_main_v_state2(s282, c_n2)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22690, 77, 22687])).
% 17.08/11.88 tff(22692,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22693,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s282, c_n2) | (~node4(s282)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22694,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s282, c_n2) | (~node4(s282))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22693, 22692])).
% 17.08/11.88 tff(22695,plain,
% 17.08/11.88 (~node4(s282)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22694, 388, 22691])).
% 17.08/11.88 tff(22696,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22697,plain,
% 17.08/11.88 ((~![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)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22698,plain,
% 17.08/11.88 ((~![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))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22697, 22696])).
% 17.08/11.88 tff(22699,plain,
% 17.08/11.88 (~m_main_v_state2(s282, c_c2)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22698, 260, 22687])).
% 17.08/11.88 tff(22700,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22701,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s282, c_c2) | (~node3(s282)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22702,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s282, c_c2) | (~node3(s282))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22701, 22700])).
% 17.08/11.88 tff(22703,plain,
% 17.08/11.88 (~node3(s282)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22702, 399, 22699])).
% 17.08/11.88 tff(22704,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22705,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s282, c_n2) | (~node2(s282)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22706,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s282, c_n2) | (~node2(s282))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22705, 22704])).
% 17.08/11.88 tff(22707,plain,
% 17.08/11.88 (~node2(s282)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22706, 410, 22691])).
% 17.08/11.88 tff(22708,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22709,plain,
% 17.08/11.88 ((~![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)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22710,plain,
% 17.08/11.88 ((~![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))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22709, 22708])).
% 17.08/11.88 tff(22711,plain,
% 17.08/11.88 (~m_main_v_state1(s282, c_n1)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22710, 454, 22670])).
% 17.08/11.88 tff(22712,plain,
% 17.08/11.88 (((~![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)))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22713,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s282, c_n1) | (~node1(s282)))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22714,plain,
% 17.08/11.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s282, c_n1) | (~node1(s282))),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22713, 22712])).
% 17.08/11.88 tff(22715,plain,
% 17.08/11.88 (~node1(s282)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22714, 421, 22711])).
% 17.08/11.88 tff(22716,plain,
% 17.08/11.88 (succ(s282, s283) <=> succ(s282, s283)),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22717,axiom,(succ(s282, s283)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound283')).
% 17.08/11.88 tff(22718,plain,
% 17.08/11.88 (succ(s282, s283)),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22717, 22716])).
% 17.08/11.88 tff(22719,plain,
% 17.08/11.88 (((~![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))),
% 17.08/11.88 inference(rewrite,[status(thm)],[])).
% 17.08/11.88 tff(22720,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))),
% 17.08/11.88 inference(quant_inst,[status(thm)],[])).
% 17.08/11.88 tff(22721,plain,
% 17.08/11.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283)),
% 17.08/11.88 inference(modus_ponens,[status(thm)],[22720, 22719])).
% 17.08/11.88 tff(22722,plain,
% 17.08/11.88 (trans(s282, s283)),
% 17.08/11.88 inference(unit_resolution,[status(thm)],[22721, 22718, 32])).
% 17.08/11.88 tff(22723,plain,
% 17.08/11.88 (((~![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))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22724,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s282, s283)) | node7(s282, s283))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22725,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s282, s283)) | node7(s282, s283)),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22724, 22723])).
% 17.08/11.89 tff(22726,plain,
% 17.08/11.89 (node7(s282, s283)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22725, 206, 22722])).
% 17.08/11.89 tff(22727,plain,
% 17.08/11.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22728,plain,
% 17.08/11.89 (((~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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22729,plain,
% 17.08/11.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 17.08/11.89 inference(monotonicity,[status(thm)],[22728])).
% 17.08/11.89 tff(22730,plain,
% 17.08/11.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 17.08/11.89 inference(transitivity,[status(thm)],[22729, 22727])).
% 17.08/11.89 tff(22731,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)) | m_main_v_state1(s283, c_n1))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22732,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22731, 22730])).
% 17.08/11.89 tff(22733,plain,
% 17.08/11.89 (m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22732, 584, 22726])).
% 17.08/11.89 tff(22734,plain,
% 17.08/11.89 (m_main_v_state1(s283, c_n1)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22733, 22715, 22670, 22707, 22703, 22695, 22678])).
% 17.08/11.89 tff(22735,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22736,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s281, c_t2) | (~node15(s281)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22737,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s281, c_t2) | (~node15(s281))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22736, 22735])).
% 17.08/11.89 tff(22738,plain,
% 17.08/11.89 (~node15(s281)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22737, 103, 22647])).
% 17.08/11.89 tff(22739,plain,
% 17.08/11.89 (((~![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))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22740,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s281, s282)) | node18(s281, s282))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22741,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s281, s282)) | node18(s281, s282)),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22740, 22739])).
% 17.08/11.89 tff(22742,plain,
% 17.08/11.89 (node18(s281, s282)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22741, 125, 22658])).
% 17.08/11.89 tff(22743,plain,
% 17.08/11.89 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22744,plain,
% 17.08/11.89 (((~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))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22745,plain,
% 17.08/11.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 17.08/11.89 inference(monotonicity,[status(thm)],[22744])).
% 17.08/11.89 tff(22746,plain,
% 17.08/11.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 17.08/11.89 inference(transitivity,[status(thm)],[22745, 22743])).
% 17.08/11.89 tff(22747,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22748,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22747, 22746])).
% 17.08/11.89 tff(22749,plain,
% 17.08/11.89 (node15(s281) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22748, 992, 22742])).
% 17.08/11.89 tff(22750,plain,
% 17.08/11.89 (m_main_v_turn(s282, c_1)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22749, 22738, 22575, 22643])).
% 17.08/11.89 tff(22751,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22752,plain,
% 17.08/11.89 ((~![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)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22753,plain,
% 17.08/11.89 ((~![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))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22752, 22751])).
% 17.08/11.89 tff(22754,plain,
% 17.08/11.89 (~m_main_v_turn(s282, c_2)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22753, 156, 22750])).
% 17.08/11.89 tff(22755,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22756,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s282, c_2) | (~node12(s282)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22757,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s282, c_2) | (~node12(s282))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22756, 22755])).
% 17.08/11.89 tff(22758,plain,
% 17.08/11.89 (~node12(s282)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22757, 184, 22754])).
% 17.08/11.89 tff(22759,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22760,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s282, c_n2) | (~node8(s282)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22761,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s282, c_n2) | (~node8(s282))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22760, 22759])).
% 17.08/11.89 tff(22762,plain,
% 17.08/11.89 (~node8(s282)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22761, 271, 22691])).
% 17.08/11.89 tff(22763,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22764,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s282, c_n2) | (~node9(s282)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22765,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s282, c_n2) | (~node9(s282))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22764, 22763])).
% 17.08/11.89 tff(22766,plain,
% 17.08/11.89 (~node9(s282)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22765, 88, 22691])).
% 17.08/11.89 tff(22767,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22768,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s282, c_n2) | (~node10(s282)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22769,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s282, c_n2) | (~node10(s282))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22768, 22767])).
% 17.08/11.89 tff(22770,plain,
% 17.08/11.89 (~node10(s282)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22769, 249, 22691])).
% 17.08/11.89 tff(22771,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22772,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s282, c_n1) | (~node11(s282)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22773,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s282, c_n1) | (~node11(s282))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22772, 22771])).
% 17.08/11.89 tff(22774,plain,
% 17.08/11.89 (~node11(s282)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22773, 238, 22711])).
% 17.08/11.89 tff(22775,plain,
% 17.08/11.89 (((~![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))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22776,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s282, s283)) | node14(s282, s283))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22777,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s282, s283)) | node14(s282, s283)),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22776, 22775])).
% 17.08/11.89 tff(22778,plain,
% 17.08/11.89 (node14(s282, s283)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22777, 46, 22722])).
% 17.08/11.89 tff(22779,plain,
% 17.08/11.89 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22780,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283) | (~node14(s282, s283)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22781,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283) | (~node14(s282, s283))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22780, 22779])).
% 17.08/11.89 tff(22782,plain,
% 17.08/11.89 (m_main_v_state2(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22781, 296, 22778])).
% 17.08/11.89 tff(22783,plain,
% 17.08/11.89 (node13(s282, s283)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22782, 22774, 22699, 22770, 22766, 22762, 22758])).
% 17.08/11.89 tff(22784,plain,
% 17.08/11.89 (((~![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(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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22785,plain,
% 17.08/11.89 (((~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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22786,plain,
% 17.08/11.89 (((~![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))))),
% 17.08/11.89 inference(monotonicity,[status(thm)],[22785])).
% 17.08/11.89 tff(22787,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(transitivity,[status(thm)],[22786, 22784])).
% 17.08/11.89 tff(22788,plain,
% 17.08/11.89 ((~![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))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22789,plain,
% 17.08/11.89 ((~![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(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22788, 22787])).
% 17.08/11.89 tff(22790,plain,
% 17.08/11.89 (m_main_v_state2(s283, c_t2)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22789, 518, 22687, 22783])).
% 17.08/11.89 tff(22791,plain,
% 17.08/11.89 (succ(s283, s284) <=> succ(s283, s284)),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22792,axiom,(succ(s283, s284)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound284')).
% 17.08/11.89 tff(22793,plain,
% 17.08/11.89 (succ(s283, s284)),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22792, 22791])).
% 17.08/11.89 tff(22794,plain,
% 17.08/11.89 (((~![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))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22795,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22796,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284)),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22795, 22794])).
% 17.08/11.89 tff(22797,plain,
% 17.08/11.89 (trans(s283, s284)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22796, 22793, 32])).
% 17.08/11.89 tff(22798,plain,
% 17.08/11.89 (((~![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))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22799,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s283, s284)) | node7(s283, s284))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22800,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s283, s284)) | node7(s283, s284)),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22799, 22798])).
% 17.08/11.89 tff(22801,plain,
% 17.08/11.89 (node7(s283, s284)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22800, 206, 22797])).
% 17.08/11.89 tff(22802,plain,
% 17.08/11.89 (((~![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(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))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22803,plain,
% 17.08/11.89 ((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node7(s283, s284)) | m_main_v_state1(s284, c_t1))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22804,plain,
% 17.08/11.89 ((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node7(s283, s284)) | m_main_v_state1(s284, c_t1)),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22803, 22802])).
% 17.08/11.89 tff(22805,plain,
% 17.08/11.89 ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | m_main_v_state1(s284, c_t1)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22804, 651, 22801])).
% 17.08/11.89 tff(22806,plain,
% 17.08/11.89 (m_main_v_state1(s284, c_t1)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22805, 22790, 22734])).
% 17.08/11.89 tff(22807,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22808,plain,
% 17.08/11.89 ((~![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)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22809,plain,
% 17.08/11.89 ((~![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))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22808, 22807])).
% 17.08/11.89 tff(22810,plain,
% 17.08/11.89 (~m_main_v_state1(s284, c_n1)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22809, 10, 22806])).
% 17.08/11.89 tff(22811,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22812,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s284, c_n1) | (~node1(s284)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22813,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s284, c_n1) | (~node1(s284))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22812, 22811])).
% 17.08/11.89 tff(22814,plain,
% 17.08/11.89 (~node1(s284)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22813, 421, 22810])).
% 17.08/11.89 tff(22815,plain,
% 17.08/11.89 (((~![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))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22816,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s283, s284)) | node18(s283, s284))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22817,plain,
% 17.08/11.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s283, s284)) | node18(s283, s284)),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22816, 22815])).
% 17.08/11.89 tff(22818,plain,
% 17.08/11.89 (node18(s283, s284)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22817, 125, 22797])).
% 17.08/11.89 tff(22819,plain,
% 17.08/11.89 (((~![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(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))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22820,plain,
% 17.08/11.89 ((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node18(s283, s284)) | m_main_v_turn(s284, c_2))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22821,plain,
% 17.08/11.89 ((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node18(s283, s284)) | m_main_v_turn(s284, c_2)),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22820, 22819])).
% 17.08/11.89 tff(22822,plain,
% 17.08/11.89 ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | m_main_v_turn(s284, c_2)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22821, 760, 22818])).
% 17.08/11.89 tff(22823,plain,
% 17.08/11.89 (m_main_v_turn(s284, c_2)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22822, 22790, 22734])).
% 17.08/11.89 tff(22824,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22825,plain,
% 17.08/11.89 ((~![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)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22826,plain,
% 17.08/11.89 ((~![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))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22825, 22824])).
% 17.08/11.89 tff(22827,plain,
% 17.08/11.89 (~m_main_v_turn(s284, c_1)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22826, 156, 22823])).
% 17.08/11.89 tff(22828,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22829,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s284, c_1) | (~node5(s284)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22830,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s284, c_1) | (~node5(s284))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22829, 22828])).
% 17.08/11.89 tff(22831,plain,
% 17.08/11.89 (~node5(s284)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22830, 776, 22827])).
% 17.08/11.89 tff(22832,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22833,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s284, c_n1) | (~node2(s284)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22834,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s284, c_n1) | (~node2(s284))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22833, 22832])).
% 17.08/11.89 tff(22835,plain,
% 17.08/11.89 (~node2(s284)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22834, 787, 22810])).
% 17.08/11.89 tff(22836,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.89 inference(rewrite,[status(thm)],[])).
% 17.08/11.89 tff(22837,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s284, c_n1) | (~node3(s284)))),
% 17.08/11.89 inference(quant_inst,[status(thm)],[])).
% 17.08/11.89 tff(22838,plain,
% 17.08/11.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s284, c_n1) | (~node3(s284))),
% 17.08/11.89 inference(modus_ponens,[status(thm)],[22837, 22836])).
% 17.08/11.89 tff(22839,plain,
% 17.08/11.89 (~node3(s284)),
% 17.08/11.89 inference(unit_resolution,[status(thm)],[22838, 798, 22810])).
% 17.08/11.89 tff(22840,plain,
% 17.08/11.89 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22841,plain,
% 17.08/11.90 ((~![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)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22842,plain,
% 17.08/11.90 ((~![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))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22841, 22840])).
% 17.08/11.90 tff(22843,plain,
% 17.08/11.90 (~m_main_v_state1(s284, c_c1)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22842, 539, 22806])).
% 17.08/11.90 tff(22844,plain,
% 17.08/11.90 (((~![V: $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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22845,plain,
% 17.08/11.90 (((~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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22846,plain,
% 17.08/11.90 (((~![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))))),
% 17.08/11.90 inference(monotonicity,[status(thm)],[22845])).
% 17.08/11.90 tff(22847,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(transitivity,[status(thm)],[22846, 22844])).
% 17.08/11.90 tff(22848,plain,
% 17.08/11.90 ((~![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)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22849,plain,
% 17.08/11.90 ((~![V: $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))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22848, 22847])).
% 17.08/11.90 tff(22850,plain,
% 17.08/11.90 (~m_main_v_state2(s283, c_n2)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22849, 311, 22691, 22783])).
% 17.08/11.90 tff(22851,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22852,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s283, c_n2) | (~node9(s283)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22853,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s283, c_n2) | (~node9(s283))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22852, 22851])).
% 17.08/11.90 tff(22854,plain,
% 17.08/11.90 (~node9(s283)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22853, 88, 22850])).
% 17.08/11.90 tff(22855,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22856,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s283, c_n2) | (~node10(s283)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22857,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s283, c_n2) | (~node10(s283))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22856, 22855])).
% 17.08/11.90 tff(22858,plain,
% 17.08/11.90 (~node10(s283)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22857, 249, 22850])).
% 17.08/11.90 tff(22859,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22860,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s283, c_n2) | (~node8(s283)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22861,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s283, c_n2) | (~node8(s283))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22860, 22859])).
% 17.08/11.90 tff(22862,plain,
% 17.08/11.90 (~node8(s283)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22861, 271, 22850])).
% 17.08/11.90 tff(22863,plain,
% 17.08/11.90 (((~![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))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22864,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s283, s284)) | node14(s283, s284))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22865,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s283, s284)) | node14(s283, s284)),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22864, 22863])).
% 17.08/11.90 tff(22866,plain,
% 17.08/11.90 (node14(s283, s284)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22865, 46, 22797])).
% 17.08/11.90 tff(22867,plain,
% 17.08/11.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22868,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22869,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22868, 22867])).
% 17.08/11.90 tff(22870,plain,
% 17.08/11.90 ((~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)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22869, 617, 22866])).
% 17.08/11.90 tff(22871,plain,
% 17.08/11.90 (m_main_v_state2(s284, c_c2)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22870, 22862, 22734, 22790, 22858, 22854])).
% 17.08/11.90 tff(22872,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22873,plain,
% 17.08/11.90 ((~![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)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22874,plain,
% 17.08/11.90 ((~![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))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22873, 22872])).
% 17.08/11.90 tff(22875,plain,
% 17.08/11.90 (~m_main_v_state2(s284, c_n2)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22874, 697, 22871])).
% 17.08/11.90 tff(22876,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22877,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s284, c_n2) | (~node4(s284)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22878,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s284, c_n2) | (~node4(s284))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22877, 22876])).
% 17.08/11.90 tff(22879,plain,
% 17.08/11.90 (~node4(s284)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22878, 388, 22875])).
% 17.08/11.90 tff(22880,plain,
% 17.08/11.90 (succ(s284, s285) <=> succ(s284, s285)),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22881,axiom,(succ(s284, s285)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound285')).
% 17.08/11.90 tff(22882,plain,
% 17.08/11.90 (succ(s284, s285)),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22881, 22880])).
% 17.08/11.90 tff(22883,plain,
% 17.08/11.90 (((~![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))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22884,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22885,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285)),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22884, 22883])).
% 17.08/11.90 tff(22886,plain,
% 17.08/11.90 (trans(s284, s285)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22885, 22882, 32])).
% 17.08/11.90 tff(22887,plain,
% 17.08/11.90 (((~![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))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22888,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s284, s285)) | node7(s284, s285))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22889,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s284, s285)) | node7(s284, s285)),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22888, 22887])).
% 17.08/11.90 tff(22890,plain,
% 17.08/11.90 (node7(s284, s285)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22889, 206, 22886])).
% 17.08/11.90 tff(22891,plain,
% 17.08/11.90 (((~![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(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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22892,plain,
% 17.08/11.90 ((~![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(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285) | (~node7(s284, s285)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22893,plain,
% 17.08/11.90 ((~![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(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285) | (~node7(s284, s285))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22892, 22891])).
% 17.08/11.90 tff(22894,plain,
% 17.08/11.90 (m_main_v_state1(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22893, 820, 22890])).
% 17.08/11.90 tff(22895,plain,
% 17.08/11.90 (node6(s284, s285)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22894, 22879, 22843, 22839, 22835, 22831, 22814])).
% 17.08/11.90 tff(22896,plain,
% 17.08/11.90 (((~![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(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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22897,plain,
% 17.08/11.90 (((~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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22898,plain,
% 17.08/11.90 (((~![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))))),
% 17.08/11.90 inference(monotonicity,[status(thm)],[22897])).
% 17.08/11.90 tff(22899,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(transitivity,[status(thm)],[22898, 22896])).
% 17.08/11.90 tff(22900,plain,
% 17.08/11.90 ((~![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))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22901,plain,
% 17.08/11.90 ((~![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(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22900, 22899])).
% 17.08/11.90 tff(22902,plain,
% 17.08/11.90 (m_main_v_state1(s285, c_t1)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22901, 856, 22806, 22895])).
% 17.08/11.90 tff(22903,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22904,plain,
% 17.08/11.90 ((~![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)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22905,plain,
% 17.08/11.90 ((~![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))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22904, 22903])).
% 17.08/11.90 tff(22906,plain,
% 17.08/11.90 (~m_main_v_state2(s284, c_t2)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22905, 260, 22871])).
% 17.08/11.90 tff(22907,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22908,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s284, c_t2) | (~node12(s284)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22909,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s284, c_t2) | (~node12(s284))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22908, 22907])).
% 17.08/11.90 tff(22910,plain,
% 17.08/11.90 (~node12(s284)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22909, 633, 22906])).
% 17.08/11.90 tff(22911,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22912,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s284, c_n1) | (~node11(s284)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22913,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s284, c_n1) | (~node11(s284))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22912, 22911])).
% 17.08/11.90 tff(22914,plain,
% 17.08/11.90 (~node11(s284)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22913, 238, 22810])).
% 17.08/11.90 tff(22915,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22916,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s284, c_c1) | (~node10(s284)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22917,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s284, c_c1) | (~node10(s284))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22916, 22915])).
% 17.08/11.90 tff(22918,plain,
% 17.08/11.90 (~node10(s284)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22917, 675, 22843])).
% 17.08/11.90 tff(22919,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22920,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s284, c_n1) | (~node9(s284)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22921,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s284, c_n1) | (~node9(s284))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22920, 22919])).
% 17.08/11.90 tff(22922,plain,
% 17.08/11.90 (~node9(s284)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22921, 686, 22810])).
% 17.08/11.90 tff(22923,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22924,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s284, c_n2) | (~node8(s284)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22925,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s284, c_n2) | (~node8(s284))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22924, 22923])).
% 17.08/11.90 tff(22926,plain,
% 17.08/11.90 (~node8(s284)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22925, 271, 22875])).
% 17.08/11.90 tff(22927,plain,
% 17.08/11.90 (((~![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))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22928,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s284, s285)) | node14(s284, s285))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22929,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s284, s285)) | node14(s284, s285)),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22928, 22927])).
% 17.08/11.90 tff(22930,plain,
% 17.08/11.90 (node14(s284, s285)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22929, 46, 22886])).
% 17.08/11.90 tff(22931,plain,
% 17.08/11.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22932,plain,
% 17.08/11.90 (((~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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22933,plain,
% 17.08/11.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 17.08/11.90 inference(monotonicity,[status(thm)],[22932])).
% 17.08/11.90 tff(22934,plain,
% 17.08/11.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 17.08/11.90 inference(transitivity,[status(thm)],[22933, 22931])).
% 17.08/11.90 tff(22935,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s284, c_c2)) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | m_main_v_state2(s285, c_n2))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22936,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22935, 22934])).
% 17.08/11.90 tff(22937,plain,
% 17.08/11.90 (m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~m_main_v_state2(s284, c_c2))),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22936, 726, 22930])).
% 17.08/11.90 tff(22938,plain,
% 17.08/11.90 (m_main_v_state2(s285, c_n2)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22937, 22926, 22871, 22922, 22918, 22914, 22910])).
% 17.08/11.90 tff(22939,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22940,plain,
% 17.08/11.90 ((~![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)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22941,plain,
% 17.08/11.90 ((~![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))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22940, 22939])).
% 17.08/11.90 tff(22942,plain,
% 17.08/11.90 (~m_main_v_state2(s285, c_t2)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22941, 77, 22938])).
% 17.08/11.90 tff(22943,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22944,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s285, c_t2) | (~node15(s285)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22945,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s285, c_t2) | (~node15(s285))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22944, 22943])).
% 17.08/11.90 tff(22946,plain,
% 17.08/11.90 (~node15(s285)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22945, 103, 22942])).
% 17.08/11.90 tff(22947,plain,
% 17.08/11.90 (succ(s285, s286) <=> succ(s285, s286)),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22948,axiom,(succ(s285, s286)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound286')).
% 17.08/11.90 tff(22949,plain,
% 17.08/11.90 (succ(s285, s286)),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22948, 22947])).
% 17.08/11.90 tff(22950,plain,
% 17.08/11.90 (((~![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))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22951,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22952,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286)),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22951, 22950])).
% 17.08/11.90 tff(22953,plain,
% 17.08/11.90 (trans(s285, s286)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22952, 22949, 32])).
% 17.08/11.90 tff(22954,plain,
% 17.08/11.90 (((~![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))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22955,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s285, s286)) | node18(s285, s286))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22956,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s285, s286)) | node18(s285, s286)),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22955, 22954])).
% 17.08/11.90 tff(22957,plain,
% 17.08/11.90 (node18(s285, s286)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22956, 125, 22953])).
% 17.08/11.90 tff(22958,plain,
% 17.08/11.90 (((~![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(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))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22959,plain,
% 17.08/11.90 (((~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))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22960,plain,
% 17.08/11.90 (((~![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(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)))),
% 17.08/11.90 inference(monotonicity,[status(thm)],[22959])).
% 17.08/11.90 tff(22961,plain,
% 17.08/11.90 (((~![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(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))),
% 17.08/11.90 inference(transitivity,[status(thm)],[22960, 22958])).
% 17.08/11.90 tff(22962,plain,
% 17.08/11.90 ((~![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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node15(s285) | (~node18(s285, s286)) | m_main_v_turn(s286, c_1))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22963,plain,
% 17.08/11.90 ((~![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(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)),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22962, 22961])).
% 17.08/11.90 tff(22964,plain,
% 17.08/11.90 (node15(s285) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22963, 992, 22957])).
% 17.08/11.90 tff(22965,plain,
% 17.08/11.90 (m_main_v_turn(s286, c_1)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22964, 22946, 22938, 22902])).
% 17.08/11.90 tff(22966,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22967,plain,
% 17.08/11.90 ((~![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)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22968,plain,
% 17.08/11.90 ((~![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))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22967, 22966])).
% 17.08/11.90 tff(22969,plain,
% 17.08/11.90 (~m_main_v_turn(s286, c_2)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22968, 156, 22965])).
% 17.08/11.90 tff(22970,plain,
% 17.08/11.90 (((~![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)))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22971,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s286, c_2) | (~node12(s286)))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.90 tff(22972,plain,
% 17.08/11.90 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s286, c_2) | (~node12(s286))),
% 17.08/11.90 inference(modus_ponens,[status(thm)],[22971, 22970])).
% 17.08/11.90 tff(22973,plain,
% 17.08/11.90 (~node12(s286)),
% 17.08/11.90 inference(unit_resolution,[status(thm)],[22972, 184, 22969])).
% 17.08/11.90 tff(22974,plain,
% 17.08/11.90 (((~![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))),
% 17.08/11.90 inference(rewrite,[status(thm)],[])).
% 17.08/11.90 tff(22975,plain,
% 17.08/11.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s285, s286)) | node14(s285, s286))),
% 17.08/11.90 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(22976,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s285, s286)) | node14(s285, s286)),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[22975, 22974])).
% 17.08/11.91 tff(22977,plain,
% 17.08/11.91 (node14(s285, s286)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[22976, 46, 22953])).
% 17.08/11.91 tff(22978,plain,
% 17.08/11.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(22979,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | (~node14(s285, s286)) | m_main_v_state2(s286, c_t2))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(22980,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | (~node14(s285, s286)) | m_main_v_state2(s286, c_t2)),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[22979, 22978])).
% 17.08/11.91 tff(22981,plain,
% 17.08/11.91 ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state2(s286, c_t2)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[22980, 922, 22977])).
% 17.08/11.91 tff(22982,plain,
% 17.08/11.91 (m_main_v_state2(s286, c_t2)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[22981, 22902, 22938])).
% 17.08/11.91 tff(22983,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(22984,plain,
% 17.08/11.91 ((~![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)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(22985,plain,
% 17.08/11.91 ((~![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))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[22984, 22983])).
% 17.08/11.91 tff(22986,plain,
% 17.08/11.91 (~m_main_v_state2(s286, c_n2)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[22985, 77, 22982])).
% 17.08/11.91 tff(22987,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(22988,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s286, c_n2) | (~node8(s286)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(22989,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s286, c_n2) | (~node8(s286))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[22988, 22987])).
% 17.08/11.91 tff(22990,plain,
% 17.08/11.91 (~node8(s286)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[22989, 271, 22986])).
% 17.08/11.91 tff(22991,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(22992,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s286, c_n2) | (~node9(s286)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(22993,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s286, c_n2) | (~node9(s286))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[22992, 22991])).
% 17.08/11.91 tff(22994,plain,
% 17.08/11.91 (~node9(s286)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[22993, 88, 22986])).
% 17.08/11.91 tff(22995,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(22996,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s286, c_n2) | (~node10(s286)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(22997,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s286, c_n2) | (~node10(s286))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[22996, 22995])).
% 17.08/11.91 tff(22998,plain,
% 17.08/11.91 (~node10(s286)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[22997, 249, 22986])).
% 17.08/11.91 tff(22999,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23000,plain,
% 17.08/11.91 ((~![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)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23001,plain,
% 17.08/11.91 ((~![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))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23000, 22999])).
% 17.08/11.91 tff(23002,plain,
% 17.08/11.91 (~m_main_v_state2(s286, c_c2)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23001, 260, 22982])).
% 17.08/11.91 tff(23003,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23004,plain,
% 17.08/11.91 ((~![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)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23005,plain,
% 17.08/11.91 ((~![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))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23004, 23003])).
% 17.08/11.91 tff(23006,plain,
% 17.08/11.91 (~m_main_v_state2(s285, c_c2)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23005, 697, 22938])).
% 17.08/11.91 tff(23007,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23008,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s285, c_c2) | (~node3(s285)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23009,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s285, c_c2) | (~node3(s285))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23008, 23007])).
% 17.08/11.91 tff(23010,plain,
% 17.08/11.91 (~node3(s285)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23009, 399, 23006])).
% 17.08/11.91 tff(23011,plain,
% 17.08/11.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23012,plain,
% 17.08/11.91 (((~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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23013,plain,
% 17.08/11.91 (((~![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))))),
% 17.08/11.91 inference(monotonicity,[status(thm)],[23012])).
% 17.08/11.91 tff(23014,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(transitivity,[status(thm)],[23013, 23011])).
% 17.08/11.91 tff(23015,plain,
% 17.08/11.91 ((~![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)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23016,plain,
% 17.08/11.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23015, 23014])).
% 17.08/11.91 tff(23017,plain,
% 17.08/11.91 (~m_main_v_state1(s285, c_n1)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23016, 835, 22810, 22895])).
% 17.08/11.91 tff(23018,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23019,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s285, c_n1) | (~node2(s285)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23020,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s285, c_n1) | (~node2(s285))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23019, 23018])).
% 17.08/11.91 tff(23021,plain,
% 17.08/11.91 (~node2(s285)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23020, 787, 23017])).
% 17.08/11.91 tff(23022,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23023,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s285, c_t2) | (~node1(s285)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23024,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s285, c_t2) | (~node1(s285))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23023, 23022])).
% 17.08/11.91 tff(23025,plain,
% 17.08/11.91 (~node1(s285)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23024, 195, 22942])).
% 17.08/11.91 tff(23026,plain,
% 17.08/11.91 (((~![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))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23027,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s285, s286)) | node7(s285, s286))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23028,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s285, s286)) | node7(s285, s286)),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23027, 23026])).
% 17.08/11.91 tff(23029,plain,
% 17.08/11.91 (node7(s285, s286)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23028, 206, 22953])).
% 17.08/11.91 tff(23030,plain,
% 17.08/11.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23031,plain,
% 17.08/11.91 (((~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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23032,plain,
% 17.08/11.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 17.08/11.91 inference(monotonicity,[status(thm)],[23031])).
% 17.08/11.91 tff(23033,plain,
% 17.08/11.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 17.08/11.91 inference(transitivity,[status(thm)],[23032, 23030])).
% 17.08/11.91 tff(23034,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23035,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23034, 23033])).
% 17.08/11.91 tff(23036,plain,
% 17.08/11.91 ((~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)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23035, 892, 23029])).
% 17.08/11.91 tff(23037,plain,
% 17.08/11.91 (m_main_v_state1(s286, c_c1)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23036, 23025, 22938, 22902, 23021, 23010])).
% 17.08/11.91 tff(23038,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23039,plain,
% 17.08/11.91 ((~![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)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23040,plain,
% 17.08/11.91 ((~![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))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23039, 23038])).
% 17.08/11.91 tff(23041,plain,
% 17.08/11.91 (~m_main_v_state1(s286, c_n1)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23040, 454, 23037])).
% 17.08/11.91 tff(23042,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23043,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s286, c_n1) | (~node11(s286)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23044,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s286, c_n1) | (~node11(s286))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23043, 23042])).
% 17.08/11.91 tff(23045,plain,
% 17.08/11.91 (~node11(s286)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23044, 238, 23041])).
% 17.08/11.91 tff(23046,plain,
% 17.08/11.91 (succ(s286, s287) <=> succ(s286, s287)),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23047,axiom,(succ(s286, s287)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound287')).
% 17.08/11.91 tff(23048,plain,
% 17.08/11.91 (succ(s286, s287)),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23047, 23046])).
% 17.08/11.91 tff(23049,plain,
% 17.08/11.91 (((~![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))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23050,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23051,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287)),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23050, 23049])).
% 17.08/11.91 tff(23052,plain,
% 17.08/11.91 (trans(s286, s287)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23051, 23048, 32])).
% 17.08/11.91 tff(23053,plain,
% 17.08/11.91 (((~![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))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23054,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s286, s287)) | node14(s286, s287))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23055,plain,
% 17.08/11.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s286, s287)) | node14(s286, s287)),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23054, 23053])).
% 17.08/11.91 tff(23056,plain,
% 17.08/11.91 (node14(s286, s287)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23055, 46, 23052])).
% 17.08/11.91 tff(23057,plain,
% 17.08/11.91 (((~![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(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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23058,plain,
% 17.08/11.91 ((~![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(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287) | (~node14(s286, s287)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23059,plain,
% 17.08/11.91 ((~![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(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287) | (~node14(s286, s287))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23058, 23057])).
% 17.08/11.91 tff(23060,plain,
% 17.08/11.91 (m_main_v_state2(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23059, 296, 23056])).
% 17.08/11.91 tff(23061,plain,
% 17.08/11.91 (node13(s286, s287)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23060, 23045, 23002, 22998, 22994, 22990, 22973])).
% 17.08/11.91 tff(23062,plain,
% 17.08/11.91 (((~![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(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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23063,plain,
% 17.08/11.91 (((~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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23064,plain,
% 17.08/11.91 (((~![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))))),
% 17.08/11.91 inference(monotonicity,[status(thm)],[23063])).
% 17.08/11.91 tff(23065,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(transitivity,[status(thm)],[23064, 23062])).
% 17.08/11.91 tff(23066,plain,
% 17.08/11.91 ((~![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)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23067,plain,
% 17.08/11.91 ((~![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(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23066, 23065])).
% 17.08/11.91 tff(23068,plain,
% 17.08/11.91 (~m_main_v_state2(s287, c_n2)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23067, 311, 22986, 23061])).
% 17.08/11.91 tff(23069,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23070,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s287, c_n2) | (~node9(s287)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23071,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s287, c_n2) | (~node9(s287))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23070, 23069])).
% 17.08/11.91 tff(23072,plain,
% 17.08/11.91 (~node9(s287)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23071, 88, 23068])).
% 17.08/11.91 tff(23073,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23074,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s287, c_n2) | (~node10(s287)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23075,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s287, c_n2) | (~node10(s287))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23074, 23073])).
% 17.08/11.91 tff(23076,plain,
% 17.08/11.91 (~node10(s287)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23075, 249, 23068])).
% 17.08/11.91 tff(23077,plain,
% 17.08/11.91 (((~![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(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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23078,plain,
% 17.08/11.91 (((~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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23079,plain,
% 17.08/11.91 (((~![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))))),
% 17.08/11.91 inference(monotonicity,[status(thm)],[23078])).
% 17.08/11.91 tff(23080,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(transitivity,[status(thm)],[23079, 23077])).
% 17.08/11.91 tff(23081,plain,
% 17.08/11.91 ((~![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))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23082,plain,
% 17.08/11.91 ((~![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(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23081, 23080])).
% 17.08/11.91 tff(23083,plain,
% 17.08/11.91 (m_main_v_state2(s287, c_t2)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23082, 518, 22982, 23061])).
% 17.08/11.91 tff(23084,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23085,plain,
% 17.08/11.91 ((~![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)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23086,plain,
% 17.08/11.91 ((~![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))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23085, 23084])).
% 17.08/11.91 tff(23087,plain,
% 17.08/11.91 (~m_main_v_state1(s286, c_t1)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23086, 539, 23037])).
% 17.08/11.91 tff(23088,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.91 inference(rewrite,[status(thm)],[])).
% 17.08/11.91 tff(23089,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s286, c_t1) | (~node5(s286)))),
% 17.08/11.91 inference(quant_inst,[status(thm)],[])).
% 17.08/11.91 tff(23090,plain,
% 17.08/11.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s286, c_t1) | (~node5(s286))),
% 17.08/11.91 inference(modus_ponens,[status(thm)],[23089, 23088])).
% 17.08/11.91 tff(23091,plain,
% 17.08/11.91 (~node5(s286)),
% 17.08/11.91 inference(unit_resolution,[status(thm)],[23090, 550, 23087])).
% 17.08/11.91 tff(23092,plain,
% 17.08/11.91 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23093,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s286, c_n2) | (~node4(s286)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23094,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s286, c_n2) | (~node4(s286))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23093, 23092])).
% 17.08/11.92 tff(23095,plain,
% 17.08/11.92 (~node4(s286)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23094, 388, 22986])).
% 17.08/11.92 tff(23096,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23097,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s286, c_c2) | (~node3(s286)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23098,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s286, c_c2) | (~node3(s286))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23097, 23096])).
% 17.08/11.92 tff(23099,plain,
% 17.08/11.92 (~node3(s286)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23098, 399, 23002])).
% 17.08/11.92 tff(23100,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23101,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s286, c_n2) | (~node2(s286)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23102,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s286, c_n2) | (~node2(s286))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23101, 23100])).
% 17.08/11.92 tff(23103,plain,
% 17.08/11.92 (~node2(s286)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23102, 410, 22986])).
% 17.08/11.92 tff(23104,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23105,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s286, c_n1) | (~node1(s286)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23106,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s286, c_n1) | (~node1(s286))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23105, 23104])).
% 17.08/11.92 tff(23107,plain,
% 17.08/11.92 (~node1(s286)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23106, 421, 23041])).
% 17.08/11.92 tff(23108,plain,
% 17.08/11.92 (((~![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))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23109,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s286, s287)) | node7(s286, s287))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23110,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s286, s287)) | node7(s286, s287)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23109, 23108])).
% 17.08/11.92 tff(23111,plain,
% 17.08/11.92 (node7(s286, s287)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23110, 206, 23052])).
% 17.08/11.92 tff(23112,plain,
% 17.08/11.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23113,plain,
% 17.08/11.92 (((~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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23114,plain,
% 17.08/11.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 17.08/11.92 inference(monotonicity,[status(thm)],[23113])).
% 17.08/11.92 tff(23115,plain,
% 17.08/11.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 17.08/11.92 inference(transitivity,[status(thm)],[23114, 23112])).
% 17.08/11.92 tff(23116,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)) | m_main_v_state1(s287, c_n1))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23117,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23116, 23115])).
% 17.08/11.92 tff(23118,plain,
% 17.08/11.92 (m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23117, 584, 23111])).
% 17.08/11.92 tff(23119,plain,
% 17.08/11.92 (m_main_v_state1(s287, c_n1)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23118, 23107, 23037, 23103, 23099, 23095, 23091])).
% 17.08/11.92 tff(23120,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23121,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s287, c_n2) | (~node8(s287)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23122,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s287, c_n2) | (~node8(s287))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23121, 23120])).
% 17.08/11.92 tff(23123,plain,
% 17.08/11.92 (~node8(s287)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23122, 271, 23068])).
% 17.08/11.92 tff(23124,plain,
% 17.08/11.92 (succ(s287, s288) <=> succ(s287, s288)),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23125,axiom,(succ(s287, s288)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound288')).
% 17.08/11.92 tff(23126,plain,
% 17.08/11.92 (succ(s287, s288)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23125, 23124])).
% 17.08/11.92 tff(23127,plain,
% 17.08/11.92 (((~![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))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23128,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23129,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23128, 23127])).
% 17.08/11.92 tff(23130,plain,
% 17.08/11.92 (trans(s287, s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23129, 23126, 32])).
% 17.08/11.92 tff(23131,plain,
% 17.08/11.92 (((~![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))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23132,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s287, s288)) | node14(s287, s288))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23133,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s287, s288)) | node14(s287, s288)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23132, 23131])).
% 17.08/11.92 tff(23134,plain,
% 17.08/11.92 (node14(s287, s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23133, 46, 23130])).
% 17.08/11.92 tff(23135,plain,
% 17.08/11.92 (((~![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(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))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23136,plain,
% 17.08/11.92 ((~![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(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))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23137,plain,
% 17.08/11.92 ((~![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(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)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23136, 23135])).
% 17.08/11.92 tff(23138,plain,
% 17.08/11.92 ((~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)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23137, 617, 23134])).
% 17.08/11.92 tff(23139,plain,
% 17.08/11.92 (m_main_v_state2(s288, c_c2)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23138, 23123, 23119, 23083, 23076, 23072])).
% 17.08/11.92 tff(23140,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23141,plain,
% 17.08/11.92 ((~![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)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23142,plain,
% 17.08/11.92 ((~![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))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23141, 23140])).
% 17.08/11.92 tff(23143,plain,
% 17.08/11.92 (~m_main_v_state2(s288, c_t2)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23142, 260, 23139])).
% 17.08/11.92 tff(23144,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23145,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s288, c_t2) | (~node12(s288)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23146,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s288, c_t2) | (~node12(s288))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23145, 23144])).
% 17.08/11.92 tff(23147,plain,
% 17.08/11.92 (~node12(s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23146, 633, 23143])).
% 17.08/11.92 tff(23148,plain,
% 17.08/11.92 (((~![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))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23149,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s287, s288)) | node7(s287, s288))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23150,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s287, s288)) | node7(s287, s288)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23149, 23148])).
% 17.08/11.92 tff(23151,plain,
% 17.08/11.92 (node7(s287, s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23150, 206, 23130])).
% 17.08/11.92 tff(23152,plain,
% 17.08/11.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23153,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node7(s287, s288)) | m_main_v_state1(s288, c_t1))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23154,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node7(s287, s288)) | m_main_v_state1(s288, c_t1)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23153, 23152])).
% 17.08/11.92 tff(23155,plain,
% 17.08/11.92 ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | m_main_v_state1(s288, c_t1)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23154, 651, 23151])).
% 17.08/11.92 tff(23156,plain,
% 17.08/11.92 (m_main_v_state1(s288, c_t1)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23155, 23083, 23119])).
% 17.08/11.92 tff(23157,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23158,plain,
% 17.08/11.92 ((~![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)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23159,plain,
% 17.08/11.92 ((~![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))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23158, 23157])).
% 17.08/11.92 tff(23160,plain,
% 17.08/11.92 (~m_main_v_state1(s288, c_n1)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23159, 10, 23156])).
% 17.08/11.92 tff(23161,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23162,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s288, c_n1) | (~node11(s288)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23163,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s288, c_n1) | (~node11(s288))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23162, 23161])).
% 17.08/11.92 tff(23164,plain,
% 17.08/11.92 (~node11(s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23163, 238, 23160])).
% 17.08/11.92 tff(23165,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23166,plain,
% 17.08/11.92 ((~![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)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23167,plain,
% 17.08/11.92 ((~![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))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23166, 23165])).
% 17.08/11.92 tff(23168,plain,
% 17.08/11.92 (~m_main_v_state1(s288, c_c1)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23167, 539, 23156])).
% 17.08/11.92 tff(23169,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23170,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s288, c_c1) | (~node10(s288)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23171,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s288, c_c1) | (~node10(s288))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23170, 23169])).
% 17.08/11.92 tff(23172,plain,
% 17.08/11.92 (~node10(s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23171, 675, 23168])).
% 17.08/11.92 tff(23173,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23174,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s288, c_n1) | (~node9(s288)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23175,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s288, c_n1) | (~node9(s288))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23174, 23173])).
% 17.08/11.92 tff(23176,plain,
% 17.08/11.92 (~node9(s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23175, 686, 23160])).
% 17.08/11.92 tff(23177,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23178,plain,
% 17.08/11.92 ((~![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)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23179,plain,
% 17.08/11.92 ((~![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))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23178, 23177])).
% 17.08/11.92 tff(23180,plain,
% 17.08/11.92 (~m_main_v_state2(s288, c_n2)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23179, 697, 23139])).
% 17.08/11.92 tff(23181,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23182,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s288, c_n2) | (~node8(s288)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23183,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s288, c_n2) | (~node8(s288))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23182, 23181])).
% 17.08/11.92 tff(23184,plain,
% 17.08/11.92 (~node8(s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23183, 271, 23180])).
% 17.08/11.92 tff(23185,plain,
% 17.08/11.92 (succ(s288, s289) <=> succ(s288, s289)),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23186,axiom,(succ(s288, s289)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound289')).
% 17.08/11.92 tff(23187,plain,
% 17.08/11.92 (succ(s288, s289)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23186, 23185])).
% 17.08/11.92 tff(23188,plain,
% 17.08/11.92 (((~![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))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23189,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23190,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23189, 23188])).
% 17.08/11.92 tff(23191,plain,
% 17.08/11.92 (trans(s288, s289)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23190, 23187, 32])).
% 17.08/11.92 tff(23192,plain,
% 17.08/11.92 (((~![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))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23193,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s288, s289)) | node14(s288, s289))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23194,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s288, s289)) | node14(s288, s289)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23193, 23192])).
% 17.08/11.92 tff(23195,plain,
% 17.08/11.92 (node14(s288, s289)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23194, 46, 23191])).
% 17.08/11.92 tff(23196,plain,
% 17.08/11.92 (((~![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(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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23197,plain,
% 17.08/11.92 (((~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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23198,plain,
% 17.08/11.92 (((~![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(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))))),
% 17.08/11.92 inference(monotonicity,[status(thm)],[23197])).
% 17.08/11.92 tff(23199,plain,
% 17.08/11.92 (((~![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(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)))),
% 17.08/11.92 inference(transitivity,[status(thm)],[23198, 23196])).
% 17.08/11.92 tff(23200,plain,
% 17.08/11.92 ((~![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(s288, c_c2)) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | m_main_v_state2(s289, c_n2))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23201,plain,
% 17.08/11.92 ((~![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(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23200, 23199])).
% 17.08/11.92 tff(23202,plain,
% 17.08/11.92 (m_main_v_state2(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~m_main_v_state2(s288, c_c2))),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23201, 726, 23195])).
% 17.08/11.92 tff(23203,plain,
% 17.08/11.92 (m_main_v_state2(s289, c_n2)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23202, 23184, 23139, 23176, 23172, 23164, 23147])).
% 17.08/11.92 tff(23204,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23205,plain,
% 17.08/11.92 ((~![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)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23206,plain,
% 17.08/11.92 ((~![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))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23205, 23204])).
% 17.08/11.92 tff(23207,plain,
% 17.08/11.92 (~m_main_v_state2(s289, c_c2)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23206, 697, 23203])).
% 17.08/11.92 tff(23208,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23209,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s289, c_c2) | (~node3(s289)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23210,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s289, c_c2) | (~node3(s289))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23209, 23208])).
% 17.08/11.92 tff(23211,plain,
% 17.08/11.92 (~node3(s289)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23210, 399, 23207])).
% 17.08/11.92 tff(23212,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23213,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s288, c_n1) | (~node1(s288)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23214,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s288, c_n1) | (~node1(s288))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23213, 23212])).
% 17.08/11.92 tff(23215,plain,
% 17.08/11.92 (~node1(s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23214, 421, 23160])).
% 17.08/11.92 tff(23216,plain,
% 17.08/11.92 (((~![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))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23217,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s287, s288)) | node18(s287, s288))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23218,plain,
% 17.08/11.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s287, s288)) | node18(s287, s288)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23217, 23216])).
% 17.08/11.92 tff(23219,plain,
% 17.08/11.92 (node18(s287, s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23218, 125, 23130])).
% 17.08/11.92 tff(23220,plain,
% 17.08/11.92 (((~![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(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))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23221,plain,
% 17.08/11.92 ((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node18(s287, s288)) | m_main_v_turn(s288, c_2))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23222,plain,
% 17.08/11.92 ((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node18(s287, s288)) | m_main_v_turn(s288, c_2)),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23221, 23220])).
% 17.08/11.92 tff(23223,plain,
% 17.08/11.92 ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | m_main_v_turn(s288, c_2)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23222, 760, 23219])).
% 17.08/11.92 tff(23224,plain,
% 17.08/11.92 (m_main_v_turn(s288, c_2)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23223, 23083, 23119])).
% 17.08/11.92 tff(23225,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23226,plain,
% 17.08/11.92 ((~![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)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23227,plain,
% 17.08/11.92 ((~![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))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23226, 23225])).
% 17.08/11.92 tff(23228,plain,
% 17.08/11.92 (~m_main_v_turn(s288, c_1)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23227, 156, 23224])).
% 17.08/11.92 tff(23229,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.92 inference(rewrite,[status(thm)],[])).
% 17.08/11.92 tff(23230,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s288, c_1) | (~node5(s288)))),
% 17.08/11.92 inference(quant_inst,[status(thm)],[])).
% 17.08/11.92 tff(23231,plain,
% 17.08/11.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s288, c_1) | (~node5(s288))),
% 17.08/11.92 inference(modus_ponens,[status(thm)],[23230, 23229])).
% 17.08/11.92 tff(23232,plain,
% 17.08/11.92 (~node5(s288)),
% 17.08/11.92 inference(unit_resolution,[status(thm)],[23231, 776, 23228])).
% 17.08/11.92 tff(23233,plain,
% 17.08/11.92 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23234,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s288, c_n1) | (~node2(s288)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23235,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s288, c_n1) | (~node2(s288))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 17.08/11.93 tff(23236,plain,
% 17.08/11.93 (~node2(s288)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23235, 787, 23160])).
% 17.08/11.93 tff(23237,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23238,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s288, c_n1) | (~node3(s288)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23239,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s288, c_n1) | (~node3(s288))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23238, 23237])).
% 17.08/11.93 tff(23240,plain,
% 17.08/11.93 (~node3(s288)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23239, 798, 23160])).
% 17.08/11.93 tff(23241,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23242,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s288, c_n2) | (~node4(s288)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23243,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s288, c_n2) | (~node4(s288))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23242, 23241])).
% 17.08/11.93 tff(23244,plain,
% 17.08/11.93 (~node4(s288)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23243, 388, 23180])).
% 17.08/11.93 tff(23245,plain,
% 17.08/11.93 (((~![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))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23246,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s288, s289)) | node7(s288, s289))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23247,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s288, s289)) | node7(s288, s289)),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23246, 23245])).
% 17.08/11.93 tff(23248,plain,
% 17.08/11.93 (node7(s288, s289)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23247, 206, 23191])).
% 17.08/11.93 tff(23249,plain,
% 17.08/11.93 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23250,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289) | (~node7(s288, s289)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23251,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289) | (~node7(s288, s289))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23250, 23249])).
% 17.08/11.93 tff(23252,plain,
% 17.08/11.93 (m_main_v_state1(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23251, 820, 23248])).
% 17.08/11.93 tff(23253,plain,
% 17.08/11.93 (node6(s288, s289)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23252, 23244, 23168, 23240, 23236, 23232, 23215])).
% 17.08/11.93 tff(23254,plain,
% 17.08/11.93 (((~![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(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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23255,plain,
% 17.08/11.93 (((~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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23256,plain,
% 17.08/11.93 (((~![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))))),
% 17.08/11.93 inference(monotonicity,[status(thm)],[23255])).
% 17.08/11.93 tff(23257,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(transitivity,[status(thm)],[23256, 23254])).
% 17.08/11.93 tff(23258,plain,
% 17.08/11.93 ((~![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)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23259,plain,
% 17.08/11.93 ((~![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(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 17.08/11.93 tff(23260,plain,
% 17.08/11.93 (~m_main_v_state1(s289, c_n1)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23259, 835, 23160, 23253])).
% 17.08/11.93 tff(23261,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23262,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s289, c_n1) | (~node2(s289)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23263,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s289, c_n1) | (~node2(s289))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23262, 23261])).
% 17.08/11.93 tff(23264,plain,
% 17.08/11.93 (~node2(s289)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23263, 787, 23260])).
% 17.08/11.93 tff(23265,plain,
% 17.08/11.93 (((~![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(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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23266,plain,
% 17.08/11.93 (((~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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23267,plain,
% 17.08/11.93 (((~![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))))),
% 17.08/11.93 inference(monotonicity,[status(thm)],[23266])).
% 17.08/11.93 tff(23268,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(transitivity,[status(thm)],[23267, 23265])).
% 17.08/11.93 tff(23269,plain,
% 17.08/11.93 ((~![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))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23270,plain,
% 17.08/11.93 ((~![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(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23269, 23268])).
% 17.08/11.93 tff(23271,plain,
% 17.08/11.93 (m_main_v_state1(s289, c_t1)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23270, 856, 23156, 23253])).
% 17.08/11.93 tff(23272,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23273,plain,
% 17.08/11.93 ((~![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)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23274,plain,
% 17.08/11.93 ((~![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))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 17.08/11.93 tff(23275,plain,
% 17.08/11.93 (~m_main_v_state2(s289, c_t2)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23274, 77, 23203])).
% 17.08/11.93 tff(23276,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23277,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s289, c_t2) | (~node1(s289)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23278,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s289, c_t2) | (~node1(s289))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23277, 23276])).
% 17.08/11.93 tff(23279,plain,
% 17.08/11.93 (~node1(s289)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23278, 195, 23275])).
% 17.08/11.93 tff(23280,plain,
% 17.08/11.93 (succ(s289, s290) <=> succ(s289, s290)),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23281,axiom,(succ(s289, s290)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound290')).
% 17.08/11.93 tff(23282,plain,
% 17.08/11.93 (succ(s289, s290)),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23281, 23280])).
% 17.08/11.93 tff(23283,plain,
% 17.08/11.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23284,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23285,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290)),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23284, 23283])).
% 17.08/11.93 tff(23286,plain,
% 17.08/11.93 (trans(s289, s290)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23285, 23282, 32])).
% 17.08/11.93 tff(23287,plain,
% 17.08/11.93 (((~![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))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23288,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s289, s290)) | node7(s289, s290))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23289,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s289, s290)) | node7(s289, s290)),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23288, 23287])).
% 17.08/11.93 tff(23290,plain,
% 17.08/11.93 (node7(s289, s290)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23289, 206, 23286])).
% 17.08/11.93 tff(23291,plain,
% 17.08/11.93 (((~![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(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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23292,plain,
% 17.08/11.93 (((~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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23293,plain,
% 17.08/11.93 (((~![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(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))))),
% 17.08/11.93 inference(monotonicity,[status(thm)],[23292])).
% 17.08/11.93 tff(23294,plain,
% 17.08/11.93 (((~![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(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)))),
% 17.08/11.93 inference(transitivity,[status(thm)],[23293, 23291])).
% 17.08/11.93 tff(23295,plain,
% 17.08/11.93 ((~![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(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))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23296,plain,
% 17.08/11.93 ((~![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(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))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23295, 23294])).
% 17.08/11.93 tff(23297,plain,
% 17.08/11.93 ((~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)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23296, 892, 23290])).
% 17.08/11.93 tff(23298,plain,
% 17.08/11.93 (m_main_v_state1(s290, c_c1)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23297, 23279, 23203, 23271, 23264, 23211])).
% 17.08/11.93 tff(23299,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23300,plain,
% 17.08/11.93 ((~![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)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23301,plain,
% 17.08/11.93 ((~![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))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23300, 23299])).
% 17.08/11.93 tff(23302,plain,
% 17.08/11.93 (~m_main_v_state1(s290, c_t1)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23301, 539, 23298])).
% 17.08/11.93 tff(23303,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23304,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s290, c_t1) | (~node5(s290)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23305,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s290, c_t1) | (~node5(s290))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23304, 23303])).
% 17.08/11.93 tff(23306,plain,
% 17.08/11.93 (~node5(s290)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23305, 550, 23302])).
% 17.08/11.93 tff(23307,plain,
% 17.08/11.93 (((~![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))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23308,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s289, s290)) | node14(s289, s290))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23309,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s289, s290)) | node14(s289, s290)),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23308, 23307])).
% 17.08/11.93 tff(23310,plain,
% 17.08/11.93 (node14(s289, s290)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23309, 46, 23286])).
% 17.08/11.93 tff(23311,plain,
% 17.08/11.93 (((~![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(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))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23312,plain,
% 17.08/11.93 ((~![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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | (~node14(s289, s290)) | m_main_v_state2(s290, c_t2))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23313,plain,
% 17.08/11.93 ((~![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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | (~node14(s289, s290)) | m_main_v_state2(s290, c_t2)),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23312, 23311])).
% 17.08/11.93 tff(23314,plain,
% 17.08/11.93 ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state2(s290, c_t2)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23313, 922, 23310])).
% 17.08/11.93 tff(23315,plain,
% 17.08/11.93 (m_main_v_state2(s290, c_t2)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23314, 23271, 23203])).
% 17.08/11.93 tff(23316,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23317,plain,
% 17.08/11.93 ((~![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)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23318,plain,
% 17.08/11.93 ((~![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))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23317, 23316])).
% 17.08/11.93 tff(23319,plain,
% 17.08/11.93 (~m_main_v_state2(s290, c_n2)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23318, 77, 23315])).
% 17.08/11.93 tff(23320,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23321,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s290, c_n2) | (~node4(s290)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23322,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s290, c_n2) | (~node4(s290))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23321, 23320])).
% 17.08/11.93 tff(23323,plain,
% 17.08/11.93 (~node4(s290)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23322, 388, 23319])).
% 17.08/11.93 tff(23324,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23325,plain,
% 17.08/11.93 ((~![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)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23326,plain,
% 17.08/11.93 ((~![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))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23325, 23324])).
% 17.08/11.93 tff(23327,plain,
% 17.08/11.93 (~m_main_v_state2(s290, c_c2)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23326, 260, 23315])).
% 17.08/11.93 tff(23328,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23329,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s290, c_c2) | (~node3(s290)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23330,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s290, c_c2) | (~node3(s290))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23329, 23328])).
% 17.08/11.93 tff(23331,plain,
% 17.08/11.93 (~node3(s290)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23330, 399, 23327])).
% 17.08/11.93 tff(23332,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23333,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s290, c_n2) | (~node2(s290)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23334,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s290, c_n2) | (~node2(s290))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23333, 23332])).
% 17.08/11.93 tff(23335,plain,
% 17.08/11.93 (~node2(s290)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23334, 410, 23319])).
% 17.08/11.93 tff(23336,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23337,plain,
% 17.08/11.93 ((~![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)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23338,plain,
% 17.08/11.93 ((~![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))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23337, 23336])).
% 17.08/11.93 tff(23339,plain,
% 17.08/11.93 (~m_main_v_state1(s290, c_n1)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23338, 454, 23298])).
% 17.08/11.93 tff(23340,plain,
% 17.08/11.93 (((~![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)))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23341,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s290, c_n1) | (~node1(s290)))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23342,plain,
% 17.08/11.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s290, c_n1) | (~node1(s290))),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23341, 23340])).
% 17.08/11.93 tff(23343,plain,
% 17.08/11.93 (~node1(s290)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23342, 421, 23339])).
% 17.08/11.93 tff(23344,plain,
% 17.08/11.93 (succ(s290, s291) <=> succ(s290, s291)),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23345,axiom,(succ(s290, s291)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound291')).
% 17.08/11.93 tff(23346,plain,
% 17.08/11.93 (succ(s290, s291)),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23345, 23344])).
% 17.08/11.93 tff(23347,plain,
% 17.08/11.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23348,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23349,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291)),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23348, 23347])).
% 17.08/11.93 tff(23350,plain,
% 17.08/11.93 (trans(s290, s291)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23349, 23346, 32])).
% 17.08/11.93 tff(23351,plain,
% 17.08/11.93 (((~![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))),
% 17.08/11.93 inference(rewrite,[status(thm)],[])).
% 17.08/11.93 tff(23352,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s290, s291)) | node7(s290, s291))),
% 17.08/11.93 inference(quant_inst,[status(thm)],[])).
% 17.08/11.93 tff(23353,plain,
% 17.08/11.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s290, s291)) | node7(s290, s291)),
% 17.08/11.93 inference(modus_ponens,[status(thm)],[23352, 23351])).
% 17.08/11.93 tff(23354,plain,
% 17.08/11.93 (node7(s290, s291)),
% 17.08/11.93 inference(unit_resolution,[status(thm)],[23353, 206, 23350])).
% 17.08/11.93 tff(23355,plain,
% 17.08/11.93 (((~![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(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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23356,plain,
% 17.08/11.94 (((~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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23357,plain,
% 17.08/11.94 (((~![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(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))))),
% 17.08/11.94 inference(monotonicity,[status(thm)],[23356])).
% 17.08/11.94 tff(23358,plain,
% 17.08/11.94 (((~![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(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)))),
% 17.08/11.94 inference(transitivity,[status(thm)],[23357, 23355])).
% 17.08/11.94 tff(23359,plain,
% 17.08/11.94 ((~![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(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)) | m_main_v_state1(s291, c_n1))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23360,plain,
% 17.08/11.94 ((~![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(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23359, 23358])).
% 17.08/11.94 tff(23361,plain,
% 17.08/11.94 (m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23360, 584, 23354])).
% 17.08/11.94 tff(23362,plain,
% 17.08/11.94 (m_main_v_state1(s291, c_n1)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23361, 23343, 23298, 23335, 23331, 23323, 23306])).
% 17.08/11.94 tff(23363,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23364,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s289, c_t2) | (~node15(s289)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23365,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s289, c_t2) | (~node15(s289))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23364, 23363])).
% 17.08/11.94 tff(23366,plain,
% 17.08/11.94 (~node15(s289)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23365, 103, 23275])).
% 17.08/11.94 tff(23367,plain,
% 17.08/11.94 (((~![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))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23368,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s289, s290)) | node18(s289, s290))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23369,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s289, s290)) | node18(s289, s290)),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23368, 23367])).
% 17.08/11.94 tff(23370,plain,
% 17.08/11.94 (node18(s289, s290)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23369, 125, 23286])).
% 17.08/11.94 tff(23371,plain,
% 17.08/11.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23372,plain,
% 17.08/11.94 (((~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))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23373,plain,
% 17.08/11.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 17.08/11.94 inference(monotonicity,[status(thm)],[23372])).
% 17.08/11.94 tff(23374,plain,
% 17.08/11.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 17.08/11.94 inference(transitivity,[status(thm)],[23373, 23371])).
% 17.08/11.94 tff(23375,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node15(s289) | (~node18(s289, s290)) | m_main_v_turn(s290, c_1))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23376,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23375, 23374])).
% 17.08/11.94 tff(23377,plain,
% 17.08/11.94 (node15(s289) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23376, 992, 23370])).
% 17.08/11.94 tff(23378,plain,
% 17.08/11.94 (m_main_v_turn(s290, c_1)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23377, 23366, 23203, 23271])).
% 17.08/11.94 tff(23379,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23380,plain,
% 17.08/11.94 ((~![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)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23381,plain,
% 17.08/11.94 ((~![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))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23380, 23379])).
% 17.08/11.94 tff(23382,plain,
% 17.08/11.94 (~m_main_v_turn(s290, c_2)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23381, 156, 23378])).
% 17.08/11.94 tff(23383,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23384,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s290, c_2) | (~node12(s290)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23385,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s290, c_2) | (~node12(s290))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23384, 23383])).
% 17.08/11.94 tff(23386,plain,
% 17.08/11.94 (~node12(s290)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23385, 184, 23382])).
% 17.08/11.94 tff(23387,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23388,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s290, c_n2) | (~node8(s290)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23389,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s290, c_n2) | (~node8(s290))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23388, 23387])).
% 17.08/11.94 tff(23390,plain,
% 17.08/11.94 (~node8(s290)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23389, 271, 23319])).
% 17.08/11.94 tff(23391,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23392,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s290, c_n2) | (~node9(s290)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23393,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s290, c_n2) | (~node9(s290))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23392, 23391])).
% 17.08/11.94 tff(23394,plain,
% 17.08/11.94 (~node9(s290)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23393, 88, 23319])).
% 17.08/11.94 tff(23395,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23396,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s290, c_n2) | (~node10(s290)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23397,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s290, c_n2) | (~node10(s290))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23396, 23395])).
% 17.08/11.94 tff(23398,plain,
% 17.08/11.94 (~node10(s290)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23397, 249, 23319])).
% 17.08/11.94 tff(23399,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23400,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s290, c_n1) | (~node11(s290)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23401,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s290, c_n1) | (~node11(s290))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23400, 23399])).
% 17.08/11.94 tff(23402,plain,
% 17.08/11.94 (~node11(s290)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23401, 238, 23339])).
% 17.08/11.94 tff(23403,plain,
% 17.08/11.94 (((~![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))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23404,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s290, s291)) | node14(s290, s291))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23405,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s290, s291)) | node14(s290, s291)),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23404, 23403])).
% 17.08/11.94 tff(23406,plain,
% 17.08/11.94 (node14(s290, s291)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23405, 46, 23350])).
% 17.08/11.94 tff(23407,plain,
% 17.08/11.94 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23408,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291) | (~node14(s290, s291)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23409,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291) | (~node14(s290, s291))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23408, 23407])).
% 17.08/11.94 tff(23410,plain,
% 17.08/11.94 (m_main_v_state2(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23409, 296, 23406])).
% 17.08/11.94 tff(23411,plain,
% 17.08/11.94 (node13(s290, s291)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23410, 23402, 23327, 23398, 23394, 23390, 23386])).
% 17.08/11.94 tff(23412,plain,
% 17.08/11.94 (((~![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(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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23413,plain,
% 17.08/11.94 (((~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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23414,plain,
% 17.08/11.94 (((~![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))))),
% 17.08/11.94 inference(monotonicity,[status(thm)],[23413])).
% 17.08/11.94 tff(23415,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(transitivity,[status(thm)],[23414, 23412])).
% 17.08/11.94 tff(23416,plain,
% 17.08/11.94 ((~![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))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23417,plain,
% 17.08/11.94 ((~![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(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23416, 23415])).
% 17.08/11.94 tff(23418,plain,
% 17.08/11.94 (m_main_v_state2(s291, c_t2)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23417, 518, 23315, 23411])).
% 17.08/11.94 tff(23419,plain,
% 17.08/11.94 (succ(s291, s292) <=> succ(s291, s292)),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23420,axiom,(succ(s291, s292)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound292')).
% 17.08/11.94 tff(23421,plain,
% 17.08/11.94 (succ(s291, s292)),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23420, 23419])).
% 17.08/11.94 tff(23422,plain,
% 17.08/11.94 (((~![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))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23423,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23424,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292)),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23423, 23422])).
% 17.08/11.94 tff(23425,plain,
% 17.08/11.94 (trans(s291, s292)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23424, 23421, 32])).
% 17.08/11.94 tff(23426,plain,
% 17.08/11.94 (((~![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))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23427,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s291, s292)) | node7(s291, s292))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23428,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s291, s292)) | node7(s291, s292)),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23427, 23426])).
% 17.08/11.94 tff(23429,plain,
% 17.08/11.94 (node7(s291, s292)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23428, 206, 23425])).
% 17.08/11.94 tff(23430,plain,
% 17.08/11.94 (((~![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(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))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23431,plain,
% 17.08/11.94 ((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node7(s291, s292)) | m_main_v_state1(s292, c_t1))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23432,plain,
% 17.08/11.94 ((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node7(s291, s292)) | m_main_v_state1(s292, c_t1)),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23431, 23430])).
% 17.08/11.94 tff(23433,plain,
% 17.08/11.94 ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | m_main_v_state1(s292, c_t1)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23432, 651, 23429])).
% 17.08/11.94 tff(23434,plain,
% 17.08/11.94 (m_main_v_state1(s292, c_t1)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23433, 23418, 23362])).
% 17.08/11.94 tff(23435,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23436,plain,
% 17.08/11.94 ((~![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)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23437,plain,
% 17.08/11.94 ((~![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))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23436, 23435])).
% 17.08/11.94 tff(23438,plain,
% 17.08/11.94 (~m_main_v_state1(s292, c_n1)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23437, 10, 23434])).
% 17.08/11.94 tff(23439,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23440,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s292, c_n1) | (~node1(s292)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23441,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s292, c_n1) | (~node1(s292))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23440, 23439])).
% 17.08/11.94 tff(23442,plain,
% 17.08/11.94 (~node1(s292)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23441, 421, 23438])).
% 17.08/11.94 tff(23443,plain,
% 17.08/11.94 (((~![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))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23444,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s291, s292)) | node18(s291, s292))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23445,plain,
% 17.08/11.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s291, s292)) | node18(s291, s292)),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23444, 23443])).
% 17.08/11.94 tff(23446,plain,
% 17.08/11.94 (node18(s291, s292)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23445, 125, 23425])).
% 17.08/11.94 tff(23447,plain,
% 17.08/11.94 (((~![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(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))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23448,plain,
% 17.08/11.94 ((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node18(s291, s292)) | m_main_v_turn(s292, c_2))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23449,plain,
% 17.08/11.94 ((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node18(s291, s292)) | m_main_v_turn(s292, c_2)),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23448, 23447])).
% 17.08/11.94 tff(23450,plain,
% 17.08/11.94 ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | m_main_v_turn(s292, c_2)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23449, 760, 23446])).
% 17.08/11.94 tff(23451,plain,
% 17.08/11.94 (m_main_v_turn(s292, c_2)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23450, 23418, 23362])).
% 17.08/11.94 tff(23452,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23453,plain,
% 17.08/11.94 ((~![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)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23454,plain,
% 17.08/11.94 ((~![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))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23453, 23452])).
% 17.08/11.94 tff(23455,plain,
% 17.08/11.94 (~m_main_v_turn(s292, c_1)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23454, 156, 23451])).
% 17.08/11.94 tff(23456,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23457,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s292, c_1) | (~node5(s292)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23458,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s292, c_1) | (~node5(s292))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23457, 23456])).
% 17.08/11.94 tff(23459,plain,
% 17.08/11.94 (~node5(s292)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23458, 776, 23455])).
% 17.08/11.94 tff(23460,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23461,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s292, c_n1) | (~node2(s292)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23462,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s292, c_n1) | (~node2(s292))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23461, 23460])).
% 17.08/11.94 tff(23463,plain,
% 17.08/11.94 (~node2(s292)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23462, 787, 23438])).
% 17.08/11.94 tff(23464,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23465,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s292, c_n1) | (~node3(s292)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23466,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s292, c_n1) | (~node3(s292))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23465, 23464])).
% 17.08/11.94 tff(23467,plain,
% 17.08/11.94 (~node3(s292)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23466, 798, 23438])).
% 17.08/11.94 tff(23468,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23469,plain,
% 17.08/11.94 ((~![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)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23470,plain,
% 17.08/11.94 ((~![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))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23469, 23468])).
% 17.08/11.94 tff(23471,plain,
% 17.08/11.94 (~m_main_v_state1(s292, c_c1)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23470, 539, 23434])).
% 17.08/11.94 tff(23472,plain,
% 17.08/11.94 (((~![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(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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23473,plain,
% 17.08/11.94 (((~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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23474,plain,
% 17.08/11.94 (((~![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))))),
% 17.08/11.94 inference(monotonicity,[status(thm)],[23473])).
% 17.08/11.94 tff(23475,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(transitivity,[status(thm)],[23474, 23472])).
% 17.08/11.94 tff(23476,plain,
% 17.08/11.94 ((~![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)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23477,plain,
% 17.08/11.94 ((~![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(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23476, 23475])).
% 17.08/11.94 tff(23478,plain,
% 17.08/11.94 (~m_main_v_state2(s291, c_n2)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23477, 311, 23319, 23411])).
% 17.08/11.94 tff(23479,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23480,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s291, c_n2) | (~node9(s291)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23481,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s291, c_n2) | (~node9(s291))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23480, 23479])).
% 17.08/11.94 tff(23482,plain,
% 17.08/11.94 (~node9(s291)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23481, 88, 23478])).
% 17.08/11.94 tff(23483,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23484,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s291, c_n2) | (~node10(s291)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23485,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s291, c_n2) | (~node10(s291))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23484, 23483])).
% 17.08/11.94 tff(23486,plain,
% 17.08/11.94 (~node10(s291)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23485, 249, 23478])).
% 17.08/11.94 tff(23487,plain,
% 17.08/11.94 (((~![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)))),
% 17.08/11.94 inference(rewrite,[status(thm)],[])).
% 17.08/11.94 tff(23488,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s291, c_n2) | (~node8(s291)))),
% 17.08/11.94 inference(quant_inst,[status(thm)],[])).
% 17.08/11.94 tff(23489,plain,
% 17.08/11.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s291, c_n2) | (~node8(s291))),
% 17.08/11.94 inference(modus_ponens,[status(thm)],[23488, 23487])).
% 17.08/11.94 tff(23490,plain,
% 17.08/11.94 (~node8(s291)),
% 17.08/11.94 inference(unit_resolution,[status(thm)],[23489, 271, 23478])).
% 17.08/11.94 tff(23491,plain,
% 17.08/11.94 (((~![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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23492,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s291, s292)) | node14(s291, s292))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23493,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s291, s292)) | node14(s291, s292)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23492, 23491])).
% 17.08/11.95 tff(23494,plain,
% 17.08/11.95 (node14(s291, s292)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23493, 46, 23425])).
% 17.08/11.95 tff(23495,plain,
% 17.08/11.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23496,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23497,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23496, 23495])).
% 17.08/11.95 tff(23498,plain,
% 17.08/11.95 ((~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)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23497, 617, 23494])).
% 17.08/11.95 tff(23499,plain,
% 17.08/11.95 (m_main_v_state2(s292, c_c2)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23498, 23490, 23362, 23418, 23486, 23482])).
% 17.08/11.95 tff(23500,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23501,plain,
% 17.08/11.95 ((~![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)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23502,plain,
% 17.08/11.95 ((~![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))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23501, 23500])).
% 17.08/11.95 tff(23503,plain,
% 17.08/11.95 (~m_main_v_state2(s292, c_n2)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23502, 697, 23499])).
% 17.08/11.95 tff(23504,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23505,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s292, c_n2) | (~node4(s292)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23506,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s292, c_n2) | (~node4(s292))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23505, 23504])).
% 17.08/11.95 tff(23507,plain,
% 17.08/11.95 (~node4(s292)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23506, 388, 23503])).
% 17.08/11.95 tff(23508,plain,
% 17.08/11.95 (succ(s292, s293) <=> succ(s292, s293)),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23509,axiom,(succ(s292, s293)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound293')).
% 17.08/11.95 tff(23510,plain,
% 17.08/11.95 (succ(s292, s293)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23509, 23508])).
% 17.08/11.95 tff(23511,plain,
% 17.08/11.95 (((~![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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23512,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23513,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23512, 23511])).
% 17.08/11.95 tff(23514,plain,
% 17.08/11.95 (trans(s292, s293)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23513, 23510, 32])).
% 17.08/11.95 tff(23515,plain,
% 17.08/11.95 (((~![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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23516,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s292, s293)) | node7(s292, s293))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23517,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s292, s293)) | node7(s292, s293)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23516, 23515])).
% 17.08/11.95 tff(23518,plain,
% 17.08/11.95 (node7(s292, s293)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23517, 206, 23514])).
% 17.08/11.95 tff(23519,plain,
% 17.08/11.95 (((~![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(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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23520,plain,
% 17.08/11.95 ((~![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(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293) | (~node7(s292, s293)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23521,plain,
% 17.08/11.95 ((~![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(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293) | (~node7(s292, s293))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23520, 23519])).
% 17.08/11.95 tff(23522,plain,
% 17.08/11.95 (m_main_v_state1(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23521, 820, 23518])).
% 17.08/11.95 tff(23523,plain,
% 17.08/11.95 (node6(s292, s293)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23522, 23507, 23471, 23467, 23463, 23459, 23442])).
% 17.08/11.95 tff(23524,plain,
% 17.08/11.95 (((~![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(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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23525,plain,
% 17.08/11.95 (((~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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23526,plain,
% 17.08/11.95 (((~![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))))),
% 17.08/11.95 inference(monotonicity,[status(thm)],[23525])).
% 17.08/11.95 tff(23527,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(transitivity,[status(thm)],[23526, 23524])).
% 17.08/11.95 tff(23528,plain,
% 17.08/11.95 ((~![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))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23529,plain,
% 17.08/11.95 ((~![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(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23528, 23527])).
% 17.08/11.95 tff(23530,plain,
% 17.08/11.95 (m_main_v_state1(s293, c_t1)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23529, 856, 23434, 23523])).
% 17.08/11.95 tff(23531,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23532,plain,
% 17.08/11.95 ((~![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)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23533,plain,
% 17.08/11.95 ((~![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))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23532, 23531])).
% 17.08/11.95 tff(23534,plain,
% 17.08/11.95 (~m_main_v_state2(s292, c_t2)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23533, 260, 23499])).
% 17.08/11.95 tff(23535,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23536,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s292, c_t2) | (~node12(s292)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23537,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s292, c_t2) | (~node12(s292))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23536, 23535])).
% 17.08/11.95 tff(23538,plain,
% 17.08/11.95 (~node12(s292)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23537, 633, 23534])).
% 17.08/11.95 tff(23539,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23540,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s292, c_n1) | (~node11(s292)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23541,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s292, c_n1) | (~node11(s292))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23540, 23539])).
% 17.08/11.95 tff(23542,plain,
% 17.08/11.95 (~node11(s292)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23541, 238, 23438])).
% 17.08/11.95 tff(23543,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23544,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s292, c_c1) | (~node10(s292)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23545,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s292, c_c1) | (~node10(s292))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23544, 23543])).
% 17.08/11.95 tff(23546,plain,
% 17.08/11.95 (~node10(s292)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23545, 675, 23471])).
% 17.08/11.95 tff(23547,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23548,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s292, c_n1) | (~node9(s292)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23549,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s292, c_n1) | (~node9(s292))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23548, 23547])).
% 17.08/11.95 tff(23550,plain,
% 17.08/11.95 (~node9(s292)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23549, 686, 23438])).
% 17.08/11.95 tff(23551,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23552,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s292, c_n2) | (~node8(s292)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23553,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s292, c_n2) | (~node8(s292))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23552, 23551])).
% 17.08/11.95 tff(23554,plain,
% 17.08/11.95 (~node8(s292)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23553, 271, 23503])).
% 17.08/11.95 tff(23555,plain,
% 17.08/11.95 (((~![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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23556,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s292, s293)) | node14(s292, s293))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23557,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s292, s293)) | node14(s292, s293)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23556, 23555])).
% 17.08/11.95 tff(23558,plain,
% 17.08/11.95 (node14(s292, s293)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23557, 46, 23514])).
% 17.08/11.95 tff(23559,plain,
% 17.08/11.95 (((~![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(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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23560,plain,
% 17.08/11.95 (((~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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23561,plain,
% 17.08/11.95 (((~![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(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))))),
% 17.08/11.95 inference(monotonicity,[status(thm)],[23560])).
% 17.08/11.95 tff(23562,plain,
% 17.08/11.95 (((~![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(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)))),
% 17.08/11.95 inference(transitivity,[status(thm)],[23561, 23559])).
% 17.08/11.95 tff(23563,plain,
% 17.08/11.95 ((~![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(s292, c_c2)) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | m_main_v_state2(s293, c_n2))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23564,plain,
% 17.08/11.95 ((~![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(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23563, 23562])).
% 17.08/11.95 tff(23565,plain,
% 17.08/11.95 (m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~m_main_v_state2(s292, c_c2))),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23564, 726, 23558])).
% 17.08/11.95 tff(23566,plain,
% 17.08/11.95 (m_main_v_state2(s293, c_n2)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23565, 23554, 23499, 23550, 23546, 23542, 23538])).
% 17.08/11.95 tff(23567,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23568,plain,
% 17.08/11.95 ((~![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)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23569,plain,
% 17.08/11.95 ((~![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))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23568, 23567])).
% 17.08/11.95 tff(23570,plain,
% 17.08/11.95 (~m_main_v_state2(s293, c_t2)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23569, 77, 23566])).
% 17.08/11.95 tff(23571,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23572,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s293, c_t2) | (~node15(s293)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23573,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s293, c_t2) | (~node15(s293))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23572, 23571])).
% 17.08/11.95 tff(23574,plain,
% 17.08/11.95 (~node15(s293)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23573, 103, 23570])).
% 17.08/11.95 tff(23575,plain,
% 17.08/11.95 (succ(s293, s294) <=> succ(s293, s294)),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23576,axiom,(succ(s293, s294)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound294')).
% 17.08/11.95 tff(23577,plain,
% 17.08/11.95 (succ(s293, s294)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23576, 23575])).
% 17.08/11.95 tff(23578,plain,
% 17.08/11.95 (((~![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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23579,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23580,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23579, 23578])).
% 17.08/11.95 tff(23581,plain,
% 17.08/11.95 (trans(s293, s294)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23580, 23577, 32])).
% 17.08/11.95 tff(23582,plain,
% 17.08/11.95 (((~![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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23583,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s293, s294)) | node18(s293, s294))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23584,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s293, s294)) | node18(s293, s294)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23583, 23582])).
% 17.08/11.95 tff(23585,plain,
% 17.08/11.95 (node18(s293, s294)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23584, 125, 23581])).
% 17.08/11.95 tff(23586,plain,
% 17.08/11.95 (((~![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(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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23587,plain,
% 17.08/11.95 (((~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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23588,plain,
% 17.08/11.95 (((~![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(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)))),
% 17.08/11.95 inference(monotonicity,[status(thm)],[23587])).
% 17.08/11.95 tff(23589,plain,
% 17.08/11.95 (((~![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(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))),
% 17.08/11.95 inference(transitivity,[status(thm)],[23588, 23586])).
% 17.08/11.95 tff(23590,plain,
% 17.08/11.95 ((~![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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node15(s293) | (~node18(s293, s294)) | m_main_v_turn(s294, c_1))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23591,plain,
% 17.08/11.95 ((~![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(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)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23590, 23589])).
% 17.08/11.95 tff(23592,plain,
% 17.08/11.95 (node15(s293) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23591, 992, 23585])).
% 17.08/11.95 tff(23593,plain,
% 17.08/11.95 (m_main_v_turn(s294, c_1)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23592, 23574, 23566, 23530])).
% 17.08/11.95 tff(23594,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23595,plain,
% 17.08/11.95 ((~![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)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23596,plain,
% 17.08/11.95 ((~![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))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23595, 23594])).
% 17.08/11.95 tff(23597,plain,
% 17.08/11.95 (~m_main_v_turn(s294, c_2)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23596, 156, 23593])).
% 17.08/11.95 tff(23598,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23599,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s294, c_2) | (~node12(s294)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23600,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s294, c_2) | (~node12(s294))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23599, 23598])).
% 17.08/11.95 tff(23601,plain,
% 17.08/11.95 (~node12(s294)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23600, 184, 23597])).
% 17.08/11.95 tff(23602,plain,
% 17.08/11.95 (((~![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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23603,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s293, s294)) | node14(s293, s294))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23604,plain,
% 17.08/11.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s293, s294)) | node14(s293, s294)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23603, 23602])).
% 17.08/11.95 tff(23605,plain,
% 17.08/11.95 (node14(s293, s294)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23604, 46, 23581])).
% 17.08/11.95 tff(23606,plain,
% 17.08/11.95 (((~![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(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))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23607,plain,
% 17.08/11.95 ((~![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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | (~node14(s293, s294)) | m_main_v_state2(s294, c_t2))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23608,plain,
% 17.08/11.95 ((~![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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | (~node14(s293, s294)) | m_main_v_state2(s294, c_t2)),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23607, 23606])).
% 17.08/11.95 tff(23609,plain,
% 17.08/11.95 ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state2(s294, c_t2)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23608, 922, 23605])).
% 17.08/11.95 tff(23610,plain,
% 17.08/11.95 (m_main_v_state2(s294, c_t2)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23609, 23530, 23566])).
% 17.08/11.95 tff(23611,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23612,plain,
% 17.08/11.95 ((~![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)))),
% 17.08/11.95 inference(quant_inst,[status(thm)],[])).
% 17.08/11.95 tff(23613,plain,
% 17.08/11.95 ((~![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))),
% 17.08/11.95 inference(modus_ponens,[status(thm)],[23612, 23611])).
% 17.08/11.95 tff(23614,plain,
% 17.08/11.95 (~m_main_v_state2(s294, c_n2)),
% 17.08/11.95 inference(unit_resolution,[status(thm)],[23613, 77, 23610])).
% 17.08/11.95 tff(23615,plain,
% 17.08/11.95 (((~![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)))),
% 17.08/11.95 inference(rewrite,[status(thm)],[])).
% 17.08/11.95 tff(23616,plain,
% 17.08/11.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s294, c_n2) | (~node8(s294)))),
% 17.16/11.95 inference(quant_inst,[status(thm)],[])).
% 17.16/11.95 tff(23617,plain,
% 17.16/11.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s294, c_n2) | (~node8(s294))),
% 17.16/11.95 inference(modus_ponens,[status(thm)],[23616, 23615])).
% 17.16/11.95 tff(23618,plain,
% 17.16/11.95 (~node8(s294)),
% 17.16/11.95 inference(unit_resolution,[status(thm)],[23617, 271, 23614])).
% 17.16/11.95 tff(23619,plain,
% 17.16/11.95 (((~![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)))),
% 17.16/11.95 inference(rewrite,[status(thm)],[])).
% 17.16/11.95 tff(23620,plain,
% 17.16/11.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s294, c_n2) | (~node9(s294)))),
% 17.16/11.95 inference(quant_inst,[status(thm)],[])).
% 17.16/11.95 tff(23621,plain,
% 17.16/11.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s294, c_n2) | (~node9(s294))),
% 17.16/11.95 inference(modus_ponens,[status(thm)],[23620, 23619])).
% 17.16/11.95 tff(23622,plain,
% 17.16/11.95 (~node9(s294)),
% 17.16/11.95 inference(unit_resolution,[status(thm)],[23621, 88, 23614])).
% 17.16/11.95 tff(23623,plain,
% 17.16/11.95 (((~![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)))),
% 17.16/11.95 inference(rewrite,[status(thm)],[])).
% 17.16/11.95 tff(23624,plain,
% 17.16/11.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s294, c_n2) | (~node10(s294)))),
% 17.16/11.95 inference(quant_inst,[status(thm)],[])).
% 17.16/11.95 tff(23625,plain,
% 17.16/11.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s294, c_n2) | (~node10(s294))),
% 17.16/11.95 inference(modus_ponens,[status(thm)],[23624, 23623])).
% 17.16/11.95 tff(23626,plain,
% 17.16/11.95 (~node10(s294)),
% 17.16/11.95 inference(unit_resolution,[status(thm)],[23625, 249, 23614])).
% 17.16/11.95 tff(23627,plain,
% 17.16/11.95 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23628,plain,
% 17.16/11.96 ((~![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)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23629,plain,
% 17.16/11.96 ((~![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))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23628, 23627])).
% 17.16/11.96 tff(23630,plain,
% 17.16/11.96 (~m_main_v_state2(s294, c_c2)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23629, 260, 23610])).
% 17.16/11.96 tff(23631,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23632,plain,
% 17.16/11.96 ((~![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)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23633,plain,
% 17.16/11.96 ((~![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))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23632, 23631])).
% 17.16/11.96 tff(23634,plain,
% 17.16/11.96 (~m_main_v_state2(s293, c_c2)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23633, 697, 23566])).
% 17.16/11.96 tff(23635,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23636,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s293, c_c2) | (~node3(s293)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23637,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s293, c_c2) | (~node3(s293))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23636, 23635])).
% 17.16/11.96 tff(23638,plain,
% 17.16/11.96 (~node3(s293)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23637, 399, 23634])).
% 17.16/11.96 tff(23639,plain,
% 17.16/11.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23640,plain,
% 17.16/11.96 (((~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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23641,plain,
% 17.16/11.96 (((~![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))))),
% 17.16/11.96 inference(monotonicity,[status(thm)],[23640])).
% 17.16/11.96 tff(23642,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(transitivity,[status(thm)],[23641, 23639])).
% 17.16/11.96 tff(23643,plain,
% 17.16/11.96 ((~![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)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23644,plain,
% 17.16/11.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23643, 23642])).
% 17.16/11.96 tff(23645,plain,
% 17.16/11.96 (~m_main_v_state1(s293, c_n1)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23644, 835, 23438, 23523])).
% 17.16/11.96 tff(23646,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23647,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s293, c_n1) | (~node2(s293)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23648,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s293, c_n1) | (~node2(s293))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23647, 23646])).
% 17.16/11.96 tff(23649,plain,
% 17.16/11.96 (~node2(s293)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23648, 787, 23645])).
% 17.16/11.96 tff(23650,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23651,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s293, c_t2) | (~node1(s293)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23652,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s293, c_t2) | (~node1(s293))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23651, 23650])).
% 17.16/11.96 tff(23653,plain,
% 17.16/11.96 (~node1(s293)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23652, 195, 23570])).
% 17.16/11.96 tff(23654,plain,
% 17.16/11.96 (((~![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))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23655,plain,
% 17.16/11.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s293, s294)) | node7(s293, s294))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23656,plain,
% 17.16/11.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s293, s294)) | node7(s293, s294)),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23655, 23654])).
% 17.16/11.96 tff(23657,plain,
% 17.16/11.96 (node7(s293, s294)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23656, 206, 23581])).
% 17.16/11.96 tff(23658,plain,
% 17.16/11.96 (((~![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(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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23659,plain,
% 17.16/11.96 (((~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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23660,plain,
% 17.16/11.96 (((~![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(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))))),
% 17.16/11.96 inference(monotonicity,[status(thm)],[23659])).
% 17.16/11.96 tff(23661,plain,
% 17.16/11.96 (((~![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(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)))),
% 17.16/11.96 inference(transitivity,[status(thm)],[23660, 23658])).
% 17.16/11.96 tff(23662,plain,
% 17.16/11.96 ((~![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(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))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23663,plain,
% 17.16/11.96 ((~![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(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))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23662, 23661])).
% 17.16/11.96 tff(23664,plain,
% 17.16/11.96 ((~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)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23663, 892, 23657])).
% 17.16/11.96 tff(23665,plain,
% 17.16/11.96 (m_main_v_state1(s294, c_c1)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23664, 23653, 23566, 23530, 23649, 23638])).
% 17.16/11.96 tff(23666,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23667,plain,
% 17.16/11.96 ((~![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)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23668,plain,
% 17.16/11.96 ((~![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))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23667, 23666])).
% 17.16/11.96 tff(23669,plain,
% 17.16/11.96 (~m_main_v_state1(s294, c_n1)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23668, 454, 23665])).
% 17.16/11.96 tff(23670,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23671,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s294, c_n1) | (~node11(s294)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23672,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s294, c_n1) | (~node11(s294))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23671, 23670])).
% 17.16/11.96 tff(23673,plain,
% 17.16/11.96 (~node11(s294)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23672, 238, 23669])).
% 17.16/11.96 tff(23674,plain,
% 17.16/11.96 (succ(s294, s295) <=> succ(s294, s295)),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23675,axiom,(succ(s294, s295)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound295')).
% 17.16/11.96 tff(23676,plain,
% 17.16/11.96 (succ(s294, s295)),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23675, 23674])).
% 17.16/11.96 tff(23677,plain,
% 17.16/11.96 (((~![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))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23678,plain,
% 17.16/11.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23679,plain,
% 17.16/11.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295)),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23678, 23677])).
% 17.16/11.96 tff(23680,plain,
% 17.16/11.96 (trans(s294, s295)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23679, 23676, 32])).
% 17.16/11.96 tff(23681,plain,
% 17.16/11.96 (((~![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))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23682,plain,
% 17.16/11.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s294, s295)) | node14(s294, s295))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23683,plain,
% 17.16/11.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s294, s295)) | node14(s294, s295)),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23682, 23681])).
% 17.16/11.96 tff(23684,plain,
% 17.16/11.96 (node14(s294, s295)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23683, 46, 23680])).
% 17.16/11.96 tff(23685,plain,
% 17.16/11.96 (((~![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(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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23686,plain,
% 17.16/11.96 ((~![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(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295) | (~node14(s294, s295)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23687,plain,
% 17.16/11.96 ((~![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(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295) | (~node14(s294, s295))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23686, 23685])).
% 17.16/11.96 tff(23688,plain,
% 17.16/11.96 (m_main_v_state2(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23687, 296, 23684])).
% 17.16/11.96 tff(23689,plain,
% 17.16/11.96 (node13(s294, s295)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23688, 23673, 23630, 23626, 23622, 23618, 23601])).
% 17.16/11.96 tff(23690,plain,
% 17.16/11.96 (((~![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(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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23691,plain,
% 17.16/11.96 (((~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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23692,plain,
% 17.16/11.96 (((~![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))))),
% 17.16/11.96 inference(monotonicity,[status(thm)],[23691])).
% 17.16/11.96 tff(23693,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(transitivity,[status(thm)],[23692, 23690])).
% 17.16/11.96 tff(23694,plain,
% 17.16/11.96 ((~![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)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23695,plain,
% 17.16/11.96 ((~![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(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23694, 23693])).
% 17.16/11.96 tff(23696,plain,
% 17.16/11.96 (~m_main_v_state2(s295, c_n2)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23695, 311, 23614, 23689])).
% 17.16/11.96 tff(23697,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23698,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s295, c_n2) | (~node9(s295)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23699,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s295, c_n2) | (~node9(s295))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23698, 23697])).
% 17.16/11.96 tff(23700,plain,
% 17.16/11.96 (~node9(s295)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23699, 88, 23696])).
% 17.16/11.96 tff(23701,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23702,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s295, c_n2) | (~node10(s295)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23703,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s295, c_n2) | (~node10(s295))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23702, 23701])).
% 17.16/11.96 tff(23704,plain,
% 17.16/11.96 (~node10(s295)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23703, 249, 23696])).
% 17.16/11.96 tff(23705,plain,
% 17.16/11.96 (((~![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(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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23706,plain,
% 17.16/11.96 (((~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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23707,plain,
% 17.16/11.96 (((~![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))))),
% 17.16/11.96 inference(monotonicity,[status(thm)],[23706])).
% 17.16/11.96 tff(23708,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(transitivity,[status(thm)],[23707, 23705])).
% 17.16/11.96 tff(23709,plain,
% 17.16/11.96 ((~![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))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23710,plain,
% 17.16/11.96 ((~![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(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23709, 23708])).
% 17.16/11.96 tff(23711,plain,
% 17.16/11.96 (m_main_v_state2(s295, c_t2)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23710, 518, 23610, 23689])).
% 17.16/11.96 tff(23712,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23713,plain,
% 17.16/11.96 ((~![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)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23714,plain,
% 17.16/11.96 ((~![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))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23713, 23712])).
% 17.16/11.96 tff(23715,plain,
% 17.16/11.96 (~m_main_v_state1(s294, c_t1)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23714, 539, 23665])).
% 17.16/11.96 tff(23716,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23717,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s294, c_t1) | (~node5(s294)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23718,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s294, c_t1) | (~node5(s294))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23717, 23716])).
% 17.16/11.96 tff(23719,plain,
% 17.16/11.96 (~node5(s294)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23718, 550, 23715])).
% 17.16/11.96 tff(23720,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23721,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s294, c_n2) | (~node4(s294)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23722,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s294, c_n2) | (~node4(s294))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23721, 23720])).
% 17.16/11.96 tff(23723,plain,
% 17.16/11.96 (~node4(s294)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23722, 388, 23614])).
% 17.16/11.96 tff(23724,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23725,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s294, c_c2) | (~node3(s294)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23726,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s294, c_c2) | (~node3(s294))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23725, 23724])).
% 17.16/11.96 tff(23727,plain,
% 17.16/11.96 (~node3(s294)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23726, 399, 23630])).
% 17.16/11.96 tff(23728,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23729,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s294, c_n2) | (~node2(s294)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23730,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s294, c_n2) | (~node2(s294))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23729, 23728])).
% 17.16/11.96 tff(23731,plain,
% 17.16/11.96 (~node2(s294)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23730, 410, 23614])).
% 17.16/11.96 tff(23732,plain,
% 17.16/11.96 (((~![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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23733,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s294, c_n1) | (~node1(s294)))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23734,plain,
% 17.16/11.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s294, c_n1) | (~node1(s294))),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23733, 23732])).
% 17.16/11.96 tff(23735,plain,
% 17.16/11.96 (~node1(s294)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23734, 421, 23669])).
% 17.16/11.96 tff(23736,plain,
% 17.16/11.96 (((~![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))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23737,plain,
% 17.16/11.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s294, s295)) | node7(s294, s295))),
% 17.16/11.96 inference(quant_inst,[status(thm)],[])).
% 17.16/11.96 tff(23738,plain,
% 17.16/11.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s294, s295)) | node7(s294, s295)),
% 17.16/11.96 inference(modus_ponens,[status(thm)],[23737, 23736])).
% 17.16/11.96 tff(23739,plain,
% 17.16/11.96 (node7(s294, s295)),
% 17.16/11.96 inference(unit_resolution,[status(thm)],[23738, 206, 23680])).
% 17.16/11.96 tff(23740,plain,
% 17.16/11.96 (((~![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(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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23741,plain,
% 17.16/11.96 (((~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)))),
% 17.16/11.96 inference(rewrite,[status(thm)],[])).
% 17.16/11.96 tff(23742,plain,
% 17.16/11.96 (((~![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(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))))),
% 17.16/11.97 inference(monotonicity,[status(thm)],[23741])).
% 17.16/11.97 tff(23743,plain,
% 17.16/11.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 17.16/11.97 inference(transitivity,[status(thm)],[23742, 23740])).
% 17.16/11.97 tff(23744,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)) | m_main_v_state1(s295, c_n1))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23745,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23744, 23743])).
% 17.16/11.97 tff(23746,plain,
% 17.16/11.97 (m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23745, 584, 23739])).
% 17.16/11.97 tff(23747,plain,
% 17.16/11.97 (m_main_v_state1(s295, c_n1)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23746, 23735, 23665, 23731, 23727, 23723, 23719])).
% 17.16/11.97 tff(23748,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23749,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s295, c_n2) | (~node8(s295)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23750,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s295, c_n2) | (~node8(s295))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23749, 23748])).
% 17.16/11.97 tff(23751,plain,
% 17.16/11.97 (~node8(s295)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23750, 271, 23696])).
% 17.16/11.97 tff(23752,plain,
% 17.16/11.97 (succ(s295, s296) <=> succ(s295, s296)),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23753,axiom,(succ(s295, s296)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound296')).
% 17.16/11.97 tff(23754,plain,
% 17.16/11.97 (succ(s295, s296)),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23753, 23752])).
% 17.16/11.97 tff(23755,plain,
% 17.16/11.97 (((~![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))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23756,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23757,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296)),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23756, 23755])).
% 17.16/11.97 tff(23758,plain,
% 17.16/11.97 (trans(s295, s296)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23757, 23754, 32])).
% 17.16/11.97 tff(23759,plain,
% 17.16/11.97 (((~![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))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23760,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s295, s296)) | node14(s295, s296))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23761,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s295, s296)) | node14(s295, s296)),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23760, 23759])).
% 17.16/11.97 tff(23762,plain,
% 17.16/11.97 (node14(s295, s296)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23761, 46, 23758])).
% 17.16/11.97 tff(23763,plain,
% 17.16/11.97 (((~![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(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))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23764,plain,
% 17.16/11.97 ((~![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(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))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23765,plain,
% 17.16/11.97 ((~![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(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)),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23764, 23763])).
% 17.16/11.97 tff(23766,plain,
% 17.16/11.97 ((~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)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23765, 617, 23762])).
% 17.16/11.97 tff(23767,plain,
% 17.16/11.97 (m_main_v_state2(s296, c_c2)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23766, 23751, 23747, 23711, 23704, 23700])).
% 17.16/11.97 tff(23768,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23769,plain,
% 17.16/11.97 ((~![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)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23770,plain,
% 17.16/11.97 ((~![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))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23769, 23768])).
% 17.16/11.97 tff(23771,plain,
% 17.16/11.97 (~m_main_v_state2(s296, c_t2)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23770, 260, 23767])).
% 17.16/11.97 tff(23772,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23773,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s296, c_t2) | (~node12(s296)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23774,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s296, c_t2) | (~node12(s296))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23773, 23772])).
% 17.16/11.97 tff(23775,plain,
% 17.16/11.97 (~node12(s296)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23774, 633, 23771])).
% 17.16/11.97 tff(23776,plain,
% 17.16/11.97 (((~![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))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23777,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s295, s296)) | node7(s295, s296))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23778,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s295, s296)) | node7(s295, s296)),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23777, 23776])).
% 17.16/11.97 tff(23779,plain,
% 17.16/11.97 (node7(s295, s296)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23778, 206, 23758])).
% 17.16/11.97 tff(23780,plain,
% 17.16/11.97 (((~![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(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))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23781,plain,
% 17.16/11.97 ((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node7(s295, s296)) | m_main_v_state1(s296, c_t1))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23782,plain,
% 17.16/11.97 ((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node7(s295, s296)) | m_main_v_state1(s296, c_t1)),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23781, 23780])).
% 17.16/11.97 tff(23783,plain,
% 17.16/11.97 ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | m_main_v_state1(s296, c_t1)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23782, 651, 23779])).
% 17.16/11.97 tff(23784,plain,
% 17.16/11.97 (m_main_v_state1(s296, c_t1)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23783, 23711, 23747])).
% 17.16/11.97 tff(23785,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23786,plain,
% 17.16/11.97 ((~![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)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23787,plain,
% 17.16/11.97 ((~![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))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23786, 23785])).
% 17.16/11.97 tff(23788,plain,
% 17.16/11.97 (~m_main_v_state1(s296, c_n1)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23787, 10, 23784])).
% 17.16/11.97 tff(23789,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23790,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s296, c_n1) | (~node11(s296)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23791,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s296, c_n1) | (~node11(s296))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23790, 23789])).
% 17.16/11.97 tff(23792,plain,
% 17.16/11.97 (~node11(s296)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23791, 238, 23788])).
% 17.16/11.97 tff(23793,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23794,plain,
% 17.16/11.97 ((~![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)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23795,plain,
% 17.16/11.97 ((~![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))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23794, 23793])).
% 17.16/11.97 tff(23796,plain,
% 17.16/11.97 (~m_main_v_state1(s296, c_c1)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23795, 539, 23784])).
% 17.16/11.97 tff(23797,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23798,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s296, c_c1) | (~node10(s296)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23799,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s296, c_c1) | (~node10(s296))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23798, 23797])).
% 17.16/11.97 tff(23800,plain,
% 17.16/11.97 (~node10(s296)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23799, 675, 23796])).
% 17.16/11.97 tff(23801,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23802,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s296, c_n1) | (~node9(s296)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23803,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s296, c_n1) | (~node9(s296))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23802, 23801])).
% 17.16/11.97 tff(23804,plain,
% 17.16/11.97 (~node9(s296)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23803, 686, 23788])).
% 17.16/11.97 tff(23805,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23806,plain,
% 17.16/11.97 ((~![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)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23807,plain,
% 17.16/11.97 ((~![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))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23806, 23805])).
% 17.16/11.97 tff(23808,plain,
% 17.16/11.97 (~m_main_v_state2(s296, c_n2)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23807, 697, 23767])).
% 17.16/11.97 tff(23809,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23810,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s296, c_n2) | (~node8(s296)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23811,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s296, c_n2) | (~node8(s296))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23810, 23809])).
% 17.16/11.97 tff(23812,plain,
% 17.16/11.97 (~node8(s296)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23811, 271, 23808])).
% 17.16/11.97 tff(23813,plain,
% 17.16/11.97 (succ(s296, s297) <=> succ(s296, s297)),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23814,axiom,(succ(s296, s297)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound297')).
% 17.16/11.97 tff(23815,plain,
% 17.16/11.97 (succ(s296, s297)),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23814, 23813])).
% 17.16/11.97 tff(23816,plain,
% 17.16/11.97 (((~![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))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23817,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23818,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297)),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23817, 23816])).
% 17.16/11.97 tff(23819,plain,
% 17.16/11.97 (trans(s296, s297)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23818, 23815, 32])).
% 17.16/11.97 tff(23820,plain,
% 17.16/11.97 (((~![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))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23821,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s296, s297)) | node14(s296, s297))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23822,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s296, s297)) | node14(s296, s297)),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23821, 23820])).
% 17.16/11.97 tff(23823,plain,
% 17.16/11.97 (node14(s296, s297)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23822, 46, 23819])).
% 17.16/11.97 tff(23824,plain,
% 17.16/11.97 (((~![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(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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23825,plain,
% 17.16/11.97 (((~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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23826,plain,
% 17.16/11.97 (((~![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(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))))),
% 17.16/11.97 inference(monotonicity,[status(thm)],[23825])).
% 17.16/11.97 tff(23827,plain,
% 17.16/11.97 (((~![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(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)))),
% 17.16/11.97 inference(transitivity,[status(thm)],[23826, 23824])).
% 17.16/11.97 tff(23828,plain,
% 17.16/11.97 ((~![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(s296, c_c2)) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | m_main_v_state2(s297, c_n2))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23829,plain,
% 17.16/11.97 ((~![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(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23828, 23827])).
% 17.16/11.97 tff(23830,plain,
% 17.16/11.97 (m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~m_main_v_state2(s296, c_c2))),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23829, 726, 23823])).
% 17.16/11.97 tff(23831,plain,
% 17.16/11.97 (m_main_v_state2(s297, c_n2)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23830, 23812, 23767, 23804, 23800, 23792, 23775])).
% 17.16/11.97 tff(23832,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23833,plain,
% 17.16/11.97 ((~![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)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23834,plain,
% 17.16/11.97 ((~![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))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23833, 23832])).
% 17.16/11.97 tff(23835,plain,
% 17.16/11.97 (~m_main_v_state2(s297, c_c2)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23834, 697, 23831])).
% 17.16/11.97 tff(23836,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23837,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s297, c_c2) | (~node3(s297)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23838,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s297, c_c2) | (~node3(s297))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23837, 23836])).
% 17.16/11.97 tff(23839,plain,
% 17.16/11.97 (~node3(s297)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23838, 399, 23835])).
% 17.16/11.97 tff(23840,plain,
% 17.16/11.97 (((~![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)))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23841,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s296, c_n1) | (~node1(s296)))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23842,plain,
% 17.16/11.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s296, c_n1) | (~node1(s296))),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23841, 23840])).
% 17.16/11.97 tff(23843,plain,
% 17.16/11.97 (~node1(s296)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23842, 421, 23788])).
% 17.16/11.97 tff(23844,plain,
% 17.16/11.97 (((~![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))),
% 17.16/11.97 inference(rewrite,[status(thm)],[])).
% 17.16/11.97 tff(23845,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s295, s296)) | node18(s295, s296))),
% 17.16/11.97 inference(quant_inst,[status(thm)],[])).
% 17.16/11.97 tff(23846,plain,
% 17.16/11.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s295, s296)) | node18(s295, s296)),
% 17.16/11.97 inference(modus_ponens,[status(thm)],[23845, 23844])).
% 17.16/11.97 tff(23847,plain,
% 17.16/11.97 (node18(s295, s296)),
% 17.16/11.97 inference(unit_resolution,[status(thm)],[23846, 125, 23758])).
% 17.16/11.97 tff(23848,plain,
% 17.16/11.97 (((~![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(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))),
% 17.18/11.97 inference(rewrite,[status(thm)],[])).
% 17.18/11.97 tff(23849,plain,
% 17.18/11.97 ((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node18(s295, s296)) | m_main_v_turn(s296, c_2))),
% 17.18/11.97 inference(quant_inst,[status(thm)],[])).
% 17.18/11.97 tff(23850,plain,
% 17.18/11.97 ((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node18(s295, s296)) | m_main_v_turn(s296, c_2)),
% 17.18/11.97 inference(modus_ponens,[status(thm)],[23849, 23848])).
% 17.18/11.97 tff(23851,plain,
% 17.18/11.97 ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | m_main_v_turn(s296, c_2)),
% 17.18/11.97 inference(unit_resolution,[status(thm)],[23850, 760, 23847])).
% 17.18/11.97 tff(23852,plain,
% 17.18/11.97 (m_main_v_turn(s296, c_2)),
% 17.18/11.97 inference(unit_resolution,[status(thm)],[23851, 23711, 23747])).
% 17.18/11.97 tff(23853,plain,
% 17.18/11.97 (((~![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)))),
% 17.18/11.97 inference(rewrite,[status(thm)],[])).
% 17.18/11.97 tff(23854,plain,
% 17.18/11.97 ((~![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)))),
% 17.18/11.97 inference(quant_inst,[status(thm)],[])).
% 17.18/11.97 tff(23855,plain,
% 17.18/11.97 ((~![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))),
% 17.18/11.97 inference(modus_ponens,[status(thm)],[23854, 23853])).
% 17.18/11.97 tff(23856,plain,
% 17.18/11.97 (~m_main_v_turn(s296, c_1)),
% 17.18/11.97 inference(unit_resolution,[status(thm)],[23855, 156, 23852])).
% 17.18/11.97 tff(23857,plain,
% 17.18/11.97 (((~![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)))),
% 17.18/11.97 inference(rewrite,[status(thm)],[])).
% 17.18/11.97 tff(23858,plain,
% 17.18/11.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s296, c_1) | (~node5(s296)))),
% 17.18/11.97 inference(quant_inst,[status(thm)],[])).
% 17.18/11.97 tff(23859,plain,
% 17.18/11.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s296, c_1) | (~node5(s296))),
% 17.18/11.97 inference(modus_ponens,[status(thm)],[23858, 23857])).
% 17.18/11.97 tff(23860,plain,
% 17.18/11.97 (~node5(s296)),
% 17.18/11.97 inference(unit_resolution,[status(thm)],[23859, 776, 23856])).
% 17.18/11.97 tff(23861,plain,
% 17.18/11.97 (((~![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)))),
% 17.18/11.97 inference(rewrite,[status(thm)],[])).
% 17.18/11.97 tff(23862,plain,
% 17.18/11.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s296, c_n1) | (~node2(s296)))),
% 17.18/11.97 inference(quant_inst,[status(thm)],[])).
% 17.18/11.97 tff(23863,plain,
% 17.18/11.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s296, c_n1) | (~node2(s296))),
% 17.18/11.97 inference(modus_ponens,[status(thm)],[23862, 23861])).
% 17.18/11.97 tff(23864,plain,
% 17.18/11.97 (~node2(s296)),
% 17.18/11.97 inference(unit_resolution,[status(thm)],[23863, 787, 23788])).
% 17.18/11.97 tff(23865,plain,
% 17.18/11.97 (((~![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)))),
% 17.18/11.97 inference(rewrite,[status(thm)],[])).
% 17.18/11.97 tff(23866,plain,
% 17.18/11.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s296, c_n1) | (~node3(s296)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23867,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s296, c_n1) | (~node3(s296))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23866, 23865])).
% 17.18/11.98 tff(23868,plain,
% 17.18/11.98 (~node3(s296)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23867, 798, 23788])).
% 17.18/11.98 tff(23869,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23870,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s296, c_n2) | (~node4(s296)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23871,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s296, c_n2) | (~node4(s296))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23870, 23869])).
% 17.18/11.98 tff(23872,plain,
% 17.18/11.98 (~node4(s296)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23871, 388, 23808])).
% 17.18/11.98 tff(23873,plain,
% 17.18/11.98 (((~![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))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23874,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s296, s297)) | node7(s296, s297))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23875,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s296, s297)) | node7(s296, s297)),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23874, 23873])).
% 17.18/11.98 tff(23876,plain,
% 17.18/11.98 (node7(s296, s297)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23875, 206, 23819])).
% 17.18/11.98 tff(23877,plain,
% 17.18/11.98 (((~![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(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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23878,plain,
% 17.18/11.98 ((~![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(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297) | (~node7(s296, s297)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23879,plain,
% 17.18/11.98 ((~![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(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297) | (~node7(s296, s297))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23878, 23877])).
% 17.18/11.98 tff(23880,plain,
% 17.18/11.98 (m_main_v_state1(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23879, 820, 23876])).
% 17.18/11.98 tff(23881,plain,
% 17.18/11.98 (node6(s296, s297)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23880, 23872, 23796, 23868, 23864, 23860, 23843])).
% 17.18/11.98 tff(23882,plain,
% 17.18/11.98 (((~![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(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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23883,plain,
% 17.18/11.98 (((~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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23884,plain,
% 17.18/11.98 (((~![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))))),
% 17.18/11.98 inference(monotonicity,[status(thm)],[23883])).
% 17.18/11.98 tff(23885,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(transitivity,[status(thm)],[23884, 23882])).
% 17.18/11.98 tff(23886,plain,
% 17.18/11.98 ((~![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)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23887,plain,
% 17.18/11.98 ((~![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(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23886, 23885])).
% 17.18/11.98 tff(23888,plain,
% 17.18/11.98 (~m_main_v_state1(s297, c_n1)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23887, 835, 23788, 23881])).
% 17.18/11.98 tff(23889,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23890,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s297, c_n1) | (~node2(s297)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23891,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s297, c_n1) | (~node2(s297))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23890, 23889])).
% 17.18/11.98 tff(23892,plain,
% 17.18/11.98 (~node2(s297)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23891, 787, 23888])).
% 17.18/11.98 tff(23893,plain,
% 17.18/11.98 (((~![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(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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23894,plain,
% 17.18/11.98 (((~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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23895,plain,
% 17.18/11.98 (((~![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))))),
% 17.18/11.98 inference(monotonicity,[status(thm)],[23894])).
% 17.18/11.98 tff(23896,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(transitivity,[status(thm)],[23895, 23893])).
% 17.18/11.98 tff(23897,plain,
% 17.18/11.98 ((~![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))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23898,plain,
% 17.18/11.98 ((~![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(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23897, 23896])).
% 17.18/11.98 tff(23899,plain,
% 17.18/11.98 (m_main_v_state1(s297, c_t1)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23898, 856, 23784, 23881])).
% 17.18/11.98 tff(23900,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23901,plain,
% 17.18/11.98 ((~![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)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23902,plain,
% 17.18/11.98 ((~![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))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23901, 23900])).
% 17.18/11.98 tff(23903,plain,
% 17.18/11.98 (~m_main_v_state2(s297, c_t2)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23902, 77, 23831])).
% 17.18/11.98 tff(23904,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23905,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s297, c_t2) | (~node1(s297)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23906,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s297, c_t2) | (~node1(s297))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23905, 23904])).
% 17.18/11.98 tff(23907,plain,
% 17.18/11.98 (~node1(s297)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23906, 195, 23903])).
% 17.18/11.98 tff(23908,plain,
% 17.18/11.98 (succ(s297, s298) <=> succ(s297, s298)),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23909,axiom,(succ(s297, s298)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound298')).
% 17.18/11.98 tff(23910,plain,
% 17.18/11.98 (succ(s297, s298)),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23909, 23908])).
% 17.18/11.98 tff(23911,plain,
% 17.18/11.98 (((~![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))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23912,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23913,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298)),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23912, 23911])).
% 17.18/11.98 tff(23914,plain,
% 17.18/11.98 (trans(s297, s298)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23913, 23910, 32])).
% 17.18/11.98 tff(23915,plain,
% 17.18/11.98 (((~![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))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23916,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s297, s298)) | node7(s297, s298))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23917,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s297, s298)) | node7(s297, s298)),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23916, 23915])).
% 17.18/11.98 tff(23918,plain,
% 17.18/11.98 (node7(s297, s298)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23917, 206, 23914])).
% 17.18/11.98 tff(23919,plain,
% 17.18/11.98 (((~![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(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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23920,plain,
% 17.18/11.98 (((~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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23921,plain,
% 17.18/11.98 (((~![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(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))))),
% 17.18/11.98 inference(monotonicity,[status(thm)],[23920])).
% 17.18/11.98 tff(23922,plain,
% 17.18/11.98 (((~![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(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)))),
% 17.18/11.98 inference(transitivity,[status(thm)],[23921, 23919])).
% 17.18/11.98 tff(23923,plain,
% 17.18/11.98 ((~![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(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))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23924,plain,
% 17.18/11.98 ((~![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(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))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23923, 23922])).
% 17.18/11.98 tff(23925,plain,
% 17.18/11.98 ((~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)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23924, 892, 23918])).
% 17.18/11.98 tff(23926,plain,
% 17.18/11.98 (m_main_v_state1(s298, c_c1)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23925, 23907, 23831, 23899, 23892, 23839])).
% 17.18/11.98 tff(23927,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23928,plain,
% 17.18/11.98 ((~![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)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23929,plain,
% 17.18/11.98 ((~![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))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23928, 23927])).
% 17.18/11.98 tff(23930,plain,
% 17.18/11.98 (~m_main_v_state1(s298, c_t1)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23929, 539, 23926])).
% 17.18/11.98 tff(23931,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23932,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s298, c_t1) | (~node5(s298)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23933,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s298, c_t1) | (~node5(s298))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23932, 23931])).
% 17.18/11.98 tff(23934,plain,
% 17.18/11.98 (~node5(s298)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23933, 550, 23930])).
% 17.18/11.98 tff(23935,plain,
% 17.18/11.98 (((~![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))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23936,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s297, s298)) | node14(s297, s298))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23937,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s297, s298)) | node14(s297, s298)),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23936, 23935])).
% 17.18/11.98 tff(23938,plain,
% 17.18/11.98 (node14(s297, s298)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23937, 46, 23914])).
% 17.18/11.98 tff(23939,plain,
% 17.18/11.98 (((~![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(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))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23940,plain,
% 17.18/11.98 ((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | (~node14(s297, s298)) | m_main_v_state2(s298, c_t2))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23941,plain,
% 17.18/11.98 ((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | (~node14(s297, s298)) | m_main_v_state2(s298, c_t2)),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23940, 23939])).
% 17.18/11.98 tff(23942,plain,
% 17.18/11.98 ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state2(s298, c_t2)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23941, 922, 23938])).
% 17.18/11.98 tff(23943,plain,
% 17.18/11.98 (m_main_v_state2(s298, c_t2)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23942, 23899, 23831])).
% 17.18/11.98 tff(23944,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23945,plain,
% 17.18/11.98 ((~![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)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23946,plain,
% 17.18/11.98 ((~![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))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23945, 23944])).
% 17.18/11.98 tff(23947,plain,
% 17.18/11.98 (~m_main_v_state2(s298, c_n2)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23946, 77, 23943])).
% 17.18/11.98 tff(23948,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23949,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s298, c_n2) | (~node4(s298)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23950,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s298, c_n2) | (~node4(s298))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23949, 23948])).
% 17.18/11.98 tff(23951,plain,
% 17.18/11.98 (~node4(s298)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23950, 388, 23947])).
% 17.18/11.98 tff(23952,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23953,plain,
% 17.18/11.98 ((~![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)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23954,plain,
% 17.18/11.98 ((~![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))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23953, 23952])).
% 17.18/11.98 tff(23955,plain,
% 17.18/11.98 (~m_main_v_state2(s298, c_c2)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23954, 260, 23943])).
% 17.18/11.98 tff(23956,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23957,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s298, c_c2) | (~node3(s298)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23958,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s298, c_c2) | (~node3(s298))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23957, 23956])).
% 17.18/11.98 tff(23959,plain,
% 17.18/11.98 (~node3(s298)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23958, 399, 23955])).
% 17.18/11.98 tff(23960,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23961,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s298, c_n2) | (~node2(s298)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23962,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s298, c_n2) | (~node2(s298))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23961, 23960])).
% 17.18/11.98 tff(23963,plain,
% 17.18/11.98 (~node2(s298)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23962, 410, 23947])).
% 17.18/11.98 tff(23964,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23965,plain,
% 17.18/11.98 ((~![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)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23966,plain,
% 17.18/11.98 ((~![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))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23965, 23964])).
% 17.18/11.98 tff(23967,plain,
% 17.18/11.98 (~m_main_v_state1(s298, c_n1)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23966, 454, 23926])).
% 17.18/11.98 tff(23968,plain,
% 17.18/11.98 (((~![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)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23969,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s298, c_n1) | (~node1(s298)))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23970,plain,
% 17.18/11.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s298, c_n1) | (~node1(s298))),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23969, 23968])).
% 17.18/11.98 tff(23971,plain,
% 17.18/11.98 (~node1(s298)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23970, 421, 23967])).
% 17.18/11.98 tff(23972,plain,
% 17.18/11.98 (succ(s298, s299) <=> succ(s298, s299)),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23973,axiom,(succ(s298, s299)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound299')).
% 17.18/11.98 tff(23974,plain,
% 17.18/11.98 (succ(s298, s299)),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23973, 23972])).
% 17.18/11.98 tff(23975,plain,
% 17.18/11.98 (((~![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))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23976,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23977,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299)),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23976, 23975])).
% 17.18/11.98 tff(23978,plain,
% 17.18/11.98 (trans(s298, s299)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23977, 23974, 32])).
% 17.18/11.98 tff(23979,plain,
% 17.18/11.98 (((~![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))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23980,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s298, s299)) | node7(s298, s299))),
% 17.18/11.98 inference(quant_inst,[status(thm)],[])).
% 17.18/11.98 tff(23981,plain,
% 17.18/11.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s298, s299)) | node7(s298, s299)),
% 17.18/11.98 inference(modus_ponens,[status(thm)],[23980, 23979])).
% 17.18/11.98 tff(23982,plain,
% 17.18/11.98 (node7(s298, s299)),
% 17.18/11.98 inference(unit_resolution,[status(thm)],[23981, 206, 23978])).
% 17.18/11.98 tff(23983,plain,
% 17.18/11.98 (((~![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(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23984,plain,
% 17.18/11.98 (((~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)) <=> (m_main_v_state1(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)))),
% 17.18/11.98 inference(rewrite,[status(thm)],[])).
% 17.18/11.98 tff(23985,plain,
% 17.18/11.98 (((~![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(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(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299))))),
% 17.18/11.99 inference(monotonicity,[status(thm)],[23984])).
% 17.18/11.99 tff(23986,plain,
% 17.18/11.99 (((~![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(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(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)))),
% 17.18/11.99 inference(transitivity,[status(thm)],[23985, 23983])).
% 17.18/11.99 tff(23987,plain,
% 17.18/11.99 ((~![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(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)) | m_main_v_state1(s299, c_n1))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(23988,plain,
% 17.18/11.99 ((~![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(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[23987, 23986])).
% 17.18/11.99 tff(23989,plain,
% 17.18/11.99 (m_main_v_state1(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[23988, 584, 23982])).
% 17.18/11.99 tff(23990,plain,
% 17.18/11.99 (m_main_v_state1(s299, c_n1)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[23989, 23971, 23926, 23963, 23959, 23951, 23934])).
% 17.18/11.99 tff(23991,plain,
% 17.18/11.99 (((~![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)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(23992,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s297, c_t2) | (~node15(s297)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(23993,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s297, c_t2) | (~node15(s297))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[23992, 23991])).
% 17.18/11.99 tff(23994,plain,
% 17.18/11.99 (~node15(s297)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[23993, 103, 23903])).
% 17.18/11.99 tff(23995,plain,
% 17.18/11.99 (((~![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))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(23996,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s297, s298)) | node18(s297, s298))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(23997,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s297, s298)) | node18(s297, s298)),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[23996, 23995])).
% 17.18/11.99 tff(23998,plain,
% 17.18/11.99 (node18(s297, s298)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[23997, 125, 23914])).
% 17.18/11.99 tff(23999,plain,
% 17.18/11.99 (((~![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(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))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24000,plain,
% 17.18/11.99 (((~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))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24001,plain,
% 17.18/11.99 (((~![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(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)))),
% 17.18/11.99 inference(monotonicity,[status(thm)],[24000])).
% 17.18/11.99 tff(24002,plain,
% 17.18/11.99 (((~![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(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))),
% 17.18/11.99 inference(transitivity,[status(thm)],[24001, 23999])).
% 17.18/11.99 tff(24003,plain,
% 17.18/11.99 ((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node15(s297) | (~node18(s297, s298)) | m_main_v_turn(s298, c_1))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24004,plain,
% 17.18/11.99 ((~![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(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)),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24003, 24002])).
% 17.18/11.99 tff(24005,plain,
% 17.18/11.99 (node15(s297) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24004, 992, 23998])).
% 17.18/11.99 tff(24006,plain,
% 17.18/11.99 (m_main_v_turn(s298, c_1)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24005, 23994, 23831, 23899])).
% 17.18/11.99 tff(24007,plain,
% 17.18/11.99 (((~![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)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24008,plain,
% 17.18/11.99 ((~![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)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24009,plain,
% 17.18/11.99 ((~![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))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24008, 24007])).
% 17.18/11.99 tff(24010,plain,
% 17.18/11.99 (~m_main_v_turn(s298, c_2)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24009, 156, 24006])).
% 17.18/11.99 tff(24011,plain,
% 17.18/11.99 (((~![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)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24012,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s298, c_2) | (~node12(s298)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24013,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s298, c_2) | (~node12(s298))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24012, 24011])).
% 17.18/11.99 tff(24014,plain,
% 17.18/11.99 (~node12(s298)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24013, 184, 24010])).
% 17.18/11.99 tff(24015,plain,
% 17.18/11.99 (((~![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)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24016,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s298, c_n2) | (~node8(s298)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24017,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s298, c_n2) | (~node8(s298))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24016, 24015])).
% 17.18/11.99 tff(24018,plain,
% 17.18/11.99 (~node8(s298)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24017, 271, 23947])).
% 17.18/11.99 tff(24019,plain,
% 17.18/11.99 (((~![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)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24020,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s298, c_n2) | (~node9(s298)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24021,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s298, c_n2) | (~node9(s298))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24020, 24019])).
% 17.18/11.99 tff(24022,plain,
% 17.18/11.99 (~node9(s298)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24021, 88, 23947])).
% 17.18/11.99 tff(24023,plain,
% 17.18/11.99 (((~![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)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24024,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s298, c_n2) | (~node10(s298)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24025,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s298, c_n2) | (~node10(s298))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24024, 24023])).
% 17.18/11.99 tff(24026,plain,
% 17.18/11.99 (~node10(s298)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24025, 249, 23947])).
% 17.18/11.99 tff(24027,plain,
% 17.18/11.99 (((~![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)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24028,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s298, c_n1) | (~node11(s298)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24029,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s298, c_n1) | (~node11(s298))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24028, 24027])).
% 17.18/11.99 tff(24030,plain,
% 17.18/11.99 (~node11(s298)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24029, 238, 23967])).
% 17.18/11.99 tff(24031,plain,
% 17.18/11.99 (((~![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))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24032,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s298, s299)) | node14(s298, s299))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24033,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s298, s299)) | node14(s298, s299)),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24032, 24031])).
% 17.18/11.99 tff(24034,plain,
% 17.18/11.99 (node14(s298, s299)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24033, 46, 23978])).
% 17.18/11.99 tff(24035,plain,
% 17.18/11.99 (((~![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(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)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24036,plain,
% 17.18/11.99 ((~![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(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299) | (~node14(s298, s299)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24037,plain,
% 17.18/11.99 ((~![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(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299) | (~node14(s298, s299))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24036, 24035])).
% 17.18/11.99 tff(24038,plain,
% 17.18/11.99 (m_main_v_state2(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24037, 296, 24034])).
% 17.18/11.99 tff(24039,plain,
% 17.18/11.99 (node13(s298, s299)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24038, 24030, 23955, 24026, 24022, 24018, 24014])).
% 17.18/11.99 tff(24040,plain,
% 17.18/11.99 (((~![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(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)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24041,plain,
% 17.18/11.99 (((~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)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24042,plain,
% 17.18/11.99 (((~![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))))),
% 17.18/11.99 inference(monotonicity,[status(thm)],[24041])).
% 17.18/11.99 tff(24043,plain,
% 17.18/11.99 (((~![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)))),
% 17.18/11.99 inference(transitivity,[status(thm)],[24042, 24040])).
% 17.18/11.99 tff(24044,plain,
% 17.18/11.99 ((~![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))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24045,plain,
% 17.18/11.99 ((~![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(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24044, 24043])).
% 17.18/11.99 tff(24046,plain,
% 17.18/11.99 (m_main_v_state2(s299, c_t2)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24045, 518, 23943, 24039])).
% 17.18/11.99 tff(24047,plain,
% 17.18/11.99 (succ(s299, s300) <=> succ(s299, s300)),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24048,axiom,(succ(s299, s300)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound300')).
% 17.18/11.99 tff(24049,plain,
% 17.18/11.99 (succ(s299, s300)),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24048, 24047])).
% 17.18/11.99 tff(24050,plain,
% 17.18/11.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s299, s300)) | trans(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s299, s300)) | trans(s299, s300))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24051,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s299, s300)) | trans(s299, s300))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24052,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s299, s300)) | trans(s299, s300)),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24051, 24050])).
% 17.18/11.99 tff(24053,plain,
% 17.18/11.99 (trans(s299, s300)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24052, 24049, 32])).
% 17.18/11.99 tff(24054,plain,
% 17.18/11.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s299, s300)) | node7(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s299, s300)) | node7(s299, s300))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24055,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s299, s300)) | node7(s299, s300))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24056,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s299, s300)) | node7(s299, s300)),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24055, 24054])).
% 17.18/11.99 tff(24057,plain,
% 17.18/11.99 (node7(s299, s300)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24056, 206, 24053])).
% 17.18/11.99 tff(24058,plain,
% 17.18/11.99 (((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node7(s299, s300)) | m_main_v_state1(s300, 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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node7(s299, s300)) | m_main_v_state1(s300, c_t1))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24059,plain,
% 17.18/11.99 ((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node7(s299, s300)) | m_main_v_state1(s300, c_t1))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24060,plain,
% 17.18/11.99 ((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node7(s299, s300)) | m_main_v_state1(s300, c_t1)),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24059, 24058])).
% 17.18/11.99 tff(24061,plain,
% 17.18/11.99 ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | m_main_v_state1(s300, c_t1)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24060, 651, 24057])).
% 17.18/11.99 tff(24062,plain,
% 17.18/11.99 (m_main_v_state1(s300, c_t1)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24061, 24046, 23990])).
% 17.18/11.99 tff(24063,plain,
% 17.18/11.99 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s300, c_n1)) | (~m_main_v_state1(s300, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s300, c_n1)) | (~m_main_v_state1(s300, c_t1)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24064,plain,
% 17.18/11.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s300, c_n1)) | (~m_main_v_state1(s300, c_t1)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24065,plain,
% 17.18/11.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s300, c_n1)) | (~m_main_v_state1(s300, c_t1))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24064, 24063])).
% 17.18/11.99 tff(24066,plain,
% 17.18/11.99 (~m_main_v_state1(s300, c_n1)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24065, 10, 24062])).
% 17.18/11.99 tff(24067,plain,
% 17.18/11.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s300, c_n1) | (~node1(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s300, c_n1) | (~node1(s300)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24068,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s300, c_n1) | (~node1(s300)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24069,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s300, c_n1) | (~node1(s300))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24068, 24067])).
% 17.18/11.99 tff(24070,plain,
% 17.18/11.99 (~node1(s300)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24069, 421, 24066])).
% 17.18/11.99 tff(24071,plain,
% 17.18/11.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s299, s300)) | node18(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s299, s300)) | node18(s299, s300))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24072,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s299, s300)) | node18(s299, s300))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24073,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s299, s300)) | node18(s299, s300)),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24072, 24071])).
% 17.18/11.99 tff(24074,plain,
% 17.18/11.99 (node18(s299, s300)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24073, 125, 24053])).
% 17.18/11.99 tff(24075,plain,
% 17.18/11.99 (((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s300)) | m_main_v_turn(s300, 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, s300)) | m_main_v_turn(s300, c_2))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24076,plain,
% 17.18/11.99 ((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s300)) | m_main_v_turn(s300, c_2))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24077,plain,
% 17.18/11.99 ((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s300)) | m_main_v_turn(s300, c_2)),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24076, 24075])).
% 17.18/11.99 tff(24078,plain,
% 17.18/11.99 ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | m_main_v_turn(s300, c_2)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24077, 760, 24074])).
% 17.18/11.99 tff(24079,plain,
% 17.18/11.99 (m_main_v_turn(s300, c_2)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24078, 24046, 23990])).
% 17.18/11.99 tff(24080,plain,
% 17.18/11.99 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s300, c_1)) | (~m_main_v_turn(s300, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s300, c_1)) | (~m_main_v_turn(s300, c_2)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24081,plain,
% 17.18/11.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s300, c_1)) | (~m_main_v_turn(s300, c_2)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24082,plain,
% 17.18/11.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s300, c_1)) | (~m_main_v_turn(s300, c_2))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24081, 24080])).
% 17.18/11.99 tff(24083,plain,
% 17.18/11.99 (~m_main_v_turn(s300, c_1)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24082, 156, 24079])).
% 17.18/11.99 tff(24084,plain,
% 17.18/11.99 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s300, c_1) | (~node5(s300)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s300, c_1) | (~node5(s300)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24085,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s300, c_1) | (~node5(s300)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24086,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s300, c_1) | (~node5(s300))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24085, 24084])).
% 17.18/11.99 tff(24087,plain,
% 17.18/11.99 (~node5(s300)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24086, 776, 24083])).
% 17.18/11.99 tff(24088,plain,
% 17.18/11.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s300, c_n1) | (~node2(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s300, c_n1) | (~node2(s300)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24089,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s300, c_n1) | (~node2(s300)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24090,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s300, c_n1) | (~node2(s300))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24089, 24088])).
% 17.18/11.99 tff(24091,plain,
% 17.18/11.99 (~node2(s300)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24090, 787, 24066])).
% 17.18/11.99 tff(24092,plain,
% 17.18/11.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s300, c_n1) | (~node3(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s300, c_n1) | (~node3(s300)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24093,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s300, c_n1) | (~node3(s300)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24094,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s300, c_n1) | (~node3(s300))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24093, 24092])).
% 17.18/11.99 tff(24095,plain,
% 17.18/11.99 (~node3(s300)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24094, 798, 24066])).
% 17.18/11.99 tff(24096,plain,
% 17.18/11.99 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s300, c_t1)) | (~m_main_v_state1(s300, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s300, c_t1)) | (~m_main_v_state1(s300, c_c1)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24097,plain,
% 17.18/11.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s300, c_t1)) | (~m_main_v_state1(s300, c_c1)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24098,plain,
% 17.18/11.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s300, c_t1)) | (~m_main_v_state1(s300, c_c1))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24097, 24096])).
% 17.18/11.99 tff(24099,plain,
% 17.18/11.99 (~m_main_v_state1(s300, c_c1)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24098, 539, 24062])).
% 17.18/11.99 tff(24100,plain,
% 17.18/11.99 (((~![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(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~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_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24101,plain,
% 17.18/11.99 (((~node13(s298, s299)) | m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2))) <=> (m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24102,plain,
% 17.18/11.99 (((~![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_n2) | (~m_main_v_state2(s299, 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(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299))))),
% 17.18/11.99 inference(monotonicity,[status(thm)],[24101])).
% 17.18/11.99 tff(24103,plain,
% 17.18/11.99 (((~![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_n2) | (~m_main_v_state2(s299, 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(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299)))),
% 17.18/11.99 inference(transitivity,[status(thm)],[24102, 24100])).
% 17.18/11.99 tff(24104,plain,
% 17.18/11.99 ((~![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_n2) | (~m_main_v_state2(s299, c_n2)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24105,plain,
% 17.18/11.99 ((~![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(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24104, 24103])).
% 17.18/11.99 tff(24106,plain,
% 17.18/11.99 (~m_main_v_state2(s299, c_n2)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24105, 311, 23947, 24039])).
% 17.18/11.99 tff(24107,plain,
% 17.18/11.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s299, c_n2) | (~node9(s299)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s299, c_n2) | (~node9(s299)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24108,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s299, c_n2) | (~node9(s299)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24109,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s299, c_n2) | (~node9(s299))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24108, 24107])).
% 17.18/11.99 tff(24110,plain,
% 17.18/11.99 (~node9(s299)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24109, 88, 24106])).
% 17.18/11.99 tff(24111,plain,
% 17.18/11.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s299, c_n2) | (~node10(s299)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s299, c_n2) | (~node10(s299)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24112,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s299, c_n2) | (~node10(s299)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24113,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s299, c_n2) | (~node10(s299))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24112, 24111])).
% 17.18/11.99 tff(24114,plain,
% 17.18/11.99 (~node10(s299)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24113, 249, 24106])).
% 17.18/11.99 tff(24115,plain,
% 17.18/11.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s299, c_n2) | (~node8(s299)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s299, c_n2) | (~node8(s299)))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24116,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s299, c_n2) | (~node8(s299)))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24117,plain,
% 17.18/11.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s299, c_n2) | (~node8(s299))),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24116, 24115])).
% 17.18/11.99 tff(24118,plain,
% 17.18/11.99 (~node8(s299)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24117, 271, 24106])).
% 17.18/11.99 tff(24119,plain,
% 17.18/11.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s299, s300)) | node14(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s299, s300)) | node14(s299, s300))),
% 17.18/11.99 inference(rewrite,[status(thm)],[])).
% 17.18/11.99 tff(24120,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s299, s300)) | node14(s299, s300))),
% 17.18/11.99 inference(quant_inst,[status(thm)],[])).
% 17.18/11.99 tff(24121,plain,
% 17.18/11.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s299, s300)) | node14(s299, s300)),
% 17.18/11.99 inference(modus_ponens,[status(thm)],[24120, 24119])).
% 17.18/11.99 tff(24122,plain,
% 17.18/11.99 (node14(s299, s300)),
% 17.18/11.99 inference(unit_resolution,[status(thm)],[24121, 46, 24053])).
% 17.18/11.99 tff(24123,plain,
% 17.18/11.99 (((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | node9(s299) | node8(s299) | node10(s299) | (~node14(s299, s300)) | m_main_v_state2(s300, 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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | node9(s299) | node8(s299) | node10(s299) | (~node14(s299, s300)) | m_main_v_state2(s300, c_c2))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24124,plain,
% 17.18/12.00 ((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | node9(s299) | node8(s299) | node10(s299) | (~node14(s299, s300)) | m_main_v_state2(s300, c_c2))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24125,plain,
% 17.18/12.00 ((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | node9(s299) | node8(s299) | node10(s299) | (~node14(s299, s300)) | m_main_v_state2(s300, c_c2)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24124, 24123])).
% 17.18/12.00 tff(24126,plain,
% 17.18/12.00 ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | node9(s299) | node8(s299) | node10(s299) | m_main_v_state2(s300, c_c2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24125, 617, 24122])).
% 17.18/12.00 tff(24127,plain,
% 17.18/12.00 (m_main_v_state2(s300, c_c2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24126, 24118, 23990, 24046, 24114, 24110])).
% 17.18/12.00 tff(24128,plain,
% 17.18/12.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s300, c_n2)) | (~m_main_v_state2(s300, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s300, c_n2)) | (~m_main_v_state2(s300, c_c2)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24129,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s300, c_n2)) | (~m_main_v_state2(s300, c_c2)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24130,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s300, c_n2)) | (~m_main_v_state2(s300, c_c2))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24129, 24128])).
% 17.18/12.00 tff(24131,plain,
% 17.18/12.00 (~m_main_v_state2(s300, c_n2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24130, 697, 24127])).
% 17.18/12.00 tff(24132,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s300, c_n2) | (~node4(s300)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s300, c_n2) | (~node4(s300)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24133,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s300, c_n2) | (~node4(s300)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24134,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s300, c_n2) | (~node4(s300))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24133, 24132])).
% 17.18/12.00 tff(24135,plain,
% 17.18/12.00 (~node4(s300)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24134, 388, 24131])).
% 17.18/12.00 tff(24136,plain,
% 17.18/12.00 (succ(s300, s301) <=> succ(s300, s301)),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24137,axiom,(succ(s300, s301)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound301')).
% 17.18/12.00 tff(24138,plain,
% 17.18/12.00 (succ(s300, s301)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24137, 24136])).
% 17.18/12.00 tff(24139,plain,
% 17.18/12.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s300, s301)) | trans(s300, s301))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s300, s301)) | trans(s300, s301))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24140,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s300, s301)) | trans(s300, s301))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24141,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s300, s301)) | trans(s300, s301)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24140, 24139])).
% 17.18/12.00 tff(24142,plain,
% 17.18/12.00 (trans(s300, s301)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24141, 24138, 32])).
% 17.18/12.00 tff(24143,plain,
% 17.18/12.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s300, s301)) | node7(s300, s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s300, s301)) | node7(s300, s301))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24144,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s300, s301)) | node7(s300, s301))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24145,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s300, s301)) | node7(s300, s301)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24144, 24143])).
% 17.18/12.00 tff(24146,plain,
% 17.18/12.00 (node7(s300, s301)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24145, 206, 24142])).
% 17.18/12.00 tff(24147,plain,
% 17.18/12.00 (((~![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(s300, c_c1) | node1(s300) | node2(s300) | node3(s300) | node4(s300) | node5(s300) | node6(s300, s301) | (~node7(s300, s301)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s300, c_c1) | node1(s300) | node2(s300) | node3(s300) | node4(s300) | node5(s300) | node6(s300, s301) | (~node7(s300, s301)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24148,plain,
% 17.18/12.00 ((~![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(s300, c_c1) | node1(s300) | node2(s300) | node3(s300) | node4(s300) | node5(s300) | node6(s300, s301) | (~node7(s300, s301)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24149,plain,
% 17.18/12.00 ((~![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(s300, c_c1) | node1(s300) | node2(s300) | node3(s300) | node4(s300) | node5(s300) | node6(s300, s301) | (~node7(s300, s301))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24148, 24147])).
% 17.18/12.00 tff(24150,plain,
% 17.18/12.00 (m_main_v_state1(s300, c_c1) | node1(s300) | node2(s300) | node3(s300) | node4(s300) | node5(s300) | node6(s300, s301)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24149, 820, 24146])).
% 17.18/12.00 tff(24151,plain,
% 17.18/12.00 (node6(s300, s301)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24150, 24135, 24099, 24095, 24091, 24087, 24070])).
% 17.18/12.00 tff(24152,plain,
% 17.18/12.00 (((~![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(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24153,plain,
% 17.18/12.00 (((~node6(s300, s301)) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1)) <=> ((~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24154,plain,
% 17.18/12.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s300, s301)) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, 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(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301))))),
% 17.18/12.00 inference(monotonicity,[status(thm)],[24153])).
% 17.18/12.00 tff(24155,plain,
% 17.18/12.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s300, s301)) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, 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(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301)))),
% 17.18/12.00 inference(transitivity,[status(thm)],[24154, 24152])).
% 17.18/12.00 tff(24156,plain,
% 17.18/12.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s300, s301)) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24157,plain,
% 17.18/12.00 ((~![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(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24156, 24155])).
% 17.18/12.00 tff(24158,plain,
% 17.18/12.00 (m_main_v_state1(s301, c_t1)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24157, 856, 24062, 24151])).
% 17.18/12.00 tff(24159,plain,
% 17.18/12.00 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s300, c_t2)) | (~m_main_v_state2(s300, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s300, c_t2)) | (~m_main_v_state2(s300, c_c2)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24160,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s300, c_t2)) | (~m_main_v_state2(s300, c_c2)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24161,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s300, c_t2)) | (~m_main_v_state2(s300, c_c2))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24160, 24159])).
% 17.18/12.00 tff(24162,plain,
% 17.18/12.00 (~m_main_v_state2(s300, c_t2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24161, 260, 24127])).
% 17.18/12.00 tff(24163,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s300, c_t2) | (~node12(s300)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s300, c_t2) | (~node12(s300)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24164,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s300, c_t2) | (~node12(s300)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24165,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s300, c_t2) | (~node12(s300))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24164, 24163])).
% 17.18/12.00 tff(24166,plain,
% 17.18/12.00 (~node12(s300)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24165, 633, 24162])).
% 17.18/12.00 tff(24167,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s300, c_n1) | (~node11(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s300, c_n1) | (~node11(s300)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24168,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s300, c_n1) | (~node11(s300)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24169,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s300, c_n1) | (~node11(s300))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24168, 24167])).
% 17.18/12.00 tff(24170,plain,
% 17.18/12.00 (~node11(s300)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24169, 238, 24066])).
% 17.18/12.00 tff(24171,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s300, c_c1) | (~node10(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s300, c_c1) | (~node10(s300)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24172,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s300, c_c1) | (~node10(s300)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24173,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s300, c_c1) | (~node10(s300))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24172, 24171])).
% 17.18/12.00 tff(24174,plain,
% 17.18/12.00 (~node10(s300)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24173, 675, 24099])).
% 17.18/12.00 tff(24175,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s300, c_n1) | (~node9(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s300, c_n1) | (~node9(s300)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24176,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s300, c_n1) | (~node9(s300)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24177,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s300, c_n1) | (~node9(s300))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24176, 24175])).
% 17.18/12.00 tff(24178,plain,
% 17.18/12.00 (~node9(s300)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24177, 686, 24066])).
% 17.18/12.00 tff(24179,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s300, c_n2) | (~node8(s300)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s300, c_n2) | (~node8(s300)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24180,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s300, c_n2) | (~node8(s300)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24181,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s300, c_n2) | (~node8(s300))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24180, 24179])).
% 17.18/12.00 tff(24182,plain,
% 17.18/12.00 (~node8(s300)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24181, 271, 24131])).
% 17.18/12.00 tff(24183,plain,
% 17.18/12.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s300, s301)) | node14(s300, s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s300, s301)) | node14(s300, s301))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24184,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s300, s301)) | node14(s300, s301))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24185,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s300, s301)) | node14(s300, s301)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24184, 24183])).
% 17.18/12.00 tff(24186,plain,
% 17.18/12.00 (node14(s300, s301)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24185, 46, 24142])).
% 17.18/12.00 tff(24187,plain,
% 17.18/12.00 (((~![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(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, 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(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24188,plain,
% 17.18/12.00 (((~m_main_v_state2(s300, c_c2)) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | m_main_v_state2(s301, c_n2)) <=> (m_main_v_state2(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24189,plain,
% 17.18/12.00 (((~![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(s300, c_c2)) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | m_main_v_state2(s301, 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(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2))))),
% 17.18/12.00 inference(monotonicity,[status(thm)],[24188])).
% 17.18/12.00 tff(24190,plain,
% 17.18/12.00 (((~![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(s300, c_c2)) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | m_main_v_state2(s301, 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(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2)))),
% 17.18/12.00 inference(transitivity,[status(thm)],[24189, 24187])).
% 17.18/12.00 tff(24191,plain,
% 17.18/12.00 ((~![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(s300, c_c2)) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | m_main_v_state2(s301, c_n2))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24192,plain,
% 17.18/12.00 ((~![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(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24191, 24190])).
% 17.18/12.00 tff(24193,plain,
% 17.18/12.00 (m_main_v_state2(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~m_main_v_state2(s300, c_c2))),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24192, 726, 24186])).
% 17.18/12.00 tff(24194,plain,
% 17.18/12.00 (m_main_v_state2(s301, c_n2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24193, 24182, 24127, 24178, 24174, 24170, 24166])).
% 17.18/12.00 tff(24195,plain,
% 17.18/12.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_t2)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24196,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_t2)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24197,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_t2))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24196, 24195])).
% 17.18/12.00 tff(24198,plain,
% 17.18/12.00 (~m_main_v_state2(s301, c_t2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24197, 77, 24194])).
% 17.18/12.00 tff(24199,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s301, c_t2) | (~node15(s301)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s301, c_t2) | (~node15(s301)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24200,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s301, c_t2) | (~node15(s301)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24201,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s301, c_t2) | (~node15(s301))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24200, 24199])).
% 17.18/12.00 tff(24202,plain,
% 17.18/12.00 (~node15(s301)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24201, 103, 24198])).
% 17.18/12.00 tff(24203,plain,
% 17.18/12.00 (succ(s301, s302) <=> succ(s301, s302)),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24204,axiom,(succ(s301, s302)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound302')).
% 17.18/12.00 tff(24205,plain,
% 17.18/12.00 (succ(s301, s302)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24204, 24203])).
% 17.18/12.00 tff(24206,plain,
% 17.18/12.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s301, s302)) | trans(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s301, s302)) | trans(s301, s302))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24207,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s301, s302)) | trans(s301, s302))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24208,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s301, s302)) | trans(s301, s302)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24207, 24206])).
% 17.18/12.00 tff(24209,plain,
% 17.18/12.00 (trans(s301, s302)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24208, 24205, 32])).
% 17.18/12.00 tff(24210,plain,
% 17.18/12.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s301, s302)) | node18(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s301, s302)) | node18(s301, s302))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24211,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s301, s302)) | node18(s301, s302))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24212,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s301, s302)) | node18(s301, s302)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24211, 24210])).
% 17.18/12.00 tff(24213,plain,
% 17.18/12.00 (node18(s301, s302)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24212, 125, 24209])).
% 17.18/12.00 tff(24214,plain,
% 17.18/12.00 (((~![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(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24215,plain,
% 17.18/12.00 (((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node15(s301) | (~node18(s301, s302)) | m_main_v_turn(s302, c_1)) <=> (node15(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24216,plain,
% 17.18/12.00 (((~![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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node15(s301) | (~node18(s301, s302)) | m_main_v_turn(s302, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1)))),
% 17.18/12.00 inference(monotonicity,[status(thm)],[24215])).
% 17.18/12.00 tff(24217,plain,
% 17.18/12.00 (((~![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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node15(s301) | (~node18(s301, s302)) | m_main_v_turn(s302, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1))),
% 17.18/12.00 inference(transitivity,[status(thm)],[24216, 24214])).
% 17.18/12.00 tff(24218,plain,
% 17.18/12.00 ((~![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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node15(s301) | (~node18(s301, s302)) | m_main_v_turn(s302, c_1))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24219,plain,
% 17.18/12.00 ((~![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(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24218, 24217])).
% 17.18/12.00 tff(24220,plain,
% 17.18/12.00 (node15(s301) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24219, 992, 24213])).
% 17.18/12.00 tff(24221,plain,
% 17.18/12.00 (m_main_v_turn(s302, c_1)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24220, 24202, 24194, 24158])).
% 17.18/12.00 tff(24222,plain,
% 17.18/12.00 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s302, c_1)) | (~m_main_v_turn(s302, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s302, c_1)) | (~m_main_v_turn(s302, c_2)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24223,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s302, c_1)) | (~m_main_v_turn(s302, c_2)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24224,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s302, c_1)) | (~m_main_v_turn(s302, c_2))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24223, 24222])).
% 17.18/12.00 tff(24225,plain,
% 17.18/12.00 (~m_main_v_turn(s302, c_2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24224, 156, 24221])).
% 17.18/12.00 tff(24226,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s302, c_2) | (~node12(s302)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s302, c_2) | (~node12(s302)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24227,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s302, c_2) | (~node12(s302)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24228,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s302, c_2) | (~node12(s302))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24227, 24226])).
% 17.18/12.00 tff(24229,plain,
% 17.18/12.00 (~node12(s302)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24228, 184, 24225])).
% 17.18/12.00 tff(24230,plain,
% 17.18/12.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s301, s302)) | node14(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s301, s302)) | node14(s301, s302))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24231,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s301, s302)) | node14(s301, s302))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24232,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s301, s302)) | node14(s301, s302)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24231, 24230])).
% 17.18/12.00 tff(24233,plain,
% 17.18/12.00 (node14(s301, s302)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24232, 46, 24209])).
% 17.18/12.00 tff(24234,plain,
% 17.18/12.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | (~node14(s301, s302)) | m_main_v_state2(s302, 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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | (~node14(s301, s302)) | m_main_v_state2(s302, c_t2))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24235,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | (~node14(s301, s302)) | m_main_v_state2(s302, c_t2))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24236,plain,
% 17.18/12.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | (~node14(s301, s302)) | m_main_v_state2(s302, c_t2)),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24235, 24234])).
% 17.18/12.00 tff(24237,plain,
% 17.18/12.00 ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state2(s302, c_t2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24236, 922, 24233])).
% 17.18/12.00 tff(24238,plain,
% 17.18/12.00 (m_main_v_state2(s302, c_t2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24237, 24158, 24194])).
% 17.18/12.00 tff(24239,plain,
% 17.18/12.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s302, c_n2)) | (~m_main_v_state2(s302, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s302, c_n2)) | (~m_main_v_state2(s302, c_t2)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24240,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s302, c_n2)) | (~m_main_v_state2(s302, c_t2)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24241,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s302, c_n2)) | (~m_main_v_state2(s302, c_t2))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24240, 24239])).
% 17.18/12.00 tff(24242,plain,
% 17.18/12.00 (~m_main_v_state2(s302, c_n2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24241, 77, 24238])).
% 17.18/12.00 tff(24243,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s302, c_n2) | (~node8(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s302, c_n2) | (~node8(s302)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24244,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s302, c_n2) | (~node8(s302)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24245,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s302, c_n2) | (~node8(s302))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24244, 24243])).
% 17.18/12.00 tff(24246,plain,
% 17.18/12.00 (~node8(s302)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24245, 271, 24242])).
% 17.18/12.00 tff(24247,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s302, c_n2) | (~node9(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s302, c_n2) | (~node9(s302)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24248,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s302, c_n2) | (~node9(s302)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24249,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s302, c_n2) | (~node9(s302))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24248, 24247])).
% 17.18/12.00 tff(24250,plain,
% 17.18/12.00 (~node9(s302)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24249, 88, 24242])).
% 17.18/12.00 tff(24251,plain,
% 17.18/12.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s302, c_n2) | (~node10(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s302, c_n2) | (~node10(s302)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24252,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s302, c_n2) | (~node10(s302)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24253,plain,
% 17.18/12.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s302, c_n2) | (~node10(s302))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24252, 24251])).
% 17.18/12.00 tff(24254,plain,
% 17.18/12.00 (~node10(s302)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24253, 249, 24242])).
% 17.18/12.00 tff(24255,plain,
% 17.18/12.00 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s302, c_t2)) | (~m_main_v_state2(s302, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s302, c_t2)) | (~m_main_v_state2(s302, c_c2)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24256,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s302, c_t2)) | (~m_main_v_state2(s302, c_c2)))),
% 17.18/12.00 inference(quant_inst,[status(thm)],[])).
% 17.18/12.00 tff(24257,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s302, c_t2)) | (~m_main_v_state2(s302, c_c2))),
% 17.18/12.00 inference(modus_ponens,[status(thm)],[24256, 24255])).
% 17.18/12.00 tff(24258,plain,
% 17.18/12.00 (~m_main_v_state2(s302, c_c2)),
% 17.18/12.00 inference(unit_resolution,[status(thm)],[24257, 260, 24238])).
% 17.18/12.00 tff(24259,plain,
% 17.18/12.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_c2)))),
% 17.18/12.00 inference(rewrite,[status(thm)],[])).
% 17.18/12.00 tff(24260,plain,
% 17.18/12.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_c2)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24261,plain,
% 17.18/12.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_c2))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24260, 24259])).
% 17.18/12.01 tff(24262,plain,
% 17.18/12.01 (~m_main_v_state2(s301, c_c2)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24261, 697, 24194])).
% 17.18/12.01 tff(24263,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s301, c_c2) | (~node3(s301)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s301, c_c2) | (~node3(s301)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24264,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s301, c_c2) | (~node3(s301)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24265,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s301, c_c2) | (~node3(s301))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24264, 24263])).
% 17.18/12.01 tff(24266,plain,
% 17.18/12.01 (~node3(s301)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24265, 399, 24262])).
% 17.18/12.01 tff(24267,plain,
% 17.18/12.01 (((~![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(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24268,plain,
% 17.18/12.01 (((~node6(s300, s301)) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1))) <=> (m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24269,plain,
% 17.18/12.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s300, s301)) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, 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(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301))))),
% 17.18/12.01 inference(monotonicity,[status(thm)],[24268])).
% 17.18/12.01 tff(24270,plain,
% 17.18/12.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s300, s301)) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, 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(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301)))),
% 17.18/12.01 inference(transitivity,[status(thm)],[24269, 24267])).
% 17.18/12.01 tff(24271,plain,
% 17.18/12.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s300, s301)) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24272,plain,
% 17.18/12.01 ((~![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(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24271, 24270])).
% 17.18/12.01 tff(24273,plain,
% 17.18/12.01 (~m_main_v_state1(s301, c_n1)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24272, 835, 24066, 24151])).
% 17.18/12.01 tff(24274,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s301, c_n1) | (~node2(s301)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s301, c_n1) | (~node2(s301)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24275,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s301, c_n1) | (~node2(s301)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24276,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s301, c_n1) | (~node2(s301))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24275, 24274])).
% 17.18/12.01 tff(24277,plain,
% 17.18/12.01 (~node2(s301)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24276, 787, 24273])).
% 17.18/12.01 tff(24278,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s301, c_t2) | (~node1(s301)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s301, c_t2) | (~node1(s301)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24279,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s301, c_t2) | (~node1(s301)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24280,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s301, c_t2) | (~node1(s301))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24279, 24278])).
% 17.18/12.01 tff(24281,plain,
% 17.18/12.01 (~node1(s301)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24280, 195, 24198])).
% 17.18/12.01 tff(24282,plain,
% 17.18/12.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s301, s302)) | node7(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s301, s302)) | node7(s301, s302))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24283,plain,
% 17.18/12.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s301, s302)) | node7(s301, s302))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24284,plain,
% 17.18/12.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s301, s302)) | node7(s301, s302)),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24283, 24282])).
% 17.18/12.01 tff(24285,plain,
% 17.18/12.01 (node7(s301, s302)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24284, 206, 24209])).
% 17.18/12.01 tff(24286,plain,
% 17.18/12.01 (((~![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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24287,plain,
% 17.18/12.01 (((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)) | m_main_v_state1(s302, c_c1)) <=> ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24288,plain,
% 17.18/12.01 (((~![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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)) | m_main_v_state1(s302, 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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302))))),
% 17.18/12.01 inference(monotonicity,[status(thm)],[24287])).
% 17.18/12.01 tff(24289,plain,
% 17.18/12.01 (((~![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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)) | m_main_v_state1(s302, 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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)))),
% 17.18/12.01 inference(transitivity,[status(thm)],[24288, 24286])).
% 17.18/12.01 tff(24290,plain,
% 17.18/12.01 ((~![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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)) | m_main_v_state1(s302, c_c1))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24291,plain,
% 17.18/12.01 ((~![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(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24290, 24289])).
% 17.18/12.01 tff(24292,plain,
% 17.18/12.01 ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24291, 892, 24285])).
% 17.18/12.01 tff(24293,plain,
% 17.18/12.01 (m_main_v_state1(s302, c_c1)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24292, 24281, 24194, 24158, 24277, 24266])).
% 17.18/12.01 tff(24294,plain,
% 17.18/12.01 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s302, c_n1)) | (~m_main_v_state1(s302, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s302, c_n1)) | (~m_main_v_state1(s302, c_c1)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24295,plain,
% 17.18/12.01 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s302, c_n1)) | (~m_main_v_state1(s302, c_c1)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24296,plain,
% 17.18/12.01 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s302, c_n1)) | (~m_main_v_state1(s302, c_c1))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24295, 24294])).
% 17.18/12.01 tff(24297,plain,
% 17.18/12.01 (~m_main_v_state1(s302, c_n1)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24296, 454, 24293])).
% 17.18/12.01 tff(24298,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s302, c_n1) | (~node11(s302)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s302, c_n1) | (~node11(s302)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24299,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s302, c_n1) | (~node11(s302)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24300,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s302, c_n1) | (~node11(s302))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24299, 24298])).
% 17.18/12.01 tff(24301,plain,
% 17.18/12.01 (~node11(s302)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24300, 238, 24297])).
% 17.18/12.01 tff(24302,plain,
% 17.18/12.01 (succ(s302, s303) <=> succ(s302, s303)),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24303,axiom,(succ(s302, s303)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound303')).
% 17.18/12.01 tff(24304,plain,
% 17.18/12.01 (succ(s302, s303)),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24303, 24302])).
% 17.18/12.01 tff(24305,plain,
% 17.18/12.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s302, s303)) | trans(s302, s303))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s302, s303)) | trans(s302, s303))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24306,plain,
% 17.18/12.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s302, s303)) | trans(s302, s303))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24307,plain,
% 17.18/12.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s302, s303)) | trans(s302, s303)),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24306, 24305])).
% 17.18/12.01 tff(24308,plain,
% 17.18/12.01 (trans(s302, s303)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24307, 24304, 32])).
% 17.18/12.01 tff(24309,plain,
% 17.18/12.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s302, s303)) | node14(s302, s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s302, s303)) | node14(s302, s303))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24310,plain,
% 17.18/12.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s302, s303)) | node14(s302, s303))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24311,plain,
% 17.18/12.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s302, s303)) | node14(s302, s303)),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24310, 24309])).
% 17.18/12.01 tff(24312,plain,
% 17.18/12.01 (node14(s302, s303)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24311, 46, 24308])).
% 17.18/12.01 tff(24313,plain,
% 17.18/12.01 (((~![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(s302, c_c2) | node9(s302) | node8(s302) | node10(s302) | node11(s302) | node12(s302) | node13(s302, s303) | (~node14(s302, s303)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s302, c_c2) | node9(s302) | node8(s302) | node10(s302) | node11(s302) | node12(s302) | node13(s302, s303) | (~node14(s302, s303)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24314,plain,
% 17.18/12.01 ((~![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(s302, c_c2) | node9(s302) | node8(s302) | node10(s302) | node11(s302) | node12(s302) | node13(s302, s303) | (~node14(s302, s303)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24315,plain,
% 17.18/12.01 ((~![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(s302, c_c2) | node9(s302) | node8(s302) | node10(s302) | node11(s302) | node12(s302) | node13(s302, s303) | (~node14(s302, s303))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24314, 24313])).
% 17.18/12.01 tff(24316,plain,
% 17.18/12.01 (m_main_v_state2(s302, c_c2) | node9(s302) | node8(s302) | node10(s302) | node11(s302) | node12(s302) | node13(s302, s303)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24315, 296, 24312])).
% 17.18/12.01 tff(24317,plain,
% 17.18/12.01 (node13(s302, s303)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24316, 24301, 24258, 24254, 24250, 24246, 24229])).
% 17.18/12.01 tff(24318,plain,
% 17.18/12.01 (((~![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(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24319,plain,
% 17.18/12.01 (((~node13(s302, s303)) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2))) <=> (m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24320,plain,
% 17.18/12.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s302, s303)) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, 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(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303))))),
% 17.18/12.01 inference(monotonicity,[status(thm)],[24319])).
% 17.18/12.01 tff(24321,plain,
% 17.18/12.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s302, s303)) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, 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(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303)))),
% 17.18/12.01 inference(transitivity,[status(thm)],[24320, 24318])).
% 17.18/12.01 tff(24322,plain,
% 17.18/12.01 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s302, s303)) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24323,plain,
% 17.18/12.01 ((~![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(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24322, 24321])).
% 17.18/12.01 tff(24324,plain,
% 17.18/12.01 (~m_main_v_state2(s303, c_n2)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24323, 311, 24242, 24317])).
% 17.18/12.01 tff(24325,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s303, c_n2) | (~node9(s303)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s303, c_n2) | (~node9(s303)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24326,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s303, c_n2) | (~node9(s303)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24327,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s303, c_n2) | (~node9(s303))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24326, 24325])).
% 17.18/12.01 tff(24328,plain,
% 17.18/12.01 (~node9(s303)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24327, 88, 24324])).
% 17.18/12.01 tff(24329,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s303, c_n2) | (~node10(s303)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s303, c_n2) | (~node10(s303)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24330,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s303, c_n2) | (~node10(s303)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24331,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s303, c_n2) | (~node10(s303))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24330, 24329])).
% 17.18/12.01 tff(24332,plain,
% 17.18/12.01 (~node10(s303)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24331, 249, 24324])).
% 17.18/12.01 tff(24333,plain,
% 17.18/12.01 (((~![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(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24334,plain,
% 17.18/12.01 (((~node13(s302, s303)) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2)) <=> ((~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24335,plain,
% 17.18/12.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s302, s303)) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, 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(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303))))),
% 17.18/12.01 inference(monotonicity,[status(thm)],[24334])).
% 17.18/12.01 tff(24336,plain,
% 17.18/12.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s302, s303)) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, 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(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303)))),
% 17.18/12.01 inference(transitivity,[status(thm)],[24335, 24333])).
% 17.18/12.01 tff(24337,plain,
% 17.18/12.01 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s302, s303)) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24338,plain,
% 17.18/12.01 ((~![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(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24337, 24336])).
% 17.18/12.01 tff(24339,plain,
% 17.18/12.01 (m_main_v_state2(s303, c_t2)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24338, 518, 24238, 24317])).
% 17.18/12.01 tff(24340,plain,
% 17.18/12.01 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s302, c_t1)) | (~m_main_v_state1(s302, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s302, c_t1)) | (~m_main_v_state1(s302, c_c1)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24341,plain,
% 17.18/12.01 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s302, c_t1)) | (~m_main_v_state1(s302, c_c1)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24342,plain,
% 17.18/12.01 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s302, c_t1)) | (~m_main_v_state1(s302, c_c1))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24341, 24340])).
% 17.18/12.01 tff(24343,plain,
% 17.18/12.01 (~m_main_v_state1(s302, c_t1)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24342, 539, 24293])).
% 17.18/12.01 tff(24344,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s302, c_t1) | (~node5(s302)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s302, c_t1) | (~node5(s302)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24345,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s302, c_t1) | (~node5(s302)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24346,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s302, c_t1) | (~node5(s302))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24345, 24344])).
% 17.18/12.01 tff(24347,plain,
% 17.18/12.01 (~node5(s302)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24346, 550, 24343])).
% 17.18/12.01 tff(24348,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s302, c_n2) | (~node4(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s302, c_n2) | (~node4(s302)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24349,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s302, c_n2) | (~node4(s302)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24350,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s302, c_n2) | (~node4(s302))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24349, 24348])).
% 17.18/12.01 tff(24351,plain,
% 17.18/12.01 (~node4(s302)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24350, 388, 24242])).
% 17.18/12.01 tff(24352,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s302, c_c2) | (~node3(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s302, c_c2) | (~node3(s302)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24353,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s302, c_c2) | (~node3(s302)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24354,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s302, c_c2) | (~node3(s302))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24353, 24352])).
% 17.18/12.01 tff(24355,plain,
% 17.18/12.01 (~node3(s302)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24354, 399, 24258])).
% 17.18/12.01 tff(24356,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s302, c_n2) | (~node2(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s302, c_n2) | (~node2(s302)))),
% 17.18/12.01 inference(rewrite,[status(thm)],[])).
% 17.18/12.01 tff(24357,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s302, c_n2) | (~node2(s302)))),
% 17.18/12.01 inference(quant_inst,[status(thm)],[])).
% 17.18/12.01 tff(24358,plain,
% 17.18/12.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s302, c_n2) | (~node2(s302))),
% 17.18/12.01 inference(modus_ponens,[status(thm)],[24357, 24356])).
% 17.18/12.01 tff(24359,plain,
% 17.18/12.01 (~node2(s302)),
% 17.18/12.01 inference(unit_resolution,[status(thm)],[24358, 410, 24242])).
% 17.18/12.01 tff(24360,plain,
% 17.18/12.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s302, c_n1) | (~node1(s302)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s302, c_n1) | (~node1(s302)))),
% 17.22/12.01 inference(rewrite,[status(thm)],[])).
% 17.22/12.01 tff(24361,plain,
% 17.22/12.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s302, c_n1) | (~node1(s302)))),
% 17.22/12.01 inference(quant_inst,[status(thm)],[])).
% 17.22/12.01 tff(24362,plain,
% 17.22/12.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s302, c_n1) | (~node1(s302))),
% 17.22/12.01 inference(modus_ponens,[status(thm)],[24361, 24360])).
% 17.22/12.01 tff(24363,plain,
% 17.22/12.01 (~node1(s302)),
% 17.22/12.01 inference(unit_resolution,[status(thm)],[24362, 421, 24297])).
% 17.22/12.01 tff(24364,plain,
% 17.22/12.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s302, s303)) | node7(s302, s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s302, s303)) | node7(s302, s303))),
% 17.22/12.01 inference(rewrite,[status(thm)],[])).
% 17.22/12.01 tff(24365,plain,
% 17.22/12.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s302, s303)) | node7(s302, s303))),
% 17.22/12.01 inference(quant_inst,[status(thm)],[])).
% 17.22/12.01 tff(24366,plain,
% 17.22/12.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s302, s303)) | node7(s302, s303)),
% 17.22/12.01 inference(modus_ponens,[status(thm)],[24365, 24364])).
% 17.22/12.01 tff(24367,plain,
% 17.22/12.01 (node7(s302, s303)),
% 17.22/12.01 inference(unit_resolution,[status(thm)],[24366, 206, 24308])).
% 17.22/12.01 tff(24368,plain,
% 17.22/12.01 (((~![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(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)))),
% 17.22/12.01 inference(rewrite,[status(thm)],[])).
% 17.22/12.01 tff(24369,plain,
% 17.22/12.01 (((~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)) | m_main_v_state1(s303, c_n1)) <=> (m_main_v_state1(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)))),
% 17.22/12.01 inference(rewrite,[status(thm)],[])).
% 17.22/12.01 tff(24370,plain,
% 17.22/12.01 (((~![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(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)) | m_main_v_state1(s303, 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(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303))))),
% 17.22/12.01 inference(monotonicity,[status(thm)],[24369])).
% 17.22/12.01 tff(24371,plain,
% 17.22/12.01 (((~![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(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)) | m_main_v_state1(s303, 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(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)))),
% 17.22/12.01 inference(transitivity,[status(thm)],[24370, 24368])).
% 17.22/12.01 tff(24372,plain,
% 17.22/12.01 ((~![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(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)) | m_main_v_state1(s303, c_n1))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24373,plain,
% 17.22/12.02 ((~![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(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24372, 24371])).
% 17.22/12.02 tff(24374,plain,
% 17.22/12.02 (m_main_v_state1(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24373, 584, 24367])).
% 17.22/12.02 tff(24375,plain,
% 17.22/12.02 (m_main_v_state1(s303, c_n1)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24374, 24363, 24293, 24359, 24355, 24351, 24347])).
% 17.22/12.02 tff(24376,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s303, c_n2) | (~node8(s303)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s303, c_n2) | (~node8(s303)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24377,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s303, c_n2) | (~node8(s303)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24378,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s303, c_n2) | (~node8(s303))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24377, 24376])).
% 17.22/12.02 tff(24379,plain,
% 17.22/12.02 (~node8(s303)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24378, 271, 24324])).
% 17.22/12.02 tff(24380,plain,
% 17.22/12.02 (succ(s303, s304) <=> succ(s303, s304)),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24381,axiom,(succ(s303, s304)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound304')).
% 17.22/12.02 tff(24382,plain,
% 17.22/12.02 (succ(s303, s304)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24381, 24380])).
% 17.22/12.02 tff(24383,plain,
% 17.22/12.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s303, s304)) | trans(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s303, s304)) | trans(s303, s304))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24384,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s303, s304)) | trans(s303, s304))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24385,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s303, s304)) | trans(s303, s304)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24384, 24383])).
% 17.22/12.02 tff(24386,plain,
% 17.22/12.02 (trans(s303, s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24385, 24382, 32])).
% 17.22/12.02 tff(24387,plain,
% 17.22/12.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s303, s304)) | node14(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s303, s304)) | node14(s303, s304))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24388,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s303, s304)) | node14(s303, s304))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24389,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s303, s304)) | node14(s303, s304)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24388, 24387])).
% 17.22/12.02 tff(24390,plain,
% 17.22/12.02 (node14(s303, s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24389, 46, 24386])).
% 17.22/12.02 tff(24391,plain,
% 17.22/12.02 (((~![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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | node9(s303) | node8(s303) | node10(s303) | (~node14(s303, s304)) | m_main_v_state2(s304, 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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | node9(s303) | node8(s303) | node10(s303) | (~node14(s303, s304)) | m_main_v_state2(s304, c_c2))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24392,plain,
% 17.22/12.02 ((~![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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | node9(s303) | node8(s303) | node10(s303) | (~node14(s303, s304)) | m_main_v_state2(s304, c_c2))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24393,plain,
% 17.22/12.02 ((~![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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | node9(s303) | node8(s303) | node10(s303) | (~node14(s303, s304)) | m_main_v_state2(s304, c_c2)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24392, 24391])).
% 17.22/12.02 tff(24394,plain,
% 17.22/12.02 ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | node9(s303) | node8(s303) | node10(s303) | m_main_v_state2(s304, c_c2)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24393, 617, 24390])).
% 17.22/12.02 tff(24395,plain,
% 17.22/12.02 (m_main_v_state2(s304, c_c2)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24394, 24379, 24375, 24339, 24332, 24328])).
% 17.22/12.02 tff(24396,plain,
% 17.22/12.02 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s304, c_t2)) | (~m_main_v_state2(s304, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s304, c_t2)) | (~m_main_v_state2(s304, c_c2)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24397,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s304, c_t2)) | (~m_main_v_state2(s304, c_c2)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24398,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s304, c_t2)) | (~m_main_v_state2(s304, c_c2))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24397, 24396])).
% 17.22/12.02 tff(24399,plain,
% 17.22/12.02 (~m_main_v_state2(s304, c_t2)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24398, 260, 24395])).
% 17.22/12.02 tff(24400,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s304, c_t2) | (~node12(s304)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s304, c_t2) | (~node12(s304)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24401,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s304, c_t2) | (~node12(s304)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24402,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s304, c_t2) | (~node12(s304))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24401, 24400])).
% 17.22/12.02 tff(24403,plain,
% 17.22/12.02 (~node12(s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24402, 633, 24399])).
% 17.22/12.02 tff(24404,plain,
% 17.22/12.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s303, s304)) | node7(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s303, s304)) | node7(s303, s304))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24405,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s303, s304)) | node7(s303, s304))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24406,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s303, s304)) | node7(s303, s304)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24405, 24404])).
% 17.22/12.02 tff(24407,plain,
% 17.22/12.02 (node7(s303, s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24406, 206, 24386])).
% 17.22/12.02 tff(24408,plain,
% 17.22/12.02 (((~![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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node7(s303, s304)) | m_main_v_state1(s304, 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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node7(s303, s304)) | m_main_v_state1(s304, c_t1))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24409,plain,
% 17.22/12.02 ((~![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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node7(s303, s304)) | m_main_v_state1(s304, c_t1))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24410,plain,
% 17.22/12.02 ((~![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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node7(s303, s304)) | m_main_v_state1(s304, c_t1)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24409, 24408])).
% 17.22/12.02 tff(24411,plain,
% 17.22/12.02 ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | m_main_v_state1(s304, c_t1)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24410, 651, 24407])).
% 17.22/12.02 tff(24412,plain,
% 17.22/12.02 (m_main_v_state1(s304, c_t1)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24411, 24339, 24375])).
% 17.22/12.02 tff(24413,plain,
% 17.22/12.02 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s304, c_n1)) | (~m_main_v_state1(s304, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s304, c_n1)) | (~m_main_v_state1(s304, c_t1)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24414,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s304, c_n1)) | (~m_main_v_state1(s304, c_t1)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24415,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s304, c_n1)) | (~m_main_v_state1(s304, c_t1))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24414, 24413])).
% 17.22/12.02 tff(24416,plain,
% 17.22/12.02 (~m_main_v_state1(s304, c_n1)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24415, 10, 24412])).
% 17.22/12.02 tff(24417,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s304, c_n1) | (~node11(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s304, c_n1) | (~node11(s304)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24418,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s304, c_n1) | (~node11(s304)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24419,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s304, c_n1) | (~node11(s304))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24418, 24417])).
% 17.22/12.02 tff(24420,plain,
% 17.22/12.02 (~node11(s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24419, 238, 24416])).
% 17.22/12.02 tff(24421,plain,
% 17.22/12.02 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s304, c_t1)) | (~m_main_v_state1(s304, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s304, c_t1)) | (~m_main_v_state1(s304, c_c1)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24422,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s304, c_t1)) | (~m_main_v_state1(s304, c_c1)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24423,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s304, c_t1)) | (~m_main_v_state1(s304, c_c1))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24422, 24421])).
% 17.22/12.02 tff(24424,plain,
% 17.22/12.02 (~m_main_v_state1(s304, c_c1)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24423, 539, 24412])).
% 17.22/12.02 tff(24425,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s304, c_c1) | (~node10(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s304, c_c1) | (~node10(s304)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24426,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s304, c_c1) | (~node10(s304)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24427,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s304, c_c1) | (~node10(s304))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24426, 24425])).
% 17.22/12.02 tff(24428,plain,
% 17.22/12.02 (~node10(s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24427, 675, 24424])).
% 17.22/12.02 tff(24429,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s304, c_n1) | (~node9(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s304, c_n1) | (~node9(s304)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24430,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s304, c_n1) | (~node9(s304)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24431,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s304, c_n1) | (~node9(s304))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24430, 24429])).
% 17.22/12.02 tff(24432,plain,
% 17.22/12.02 (~node9(s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24431, 686, 24416])).
% 17.22/12.02 tff(24433,plain,
% 17.22/12.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s304, c_n2)) | (~m_main_v_state2(s304, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s304, c_n2)) | (~m_main_v_state2(s304, c_c2)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24434,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s304, c_n2)) | (~m_main_v_state2(s304, c_c2)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24435,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s304, c_n2)) | (~m_main_v_state2(s304, c_c2))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24434, 24433])).
% 17.22/12.02 tff(24436,plain,
% 17.22/12.02 (~m_main_v_state2(s304, c_n2)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24435, 697, 24395])).
% 17.22/12.02 tff(24437,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s304, c_n2) | (~node8(s304)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s304, c_n2) | (~node8(s304)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24438,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s304, c_n2) | (~node8(s304)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24439,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s304, c_n2) | (~node8(s304))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24438, 24437])).
% 17.22/12.02 tff(24440,plain,
% 17.22/12.02 (~node8(s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24439, 271, 24436])).
% 17.22/12.02 tff(24441,plain,
% 17.22/12.02 (succ(s304, s305) <=> succ(s304, s305)),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24442,axiom,(succ(s304, s305)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound305')).
% 17.22/12.02 tff(24443,plain,
% 17.22/12.02 (succ(s304, s305)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24442, 24441])).
% 17.22/12.02 tff(24444,plain,
% 17.22/12.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s304, s305)) | trans(s304, s305))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s304, s305)) | trans(s304, s305))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24445,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s304, s305)) | trans(s304, s305))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24446,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s304, s305)) | trans(s304, s305)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24445, 24444])).
% 17.22/12.02 tff(24447,plain,
% 17.22/12.02 (trans(s304, s305)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24446, 24443, 32])).
% 17.22/12.02 tff(24448,plain,
% 17.22/12.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s304, s305)) | node14(s304, s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s304, s305)) | node14(s304, s305))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24449,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s304, s305)) | node14(s304, s305))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24450,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s304, s305)) | node14(s304, s305)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24449, 24448])).
% 17.22/12.02 tff(24451,plain,
% 17.22/12.02 (node14(s304, s305)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24450, 46, 24447])).
% 17.22/12.02 tff(24452,plain,
% 17.22/12.02 (((~![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(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, 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(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24453,plain,
% 17.22/12.02 (((~m_main_v_state2(s304, c_c2)) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | m_main_v_state2(s305, c_n2)) <=> (m_main_v_state2(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24454,plain,
% 17.22/12.02 (((~![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(s304, c_c2)) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | m_main_v_state2(s305, 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(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2))))),
% 17.22/12.02 inference(monotonicity,[status(thm)],[24453])).
% 17.22/12.02 tff(24455,plain,
% 17.22/12.02 (((~![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(s304, c_c2)) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | m_main_v_state2(s305, 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(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2)))),
% 17.22/12.02 inference(transitivity,[status(thm)],[24454, 24452])).
% 17.22/12.02 tff(24456,plain,
% 17.22/12.02 ((~![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(s304, c_c2)) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | m_main_v_state2(s305, c_n2))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24457,plain,
% 17.22/12.02 ((~![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(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24456, 24455])).
% 17.22/12.02 tff(24458,plain,
% 17.22/12.02 (m_main_v_state2(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~m_main_v_state2(s304, c_c2))),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24457, 726, 24451])).
% 17.22/12.02 tff(24459,plain,
% 17.22/12.02 (m_main_v_state2(s305, c_n2)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24458, 24440, 24395, 24432, 24428, 24420, 24403])).
% 17.22/12.02 tff(24460,plain,
% 17.22/12.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_c2)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24461,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_c2)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24462,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_c2))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24461, 24460])).
% 17.22/12.02 tff(24463,plain,
% 17.22/12.02 (~m_main_v_state2(s305, c_c2)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24462, 697, 24459])).
% 17.22/12.02 tff(24464,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s305, c_c2) | (~node3(s305)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s305, c_c2) | (~node3(s305)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24465,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s305, c_c2) | (~node3(s305)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24466,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s305, c_c2) | (~node3(s305))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24465, 24464])).
% 17.22/12.02 tff(24467,plain,
% 17.22/12.02 (~node3(s305)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24466, 399, 24463])).
% 17.22/12.02 tff(24468,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s304, c_n1) | (~node1(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s304, c_n1) | (~node1(s304)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24469,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s304, c_n1) | (~node1(s304)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24470,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s304, c_n1) | (~node1(s304))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24469, 24468])).
% 17.22/12.02 tff(24471,plain,
% 17.22/12.02 (~node1(s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24470, 421, 24416])).
% 17.22/12.02 tff(24472,plain,
% 17.22/12.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s303, s304)) | node18(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s303, s304)) | node18(s303, s304))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24473,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s303, s304)) | node18(s303, s304))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24474,plain,
% 17.22/12.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s303, s304)) | node18(s303, s304)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24473, 24472])).
% 17.22/12.02 tff(24475,plain,
% 17.22/12.02 (node18(s303, s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24474, 125, 24386])).
% 17.22/12.02 tff(24476,plain,
% 17.22/12.02 (((~![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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node18(s303, s304)) | m_main_v_turn(s304, 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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node18(s303, s304)) | m_main_v_turn(s304, c_2))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24477,plain,
% 17.22/12.02 ((~![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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node18(s303, s304)) | m_main_v_turn(s304, c_2))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24478,plain,
% 17.22/12.02 ((~![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(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node18(s303, s304)) | m_main_v_turn(s304, c_2)),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24477, 24476])).
% 17.22/12.02 tff(24479,plain,
% 17.22/12.02 ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | m_main_v_turn(s304, c_2)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24478, 760, 24475])).
% 17.22/12.02 tff(24480,plain,
% 17.22/12.02 (m_main_v_turn(s304, c_2)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24479, 24339, 24375])).
% 17.22/12.02 tff(24481,plain,
% 17.22/12.02 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s304, c_1)) | (~m_main_v_turn(s304, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s304, c_1)) | (~m_main_v_turn(s304, c_2)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24482,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s304, c_1)) | (~m_main_v_turn(s304, c_2)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24483,plain,
% 17.22/12.02 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s304, c_1)) | (~m_main_v_turn(s304, c_2))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24482, 24481])).
% 17.22/12.02 tff(24484,plain,
% 17.22/12.02 (~m_main_v_turn(s304, c_1)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24483, 156, 24480])).
% 17.22/12.02 tff(24485,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s304, c_1) | (~node5(s304)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s304, c_1) | (~node5(s304)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24486,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s304, c_1) | (~node5(s304)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24487,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s304, c_1) | (~node5(s304))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24486, 24485])).
% 17.22/12.02 tff(24488,plain,
% 17.22/12.02 (~node5(s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24487, 776, 24484])).
% 17.22/12.02 tff(24489,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s304, c_n1) | (~node2(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s304, c_n1) | (~node2(s304)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24490,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s304, c_n1) | (~node2(s304)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24491,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s304, c_n1) | (~node2(s304))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24490, 24489])).
% 17.22/12.02 tff(24492,plain,
% 17.22/12.02 (~node2(s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24491, 787, 24416])).
% 17.22/12.02 tff(24493,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s304, c_n1) | (~node3(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s304, c_n1) | (~node3(s304)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24494,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s304, c_n1) | (~node3(s304)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24495,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s304, c_n1) | (~node3(s304))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24494, 24493])).
% 17.22/12.02 tff(24496,plain,
% 17.22/12.02 (~node3(s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24495, 798, 24416])).
% 17.22/12.02 tff(24497,plain,
% 17.22/12.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s304, c_n2) | (~node4(s304)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s304, c_n2) | (~node4(s304)))),
% 17.22/12.02 inference(rewrite,[status(thm)],[])).
% 17.22/12.02 tff(24498,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s304, c_n2) | (~node4(s304)))),
% 17.22/12.02 inference(quant_inst,[status(thm)],[])).
% 17.22/12.02 tff(24499,plain,
% 17.22/12.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s304, c_n2) | (~node4(s304))),
% 17.22/12.02 inference(modus_ponens,[status(thm)],[24498, 24497])).
% 17.22/12.02 tff(24500,plain,
% 17.22/12.02 (~node4(s304)),
% 17.22/12.02 inference(unit_resolution,[status(thm)],[24499, 388, 24436])).
% 17.22/12.03 tff(24501,plain,
% 17.22/12.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s304, s305)) | node7(s304, s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s304, s305)) | node7(s304, s305))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24502,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s304, s305)) | node7(s304, s305))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24503,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s304, s305)) | node7(s304, s305)),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24502, 24501])).
% 17.22/12.03 tff(24504,plain,
% 17.22/12.03 (node7(s304, s305)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24503, 206, 24447])).
% 17.22/12.03 tff(24505,plain,
% 17.22/12.03 (((~![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(s304, c_c1) | node1(s304) | node2(s304) | node3(s304) | node4(s304) | node5(s304) | node6(s304, s305) | (~node7(s304, s305)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s304, c_c1) | node1(s304) | node2(s304) | node3(s304) | node4(s304) | node5(s304) | node6(s304, s305) | (~node7(s304, s305)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24506,plain,
% 17.22/12.03 ((~![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(s304, c_c1) | node1(s304) | node2(s304) | node3(s304) | node4(s304) | node5(s304) | node6(s304, s305) | (~node7(s304, s305)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24507,plain,
% 17.22/12.03 ((~![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(s304, c_c1) | node1(s304) | node2(s304) | node3(s304) | node4(s304) | node5(s304) | node6(s304, s305) | (~node7(s304, s305))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24506, 24505])).
% 17.22/12.03 tff(24508,plain,
% 17.22/12.03 (m_main_v_state1(s304, c_c1) | node1(s304) | node2(s304) | node3(s304) | node4(s304) | node5(s304) | node6(s304, s305)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24507, 820, 24504])).
% 17.22/12.03 tff(24509,plain,
% 17.22/12.03 (node6(s304, s305)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24508, 24500, 24424, 24496, 24492, 24488, 24471])).
% 17.22/12.03 tff(24510,plain,
% 17.22/12.03 (((~![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(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24511,plain,
% 17.22/12.03 (((~node6(s304, s305)) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1))) <=> (m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24512,plain,
% 17.22/12.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s304, s305)) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, 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(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305))))),
% 17.22/12.03 inference(monotonicity,[status(thm)],[24511])).
% 17.22/12.03 tff(24513,plain,
% 17.22/12.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s304, s305)) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, 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(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305)))),
% 17.22/12.03 inference(transitivity,[status(thm)],[24512, 24510])).
% 17.22/12.03 tff(24514,plain,
% 17.22/12.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s304, s305)) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24515,plain,
% 17.22/12.03 ((~![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(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24514, 24513])).
% 17.22/12.03 tff(24516,plain,
% 17.22/12.03 (~m_main_v_state1(s305, c_n1)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24515, 835, 24416, 24509])).
% 17.22/12.03 tff(24517,plain,
% 17.22/12.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s305, c_n1) | (~node2(s305)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s305, c_n1) | (~node2(s305)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24518,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s305, c_n1) | (~node2(s305)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24519,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s305, c_n1) | (~node2(s305))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24518, 24517])).
% 17.22/12.03 tff(24520,plain,
% 17.22/12.03 (~node2(s305)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24519, 787, 24516])).
% 17.22/12.03 tff(24521,plain,
% 17.22/12.03 (((~![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(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24522,plain,
% 17.22/12.03 (((~node6(s304, s305)) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1)) <=> ((~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24523,plain,
% 17.22/12.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s304, s305)) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, 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(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305))))),
% 17.22/12.03 inference(monotonicity,[status(thm)],[24522])).
% 17.22/12.03 tff(24524,plain,
% 17.22/12.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s304, s305)) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, 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(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305)))),
% 17.22/12.03 inference(transitivity,[status(thm)],[24523, 24521])).
% 17.22/12.03 tff(24525,plain,
% 17.22/12.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s304, s305)) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24526,plain,
% 17.22/12.03 ((~![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(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24525, 24524])).
% 17.22/12.03 tff(24527,plain,
% 17.22/12.03 (m_main_v_state1(s305, c_t1)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24526, 856, 24412, 24509])).
% 17.22/12.03 tff(24528,plain,
% 17.22/12.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_t2)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24529,plain,
% 17.22/12.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_t2)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24530,plain,
% 17.22/12.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_t2))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24529, 24528])).
% 17.22/12.03 tff(24531,plain,
% 17.22/12.03 (~m_main_v_state2(s305, c_t2)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24530, 77, 24459])).
% 17.22/12.03 tff(24532,plain,
% 17.22/12.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s305, c_t2) | (~node1(s305)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s305, c_t2) | (~node1(s305)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24533,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s305, c_t2) | (~node1(s305)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24534,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s305, c_t2) | (~node1(s305))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24533, 24532])).
% 17.22/12.03 tff(24535,plain,
% 17.22/12.03 (~node1(s305)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24534, 195, 24531])).
% 17.22/12.03 tff(24536,plain,
% 17.22/12.03 (succ(s305, s306) <=> succ(s305, s306)),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24537,axiom,(succ(s305, s306)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound306')).
% 17.22/12.03 tff(24538,plain,
% 17.22/12.03 (succ(s305, s306)),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24537, 24536])).
% 17.22/12.03 tff(24539,plain,
% 17.22/12.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s305, s306)) | trans(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s305, s306)) | trans(s305, s306))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24540,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s305, s306)) | trans(s305, s306))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24541,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s305, s306)) | trans(s305, s306)),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 17.22/12.03 tff(24542,plain,
% 17.22/12.03 (trans(s305, s306)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24541, 24538, 32])).
% 17.22/12.03 tff(24543,plain,
% 17.22/12.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s305, s306)) | node7(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s305, s306)) | node7(s305, s306))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24544,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s305, s306)) | node7(s305, s306))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24545,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s305, s306)) | node7(s305, s306)),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24544, 24543])).
% 17.22/12.03 tff(24546,plain,
% 17.22/12.03 (node7(s305, s306)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24545, 206, 24542])).
% 17.22/12.03 tff(24547,plain,
% 17.22/12.03 (((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24548,plain,
% 17.22/12.03 (((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)) | m_main_v_state1(s306, c_c1)) <=> ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24549,plain,
% 17.22/12.03 (((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)) | m_main_v_state1(s306, 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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306))))),
% 17.22/12.03 inference(monotonicity,[status(thm)],[24548])).
% 17.22/12.03 tff(24550,plain,
% 17.22/12.03 (((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)) | m_main_v_state1(s306, 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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)))),
% 17.22/12.03 inference(transitivity,[status(thm)],[24549, 24547])).
% 17.22/12.03 tff(24551,plain,
% 17.22/12.03 ((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)) | m_main_v_state1(s306, c_c1))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24552,plain,
% 17.22/12.03 ((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24551, 24550])).
% 17.22/12.03 tff(24553,plain,
% 17.22/12.03 ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24552, 892, 24546])).
% 17.22/12.03 tff(24554,plain,
% 17.22/12.03 (m_main_v_state1(s306, c_c1)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24553, 24535, 24459, 24527, 24520, 24467])).
% 17.22/12.03 tff(24555,plain,
% 17.22/12.03 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s306, c_t1)) | (~m_main_v_state1(s306, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s306, c_t1)) | (~m_main_v_state1(s306, c_c1)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24556,plain,
% 17.22/12.03 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s306, c_t1)) | (~m_main_v_state1(s306, c_c1)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24557,plain,
% 17.22/12.03 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s306, c_t1)) | (~m_main_v_state1(s306, c_c1))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24556, 24555])).
% 17.22/12.03 tff(24558,plain,
% 17.22/12.03 (~m_main_v_state1(s306, c_t1)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24557, 539, 24554])).
% 17.22/12.03 tff(24559,plain,
% 17.22/12.03 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s306, c_t1) | (~node5(s306)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s306, c_t1) | (~node5(s306)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24560,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s306, c_t1) | (~node5(s306)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24561,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s306, c_t1) | (~node5(s306))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24560, 24559])).
% 17.22/12.03 tff(24562,plain,
% 17.22/12.03 (~node5(s306)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24561, 550, 24558])).
% 17.22/12.03 tff(24563,plain,
% 17.22/12.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s305, s306)) | node14(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s305, s306)) | node14(s305, s306))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24564,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s305, s306)) | node14(s305, s306))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24565,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s305, s306)) | node14(s305, s306)),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24564, 24563])).
% 17.22/12.03 tff(24566,plain,
% 17.22/12.03 (node14(s305, s306)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24565, 46, 24542])).
% 17.22/12.03 tff(24567,plain,
% 17.22/12.03 (((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | (~node14(s305, s306)) | m_main_v_state2(s306, 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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | (~node14(s305, s306)) | m_main_v_state2(s306, c_t2))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24568,plain,
% 17.22/12.03 ((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | (~node14(s305, s306)) | m_main_v_state2(s306, c_t2))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24569,plain,
% 17.22/12.03 ((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | (~node14(s305, s306)) | m_main_v_state2(s306, c_t2)),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24568, 24567])).
% 17.22/12.03 tff(24570,plain,
% 17.22/12.03 ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state2(s306, c_t2)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24569, 922, 24566])).
% 17.22/12.03 tff(24571,plain,
% 17.22/12.03 (m_main_v_state2(s306, c_t2)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24570, 24527, 24459])).
% 17.22/12.03 tff(24572,plain,
% 17.22/12.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s306, c_n2)) | (~m_main_v_state2(s306, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s306, c_n2)) | (~m_main_v_state2(s306, c_t2)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24573,plain,
% 17.22/12.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s306, c_n2)) | (~m_main_v_state2(s306, c_t2)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24574,plain,
% 17.22/12.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s306, c_n2)) | (~m_main_v_state2(s306, c_t2))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24573, 24572])).
% 17.22/12.03 tff(24575,plain,
% 17.22/12.03 (~m_main_v_state2(s306, c_n2)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24574, 77, 24571])).
% 17.22/12.03 tff(24576,plain,
% 17.22/12.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s306, c_n2) | (~node4(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s306, c_n2) | (~node4(s306)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24577,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s306, c_n2) | (~node4(s306)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24578,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s306, c_n2) | (~node4(s306))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24577, 24576])).
% 17.22/12.03 tff(24579,plain,
% 17.22/12.03 (~node4(s306)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24578, 388, 24575])).
% 17.22/12.03 tff(24580,plain,
% 17.22/12.03 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s306, c_t2)) | (~m_main_v_state2(s306, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s306, c_t2)) | (~m_main_v_state2(s306, c_c2)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24581,plain,
% 17.22/12.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s306, c_t2)) | (~m_main_v_state2(s306, c_c2)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24582,plain,
% 17.22/12.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s306, c_t2)) | (~m_main_v_state2(s306, c_c2))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24581, 24580])).
% 17.22/12.03 tff(24583,plain,
% 17.22/12.03 (~m_main_v_state2(s306, c_c2)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24582, 260, 24571])).
% 17.22/12.03 tff(24584,plain,
% 17.22/12.03 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s306, c_c2) | (~node3(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s306, c_c2) | (~node3(s306)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24585,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s306, c_c2) | (~node3(s306)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24586,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s306, c_c2) | (~node3(s306))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24585, 24584])).
% 17.22/12.03 tff(24587,plain,
% 17.22/12.03 (~node3(s306)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24586, 399, 24583])).
% 17.22/12.03 tff(24588,plain,
% 17.22/12.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s306, c_n2) | (~node2(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s306, c_n2) | (~node2(s306)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24589,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s306, c_n2) | (~node2(s306)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24590,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s306, c_n2) | (~node2(s306))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24589, 24588])).
% 17.22/12.03 tff(24591,plain,
% 17.22/12.03 (~node2(s306)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24590, 410, 24575])).
% 17.22/12.03 tff(24592,plain,
% 17.22/12.03 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s306, c_n1)) | (~m_main_v_state1(s306, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s306, c_n1)) | (~m_main_v_state1(s306, c_c1)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24593,plain,
% 17.22/12.03 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s306, c_n1)) | (~m_main_v_state1(s306, c_c1)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24594,plain,
% 17.22/12.03 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s306, c_n1)) | (~m_main_v_state1(s306, c_c1))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24593, 24592])).
% 17.22/12.03 tff(24595,plain,
% 17.22/12.03 (~m_main_v_state1(s306, c_n1)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24594, 454, 24554])).
% 17.22/12.03 tff(24596,plain,
% 17.22/12.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s306, c_n1) | (~node1(s306)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s306, c_n1) | (~node1(s306)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24597,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s306, c_n1) | (~node1(s306)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24598,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s306, c_n1) | (~node1(s306))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24597, 24596])).
% 17.22/12.03 tff(24599,plain,
% 17.22/12.03 (~node1(s306)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24598, 421, 24595])).
% 17.22/12.03 tff(24600,plain,
% 17.22/12.03 (succ(s306, s307) <=> succ(s306, s307)),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24601,axiom,(succ(s306, s307)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound307')).
% 17.22/12.03 tff(24602,plain,
% 17.22/12.03 (succ(s306, s307)),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24601, 24600])).
% 17.22/12.03 tff(24603,plain,
% 17.22/12.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s306, s307)) | trans(s306, s307))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s306, s307)) | trans(s306, s307))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24604,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s306, s307)) | trans(s306, s307))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24605,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s306, s307)) | trans(s306, s307)),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24604, 24603])).
% 17.22/12.03 tff(24606,plain,
% 17.22/12.03 (trans(s306, s307)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24605, 24602, 32])).
% 17.22/12.03 tff(24607,plain,
% 17.22/12.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s306, s307)) | node7(s306, s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s306, s307)) | node7(s306, s307))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24608,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s306, s307)) | node7(s306, s307))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24609,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s306, s307)) | node7(s306, s307)),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24608, 24607])).
% 17.22/12.03 tff(24610,plain,
% 17.22/12.03 (node7(s306, s307)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24609, 206, 24606])).
% 17.22/12.03 tff(24611,plain,
% 17.22/12.03 (((~![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(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24612,plain,
% 17.22/12.03 (((~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)) | m_main_v_state1(s307, c_n1)) <=> (m_main_v_state1(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24613,plain,
% 17.22/12.03 (((~![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(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)) | m_main_v_state1(s307, 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(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307))))),
% 17.22/12.03 inference(monotonicity,[status(thm)],[24612])).
% 17.22/12.03 tff(24614,plain,
% 17.22/12.03 (((~![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(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)) | m_main_v_state1(s307, 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(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)))),
% 17.22/12.03 inference(transitivity,[status(thm)],[24613, 24611])).
% 17.22/12.03 tff(24615,plain,
% 17.22/12.03 ((~![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(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)) | m_main_v_state1(s307, c_n1))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24616,plain,
% 17.22/12.03 ((~![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(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24615, 24614])).
% 17.22/12.03 tff(24617,plain,
% 17.22/12.03 (m_main_v_state1(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24616, 584, 24610])).
% 17.22/12.03 tff(24618,plain,
% 17.22/12.03 (m_main_v_state1(s307, c_n1)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24617, 24599, 24554, 24591, 24587, 24579, 24562])).
% 17.22/12.03 tff(24619,plain,
% 17.22/12.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s305, c_t2) | (~node15(s305)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s305, c_t2) | (~node15(s305)))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24620,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s305, c_t2) | (~node15(s305)))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24621,plain,
% 17.22/12.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s305, c_t2) | (~node15(s305))),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24620, 24619])).
% 17.22/12.03 tff(24622,plain,
% 17.22/12.03 (~node15(s305)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24621, 103, 24531])).
% 17.22/12.03 tff(24623,plain,
% 17.22/12.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s305, s306)) | node18(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s305, s306)) | node18(s305, s306))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24624,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s305, s306)) | node18(s305, s306))),
% 17.22/12.03 inference(quant_inst,[status(thm)],[])).
% 17.22/12.03 tff(24625,plain,
% 17.22/12.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s305, s306)) | node18(s305, s306)),
% 17.22/12.03 inference(modus_ponens,[status(thm)],[24624, 24623])).
% 17.22/12.03 tff(24626,plain,
% 17.22/12.03 (node18(s305, s306)),
% 17.22/12.03 inference(unit_resolution,[status(thm)],[24625, 125, 24542])).
% 17.22/12.03 tff(24627,plain,
% 17.22/12.03 (((~![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(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24628,plain,
% 17.22/12.03 (((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node15(s305) | (~node18(s305, s306)) | m_main_v_turn(s306, c_1)) <=> (node15(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1))),
% 17.22/12.03 inference(rewrite,[status(thm)],[])).
% 17.22/12.03 tff(24629,plain,
% 17.22/12.03 (((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node15(s305) | (~node18(s305, s306)) | m_main_v_turn(s306, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1)))),
% 17.22/12.03 inference(monotonicity,[status(thm)],[24628])).
% 17.22/12.03 tff(24630,plain,
% 17.22/12.03 (((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node15(s305) | (~node18(s305, s306)) | m_main_v_turn(s306, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1))),
% 17.22/12.04 inference(transitivity,[status(thm)],[24629, 24627])).
% 17.22/12.04 tff(24631,plain,
% 17.22/12.04 ((~![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(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node15(s305) | (~node18(s305, s306)) | m_main_v_turn(s306, c_1))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24632,plain,
% 17.22/12.04 ((~![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(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1)),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24631, 24630])).
% 17.22/12.04 tff(24633,plain,
% 17.22/12.04 (node15(s305) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24632, 992, 24626])).
% 17.22/12.04 tff(24634,plain,
% 17.22/12.04 (m_main_v_turn(s306, c_1)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24633, 24622, 24459, 24527])).
% 17.22/12.04 tff(24635,plain,
% 17.22/12.04 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s306, c_1)) | (~m_main_v_turn(s306, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s306, c_1)) | (~m_main_v_turn(s306, c_2)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24636,plain,
% 17.22/12.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s306, c_1)) | (~m_main_v_turn(s306, c_2)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24637,plain,
% 17.22/12.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s306, c_1)) | (~m_main_v_turn(s306, c_2))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24636, 24635])).
% 17.22/12.04 tff(24638,plain,
% 17.22/12.04 (~m_main_v_turn(s306, c_2)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24637, 156, 24634])).
% 17.22/12.04 tff(24639,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s306, c_2) | (~node12(s306)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s306, c_2) | (~node12(s306)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24640,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s306, c_2) | (~node12(s306)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24641,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s306, c_2) | (~node12(s306))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24640, 24639])).
% 17.22/12.04 tff(24642,plain,
% 17.22/12.04 (~node12(s306)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24641, 184, 24638])).
% 17.22/12.04 tff(24643,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s306, c_n2) | (~node8(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s306, c_n2) | (~node8(s306)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24644,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s306, c_n2) | (~node8(s306)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24645,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s306, c_n2) | (~node8(s306))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24644, 24643])).
% 17.22/12.04 tff(24646,plain,
% 17.22/12.04 (~node8(s306)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24645, 271, 24575])).
% 17.22/12.04 tff(24647,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s306, c_n2) | (~node9(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s306, c_n2) | (~node9(s306)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24648,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s306, c_n2) | (~node9(s306)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24649,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s306, c_n2) | (~node9(s306))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24648, 24647])).
% 17.22/12.04 tff(24650,plain,
% 17.22/12.04 (~node9(s306)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24649, 88, 24575])).
% 17.22/12.04 tff(24651,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s306, c_n2) | (~node10(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s306, c_n2) | (~node10(s306)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24652,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s306, c_n2) | (~node10(s306)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24653,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s306, c_n2) | (~node10(s306))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24652, 24651])).
% 17.22/12.04 tff(24654,plain,
% 17.22/12.04 (~node10(s306)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24653, 249, 24575])).
% 17.22/12.04 tff(24655,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s306, c_n1) | (~node11(s306)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s306, c_n1) | (~node11(s306)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24656,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s306, c_n1) | (~node11(s306)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24657,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s306, c_n1) | (~node11(s306))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24656, 24655])).
% 17.22/12.04 tff(24658,plain,
% 17.22/12.04 (~node11(s306)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24657, 238, 24595])).
% 17.22/12.04 tff(24659,plain,
% 17.22/12.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s306, s307)) | node14(s306, s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s306, s307)) | node14(s306, s307))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24660,plain,
% 17.22/12.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s306, s307)) | node14(s306, s307))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24661,plain,
% 17.22/12.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s306, s307)) | node14(s306, s307)),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24660, 24659])).
% 17.22/12.04 tff(24662,plain,
% 17.22/12.04 (node14(s306, s307)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24661, 46, 24606])).
% 17.22/12.04 tff(24663,plain,
% 17.22/12.04 (((~![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(s306, c_c2) | node9(s306) | node8(s306) | node10(s306) | node11(s306) | node12(s306) | node13(s306, s307) | (~node14(s306, s307)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s306, c_c2) | node9(s306) | node8(s306) | node10(s306) | node11(s306) | node12(s306) | node13(s306, s307) | (~node14(s306, s307)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24664,plain,
% 17.22/12.04 ((~![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(s306, c_c2) | node9(s306) | node8(s306) | node10(s306) | node11(s306) | node12(s306) | node13(s306, s307) | (~node14(s306, s307)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24665,plain,
% 17.22/12.04 ((~![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(s306, c_c2) | node9(s306) | node8(s306) | node10(s306) | node11(s306) | node12(s306) | node13(s306, s307) | (~node14(s306, s307))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24664, 24663])).
% 17.22/12.04 tff(24666,plain,
% 17.22/12.04 (m_main_v_state2(s306, c_c2) | node9(s306) | node8(s306) | node10(s306) | node11(s306) | node12(s306) | node13(s306, s307)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24665, 296, 24662])).
% 17.22/12.04 tff(24667,plain,
% 17.22/12.04 (node13(s306, s307)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24666, 24658, 24583, 24654, 24650, 24646, 24642])).
% 17.22/12.04 tff(24668,plain,
% 17.22/12.04 (((~![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(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24669,plain,
% 17.22/12.04 (((~node13(s306, s307)) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2)) <=> ((~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24670,plain,
% 17.22/12.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s306, s307)) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, 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(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307))))),
% 17.22/12.04 inference(monotonicity,[status(thm)],[24669])).
% 17.22/12.04 tff(24671,plain,
% 17.22/12.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s306, s307)) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, 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(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307)))),
% 17.22/12.04 inference(transitivity,[status(thm)],[24670, 24668])).
% 17.22/12.04 tff(24672,plain,
% 17.22/12.04 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s306, s307)) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24673,plain,
% 17.22/12.04 ((~![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(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24672, 24671])).
% 17.22/12.04 tff(24674,plain,
% 17.22/12.04 (m_main_v_state2(s307, c_t2)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24673, 518, 24571, 24667])).
% 17.22/12.04 tff(24675,plain,
% 17.22/12.04 (succ(s307, s308) <=> succ(s307, s308)),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24676,axiom,(succ(s307, s308)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound308')).
% 17.22/12.04 tff(24677,plain,
% 17.22/12.04 (succ(s307, s308)),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24676, 24675])).
% 17.22/12.04 tff(24678,plain,
% 17.22/12.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s307, s308)) | trans(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s307, s308)) | trans(s307, s308))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24679,plain,
% 17.22/12.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s307, s308)) | trans(s307, s308))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24680,plain,
% 17.22/12.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s307, s308)) | trans(s307, s308)),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24679, 24678])).
% 17.22/12.04 tff(24681,plain,
% 17.22/12.04 (trans(s307, s308)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24680, 24677, 32])).
% 17.22/12.04 tff(24682,plain,
% 17.22/12.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s307, s308)) | node7(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s307, s308)) | node7(s307, s308))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24683,plain,
% 17.22/12.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s307, s308)) | node7(s307, s308))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24684,plain,
% 17.22/12.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s307, s308)) | node7(s307, s308)),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24683, 24682])).
% 17.22/12.04 tff(24685,plain,
% 17.22/12.04 (node7(s307, s308)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24684, 206, 24681])).
% 17.22/12.04 tff(24686,plain,
% 17.22/12.04 (((~![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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node7(s307, s308)) | m_main_v_state1(s308, 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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node7(s307, s308)) | m_main_v_state1(s308, c_t1))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24687,plain,
% 17.22/12.04 ((~![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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node7(s307, s308)) | m_main_v_state1(s308, c_t1))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24688,plain,
% 17.22/12.04 ((~![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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node7(s307, s308)) | m_main_v_state1(s308, c_t1)),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24687, 24686])).
% 17.22/12.04 tff(24689,plain,
% 17.22/12.04 ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | m_main_v_state1(s308, c_t1)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24688, 651, 24685])).
% 17.22/12.04 tff(24690,plain,
% 17.22/12.04 (m_main_v_state1(s308, c_t1)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24689, 24674, 24618])).
% 17.22/12.04 tff(24691,plain,
% 17.22/12.04 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s308, c_n1)) | (~m_main_v_state1(s308, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s308, c_n1)) | (~m_main_v_state1(s308, c_t1)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24692,plain,
% 17.22/12.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s308, c_n1)) | (~m_main_v_state1(s308, c_t1)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24693,plain,
% 17.22/12.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s308, c_n1)) | (~m_main_v_state1(s308, c_t1))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24692, 24691])).
% 17.22/12.04 tff(24694,plain,
% 17.22/12.04 (~m_main_v_state1(s308, c_n1)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24693, 10, 24690])).
% 17.22/12.04 tff(24695,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s308, c_n1) | (~node1(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s308, c_n1) | (~node1(s308)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24696,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s308, c_n1) | (~node1(s308)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24697,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s308, c_n1) | (~node1(s308))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24696, 24695])).
% 17.22/12.04 tff(24698,plain,
% 17.22/12.04 (~node1(s308)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24697, 421, 24694])).
% 17.22/12.04 tff(24699,plain,
% 17.22/12.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s307, s308)) | node18(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s307, s308)) | node18(s307, s308))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24700,plain,
% 17.22/12.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s307, s308)) | node18(s307, s308))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24701,plain,
% 17.22/12.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s307, s308)) | node18(s307, s308)),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24700, 24699])).
% 17.22/12.04 tff(24702,plain,
% 17.22/12.04 (node18(s307, s308)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24701, 125, 24681])).
% 17.22/12.04 tff(24703,plain,
% 17.22/12.04 (((~![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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node18(s307, s308)) | m_main_v_turn(s308, 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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node18(s307, s308)) | m_main_v_turn(s308, c_2))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24704,plain,
% 17.22/12.04 ((~![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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node18(s307, s308)) | m_main_v_turn(s308, c_2))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24705,plain,
% 17.22/12.04 ((~![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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node18(s307, s308)) | m_main_v_turn(s308, c_2)),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24704, 24703])).
% 17.22/12.04 tff(24706,plain,
% 17.22/12.04 ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | m_main_v_turn(s308, c_2)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24705, 760, 24702])).
% 17.22/12.04 tff(24707,plain,
% 17.22/12.04 (m_main_v_turn(s308, c_2)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24706, 24674, 24618])).
% 17.22/12.04 tff(24708,plain,
% 17.22/12.04 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s308, c_1)) | (~m_main_v_turn(s308, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s308, c_1)) | (~m_main_v_turn(s308, c_2)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24709,plain,
% 17.22/12.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s308, c_1)) | (~m_main_v_turn(s308, c_2)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24710,plain,
% 17.22/12.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s308, c_1)) | (~m_main_v_turn(s308, c_2))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24709, 24708])).
% 17.22/12.04 tff(24711,plain,
% 17.22/12.04 (~m_main_v_turn(s308, c_1)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24710, 156, 24707])).
% 17.22/12.04 tff(24712,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s308, c_1) | (~node5(s308)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s308, c_1) | (~node5(s308)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24713,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s308, c_1) | (~node5(s308)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24714,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s308, c_1) | (~node5(s308))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24713, 24712])).
% 17.22/12.04 tff(24715,plain,
% 17.22/12.04 (~node5(s308)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24714, 776, 24711])).
% 17.22/12.04 tff(24716,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s308, c_n1) | (~node2(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s308, c_n1) | (~node2(s308)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24717,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s308, c_n1) | (~node2(s308)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24718,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s308, c_n1) | (~node2(s308))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24717, 24716])).
% 17.22/12.04 tff(24719,plain,
% 17.22/12.04 (~node2(s308)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24718, 787, 24694])).
% 17.22/12.04 tff(24720,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s308, c_n1) | (~node3(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s308, c_n1) | (~node3(s308)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24721,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s308, c_n1) | (~node3(s308)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24722,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s308, c_n1) | (~node3(s308))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24721, 24720])).
% 17.22/12.04 tff(24723,plain,
% 17.22/12.04 (~node3(s308)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24722, 798, 24694])).
% 17.22/12.04 tff(24724,plain,
% 17.22/12.04 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s308, c_t1)) | (~m_main_v_state1(s308, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s308, c_t1)) | (~m_main_v_state1(s308, c_c1)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24725,plain,
% 17.22/12.04 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s308, c_t1)) | (~m_main_v_state1(s308, c_c1)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24726,plain,
% 17.22/12.04 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s308, c_t1)) | (~m_main_v_state1(s308, c_c1))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24725, 24724])).
% 17.22/12.04 tff(24727,plain,
% 17.22/12.04 (~m_main_v_state1(s308, c_c1)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24726, 539, 24690])).
% 17.22/12.04 tff(24728,plain,
% 17.22/12.04 (((~![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(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24729,plain,
% 17.22/12.04 (((~node13(s306, s307)) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2))) <=> (m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24730,plain,
% 17.22/12.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s306, s307)) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, 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(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307))))),
% 17.22/12.04 inference(monotonicity,[status(thm)],[24729])).
% 17.22/12.04 tff(24731,plain,
% 17.22/12.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s306, s307)) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, 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(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307)))),
% 17.22/12.04 inference(transitivity,[status(thm)],[24730, 24728])).
% 17.22/12.04 tff(24732,plain,
% 17.22/12.04 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s306, s307)) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24733,plain,
% 17.22/12.04 ((~![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(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24732, 24731])).
% 17.22/12.04 tff(24734,plain,
% 17.22/12.04 (~m_main_v_state2(s307, c_n2)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24733, 311, 24575, 24667])).
% 17.22/12.04 tff(24735,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s307, c_n2) | (~node9(s307)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s307, c_n2) | (~node9(s307)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24736,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s307, c_n2) | (~node9(s307)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24737,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s307, c_n2) | (~node9(s307))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24736, 24735])).
% 17.22/12.04 tff(24738,plain,
% 17.22/12.04 (~node9(s307)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24737, 88, 24734])).
% 17.22/12.04 tff(24739,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s307, c_n2) | (~node10(s307)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s307, c_n2) | (~node10(s307)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24740,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s307, c_n2) | (~node10(s307)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24741,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s307, c_n2) | (~node10(s307))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24740, 24739])).
% 17.22/12.04 tff(24742,plain,
% 17.22/12.04 (~node10(s307)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24741, 249, 24734])).
% 17.22/12.04 tff(24743,plain,
% 17.22/12.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s307, c_n2) | (~node8(s307)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s307, c_n2) | (~node8(s307)))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24744,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s307, c_n2) | (~node8(s307)))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24745,plain,
% 17.22/12.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s307, c_n2) | (~node8(s307))),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24744, 24743])).
% 17.22/12.04 tff(24746,plain,
% 17.22/12.04 (~node8(s307)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24745, 271, 24734])).
% 17.22/12.04 tff(24747,plain,
% 17.22/12.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s307, s308)) | node14(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s307, s308)) | node14(s307, s308))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24748,plain,
% 17.22/12.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s307, s308)) | node14(s307, s308))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24749,plain,
% 17.22/12.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s307, s308)) | node14(s307, s308)),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24748, 24747])).
% 17.22/12.04 tff(24750,plain,
% 17.22/12.04 (node14(s307, s308)),
% 17.22/12.04 inference(unit_resolution,[status(thm)],[24749, 46, 24681])).
% 17.22/12.04 tff(24751,plain,
% 17.22/12.04 (((~![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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | node9(s307) | node8(s307) | node10(s307) | (~node14(s307, s308)) | m_main_v_state2(s308, 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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | node9(s307) | node8(s307) | node10(s307) | (~node14(s307, s308)) | m_main_v_state2(s308, c_c2))),
% 17.22/12.04 inference(rewrite,[status(thm)],[])).
% 17.22/12.04 tff(24752,plain,
% 17.22/12.04 ((~![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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | node9(s307) | node8(s307) | node10(s307) | (~node14(s307, s308)) | m_main_v_state2(s308, c_c2))),
% 17.22/12.04 inference(quant_inst,[status(thm)],[])).
% 17.22/12.04 tff(24753,plain,
% 17.22/12.04 ((~![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(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | node9(s307) | node8(s307) | node10(s307) | (~node14(s307, s308)) | m_main_v_state2(s308, c_c2)),
% 17.22/12.04 inference(modus_ponens,[status(thm)],[24752, 24751])).
% 17.22/12.05 tff(24754,plain,
% 17.22/12.05 ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | node9(s307) | node8(s307) | node10(s307) | m_main_v_state2(s308, c_c2)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24753, 617, 24750])).
% 17.22/12.05 tff(24755,plain,
% 17.22/12.05 (m_main_v_state2(s308, c_c2)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24754, 24746, 24618, 24674, 24742, 24738])).
% 17.22/12.05 tff(24756,plain,
% 17.22/12.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s308, c_n2)) | (~m_main_v_state2(s308, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s308, c_n2)) | (~m_main_v_state2(s308, c_c2)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24757,plain,
% 17.22/12.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s308, c_n2)) | (~m_main_v_state2(s308, c_c2)))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24758,plain,
% 17.22/12.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s308, c_n2)) | (~m_main_v_state2(s308, c_c2))),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24757, 24756])).
% 17.22/12.05 tff(24759,plain,
% 17.22/12.05 (~m_main_v_state2(s308, c_n2)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24758, 697, 24755])).
% 17.22/12.05 tff(24760,plain,
% 17.22/12.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s308, c_n2) | (~node4(s308)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s308, c_n2) | (~node4(s308)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24761,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s308, c_n2) | (~node4(s308)))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24762,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s308, c_n2) | (~node4(s308))),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24761, 24760])).
% 17.22/12.05 tff(24763,plain,
% 17.22/12.05 (~node4(s308)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24762, 388, 24759])).
% 17.22/12.05 tff(24764,plain,
% 17.22/12.05 (succ(s308, s309) <=> succ(s308, s309)),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24765,axiom,(succ(s308, s309)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound309')).
% 17.22/12.05 tff(24766,plain,
% 17.22/12.05 (succ(s308, s309)),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24765, 24764])).
% 17.22/12.05 tff(24767,plain,
% 17.22/12.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s308, s309)) | trans(s308, s309))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s308, s309)) | trans(s308, s309))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24768,plain,
% 17.22/12.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s308, s309)) | trans(s308, s309))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24769,plain,
% 17.22/12.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s308, s309)) | trans(s308, s309)),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24768, 24767])).
% 17.22/12.05 tff(24770,plain,
% 17.22/12.05 (trans(s308, s309)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24769, 24766, 32])).
% 17.22/12.05 tff(24771,plain,
% 17.22/12.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s308, s309)) | node7(s308, s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s308, s309)) | node7(s308, s309))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24772,plain,
% 17.22/12.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s308, s309)) | node7(s308, s309))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24773,plain,
% 17.22/12.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s308, s309)) | node7(s308, s309)),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24772, 24771])).
% 17.22/12.05 tff(24774,plain,
% 17.22/12.05 (node7(s308, s309)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24773, 206, 24770])).
% 17.22/12.05 tff(24775,plain,
% 17.22/12.05 (((~![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(s308, c_c1) | node1(s308) | node2(s308) | node3(s308) | node4(s308) | node5(s308) | node6(s308, s309) | (~node7(s308, s309)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s308, c_c1) | node1(s308) | node2(s308) | node3(s308) | node4(s308) | node5(s308) | node6(s308, s309) | (~node7(s308, s309)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24776,plain,
% 17.22/12.05 ((~![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(s308, c_c1) | node1(s308) | node2(s308) | node3(s308) | node4(s308) | node5(s308) | node6(s308, s309) | (~node7(s308, s309)))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24777,plain,
% 17.22/12.05 ((~![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(s308, c_c1) | node1(s308) | node2(s308) | node3(s308) | node4(s308) | node5(s308) | node6(s308, s309) | (~node7(s308, s309))),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24776, 24775])).
% 17.22/12.05 tff(24778,plain,
% 17.22/12.05 (m_main_v_state1(s308, c_c1) | node1(s308) | node2(s308) | node3(s308) | node4(s308) | node5(s308) | node6(s308, s309)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24777, 820, 24774])).
% 17.22/12.05 tff(24779,plain,
% 17.22/12.05 (node6(s308, s309)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24778, 24763, 24727, 24723, 24719, 24715, 24698])).
% 17.22/12.05 tff(24780,plain,
% 17.22/12.05 (((~![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(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24781,plain,
% 17.22/12.05 (((~node6(s308, s309)) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1)) <=> ((~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24782,plain,
% 17.22/12.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s308, s309)) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, 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(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309))))),
% 17.22/12.05 inference(monotonicity,[status(thm)],[24781])).
% 17.22/12.05 tff(24783,plain,
% 17.22/12.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s308, s309)) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, 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(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309)))),
% 17.22/12.05 inference(transitivity,[status(thm)],[24782, 24780])).
% 17.22/12.05 tff(24784,plain,
% 17.22/12.05 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s308, s309)) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24785,plain,
% 17.22/12.05 ((~![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(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309))),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24784, 24783])).
% 17.22/12.05 tff(24786,plain,
% 17.22/12.05 (m_main_v_state1(s309, c_t1)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24785, 856, 24690, 24779])).
% 17.22/12.05 tff(24787,plain,
% 17.22/12.05 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s308, c_t2)) | (~m_main_v_state2(s308, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s308, c_t2)) | (~m_main_v_state2(s308, c_c2)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24788,plain,
% 17.22/12.05 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s308, c_t2)) | (~m_main_v_state2(s308, c_c2)))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24789,plain,
% 17.22/12.05 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s308, c_t2)) | (~m_main_v_state2(s308, c_c2))),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24788, 24787])).
% 17.22/12.05 tff(24790,plain,
% 17.22/12.05 (~m_main_v_state2(s308, c_t2)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24789, 260, 24755])).
% 17.22/12.05 tff(24791,plain,
% 17.22/12.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s308, c_t2) | (~node12(s308)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s308, c_t2) | (~node12(s308)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24792,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s308, c_t2) | (~node12(s308)))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24793,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s308, c_t2) | (~node12(s308))),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24792, 24791])).
% 17.22/12.05 tff(24794,plain,
% 17.22/12.05 (~node12(s308)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24793, 633, 24790])).
% 17.22/12.05 tff(24795,plain,
% 17.22/12.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s308, c_n1) | (~node11(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s308, c_n1) | (~node11(s308)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24796,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s308, c_n1) | (~node11(s308)))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24797,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s308, c_n1) | (~node11(s308))),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24796, 24795])).
% 17.22/12.05 tff(24798,plain,
% 17.22/12.05 (~node11(s308)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24797, 238, 24694])).
% 17.22/12.05 tff(24799,plain,
% 17.22/12.05 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s308, c_c1) | (~node10(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s308, c_c1) | (~node10(s308)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24800,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s308, c_c1) | (~node10(s308)))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24801,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s308, c_c1) | (~node10(s308))),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24800, 24799])).
% 17.22/12.05 tff(24802,plain,
% 17.22/12.05 (~node10(s308)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24801, 675, 24727])).
% 17.22/12.05 tff(24803,plain,
% 17.22/12.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s308, c_n1) | (~node9(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s308, c_n1) | (~node9(s308)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24804,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s308, c_n1) | (~node9(s308)))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24805,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s308, c_n1) | (~node9(s308))),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24804, 24803])).
% 17.22/12.05 tff(24806,plain,
% 17.22/12.05 (~node9(s308)),
% 17.22/12.05 inference(unit_resolution,[status(thm)],[24805, 686, 24694])).
% 17.22/12.05 tff(24807,plain,
% 17.22/12.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s308, c_n2) | (~node8(s308)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s308, c_n2) | (~node8(s308)))),
% 17.22/12.05 inference(rewrite,[status(thm)],[])).
% 17.22/12.05 tff(24808,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s308, c_n2) | (~node8(s308)))),
% 17.22/12.05 inference(quant_inst,[status(thm)],[])).
% 17.22/12.05 tff(24809,plain,
% 17.22/12.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s308, c_n2) | (~node8(s308))),
% 17.22/12.05 inference(modus_ponens,[status(thm)],[24808, 24807])).
% 17.22/12.05 tff(24810,plain,
% 17.22/12.05 (~node8(s308)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24809, 271, 24759])).
% 17.25/12.05 tff(24811,plain,
% 17.25/12.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s308, s309)) | node14(s308, s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s308, s309)) | node14(s308, s309))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24812,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s308, s309)) | node14(s308, s309))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24813,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s308, s309)) | node14(s308, s309)),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24812, 24811])).
% 17.25/12.05 tff(24814,plain,
% 17.25/12.05 (node14(s308, s309)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24813, 46, 24770])).
% 17.25/12.05 tff(24815,plain,
% 17.25/12.05 (((~![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(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, 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(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2)))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24816,plain,
% 17.25/12.05 (((~m_main_v_state2(s308, c_c2)) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | m_main_v_state2(s309, c_n2)) <=> (m_main_v_state2(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2)))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24817,plain,
% 17.25/12.05 (((~![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(s308, c_c2)) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | m_main_v_state2(s309, 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(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2))))),
% 17.25/12.05 inference(monotonicity,[status(thm)],[24816])).
% 17.25/12.05 tff(24818,plain,
% 17.25/12.05 (((~![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(s308, c_c2)) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | m_main_v_state2(s309, 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(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2)))),
% 17.25/12.05 inference(transitivity,[status(thm)],[24817, 24815])).
% 17.25/12.05 tff(24819,plain,
% 17.25/12.05 ((~![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(s308, c_c2)) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | m_main_v_state2(s309, c_n2))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24820,plain,
% 17.25/12.05 ((~![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(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2))),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24819, 24818])).
% 17.25/12.05 tff(24821,plain,
% 17.25/12.05 (m_main_v_state2(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~m_main_v_state2(s308, c_c2))),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24820, 726, 24814])).
% 17.25/12.05 tff(24822,plain,
% 17.25/12.05 (m_main_v_state2(s309, c_n2)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24821, 24810, 24755, 24806, 24802, 24798, 24794])).
% 17.25/12.05 tff(24823,plain,
% 17.25/12.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_t2)))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24824,plain,
% 17.25/12.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_t2)))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24825,plain,
% 17.25/12.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_t2))),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24824, 24823])).
% 17.25/12.05 tff(24826,plain,
% 17.25/12.05 (~m_main_v_state2(s309, c_t2)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24825, 77, 24822])).
% 17.25/12.05 tff(24827,plain,
% 17.25/12.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s309, c_t2) | (~node15(s309)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s309, c_t2) | (~node15(s309)))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24828,plain,
% 17.25/12.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s309, c_t2) | (~node15(s309)))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24829,plain,
% 17.25/12.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s309, c_t2) | (~node15(s309))),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24828, 24827])).
% 17.25/12.05 tff(24830,plain,
% 17.25/12.05 (~node15(s309)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24829, 103, 24826])).
% 17.25/12.05 tff(24831,plain,
% 17.25/12.05 (succ(s309, s310) <=> succ(s309, s310)),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24832,axiom,(succ(s309, s310)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound310')).
% 17.25/12.05 tff(24833,plain,
% 17.25/12.05 (succ(s309, s310)),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24832, 24831])).
% 17.25/12.05 tff(24834,plain,
% 17.25/12.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s309, s310)) | trans(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s309, s310)) | trans(s309, s310))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24835,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s309, s310)) | trans(s309, s310))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24836,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s309, s310)) | trans(s309, s310)),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24835, 24834])).
% 17.25/12.05 tff(24837,plain,
% 17.25/12.05 (trans(s309, s310)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24836, 24833, 32])).
% 17.25/12.05 tff(24838,plain,
% 17.25/12.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s309, s310)) | node18(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s309, s310)) | node18(s309, s310))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24839,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s309, s310)) | node18(s309, s310))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24840,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s309, s310)) | node18(s309, s310)),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24839, 24838])).
% 17.25/12.05 tff(24841,plain,
% 17.25/12.05 (node18(s309, s310)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24840, 125, 24837])).
% 17.25/12.05 tff(24842,plain,
% 17.25/12.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24843,plain,
% 17.25/12.05 (((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node15(s309) | (~node18(s309, s310)) | m_main_v_turn(s310, c_1)) <=> (node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24844,plain,
% 17.25/12.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node15(s309) | (~node18(s309, s310)) | m_main_v_turn(s310, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1)))),
% 17.25/12.05 inference(monotonicity,[status(thm)],[24843])).
% 17.25/12.05 tff(24845,plain,
% 17.25/12.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node15(s309) | (~node18(s309, s310)) | m_main_v_turn(s310, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1))),
% 17.25/12.05 inference(transitivity,[status(thm)],[24844, 24842])).
% 17.25/12.05 tff(24846,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node15(s309) | (~node18(s309, s310)) | m_main_v_turn(s310, c_1))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24847,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1)),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24846, 24845])).
% 17.25/12.05 tff(24848,plain,
% 17.25/12.05 (node15(s309) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24847, 992, 24841])).
% 17.25/12.05 tff(24849,plain,
% 17.25/12.05 (m_main_v_turn(s310, c_1)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24848, 24830, 24822, 24786])).
% 17.25/12.05 tff(24850,plain,
% 17.25/12.05 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s310, c_1)) | (~m_main_v_turn(s310, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s310, c_1)) | (~m_main_v_turn(s310, c_2)))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24851,plain,
% 17.25/12.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s310, c_1)) | (~m_main_v_turn(s310, c_2)))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24852,plain,
% 17.25/12.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s310, c_1)) | (~m_main_v_turn(s310, c_2))),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24851, 24850])).
% 17.25/12.05 tff(24853,plain,
% 17.25/12.05 (~m_main_v_turn(s310, c_2)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24852, 156, 24849])).
% 17.25/12.05 tff(24854,plain,
% 17.25/12.05 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s310, c_2) | (~node12(s310)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s310, c_2) | (~node12(s310)))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24855,plain,
% 17.25/12.05 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s310, c_2) | (~node12(s310)))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24856,plain,
% 17.25/12.05 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s310, c_2) | (~node12(s310))),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24855, 24854])).
% 17.25/12.05 tff(24857,plain,
% 17.25/12.05 (~node12(s310)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24856, 184, 24853])).
% 17.25/12.05 tff(24858,plain,
% 17.25/12.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s309, s310)) | node14(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s309, s310)) | node14(s309, s310))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24859,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s309, s310)) | node14(s309, s310))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24860,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s309, s310)) | node14(s309, s310)),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24859, 24858])).
% 17.25/12.05 tff(24861,plain,
% 17.25/12.05 (node14(s309, s310)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24860, 46, 24837])).
% 17.25/12.05 tff(24862,plain,
% 17.25/12.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | (~node14(s309, s310)) | m_main_v_state2(s310, 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(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | (~node14(s309, s310)) | m_main_v_state2(s310, c_t2))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24863,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | (~node14(s309, s310)) | m_main_v_state2(s310, c_t2))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24864,plain,
% 17.25/12.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | (~node14(s309, s310)) | m_main_v_state2(s310, c_t2)),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24863, 24862])).
% 17.25/12.05 tff(24865,plain,
% 17.25/12.05 ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state2(s310, c_t2)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24864, 922, 24861])).
% 17.25/12.05 tff(24866,plain,
% 17.25/12.05 (m_main_v_state2(s310, c_t2)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24865, 24786, 24822])).
% 17.25/12.05 tff(24867,plain,
% 17.25/12.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s310, c_n2)) | (~m_main_v_state2(s310, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s310, c_n2)) | (~m_main_v_state2(s310, c_t2)))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24868,plain,
% 17.25/12.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s310, c_n2)) | (~m_main_v_state2(s310, c_t2)))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24869,plain,
% 17.25/12.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s310, c_n2)) | (~m_main_v_state2(s310, c_t2))),
% 17.25/12.05 inference(modus_ponens,[status(thm)],[24868, 24867])).
% 17.25/12.05 tff(24870,plain,
% 17.25/12.05 (~m_main_v_state2(s310, c_n2)),
% 17.25/12.05 inference(unit_resolution,[status(thm)],[24869, 77, 24866])).
% 17.25/12.05 tff(24871,plain,
% 17.25/12.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s310, c_n2) | (~node8(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s310, c_n2) | (~node8(s310)))),
% 17.25/12.05 inference(rewrite,[status(thm)],[])).
% 17.25/12.05 tff(24872,plain,
% 17.25/12.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s310, c_n2) | (~node8(s310)))),
% 17.25/12.05 inference(quant_inst,[status(thm)],[])).
% 17.25/12.05 tff(24873,plain,
% 17.25/12.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s310, c_n2) | (~node8(s310))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24872, 24871])).
% 17.25/12.06 tff(24874,plain,
% 17.25/12.06 (~node8(s310)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24873, 271, 24870])).
% 17.25/12.06 tff(24875,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s310, c_n2) | (~node9(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s310, c_n2) | (~node9(s310)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24876,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s310, c_n2) | (~node9(s310)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24877,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s310, c_n2) | (~node9(s310))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24876, 24875])).
% 17.25/12.06 tff(24878,plain,
% 17.25/12.06 (~node9(s310)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24877, 88, 24870])).
% 17.25/12.06 tff(24879,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s310, c_n2) | (~node10(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s310, c_n2) | (~node10(s310)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24880,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s310, c_n2) | (~node10(s310)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24881,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s310, c_n2) | (~node10(s310))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24880, 24879])).
% 17.25/12.06 tff(24882,plain,
% 17.25/12.06 (~node10(s310)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24881, 249, 24870])).
% 17.25/12.06 tff(24883,plain,
% 17.25/12.06 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s310, c_t2)) | (~m_main_v_state2(s310, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s310, c_t2)) | (~m_main_v_state2(s310, c_c2)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24884,plain,
% 17.25/12.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s310, c_t2)) | (~m_main_v_state2(s310, c_c2)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24885,plain,
% 17.25/12.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s310, c_t2)) | (~m_main_v_state2(s310, c_c2))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24884, 24883])).
% 17.25/12.06 tff(24886,plain,
% 17.25/12.06 (~m_main_v_state2(s310, c_c2)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24885, 260, 24866])).
% 17.25/12.06 tff(24887,plain,
% 17.25/12.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_c2)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24888,plain,
% 17.25/12.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_c2)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24889,plain,
% 17.25/12.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_c2))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24888, 24887])).
% 17.25/12.06 tff(24890,plain,
% 17.25/12.06 (~m_main_v_state2(s309, c_c2)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24889, 697, 24822])).
% 17.25/12.06 tff(24891,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s309, c_c2) | (~node3(s309)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s309, c_c2) | (~node3(s309)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24892,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s309, c_c2) | (~node3(s309)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24893,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s309, c_c2) | (~node3(s309))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 17.25/12.06 tff(24894,plain,
% 17.25/12.06 (~node3(s309)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24893, 399, 24890])).
% 17.25/12.06 tff(24895,plain,
% 17.25/12.06 (((~![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(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24896,plain,
% 17.25/12.06 (((~node6(s308, s309)) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1))) <=> (m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24897,plain,
% 17.25/12.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s308, s309)) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, 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(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309))))),
% 17.25/12.06 inference(monotonicity,[status(thm)],[24896])).
% 17.25/12.06 tff(24898,plain,
% 17.25/12.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s308, s309)) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, 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(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309)))),
% 17.25/12.06 inference(transitivity,[status(thm)],[24897, 24895])).
% 17.25/12.06 tff(24899,plain,
% 17.25/12.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s308, s309)) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24900,plain,
% 17.25/12.06 ((~![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(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24899, 24898])).
% 17.25/12.06 tff(24901,plain,
% 17.25/12.06 (~m_main_v_state1(s309, c_n1)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24900, 835, 24694, 24779])).
% 17.25/12.06 tff(24902,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s309, c_n1) | (~node2(s309)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s309, c_n1) | (~node2(s309)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24903,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s309, c_n1) | (~node2(s309)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24904,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s309, c_n1) | (~node2(s309))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24903, 24902])).
% 17.25/12.06 tff(24905,plain,
% 17.25/12.06 (~node2(s309)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24904, 787, 24901])).
% 17.25/12.06 tff(24906,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s309, c_t2) | (~node1(s309)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s309, c_t2) | (~node1(s309)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24907,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s309, c_t2) | (~node1(s309)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24908,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s309, c_t2) | (~node1(s309))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24907, 24906])).
% 17.25/12.06 tff(24909,plain,
% 17.25/12.06 (~node1(s309)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24908, 195, 24826])).
% 17.25/12.06 tff(24910,plain,
% 17.25/12.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s309, s310)) | node7(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s309, s310)) | node7(s309, s310))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24911,plain,
% 17.25/12.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s309, s310)) | node7(s309, s310))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24912,plain,
% 17.25/12.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s309, s310)) | node7(s309, s310)),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24911, 24910])).
% 17.25/12.06 tff(24913,plain,
% 17.25/12.06 (node7(s309, s310)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24912, 206, 24837])).
% 17.25/12.06 tff(24914,plain,
% 17.25/12.06 (((~![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(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24915,plain,
% 17.25/12.06 (((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)) | m_main_v_state1(s310, c_c1)) <=> ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24916,plain,
% 17.25/12.06 (((~![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(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)) | m_main_v_state1(s310, 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(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310))))),
% 17.25/12.06 inference(monotonicity,[status(thm)],[24915])).
% 17.25/12.06 tff(24917,plain,
% 17.25/12.06 (((~![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(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)) | m_main_v_state1(s310, 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(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)))),
% 17.25/12.06 inference(transitivity,[status(thm)],[24916, 24914])).
% 17.25/12.06 tff(24918,plain,
% 17.25/12.06 ((~![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(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)) | m_main_v_state1(s310, c_c1))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24919,plain,
% 17.25/12.06 ((~![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(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24918, 24917])).
% 17.25/12.06 tff(24920,plain,
% 17.25/12.06 ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24919, 892, 24913])).
% 17.25/12.06 tff(24921,plain,
% 17.25/12.06 (m_main_v_state1(s310, c_c1)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24920, 24909, 24822, 24786, 24905, 24894])).
% 17.25/12.06 tff(24922,plain,
% 17.25/12.06 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s310, c_n1)) | (~m_main_v_state1(s310, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s310, c_n1)) | (~m_main_v_state1(s310, c_c1)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24923,plain,
% 17.25/12.06 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s310, c_n1)) | (~m_main_v_state1(s310, c_c1)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24924,plain,
% 17.25/12.06 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s310, c_n1)) | (~m_main_v_state1(s310, c_c1))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24923, 24922])).
% 17.25/12.06 tff(24925,plain,
% 17.25/12.06 (~m_main_v_state1(s310, c_n1)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24924, 454, 24921])).
% 17.25/12.06 tff(24926,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s310, c_n1) | (~node11(s310)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s310, c_n1) | (~node11(s310)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24927,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s310, c_n1) | (~node11(s310)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24928,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s310, c_n1) | (~node11(s310))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24927, 24926])).
% 17.25/12.06 tff(24929,plain,
% 17.25/12.06 (~node11(s310)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24928, 238, 24925])).
% 17.25/12.06 tff(24930,plain,
% 17.25/12.06 (succ(s310, s311) <=> succ(s310, s311)),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24931,axiom,(succ(s310, s311)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound311')).
% 17.25/12.06 tff(24932,plain,
% 17.25/12.06 (succ(s310, s311)),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24931, 24930])).
% 17.25/12.06 tff(24933,plain,
% 17.25/12.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s310, s311)) | trans(s310, s311))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s310, s311)) | trans(s310, s311))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24934,plain,
% 17.25/12.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s310, s311)) | trans(s310, s311))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24935,plain,
% 17.25/12.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s310, s311)) | trans(s310, s311)),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24934, 24933])).
% 17.25/12.06 tff(24936,plain,
% 17.25/12.06 (trans(s310, s311)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24935, 24932, 32])).
% 17.25/12.06 tff(24937,plain,
% 17.25/12.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s310, s311)) | node14(s310, s311))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s310, s311)) | node14(s310, s311))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24938,plain,
% 17.25/12.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s310, s311)) | node14(s310, s311))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24939,plain,
% 17.25/12.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s310, s311)) | node14(s310, s311)),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24938, 24937])).
% 17.25/12.06 tff(24940,plain,
% 17.25/12.06 (node14(s310, s311)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24939, 46, 24936])).
% 17.25/12.06 tff(24941,plain,
% 17.25/12.06 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s310, c_c2) | node9(s310) | node8(s310) | node10(s310) | node11(s310) | node12(s310) | node13(s310, s311) | (~node14(s310, s311)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s310, c_c2) | node9(s310) | node8(s310) | node10(s310) | node11(s310) | node12(s310) | node13(s310, s311) | (~node14(s310, s311)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24942,plain,
% 17.25/12.06 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s310, c_c2) | node9(s310) | node8(s310) | node10(s310) | node11(s310) | node12(s310) | node13(s310, s311) | (~node14(s310, s311)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24943,plain,
% 17.25/12.06 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s310, c_c2) | node9(s310) | node8(s310) | node10(s310) | node11(s310) | node12(s310) | node13(s310, s311) | (~node14(s310, s311))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24942, 24941])).
% 17.25/12.06 tff(24944,plain,
% 17.25/12.06 (m_main_v_state2(s310, c_c2) | node9(s310) | node8(s310) | node10(s310) | node11(s310) | node12(s310) | node13(s310, s311)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24943, 296, 24940])).
% 17.25/12.06 tff(24945,plain,
% 17.25/12.06 (node13(s310, s311)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24944, 24929, 24886, 24882, 24878, 24874, 24857])).
% 17.25/12.06 tff(24946,plain,
% 17.25/12.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24947,plain,
% 17.25/12.06 (((~node13(s310, s311)) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2))) <=> (m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24948,plain,
% 17.25/12.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s310, s311)) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, 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(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311))))),
% 17.25/12.06 inference(monotonicity,[status(thm)],[24947])).
% 17.25/12.06 tff(24949,plain,
% 17.25/12.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s310, s311)) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, 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(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311)))),
% 17.25/12.06 inference(transitivity,[status(thm)],[24948, 24946])).
% 17.25/12.06 tff(24950,plain,
% 17.25/12.06 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s310, s311)) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24951,plain,
% 17.25/12.06 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24950, 24949])).
% 17.25/12.06 tff(24952,plain,
% 17.25/12.06 (~m_main_v_state2(s311, c_n2)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24951, 311, 24870, 24945])).
% 17.25/12.06 tff(24953,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s311, c_n2) | (~node9(s311)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s311, c_n2) | (~node9(s311)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24954,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s311, c_n2) | (~node9(s311)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24955,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s311, c_n2) | (~node9(s311))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24954, 24953])).
% 17.25/12.06 tff(24956,plain,
% 17.25/12.06 (~node9(s311)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24955, 88, 24952])).
% 17.25/12.06 tff(24957,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s311, c_n2) | (~node10(s311)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s311, c_n2) | (~node10(s311)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24958,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s311, c_n2) | (~node10(s311)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24959,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s311, c_n2) | (~node10(s311))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24958, 24957])).
% 17.25/12.06 tff(24960,plain,
% 17.25/12.06 (~node10(s311)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24959, 249, 24952])).
% 17.25/12.06 tff(24961,plain,
% 17.25/12.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24962,plain,
% 17.25/12.06 (((~node13(s310, s311)) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2)) <=> ((~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24963,plain,
% 17.25/12.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s310, s311)) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, 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(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311))))),
% 17.25/12.06 inference(monotonicity,[status(thm)],[24962])).
% 17.25/12.06 tff(24964,plain,
% 17.25/12.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s310, s311)) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, 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(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311)))),
% 17.25/12.06 inference(transitivity,[status(thm)],[24963, 24961])).
% 17.25/12.06 tff(24965,plain,
% 17.25/12.06 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s310, s311)) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24966,plain,
% 17.25/12.06 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24965, 24964])).
% 17.25/12.06 tff(24967,plain,
% 17.25/12.06 (m_main_v_state2(s311, c_t2)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24966, 518, 24866, 24945])).
% 17.25/12.06 tff(24968,plain,
% 17.25/12.06 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s310, c_t1)) | (~m_main_v_state1(s310, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s310, c_t1)) | (~m_main_v_state1(s310, c_c1)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24969,plain,
% 17.25/12.06 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s310, c_t1)) | (~m_main_v_state1(s310, c_c1)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24970,plain,
% 17.25/12.06 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s310, c_t1)) | (~m_main_v_state1(s310, c_c1))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24969, 24968])).
% 17.25/12.06 tff(24971,plain,
% 17.25/12.06 (~m_main_v_state1(s310, c_t1)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24970, 539, 24921])).
% 17.25/12.06 tff(24972,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s310, c_t1) | (~node5(s310)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s310, c_t1) | (~node5(s310)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24973,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s310, c_t1) | (~node5(s310)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24974,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s310, c_t1) | (~node5(s310))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24973, 24972])).
% 17.25/12.06 tff(24975,plain,
% 17.25/12.06 (~node5(s310)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24974, 550, 24971])).
% 17.25/12.06 tff(24976,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s310, c_n2) | (~node4(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s310, c_n2) | (~node4(s310)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24977,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s310, c_n2) | (~node4(s310)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24978,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s310, c_n2) | (~node4(s310))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24977, 24976])).
% 17.25/12.06 tff(24979,plain,
% 17.25/12.06 (~node4(s310)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24978, 388, 24870])).
% 17.25/12.06 tff(24980,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s310, c_c2) | (~node3(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s310, c_c2) | (~node3(s310)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24981,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s310, c_c2) | (~node3(s310)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24982,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s310, c_c2) | (~node3(s310))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24981, 24980])).
% 17.25/12.06 tff(24983,plain,
% 17.25/12.06 (~node3(s310)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24982, 399, 24886])).
% 17.25/12.06 tff(24984,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s310, c_n2) | (~node2(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s310, c_n2) | (~node2(s310)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24985,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s310, c_n2) | (~node2(s310)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24986,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s310, c_n2) | (~node2(s310))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24985, 24984])).
% 17.25/12.06 tff(24987,plain,
% 17.25/12.06 (~node2(s310)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24986, 410, 24870])).
% 17.25/12.06 tff(24988,plain,
% 17.25/12.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s310, c_n1) | (~node1(s310)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s310, c_n1) | (~node1(s310)))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24989,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s310, c_n1) | (~node1(s310)))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24990,plain,
% 17.25/12.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s310, c_n1) | (~node1(s310))),
% 17.25/12.06 inference(modus_ponens,[status(thm)],[24989, 24988])).
% 17.25/12.06 tff(24991,plain,
% 17.25/12.06 (~node1(s310)),
% 17.25/12.06 inference(unit_resolution,[status(thm)],[24990, 421, 24925])).
% 17.25/12.06 tff(24992,plain,
% 17.25/12.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s310, s311)) | node7(s310, s311))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s310, s311)) | node7(s310, s311))),
% 17.25/12.06 inference(rewrite,[status(thm)],[])).
% 17.25/12.06 tff(24993,plain,
% 17.25/12.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s310, s311)) | node7(s310, s311))),
% 17.25/12.06 inference(quant_inst,[status(thm)],[])).
% 17.25/12.06 tff(24994,plain,
% 17.25/12.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s310, s311)) | node7(s310, s311)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[24993, 24992])).
% 17.25/12.07 tff(24995,plain,
% 17.25/12.07 (node7(s310, s311)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[24994, 206, 24936])).
% 17.25/12.07 tff(24996,plain,
% 17.25/12.07 (((~![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(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(24997,plain,
% 17.25/12.07 (((~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)) | m_main_v_state1(s311, c_n1)) <=> (m_main_v_state1(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(24998,plain,
% 17.25/12.07 (((~![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(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)) | m_main_v_state1(s311, 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(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311))))),
% 17.25/12.07 inference(monotonicity,[status(thm)],[24997])).
% 17.25/12.07 tff(24999,plain,
% 17.25/12.07 (((~![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(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)) | m_main_v_state1(s311, 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(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)))),
% 17.25/12.07 inference(transitivity,[status(thm)],[24998, 24996])).
% 17.25/12.07 tff(25000,plain,
% 17.25/12.07 ((~![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(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)) | m_main_v_state1(s311, c_n1))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25001,plain,
% 17.25/12.07 ((~![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(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25000, 24999])).
% 17.25/12.07 tff(25002,plain,
% 17.25/12.07 (m_main_v_state1(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25001, 584, 24995])).
% 17.25/12.07 tff(25003,plain,
% 17.25/12.07 (m_main_v_state1(s311, c_n1)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25002, 24991, 24921, 24987, 24983, 24979, 24975])).
% 17.25/12.07 tff(25004,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s311, c_n2) | (~node8(s311)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s311, c_n2) | (~node8(s311)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25005,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s311, c_n2) | (~node8(s311)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25006,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s311, c_n2) | (~node8(s311))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25005, 25004])).
% 17.25/12.07 tff(25007,plain,
% 17.25/12.07 (~node8(s311)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25006, 271, 24952])).
% 17.25/12.07 tff(25008,plain,
% 17.25/12.07 (succ(s311, s312) <=> succ(s311, s312)),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25009,axiom,(succ(s311, s312)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound312')).
% 17.25/12.07 tff(25010,plain,
% 17.25/12.07 (succ(s311, s312)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25009, 25008])).
% 17.25/12.07 tff(25011,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s311, s312)) | trans(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s311, s312)) | trans(s311, s312))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25012,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s311, s312)) | trans(s311, s312))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25013,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s311, s312)) | trans(s311, s312)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25012, 25011])).
% 17.25/12.07 tff(25014,plain,
% 17.25/12.07 (trans(s311, s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25013, 25010, 32])).
% 17.25/12.07 tff(25015,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s311, s312)) | node14(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s311, s312)) | node14(s311, s312))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25016,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s311, s312)) | node14(s311, s312))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25017,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s311, s312)) | node14(s311, s312)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25016, 25015])).
% 17.25/12.07 tff(25018,plain,
% 17.25/12.07 (node14(s311, s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25017, 46, 25014])).
% 17.25/12.07 tff(25019,plain,
% 17.25/12.07 (((~![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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | node9(s311) | node8(s311) | node10(s311) | (~node14(s311, s312)) | m_main_v_state2(s312, 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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | node9(s311) | node8(s311) | node10(s311) | (~node14(s311, s312)) | m_main_v_state2(s312, c_c2))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25020,plain,
% 17.25/12.07 ((~![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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | node9(s311) | node8(s311) | node10(s311) | (~node14(s311, s312)) | m_main_v_state2(s312, c_c2))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25021,plain,
% 17.25/12.07 ((~![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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | node9(s311) | node8(s311) | node10(s311) | (~node14(s311, s312)) | m_main_v_state2(s312, c_c2)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25020, 25019])).
% 17.25/12.07 tff(25022,plain,
% 17.25/12.07 ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | node9(s311) | node8(s311) | node10(s311) | m_main_v_state2(s312, c_c2)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25021, 617, 25018])).
% 17.25/12.07 tff(25023,plain,
% 17.25/12.07 (m_main_v_state2(s312, c_c2)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25022, 25007, 25003, 24967, 24960, 24956])).
% 17.25/12.07 tff(25024,plain,
% 17.25/12.07 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s312, c_t2)) | (~m_main_v_state2(s312, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s312, c_t2)) | (~m_main_v_state2(s312, c_c2)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25025,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s312, c_t2)) | (~m_main_v_state2(s312, c_c2)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25026,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s312, c_t2)) | (~m_main_v_state2(s312, c_c2))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25025, 25024])).
% 17.25/12.07 tff(25027,plain,
% 17.25/12.07 (~m_main_v_state2(s312, c_t2)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25026, 260, 25023])).
% 17.25/12.07 tff(25028,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s312, c_t2) | (~node12(s312)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s312, c_t2) | (~node12(s312)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25029,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s312, c_t2) | (~node12(s312)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25030,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s312, c_t2) | (~node12(s312))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25029, 25028])).
% 17.25/12.07 tff(25031,plain,
% 17.25/12.07 (~node12(s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25030, 633, 25027])).
% 17.25/12.07 tff(25032,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s311, s312)) | node7(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s311, s312)) | node7(s311, s312))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25033,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s311, s312)) | node7(s311, s312))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25034,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s311, s312)) | node7(s311, s312)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25033, 25032])).
% 17.25/12.07 tff(25035,plain,
% 17.25/12.07 (node7(s311, s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25034, 206, 25014])).
% 17.25/12.07 tff(25036,plain,
% 17.25/12.07 (((~![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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node7(s311, s312)) | m_main_v_state1(s312, 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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node7(s311, s312)) | m_main_v_state1(s312, c_t1))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25037,plain,
% 17.25/12.07 ((~![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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node7(s311, s312)) | m_main_v_state1(s312, c_t1))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25038,plain,
% 17.25/12.07 ((~![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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node7(s311, s312)) | m_main_v_state1(s312, c_t1)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25037, 25036])).
% 17.25/12.07 tff(25039,plain,
% 17.25/12.07 ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | m_main_v_state1(s312, c_t1)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25038, 651, 25035])).
% 17.25/12.07 tff(25040,plain,
% 17.25/12.07 (m_main_v_state1(s312, c_t1)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25039, 24967, 25003])).
% 17.25/12.07 tff(25041,plain,
% 17.25/12.07 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s312, c_n1)) | (~m_main_v_state1(s312, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s312, c_n1)) | (~m_main_v_state1(s312, c_t1)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25042,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s312, c_n1)) | (~m_main_v_state1(s312, c_t1)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25043,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s312, c_n1)) | (~m_main_v_state1(s312, c_t1))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25042, 25041])).
% 17.25/12.07 tff(25044,plain,
% 17.25/12.07 (~m_main_v_state1(s312, c_n1)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25043, 10, 25040])).
% 17.25/12.07 tff(25045,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s312, c_n1) | (~node11(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s312, c_n1) | (~node11(s312)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25046,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s312, c_n1) | (~node11(s312)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25047,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s312, c_n1) | (~node11(s312))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25046, 25045])).
% 17.25/12.07 tff(25048,plain,
% 17.25/12.07 (~node11(s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25047, 238, 25044])).
% 17.25/12.07 tff(25049,plain,
% 17.25/12.07 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s312, c_t1)) | (~m_main_v_state1(s312, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s312, c_t1)) | (~m_main_v_state1(s312, c_c1)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25050,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s312, c_t1)) | (~m_main_v_state1(s312, c_c1)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25051,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s312, c_t1)) | (~m_main_v_state1(s312, c_c1))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25050, 25049])).
% 17.25/12.07 tff(25052,plain,
% 17.25/12.07 (~m_main_v_state1(s312, c_c1)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25051, 539, 25040])).
% 17.25/12.07 tff(25053,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s312, c_c1) | (~node10(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s312, c_c1) | (~node10(s312)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25054,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s312, c_c1) | (~node10(s312)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25055,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s312, c_c1) | (~node10(s312))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25054, 25053])).
% 17.25/12.07 tff(25056,plain,
% 17.25/12.07 (~node10(s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25055, 675, 25052])).
% 17.25/12.07 tff(25057,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s312, c_n1) | (~node9(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s312, c_n1) | (~node9(s312)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25058,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s312, c_n1) | (~node9(s312)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25059,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s312, c_n1) | (~node9(s312))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25058, 25057])).
% 17.25/12.07 tff(25060,plain,
% 17.25/12.07 (~node9(s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25059, 686, 25044])).
% 17.25/12.07 tff(25061,plain,
% 17.25/12.07 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s312, c_n2)) | (~m_main_v_state2(s312, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s312, c_n2)) | (~m_main_v_state2(s312, c_c2)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25062,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s312, c_n2)) | (~m_main_v_state2(s312, c_c2)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25063,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s312, c_n2)) | (~m_main_v_state2(s312, c_c2))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25062, 25061])).
% 17.25/12.07 tff(25064,plain,
% 17.25/12.07 (~m_main_v_state2(s312, c_n2)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25063, 697, 25023])).
% 17.25/12.07 tff(25065,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s312, c_n2) | (~node8(s312)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s312, c_n2) | (~node8(s312)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25066,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s312, c_n2) | (~node8(s312)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25067,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s312, c_n2) | (~node8(s312))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25066, 25065])).
% 17.25/12.07 tff(25068,plain,
% 17.25/12.07 (~node8(s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25067, 271, 25064])).
% 17.25/12.07 tff(25069,plain,
% 17.25/12.07 (succ(s312, s313) <=> succ(s312, s313)),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25070,axiom,(succ(s312, s313)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound313')).
% 17.25/12.07 tff(25071,plain,
% 17.25/12.07 (succ(s312, s313)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25070, 25069])).
% 17.25/12.07 tff(25072,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s312, s313)) | trans(s312, s313))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s312, s313)) | trans(s312, s313))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25073,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s312, s313)) | trans(s312, s313))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25074,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s312, s313)) | trans(s312, s313)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25073, 25072])).
% 17.25/12.07 tff(25075,plain,
% 17.25/12.07 (trans(s312, s313)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25074, 25071, 32])).
% 17.25/12.07 tff(25076,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s312, s313)) | node14(s312, s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s312, s313)) | node14(s312, s313))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25077,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s312, s313)) | node14(s312, s313))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25078,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s312, s313)) | node14(s312, s313)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25077, 25076])).
% 17.25/12.07 tff(25079,plain,
% 17.25/12.07 (node14(s312, s313)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25078, 46, 25075])).
% 17.25/12.07 tff(25080,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, 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(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25081,plain,
% 17.25/12.07 (((~m_main_v_state2(s312, c_c2)) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | m_main_v_state2(s313, c_n2)) <=> (m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25082,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s312, c_c2)) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | m_main_v_state2(s313, 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(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2))))),
% 17.25/12.07 inference(monotonicity,[status(thm)],[25081])).
% 17.25/12.07 tff(25083,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s312, c_c2)) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | m_main_v_state2(s313, 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(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2)))),
% 17.25/12.07 inference(transitivity,[status(thm)],[25082, 25080])).
% 17.25/12.07 tff(25084,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s312, c_c2)) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | m_main_v_state2(s313, c_n2))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25085,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25084, 25083])).
% 17.25/12.07 tff(25086,plain,
% 17.25/12.07 (m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~m_main_v_state2(s312, c_c2))),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25085, 726, 25079])).
% 17.25/12.07 tff(25087,plain,
% 17.25/12.07 (m_main_v_state2(s313, c_n2)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25086, 25068, 25023, 25060, 25056, 25048, 25031])).
% 17.25/12.07 tff(25088,plain,
% 17.25/12.07 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_c2)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25089,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_c2)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25090,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_c2))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25089, 25088])).
% 17.25/12.07 tff(25091,plain,
% 17.25/12.07 (~m_main_v_state2(s313, c_c2)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25090, 697, 25087])).
% 17.25/12.07 tff(25092,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s313, c_c2) | (~node3(s313)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s313, c_c2) | (~node3(s313)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25093,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s313, c_c2) | (~node3(s313)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25094,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s313, c_c2) | (~node3(s313))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25093, 25092])).
% 17.25/12.07 tff(25095,plain,
% 17.25/12.07 (~node3(s313)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25094, 399, 25091])).
% 17.25/12.07 tff(25096,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s312, c_n1) | (~node1(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s312, c_n1) | (~node1(s312)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25097,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s312, c_n1) | (~node1(s312)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25098,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s312, c_n1) | (~node1(s312))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25097, 25096])).
% 17.25/12.07 tff(25099,plain,
% 17.25/12.07 (~node1(s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25098, 421, 25044])).
% 17.25/12.07 tff(25100,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s311, s312)) | node18(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s311, s312)) | node18(s311, s312))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25101,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s311, s312)) | node18(s311, s312))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25102,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s311, s312)) | node18(s311, s312)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25101, 25100])).
% 17.25/12.07 tff(25103,plain,
% 17.25/12.07 (node18(s311, s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25102, 125, 25014])).
% 17.25/12.07 tff(25104,plain,
% 17.25/12.07 (((~![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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node18(s311, s312)) | m_main_v_turn(s312, 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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node18(s311, s312)) | m_main_v_turn(s312, c_2))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25105,plain,
% 17.25/12.07 ((~![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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node18(s311, s312)) | m_main_v_turn(s312, c_2))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25106,plain,
% 17.25/12.07 ((~![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(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node18(s311, s312)) | m_main_v_turn(s312, c_2)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25105, 25104])).
% 17.25/12.07 tff(25107,plain,
% 17.25/12.07 ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | m_main_v_turn(s312, c_2)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25106, 760, 25103])).
% 17.25/12.07 tff(25108,plain,
% 17.25/12.07 (m_main_v_turn(s312, c_2)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25107, 24967, 25003])).
% 17.25/12.07 tff(25109,plain,
% 17.25/12.07 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s312, c_1)) | (~m_main_v_turn(s312, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s312, c_1)) | (~m_main_v_turn(s312, c_2)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25110,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s312, c_1)) | (~m_main_v_turn(s312, c_2)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25111,plain,
% 17.25/12.07 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s312, c_1)) | (~m_main_v_turn(s312, c_2))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25110, 25109])).
% 17.25/12.07 tff(25112,plain,
% 17.25/12.07 (~m_main_v_turn(s312, c_1)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25111, 156, 25108])).
% 17.25/12.07 tff(25113,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s312, c_1) | (~node5(s312)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s312, c_1) | (~node5(s312)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25114,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s312, c_1) | (~node5(s312)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25115,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s312, c_1) | (~node5(s312))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25114, 25113])).
% 17.25/12.07 tff(25116,plain,
% 17.25/12.07 (~node5(s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25115, 776, 25112])).
% 17.25/12.07 tff(25117,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s312, c_n1) | (~node2(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s312, c_n1) | (~node2(s312)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25118,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s312, c_n1) | (~node2(s312)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25119,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s312, c_n1) | (~node2(s312))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25118, 25117])).
% 17.25/12.07 tff(25120,plain,
% 17.25/12.07 (~node2(s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25119, 787, 25044])).
% 17.25/12.07 tff(25121,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s312, c_n1) | (~node3(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s312, c_n1) | (~node3(s312)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25122,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s312, c_n1) | (~node3(s312)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25123,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s312, c_n1) | (~node3(s312))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25122, 25121])).
% 17.25/12.07 tff(25124,plain,
% 17.25/12.07 (~node3(s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25123, 798, 25044])).
% 17.25/12.07 tff(25125,plain,
% 17.25/12.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s312, c_n2) | (~node4(s312)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s312, c_n2) | (~node4(s312)))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25126,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s312, c_n2) | (~node4(s312)))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25127,plain,
% 17.25/12.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s312, c_n2) | (~node4(s312))),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25126, 25125])).
% 17.25/12.07 tff(25128,plain,
% 17.25/12.07 (~node4(s312)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25127, 388, 25064])).
% 17.25/12.07 tff(25129,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s312, s313)) | node7(s312, s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s312, s313)) | node7(s312, s313))),
% 17.25/12.07 inference(rewrite,[status(thm)],[])).
% 17.25/12.07 tff(25130,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s312, s313)) | node7(s312, s313))),
% 17.25/12.07 inference(quant_inst,[status(thm)],[])).
% 17.25/12.07 tff(25131,plain,
% 17.25/12.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s312, s313)) | node7(s312, s313)),
% 17.25/12.07 inference(modus_ponens,[status(thm)],[25130, 25129])).
% 17.25/12.07 tff(25132,plain,
% 17.25/12.07 (node7(s312, s313)),
% 17.25/12.07 inference(unit_resolution,[status(thm)],[25131, 206, 25075])).
% 17.25/12.07 tff(25133,plain,
% 17.25/12.07 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s312, c_c1) | node1(s312) | node2(s312) | node3(s312) | node4(s312) | node5(s312) | node6(s312, s313) | (~node7(s312, s313)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s312, c_c1) | node1(s312) | node2(s312) | node3(s312) | node4(s312) | node5(s312) | node6(s312, s313) | (~node7(s312, s313)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25134,plain,
% 17.25/12.08 ((~![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(s312, c_c1) | node1(s312) | node2(s312) | node3(s312) | node4(s312) | node5(s312) | node6(s312, s313) | (~node7(s312, s313)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25135,plain,
% 17.25/12.08 ((~![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(s312, c_c1) | node1(s312) | node2(s312) | node3(s312) | node4(s312) | node5(s312) | node6(s312, s313) | (~node7(s312, s313))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25134, 25133])).
% 17.25/12.08 tff(25136,plain,
% 17.25/12.08 (m_main_v_state1(s312, c_c1) | node1(s312) | node2(s312) | node3(s312) | node4(s312) | node5(s312) | node6(s312, s313)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25135, 820, 25132])).
% 17.25/12.08 tff(25137,plain,
% 17.25/12.08 (node6(s312, s313)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25136, 25128, 25052, 25124, 25120, 25116, 25099])).
% 17.25/12.08 tff(25138,plain,
% 17.25/12.08 (((~![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(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25139,plain,
% 17.25/12.08 (((~node6(s312, s313)) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1))) <=> (m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25140,plain,
% 17.25/12.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s312, s313)) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, 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(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313))))),
% 17.25/12.08 inference(monotonicity,[status(thm)],[25139])).
% 17.25/12.08 tff(25141,plain,
% 17.25/12.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s312, s313)) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, 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(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313)))),
% 17.25/12.08 inference(transitivity,[status(thm)],[25140, 25138])).
% 17.25/12.08 tff(25142,plain,
% 17.25/12.08 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s312, s313)) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25143,plain,
% 17.25/12.08 ((~![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(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25142, 25141])).
% 17.25/12.08 tff(25144,plain,
% 17.25/12.08 (~m_main_v_state1(s313, c_n1)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25143, 835, 25044, 25137])).
% 17.25/12.08 tff(25145,plain,
% 17.25/12.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s313, c_n1) | (~node2(s313)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s313, c_n1) | (~node2(s313)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25146,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s313, c_n1) | (~node2(s313)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25147,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s313, c_n1) | (~node2(s313))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25146, 25145])).
% 17.25/12.08 tff(25148,plain,
% 17.25/12.08 (~node2(s313)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25147, 787, 25144])).
% 17.25/12.08 tff(25149,plain,
% 17.25/12.08 (((~![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(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25150,plain,
% 17.25/12.08 (((~node6(s312, s313)) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1)) <=> ((~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25151,plain,
% 17.25/12.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s312, s313)) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, 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(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313))))),
% 17.25/12.08 inference(monotonicity,[status(thm)],[25150])).
% 17.25/12.08 tff(25152,plain,
% 17.25/12.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s312, s313)) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, 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(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313)))),
% 17.25/12.08 inference(transitivity,[status(thm)],[25151, 25149])).
% 17.25/12.08 tff(25153,plain,
% 17.25/12.08 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s312, s313)) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25154,plain,
% 17.25/12.08 ((~![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(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 17.25/12.08 tff(25155,plain,
% 17.25/12.08 (m_main_v_state1(s313, c_t1)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25154, 856, 25040, 25137])).
% 17.25/12.08 tff(25156,plain,
% 17.25/12.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_t2)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25157,plain,
% 17.25/12.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_t2)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25158,plain,
% 17.25/12.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_t2))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25157, 25156])).
% 17.25/12.08 tff(25159,plain,
% 17.25/12.08 (~m_main_v_state2(s313, c_t2)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25158, 77, 25087])).
% 17.25/12.08 tff(25160,plain,
% 17.25/12.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s313, c_t2) | (~node1(s313)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s313, c_t2) | (~node1(s313)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25161,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s313, c_t2) | (~node1(s313)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25162,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s313, c_t2) | (~node1(s313))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25161, 25160])).
% 17.25/12.08 tff(25163,plain,
% 17.25/12.08 (~node1(s313)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25162, 195, 25159])).
% 17.25/12.08 tff(25164,plain,
% 17.25/12.08 (succ(s313, s314) <=> succ(s313, s314)),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25165,axiom,(succ(s313, s314)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound314')).
% 17.25/12.08 tff(25166,plain,
% 17.25/12.08 (succ(s313, s314)),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25165, 25164])).
% 17.25/12.08 tff(25167,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s313, s314)) | trans(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s313, s314)) | trans(s313, s314))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25168,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s313, s314)) | trans(s313, s314))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25169,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s313, s314)) | trans(s313, s314)),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25168, 25167])).
% 17.25/12.08 tff(25170,plain,
% 17.25/12.08 (trans(s313, s314)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25169, 25166, 32])).
% 17.25/12.08 tff(25171,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s313, s314)) | node7(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s313, s314)) | node7(s313, s314))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25172,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s313, s314)) | node7(s313, s314))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25173,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s313, s314)) | node7(s313, s314)),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25172, 25171])).
% 17.25/12.08 tff(25174,plain,
% 17.25/12.08 (node7(s313, s314)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25173, 206, 25170])).
% 17.25/12.08 tff(25175,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25176,plain,
% 17.25/12.08 (((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)) | m_main_v_state1(s314, c_c1)) <=> ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25177,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)) | m_main_v_state1(s314, 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(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314))))),
% 17.25/12.08 inference(monotonicity,[status(thm)],[25176])).
% 17.25/12.08 tff(25178,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)) | m_main_v_state1(s314, 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(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)))),
% 17.25/12.08 inference(transitivity,[status(thm)],[25177, 25175])).
% 17.25/12.08 tff(25179,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)) | m_main_v_state1(s314, c_c1))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25180,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25179, 25178])).
% 17.25/12.08 tff(25181,plain,
% 17.25/12.08 ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25180, 892, 25174])).
% 17.25/12.08 tff(25182,plain,
% 17.25/12.08 (m_main_v_state1(s314, c_c1)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25181, 25163, 25087, 25155, 25148, 25095])).
% 17.25/12.08 tff(25183,plain,
% 17.25/12.08 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s314, c_t1)) | (~m_main_v_state1(s314, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s314, c_t1)) | (~m_main_v_state1(s314, c_c1)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25184,plain,
% 17.25/12.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s314, c_t1)) | (~m_main_v_state1(s314, c_c1)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25185,plain,
% 17.25/12.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s314, c_t1)) | (~m_main_v_state1(s314, c_c1))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25184, 25183])).
% 17.25/12.08 tff(25186,plain,
% 17.25/12.08 (~m_main_v_state1(s314, c_t1)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25185, 539, 25182])).
% 17.25/12.08 tff(25187,plain,
% 17.25/12.08 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s314, c_t1) | (~node5(s314)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s314, c_t1) | (~node5(s314)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25188,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s314, c_t1) | (~node5(s314)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25189,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s314, c_t1) | (~node5(s314))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25188, 25187])).
% 17.25/12.08 tff(25190,plain,
% 17.25/12.08 (~node5(s314)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25189, 550, 25186])).
% 17.25/12.08 tff(25191,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s313, s314)) | node14(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s313, s314)) | node14(s313, s314))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25192,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s313, s314)) | node14(s313, s314))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25193,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s313, s314)) | node14(s313, s314)),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25192, 25191])).
% 17.25/12.08 tff(25194,plain,
% 17.25/12.08 (node14(s313, s314)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25193, 46, 25170])).
% 17.25/12.08 tff(25195,plain,
% 17.25/12.08 (((~![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(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | (~node14(s313, s314)) | m_main_v_state2(s314, 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(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | (~node14(s313, s314)) | m_main_v_state2(s314, c_t2))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25196,plain,
% 17.25/12.08 ((~![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(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | (~node14(s313, s314)) | m_main_v_state2(s314, c_t2))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25197,plain,
% 17.25/12.08 ((~![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(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | (~node14(s313, s314)) | m_main_v_state2(s314, c_t2)),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25196, 25195])).
% 17.25/12.08 tff(25198,plain,
% 17.25/12.08 ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state2(s314, c_t2)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25197, 922, 25194])).
% 17.25/12.08 tff(25199,plain,
% 17.25/12.08 (m_main_v_state2(s314, c_t2)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25198, 25155, 25087])).
% 17.25/12.08 tff(25200,plain,
% 17.25/12.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s314, c_n2)) | (~m_main_v_state2(s314, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s314, c_n2)) | (~m_main_v_state2(s314, c_t2)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25201,plain,
% 17.25/12.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s314, c_n2)) | (~m_main_v_state2(s314, c_t2)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25202,plain,
% 17.25/12.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s314, c_n2)) | (~m_main_v_state2(s314, c_t2))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25201, 25200])).
% 17.25/12.08 tff(25203,plain,
% 17.25/12.08 (~m_main_v_state2(s314, c_n2)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25202, 77, 25199])).
% 17.25/12.08 tff(25204,plain,
% 17.25/12.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s314, c_n2) | (~node4(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s314, c_n2) | (~node4(s314)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25205,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s314, c_n2) | (~node4(s314)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25206,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s314, c_n2) | (~node4(s314))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25205, 25204])).
% 17.25/12.08 tff(25207,plain,
% 17.25/12.08 (~node4(s314)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25206, 388, 25203])).
% 17.25/12.08 tff(25208,plain,
% 17.25/12.08 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s314, c_t2)) | (~m_main_v_state2(s314, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s314, c_t2)) | (~m_main_v_state2(s314, c_c2)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25209,plain,
% 17.25/12.08 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s314, c_t2)) | (~m_main_v_state2(s314, c_c2)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25210,plain,
% 17.25/12.08 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s314, c_t2)) | (~m_main_v_state2(s314, c_c2))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25209, 25208])).
% 17.25/12.08 tff(25211,plain,
% 17.25/12.08 (~m_main_v_state2(s314, c_c2)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25210, 260, 25199])).
% 17.25/12.08 tff(25212,plain,
% 17.25/12.08 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s314, c_c2) | (~node3(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s314, c_c2) | (~node3(s314)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25213,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s314, c_c2) | (~node3(s314)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25214,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s314, c_c2) | (~node3(s314))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25213, 25212])).
% 17.25/12.08 tff(25215,plain,
% 17.25/12.08 (~node3(s314)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25214, 399, 25211])).
% 17.25/12.08 tff(25216,plain,
% 17.25/12.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s314, c_n2) | (~node2(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s314, c_n2) | (~node2(s314)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25217,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s314, c_n2) | (~node2(s314)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25218,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s314, c_n2) | (~node2(s314))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25217, 25216])).
% 17.25/12.08 tff(25219,plain,
% 17.25/12.08 (~node2(s314)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25218, 410, 25203])).
% 17.25/12.08 tff(25220,plain,
% 17.25/12.08 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s314, c_n1)) | (~m_main_v_state1(s314, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s314, c_n1)) | (~m_main_v_state1(s314, c_c1)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25221,plain,
% 17.25/12.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s314, c_n1)) | (~m_main_v_state1(s314, c_c1)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25222,plain,
% 17.25/12.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s314, c_n1)) | (~m_main_v_state1(s314, c_c1))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25221, 25220])).
% 17.25/12.08 tff(25223,plain,
% 17.25/12.08 (~m_main_v_state1(s314, c_n1)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25222, 454, 25182])).
% 17.25/12.08 tff(25224,plain,
% 17.25/12.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s314, c_n1) | (~node1(s314)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s314, c_n1) | (~node1(s314)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25225,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s314, c_n1) | (~node1(s314)))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25226,plain,
% 17.25/12.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s314, c_n1) | (~node1(s314))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25225, 25224])).
% 17.25/12.08 tff(25227,plain,
% 17.25/12.08 (~node1(s314)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25226, 421, 25223])).
% 17.25/12.08 tff(25228,plain,
% 17.25/12.08 (succ(s314, s315) <=> succ(s314, s315)),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25229,axiom,(succ(s314, s315)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound315')).
% 17.25/12.08 tff(25230,plain,
% 17.25/12.08 (succ(s314, s315)),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25229, 25228])).
% 17.25/12.08 tff(25231,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s314, s315)) | trans(s314, s315))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s314, s315)) | trans(s314, s315))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25232,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s314, s315)) | trans(s314, s315))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25233,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s314, s315)) | trans(s314, s315)),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25232, 25231])).
% 17.25/12.08 tff(25234,plain,
% 17.25/12.08 (trans(s314, s315)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25233, 25230, 32])).
% 17.25/12.08 tff(25235,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s314, s315)) | node7(s314, s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s314, s315)) | node7(s314, s315))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25236,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s314, s315)) | node7(s314, s315))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25237,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s314, s315)) | node7(s314, s315)),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25236, 25235])).
% 17.25/12.08 tff(25238,plain,
% 17.25/12.08 (node7(s314, s315)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25237, 206, 25234])).
% 17.25/12.08 tff(25239,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25240,plain,
% 17.25/12.08 (((~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)) | m_main_v_state1(s315, c_n1)) <=> (m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)))),
% 17.25/12.08 inference(rewrite,[status(thm)],[])).
% 17.25/12.08 tff(25241,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)) | m_main_v_state1(s315, 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(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315))))),
% 17.25/12.08 inference(monotonicity,[status(thm)],[25240])).
% 17.25/12.08 tff(25242,plain,
% 17.25/12.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)) | m_main_v_state1(s315, 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(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)))),
% 17.25/12.08 inference(transitivity,[status(thm)],[25241, 25239])).
% 17.25/12.08 tff(25243,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)) | m_main_v_state1(s315, c_n1))),
% 17.25/12.08 inference(quant_inst,[status(thm)],[])).
% 17.25/12.08 tff(25244,plain,
% 17.25/12.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315))),
% 17.25/12.08 inference(modus_ponens,[status(thm)],[25243, 25242])).
% 17.25/12.08 tff(25245,plain,
% 17.25/12.08 (m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25244, 584, 25238])).
% 17.25/12.08 tff(25246,plain,
% 17.25/12.08 (m_main_v_state1(s315, c_n1)),
% 17.25/12.08 inference(unit_resolution,[status(thm)],[25245, 25227, 25182, 25219, 25215, 25207, 25190])).
% 17.25/12.08 tff(25247,plain,
% 17.25/12.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s313, c_t2) | (~node15(s313)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s313, c_t2) | (~node15(s313)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25248,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s313, c_t2) | (~node15(s313)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25249,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s313, c_t2) | (~node15(s313))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25248, 25247])).
% 17.25/12.09 tff(25250,plain,
% 17.25/12.09 (~node15(s313)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25249, 103, 25159])).
% 17.25/12.09 tff(25251,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s313, s314)) | node18(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s313, s314)) | node18(s313, s314))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25252,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s313, s314)) | node18(s313, s314))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25253,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s313, s314)) | node18(s313, s314)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25252, 25251])).
% 17.25/12.09 tff(25254,plain,
% 17.25/12.09 (node18(s313, s314)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25253, 125, 25170])).
% 17.25/12.09 tff(25255,plain,
% 17.25/12.09 (((~![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(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25256,plain,
% 17.25/12.09 (((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node15(s313) | (~node18(s313, s314)) | m_main_v_turn(s314, c_1)) <=> (node15(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25257,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node15(s313) | (~node18(s313, s314)) | m_main_v_turn(s314, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1)))),
% 17.25/12.09 inference(monotonicity,[status(thm)],[25256])).
% 17.25/12.09 tff(25258,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node15(s313) | (~node18(s313, s314)) | m_main_v_turn(s314, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1))),
% 17.25/12.09 inference(transitivity,[status(thm)],[25257, 25255])).
% 17.25/12.09 tff(25259,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node15(s313) | (~node18(s313, s314)) | m_main_v_turn(s314, c_1))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25260,plain,
% 17.25/12.09 ((~![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(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25259, 25258])).
% 17.25/12.09 tff(25261,plain,
% 17.25/12.09 (node15(s313) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25260, 992, 25254])).
% 17.25/12.09 tff(25262,plain,
% 17.25/12.09 (m_main_v_turn(s314, c_1)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25261, 25250, 25087, 25155])).
% 17.25/12.09 tff(25263,plain,
% 17.25/12.09 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s314, c_1)) | (~m_main_v_turn(s314, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s314, c_1)) | (~m_main_v_turn(s314, c_2)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25264,plain,
% 17.25/12.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s314, c_1)) | (~m_main_v_turn(s314, c_2)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25265,plain,
% 17.25/12.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s314, c_1)) | (~m_main_v_turn(s314, c_2))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25264, 25263])).
% 17.25/12.09 tff(25266,plain,
% 17.25/12.09 (~m_main_v_turn(s314, c_2)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25265, 156, 25262])).
% 17.25/12.09 tff(25267,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s314, c_2) | (~node12(s314)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s314, c_2) | (~node12(s314)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25268,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s314, c_2) | (~node12(s314)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25269,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s314, c_2) | (~node12(s314))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25268, 25267])).
% 17.25/12.09 tff(25270,plain,
% 17.25/12.09 (~node12(s314)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25269, 184, 25266])).
% 17.25/12.09 tff(25271,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s314, c_n2) | (~node8(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s314, c_n2) | (~node8(s314)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25272,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s314, c_n2) | (~node8(s314)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25273,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s314, c_n2) | (~node8(s314))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25272, 25271])).
% 17.25/12.09 tff(25274,plain,
% 17.25/12.09 (~node8(s314)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25273, 271, 25203])).
% 17.25/12.09 tff(25275,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s314, c_n2) | (~node9(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s314, c_n2) | (~node9(s314)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25276,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s314, c_n2) | (~node9(s314)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25277,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s314, c_n2) | (~node9(s314))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25276, 25275])).
% 17.25/12.09 tff(25278,plain,
% 17.25/12.09 (~node9(s314)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25277, 88, 25203])).
% 17.25/12.09 tff(25279,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s314, c_n2) | (~node10(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s314, c_n2) | (~node10(s314)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25280,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s314, c_n2) | (~node10(s314)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25281,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s314, c_n2) | (~node10(s314))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25280, 25279])).
% 17.25/12.09 tff(25282,plain,
% 17.25/12.09 (~node10(s314)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25281, 249, 25203])).
% 17.25/12.09 tff(25283,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s314, c_n1) | (~node11(s314)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s314, c_n1) | (~node11(s314)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25284,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s314, c_n1) | (~node11(s314)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25285,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s314, c_n1) | (~node11(s314))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25284, 25283])).
% 17.25/12.09 tff(25286,plain,
% 17.25/12.09 (~node11(s314)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25285, 238, 25223])).
% 17.25/12.09 tff(25287,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s314, s315)) | node14(s314, s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s314, s315)) | node14(s314, s315))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25288,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s314, s315)) | node14(s314, s315))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25289,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s314, s315)) | node14(s314, s315)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25288, 25287])).
% 17.25/12.09 tff(25290,plain,
% 17.25/12.09 (node14(s314, s315)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25289, 46, 25234])).
% 17.25/12.09 tff(25291,plain,
% 17.25/12.09 (((~![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(s314, c_c2) | node9(s314) | node8(s314) | node10(s314) | node11(s314) | node12(s314) | node13(s314, s315) | (~node14(s314, s315)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s314, c_c2) | node9(s314) | node8(s314) | node10(s314) | node11(s314) | node12(s314) | node13(s314, s315) | (~node14(s314, s315)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25292,plain,
% 17.25/12.09 ((~![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(s314, c_c2) | node9(s314) | node8(s314) | node10(s314) | node11(s314) | node12(s314) | node13(s314, s315) | (~node14(s314, s315)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25293,plain,
% 17.25/12.09 ((~![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(s314, c_c2) | node9(s314) | node8(s314) | node10(s314) | node11(s314) | node12(s314) | node13(s314, s315) | (~node14(s314, s315))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25292, 25291])).
% 17.25/12.09 tff(25294,plain,
% 17.25/12.09 (m_main_v_state2(s314, c_c2) | node9(s314) | node8(s314) | node10(s314) | node11(s314) | node12(s314) | node13(s314, s315)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25293, 296, 25290])).
% 17.25/12.09 tff(25295,plain,
% 17.25/12.09 (node13(s314, s315)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25294, 25286, 25211, 25282, 25278, 25274, 25270])).
% 17.25/12.09 tff(25296,plain,
% 17.25/12.09 (((~![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(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25297,plain,
% 17.25/12.09 (((~node13(s314, s315)) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2)) <=> ((~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25298,plain,
% 17.25/12.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s314, s315)) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, 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(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315))))),
% 17.25/12.09 inference(monotonicity,[status(thm)],[25297])).
% 17.25/12.09 tff(25299,plain,
% 17.25/12.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s314, s315)) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, 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(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315)))),
% 17.25/12.09 inference(transitivity,[status(thm)],[25298, 25296])).
% 17.25/12.09 tff(25300,plain,
% 17.25/12.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s314, s315)) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25301,plain,
% 17.25/12.09 ((~![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(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25300, 25299])).
% 17.25/12.09 tff(25302,plain,
% 17.25/12.09 (m_main_v_state2(s315, c_t2)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25301, 518, 25199, 25295])).
% 17.25/12.09 tff(25303,plain,
% 17.25/12.09 (succ(s315, s316) <=> succ(s315, s316)),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25304,axiom,(succ(s315, s316)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound316')).
% 17.25/12.09 tff(25305,plain,
% 17.25/12.09 (succ(s315, s316)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25304, 25303])).
% 17.25/12.09 tff(25306,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s315, s316)) | trans(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s315, s316)) | trans(s315, s316))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25307,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s315, s316)) | trans(s315, s316))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25308,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s315, s316)) | trans(s315, s316)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25307, 25306])).
% 17.25/12.09 tff(25309,plain,
% 17.25/12.09 (trans(s315, s316)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25308, 25305, 32])).
% 17.25/12.09 tff(25310,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s315, s316)) | node7(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s315, s316)) | node7(s315, s316))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25311,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s315, s316)) | node7(s315, s316))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25312,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s315, s316)) | node7(s315, s316)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 17.25/12.09 tff(25313,plain,
% 17.25/12.09 (node7(s315, s316)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25312, 206, 25309])).
% 17.25/12.09 tff(25314,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node7(s315, s316)) | m_main_v_state1(s316, 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(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node7(s315, s316)) | m_main_v_state1(s316, c_t1))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25315,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node7(s315, s316)) | m_main_v_state1(s316, c_t1))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25316,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node7(s315, s316)) | m_main_v_state1(s316, c_t1)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25315, 25314])).
% 17.25/12.09 tff(25317,plain,
% 17.25/12.09 ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | m_main_v_state1(s316, c_t1)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25316, 651, 25313])).
% 17.25/12.09 tff(25318,plain,
% 17.25/12.09 (m_main_v_state1(s316, c_t1)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25317, 25302, 25246])).
% 17.25/12.09 tff(25319,plain,
% 17.25/12.09 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s316, c_n1)) | (~m_main_v_state1(s316, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s316, c_n1)) | (~m_main_v_state1(s316, c_t1)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25320,plain,
% 17.25/12.09 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s316, c_n1)) | (~m_main_v_state1(s316, c_t1)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25321,plain,
% 17.25/12.09 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s316, c_n1)) | (~m_main_v_state1(s316, c_t1))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25320, 25319])).
% 17.25/12.09 tff(25322,plain,
% 17.25/12.09 (~m_main_v_state1(s316, c_n1)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25321, 10, 25318])).
% 17.25/12.09 tff(25323,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s316, c_n1) | (~node1(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s316, c_n1) | (~node1(s316)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25324,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s316, c_n1) | (~node1(s316)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25325,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s316, c_n1) | (~node1(s316))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25324, 25323])).
% 17.25/12.09 tff(25326,plain,
% 17.25/12.09 (~node1(s316)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25325, 421, 25322])).
% 17.25/12.09 tff(25327,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s315, s316)) | node18(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s315, s316)) | node18(s315, s316))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25328,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s315, s316)) | node18(s315, s316))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25329,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s315, s316)) | node18(s315, s316)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25328, 25327])).
% 17.25/12.09 tff(25330,plain,
% 17.25/12.09 (node18(s315, s316)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25329, 125, 25309])).
% 17.25/12.09 tff(25331,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node18(s315, s316)) | m_main_v_turn(s316, 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(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node18(s315, s316)) | m_main_v_turn(s316, c_2))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25332,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node18(s315, s316)) | m_main_v_turn(s316, c_2))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25333,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node18(s315, s316)) | m_main_v_turn(s316, c_2)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25332, 25331])).
% 17.25/12.09 tff(25334,plain,
% 17.25/12.09 ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | m_main_v_turn(s316, c_2)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25333, 760, 25330])).
% 17.25/12.09 tff(25335,plain,
% 17.25/12.09 (m_main_v_turn(s316, c_2)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25334, 25302, 25246])).
% 17.25/12.09 tff(25336,plain,
% 17.25/12.09 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s316, c_1)) | (~m_main_v_turn(s316, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s316, c_1)) | (~m_main_v_turn(s316, c_2)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25337,plain,
% 17.25/12.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s316, c_1)) | (~m_main_v_turn(s316, c_2)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25338,plain,
% 17.25/12.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s316, c_1)) | (~m_main_v_turn(s316, c_2))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25337, 25336])).
% 17.25/12.09 tff(25339,plain,
% 17.25/12.09 (~m_main_v_turn(s316, c_1)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25338, 156, 25335])).
% 17.25/12.09 tff(25340,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s316, c_1) | (~node5(s316)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s316, c_1) | (~node5(s316)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25341,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s316, c_1) | (~node5(s316)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25342,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s316, c_1) | (~node5(s316))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25341, 25340])).
% 17.25/12.09 tff(25343,plain,
% 17.25/12.09 (~node5(s316)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25342, 776, 25339])).
% 17.25/12.09 tff(25344,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s316, c_n1) | (~node2(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s316, c_n1) | (~node2(s316)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25345,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s316, c_n1) | (~node2(s316)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25346,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s316, c_n1) | (~node2(s316))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25345, 25344])).
% 17.25/12.09 tff(25347,plain,
% 17.25/12.09 (~node2(s316)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25346, 787, 25322])).
% 17.25/12.09 tff(25348,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s316, c_n1) | (~node3(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s316, c_n1) | (~node3(s316)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25349,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s316, c_n1) | (~node3(s316)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25350,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s316, c_n1) | (~node3(s316))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25349, 25348])).
% 17.25/12.09 tff(25351,plain,
% 17.25/12.09 (~node3(s316)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25350, 798, 25322])).
% 17.25/12.09 tff(25352,plain,
% 17.25/12.09 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s316, c_t1)) | (~m_main_v_state1(s316, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s316, c_t1)) | (~m_main_v_state1(s316, c_c1)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25353,plain,
% 17.25/12.09 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s316, c_t1)) | (~m_main_v_state1(s316, c_c1)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25354,plain,
% 17.25/12.09 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s316, c_t1)) | (~m_main_v_state1(s316, c_c1))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25353, 25352])).
% 17.25/12.09 tff(25355,plain,
% 17.25/12.09 (~m_main_v_state1(s316, c_c1)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25354, 539, 25318])).
% 17.25/12.09 tff(25356,plain,
% 17.25/12.09 (((~![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(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25357,plain,
% 17.25/12.09 (((~node13(s314, s315)) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2))) <=> (m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25358,plain,
% 17.25/12.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s314, s315)) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, 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(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315))))),
% 17.25/12.09 inference(monotonicity,[status(thm)],[25357])).
% 17.25/12.09 tff(25359,plain,
% 17.25/12.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s314, s315)) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, 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(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315)))),
% 17.25/12.09 inference(transitivity,[status(thm)],[25358, 25356])).
% 17.25/12.09 tff(25360,plain,
% 17.25/12.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s314, s315)) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25361,plain,
% 17.25/12.09 ((~![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(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25360, 25359])).
% 17.25/12.09 tff(25362,plain,
% 17.25/12.09 (~m_main_v_state2(s315, c_n2)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25361, 311, 25203, 25295])).
% 17.25/12.09 tff(25363,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s315, c_n2) | (~node9(s315)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s315, c_n2) | (~node9(s315)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25364,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s315, c_n2) | (~node9(s315)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25365,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s315, c_n2) | (~node9(s315))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25364, 25363])).
% 17.25/12.09 tff(25366,plain,
% 17.25/12.09 (~node9(s315)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25365, 88, 25362])).
% 17.25/12.09 tff(25367,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s315, c_n2) | (~node10(s315)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s315, c_n2) | (~node10(s315)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25368,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s315, c_n2) | (~node10(s315)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25369,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s315, c_n2) | (~node10(s315))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25368, 25367])).
% 17.25/12.09 tff(25370,plain,
% 17.25/12.09 (~node10(s315)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25369, 249, 25362])).
% 17.25/12.09 tff(25371,plain,
% 17.25/12.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s315, c_n2) | (~node8(s315)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s315, c_n2) | (~node8(s315)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25372,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s315, c_n2) | (~node8(s315)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25373,plain,
% 17.25/12.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s315, c_n2) | (~node8(s315))),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25372, 25371])).
% 17.25/12.09 tff(25374,plain,
% 17.25/12.09 (~node8(s315)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25373, 271, 25362])).
% 17.25/12.09 tff(25375,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s315, s316)) | node14(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s315, s316)) | node14(s315, s316))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25376,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s315, s316)) | node14(s315, s316))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25377,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s315, s316)) | node14(s315, s316)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25376, 25375])).
% 17.25/12.09 tff(25378,plain,
% 17.25/12.09 (node14(s315, s316)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25377, 46, 25309])).
% 17.25/12.09 tff(25379,plain,
% 17.25/12.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | node9(s315) | node8(s315) | node10(s315) | (~node14(s315, s316)) | m_main_v_state2(s316, 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(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | node9(s315) | node8(s315) | node10(s315) | (~node14(s315, s316)) | m_main_v_state2(s316, c_c2))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25380,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | node9(s315) | node8(s315) | node10(s315) | (~node14(s315, s316)) | m_main_v_state2(s316, c_c2))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25381,plain,
% 17.25/12.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | node9(s315) | node8(s315) | node10(s315) | (~node14(s315, s316)) | m_main_v_state2(s316, c_c2)),
% 17.25/12.09 inference(modus_ponens,[status(thm)],[25380, 25379])).
% 17.25/12.09 tff(25382,plain,
% 17.25/12.09 ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | node9(s315) | node8(s315) | node10(s315) | m_main_v_state2(s316, c_c2)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25381, 617, 25378])).
% 17.25/12.09 tff(25383,plain,
% 17.25/12.09 (m_main_v_state2(s316, c_c2)),
% 17.25/12.09 inference(unit_resolution,[status(thm)],[25382, 25374, 25246, 25302, 25370, 25366])).
% 17.25/12.09 tff(25384,plain,
% 17.25/12.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s316, c_n2)) | (~m_main_v_state2(s316, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s316, c_n2)) | (~m_main_v_state2(s316, c_c2)))),
% 17.25/12.09 inference(rewrite,[status(thm)],[])).
% 17.25/12.09 tff(25385,plain,
% 17.25/12.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s316, c_n2)) | (~m_main_v_state2(s316, c_c2)))),
% 17.25/12.09 inference(quant_inst,[status(thm)],[])).
% 17.25/12.09 tff(25386,plain,
% 17.25/12.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s316, c_n2)) | (~m_main_v_state2(s316, c_c2))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25385, 25384])).
% 17.25/12.10 tff(25387,plain,
% 17.25/12.10 (~m_main_v_state2(s316, c_n2)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25386, 697, 25383])).
% 17.25/12.10 tff(25388,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s316, c_n2) | (~node4(s316)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s316, c_n2) | (~node4(s316)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25389,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s316, c_n2) | (~node4(s316)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25390,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s316, c_n2) | (~node4(s316))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25389, 25388])).
% 17.25/12.10 tff(25391,plain,
% 17.25/12.10 (~node4(s316)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25390, 388, 25387])).
% 17.25/12.10 tff(25392,plain,
% 17.25/12.10 (succ(s316, s317) <=> succ(s316, s317)),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25393,axiom,(succ(s316, s317)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound317')).
% 17.25/12.10 tff(25394,plain,
% 17.25/12.10 (succ(s316, s317)),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25393, 25392])).
% 17.25/12.10 tff(25395,plain,
% 17.25/12.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s316, s317)) | trans(s316, s317))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s316, s317)) | trans(s316, s317))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25396,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s316, s317)) | trans(s316, s317))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25397,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s316, s317)) | trans(s316, s317)),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25396, 25395])).
% 17.25/12.10 tff(25398,plain,
% 17.25/12.10 (trans(s316, s317)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25397, 25394, 32])).
% 17.25/12.10 tff(25399,plain,
% 17.25/12.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s316, s317)) | node7(s316, s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s316, s317)) | node7(s316, s317))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25400,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s316, s317)) | node7(s316, s317))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25401,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s316, s317)) | node7(s316, s317)),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25400, 25399])).
% 17.25/12.10 tff(25402,plain,
% 17.25/12.10 (node7(s316, s317)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25401, 206, 25398])).
% 17.25/12.10 tff(25403,plain,
% 17.25/12.10 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s316, c_c1) | node1(s316) | node2(s316) | node3(s316) | node4(s316) | node5(s316) | node6(s316, s317) | (~node7(s316, s317)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s316, c_c1) | node1(s316) | node2(s316) | node3(s316) | node4(s316) | node5(s316) | node6(s316, s317) | (~node7(s316, s317)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25404,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s316, c_c1) | node1(s316) | node2(s316) | node3(s316) | node4(s316) | node5(s316) | node6(s316, s317) | (~node7(s316, s317)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25405,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s316, c_c1) | node1(s316) | node2(s316) | node3(s316) | node4(s316) | node5(s316) | node6(s316, s317) | (~node7(s316, s317))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25404, 25403])).
% 17.25/12.10 tff(25406,plain,
% 17.25/12.10 (m_main_v_state1(s316, c_c1) | node1(s316) | node2(s316) | node3(s316) | node4(s316) | node5(s316) | node6(s316, s317)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25405, 820, 25402])).
% 17.25/12.10 tff(25407,plain,
% 17.25/12.10 (node6(s316, s317)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25406, 25391, 25355, 25351, 25347, 25343, 25326])).
% 17.25/12.10 tff(25408,plain,
% 17.25/12.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25409,plain,
% 17.25/12.10 (((~node6(s316, s317)) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1)) <=> ((~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25410,plain,
% 17.25/12.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s316, s317)) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, 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(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317))))),
% 17.25/12.10 inference(monotonicity,[status(thm)],[25409])).
% 17.25/12.10 tff(25411,plain,
% 17.25/12.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s316, s317)) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, 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(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317)))),
% 17.25/12.10 inference(transitivity,[status(thm)],[25410, 25408])).
% 17.25/12.10 tff(25412,plain,
% 17.25/12.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s316, s317)) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25413,plain,
% 17.25/12.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25412, 25411])).
% 17.25/12.10 tff(25414,plain,
% 17.25/12.10 (m_main_v_state1(s317, c_t1)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25413, 856, 25318, 25407])).
% 17.25/12.10 tff(25415,plain,
% 17.25/12.10 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s316, c_t2)) | (~m_main_v_state2(s316, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s316, c_t2)) | (~m_main_v_state2(s316, c_c2)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25416,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s316, c_t2)) | (~m_main_v_state2(s316, c_c2)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25417,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s316, c_t2)) | (~m_main_v_state2(s316, c_c2))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25416, 25415])).
% 17.25/12.10 tff(25418,plain,
% 17.25/12.10 (~m_main_v_state2(s316, c_t2)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25417, 260, 25383])).
% 17.25/12.10 tff(25419,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s316, c_t2) | (~node12(s316)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s316, c_t2) | (~node12(s316)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25420,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s316, c_t2) | (~node12(s316)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25421,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s316, c_t2) | (~node12(s316))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25420, 25419])).
% 17.25/12.10 tff(25422,plain,
% 17.25/12.10 (~node12(s316)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25421, 633, 25418])).
% 17.25/12.10 tff(25423,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s316, c_n1) | (~node11(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s316, c_n1) | (~node11(s316)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25424,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s316, c_n1) | (~node11(s316)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25425,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s316, c_n1) | (~node11(s316))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25424, 25423])).
% 17.25/12.10 tff(25426,plain,
% 17.25/12.10 (~node11(s316)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25425, 238, 25322])).
% 17.25/12.10 tff(25427,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s316, c_c1) | (~node10(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s316, c_c1) | (~node10(s316)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25428,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s316, c_c1) | (~node10(s316)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25429,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s316, c_c1) | (~node10(s316))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25428, 25427])).
% 17.25/12.10 tff(25430,plain,
% 17.25/12.10 (~node10(s316)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25429, 675, 25355])).
% 17.25/12.10 tff(25431,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s316, c_n1) | (~node9(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s316, c_n1) | (~node9(s316)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25432,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s316, c_n1) | (~node9(s316)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25433,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s316, c_n1) | (~node9(s316))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25432, 25431])).
% 17.25/12.10 tff(25434,plain,
% 17.25/12.10 (~node9(s316)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25433, 686, 25322])).
% 17.25/12.10 tff(25435,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s316, c_n2) | (~node8(s316)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s316, c_n2) | (~node8(s316)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25436,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s316, c_n2) | (~node8(s316)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25437,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s316, c_n2) | (~node8(s316))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25436, 25435])).
% 17.25/12.10 tff(25438,plain,
% 17.25/12.10 (~node8(s316)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25437, 271, 25387])).
% 17.25/12.10 tff(25439,plain,
% 17.25/12.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s316, s317)) | node14(s316, s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s316, s317)) | node14(s316, s317))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25440,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s316, s317)) | node14(s316, s317))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25441,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s316, s317)) | node14(s316, s317)),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25440, 25439])).
% 17.25/12.10 tff(25442,plain,
% 17.25/12.10 (node14(s316, s317)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25441, 46, 25398])).
% 17.25/12.10 tff(25443,plain,
% 17.25/12.10 (((~![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(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, 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(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25444,plain,
% 17.25/12.10 (((~m_main_v_state2(s316, c_c2)) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | m_main_v_state2(s317, c_n2)) <=> (m_main_v_state2(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25445,plain,
% 17.25/12.10 (((~![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(s316, c_c2)) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | m_main_v_state2(s317, 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(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2))))),
% 17.25/12.10 inference(monotonicity,[status(thm)],[25444])).
% 17.25/12.10 tff(25446,plain,
% 17.25/12.10 (((~![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(s316, c_c2)) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | m_main_v_state2(s317, 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(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2)))),
% 17.25/12.10 inference(transitivity,[status(thm)],[25445, 25443])).
% 17.25/12.10 tff(25447,plain,
% 17.25/12.10 ((~![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(s316, c_c2)) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | m_main_v_state2(s317, c_n2))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25448,plain,
% 17.25/12.10 ((~![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(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25447, 25446])).
% 17.25/12.10 tff(25449,plain,
% 17.25/12.10 (m_main_v_state2(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~m_main_v_state2(s316, c_c2))),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25448, 726, 25442])).
% 17.25/12.10 tff(25450,plain,
% 17.25/12.10 (m_main_v_state2(s317, c_n2)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25449, 25438, 25383, 25434, 25430, 25426, 25422])).
% 17.25/12.10 tff(25451,plain,
% 17.25/12.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_t2)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25452,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_t2)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25453,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_t2))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25452, 25451])).
% 17.25/12.10 tff(25454,plain,
% 17.25/12.10 (~m_main_v_state2(s317, c_t2)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25453, 77, 25450])).
% 17.25/12.10 tff(25455,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s317, c_t2) | (~node15(s317)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s317, c_t2) | (~node15(s317)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25456,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s317, c_t2) | (~node15(s317)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25457,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s317, c_t2) | (~node15(s317))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25456, 25455])).
% 17.25/12.10 tff(25458,plain,
% 17.25/12.10 (~node15(s317)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25457, 103, 25454])).
% 17.25/12.10 tff(25459,plain,
% 17.25/12.10 (succ(s317, s318) <=> succ(s317, s318)),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25460,axiom,(succ(s317, s318)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound318')).
% 17.25/12.10 tff(25461,plain,
% 17.25/12.10 (succ(s317, s318)),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25460, 25459])).
% 17.25/12.10 tff(25462,plain,
% 17.25/12.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s317, s318)) | trans(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s317, s318)) | trans(s317, s318))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25463,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s317, s318)) | trans(s317, s318))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25464,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s317, s318)) | trans(s317, s318)),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25463, 25462])).
% 17.25/12.10 tff(25465,plain,
% 17.25/12.10 (trans(s317, s318)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25464, 25461, 32])).
% 17.25/12.10 tff(25466,plain,
% 17.25/12.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s317, s318)) | node18(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s317, s318)) | node18(s317, s318))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25467,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s317, s318)) | node18(s317, s318))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25468,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s317, s318)) | node18(s317, s318)),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25467, 25466])).
% 17.25/12.10 tff(25469,plain,
% 17.25/12.10 (node18(s317, s318)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25468, 125, 25465])).
% 17.25/12.10 tff(25470,plain,
% 17.25/12.10 (((~![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(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25471,plain,
% 17.25/12.10 (((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node15(s317) | (~node18(s317, s318)) | m_main_v_turn(s318, c_1)) <=> (node15(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25472,plain,
% 17.25/12.10 (((~![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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node15(s317) | (~node18(s317, s318)) | m_main_v_turn(s318, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1)))),
% 17.25/12.10 inference(monotonicity,[status(thm)],[25471])).
% 17.25/12.10 tff(25473,plain,
% 17.25/12.10 (((~![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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node15(s317) | (~node18(s317, s318)) | m_main_v_turn(s318, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1))),
% 17.25/12.10 inference(transitivity,[status(thm)],[25472, 25470])).
% 17.25/12.10 tff(25474,plain,
% 17.25/12.10 ((~![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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node15(s317) | (~node18(s317, s318)) | m_main_v_turn(s318, c_1))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25475,plain,
% 17.25/12.10 ((~![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(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1)),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25474, 25473])).
% 17.25/12.10 tff(25476,plain,
% 17.25/12.10 (node15(s317) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25475, 992, 25469])).
% 17.25/12.10 tff(25477,plain,
% 17.25/12.10 (m_main_v_turn(s318, c_1)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25476, 25458, 25450, 25414])).
% 17.25/12.10 tff(25478,plain,
% 17.25/12.10 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s318, c_1)) | (~m_main_v_turn(s318, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s318, c_1)) | (~m_main_v_turn(s318, c_2)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25479,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s318, c_1)) | (~m_main_v_turn(s318, c_2)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25480,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s318, c_1)) | (~m_main_v_turn(s318, c_2))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25479, 25478])).
% 17.25/12.10 tff(25481,plain,
% 17.25/12.10 (~m_main_v_turn(s318, c_2)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25480, 156, 25477])).
% 17.25/12.10 tff(25482,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s318, c_2) | (~node12(s318)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s318, c_2) | (~node12(s318)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25483,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s318, c_2) | (~node12(s318)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25484,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s318, c_2) | (~node12(s318))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25483, 25482])).
% 17.25/12.10 tff(25485,plain,
% 17.25/12.10 (~node12(s318)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25484, 184, 25481])).
% 17.25/12.10 tff(25486,plain,
% 17.25/12.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s317, s318)) | node14(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s317, s318)) | node14(s317, s318))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25487,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s317, s318)) | node14(s317, s318))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25488,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s317, s318)) | node14(s317, s318)),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25487, 25486])).
% 17.25/12.10 tff(25489,plain,
% 17.25/12.10 (node14(s317, s318)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25488, 46, 25465])).
% 17.25/12.10 tff(25490,plain,
% 17.25/12.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | (~node14(s317, s318)) | m_main_v_state2(s318, 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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | (~node14(s317, s318)) | m_main_v_state2(s318, c_t2))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25491,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | (~node14(s317, s318)) | m_main_v_state2(s318, c_t2))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25492,plain,
% 17.25/12.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | (~node14(s317, s318)) | m_main_v_state2(s318, c_t2)),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25491, 25490])).
% 17.25/12.10 tff(25493,plain,
% 17.25/12.10 ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state2(s318, c_t2)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25492, 922, 25489])).
% 17.25/12.10 tff(25494,plain,
% 17.25/12.10 (m_main_v_state2(s318, c_t2)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25493, 25414, 25450])).
% 17.25/12.10 tff(25495,plain,
% 17.25/12.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s318, c_n2)) | (~m_main_v_state2(s318, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s318, c_n2)) | (~m_main_v_state2(s318, c_t2)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25496,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s318, c_n2)) | (~m_main_v_state2(s318, c_t2)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25497,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s318, c_n2)) | (~m_main_v_state2(s318, c_t2))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 17.25/12.10 tff(25498,plain,
% 17.25/12.10 (~m_main_v_state2(s318, c_n2)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25497, 77, 25494])).
% 17.25/12.10 tff(25499,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s318, c_n2) | (~node8(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s318, c_n2) | (~node8(s318)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25500,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s318, c_n2) | (~node8(s318)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25501,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s318, c_n2) | (~node8(s318))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25500, 25499])).
% 17.25/12.10 tff(25502,plain,
% 17.25/12.10 (~node8(s318)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25501, 271, 25498])).
% 17.25/12.10 tff(25503,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s318, c_n2) | (~node9(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s318, c_n2) | (~node9(s318)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25504,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s318, c_n2) | (~node9(s318)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25505,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s318, c_n2) | (~node9(s318))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25504, 25503])).
% 17.25/12.10 tff(25506,plain,
% 17.25/12.10 (~node9(s318)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25505, 88, 25498])).
% 17.25/12.10 tff(25507,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s318, c_n2) | (~node10(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s318, c_n2) | (~node10(s318)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25508,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s318, c_n2) | (~node10(s318)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25509,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s318, c_n2) | (~node10(s318))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25508, 25507])).
% 17.25/12.10 tff(25510,plain,
% 17.25/12.10 (~node10(s318)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25509, 249, 25498])).
% 17.25/12.10 tff(25511,plain,
% 17.25/12.10 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s318, c_t2)) | (~m_main_v_state2(s318, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s318, c_t2)) | (~m_main_v_state2(s318, c_c2)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25512,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s318, c_t2)) | (~m_main_v_state2(s318, c_c2)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25513,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s318, c_t2)) | (~m_main_v_state2(s318, c_c2))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25512, 25511])).
% 17.25/12.10 tff(25514,plain,
% 17.25/12.10 (~m_main_v_state2(s318, c_c2)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25513, 260, 25494])).
% 17.25/12.10 tff(25515,plain,
% 17.25/12.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_c2)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25516,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_c2)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25517,plain,
% 17.25/12.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_c2))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25516, 25515])).
% 17.25/12.10 tff(25518,plain,
% 17.25/12.10 (~m_main_v_state2(s317, c_c2)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25517, 697, 25450])).
% 17.25/12.10 tff(25519,plain,
% 17.25/12.10 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s317, c_c2) | (~node3(s317)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s317, c_c2) | (~node3(s317)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25520,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s317, c_c2) | (~node3(s317)))),
% 17.25/12.10 inference(quant_inst,[status(thm)],[])).
% 17.25/12.10 tff(25521,plain,
% 17.25/12.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s317, c_c2) | (~node3(s317))),
% 17.25/12.10 inference(modus_ponens,[status(thm)],[25520, 25519])).
% 17.25/12.10 tff(25522,plain,
% 17.25/12.10 (~node3(s317)),
% 17.25/12.10 inference(unit_resolution,[status(thm)],[25521, 399, 25518])).
% 17.25/12.10 tff(25523,plain,
% 17.25/12.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25524,plain,
% 17.25/12.10 (((~node6(s316, s317)) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1))) <=> (m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317)))),
% 17.25/12.10 inference(rewrite,[status(thm)],[])).
% 17.25/12.10 tff(25525,plain,
% 17.25/12.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s316, s317)) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, 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(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317))))),
% 17.25/12.11 inference(monotonicity,[status(thm)],[25524])).
% 17.25/12.11 tff(25526,plain,
% 17.25/12.11 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s316, s317)) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, 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(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317)))),
% 17.25/12.11 inference(transitivity,[status(thm)],[25525, 25523])).
% 17.25/12.11 tff(25527,plain,
% 17.25/12.11 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s316, s317)) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25528,plain,
% 17.25/12.11 ((~![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(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25527, 25526])).
% 17.25/12.11 tff(25529,plain,
% 17.25/12.11 (~m_main_v_state1(s317, c_n1)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25528, 835, 25322, 25407])).
% 17.25/12.11 tff(25530,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s317, c_n1) | (~node2(s317)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s317, c_n1) | (~node2(s317)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25531,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s317, c_n1) | (~node2(s317)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25532,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s317, c_n1) | (~node2(s317))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25531, 25530])).
% 17.25/12.11 tff(25533,plain,
% 17.25/12.11 (~node2(s317)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25532, 787, 25529])).
% 17.25/12.11 tff(25534,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s317, c_t2) | (~node1(s317)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s317, c_t2) | (~node1(s317)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25535,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s317, c_t2) | (~node1(s317)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25536,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s317, c_t2) | (~node1(s317))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25535, 25534])).
% 17.25/12.11 tff(25537,plain,
% 17.25/12.11 (~node1(s317)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25536, 195, 25454])).
% 17.25/12.11 tff(25538,plain,
% 17.25/12.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s317, s318)) | node7(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s317, s318)) | node7(s317, s318))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25539,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s317, s318)) | node7(s317, s318))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25540,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s317, s318)) | node7(s317, s318)),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25539, 25538])).
% 17.25/12.11 tff(25541,plain,
% 17.25/12.11 (node7(s317, s318)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25540, 206, 25465])).
% 17.25/12.11 tff(25542,plain,
% 17.25/12.11 (((~![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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25543,plain,
% 17.25/12.11 (((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)) | m_main_v_state1(s318, c_c1)) <=> ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25544,plain,
% 17.25/12.11 (((~![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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)) | m_main_v_state1(s318, 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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318))))),
% 17.25/12.11 inference(monotonicity,[status(thm)],[25543])).
% 17.25/12.11 tff(25545,plain,
% 17.25/12.11 (((~![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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)) | m_main_v_state1(s318, 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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)))),
% 17.25/12.11 inference(transitivity,[status(thm)],[25544, 25542])).
% 17.25/12.11 tff(25546,plain,
% 17.25/12.11 ((~![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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)) | m_main_v_state1(s318, c_c1))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25547,plain,
% 17.25/12.11 ((~![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(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25546, 25545])).
% 17.25/12.11 tff(25548,plain,
% 17.25/12.11 ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25547, 892, 25541])).
% 17.25/12.11 tff(25549,plain,
% 17.25/12.11 (m_main_v_state1(s318, c_c1)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25548, 25537, 25450, 25414, 25533, 25522])).
% 17.25/12.11 tff(25550,plain,
% 17.25/12.11 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s318, c_n1)) | (~m_main_v_state1(s318, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s318, c_n1)) | (~m_main_v_state1(s318, c_c1)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25551,plain,
% 17.25/12.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s318, c_n1)) | (~m_main_v_state1(s318, c_c1)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25552,plain,
% 17.25/12.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s318, c_n1)) | (~m_main_v_state1(s318, c_c1))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25551, 25550])).
% 17.25/12.11 tff(25553,plain,
% 17.25/12.11 (~m_main_v_state1(s318, c_n1)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25552, 454, 25549])).
% 17.25/12.11 tff(25554,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s318, c_n1) | (~node11(s318)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s318, c_n1) | (~node11(s318)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25555,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s318, c_n1) | (~node11(s318)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25556,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s318, c_n1) | (~node11(s318))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25555, 25554])).
% 17.25/12.11 tff(25557,plain,
% 17.25/12.11 (~node11(s318)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25556, 238, 25553])).
% 17.25/12.11 tff(25558,plain,
% 17.25/12.11 (succ(s318, s319) <=> succ(s318, s319)),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25559,axiom,(succ(s318, s319)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound319')).
% 17.25/12.11 tff(25560,plain,
% 17.25/12.11 (succ(s318, s319)),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25559, 25558])).
% 17.25/12.11 tff(25561,plain,
% 17.25/12.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s318, s319)) | trans(s318, s319))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s318, s319)) | trans(s318, s319))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25562,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s318, s319)) | trans(s318, s319))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25563,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s318, s319)) | trans(s318, s319)),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25562, 25561])).
% 17.25/12.11 tff(25564,plain,
% 17.25/12.11 (trans(s318, s319)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25563, 25560, 32])).
% 17.25/12.11 tff(25565,plain,
% 17.25/12.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s318, s319)) | node14(s318, s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s318, s319)) | node14(s318, s319))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25566,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s318, s319)) | node14(s318, s319))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25567,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s318, s319)) | node14(s318, s319)),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25566, 25565])).
% 17.25/12.11 tff(25568,plain,
% 17.25/12.11 (node14(s318, s319)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25567, 46, 25564])).
% 17.25/12.11 tff(25569,plain,
% 17.25/12.11 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s318, c_c2) | node9(s318) | node8(s318) | node10(s318) | node11(s318) | node12(s318) | node13(s318, s319) | (~node14(s318, s319)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s318, c_c2) | node9(s318) | node8(s318) | node10(s318) | node11(s318) | node12(s318) | node13(s318, s319) | (~node14(s318, s319)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25570,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s318, c_c2) | node9(s318) | node8(s318) | node10(s318) | node11(s318) | node12(s318) | node13(s318, s319) | (~node14(s318, s319)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25571,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s318, c_c2) | node9(s318) | node8(s318) | node10(s318) | node11(s318) | node12(s318) | node13(s318, s319) | (~node14(s318, s319))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25570, 25569])).
% 17.25/12.11 tff(25572,plain,
% 17.25/12.11 (m_main_v_state2(s318, c_c2) | node9(s318) | node8(s318) | node10(s318) | node11(s318) | node12(s318) | node13(s318, s319)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25571, 296, 25568])).
% 17.25/12.11 tff(25573,plain,
% 17.25/12.11 (node13(s318, s319)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25572, 25557, 25514, 25510, 25506, 25502, 25485])).
% 17.25/12.11 tff(25574,plain,
% 17.25/12.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25575,plain,
% 17.25/12.11 (((~node13(s318, s319)) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2))) <=> (m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25576,plain,
% 17.25/12.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s318, s319)) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, 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(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319))))),
% 17.25/12.11 inference(monotonicity,[status(thm)],[25575])).
% 17.25/12.11 tff(25577,plain,
% 17.25/12.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s318, s319)) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, 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(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319)))),
% 17.25/12.11 inference(transitivity,[status(thm)],[25576, 25574])).
% 17.25/12.11 tff(25578,plain,
% 17.25/12.11 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s318, s319)) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25579,plain,
% 17.25/12.11 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25578, 25577])).
% 17.25/12.11 tff(25580,plain,
% 17.25/12.11 (~m_main_v_state2(s319, c_n2)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25579, 311, 25498, 25573])).
% 17.25/12.11 tff(25581,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s319, c_n2) | (~node9(s319)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s319, c_n2) | (~node9(s319)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25582,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s319, c_n2) | (~node9(s319)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25583,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s319, c_n2) | (~node9(s319))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25582, 25581])).
% 17.25/12.11 tff(25584,plain,
% 17.25/12.11 (~node9(s319)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25583, 88, 25580])).
% 17.25/12.11 tff(25585,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s319, c_n2) | (~node10(s319)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s319, c_n2) | (~node10(s319)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25586,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s319, c_n2) | (~node10(s319)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25587,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s319, c_n2) | (~node10(s319))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25586, 25585])).
% 17.25/12.11 tff(25588,plain,
% 17.25/12.11 (~node10(s319)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25587, 249, 25580])).
% 17.25/12.11 tff(25589,plain,
% 17.25/12.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25590,plain,
% 17.25/12.11 (((~node13(s318, s319)) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2)) <=> ((~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25591,plain,
% 17.25/12.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s318, s319)) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, 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(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319))))),
% 17.25/12.11 inference(monotonicity,[status(thm)],[25590])).
% 17.25/12.11 tff(25592,plain,
% 17.25/12.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s318, s319)) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, 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(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319)))),
% 17.25/12.11 inference(transitivity,[status(thm)],[25591, 25589])).
% 17.25/12.11 tff(25593,plain,
% 17.25/12.11 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s318, s319)) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25594,plain,
% 17.25/12.11 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25593, 25592])).
% 17.25/12.11 tff(25595,plain,
% 17.25/12.11 (m_main_v_state2(s319, c_t2)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25594, 518, 25494, 25573])).
% 17.25/12.11 tff(25596,plain,
% 17.25/12.11 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s318, c_t1)) | (~m_main_v_state1(s318, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s318, c_t1)) | (~m_main_v_state1(s318, c_c1)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25597,plain,
% 17.25/12.11 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s318, c_t1)) | (~m_main_v_state1(s318, c_c1)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25598,plain,
% 17.25/12.11 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s318, c_t1)) | (~m_main_v_state1(s318, c_c1))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25597, 25596])).
% 17.25/12.11 tff(25599,plain,
% 17.25/12.11 (~m_main_v_state1(s318, c_t1)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25598, 539, 25549])).
% 17.25/12.11 tff(25600,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s318, c_t1) | (~node5(s318)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s318, c_t1) | (~node5(s318)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25601,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s318, c_t1) | (~node5(s318)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25602,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s318, c_t1) | (~node5(s318))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25601, 25600])).
% 17.25/12.11 tff(25603,plain,
% 17.25/12.11 (~node5(s318)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25602, 550, 25599])).
% 17.25/12.11 tff(25604,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s318, c_n2) | (~node4(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s318, c_n2) | (~node4(s318)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25605,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s318, c_n2) | (~node4(s318)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25606,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s318, c_n2) | (~node4(s318))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25605, 25604])).
% 17.25/12.11 tff(25607,plain,
% 17.25/12.11 (~node4(s318)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25606, 388, 25498])).
% 17.25/12.11 tff(25608,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s318, c_c2) | (~node3(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s318, c_c2) | (~node3(s318)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25609,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s318, c_c2) | (~node3(s318)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25610,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s318, c_c2) | (~node3(s318))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25609, 25608])).
% 17.25/12.11 tff(25611,plain,
% 17.25/12.11 (~node3(s318)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25610, 399, 25514])).
% 17.25/12.11 tff(25612,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s318, c_n2) | (~node2(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s318, c_n2) | (~node2(s318)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25613,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s318, c_n2) | (~node2(s318)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25614,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s318, c_n2) | (~node2(s318))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25613, 25612])).
% 17.25/12.11 tff(25615,plain,
% 17.25/12.11 (~node2(s318)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25614, 410, 25498])).
% 17.25/12.11 tff(25616,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s318, c_n1) | (~node1(s318)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s318, c_n1) | (~node1(s318)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25617,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s318, c_n1) | (~node1(s318)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25618,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s318, c_n1) | (~node1(s318))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25617, 25616])).
% 17.25/12.11 tff(25619,plain,
% 17.25/12.11 (~node1(s318)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25618, 421, 25553])).
% 17.25/12.11 tff(25620,plain,
% 17.25/12.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s318, s319)) | node7(s318, s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s318, s319)) | node7(s318, s319))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25621,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s318, s319)) | node7(s318, s319))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25622,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s318, s319)) | node7(s318, s319)),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25621, 25620])).
% 17.25/12.11 tff(25623,plain,
% 17.25/12.11 (node7(s318, s319)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25622, 206, 25564])).
% 17.25/12.11 tff(25624,plain,
% 17.25/12.11 (((~![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(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25625,plain,
% 17.25/12.11 (((~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)) | m_main_v_state1(s319, c_n1)) <=> (m_main_v_state1(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25626,plain,
% 17.25/12.11 (((~![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(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)) | m_main_v_state1(s319, 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(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319))))),
% 17.25/12.11 inference(monotonicity,[status(thm)],[25625])).
% 17.25/12.11 tff(25627,plain,
% 17.25/12.11 (((~![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(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)) | m_main_v_state1(s319, 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(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)))),
% 17.25/12.11 inference(transitivity,[status(thm)],[25626, 25624])).
% 17.25/12.11 tff(25628,plain,
% 17.25/12.11 ((~![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(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)) | m_main_v_state1(s319, c_n1))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25629,plain,
% 17.25/12.11 ((~![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(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25628, 25627])).
% 17.25/12.11 tff(25630,plain,
% 17.25/12.11 (m_main_v_state1(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25629, 584, 25623])).
% 17.25/12.11 tff(25631,plain,
% 17.25/12.11 (m_main_v_state1(s319, c_n1)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25630, 25619, 25549, 25615, 25611, 25607, 25603])).
% 17.25/12.11 tff(25632,plain,
% 17.25/12.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s319, c_n2) | (~node8(s319)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s319, c_n2) | (~node8(s319)))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25633,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s319, c_n2) | (~node8(s319)))),
% 17.25/12.11 inference(quant_inst,[status(thm)],[])).
% 17.25/12.11 tff(25634,plain,
% 17.25/12.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s319, c_n2) | (~node8(s319))),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25633, 25632])).
% 17.25/12.11 tff(25635,plain,
% 17.25/12.11 (~node8(s319)),
% 17.25/12.11 inference(unit_resolution,[status(thm)],[25634, 271, 25580])).
% 17.25/12.11 tff(25636,plain,
% 17.25/12.11 (succ(s319, s320) <=> succ(s319, s320)),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25637,axiom,(succ(s319, s320)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound320')).
% 17.25/12.11 tff(25638,plain,
% 17.25/12.11 (succ(s319, s320)),
% 17.25/12.11 inference(modus_ponens,[status(thm)],[25637, 25636])).
% 17.25/12.11 tff(25639,plain,
% 17.25/12.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s319, s320)) | trans(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s319, s320)) | trans(s319, s320))),
% 17.25/12.11 inference(rewrite,[status(thm)],[])).
% 17.25/12.11 tff(25640,plain,
% 17.25/12.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s319, s320)) | trans(s319, s320))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25641,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s319, s320)) | trans(s319, s320)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25640, 25639])).
% 17.25/12.12 tff(25642,plain,
% 17.25/12.12 (trans(s319, s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25641, 25638, 32])).
% 17.25/12.12 tff(25643,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s319, s320)) | node14(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s319, s320)) | node14(s319, s320))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25644,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s319, s320)) | node14(s319, s320))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25645,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s319, s320)) | node14(s319, s320)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25644, 25643])).
% 17.25/12.12 tff(25646,plain,
% 17.25/12.12 (node14(s319, s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25645, 46, 25642])).
% 17.25/12.12 tff(25647,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | node9(s319) | node8(s319) | node10(s319) | (~node14(s319, s320)) | m_main_v_state2(s320, 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(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | node9(s319) | node8(s319) | node10(s319) | (~node14(s319, s320)) | m_main_v_state2(s320, c_c2))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25648,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | node9(s319) | node8(s319) | node10(s319) | (~node14(s319, s320)) | m_main_v_state2(s320, c_c2))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25649,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | node9(s319) | node8(s319) | node10(s319) | (~node14(s319, s320)) | m_main_v_state2(s320, c_c2)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25648, 25647])).
% 17.25/12.12 tff(25650,plain,
% 17.25/12.12 ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | node9(s319) | node8(s319) | node10(s319) | m_main_v_state2(s320, c_c2)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25649, 617, 25646])).
% 17.25/12.12 tff(25651,plain,
% 17.25/12.12 (m_main_v_state2(s320, c_c2)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25650, 25635, 25631, 25595, 25588, 25584])).
% 17.25/12.12 tff(25652,plain,
% 17.25/12.12 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s320, c_t2)) | (~m_main_v_state2(s320, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s320, c_t2)) | (~m_main_v_state2(s320, c_c2)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25653,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s320, c_t2)) | (~m_main_v_state2(s320, c_c2)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25654,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s320, c_t2)) | (~m_main_v_state2(s320, c_c2))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25653, 25652])).
% 17.25/12.12 tff(25655,plain,
% 17.25/12.12 (~m_main_v_state2(s320, c_t2)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25654, 260, 25651])).
% 17.25/12.12 tff(25656,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s320, c_t2) | (~node12(s320)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s320, c_t2) | (~node12(s320)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25657,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s320, c_t2) | (~node12(s320)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25658,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s320, c_t2) | (~node12(s320))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25657, 25656])).
% 17.25/12.12 tff(25659,plain,
% 17.25/12.12 (~node12(s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25658, 633, 25655])).
% 17.25/12.12 tff(25660,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s319, s320)) | node7(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s319, s320)) | node7(s319, s320))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25661,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s319, s320)) | node7(s319, s320))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25662,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s319, s320)) | node7(s319, s320)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25661, 25660])).
% 17.25/12.12 tff(25663,plain,
% 17.25/12.12 (node7(s319, s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25662, 206, 25642])).
% 17.25/12.12 tff(25664,plain,
% 17.25/12.12 (((~![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(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node7(s319, s320)) | m_main_v_state1(s320, 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(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node7(s319, s320)) | m_main_v_state1(s320, c_t1))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25665,plain,
% 17.25/12.12 ((~![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(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node7(s319, s320)) | m_main_v_state1(s320, c_t1))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25666,plain,
% 17.25/12.12 ((~![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(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node7(s319, s320)) | m_main_v_state1(s320, c_t1)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25665, 25664])).
% 17.25/12.12 tff(25667,plain,
% 17.25/12.12 ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | m_main_v_state1(s320, c_t1)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25666, 651, 25663])).
% 17.25/12.12 tff(25668,plain,
% 17.25/12.12 (m_main_v_state1(s320, c_t1)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25667, 25595, 25631])).
% 17.25/12.12 tff(25669,plain,
% 17.25/12.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s320, c_n1)) | (~m_main_v_state1(s320, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s320, c_n1)) | (~m_main_v_state1(s320, c_t1)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25670,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s320, c_n1)) | (~m_main_v_state1(s320, c_t1)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25671,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s320, c_n1)) | (~m_main_v_state1(s320, c_t1))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25670, 25669])).
% 17.25/12.12 tff(25672,plain,
% 17.25/12.12 (~m_main_v_state1(s320, c_n1)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25671, 10, 25668])).
% 17.25/12.12 tff(25673,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s320, c_n1) | (~node11(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s320, c_n1) | (~node11(s320)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25674,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s320, c_n1) | (~node11(s320)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25675,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s320, c_n1) | (~node11(s320))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25674, 25673])).
% 17.25/12.12 tff(25676,plain,
% 17.25/12.12 (~node11(s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25675, 238, 25672])).
% 17.25/12.12 tff(25677,plain,
% 17.25/12.12 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s320, c_t1)) | (~m_main_v_state1(s320, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s320, c_t1)) | (~m_main_v_state1(s320, c_c1)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25678,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s320, c_t1)) | (~m_main_v_state1(s320, c_c1)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25679,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s320, c_t1)) | (~m_main_v_state1(s320, c_c1))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25678, 25677])).
% 17.25/12.12 tff(25680,plain,
% 17.25/12.12 (~m_main_v_state1(s320, c_c1)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25679, 539, 25668])).
% 17.25/12.12 tff(25681,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s320, c_c1) | (~node10(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s320, c_c1) | (~node10(s320)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25682,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s320, c_c1) | (~node10(s320)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25683,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s320, c_c1) | (~node10(s320))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25682, 25681])).
% 17.25/12.12 tff(25684,plain,
% 17.25/12.12 (~node10(s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25683, 675, 25680])).
% 17.25/12.12 tff(25685,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s320, c_n1) | (~node9(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s320, c_n1) | (~node9(s320)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25686,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s320, c_n1) | (~node9(s320)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25687,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s320, c_n1) | (~node9(s320))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25686, 25685])).
% 17.25/12.12 tff(25688,plain,
% 17.25/12.12 (~node9(s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25687, 686, 25672])).
% 17.25/12.12 tff(25689,plain,
% 17.25/12.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s320, c_n2)) | (~m_main_v_state2(s320, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s320, c_n2)) | (~m_main_v_state2(s320, c_c2)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25690,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s320, c_n2)) | (~m_main_v_state2(s320, c_c2)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25691,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s320, c_n2)) | (~m_main_v_state2(s320, c_c2))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25690, 25689])).
% 17.25/12.12 tff(25692,plain,
% 17.25/12.12 (~m_main_v_state2(s320, c_n2)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25691, 697, 25651])).
% 17.25/12.12 tff(25693,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s320, c_n2) | (~node8(s320)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s320, c_n2) | (~node8(s320)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25694,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s320, c_n2) | (~node8(s320)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25695,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s320, c_n2) | (~node8(s320))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25694, 25693])).
% 17.25/12.12 tff(25696,plain,
% 17.25/12.12 (~node8(s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25695, 271, 25692])).
% 17.25/12.12 tff(25697,plain,
% 17.25/12.12 (succ(s320, s321) <=> succ(s320, s321)),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25698,axiom,(succ(s320, s321)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound321')).
% 17.25/12.12 tff(25699,plain,
% 17.25/12.12 (succ(s320, s321)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25698, 25697])).
% 17.25/12.12 tff(25700,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s320, s321)) | trans(s320, s321))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s320, s321)) | trans(s320, s321))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25701,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s320, s321)) | trans(s320, s321))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25702,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s320, s321)) | trans(s320, s321)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25701, 25700])).
% 17.25/12.12 tff(25703,plain,
% 17.25/12.12 (trans(s320, s321)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25702, 25699, 32])).
% 17.25/12.12 tff(25704,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s320, s321)) | node14(s320, s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s320, s321)) | node14(s320, s321))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25705,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s320, s321)) | node14(s320, s321))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25706,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s320, s321)) | node14(s320, s321)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25705, 25704])).
% 17.25/12.12 tff(25707,plain,
% 17.25/12.12 (node14(s320, s321)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25706, 46, 25703])).
% 17.25/12.12 tff(25708,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, 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(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25709,plain,
% 17.25/12.12 (((~m_main_v_state2(s320, c_c2)) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | m_main_v_state2(s321, c_n2)) <=> (m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25710,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s320, c_c2)) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | m_main_v_state2(s321, 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(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2))))),
% 17.25/12.12 inference(monotonicity,[status(thm)],[25709])).
% 17.25/12.12 tff(25711,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s320, c_c2)) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | m_main_v_state2(s321, 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(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2)))),
% 17.25/12.12 inference(transitivity,[status(thm)],[25710, 25708])).
% 17.25/12.12 tff(25712,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s320, c_c2)) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | m_main_v_state2(s321, c_n2))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25713,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25712, 25711])).
% 17.25/12.12 tff(25714,plain,
% 17.25/12.12 (m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~m_main_v_state2(s320, c_c2))),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25713, 726, 25707])).
% 17.25/12.12 tff(25715,plain,
% 17.25/12.12 (m_main_v_state2(s321, c_n2)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25714, 25696, 25651, 25688, 25684, 25676, 25659])).
% 17.25/12.12 tff(25716,plain,
% 17.25/12.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_c2)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25717,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_c2)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25718,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_c2))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25717, 25716])).
% 17.25/12.12 tff(25719,plain,
% 17.25/12.12 (~m_main_v_state2(s321, c_c2)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25718, 697, 25715])).
% 17.25/12.12 tff(25720,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s321, c_c2) | (~node3(s321)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s321, c_c2) | (~node3(s321)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25721,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s321, c_c2) | (~node3(s321)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25722,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s321, c_c2) | (~node3(s321))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25721, 25720])).
% 17.25/12.12 tff(25723,plain,
% 17.25/12.12 (~node3(s321)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25722, 399, 25719])).
% 17.25/12.12 tff(25724,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s320, c_n1) | (~node1(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s320, c_n1) | (~node1(s320)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25725,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s320, c_n1) | (~node1(s320)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25726,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s320, c_n1) | (~node1(s320))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25725, 25724])).
% 17.25/12.12 tff(25727,plain,
% 17.25/12.12 (~node1(s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25726, 421, 25672])).
% 17.25/12.12 tff(25728,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s319, s320)) | node18(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s319, s320)) | node18(s319, s320))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25729,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s319, s320)) | node18(s319, s320))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25730,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s319, s320)) | node18(s319, s320)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25729, 25728])).
% 17.25/12.12 tff(25731,plain,
% 17.25/12.12 (node18(s319, s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25730, 125, 25642])).
% 17.25/12.12 tff(25732,plain,
% 17.25/12.12 (((~![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(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node18(s319, s320)) | m_main_v_turn(s320, 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(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node18(s319, s320)) | m_main_v_turn(s320, c_2))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25733,plain,
% 17.25/12.12 ((~![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(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node18(s319, s320)) | m_main_v_turn(s320, c_2))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25734,plain,
% 17.25/12.12 ((~![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(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node18(s319, s320)) | m_main_v_turn(s320, c_2)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25733, 25732])).
% 17.25/12.12 tff(25735,plain,
% 17.25/12.12 ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | m_main_v_turn(s320, c_2)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25734, 760, 25731])).
% 17.25/12.12 tff(25736,plain,
% 17.25/12.12 (m_main_v_turn(s320, c_2)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25735, 25595, 25631])).
% 17.25/12.12 tff(25737,plain,
% 17.25/12.12 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s320, c_1)) | (~m_main_v_turn(s320, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s320, c_1)) | (~m_main_v_turn(s320, c_2)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25738,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s320, c_1)) | (~m_main_v_turn(s320, c_2)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25739,plain,
% 17.25/12.12 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s320, c_1)) | (~m_main_v_turn(s320, c_2))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25738, 25737])).
% 17.25/12.12 tff(25740,plain,
% 17.25/12.12 (~m_main_v_turn(s320, c_1)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25739, 156, 25736])).
% 17.25/12.12 tff(25741,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s320, c_1) | (~node5(s320)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s320, c_1) | (~node5(s320)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25742,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s320, c_1) | (~node5(s320)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25743,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s320, c_1) | (~node5(s320))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25742, 25741])).
% 17.25/12.12 tff(25744,plain,
% 17.25/12.12 (~node5(s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25743, 776, 25740])).
% 17.25/12.12 tff(25745,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s320, c_n1) | (~node2(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s320, c_n1) | (~node2(s320)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25746,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s320, c_n1) | (~node2(s320)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25747,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s320, c_n1) | (~node2(s320))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25746, 25745])).
% 17.25/12.12 tff(25748,plain,
% 17.25/12.12 (~node2(s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25747, 787, 25672])).
% 17.25/12.12 tff(25749,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s320, c_n1) | (~node3(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s320, c_n1) | (~node3(s320)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25750,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s320, c_n1) | (~node3(s320)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25751,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s320, c_n1) | (~node3(s320))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25750, 25749])).
% 17.25/12.12 tff(25752,plain,
% 17.25/12.12 (~node3(s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25751, 798, 25672])).
% 17.25/12.12 tff(25753,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s320, c_n2) | (~node4(s320)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s320, c_n2) | (~node4(s320)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25754,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s320, c_n2) | (~node4(s320)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25755,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s320, c_n2) | (~node4(s320))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25754, 25753])).
% 17.25/12.12 tff(25756,plain,
% 17.25/12.12 (~node4(s320)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25755, 388, 25692])).
% 17.25/12.12 tff(25757,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s320, s321)) | node7(s320, s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s320, s321)) | node7(s320, s321))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25758,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s320, s321)) | node7(s320, s321))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25759,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s320, s321)) | node7(s320, s321)),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25758, 25757])).
% 17.25/12.12 tff(25760,plain,
% 17.25/12.12 (node7(s320, s321)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25759, 206, 25703])).
% 17.25/12.12 tff(25761,plain,
% 17.25/12.12 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s320, c_c1) | node1(s320) | node2(s320) | node3(s320) | node4(s320) | node5(s320) | node6(s320, s321) | (~node7(s320, s321)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s320, c_c1) | node1(s320) | node2(s320) | node3(s320) | node4(s320) | node5(s320) | node6(s320, s321) | (~node7(s320, s321)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25762,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s320, c_c1) | node1(s320) | node2(s320) | node3(s320) | node4(s320) | node5(s320) | node6(s320, s321) | (~node7(s320, s321)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25763,plain,
% 17.25/12.12 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s320, c_c1) | node1(s320) | node2(s320) | node3(s320) | node4(s320) | node5(s320) | node6(s320, s321) | (~node7(s320, s321))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25762, 25761])).
% 17.25/12.12 tff(25764,plain,
% 17.25/12.12 (m_main_v_state1(s320, c_c1) | node1(s320) | node2(s320) | node3(s320) | node4(s320) | node5(s320) | node6(s320, s321)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25763, 820, 25760])).
% 17.25/12.12 tff(25765,plain,
% 17.25/12.12 (node6(s320, s321)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25764, 25756, 25680, 25752, 25748, 25744, 25727])).
% 17.25/12.12 tff(25766,plain,
% 17.25/12.12 (((~![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(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25767,plain,
% 17.25/12.12 (((~node6(s320, s321)) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1))) <=> (m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25768,plain,
% 17.25/12.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s320, s321)) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, 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(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321))))),
% 17.25/12.12 inference(monotonicity,[status(thm)],[25767])).
% 17.25/12.12 tff(25769,plain,
% 17.25/12.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s320, s321)) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, 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(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321)))),
% 17.25/12.12 inference(transitivity,[status(thm)],[25768, 25766])).
% 17.25/12.12 tff(25770,plain,
% 17.25/12.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s320, s321)) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25771,plain,
% 17.25/12.12 ((~![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(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25770, 25769])).
% 17.25/12.12 tff(25772,plain,
% 17.25/12.12 (~m_main_v_state1(s321, c_n1)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25771, 835, 25672, 25765])).
% 17.25/12.12 tff(25773,plain,
% 17.25/12.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s321, c_n1) | (~node2(s321)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s321, c_n1) | (~node2(s321)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25774,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s321, c_n1) | (~node2(s321)))),
% 17.25/12.12 inference(quant_inst,[status(thm)],[])).
% 17.25/12.12 tff(25775,plain,
% 17.25/12.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s321, c_n1) | (~node2(s321))),
% 17.25/12.12 inference(modus_ponens,[status(thm)],[25774, 25773])).
% 17.25/12.12 tff(25776,plain,
% 17.25/12.12 (~node2(s321)),
% 17.25/12.12 inference(unit_resolution,[status(thm)],[25775, 787, 25772])).
% 17.25/12.12 tff(25777,plain,
% 17.25/12.12 (((~![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(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25778,plain,
% 17.25/12.12 (((~node6(s320, s321)) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1)) <=> ((~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321)))),
% 17.25/12.12 inference(rewrite,[status(thm)],[])).
% 17.25/12.12 tff(25779,plain,
% 17.25/12.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s320, s321)) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, 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(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321))))),
% 17.25/12.13 inference(monotonicity,[status(thm)],[25778])).
% 17.25/12.13 tff(25780,plain,
% 17.25/12.13 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s320, s321)) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, 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(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321)))),
% 17.25/12.13 inference(transitivity,[status(thm)],[25779, 25777])).
% 17.25/12.13 tff(25781,plain,
% 17.25/12.13 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s320, s321)) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25782,plain,
% 17.25/12.13 ((~![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(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25781, 25780])).
% 17.25/12.13 tff(25783,plain,
% 17.25/12.13 (m_main_v_state1(s321, c_t1)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25782, 856, 25668, 25765])).
% 17.25/12.13 tff(25784,plain,
% 17.25/12.13 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_t2)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25785,plain,
% 17.25/12.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_t2)))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25786,plain,
% 17.25/12.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_t2))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25785, 25784])).
% 17.25/12.13 tff(25787,plain,
% 17.25/12.13 (~m_main_v_state2(s321, c_t2)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25786, 77, 25715])).
% 17.25/12.13 tff(25788,plain,
% 17.25/12.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s321, c_t2) | (~node1(s321)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s321, c_t2) | (~node1(s321)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25789,plain,
% 17.25/12.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s321, c_t2) | (~node1(s321)))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25790,plain,
% 17.25/12.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s321, c_t2) | (~node1(s321))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25789, 25788])).
% 17.25/12.13 tff(25791,plain,
% 17.25/12.13 (~node1(s321)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25790, 195, 25787])).
% 17.25/12.13 tff(25792,plain,
% 17.25/12.13 (succ(s321, s322) <=> succ(s321, s322)),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25793,axiom,(succ(s321, s322)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound322')).
% 17.25/12.13 tff(25794,plain,
% 17.25/12.13 (succ(s321, s322)),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25793, 25792])).
% 17.25/12.13 tff(25795,plain,
% 17.25/12.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s321, s322)) | trans(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s321, s322)) | trans(s321, s322))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25796,plain,
% 17.25/12.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s321, s322)) | trans(s321, s322))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25797,plain,
% 17.25/12.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s321, s322)) | trans(s321, s322)),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25796, 25795])).
% 17.25/12.13 tff(25798,plain,
% 17.25/12.13 (trans(s321, s322)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25797, 25794, 32])).
% 17.25/12.13 tff(25799,plain,
% 17.25/12.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s321, s322)) | node7(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s321, s322)) | node7(s321, s322))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25800,plain,
% 17.25/12.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s321, s322)) | node7(s321, s322))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25801,plain,
% 17.25/12.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s321, s322)) | node7(s321, s322)),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25800, 25799])).
% 17.25/12.13 tff(25802,plain,
% 17.25/12.13 (node7(s321, s322)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25801, 206, 25798])).
% 17.25/12.13 tff(25803,plain,
% 17.25/12.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25804,plain,
% 17.25/12.13 (((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)) | m_main_v_state1(s322, c_c1)) <=> ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25805,plain,
% 17.25/12.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)) | m_main_v_state1(s322, 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(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322))))),
% 17.25/12.13 inference(monotonicity,[status(thm)],[25804])).
% 17.25/12.13 tff(25806,plain,
% 17.25/12.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)) | m_main_v_state1(s322, 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(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)))),
% 17.25/12.13 inference(transitivity,[status(thm)],[25805, 25803])).
% 17.25/12.13 tff(25807,plain,
% 17.25/12.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)) | m_main_v_state1(s322, c_c1))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25808,plain,
% 17.25/12.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25807, 25806])).
% 17.25/12.13 tff(25809,plain,
% 17.25/12.13 ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25808, 892, 25802])).
% 17.25/12.13 tff(25810,plain,
% 17.25/12.13 (m_main_v_state1(s322, c_c1)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25809, 25791, 25715, 25783, 25776, 25723])).
% 17.25/12.13 tff(25811,plain,
% 17.25/12.13 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s322, c_t1)) | (~m_main_v_state1(s322, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s322, c_t1)) | (~m_main_v_state1(s322, c_c1)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25812,plain,
% 17.25/12.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s322, c_t1)) | (~m_main_v_state1(s322, c_c1)))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25813,plain,
% 17.25/12.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s322, c_t1)) | (~m_main_v_state1(s322, c_c1))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25812, 25811])).
% 17.25/12.13 tff(25814,plain,
% 17.25/12.13 (~m_main_v_state1(s322, c_t1)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25813, 539, 25810])).
% 17.25/12.13 tff(25815,plain,
% 17.25/12.13 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s322, c_t1) | (~node5(s322)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s322, c_t1) | (~node5(s322)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25816,plain,
% 17.25/12.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s322, c_t1) | (~node5(s322)))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25817,plain,
% 17.25/12.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s322, c_t1) | (~node5(s322))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25816, 25815])).
% 17.25/12.13 tff(25818,plain,
% 17.25/12.13 (~node5(s322)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25817, 550, 25814])).
% 17.25/12.13 tff(25819,plain,
% 17.25/12.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s321, s322)) | node14(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s321, s322)) | node14(s321, s322))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25820,plain,
% 17.25/12.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s321, s322)) | node14(s321, s322))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25821,plain,
% 17.25/12.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s321, s322)) | node14(s321, s322)),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25820, 25819])).
% 17.25/12.13 tff(25822,plain,
% 17.25/12.13 (node14(s321, s322)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25821, 46, 25798])).
% 17.25/12.13 tff(25823,plain,
% 17.25/12.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | (~node14(s321, s322)) | m_main_v_state2(s322, 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(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | (~node14(s321, s322)) | m_main_v_state2(s322, c_t2))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25824,plain,
% 17.25/12.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | (~node14(s321, s322)) | m_main_v_state2(s322, c_t2))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25825,plain,
% 17.25/12.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | (~node14(s321, s322)) | m_main_v_state2(s322, c_t2)),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25824, 25823])).
% 17.25/12.13 tff(25826,plain,
% 17.25/12.13 ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state2(s322, c_t2)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25825, 922, 25822])).
% 17.25/12.13 tff(25827,plain,
% 17.25/12.13 (m_main_v_state2(s322, c_t2)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25826, 25783, 25715])).
% 17.25/12.13 tff(25828,plain,
% 17.25/12.13 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s322, c_n2)) | (~m_main_v_state2(s322, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s322, c_n2)) | (~m_main_v_state2(s322, c_t2)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25829,plain,
% 17.25/12.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s322, c_n2)) | (~m_main_v_state2(s322, c_t2)))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25830,plain,
% 17.25/12.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s322, c_n2)) | (~m_main_v_state2(s322, c_t2))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25829, 25828])).
% 17.25/12.13 tff(25831,plain,
% 17.25/12.13 (~m_main_v_state2(s322, c_n2)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25830, 77, 25827])).
% 17.25/12.13 tff(25832,plain,
% 17.25/12.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s322, c_n2) | (~node4(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s322, c_n2) | (~node4(s322)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25833,plain,
% 17.25/12.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s322, c_n2) | (~node4(s322)))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25834,plain,
% 17.25/12.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s322, c_n2) | (~node4(s322))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25833, 25832])).
% 17.25/12.13 tff(25835,plain,
% 17.25/12.13 (~node4(s322)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25834, 388, 25831])).
% 17.25/12.13 tff(25836,plain,
% 17.25/12.13 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s322, c_t2)) | (~m_main_v_state2(s322, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s322, c_t2)) | (~m_main_v_state2(s322, c_c2)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25837,plain,
% 17.25/12.13 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s322, c_t2)) | (~m_main_v_state2(s322, c_c2)))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25838,plain,
% 17.25/12.13 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s322, c_t2)) | (~m_main_v_state2(s322, c_c2))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25837, 25836])).
% 17.25/12.13 tff(25839,plain,
% 17.25/12.13 (~m_main_v_state2(s322, c_c2)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25838, 260, 25827])).
% 17.25/12.13 tff(25840,plain,
% 17.25/12.13 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s322, c_c2) | (~node3(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s322, c_c2) | (~node3(s322)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25841,plain,
% 17.25/12.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s322, c_c2) | (~node3(s322)))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25842,plain,
% 17.25/12.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s322, c_c2) | (~node3(s322))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25841, 25840])).
% 17.25/12.13 tff(25843,plain,
% 17.25/12.13 (~node3(s322)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25842, 399, 25839])).
% 17.25/12.13 tff(25844,plain,
% 17.25/12.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s322, c_n2) | (~node2(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s322, c_n2) | (~node2(s322)))),
% 17.25/12.13 inference(rewrite,[status(thm)],[])).
% 17.25/12.13 tff(25845,plain,
% 17.25/12.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s322, c_n2) | (~node2(s322)))),
% 17.25/12.13 inference(quant_inst,[status(thm)],[])).
% 17.25/12.13 tff(25846,plain,
% 17.25/12.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s322, c_n2) | (~node2(s322))),
% 17.25/12.13 inference(modus_ponens,[status(thm)],[25845, 25844])).
% 17.25/12.13 tff(25847,plain,
% 17.25/12.13 (~node2(s322)),
% 17.25/12.13 inference(unit_resolution,[status(thm)],[25846, 410, 25831])).
% 17.34/12.13 tff(25848,plain,
% 17.34/12.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s322, c_n1)) | (~m_main_v_state1(s322, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s322, c_n1)) | (~m_main_v_state1(s322, c_c1)))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25849,plain,
% 17.34/12.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s322, c_n1)) | (~m_main_v_state1(s322, c_c1)))),
% 17.34/12.13 inference(quant_inst,[status(thm)],[])).
% 17.34/12.13 tff(25850,plain,
% 17.34/12.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s322, c_n1)) | (~m_main_v_state1(s322, c_c1))),
% 17.34/12.13 inference(modus_ponens,[status(thm)],[25849, 25848])).
% 17.34/12.13 tff(25851,plain,
% 17.34/12.13 (~m_main_v_state1(s322, c_n1)),
% 17.34/12.13 inference(unit_resolution,[status(thm)],[25850, 454, 25810])).
% 17.34/12.13 tff(25852,plain,
% 17.34/12.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s322, c_n1) | (~node1(s322)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s322, c_n1) | (~node1(s322)))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25853,plain,
% 17.34/12.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s322, c_n1) | (~node1(s322)))),
% 17.34/12.13 inference(quant_inst,[status(thm)],[])).
% 17.34/12.13 tff(25854,plain,
% 17.34/12.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s322, c_n1) | (~node1(s322))),
% 17.34/12.13 inference(modus_ponens,[status(thm)],[25853, 25852])).
% 17.34/12.13 tff(25855,plain,
% 17.34/12.13 (~node1(s322)),
% 17.34/12.13 inference(unit_resolution,[status(thm)],[25854, 421, 25851])).
% 17.34/12.13 tff(25856,plain,
% 17.34/12.13 (succ(s322, s323) <=> succ(s322, s323)),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25857,axiom,(succ(s322, s323)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound323')).
% 17.34/12.13 tff(25858,plain,
% 17.34/12.13 (succ(s322, s323)),
% 17.34/12.13 inference(modus_ponens,[status(thm)],[25857, 25856])).
% 17.34/12.13 tff(25859,plain,
% 17.34/12.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s322, s323)) | trans(s322, s323))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s322, s323)) | trans(s322, s323))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25860,plain,
% 17.34/12.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s322, s323)) | trans(s322, s323))),
% 17.34/12.13 inference(quant_inst,[status(thm)],[])).
% 17.34/12.13 tff(25861,plain,
% 17.34/12.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s322, s323)) | trans(s322, s323)),
% 17.34/12.13 inference(modus_ponens,[status(thm)],[25860, 25859])).
% 17.34/12.13 tff(25862,plain,
% 17.34/12.13 (trans(s322, s323)),
% 17.34/12.13 inference(unit_resolution,[status(thm)],[25861, 25858, 32])).
% 17.34/12.13 tff(25863,plain,
% 17.34/12.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s322, s323)) | node7(s322, s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s322, s323)) | node7(s322, s323))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25864,plain,
% 17.34/12.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s322, s323)) | node7(s322, s323))),
% 17.34/12.13 inference(quant_inst,[status(thm)],[])).
% 17.34/12.13 tff(25865,plain,
% 17.34/12.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s322, s323)) | node7(s322, s323)),
% 17.34/12.13 inference(modus_ponens,[status(thm)],[25864, 25863])).
% 17.34/12.13 tff(25866,plain,
% 17.34/12.13 (node7(s322, s323)),
% 17.34/12.13 inference(unit_resolution,[status(thm)],[25865, 206, 25862])).
% 17.34/12.13 tff(25867,plain,
% 17.34/12.13 (((~![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(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25868,plain,
% 17.34/12.13 (((~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)) | m_main_v_state1(s323, c_n1)) <=> (m_main_v_state1(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25869,plain,
% 17.34/12.13 (((~![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(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)) | m_main_v_state1(s323, 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(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323))))),
% 17.34/12.13 inference(monotonicity,[status(thm)],[25868])).
% 17.34/12.13 tff(25870,plain,
% 17.34/12.13 (((~![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(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)) | m_main_v_state1(s323, 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(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)))),
% 17.34/12.13 inference(transitivity,[status(thm)],[25869, 25867])).
% 17.34/12.13 tff(25871,plain,
% 17.34/12.13 ((~![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(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)) | m_main_v_state1(s323, c_n1))),
% 17.34/12.13 inference(quant_inst,[status(thm)],[])).
% 17.34/12.13 tff(25872,plain,
% 17.34/12.13 ((~![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(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323))),
% 17.34/12.13 inference(modus_ponens,[status(thm)],[25871, 25870])).
% 17.34/12.13 tff(25873,plain,
% 17.34/12.13 (m_main_v_state1(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322)),
% 17.34/12.13 inference(unit_resolution,[status(thm)],[25872, 584, 25866])).
% 17.34/12.13 tff(25874,plain,
% 17.34/12.13 (m_main_v_state1(s323, c_n1)),
% 17.34/12.13 inference(unit_resolution,[status(thm)],[25873, 25855, 25810, 25847, 25843, 25835, 25818])).
% 17.34/12.13 tff(25875,plain,
% 17.34/12.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s321, c_t2) | (~node15(s321)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s321, c_t2) | (~node15(s321)))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25876,plain,
% 17.34/12.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s321, c_t2) | (~node15(s321)))),
% 17.34/12.13 inference(quant_inst,[status(thm)],[])).
% 17.34/12.13 tff(25877,plain,
% 17.34/12.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s321, c_t2) | (~node15(s321))),
% 17.34/12.13 inference(modus_ponens,[status(thm)],[25876, 25875])).
% 17.34/12.13 tff(25878,plain,
% 17.34/12.13 (~node15(s321)),
% 17.34/12.13 inference(unit_resolution,[status(thm)],[25877, 103, 25787])).
% 17.34/12.13 tff(25879,plain,
% 17.34/12.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s321, s322)) | node18(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s321, s322)) | node18(s321, s322))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25880,plain,
% 17.34/12.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s321, s322)) | node18(s321, s322))),
% 17.34/12.13 inference(quant_inst,[status(thm)],[])).
% 17.34/12.13 tff(25881,plain,
% 17.34/12.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s321, s322)) | node18(s321, s322)),
% 17.34/12.13 inference(modus_ponens,[status(thm)],[25880, 25879])).
% 17.34/12.13 tff(25882,plain,
% 17.34/12.13 (node18(s321, s322)),
% 17.34/12.13 inference(unit_resolution,[status(thm)],[25881, 125, 25798])).
% 17.34/12.13 tff(25883,plain,
% 17.34/12.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25884,plain,
% 17.34/12.13 (((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node15(s321) | (~node18(s321, s322)) | m_main_v_turn(s322, c_1)) <=> (node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25885,plain,
% 17.34/12.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node15(s321) | (~node18(s321, s322)) | m_main_v_turn(s322, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1)))),
% 17.34/12.13 inference(monotonicity,[status(thm)],[25884])).
% 17.34/12.13 tff(25886,plain,
% 17.34/12.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node15(s321) | (~node18(s321, s322)) | m_main_v_turn(s322, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1))),
% 17.34/12.13 inference(transitivity,[status(thm)],[25885, 25883])).
% 17.34/12.13 tff(25887,plain,
% 17.34/12.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node15(s321) | (~node18(s321, s322)) | m_main_v_turn(s322, c_1))),
% 17.34/12.13 inference(quant_inst,[status(thm)],[])).
% 17.34/12.13 tff(25888,plain,
% 17.34/12.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1)),
% 17.34/12.13 inference(modus_ponens,[status(thm)],[25887, 25886])).
% 17.34/12.13 tff(25889,plain,
% 17.34/12.13 (node15(s321) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1)),
% 17.34/12.13 inference(unit_resolution,[status(thm)],[25888, 992, 25882])).
% 17.34/12.13 tff(25890,plain,
% 17.34/12.13 (m_main_v_turn(s322, c_1)),
% 17.34/12.13 inference(unit_resolution,[status(thm)],[25889, 25878, 25715, 25783])).
% 17.34/12.13 tff(25891,plain,
% 17.34/12.13 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s322, c_1)) | (~m_main_v_turn(s322, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s322, c_1)) | (~m_main_v_turn(s322, c_2)))),
% 17.34/12.13 inference(rewrite,[status(thm)],[])).
% 17.34/12.13 tff(25892,plain,
% 17.34/12.13 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s322, c_1)) | (~m_main_v_turn(s322, c_2)))),
% 17.34/12.13 inference(quant_inst,[status(thm)],[])).
% 17.34/12.13 tff(25893,plain,
% 17.34/12.13 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s322, c_1)) | (~m_main_v_turn(s322, c_2))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25892, 25891])).
% 17.34/12.14 tff(25894,plain,
% 17.34/12.14 (~m_main_v_turn(s322, c_2)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25893, 156, 25890])).
% 17.34/12.14 tff(25895,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s322, c_2) | (~node12(s322)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s322, c_2) | (~node12(s322)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25896,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s322, c_2) | (~node12(s322)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25897,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s322, c_2) | (~node12(s322))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25896, 25895])).
% 17.34/12.14 tff(25898,plain,
% 17.34/12.14 (~node12(s322)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25897, 184, 25894])).
% 17.34/12.14 tff(25899,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s322, c_n2) | (~node8(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s322, c_n2) | (~node8(s322)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25900,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s322, c_n2) | (~node8(s322)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25901,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s322, c_n2) | (~node8(s322))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25900, 25899])).
% 17.34/12.14 tff(25902,plain,
% 17.34/12.14 (~node8(s322)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25901, 271, 25831])).
% 17.34/12.14 tff(25903,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s322, c_n2) | (~node9(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s322, c_n2) | (~node9(s322)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25904,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s322, c_n2) | (~node9(s322)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25905,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s322, c_n2) | (~node9(s322))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25904, 25903])).
% 17.34/12.14 tff(25906,plain,
% 17.34/12.14 (~node9(s322)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25905, 88, 25831])).
% 17.34/12.14 tff(25907,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s322, c_n2) | (~node10(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s322, c_n2) | (~node10(s322)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25908,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s322, c_n2) | (~node10(s322)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25909,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s322, c_n2) | (~node10(s322))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25908, 25907])).
% 17.34/12.14 tff(25910,plain,
% 17.34/12.14 (~node10(s322)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25909, 249, 25831])).
% 17.34/12.14 tff(25911,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s322, c_n1) | (~node11(s322)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s322, c_n1) | (~node11(s322)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25912,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s322, c_n1) | (~node11(s322)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25913,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s322, c_n1) | (~node11(s322))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25912, 25911])).
% 17.34/12.14 tff(25914,plain,
% 17.34/12.14 (~node11(s322)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25913, 238, 25851])).
% 17.34/12.14 tff(25915,plain,
% 17.34/12.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s322, s323)) | node14(s322, s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s322, s323)) | node14(s322, s323))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25916,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s322, s323)) | node14(s322, s323))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25917,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s322, s323)) | node14(s322, s323)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25916, 25915])).
% 17.34/12.14 tff(25918,plain,
% 17.34/12.14 (node14(s322, s323)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25917, 46, 25862])).
% 17.34/12.14 tff(25919,plain,
% 17.34/12.14 (((~![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(s322, c_c2) | node9(s322) | node8(s322) | node10(s322) | node11(s322) | node12(s322) | node13(s322, s323) | (~node14(s322, s323)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s322, c_c2) | node9(s322) | node8(s322) | node10(s322) | node11(s322) | node12(s322) | node13(s322, s323) | (~node14(s322, s323)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25920,plain,
% 17.34/12.14 ((~![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(s322, c_c2) | node9(s322) | node8(s322) | node10(s322) | node11(s322) | node12(s322) | node13(s322, s323) | (~node14(s322, s323)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25921,plain,
% 17.34/12.14 ((~![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(s322, c_c2) | node9(s322) | node8(s322) | node10(s322) | node11(s322) | node12(s322) | node13(s322, s323) | (~node14(s322, s323))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25920, 25919])).
% 17.34/12.14 tff(25922,plain,
% 17.34/12.14 (m_main_v_state2(s322, c_c2) | node9(s322) | node8(s322) | node10(s322) | node11(s322) | node12(s322) | node13(s322, s323)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25921, 296, 25918])).
% 17.34/12.14 tff(25923,plain,
% 17.34/12.14 (node13(s322, s323)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25922, 25914, 25839, 25910, 25906, 25902, 25898])).
% 17.34/12.14 tff(25924,plain,
% 17.34/12.14 (((~![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(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25925,plain,
% 17.34/12.14 (((~node13(s322, s323)) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2)) <=> ((~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25926,plain,
% 17.34/12.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s322, s323)) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, 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(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323))))),
% 17.34/12.14 inference(monotonicity,[status(thm)],[25925])).
% 17.34/12.14 tff(25927,plain,
% 17.34/12.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s322, s323)) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, 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(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323)))),
% 17.34/12.14 inference(transitivity,[status(thm)],[25926, 25924])).
% 17.34/12.14 tff(25928,plain,
% 17.34/12.14 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s322, s323)) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25929,plain,
% 17.34/12.14 ((~![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(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 17.34/12.14 tff(25930,plain,
% 17.34/12.14 (m_main_v_state2(s323, c_t2)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25929, 518, 25827, 25923])).
% 17.34/12.14 tff(25931,plain,
% 17.34/12.14 (succ(s323, s324) <=> succ(s323, s324)),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25932,axiom,(succ(s323, s324)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound324')).
% 17.34/12.14 tff(25933,plain,
% 17.34/12.14 (succ(s323, s324)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25932, 25931])).
% 17.34/12.14 tff(25934,plain,
% 17.34/12.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s323, s324)) | trans(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s323, s324)) | trans(s323, s324))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25935,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s323, s324)) | trans(s323, s324))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25936,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s323, s324)) | trans(s323, s324)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25935, 25934])).
% 17.34/12.14 tff(25937,plain,
% 17.34/12.14 (trans(s323, s324)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25936, 25933, 32])).
% 17.34/12.14 tff(25938,plain,
% 17.34/12.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s323, s324)) | node7(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s323, s324)) | node7(s323, s324))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25939,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s323, s324)) | node7(s323, s324))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25940,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s323, s324)) | node7(s323, s324)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25939, 25938])).
% 17.34/12.14 tff(25941,plain,
% 17.34/12.14 (node7(s323, s324)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25940, 206, 25937])).
% 17.34/12.14 tff(25942,plain,
% 17.34/12.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node7(s323, s324)) | m_main_v_state1(s324, 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(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node7(s323, s324)) | m_main_v_state1(s324, c_t1))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25943,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node7(s323, s324)) | m_main_v_state1(s324, c_t1))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25944,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node7(s323, s324)) | m_main_v_state1(s324, c_t1)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25943, 25942])).
% 17.34/12.14 tff(25945,plain,
% 17.34/12.14 ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | m_main_v_state1(s324, c_t1)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25944, 651, 25941])).
% 17.34/12.14 tff(25946,plain,
% 17.34/12.14 (m_main_v_state1(s324, c_t1)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25945, 25930, 25874])).
% 17.34/12.14 tff(25947,plain,
% 17.34/12.14 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s324, c_n1)) | (~m_main_v_state1(s324, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s324, c_n1)) | (~m_main_v_state1(s324, c_t1)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25948,plain,
% 17.34/12.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s324, c_n1)) | (~m_main_v_state1(s324, c_t1)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25949,plain,
% 17.34/12.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s324, c_n1)) | (~m_main_v_state1(s324, c_t1))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25948, 25947])).
% 17.34/12.14 tff(25950,plain,
% 17.34/12.14 (~m_main_v_state1(s324, c_n1)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25949, 10, 25946])).
% 17.34/12.14 tff(25951,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s324, c_n1) | (~node1(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s324, c_n1) | (~node1(s324)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25952,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s324, c_n1) | (~node1(s324)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25953,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s324, c_n1) | (~node1(s324))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25952, 25951])).
% 17.34/12.14 tff(25954,plain,
% 17.34/12.14 (~node1(s324)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25953, 421, 25950])).
% 17.34/12.14 tff(25955,plain,
% 17.34/12.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s323, s324)) | node18(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s323, s324)) | node18(s323, s324))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25956,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s323, s324)) | node18(s323, s324))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25957,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s323, s324)) | node18(s323, s324)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25956, 25955])).
% 17.34/12.14 tff(25958,plain,
% 17.34/12.14 (node18(s323, s324)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25957, 125, 25937])).
% 17.34/12.14 tff(25959,plain,
% 17.34/12.14 (((~![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(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node18(s323, s324)) | m_main_v_turn(s324, 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(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node18(s323, s324)) | m_main_v_turn(s324, c_2))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25960,plain,
% 17.34/12.14 ((~![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(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node18(s323, s324)) | m_main_v_turn(s324, c_2))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25961,plain,
% 17.34/12.14 ((~![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(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node18(s323, s324)) | m_main_v_turn(s324, c_2)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25960, 25959])).
% 17.34/12.14 tff(25962,plain,
% 17.34/12.14 ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | m_main_v_turn(s324, c_2)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25961, 760, 25958])).
% 17.34/12.14 tff(25963,plain,
% 17.34/12.14 (m_main_v_turn(s324, c_2)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25962, 25930, 25874])).
% 17.34/12.14 tff(25964,plain,
% 17.34/12.14 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s324, c_1)) | (~m_main_v_turn(s324, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s324, c_1)) | (~m_main_v_turn(s324, c_2)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25965,plain,
% 17.34/12.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s324, c_1)) | (~m_main_v_turn(s324, c_2)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25966,plain,
% 17.34/12.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s324, c_1)) | (~m_main_v_turn(s324, c_2))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25965, 25964])).
% 17.34/12.14 tff(25967,plain,
% 17.34/12.14 (~m_main_v_turn(s324, c_1)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25966, 156, 25963])).
% 17.34/12.14 tff(25968,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s324, c_1) | (~node5(s324)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s324, c_1) | (~node5(s324)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25969,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s324, c_1) | (~node5(s324)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25970,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s324, c_1) | (~node5(s324))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25969, 25968])).
% 17.34/12.14 tff(25971,plain,
% 17.34/12.14 (~node5(s324)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25970, 776, 25967])).
% 17.34/12.14 tff(25972,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s324, c_n1) | (~node2(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s324, c_n1) | (~node2(s324)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25973,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s324, c_n1) | (~node2(s324)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25974,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s324, c_n1) | (~node2(s324))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25973, 25972])).
% 17.34/12.14 tff(25975,plain,
% 17.34/12.14 (~node2(s324)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25974, 787, 25950])).
% 17.34/12.14 tff(25976,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s324, c_n1) | (~node3(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s324, c_n1) | (~node3(s324)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25977,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s324, c_n1) | (~node3(s324)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25978,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s324, c_n1) | (~node3(s324))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25977, 25976])).
% 17.34/12.14 tff(25979,plain,
% 17.34/12.14 (~node3(s324)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25978, 798, 25950])).
% 17.34/12.14 tff(25980,plain,
% 17.34/12.14 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s324, c_t1)) | (~m_main_v_state1(s324, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s324, c_t1)) | (~m_main_v_state1(s324, c_c1)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25981,plain,
% 17.34/12.14 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s324, c_t1)) | (~m_main_v_state1(s324, c_c1)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25982,plain,
% 17.34/12.14 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s324, c_t1)) | (~m_main_v_state1(s324, c_c1))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25981, 25980])).
% 17.34/12.14 tff(25983,plain,
% 17.34/12.14 (~m_main_v_state1(s324, c_c1)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25982, 539, 25946])).
% 17.34/12.14 tff(25984,plain,
% 17.34/12.14 (((~![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(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25985,plain,
% 17.34/12.14 (((~node13(s322, s323)) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2))) <=> (m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25986,plain,
% 17.34/12.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s322, s323)) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, 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(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323))))),
% 17.34/12.14 inference(monotonicity,[status(thm)],[25985])).
% 17.34/12.14 tff(25987,plain,
% 17.34/12.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s322, s323)) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, 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(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323)))),
% 17.34/12.14 inference(transitivity,[status(thm)],[25986, 25984])).
% 17.34/12.14 tff(25988,plain,
% 17.34/12.14 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s322, s323)) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25989,plain,
% 17.34/12.14 ((~![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(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25988, 25987])).
% 17.34/12.14 tff(25990,plain,
% 17.34/12.14 (~m_main_v_state2(s323, c_n2)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25989, 311, 25831, 25923])).
% 17.34/12.14 tff(25991,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s323, c_n2) | (~node9(s323)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s323, c_n2) | (~node9(s323)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25992,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s323, c_n2) | (~node9(s323)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25993,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s323, c_n2) | (~node9(s323))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25992, 25991])).
% 17.34/12.14 tff(25994,plain,
% 17.34/12.14 (~node9(s323)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25993, 88, 25990])).
% 17.34/12.14 tff(25995,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s323, c_n2) | (~node10(s323)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s323, c_n2) | (~node10(s323)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(25996,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s323, c_n2) | (~node10(s323)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(25997,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s323, c_n2) | (~node10(s323))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[25996, 25995])).
% 17.34/12.14 tff(25998,plain,
% 17.34/12.14 (~node10(s323)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[25997, 249, 25990])).
% 17.34/12.14 tff(25999,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s323, c_n2) | (~node8(s323)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s323, c_n2) | (~node8(s323)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26000,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s323, c_n2) | (~node8(s323)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(26001,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s323, c_n2) | (~node8(s323))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[26000, 25999])).
% 17.34/12.14 tff(26002,plain,
% 17.34/12.14 (~node8(s323)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[26001, 271, 25990])).
% 17.34/12.14 tff(26003,plain,
% 17.34/12.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s323, s324)) | node14(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s323, s324)) | node14(s323, s324))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26004,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s323, s324)) | node14(s323, s324))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(26005,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s323, s324)) | node14(s323, s324)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[26004, 26003])).
% 17.34/12.14 tff(26006,plain,
% 17.34/12.14 (node14(s323, s324)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[26005, 46, 25937])).
% 17.34/12.14 tff(26007,plain,
% 17.34/12.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | node9(s323) | node8(s323) | node10(s323) | (~node14(s323, s324)) | m_main_v_state2(s324, 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(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | node9(s323) | node8(s323) | node10(s323) | (~node14(s323, s324)) | m_main_v_state2(s324, c_c2))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26008,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | node9(s323) | node8(s323) | node10(s323) | (~node14(s323, s324)) | m_main_v_state2(s324, c_c2))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(26009,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | node9(s323) | node8(s323) | node10(s323) | (~node14(s323, s324)) | m_main_v_state2(s324, c_c2)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[26008, 26007])).
% 17.34/12.14 tff(26010,plain,
% 17.34/12.14 ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | node9(s323) | node8(s323) | node10(s323) | m_main_v_state2(s324, c_c2)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[26009, 617, 26006])).
% 17.34/12.14 tff(26011,plain,
% 17.34/12.14 (m_main_v_state2(s324, c_c2)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[26010, 26002, 25874, 25930, 25998, 25994])).
% 17.34/12.14 tff(26012,plain,
% 17.34/12.14 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s324, c_n2)) | (~m_main_v_state2(s324, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s324, c_n2)) | (~m_main_v_state2(s324, c_c2)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26013,plain,
% 17.34/12.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s324, c_n2)) | (~m_main_v_state2(s324, c_c2)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(26014,plain,
% 17.34/12.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s324, c_n2)) | (~m_main_v_state2(s324, c_c2))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[26013, 26012])).
% 17.34/12.14 tff(26015,plain,
% 17.34/12.14 (~m_main_v_state2(s324, c_n2)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[26014, 697, 26011])).
% 17.34/12.14 tff(26016,plain,
% 17.34/12.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s324, c_n2) | (~node4(s324)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s324, c_n2) | (~node4(s324)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26017,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s324, c_n2) | (~node4(s324)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(26018,plain,
% 17.34/12.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s324, c_n2) | (~node4(s324))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 17.34/12.14 tff(26019,plain,
% 17.34/12.14 (~node4(s324)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[26018, 388, 26015])).
% 17.34/12.14 tff(26020,plain,
% 17.34/12.14 (succ(s324, s325) <=> succ(s324, s325)),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26021,axiom,(succ(s324, s325)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound325')).
% 17.34/12.14 tff(26022,plain,
% 17.34/12.14 (succ(s324, s325)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[26021, 26020])).
% 17.34/12.14 tff(26023,plain,
% 17.34/12.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s324, s325)) | trans(s324, s325))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s324, s325)) | trans(s324, s325))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26024,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s324, s325)) | trans(s324, s325))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(26025,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s324, s325)) | trans(s324, s325)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[26024, 26023])).
% 17.34/12.14 tff(26026,plain,
% 17.34/12.14 (trans(s324, s325)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[26025, 26022, 32])).
% 17.34/12.14 tff(26027,plain,
% 17.34/12.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s324, s325)) | node7(s324, s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s324, s325)) | node7(s324, s325))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26028,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s324, s325)) | node7(s324, s325))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(26029,plain,
% 17.34/12.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s324, s325)) | node7(s324, s325)),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[26028, 26027])).
% 17.34/12.14 tff(26030,plain,
% 17.34/12.14 (node7(s324, s325)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[26029, 206, 26026])).
% 17.34/12.14 tff(26031,plain,
% 17.34/12.14 (((~![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(s324, c_c1) | node1(s324) | node2(s324) | node3(s324) | node4(s324) | node5(s324) | node6(s324, s325) | (~node7(s324, s325)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s324, c_c1) | node1(s324) | node2(s324) | node3(s324) | node4(s324) | node5(s324) | node6(s324, s325) | (~node7(s324, s325)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26032,plain,
% 17.34/12.14 ((~![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(s324, c_c1) | node1(s324) | node2(s324) | node3(s324) | node4(s324) | node5(s324) | node6(s324, s325) | (~node7(s324, s325)))),
% 17.34/12.14 inference(quant_inst,[status(thm)],[])).
% 17.34/12.14 tff(26033,plain,
% 17.34/12.14 ((~![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(s324, c_c1) | node1(s324) | node2(s324) | node3(s324) | node4(s324) | node5(s324) | node6(s324, s325) | (~node7(s324, s325))),
% 17.34/12.14 inference(modus_ponens,[status(thm)],[26032, 26031])).
% 17.34/12.14 tff(26034,plain,
% 17.34/12.14 (m_main_v_state1(s324, c_c1) | node1(s324) | node2(s324) | node3(s324) | node4(s324) | node5(s324) | node6(s324, s325)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[26033, 820, 26030])).
% 17.34/12.14 tff(26035,plain,
% 17.34/12.14 (node6(s324, s325)),
% 17.34/12.14 inference(unit_resolution,[status(thm)],[26034, 26019, 25983, 25979, 25975, 25971, 25954])).
% 17.34/12.14 tff(26036,plain,
% 17.34/12.14 (((~![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(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26037,plain,
% 17.34/12.14 (((~node6(s324, s325)) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1)) <=> ((~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325)))),
% 17.34/12.14 inference(rewrite,[status(thm)],[])).
% 17.34/12.14 tff(26038,plain,
% 17.34/12.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s324, s325)) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, 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(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325))))),
% 17.34/12.15 inference(monotonicity,[status(thm)],[26037])).
% 17.34/12.15 tff(26039,plain,
% 17.34/12.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s324, s325)) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, 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(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325)))),
% 17.34/12.15 inference(transitivity,[status(thm)],[26038, 26036])).
% 17.34/12.15 tff(26040,plain,
% 17.34/12.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s324, s325)) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26041,plain,
% 17.34/12.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26040, 26039])).
% 17.34/12.15 tff(26042,plain,
% 17.34/12.15 (m_main_v_state1(s325, c_t1)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26041, 856, 25946, 26035])).
% 17.34/12.15 tff(26043,plain,
% 17.34/12.15 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s324, c_t2)) | (~m_main_v_state2(s324, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s324, c_t2)) | (~m_main_v_state2(s324, c_c2)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26044,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s324, c_t2)) | (~m_main_v_state2(s324, c_c2)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26045,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s324, c_t2)) | (~m_main_v_state2(s324, c_c2))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26044, 26043])).
% 17.34/12.15 tff(26046,plain,
% 17.34/12.15 (~m_main_v_state2(s324, c_t2)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26045, 260, 26011])).
% 17.34/12.15 tff(26047,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s324, c_t2) | (~node12(s324)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s324, c_t2) | (~node12(s324)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26048,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s324, c_t2) | (~node12(s324)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26049,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s324, c_t2) | (~node12(s324))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26048, 26047])).
% 17.34/12.15 tff(26050,plain,
% 17.34/12.15 (~node12(s324)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26049, 633, 26046])).
% 17.34/12.15 tff(26051,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s324, c_n1) | (~node11(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s324, c_n1) | (~node11(s324)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26052,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s324, c_n1) | (~node11(s324)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26053,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s324, c_n1) | (~node11(s324))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26052, 26051])).
% 17.34/12.15 tff(26054,plain,
% 17.34/12.15 (~node11(s324)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26053, 238, 25950])).
% 17.34/12.15 tff(26055,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s324, c_c1) | (~node10(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s324, c_c1) | (~node10(s324)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26056,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s324, c_c1) | (~node10(s324)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26057,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s324, c_c1) | (~node10(s324))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26056, 26055])).
% 17.34/12.15 tff(26058,plain,
% 17.34/12.15 (~node10(s324)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26057, 675, 25983])).
% 17.34/12.15 tff(26059,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s324, c_n1) | (~node9(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s324, c_n1) | (~node9(s324)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26060,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s324, c_n1) | (~node9(s324)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26061,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s324, c_n1) | (~node9(s324))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26060, 26059])).
% 17.34/12.15 tff(26062,plain,
% 17.34/12.15 (~node9(s324)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26061, 686, 25950])).
% 17.34/12.15 tff(26063,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s324, c_n2) | (~node8(s324)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s324, c_n2) | (~node8(s324)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26064,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s324, c_n2) | (~node8(s324)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26065,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s324, c_n2) | (~node8(s324))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26064, 26063])).
% 17.34/12.15 tff(26066,plain,
% 17.34/12.15 (~node8(s324)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26065, 271, 26015])).
% 17.34/12.15 tff(26067,plain,
% 17.34/12.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s324, s325)) | node14(s324, s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s324, s325)) | node14(s324, s325))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26068,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s324, s325)) | node14(s324, s325))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26069,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s324, s325)) | node14(s324, s325)),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26068, 26067])).
% 17.34/12.15 tff(26070,plain,
% 17.34/12.15 (node14(s324, s325)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26069, 46, 26026])).
% 17.34/12.15 tff(26071,plain,
% 17.34/12.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, 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(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26072,plain,
% 17.34/12.15 (((~m_main_v_state2(s324, c_c2)) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | m_main_v_state2(s325, c_n2)) <=> (m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26073,plain,
% 17.34/12.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s324, c_c2)) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | m_main_v_state2(s325, 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(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2))))),
% 17.34/12.15 inference(monotonicity,[status(thm)],[26072])).
% 17.34/12.15 tff(26074,plain,
% 17.34/12.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s324, c_c2)) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | m_main_v_state2(s325, 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(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2)))),
% 17.34/12.15 inference(transitivity,[status(thm)],[26073, 26071])).
% 17.34/12.15 tff(26075,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s324, c_c2)) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | m_main_v_state2(s325, c_n2))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26076,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26075, 26074])).
% 17.34/12.15 tff(26077,plain,
% 17.34/12.15 (m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~m_main_v_state2(s324, c_c2))),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26076, 726, 26070])).
% 17.34/12.15 tff(26078,plain,
% 17.34/12.15 (m_main_v_state2(s325, c_n2)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26077, 26066, 26011, 26062, 26058, 26054, 26050])).
% 17.34/12.15 tff(26079,plain,
% 17.34/12.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_t2)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26080,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_t2)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26081,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_t2))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26080, 26079])).
% 17.34/12.15 tff(26082,plain,
% 17.34/12.15 (~m_main_v_state2(s325, c_t2)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26081, 77, 26078])).
% 17.34/12.15 tff(26083,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s325, c_t2) | (~node15(s325)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s325, c_t2) | (~node15(s325)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26084,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s325, c_t2) | (~node15(s325)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26085,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s325, c_t2) | (~node15(s325))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26084, 26083])).
% 17.34/12.15 tff(26086,plain,
% 17.34/12.15 (~node15(s325)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26085, 103, 26082])).
% 17.34/12.15 tff(26087,plain,
% 17.34/12.15 (succ(s325, s326) <=> succ(s325, s326)),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26088,axiom,(succ(s325, s326)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound326')).
% 17.34/12.15 tff(26089,plain,
% 17.34/12.15 (succ(s325, s326)),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26088, 26087])).
% 17.34/12.15 tff(26090,plain,
% 17.34/12.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s325, s326)) | trans(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s325, s326)) | trans(s325, s326))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26091,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s325, s326)) | trans(s325, s326))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26092,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s325, s326)) | trans(s325, s326)),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26091, 26090])).
% 17.34/12.15 tff(26093,plain,
% 17.34/12.15 (trans(s325, s326)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26092, 26089, 32])).
% 17.34/12.15 tff(26094,plain,
% 17.34/12.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s325, s326)) | node18(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s325, s326)) | node18(s325, s326))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26095,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s325, s326)) | node18(s325, s326))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26096,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s325, s326)) | node18(s325, s326)),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26095, 26094])).
% 17.34/12.15 tff(26097,plain,
% 17.34/12.15 (node18(s325, s326)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26096, 125, 26093])).
% 17.34/12.15 tff(26098,plain,
% 17.34/12.15 (((~![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(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26099,plain,
% 17.34/12.15 (((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node15(s325) | (~node18(s325, s326)) | m_main_v_turn(s326, c_1)) <=> (node15(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26100,plain,
% 17.34/12.15 (((~![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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node15(s325) | (~node18(s325, s326)) | m_main_v_turn(s326, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1)))),
% 17.34/12.15 inference(monotonicity,[status(thm)],[26099])).
% 17.34/12.15 tff(26101,plain,
% 17.34/12.15 (((~![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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node15(s325) | (~node18(s325, s326)) | m_main_v_turn(s326, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1))),
% 17.34/12.15 inference(transitivity,[status(thm)],[26100, 26098])).
% 17.34/12.15 tff(26102,plain,
% 17.34/12.15 ((~![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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node15(s325) | (~node18(s325, s326)) | m_main_v_turn(s326, c_1))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26103,plain,
% 17.34/12.15 ((~![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(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1)),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26102, 26101])).
% 17.34/12.15 tff(26104,plain,
% 17.34/12.15 (node15(s325) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26103, 992, 26097])).
% 17.34/12.15 tff(26105,plain,
% 17.34/12.15 (m_main_v_turn(s326, c_1)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26104, 26086, 26078, 26042])).
% 17.34/12.15 tff(26106,plain,
% 17.34/12.15 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s326, c_1)) | (~m_main_v_turn(s326, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s326, c_1)) | (~m_main_v_turn(s326, c_2)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26107,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s326, c_1)) | (~m_main_v_turn(s326, c_2)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26108,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s326, c_1)) | (~m_main_v_turn(s326, c_2))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26107, 26106])).
% 17.34/12.15 tff(26109,plain,
% 17.34/12.15 (~m_main_v_turn(s326, c_2)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26108, 156, 26105])).
% 17.34/12.15 tff(26110,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s326, c_2) | (~node12(s326)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s326, c_2) | (~node12(s326)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26111,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s326, c_2) | (~node12(s326)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26112,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s326, c_2) | (~node12(s326))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26111, 26110])).
% 17.34/12.15 tff(26113,plain,
% 17.34/12.15 (~node12(s326)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26112, 184, 26109])).
% 17.34/12.15 tff(26114,plain,
% 17.34/12.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s325, s326)) | node14(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s325, s326)) | node14(s325, s326))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26115,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s325, s326)) | node14(s325, s326))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26116,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s325, s326)) | node14(s325, s326)),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26115, 26114])).
% 17.34/12.15 tff(26117,plain,
% 17.34/12.15 (node14(s325, s326)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26116, 46, 26093])).
% 17.34/12.15 tff(26118,plain,
% 17.34/12.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | (~node14(s325, s326)) | m_main_v_state2(s326, 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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | (~node14(s325, s326)) | m_main_v_state2(s326, c_t2))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26119,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | (~node14(s325, s326)) | m_main_v_state2(s326, c_t2))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26120,plain,
% 17.34/12.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | (~node14(s325, s326)) | m_main_v_state2(s326, c_t2)),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26119, 26118])).
% 17.34/12.15 tff(26121,plain,
% 17.34/12.15 ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state2(s326, c_t2)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26120, 922, 26117])).
% 17.34/12.15 tff(26122,plain,
% 17.34/12.15 (m_main_v_state2(s326, c_t2)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26121, 26042, 26078])).
% 17.34/12.15 tff(26123,plain,
% 17.34/12.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s326, c_n2)) | (~m_main_v_state2(s326, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s326, c_n2)) | (~m_main_v_state2(s326, c_t2)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26124,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s326, c_n2)) | (~m_main_v_state2(s326, c_t2)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26125,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s326, c_n2)) | (~m_main_v_state2(s326, c_t2))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26124, 26123])).
% 17.34/12.15 tff(26126,plain,
% 17.34/12.15 (~m_main_v_state2(s326, c_n2)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26125, 77, 26122])).
% 17.34/12.15 tff(26127,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s326, c_n2) | (~node8(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s326, c_n2) | (~node8(s326)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26128,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s326, c_n2) | (~node8(s326)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26129,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s326, c_n2) | (~node8(s326))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26128, 26127])).
% 17.34/12.15 tff(26130,plain,
% 17.34/12.15 (~node8(s326)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26129, 271, 26126])).
% 17.34/12.15 tff(26131,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s326, c_n2) | (~node9(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s326, c_n2) | (~node9(s326)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26132,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s326, c_n2) | (~node9(s326)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26133,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s326, c_n2) | (~node9(s326))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26132, 26131])).
% 17.34/12.15 tff(26134,plain,
% 17.34/12.15 (~node9(s326)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26133, 88, 26126])).
% 17.34/12.15 tff(26135,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s326, c_n2) | (~node10(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s326, c_n2) | (~node10(s326)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26136,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s326, c_n2) | (~node10(s326)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26137,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s326, c_n2) | (~node10(s326))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26136, 26135])).
% 17.34/12.15 tff(26138,plain,
% 17.34/12.15 (~node10(s326)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26137, 249, 26126])).
% 17.34/12.15 tff(26139,plain,
% 17.34/12.15 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s326, c_t2)) | (~m_main_v_state2(s326, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s326, c_t2)) | (~m_main_v_state2(s326, c_c2)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26140,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s326, c_t2)) | (~m_main_v_state2(s326, c_c2)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26141,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s326, c_t2)) | (~m_main_v_state2(s326, c_c2))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26140, 26139])).
% 17.34/12.15 tff(26142,plain,
% 17.34/12.15 (~m_main_v_state2(s326, c_c2)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26141, 260, 26122])).
% 17.34/12.15 tff(26143,plain,
% 17.34/12.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_c2)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26144,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_c2)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26145,plain,
% 17.34/12.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_c2))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26144, 26143])).
% 17.34/12.15 tff(26146,plain,
% 17.34/12.15 (~m_main_v_state2(s325, c_c2)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26145, 697, 26078])).
% 17.34/12.15 tff(26147,plain,
% 17.34/12.15 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s325, c_c2) | (~node3(s325)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s325, c_c2) | (~node3(s325)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26148,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s325, c_c2) | (~node3(s325)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26149,plain,
% 17.34/12.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s325, c_c2) | (~node3(s325))),
% 17.34/12.15 inference(modus_ponens,[status(thm)],[26148, 26147])).
% 17.34/12.15 tff(26150,plain,
% 17.34/12.15 (~node3(s325)),
% 17.34/12.15 inference(unit_resolution,[status(thm)],[26149, 399, 26146])).
% 17.34/12.15 tff(26151,plain,
% 17.34/12.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26152,plain,
% 17.34/12.15 (((~node6(s324, s325)) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1))) <=> (m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325)))),
% 17.34/12.15 inference(rewrite,[status(thm)],[])).
% 17.34/12.15 tff(26153,plain,
% 17.34/12.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s324, s325)) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, 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(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325))))),
% 17.34/12.15 inference(monotonicity,[status(thm)],[26152])).
% 17.34/12.15 tff(26154,plain,
% 17.34/12.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s324, s325)) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, 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(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325)))),
% 17.34/12.15 inference(transitivity,[status(thm)],[26153, 26151])).
% 17.34/12.15 tff(26155,plain,
% 17.34/12.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s324, s325)) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)))),
% 17.34/12.15 inference(quant_inst,[status(thm)],[])).
% 17.34/12.15 tff(26156,plain,
% 17.34/12.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26155, 26154])).
% 17.34/12.16 tff(26157,plain,
% 17.34/12.16 (~m_main_v_state1(s325, c_n1)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26156, 835, 25950, 26035])).
% 17.34/12.16 tff(26158,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s325, c_n1) | (~node2(s325)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s325, c_n1) | (~node2(s325)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26159,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s325, c_n1) | (~node2(s325)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26160,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s325, c_n1) | (~node2(s325))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26159, 26158])).
% 17.34/12.16 tff(26161,plain,
% 17.34/12.16 (~node2(s325)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26160, 787, 26157])).
% 17.34/12.16 tff(26162,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s325, c_t2) | (~node1(s325)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s325, c_t2) | (~node1(s325)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26163,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s325, c_t2) | (~node1(s325)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26164,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s325, c_t2) | (~node1(s325))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26163, 26162])).
% 17.34/12.16 tff(26165,plain,
% 17.34/12.16 (~node1(s325)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26164, 195, 26082])).
% 17.34/12.16 tff(26166,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s325, s326)) | node7(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s325, s326)) | node7(s325, s326))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26167,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s325, s326)) | node7(s325, s326))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26168,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s325, s326)) | node7(s325, s326)),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26167, 26166])).
% 17.34/12.16 tff(26169,plain,
% 17.34/12.16 (node7(s325, s326)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26168, 206, 26093])).
% 17.34/12.16 tff(26170,plain,
% 17.34/12.16 (((~![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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26171,plain,
% 17.34/12.16 (((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)) | m_main_v_state1(s326, c_c1)) <=> ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26172,plain,
% 17.34/12.16 (((~![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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)) | m_main_v_state1(s326, 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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326))))),
% 17.34/12.16 inference(monotonicity,[status(thm)],[26171])).
% 17.34/12.16 tff(26173,plain,
% 17.34/12.16 (((~![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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)) | m_main_v_state1(s326, 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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)))),
% 17.34/12.16 inference(transitivity,[status(thm)],[26172, 26170])).
% 17.34/12.16 tff(26174,plain,
% 17.34/12.16 ((~![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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)) | m_main_v_state1(s326, c_c1))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26175,plain,
% 17.34/12.16 ((~![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(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26174, 26173])).
% 17.34/12.16 tff(26176,plain,
% 17.34/12.16 ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26175, 892, 26169])).
% 17.34/12.16 tff(26177,plain,
% 17.34/12.16 (m_main_v_state1(s326, c_c1)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26176, 26165, 26078, 26042, 26161, 26150])).
% 17.34/12.16 tff(26178,plain,
% 17.34/12.16 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s326, c_n1)) | (~m_main_v_state1(s326, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s326, c_n1)) | (~m_main_v_state1(s326, c_c1)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26179,plain,
% 17.34/12.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s326, c_n1)) | (~m_main_v_state1(s326, c_c1)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26180,plain,
% 17.34/12.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s326, c_n1)) | (~m_main_v_state1(s326, c_c1))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26179, 26178])).
% 17.34/12.16 tff(26181,plain,
% 17.34/12.16 (~m_main_v_state1(s326, c_n1)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26180, 454, 26177])).
% 17.34/12.16 tff(26182,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s326, c_n1) | (~node11(s326)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s326, c_n1) | (~node11(s326)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26183,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s326, c_n1) | (~node11(s326)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26184,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s326, c_n1) | (~node11(s326))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26183, 26182])).
% 17.34/12.16 tff(26185,plain,
% 17.34/12.16 (~node11(s326)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26184, 238, 26181])).
% 17.34/12.16 tff(26186,plain,
% 17.34/12.16 (succ(s326, s327) <=> succ(s326, s327)),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26187,axiom,(succ(s326, s327)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound327')).
% 17.34/12.16 tff(26188,plain,
% 17.34/12.16 (succ(s326, s327)),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26187, 26186])).
% 17.34/12.16 tff(26189,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s326, s327)) | trans(s326, s327))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s326, s327)) | trans(s326, s327))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26190,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s326, s327)) | trans(s326, s327))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26191,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s326, s327)) | trans(s326, s327)),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26190, 26189])).
% 17.34/12.16 tff(26192,plain,
% 17.34/12.16 (trans(s326, s327)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26191, 26188, 32])).
% 17.34/12.16 tff(26193,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s326, s327)) | node14(s326, s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s326, s327)) | node14(s326, s327))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26194,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s326, s327)) | node14(s326, s327))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26195,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s326, s327)) | node14(s326, s327)),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26194, 26193])).
% 17.34/12.16 tff(26196,plain,
% 17.34/12.16 (node14(s326, s327)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26195, 46, 26192])).
% 17.34/12.16 tff(26197,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s326, c_c2) | node9(s326) | node8(s326) | node10(s326) | node11(s326) | node12(s326) | node13(s326, s327) | (~node14(s326, s327)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s326, c_c2) | node9(s326) | node8(s326) | node10(s326) | node11(s326) | node12(s326) | node13(s326, s327) | (~node14(s326, s327)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26198,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s326, c_c2) | node9(s326) | node8(s326) | node10(s326) | node11(s326) | node12(s326) | node13(s326, s327) | (~node14(s326, s327)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26199,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s326, c_c2) | node9(s326) | node8(s326) | node10(s326) | node11(s326) | node12(s326) | node13(s326, s327) | (~node14(s326, s327))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26198, 26197])).
% 17.34/12.16 tff(26200,plain,
% 17.34/12.16 (m_main_v_state2(s326, c_c2) | node9(s326) | node8(s326) | node10(s326) | node11(s326) | node12(s326) | node13(s326, s327)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26199, 296, 26196])).
% 17.34/12.16 tff(26201,plain,
% 17.34/12.16 (node13(s326, s327)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26200, 26185, 26142, 26138, 26134, 26130, 26113])).
% 17.34/12.16 tff(26202,plain,
% 17.34/12.16 (((~![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(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26203,plain,
% 17.34/12.16 (((~node13(s326, s327)) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2))) <=> (m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26204,plain,
% 17.34/12.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s326, s327)) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, 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(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327))))),
% 17.34/12.16 inference(monotonicity,[status(thm)],[26203])).
% 17.34/12.16 tff(26205,plain,
% 17.34/12.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s326, s327)) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, 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(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327)))),
% 17.34/12.16 inference(transitivity,[status(thm)],[26204, 26202])).
% 17.34/12.16 tff(26206,plain,
% 17.34/12.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s326, s327)) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26207,plain,
% 17.34/12.16 ((~![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(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26206, 26205])).
% 17.34/12.16 tff(26208,plain,
% 17.34/12.16 (~m_main_v_state2(s327, c_n2)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26207, 311, 26126, 26201])).
% 17.34/12.16 tff(26209,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s327, c_n2) | (~node9(s327)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s327, c_n2) | (~node9(s327)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26210,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s327, c_n2) | (~node9(s327)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26211,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s327, c_n2) | (~node9(s327))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26210, 26209])).
% 17.34/12.16 tff(26212,plain,
% 17.34/12.16 (~node9(s327)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26211, 88, 26208])).
% 17.34/12.16 tff(26213,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s327, c_n2) | (~node10(s327)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s327, c_n2) | (~node10(s327)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26214,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s327, c_n2) | (~node10(s327)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26215,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s327, c_n2) | (~node10(s327))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26214, 26213])).
% 17.34/12.16 tff(26216,plain,
% 17.34/12.16 (~node10(s327)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26215, 249, 26208])).
% 17.34/12.16 tff(26217,plain,
% 17.34/12.16 (((~![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(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26218,plain,
% 17.34/12.16 (((~node13(s326, s327)) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2)) <=> ((~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26219,plain,
% 17.34/12.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s326, s327)) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, 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(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327))))),
% 17.34/12.16 inference(monotonicity,[status(thm)],[26218])).
% 17.34/12.16 tff(26220,plain,
% 17.34/12.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s326, s327)) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, 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(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327)))),
% 17.34/12.16 inference(transitivity,[status(thm)],[26219, 26217])).
% 17.34/12.16 tff(26221,plain,
% 17.34/12.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s326, s327)) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26222,plain,
% 17.34/12.16 ((~![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(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26221, 26220])).
% 17.34/12.16 tff(26223,plain,
% 17.34/12.16 (m_main_v_state2(s327, c_t2)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26222, 518, 26122, 26201])).
% 17.34/12.16 tff(26224,plain,
% 17.34/12.16 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s326, c_t1)) | (~m_main_v_state1(s326, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s326, c_t1)) | (~m_main_v_state1(s326, c_c1)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26225,plain,
% 17.34/12.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s326, c_t1)) | (~m_main_v_state1(s326, c_c1)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26226,plain,
% 17.34/12.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s326, c_t1)) | (~m_main_v_state1(s326, c_c1))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 17.34/12.16 tff(26227,plain,
% 17.34/12.16 (~m_main_v_state1(s326, c_t1)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26226, 539, 26177])).
% 17.34/12.16 tff(26228,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s326, c_t1) | (~node5(s326)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s326, c_t1) | (~node5(s326)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26229,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s326, c_t1) | (~node5(s326)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26230,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s326, c_t1) | (~node5(s326))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26229, 26228])).
% 17.34/12.16 tff(26231,plain,
% 17.34/12.16 (~node5(s326)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26230, 550, 26227])).
% 17.34/12.16 tff(26232,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s326, c_n2) | (~node4(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s326, c_n2) | (~node4(s326)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26233,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s326, c_n2) | (~node4(s326)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26234,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s326, c_n2) | (~node4(s326))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26233, 26232])).
% 17.34/12.16 tff(26235,plain,
% 17.34/12.16 (~node4(s326)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26234, 388, 26126])).
% 17.34/12.16 tff(26236,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s326, c_c2) | (~node3(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s326, c_c2) | (~node3(s326)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26237,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s326, c_c2) | (~node3(s326)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26238,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s326, c_c2) | (~node3(s326))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26237, 26236])).
% 17.34/12.16 tff(26239,plain,
% 17.34/12.16 (~node3(s326)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26238, 399, 26142])).
% 17.34/12.16 tff(26240,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s326, c_n2) | (~node2(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s326, c_n2) | (~node2(s326)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26241,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s326, c_n2) | (~node2(s326)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26242,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s326, c_n2) | (~node2(s326))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26241, 26240])).
% 17.34/12.16 tff(26243,plain,
% 17.34/12.16 (~node2(s326)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26242, 410, 26126])).
% 17.34/12.16 tff(26244,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s326, c_n1) | (~node1(s326)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s326, c_n1) | (~node1(s326)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26245,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s326, c_n1) | (~node1(s326)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26246,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s326, c_n1) | (~node1(s326))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26245, 26244])).
% 17.34/12.16 tff(26247,plain,
% 17.34/12.16 (~node1(s326)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26246, 421, 26181])).
% 17.34/12.16 tff(26248,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s326, s327)) | node7(s326, s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s326, s327)) | node7(s326, s327))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26249,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s326, s327)) | node7(s326, s327))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26250,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s326, s327)) | node7(s326, s327)),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26249, 26248])).
% 17.34/12.16 tff(26251,plain,
% 17.34/12.16 (node7(s326, s327)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26250, 206, 26192])).
% 17.34/12.16 tff(26252,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26253,plain,
% 17.34/12.16 (((~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)) | m_main_v_state1(s327, c_n1)) <=> (m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26254,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)) | m_main_v_state1(s327, 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(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327))))),
% 17.34/12.16 inference(monotonicity,[status(thm)],[26253])).
% 17.34/12.16 tff(26255,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)) | m_main_v_state1(s327, 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(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)))),
% 17.34/12.16 inference(transitivity,[status(thm)],[26254, 26252])).
% 17.34/12.16 tff(26256,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)) | m_main_v_state1(s327, c_n1))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26257,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26256, 26255])).
% 17.34/12.16 tff(26258,plain,
% 17.34/12.16 (m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26257, 584, 26251])).
% 17.34/12.16 tff(26259,plain,
% 17.34/12.16 (m_main_v_state1(s327, c_n1)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26258, 26247, 26177, 26243, 26239, 26235, 26231])).
% 17.34/12.16 tff(26260,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s327, c_n2) | (~node8(s327)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s327, c_n2) | (~node8(s327)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26261,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s327, c_n2) | (~node8(s327)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26262,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s327, c_n2) | (~node8(s327))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 17.34/12.16 tff(26263,plain,
% 17.34/12.16 (~node8(s327)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26262, 271, 26208])).
% 17.34/12.16 tff(26264,plain,
% 17.34/12.16 (succ(s327, s328) <=> succ(s327, s328)),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26265,axiom,(succ(s327, s328)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound328')).
% 17.34/12.16 tff(26266,plain,
% 17.34/12.16 (succ(s327, s328)),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26265, 26264])).
% 17.34/12.16 tff(26267,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s327, s328)) | trans(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s327, s328)) | trans(s327, s328))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26268,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s327, s328)) | trans(s327, s328))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26269,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s327, s328)) | trans(s327, s328)),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26268, 26267])).
% 17.34/12.16 tff(26270,plain,
% 17.34/12.16 (trans(s327, s328)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26269, 26266, 32])).
% 17.34/12.16 tff(26271,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s327, s328)) | node14(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s327, s328)) | node14(s327, s328))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26272,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s327, s328)) | node14(s327, s328))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26273,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s327, s328)) | node14(s327, s328)),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26272, 26271])).
% 17.34/12.16 tff(26274,plain,
% 17.34/12.16 (node14(s327, s328)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26273, 46, 26270])).
% 17.34/12.16 tff(26275,plain,
% 17.34/12.16 (((~![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(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | node9(s327) | node8(s327) | node10(s327) | (~node14(s327, s328)) | m_main_v_state2(s328, 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(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | node9(s327) | node8(s327) | node10(s327) | (~node14(s327, s328)) | m_main_v_state2(s328, c_c2))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26276,plain,
% 17.34/12.16 ((~![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(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | node9(s327) | node8(s327) | node10(s327) | (~node14(s327, s328)) | m_main_v_state2(s328, c_c2))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26277,plain,
% 17.34/12.16 ((~![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(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | node9(s327) | node8(s327) | node10(s327) | (~node14(s327, s328)) | m_main_v_state2(s328, c_c2)),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26276, 26275])).
% 17.34/12.16 tff(26278,plain,
% 17.34/12.16 ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | node9(s327) | node8(s327) | node10(s327) | m_main_v_state2(s328, c_c2)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26277, 617, 26274])).
% 17.34/12.16 tff(26279,plain,
% 17.34/12.16 (m_main_v_state2(s328, c_c2)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26278, 26263, 26259, 26223, 26216, 26212])).
% 17.34/12.16 tff(26280,plain,
% 17.34/12.16 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s328, c_t2)) | (~m_main_v_state2(s328, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s328, c_t2)) | (~m_main_v_state2(s328, c_c2)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26281,plain,
% 17.34/12.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s328, c_t2)) | (~m_main_v_state2(s328, c_c2)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26282,plain,
% 17.34/12.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s328, c_t2)) | (~m_main_v_state2(s328, c_c2))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26281, 26280])).
% 17.34/12.16 tff(26283,plain,
% 17.34/12.16 (~m_main_v_state2(s328, c_t2)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26282, 260, 26279])).
% 17.34/12.16 tff(26284,plain,
% 17.34/12.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s328, c_t2) | (~node12(s328)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s328, c_t2) | (~node12(s328)))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26285,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s328, c_t2) | (~node12(s328)))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26286,plain,
% 17.34/12.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s328, c_t2) | (~node12(s328))),
% 17.34/12.16 inference(modus_ponens,[status(thm)],[26285, 26284])).
% 17.34/12.16 tff(26287,plain,
% 17.34/12.16 (~node12(s328)),
% 17.34/12.16 inference(unit_resolution,[status(thm)],[26286, 633, 26283])).
% 17.34/12.16 tff(26288,plain,
% 17.34/12.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s327, s328)) | node7(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s327, s328)) | node7(s327, s328))),
% 17.34/12.16 inference(rewrite,[status(thm)],[])).
% 17.34/12.16 tff(26289,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s327, s328)) | node7(s327, s328))),
% 17.34/12.16 inference(quant_inst,[status(thm)],[])).
% 17.34/12.16 tff(26290,plain,
% 17.34/12.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s327, s328)) | node7(s327, s328)),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26289, 26288])).
% 17.34/12.17 tff(26291,plain,
% 17.34/12.17 (node7(s327, s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26290, 206, 26270])).
% 17.34/12.17 tff(26292,plain,
% 17.34/12.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node7(s327, s328)) | m_main_v_state1(s328, 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(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node7(s327, s328)) | m_main_v_state1(s328, c_t1))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26293,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node7(s327, s328)) | m_main_v_state1(s328, c_t1))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26294,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node7(s327, s328)) | m_main_v_state1(s328, c_t1)),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26293, 26292])).
% 17.34/12.17 tff(26295,plain,
% 17.34/12.17 ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | m_main_v_state1(s328, c_t1)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26294, 651, 26291])).
% 17.34/12.17 tff(26296,plain,
% 17.34/12.17 (m_main_v_state1(s328, c_t1)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26295, 26223, 26259])).
% 17.34/12.17 tff(26297,plain,
% 17.34/12.17 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s328, c_n1)) | (~m_main_v_state1(s328, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s328, c_n1)) | (~m_main_v_state1(s328, c_t1)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26298,plain,
% 17.34/12.17 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s328, c_n1)) | (~m_main_v_state1(s328, c_t1)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26299,plain,
% 17.34/12.17 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s328, c_n1)) | (~m_main_v_state1(s328, c_t1))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26298, 26297])).
% 17.34/12.17 tff(26300,plain,
% 17.34/12.17 (~m_main_v_state1(s328, c_n1)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26299, 10, 26296])).
% 17.34/12.17 tff(26301,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s328, c_n1) | (~node11(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s328, c_n1) | (~node11(s328)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26302,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s328, c_n1) | (~node11(s328)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26303,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s328, c_n1) | (~node11(s328))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26302, 26301])).
% 17.34/12.17 tff(26304,plain,
% 17.34/12.17 (~node11(s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26303, 238, 26300])).
% 17.34/12.17 tff(26305,plain,
% 17.34/12.17 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s328, c_t1)) | (~m_main_v_state1(s328, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s328, c_t1)) | (~m_main_v_state1(s328, c_c1)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26306,plain,
% 17.34/12.17 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s328, c_t1)) | (~m_main_v_state1(s328, c_c1)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26307,plain,
% 17.34/12.17 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s328, c_t1)) | (~m_main_v_state1(s328, c_c1))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26306, 26305])).
% 17.34/12.17 tff(26308,plain,
% 17.34/12.17 (~m_main_v_state1(s328, c_c1)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26307, 539, 26296])).
% 17.34/12.17 tff(26309,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s328, c_c1) | (~node10(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s328, c_c1) | (~node10(s328)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26310,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s328, c_c1) | (~node10(s328)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26311,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s328, c_c1) | (~node10(s328))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26310, 26309])).
% 17.34/12.17 tff(26312,plain,
% 17.34/12.17 (~node10(s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26311, 675, 26308])).
% 17.34/12.17 tff(26313,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s328, c_n1) | (~node9(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s328, c_n1) | (~node9(s328)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26314,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s328, c_n1) | (~node9(s328)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26315,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s328, c_n1) | (~node9(s328))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26314, 26313])).
% 17.34/12.17 tff(26316,plain,
% 17.34/12.17 (~node9(s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26315, 686, 26300])).
% 17.34/12.17 tff(26317,plain,
% 17.34/12.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s328, c_n2)) | (~m_main_v_state2(s328, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s328, c_n2)) | (~m_main_v_state2(s328, c_c2)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26318,plain,
% 17.34/12.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s328, c_n2)) | (~m_main_v_state2(s328, c_c2)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26319,plain,
% 17.34/12.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s328, c_n2)) | (~m_main_v_state2(s328, c_c2))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26318, 26317])).
% 17.34/12.17 tff(26320,plain,
% 17.34/12.17 (~m_main_v_state2(s328, c_n2)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26319, 697, 26279])).
% 17.34/12.17 tff(26321,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s328, c_n2) | (~node8(s328)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s328, c_n2) | (~node8(s328)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26322,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s328, c_n2) | (~node8(s328)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26323,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s328, c_n2) | (~node8(s328))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26322, 26321])).
% 17.34/12.17 tff(26324,plain,
% 17.34/12.17 (~node8(s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26323, 271, 26320])).
% 17.34/12.17 tff(26325,plain,
% 17.34/12.17 (succ(s328, s329) <=> succ(s328, s329)),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26326,axiom,(succ(s328, s329)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound329')).
% 17.34/12.17 tff(26327,plain,
% 17.34/12.17 (succ(s328, s329)),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26326, 26325])).
% 17.34/12.17 tff(26328,plain,
% 17.34/12.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s328, s329)) | trans(s328, s329))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s328, s329)) | trans(s328, s329))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26329,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s328, s329)) | trans(s328, s329))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26330,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s328, s329)) | trans(s328, s329)),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26329, 26328])).
% 17.34/12.17 tff(26331,plain,
% 17.34/12.17 (trans(s328, s329)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26330, 26327, 32])).
% 17.34/12.17 tff(26332,plain,
% 17.34/12.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s328, s329)) | node14(s328, s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s328, s329)) | node14(s328, s329))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26333,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s328, s329)) | node14(s328, s329))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26334,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s328, s329)) | node14(s328, s329)),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26333, 26332])).
% 17.34/12.17 tff(26335,plain,
% 17.34/12.17 (node14(s328, s329)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26334, 46, 26331])).
% 17.34/12.17 tff(26336,plain,
% 17.34/12.17 (((~![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(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, 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(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26337,plain,
% 17.34/12.17 (((~m_main_v_state2(s328, c_c2)) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | m_main_v_state2(s329, c_n2)) <=> (m_main_v_state2(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26338,plain,
% 17.34/12.17 (((~![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(s328, c_c2)) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | m_main_v_state2(s329, 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(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2))))),
% 17.34/12.17 inference(monotonicity,[status(thm)],[26337])).
% 17.34/12.17 tff(26339,plain,
% 17.34/12.17 (((~![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(s328, c_c2)) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | m_main_v_state2(s329, 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(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2)))),
% 17.34/12.17 inference(transitivity,[status(thm)],[26338, 26336])).
% 17.34/12.17 tff(26340,plain,
% 17.34/12.17 ((~![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(s328, c_c2)) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | m_main_v_state2(s329, c_n2))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26341,plain,
% 17.34/12.17 ((~![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(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26340, 26339])).
% 17.34/12.17 tff(26342,plain,
% 17.34/12.17 (m_main_v_state2(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~m_main_v_state2(s328, c_c2))),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26341, 726, 26335])).
% 17.34/12.17 tff(26343,plain,
% 17.34/12.17 (m_main_v_state2(s329, c_n2)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26342, 26324, 26279, 26316, 26312, 26304, 26287])).
% 17.34/12.17 tff(26344,plain,
% 17.34/12.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_c2)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26345,plain,
% 17.34/12.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_c2)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26346,plain,
% 17.34/12.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_c2))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26345, 26344])).
% 17.34/12.17 tff(26347,plain,
% 17.34/12.17 (~m_main_v_state2(s329, c_c2)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26346, 697, 26343])).
% 17.34/12.17 tff(26348,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s329, c_c2) | (~node3(s329)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s329, c_c2) | (~node3(s329)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26349,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s329, c_c2) | (~node3(s329)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26350,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s329, c_c2) | (~node3(s329))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26349, 26348])).
% 17.34/12.17 tff(26351,plain,
% 17.34/12.17 (~node3(s329)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26350, 399, 26347])).
% 17.34/12.17 tff(26352,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s328, c_n1) | (~node1(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s328, c_n1) | (~node1(s328)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26353,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s328, c_n1) | (~node1(s328)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26354,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s328, c_n1) | (~node1(s328))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26353, 26352])).
% 17.34/12.17 tff(26355,plain,
% 17.34/12.17 (~node1(s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26354, 421, 26300])).
% 17.34/12.17 tff(26356,plain,
% 17.34/12.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s327, s328)) | node18(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s327, s328)) | node18(s327, s328))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26357,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s327, s328)) | node18(s327, s328))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26358,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s327, s328)) | node18(s327, s328)),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26357, 26356])).
% 17.34/12.17 tff(26359,plain,
% 17.34/12.17 (node18(s327, s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26358, 125, 26270])).
% 17.34/12.17 tff(26360,plain,
% 17.34/12.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node18(s327, s328)) | m_main_v_turn(s328, 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(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node18(s327, s328)) | m_main_v_turn(s328, c_2))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26361,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node18(s327, s328)) | m_main_v_turn(s328, c_2))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26362,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node18(s327, s328)) | m_main_v_turn(s328, c_2)),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26361, 26360])).
% 17.34/12.17 tff(26363,plain,
% 17.34/12.17 ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | m_main_v_turn(s328, c_2)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26362, 760, 26359])).
% 17.34/12.17 tff(26364,plain,
% 17.34/12.17 (m_main_v_turn(s328, c_2)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26363, 26223, 26259])).
% 17.34/12.17 tff(26365,plain,
% 17.34/12.17 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s328, c_1)) | (~m_main_v_turn(s328, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s328, c_1)) | (~m_main_v_turn(s328, c_2)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26366,plain,
% 17.34/12.17 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s328, c_1)) | (~m_main_v_turn(s328, c_2)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26367,plain,
% 17.34/12.17 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s328, c_1)) | (~m_main_v_turn(s328, c_2))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26366, 26365])).
% 17.34/12.17 tff(26368,plain,
% 17.34/12.17 (~m_main_v_turn(s328, c_1)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26367, 156, 26364])).
% 17.34/12.17 tff(26369,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s328, c_1) | (~node5(s328)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s328, c_1) | (~node5(s328)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26370,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s328, c_1) | (~node5(s328)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26371,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s328, c_1) | (~node5(s328))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26370, 26369])).
% 17.34/12.17 tff(26372,plain,
% 17.34/12.17 (~node5(s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26371, 776, 26368])).
% 17.34/12.17 tff(26373,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s328, c_n1) | (~node2(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s328, c_n1) | (~node2(s328)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26374,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s328, c_n1) | (~node2(s328)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26375,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s328, c_n1) | (~node2(s328))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26374, 26373])).
% 17.34/12.17 tff(26376,plain,
% 17.34/12.17 (~node2(s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26375, 787, 26300])).
% 17.34/12.17 tff(26377,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s328, c_n1) | (~node3(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s328, c_n1) | (~node3(s328)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26378,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s328, c_n1) | (~node3(s328)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26379,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s328, c_n1) | (~node3(s328))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26378, 26377])).
% 17.34/12.17 tff(26380,plain,
% 17.34/12.17 (~node3(s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26379, 798, 26300])).
% 17.34/12.17 tff(26381,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s328, c_n2) | (~node4(s328)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s328, c_n2) | (~node4(s328)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26382,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s328, c_n2) | (~node4(s328)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26383,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s328, c_n2) | (~node4(s328))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26382, 26381])).
% 17.34/12.17 tff(26384,plain,
% 17.34/12.17 (~node4(s328)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26383, 388, 26320])).
% 17.34/12.17 tff(26385,plain,
% 17.34/12.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s328, s329)) | node7(s328, s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s328, s329)) | node7(s328, s329))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26386,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s328, s329)) | node7(s328, s329))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26387,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s328, s329)) | node7(s328, s329)),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26386, 26385])).
% 17.34/12.17 tff(26388,plain,
% 17.34/12.17 (node7(s328, s329)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26387, 206, 26331])).
% 17.34/12.17 tff(26389,plain,
% 17.34/12.17 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s328, c_c1) | node1(s328) | node2(s328) | node3(s328) | node4(s328) | node5(s328) | node6(s328, s329) | (~node7(s328, s329)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s328, c_c1) | node1(s328) | node2(s328) | node3(s328) | node4(s328) | node5(s328) | node6(s328, s329) | (~node7(s328, s329)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26390,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s328, c_c1) | node1(s328) | node2(s328) | node3(s328) | node4(s328) | node5(s328) | node6(s328, s329) | (~node7(s328, s329)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26391,plain,
% 17.34/12.17 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s328, c_c1) | node1(s328) | node2(s328) | node3(s328) | node4(s328) | node5(s328) | node6(s328, s329) | (~node7(s328, s329))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26390, 26389])).
% 17.34/12.17 tff(26392,plain,
% 17.34/12.17 (m_main_v_state1(s328, c_c1) | node1(s328) | node2(s328) | node3(s328) | node4(s328) | node5(s328) | node6(s328, s329)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26391, 820, 26388])).
% 17.34/12.17 tff(26393,plain,
% 17.34/12.17 (node6(s328, s329)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26392, 26384, 26308, 26380, 26376, 26372, 26355])).
% 17.34/12.17 tff(26394,plain,
% 17.34/12.17 (((~![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(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26395,plain,
% 17.34/12.17 (((~node6(s328, s329)) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1))) <=> (m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26396,plain,
% 17.34/12.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s328, s329)) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, 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(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329))))),
% 17.34/12.17 inference(monotonicity,[status(thm)],[26395])).
% 17.34/12.17 tff(26397,plain,
% 17.34/12.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s328, s329)) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, 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(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329)))),
% 17.34/12.17 inference(transitivity,[status(thm)],[26396, 26394])).
% 17.34/12.17 tff(26398,plain,
% 17.34/12.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s328, s329)) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26399,plain,
% 17.34/12.17 ((~![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(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26398, 26397])).
% 17.34/12.17 tff(26400,plain,
% 17.34/12.17 (~m_main_v_state1(s329, c_n1)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26399, 835, 26300, 26393])).
% 17.34/12.17 tff(26401,plain,
% 17.34/12.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s329, c_n1) | (~node2(s329)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s329, c_n1) | (~node2(s329)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26402,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s329, c_n1) | (~node2(s329)))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26403,plain,
% 17.34/12.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s329, c_n1) | (~node2(s329))),
% 17.34/12.17 inference(modus_ponens,[status(thm)],[26402, 26401])).
% 17.34/12.17 tff(26404,plain,
% 17.34/12.17 (~node2(s329)),
% 17.34/12.17 inference(unit_resolution,[status(thm)],[26403, 787, 26400])).
% 17.34/12.17 tff(26405,plain,
% 17.34/12.17 (((~![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(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26406,plain,
% 17.34/12.17 (((~node6(s328, s329)) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1)) <=> ((~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329)))),
% 17.34/12.17 inference(rewrite,[status(thm)],[])).
% 17.34/12.17 tff(26407,plain,
% 17.34/12.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s328, s329)) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, 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(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329))))),
% 17.34/12.17 inference(monotonicity,[status(thm)],[26406])).
% 17.34/12.17 tff(26408,plain,
% 17.34/12.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s328, s329)) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, 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(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329)))),
% 17.34/12.17 inference(transitivity,[status(thm)],[26407, 26405])).
% 17.34/12.17 tff(26409,plain,
% 17.34/12.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s328, s329)) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1))),
% 17.34/12.17 inference(quant_inst,[status(thm)],[])).
% 17.34/12.17 tff(26410,plain,
% 17.34/12.17 ((~![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(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26409, 26408])).
% 17.34/12.18 tff(26411,plain,
% 17.34/12.18 (m_main_v_state1(s329, c_t1)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26410, 856, 26296, 26393])).
% 17.34/12.18 tff(26412,plain,
% 17.34/12.18 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_t2)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26413,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_t2)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26414,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_t2))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26413, 26412])).
% 17.34/12.18 tff(26415,plain,
% 17.34/12.18 (~m_main_v_state2(s329, c_t2)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26414, 77, 26343])).
% 17.34/12.18 tff(26416,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s329, c_t2) | (~node1(s329)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s329, c_t2) | (~node1(s329)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26417,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s329, c_t2) | (~node1(s329)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26418,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s329, c_t2) | (~node1(s329))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26417, 26416])).
% 17.34/12.18 tff(26419,plain,
% 17.34/12.18 (~node1(s329)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26418, 195, 26415])).
% 17.34/12.18 tff(26420,plain,
% 17.34/12.18 (succ(s329, s330) <=> succ(s329, s330)),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26421,axiom,(succ(s329, s330)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound330')).
% 17.34/12.18 tff(26422,plain,
% 17.34/12.18 (succ(s329, s330)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26421, 26420])).
% 17.34/12.18 tff(26423,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s329, s330)) | trans(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s329, s330)) | trans(s329, s330))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26424,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s329, s330)) | trans(s329, s330))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26425,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s329, s330)) | trans(s329, s330)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26424, 26423])).
% 17.34/12.18 tff(26426,plain,
% 17.34/12.18 (trans(s329, s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26425, 26422, 32])).
% 17.34/12.18 tff(26427,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s329, s330)) | node7(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s329, s330)) | node7(s329, s330))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26428,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s329, s330)) | node7(s329, s330))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26429,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s329, s330)) | node7(s329, s330)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 17.34/12.18 tff(26430,plain,
% 17.34/12.18 (node7(s329, s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26429, 206, 26426])).
% 17.34/12.18 tff(26431,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26432,plain,
% 17.34/12.18 (((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)) | m_main_v_state1(s330, c_c1)) <=> ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26433,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)) | m_main_v_state1(s330, 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(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330))))),
% 17.34/12.18 inference(monotonicity,[status(thm)],[26432])).
% 17.34/12.18 tff(26434,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)) | m_main_v_state1(s330, 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(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)))),
% 17.34/12.18 inference(transitivity,[status(thm)],[26433, 26431])).
% 17.34/12.18 tff(26435,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)) | m_main_v_state1(s330, c_c1))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26436,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26435, 26434])).
% 17.34/12.18 tff(26437,plain,
% 17.34/12.18 ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26436, 892, 26430])).
% 17.34/12.18 tff(26438,plain,
% 17.34/12.18 (m_main_v_state1(s330, c_c1)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26437, 26419, 26343, 26411, 26404, 26351])).
% 17.34/12.18 tff(26439,plain,
% 17.34/12.18 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s330, c_t1)) | (~m_main_v_state1(s330, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s330, c_t1)) | (~m_main_v_state1(s330, c_c1)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26440,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s330, c_t1)) | (~m_main_v_state1(s330, c_c1)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26441,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s330, c_t1)) | (~m_main_v_state1(s330, c_c1))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26440, 26439])).
% 17.34/12.18 tff(26442,plain,
% 17.34/12.18 (~m_main_v_state1(s330, c_t1)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26441, 539, 26438])).
% 17.34/12.18 tff(26443,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s330, c_t1) | (~node5(s330)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s330, c_t1) | (~node5(s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26444,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s330, c_t1) | (~node5(s330)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26445,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s330, c_t1) | (~node5(s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26444, 26443])).
% 17.34/12.18 tff(26446,plain,
% 17.34/12.18 (~node5(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26445, 550, 26442])).
% 17.34/12.18 tff(26447,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s329, s330)) | node14(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s329, s330)) | node14(s329, s330))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26448,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s329, s330)) | node14(s329, s330))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26449,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s329, s330)) | node14(s329, s330)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26448, 26447])).
% 17.34/12.18 tff(26450,plain,
% 17.34/12.18 (node14(s329, s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26449, 46, 26426])).
% 17.34/12.18 tff(26451,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | (~node14(s329, s330)) | m_main_v_state2(s330, 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(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | (~node14(s329, s330)) | m_main_v_state2(s330, c_t2))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26452,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | (~node14(s329, s330)) | m_main_v_state2(s330, c_t2))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26453,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | (~node14(s329, s330)) | m_main_v_state2(s330, c_t2)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26452, 26451])).
% 17.34/12.18 tff(26454,plain,
% 17.34/12.18 ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state2(s330, c_t2)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26453, 922, 26450])).
% 17.34/12.18 tff(26455,plain,
% 17.34/12.18 (m_main_v_state2(s330, c_t2)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26454, 26411, 26343])).
% 17.34/12.18 tff(26456,plain,
% 17.34/12.18 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s330, c_n2)) | (~m_main_v_state2(s330, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s330, c_n2)) | (~m_main_v_state2(s330, c_t2)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26457,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s330, c_n2)) | (~m_main_v_state2(s330, c_t2)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26458,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s330, c_n2)) | (~m_main_v_state2(s330, c_t2))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26457, 26456])).
% 17.34/12.18 tff(26459,plain,
% 17.34/12.18 (~m_main_v_state2(s330, c_n2)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26458, 77, 26455])).
% 17.34/12.18 tff(26460,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s330, c_n2) | (~node4(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s330, c_n2) | (~node4(s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26461,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s330, c_n2) | (~node4(s330)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26462,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s330, c_n2) | (~node4(s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26461, 26460])).
% 17.34/12.18 tff(26463,plain,
% 17.34/12.18 (~node4(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26462, 388, 26459])).
% 17.34/12.18 tff(26464,plain,
% 17.34/12.18 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s330, c_t2)) | (~m_main_v_state2(s330, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s330, c_t2)) | (~m_main_v_state2(s330, c_c2)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26465,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s330, c_t2)) | (~m_main_v_state2(s330, c_c2)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26466,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s330, c_t2)) | (~m_main_v_state2(s330, c_c2))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26465, 26464])).
% 17.34/12.18 tff(26467,plain,
% 17.34/12.18 (~m_main_v_state2(s330, c_c2)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26466, 260, 26455])).
% 17.34/12.18 tff(26468,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s330, c_c2) | (~node3(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s330, c_c2) | (~node3(s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26469,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s330, c_c2) | (~node3(s330)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26470,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s330, c_c2) | (~node3(s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26469, 26468])).
% 17.34/12.18 tff(26471,plain,
% 17.34/12.18 (~node3(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26470, 399, 26467])).
% 17.34/12.18 tff(26472,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s330, c_n2) | (~node2(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s330, c_n2) | (~node2(s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26473,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s330, c_n2) | (~node2(s330)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26474,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s330, c_n2) | (~node2(s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26473, 26472])).
% 17.34/12.18 tff(26475,plain,
% 17.34/12.18 (~node2(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26474, 410, 26459])).
% 17.34/12.18 tff(26476,plain,
% 17.34/12.18 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s330, c_n1)) | (~m_main_v_state1(s330, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s330, c_n1)) | (~m_main_v_state1(s330, c_c1)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26477,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s330, c_n1)) | (~m_main_v_state1(s330, c_c1)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26478,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s330, c_n1)) | (~m_main_v_state1(s330, c_c1))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26477, 26476])).
% 17.34/12.18 tff(26479,plain,
% 17.34/12.18 (~m_main_v_state1(s330, c_n1)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26478, 454, 26438])).
% 17.34/12.18 tff(26480,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s330, c_n1) | (~node1(s330)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s330, c_n1) | (~node1(s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26481,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s330, c_n1) | (~node1(s330)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26482,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s330, c_n1) | (~node1(s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26481, 26480])).
% 17.34/12.18 tff(26483,plain,
% 17.34/12.18 (~node1(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26482, 421, 26479])).
% 17.34/12.18 tff(26484,plain,
% 17.34/12.18 (succ(s330, s331) <=> succ(s330, s331)),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26485,axiom,(succ(s330, s331)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound331')).
% 17.34/12.18 tff(26486,plain,
% 17.34/12.18 (succ(s330, s331)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26485, 26484])).
% 17.34/12.18 tff(26487,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s330, s331)) | trans(s330, s331))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s330, s331)) | trans(s330, s331))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26488,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s330, s331)) | trans(s330, s331))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26489,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s330, s331)) | trans(s330, s331)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26488, 26487])).
% 17.34/12.18 tff(26490,plain,
% 17.34/12.18 (trans(s330, s331)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26489, 26486, 32])).
% 17.34/12.18 tff(26491,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s330, s331)) | node7(s330, s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s330, s331)) | node7(s330, s331))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26492,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s330, s331)) | node7(s330, s331))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26493,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s330, s331)) | node7(s330, s331)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26492, 26491])).
% 17.34/12.18 tff(26494,plain,
% 17.34/12.18 (node7(s330, s331)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26493, 206, 26490])).
% 17.34/12.18 tff(26495,plain,
% 17.34/12.18 (((~![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(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26496,plain,
% 17.34/12.18 (((~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)) | m_main_v_state1(s331, c_n1)) <=> (m_main_v_state1(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26497,plain,
% 17.34/12.18 (((~![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(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)) | m_main_v_state1(s331, 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(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331))))),
% 17.34/12.18 inference(monotonicity,[status(thm)],[26496])).
% 17.34/12.18 tff(26498,plain,
% 17.34/12.18 (((~![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(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)) | m_main_v_state1(s331, 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(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)))),
% 17.34/12.18 inference(transitivity,[status(thm)],[26497, 26495])).
% 17.34/12.18 tff(26499,plain,
% 17.34/12.18 ((~![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(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)) | m_main_v_state1(s331, c_n1))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26500,plain,
% 17.34/12.18 ((~![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(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26499, 26498])).
% 17.34/12.18 tff(26501,plain,
% 17.34/12.18 (m_main_v_state1(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26500, 584, 26494])).
% 17.34/12.18 tff(26502,plain,
% 17.34/12.18 (m_main_v_state1(s331, c_n1)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26501, 26483, 26438, 26475, 26471, 26463, 26446])).
% 17.34/12.18 tff(26503,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s329, c_t2) | (~node15(s329)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s329, c_t2) | (~node15(s329)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26504,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s329, c_t2) | (~node15(s329)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26505,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s329, c_t2) | (~node15(s329))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26504, 26503])).
% 17.34/12.18 tff(26506,plain,
% 17.34/12.18 (~node15(s329)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26505, 103, 26415])).
% 17.34/12.18 tff(26507,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s329, s330)) | node18(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s329, s330)) | node18(s329, s330))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26508,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s329, s330)) | node18(s329, s330))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26509,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s329, s330)) | node18(s329, s330)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26508, 26507])).
% 17.34/12.18 tff(26510,plain,
% 17.34/12.18 (node18(s329, s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26509, 125, 26426])).
% 17.34/12.18 tff(26511,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26512,plain,
% 17.34/12.18 (((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node15(s329) | (~node18(s329, s330)) | m_main_v_turn(s330, c_1)) <=> (node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26513,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node15(s329) | (~node18(s329, s330)) | m_main_v_turn(s330, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1)))),
% 17.34/12.18 inference(monotonicity,[status(thm)],[26512])).
% 17.34/12.18 tff(26514,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node15(s329) | (~node18(s329, s330)) | m_main_v_turn(s330, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1))),
% 17.34/12.18 inference(transitivity,[status(thm)],[26513, 26511])).
% 17.34/12.18 tff(26515,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node15(s329) | (~node18(s329, s330)) | m_main_v_turn(s330, c_1))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26516,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26515, 26514])).
% 17.34/12.18 tff(26517,plain,
% 17.34/12.18 (node15(s329) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26516, 992, 26510])).
% 17.34/12.18 tff(26518,plain,
% 17.34/12.18 (m_main_v_turn(s330, c_1)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26517, 26506, 26343, 26411])).
% 17.34/12.18 tff(26519,plain,
% 17.34/12.18 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s330, c_1)) | (~m_main_v_turn(s330, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s330, c_1)) | (~m_main_v_turn(s330, c_2)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26520,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s330, c_1)) | (~m_main_v_turn(s330, c_2)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26521,plain,
% 17.34/12.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s330, c_1)) | (~m_main_v_turn(s330, c_2))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26520, 26519])).
% 17.34/12.18 tff(26522,plain,
% 17.34/12.18 (~m_main_v_turn(s330, c_2)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26521, 156, 26518])).
% 17.34/12.18 tff(26523,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s330, c_2) | (~node12(s330)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s330, c_2) | (~node12(s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26524,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s330, c_2) | (~node12(s330)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26525,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s330, c_2) | (~node12(s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26524, 26523])).
% 17.34/12.18 tff(26526,plain,
% 17.34/12.18 (~node12(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26525, 184, 26522])).
% 17.34/12.18 tff(26527,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s330, c_n2) | (~node8(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s330, c_n2) | (~node8(s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26528,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s330, c_n2) | (~node8(s330)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26529,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s330, c_n2) | (~node8(s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26528, 26527])).
% 17.34/12.18 tff(26530,plain,
% 17.34/12.18 (~node8(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26529, 271, 26459])).
% 17.34/12.18 tff(26531,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s330, c_n2) | (~node9(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s330, c_n2) | (~node9(s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26532,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s330, c_n2) | (~node9(s330)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26533,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s330, c_n2) | (~node9(s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26532, 26531])).
% 17.34/12.18 tff(26534,plain,
% 17.34/12.18 (~node9(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26533, 88, 26459])).
% 17.34/12.18 tff(26535,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s330, c_n2) | (~node10(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s330, c_n2) | (~node10(s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26536,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s330, c_n2) | (~node10(s330)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26537,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s330, c_n2) | (~node10(s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26536, 26535])).
% 17.34/12.18 tff(26538,plain,
% 17.34/12.18 (~node10(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26537, 249, 26459])).
% 17.34/12.18 tff(26539,plain,
% 17.34/12.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s330, c_n1) | (~node11(s330)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s330, c_n1) | (~node11(s330)))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26540,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s330, c_n1) | (~node11(s330)))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26541,plain,
% 17.34/12.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s330, c_n1) | (~node11(s330))),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26540, 26539])).
% 17.34/12.18 tff(26542,plain,
% 17.34/12.18 (~node11(s330)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26541, 238, 26479])).
% 17.34/12.18 tff(26543,plain,
% 17.34/12.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s330, s331)) | node14(s330, s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s330, s331)) | node14(s330, s331))),
% 17.34/12.18 inference(rewrite,[status(thm)],[])).
% 17.34/12.18 tff(26544,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s330, s331)) | node14(s330, s331))),
% 17.34/12.18 inference(quant_inst,[status(thm)],[])).
% 17.34/12.18 tff(26545,plain,
% 17.34/12.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s330, s331)) | node14(s330, s331)),
% 17.34/12.18 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 17.34/12.18 tff(26546,plain,
% 17.34/12.18 (node14(s330, s331)),
% 17.34/12.18 inference(unit_resolution,[status(thm)],[26545, 46, 26490])).
% 17.34/12.18 tff(26547,plain,
% 17.34/12.18 (((~![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(s330, c_c2) | node9(s330) | node8(s330) | node10(s330) | node11(s330) | node12(s330) | node13(s330, s331) | (~node14(s330, s331)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s330, c_c2) | node9(s330) | node8(s330) | node10(s330) | node11(s330) | node12(s330) | node13(s330, s331) | (~node14(s330, s331)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26548,plain,
% 17.34/12.19 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s330, c_c2) | node9(s330) | node8(s330) | node10(s330) | node11(s330) | node12(s330) | node13(s330, s331) | (~node14(s330, s331)))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26549,plain,
% 17.34/12.19 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s330, c_c2) | node9(s330) | node8(s330) | node10(s330) | node11(s330) | node12(s330) | node13(s330, s331) | (~node14(s330, s331))),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26548, 26547])).
% 17.34/12.19 tff(26550,plain,
% 17.34/12.19 (m_main_v_state2(s330, c_c2) | node9(s330) | node8(s330) | node10(s330) | node11(s330) | node12(s330) | node13(s330, s331)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26549, 296, 26546])).
% 17.34/12.19 tff(26551,plain,
% 17.34/12.19 (node13(s330, s331)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26550, 26542, 26467, 26538, 26534, 26530, 26526])).
% 17.34/12.19 tff(26552,plain,
% 17.34/12.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26553,plain,
% 17.34/12.19 (((~node13(s330, s331)) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2)) <=> ((~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26554,plain,
% 17.34/12.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s330, s331)) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, 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(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331))))),
% 17.34/12.19 inference(monotonicity,[status(thm)],[26553])).
% 17.34/12.19 tff(26555,plain,
% 17.34/12.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s330, s331)) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, 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(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331)))),
% 17.34/12.19 inference(transitivity,[status(thm)],[26554, 26552])).
% 17.34/12.19 tff(26556,plain,
% 17.34/12.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s330, s331)) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26557,plain,
% 17.34/12.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331))),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26556, 26555])).
% 17.34/12.19 tff(26558,plain,
% 17.34/12.19 (m_main_v_state2(s331, c_t2)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26557, 518, 26455, 26551])).
% 17.34/12.19 tff(26559,plain,
% 17.34/12.19 (succ(s331, s332) <=> succ(s331, s332)),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26560,axiom,(succ(s331, s332)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound332')).
% 17.34/12.19 tff(26561,plain,
% 17.34/12.19 (succ(s331, s332)),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26560, 26559])).
% 17.34/12.19 tff(26562,plain,
% 17.34/12.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s331, s332)) | trans(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s331, s332)) | trans(s331, s332))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26563,plain,
% 17.34/12.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s331, s332)) | trans(s331, s332))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26564,plain,
% 17.34/12.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s331, s332)) | trans(s331, s332)),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26563, 26562])).
% 17.34/12.19 tff(26565,plain,
% 17.34/12.19 (trans(s331, s332)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26564, 26561, 32])).
% 17.34/12.19 tff(26566,plain,
% 17.34/12.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s331, s332)) | node7(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s331, s332)) | node7(s331, s332))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26567,plain,
% 17.34/12.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s331, s332)) | node7(s331, s332))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26568,plain,
% 17.34/12.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s331, s332)) | node7(s331, s332)),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26567, 26566])).
% 17.34/12.19 tff(26569,plain,
% 17.34/12.19 (node7(s331, s332)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26568, 206, 26565])).
% 17.34/12.19 tff(26570,plain,
% 17.34/12.19 (((~![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(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node7(s331, s332)) | m_main_v_state1(s332, 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(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node7(s331, s332)) | m_main_v_state1(s332, c_t1))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26571,plain,
% 17.34/12.19 ((~![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(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node7(s331, s332)) | m_main_v_state1(s332, c_t1))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26572,plain,
% 17.34/12.19 ((~![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(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node7(s331, s332)) | m_main_v_state1(s332, c_t1)),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26571, 26570])).
% 17.34/12.19 tff(26573,plain,
% 17.34/12.19 ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | m_main_v_state1(s332, c_t1)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26572, 651, 26569])).
% 17.34/12.19 tff(26574,plain,
% 17.34/12.19 (m_main_v_state1(s332, c_t1)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26573, 26558, 26502])).
% 17.34/12.19 tff(26575,plain,
% 17.34/12.19 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s332, c_n1)) | (~m_main_v_state1(s332, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s332, c_n1)) | (~m_main_v_state1(s332, c_t1)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26576,plain,
% 17.34/12.19 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s332, c_n1)) | (~m_main_v_state1(s332, c_t1)))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26577,plain,
% 17.34/12.19 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s332, c_n1)) | (~m_main_v_state1(s332, c_t1))),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26576, 26575])).
% 17.34/12.19 tff(26578,plain,
% 17.34/12.19 (~m_main_v_state1(s332, c_n1)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26577, 10, 26574])).
% 17.34/12.19 tff(26579,plain,
% 17.34/12.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s332, c_n1) | (~node1(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s332, c_n1) | (~node1(s332)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26580,plain,
% 17.34/12.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s332, c_n1) | (~node1(s332)))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26581,plain,
% 17.34/12.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s332, c_n1) | (~node1(s332))),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26580, 26579])).
% 17.34/12.19 tff(26582,plain,
% 17.34/12.19 (~node1(s332)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26581, 421, 26578])).
% 17.34/12.19 tff(26583,plain,
% 17.34/12.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s331, s332)) | node18(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s331, s332)) | node18(s331, s332))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26584,plain,
% 17.34/12.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s331, s332)) | node18(s331, s332))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26585,plain,
% 17.34/12.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s331, s332)) | node18(s331, s332)),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26584, 26583])).
% 17.34/12.19 tff(26586,plain,
% 17.34/12.19 (node18(s331, s332)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26585, 125, 26565])).
% 17.34/12.19 tff(26587,plain,
% 17.34/12.19 (((~![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(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node18(s331, s332)) | m_main_v_turn(s332, 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(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node18(s331, s332)) | m_main_v_turn(s332, c_2))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26588,plain,
% 17.34/12.19 ((~![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(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node18(s331, s332)) | m_main_v_turn(s332, c_2))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26589,plain,
% 17.34/12.19 ((~![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(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node18(s331, s332)) | m_main_v_turn(s332, c_2)),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26588, 26587])).
% 17.34/12.19 tff(26590,plain,
% 17.34/12.19 ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | m_main_v_turn(s332, c_2)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26589, 760, 26586])).
% 17.34/12.19 tff(26591,plain,
% 17.34/12.19 (m_main_v_turn(s332, c_2)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26590, 26558, 26502])).
% 17.34/12.19 tff(26592,plain,
% 17.34/12.19 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s332, c_1)) | (~m_main_v_turn(s332, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s332, c_1)) | (~m_main_v_turn(s332, c_2)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26593,plain,
% 17.34/12.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s332, c_1)) | (~m_main_v_turn(s332, c_2)))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26594,plain,
% 17.34/12.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s332, c_1)) | (~m_main_v_turn(s332, c_2))),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26593, 26592])).
% 17.34/12.19 tff(26595,plain,
% 17.34/12.19 (~m_main_v_turn(s332, c_1)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26594, 156, 26591])).
% 17.34/12.19 tff(26596,plain,
% 17.34/12.19 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s332, c_1) | (~node5(s332)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s332, c_1) | (~node5(s332)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26597,plain,
% 17.34/12.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s332, c_1) | (~node5(s332)))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26598,plain,
% 17.34/12.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s332, c_1) | (~node5(s332))),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26597, 26596])).
% 17.34/12.19 tff(26599,plain,
% 17.34/12.19 (~node5(s332)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26598, 776, 26595])).
% 17.34/12.19 tff(26600,plain,
% 17.34/12.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s332, c_n1) | (~node2(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s332, c_n1) | (~node2(s332)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26601,plain,
% 17.34/12.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s332, c_n1) | (~node2(s332)))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26602,plain,
% 17.34/12.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s332, c_n1) | (~node2(s332))),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26601, 26600])).
% 17.34/12.19 tff(26603,plain,
% 17.34/12.19 (~node2(s332)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26602, 787, 26578])).
% 17.34/12.19 tff(26604,plain,
% 17.34/12.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s332, c_n1) | (~node3(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s332, c_n1) | (~node3(s332)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26605,plain,
% 17.34/12.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s332, c_n1) | (~node3(s332)))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26606,plain,
% 17.34/12.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s332, c_n1) | (~node3(s332))),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26605, 26604])).
% 17.34/12.19 tff(26607,plain,
% 17.34/12.19 (~node3(s332)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26606, 798, 26578])).
% 17.34/12.19 tff(26608,plain,
% 17.34/12.19 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s332, c_t1)) | (~m_main_v_state1(s332, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s332, c_t1)) | (~m_main_v_state1(s332, c_c1)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26609,plain,
% 17.34/12.19 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s332, c_t1)) | (~m_main_v_state1(s332, c_c1)))),
% 17.34/12.19 inference(quant_inst,[status(thm)],[])).
% 17.34/12.19 tff(26610,plain,
% 17.34/12.19 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s332, c_t1)) | (~m_main_v_state1(s332, c_c1))),
% 17.34/12.19 inference(modus_ponens,[status(thm)],[26609, 26608])).
% 17.34/12.19 tff(26611,plain,
% 17.34/12.19 (~m_main_v_state1(s332, c_c1)),
% 17.34/12.19 inference(unit_resolution,[status(thm)],[26610, 539, 26574])).
% 17.34/12.19 tff(26612,plain,
% 17.34/12.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26613,plain,
% 17.34/12.19 (((~node13(s330, s331)) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2))) <=> (m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331)))),
% 17.34/12.19 inference(rewrite,[status(thm)],[])).
% 17.34/12.19 tff(26614,plain,
% 17.34/12.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s330, s331)) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, 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(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331))))),
% 17.34/12.19 inference(monotonicity,[status(thm)],[26613])).
% 17.34/12.19 tff(26615,plain,
% 17.34/12.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s330, s331)) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, 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(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331)))),
% 17.34/12.19 inference(transitivity,[status(thm)],[26614, 26612])).
% 17.34/12.19 tff(26616,plain,
% 17.34/12.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s330, s331)) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26617,plain,
% 17.39/12.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331))),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26616, 26615])).
% 17.39/12.19 tff(26618,plain,
% 17.39/12.19 (~m_main_v_state2(s331, c_n2)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26617, 311, 26459, 26551])).
% 17.39/12.19 tff(26619,plain,
% 17.39/12.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s331, c_n2) | (~node9(s331)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s331, c_n2) | (~node9(s331)))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26620,plain,
% 17.39/12.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s331, c_n2) | (~node9(s331)))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26621,plain,
% 17.39/12.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s331, c_n2) | (~node9(s331))),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26620, 26619])).
% 17.39/12.19 tff(26622,plain,
% 17.39/12.19 (~node9(s331)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26621, 88, 26618])).
% 17.39/12.19 tff(26623,plain,
% 17.39/12.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s331, c_n2) | (~node10(s331)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s331, c_n2) | (~node10(s331)))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26624,plain,
% 17.39/12.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s331, c_n2) | (~node10(s331)))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26625,plain,
% 17.39/12.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s331, c_n2) | (~node10(s331))),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26624, 26623])).
% 17.39/12.19 tff(26626,plain,
% 17.39/12.19 (~node10(s331)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26625, 249, 26618])).
% 17.39/12.19 tff(26627,plain,
% 17.39/12.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s331, c_n2) | (~node8(s331)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s331, c_n2) | (~node8(s331)))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26628,plain,
% 17.39/12.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s331, c_n2) | (~node8(s331)))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26629,plain,
% 17.39/12.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s331, c_n2) | (~node8(s331))),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26628, 26627])).
% 17.39/12.19 tff(26630,plain,
% 17.39/12.19 (~node8(s331)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26629, 271, 26618])).
% 17.39/12.19 tff(26631,plain,
% 17.39/12.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s331, s332)) | node14(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s331, s332)) | node14(s331, s332))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26632,plain,
% 17.39/12.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s331, s332)) | node14(s331, s332))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26633,plain,
% 17.39/12.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s331, s332)) | node14(s331, s332)),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26632, 26631])).
% 17.39/12.19 tff(26634,plain,
% 17.39/12.19 (node14(s331, s332)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26633, 46, 26565])).
% 17.39/12.19 tff(26635,plain,
% 17.39/12.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | node9(s331) | node8(s331) | node10(s331) | (~node14(s331, s332)) | m_main_v_state2(s332, 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(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | node9(s331) | node8(s331) | node10(s331) | (~node14(s331, s332)) | m_main_v_state2(s332, c_c2))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26636,plain,
% 17.39/12.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | node9(s331) | node8(s331) | node10(s331) | (~node14(s331, s332)) | m_main_v_state2(s332, c_c2))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26637,plain,
% 17.39/12.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | node9(s331) | node8(s331) | node10(s331) | (~node14(s331, s332)) | m_main_v_state2(s332, c_c2)),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26636, 26635])).
% 17.39/12.19 tff(26638,plain,
% 17.39/12.19 ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | node9(s331) | node8(s331) | node10(s331) | m_main_v_state2(s332, c_c2)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26637, 617, 26634])).
% 17.39/12.19 tff(26639,plain,
% 17.39/12.19 (m_main_v_state2(s332, c_c2)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26638, 26630, 26502, 26558, 26626, 26622])).
% 17.39/12.19 tff(26640,plain,
% 17.39/12.19 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s332, c_n2)) | (~m_main_v_state2(s332, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s332, c_n2)) | (~m_main_v_state2(s332, c_c2)))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26641,plain,
% 17.39/12.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s332, c_n2)) | (~m_main_v_state2(s332, c_c2)))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26642,plain,
% 17.39/12.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s332, c_n2)) | (~m_main_v_state2(s332, c_c2))),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26641, 26640])).
% 17.39/12.19 tff(26643,plain,
% 17.39/12.19 (~m_main_v_state2(s332, c_n2)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26642, 697, 26639])).
% 17.39/12.19 tff(26644,plain,
% 17.39/12.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s332, c_n2) | (~node4(s332)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s332, c_n2) | (~node4(s332)))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26645,plain,
% 17.39/12.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s332, c_n2) | (~node4(s332)))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26646,plain,
% 17.39/12.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s332, c_n2) | (~node4(s332))),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26645, 26644])).
% 17.39/12.19 tff(26647,plain,
% 17.39/12.19 (~node4(s332)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26646, 388, 26643])).
% 17.39/12.19 tff(26648,plain,
% 17.39/12.19 (succ(s332, s333) <=> succ(s332, s333)),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26649,axiom,(succ(s332, s333)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound333')).
% 17.39/12.19 tff(26650,plain,
% 17.39/12.19 (succ(s332, s333)),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26649, 26648])).
% 17.39/12.19 tff(26651,plain,
% 17.39/12.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s332, s333)) | trans(s332, s333))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s332, s333)) | trans(s332, s333))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26652,plain,
% 17.39/12.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s332, s333)) | trans(s332, s333))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26653,plain,
% 17.39/12.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s332, s333)) | trans(s332, s333)),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26652, 26651])).
% 17.39/12.19 tff(26654,plain,
% 17.39/12.19 (trans(s332, s333)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26653, 26650, 32])).
% 17.39/12.19 tff(26655,plain,
% 17.39/12.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s332, s333)) | node7(s332, s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s332, s333)) | node7(s332, s333))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26656,plain,
% 17.39/12.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s332, s333)) | node7(s332, s333))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26657,plain,
% 17.39/12.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s332, s333)) | node7(s332, s333)),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26656, 26655])).
% 17.39/12.19 tff(26658,plain,
% 17.39/12.19 (node7(s332, s333)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26657, 206, 26654])).
% 17.39/12.19 tff(26659,plain,
% 17.39/12.19 (((~![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(s332, c_c1) | node1(s332) | node2(s332) | node3(s332) | node4(s332) | node5(s332) | node6(s332, s333) | (~node7(s332, s333)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s332, c_c1) | node1(s332) | node2(s332) | node3(s332) | node4(s332) | node5(s332) | node6(s332, s333) | (~node7(s332, s333)))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26660,plain,
% 17.39/12.19 ((~![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(s332, c_c1) | node1(s332) | node2(s332) | node3(s332) | node4(s332) | node5(s332) | node6(s332, s333) | (~node7(s332, s333)))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26661,plain,
% 17.39/12.19 ((~![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(s332, c_c1) | node1(s332) | node2(s332) | node3(s332) | node4(s332) | node5(s332) | node6(s332, s333) | (~node7(s332, s333))),
% 17.39/12.19 inference(modus_ponens,[status(thm)],[26660, 26659])).
% 17.39/12.19 tff(26662,plain,
% 17.39/12.19 (m_main_v_state1(s332, c_c1) | node1(s332) | node2(s332) | node3(s332) | node4(s332) | node5(s332) | node6(s332, s333)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26661, 820, 26658])).
% 17.39/12.19 tff(26663,plain,
% 17.39/12.19 (node6(s332, s333)),
% 17.39/12.19 inference(unit_resolution,[status(thm)],[26662, 26647, 26611, 26607, 26603, 26599, 26582])).
% 17.39/12.19 tff(26664,plain,
% 17.39/12.19 (((~![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(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333)))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26665,plain,
% 17.39/12.19 (((~node6(s332, s333)) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1)) <=> ((~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333)))),
% 17.39/12.19 inference(rewrite,[status(thm)],[])).
% 17.39/12.19 tff(26666,plain,
% 17.39/12.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s332, s333)) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, 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(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333))))),
% 17.39/12.19 inference(monotonicity,[status(thm)],[26665])).
% 17.39/12.19 tff(26667,plain,
% 17.39/12.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s332, s333)) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, 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(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333)))),
% 17.39/12.19 inference(transitivity,[status(thm)],[26666, 26664])).
% 17.39/12.19 tff(26668,plain,
% 17.39/12.19 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s332, s333)) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1))),
% 17.39/12.19 inference(quant_inst,[status(thm)],[])).
% 17.39/12.19 tff(26669,plain,
% 17.39/12.19 ((~![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(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26668, 26667])).
% 17.39/12.20 tff(26670,plain,
% 17.39/12.20 (m_main_v_state1(s333, c_t1)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26669, 856, 26574, 26663])).
% 17.39/12.20 tff(26671,plain,
% 17.39/12.20 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s332, c_t2)) | (~m_main_v_state2(s332, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s332, c_t2)) | (~m_main_v_state2(s332, c_c2)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26672,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s332, c_t2)) | (~m_main_v_state2(s332, c_c2)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26673,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s332, c_t2)) | (~m_main_v_state2(s332, c_c2))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26672, 26671])).
% 17.39/12.20 tff(26674,plain,
% 17.39/12.20 (~m_main_v_state2(s332, c_t2)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26673, 260, 26639])).
% 17.39/12.20 tff(26675,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s332, c_t2) | (~node12(s332)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s332, c_t2) | (~node12(s332)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26676,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s332, c_t2) | (~node12(s332)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26677,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s332, c_t2) | (~node12(s332))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26676, 26675])).
% 17.39/12.20 tff(26678,plain,
% 17.39/12.20 (~node12(s332)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26677, 633, 26674])).
% 17.39/12.20 tff(26679,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s332, c_n1) | (~node11(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s332, c_n1) | (~node11(s332)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26680,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s332, c_n1) | (~node11(s332)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26681,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s332, c_n1) | (~node11(s332))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 17.39/12.20 tff(26682,plain,
% 17.39/12.20 (~node11(s332)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26681, 238, 26578])).
% 17.39/12.20 tff(26683,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s332, c_c1) | (~node10(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s332, c_c1) | (~node10(s332)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26684,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s332, c_c1) | (~node10(s332)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26685,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s332, c_c1) | (~node10(s332))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26684, 26683])).
% 17.39/12.20 tff(26686,plain,
% 17.39/12.20 (~node10(s332)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26685, 675, 26611])).
% 17.39/12.20 tff(26687,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s332, c_n1) | (~node9(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s332, c_n1) | (~node9(s332)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26688,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s332, c_n1) | (~node9(s332)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26689,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s332, c_n1) | (~node9(s332))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26688, 26687])).
% 17.39/12.20 tff(26690,plain,
% 17.39/12.20 (~node9(s332)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26689, 686, 26578])).
% 17.39/12.20 tff(26691,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s332, c_n2) | (~node8(s332)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s332, c_n2) | (~node8(s332)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26692,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s332, c_n2) | (~node8(s332)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26693,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s332, c_n2) | (~node8(s332))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26692, 26691])).
% 17.39/12.20 tff(26694,plain,
% 17.39/12.20 (~node8(s332)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26693, 271, 26643])).
% 17.39/12.20 tff(26695,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s332, s333)) | node14(s332, s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s332, s333)) | node14(s332, s333))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26696,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s332, s333)) | node14(s332, s333))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26697,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s332, s333)) | node14(s332, s333)),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26696, 26695])).
% 17.39/12.20 tff(26698,plain,
% 17.39/12.20 (node14(s332, s333)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26697, 46, 26654])).
% 17.39/12.20 tff(26699,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, 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(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26700,plain,
% 17.39/12.20 (((~m_main_v_state2(s332, c_c2)) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | m_main_v_state2(s333, c_n2)) <=> (m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26701,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s332, c_c2)) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | m_main_v_state2(s333, 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(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2))))),
% 17.39/12.20 inference(monotonicity,[status(thm)],[26700])).
% 17.39/12.20 tff(26702,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s332, c_c2)) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | m_main_v_state2(s333, 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(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2)))),
% 17.39/12.20 inference(transitivity,[status(thm)],[26701, 26699])).
% 17.39/12.20 tff(26703,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s332, c_c2)) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | m_main_v_state2(s333, c_n2))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26704,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26703, 26702])).
% 17.39/12.20 tff(26705,plain,
% 17.39/12.20 (m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~m_main_v_state2(s332, c_c2))),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26704, 726, 26698])).
% 17.39/12.20 tff(26706,plain,
% 17.39/12.20 (m_main_v_state2(s333, c_n2)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26705, 26694, 26639, 26690, 26686, 26682, 26678])).
% 17.39/12.20 tff(26707,plain,
% 17.39/12.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_t2)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26708,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_t2)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26709,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_t2))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26708, 26707])).
% 17.39/12.20 tff(26710,plain,
% 17.39/12.20 (~m_main_v_state2(s333, c_t2)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26709, 77, 26706])).
% 17.39/12.20 tff(26711,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s333, c_t2) | (~node15(s333)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s333, c_t2) | (~node15(s333)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26712,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s333, c_t2) | (~node15(s333)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26713,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s333, c_t2) | (~node15(s333))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26712, 26711])).
% 17.39/12.20 tff(26714,plain,
% 17.39/12.20 (~node15(s333)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26713, 103, 26710])).
% 17.39/12.20 tff(26715,plain,
% 17.39/12.20 (succ(s333, s334) <=> succ(s333, s334)),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26716,axiom,(succ(s333, s334)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound334')).
% 17.39/12.20 tff(26717,plain,
% 17.39/12.20 (succ(s333, s334)),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26716, 26715])).
% 17.39/12.20 tff(26718,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s333, s334)) | trans(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s333, s334)) | trans(s333, s334))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26719,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s333, s334)) | trans(s333, s334))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26720,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s333, s334)) | trans(s333, s334)),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26719, 26718])).
% 17.39/12.20 tff(26721,plain,
% 17.39/12.20 (trans(s333, s334)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26720, 26717, 32])).
% 17.39/12.20 tff(26722,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s333, s334)) | node18(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s333, s334)) | node18(s333, s334))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26723,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s333, s334)) | node18(s333, s334))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26724,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s333, s334)) | node18(s333, s334)),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26723, 26722])).
% 17.39/12.20 tff(26725,plain,
% 17.39/12.20 (node18(s333, s334)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26724, 125, 26721])).
% 17.39/12.20 tff(26726,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26727,plain,
% 17.39/12.20 (((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node15(s333) | (~node18(s333, s334)) | m_main_v_turn(s334, c_1)) <=> (node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26728,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node15(s333) | (~node18(s333, s334)) | m_main_v_turn(s334, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1)))),
% 17.39/12.20 inference(monotonicity,[status(thm)],[26727])).
% 17.39/12.20 tff(26729,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node15(s333) | (~node18(s333, s334)) | m_main_v_turn(s334, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1))),
% 17.39/12.20 inference(transitivity,[status(thm)],[26728, 26726])).
% 17.39/12.20 tff(26730,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node15(s333) | (~node18(s333, s334)) | m_main_v_turn(s334, c_1))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26731,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1)),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26730, 26729])).
% 17.39/12.20 tff(26732,plain,
% 17.39/12.20 (node15(s333) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26731, 992, 26725])).
% 17.39/12.20 tff(26733,plain,
% 17.39/12.20 (m_main_v_turn(s334, c_1)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26732, 26714, 26706, 26670])).
% 17.39/12.20 tff(26734,plain,
% 17.39/12.20 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s334, c_1)) | (~m_main_v_turn(s334, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s334, c_1)) | (~m_main_v_turn(s334, c_2)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26735,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s334, c_1)) | (~m_main_v_turn(s334, c_2)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26736,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s334, c_1)) | (~m_main_v_turn(s334, c_2))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26735, 26734])).
% 17.39/12.20 tff(26737,plain,
% 17.39/12.20 (~m_main_v_turn(s334, c_2)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26736, 156, 26733])).
% 17.39/12.20 tff(26738,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s334, c_2) | (~node12(s334)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s334, c_2) | (~node12(s334)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26739,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s334, c_2) | (~node12(s334)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26740,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s334, c_2) | (~node12(s334))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26739, 26738])).
% 17.39/12.20 tff(26741,plain,
% 17.39/12.20 (~node12(s334)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26740, 184, 26737])).
% 17.39/12.20 tff(26742,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s333, s334)) | node14(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s333, s334)) | node14(s333, s334))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26743,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s333, s334)) | node14(s333, s334))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26744,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s333, s334)) | node14(s333, s334)),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26743, 26742])).
% 17.39/12.20 tff(26745,plain,
% 17.39/12.20 (node14(s333, s334)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26744, 46, 26721])).
% 17.39/12.20 tff(26746,plain,
% 17.39/12.20 (((~![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(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | (~node14(s333, s334)) | m_main_v_state2(s334, 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(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | (~node14(s333, s334)) | m_main_v_state2(s334, c_t2))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26747,plain,
% 17.39/12.20 ((~![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(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | (~node14(s333, s334)) | m_main_v_state2(s334, c_t2))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26748,plain,
% 17.39/12.20 ((~![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(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | (~node14(s333, s334)) | m_main_v_state2(s334, c_t2)),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26747, 26746])).
% 17.39/12.20 tff(26749,plain,
% 17.39/12.20 ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state2(s334, c_t2)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26748, 922, 26745])).
% 17.39/12.20 tff(26750,plain,
% 17.39/12.20 (m_main_v_state2(s334, c_t2)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26749, 26670, 26706])).
% 17.39/12.20 tff(26751,plain,
% 17.39/12.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s334, c_n2)) | (~m_main_v_state2(s334, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s334, c_n2)) | (~m_main_v_state2(s334, c_t2)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26752,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s334, c_n2)) | (~m_main_v_state2(s334, c_t2)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26753,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s334, c_n2)) | (~m_main_v_state2(s334, c_t2))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26752, 26751])).
% 17.39/12.20 tff(26754,plain,
% 17.39/12.20 (~m_main_v_state2(s334, c_n2)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26753, 77, 26750])).
% 17.39/12.20 tff(26755,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s334, c_n2) | (~node8(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s334, c_n2) | (~node8(s334)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26756,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s334, c_n2) | (~node8(s334)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26757,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s334, c_n2) | (~node8(s334))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26756, 26755])).
% 17.39/12.20 tff(26758,plain,
% 17.39/12.20 (~node8(s334)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26757, 271, 26754])).
% 17.39/12.20 tff(26759,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s334, c_n2) | (~node9(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s334, c_n2) | (~node9(s334)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26760,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s334, c_n2) | (~node9(s334)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26761,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s334, c_n2) | (~node9(s334))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26760, 26759])).
% 17.39/12.20 tff(26762,plain,
% 17.39/12.20 (~node9(s334)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26761, 88, 26754])).
% 17.39/12.20 tff(26763,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s334, c_n2) | (~node10(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s334, c_n2) | (~node10(s334)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26764,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s334, c_n2) | (~node10(s334)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26765,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s334, c_n2) | (~node10(s334))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26764, 26763])).
% 17.39/12.20 tff(26766,plain,
% 17.39/12.20 (~node10(s334)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26765, 249, 26754])).
% 17.39/12.20 tff(26767,plain,
% 17.39/12.20 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s334, c_t2)) | (~m_main_v_state2(s334, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s334, c_t2)) | (~m_main_v_state2(s334, c_c2)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26768,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s334, c_t2)) | (~m_main_v_state2(s334, c_c2)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26769,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s334, c_t2)) | (~m_main_v_state2(s334, c_c2))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26768, 26767])).
% 17.39/12.20 tff(26770,plain,
% 17.39/12.20 (~m_main_v_state2(s334, c_c2)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26769, 260, 26750])).
% 17.39/12.20 tff(26771,plain,
% 17.39/12.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_c2)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26772,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_c2)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26773,plain,
% 17.39/12.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_c2))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26772, 26771])).
% 17.39/12.20 tff(26774,plain,
% 17.39/12.20 (~m_main_v_state2(s333, c_c2)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26773, 697, 26706])).
% 17.39/12.20 tff(26775,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s333, c_c2) | (~node3(s333)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s333, c_c2) | (~node3(s333)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26776,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s333, c_c2) | (~node3(s333)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26777,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s333, c_c2) | (~node3(s333))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26776, 26775])).
% 17.39/12.20 tff(26778,plain,
% 17.39/12.20 (~node3(s333)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26777, 399, 26774])).
% 17.39/12.20 tff(26779,plain,
% 17.39/12.20 (((~![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(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26780,plain,
% 17.39/12.20 (((~node6(s332, s333)) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1))) <=> (m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26781,plain,
% 17.39/12.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s332, s333)) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, 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(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333))))),
% 17.39/12.20 inference(monotonicity,[status(thm)],[26780])).
% 17.39/12.20 tff(26782,plain,
% 17.39/12.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s332, s333)) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, 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(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333)))),
% 17.39/12.20 inference(transitivity,[status(thm)],[26781, 26779])).
% 17.39/12.20 tff(26783,plain,
% 17.39/12.20 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s332, s333)) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26784,plain,
% 17.39/12.20 ((~![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(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26783, 26782])).
% 17.39/12.20 tff(26785,plain,
% 17.39/12.20 (~m_main_v_state1(s333, c_n1)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26784, 835, 26578, 26663])).
% 17.39/12.20 tff(26786,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s333, c_n1) | (~node2(s333)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s333, c_n1) | (~node2(s333)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26787,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s333, c_n1) | (~node2(s333)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26788,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s333, c_n1) | (~node2(s333))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26787, 26786])).
% 17.39/12.20 tff(26789,plain,
% 17.39/12.20 (~node2(s333)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26788, 787, 26785])).
% 17.39/12.20 tff(26790,plain,
% 17.39/12.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s333, c_t2) | (~node1(s333)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s333, c_t2) | (~node1(s333)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26791,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s333, c_t2) | (~node1(s333)))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26792,plain,
% 17.39/12.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s333, c_t2) | (~node1(s333))),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26791, 26790])).
% 17.39/12.20 tff(26793,plain,
% 17.39/12.20 (~node1(s333)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26792, 195, 26710])).
% 17.39/12.20 tff(26794,plain,
% 17.39/12.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s333, s334)) | node7(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s333, s334)) | node7(s333, s334))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26795,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s333, s334)) | node7(s333, s334))),
% 17.39/12.20 inference(quant_inst,[status(thm)],[])).
% 17.39/12.20 tff(26796,plain,
% 17.39/12.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s333, s334)) | node7(s333, s334)),
% 17.39/12.20 inference(modus_ponens,[status(thm)],[26795, 26794])).
% 17.39/12.20 tff(26797,plain,
% 17.39/12.20 (node7(s333, s334)),
% 17.39/12.20 inference(unit_resolution,[status(thm)],[26796, 206, 26721])).
% 17.39/12.20 tff(26798,plain,
% 17.39/12.20 (((~![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(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)))),
% 17.39/12.20 inference(rewrite,[status(thm)],[])).
% 17.39/12.20 tff(26799,plain,
% 17.39/12.21 (((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)) | m_main_v_state1(s334, c_c1)) <=> ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26800,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)) | m_main_v_state1(s334, 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(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334))))),
% 17.39/12.21 inference(monotonicity,[status(thm)],[26799])).
% 17.39/12.21 tff(26801,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)) | m_main_v_state1(s334, 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(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)))),
% 17.39/12.21 inference(transitivity,[status(thm)],[26800, 26798])).
% 17.39/12.21 tff(26802,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)) | m_main_v_state1(s334, c_c1))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26803,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26802, 26801])).
% 17.39/12.21 tff(26804,plain,
% 17.39/12.21 ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26803, 892, 26797])).
% 17.39/12.21 tff(26805,plain,
% 17.39/12.21 (m_main_v_state1(s334, c_c1)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26804, 26793, 26706, 26670, 26789, 26778])).
% 17.39/12.21 tff(26806,plain,
% 17.39/12.21 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s334, c_n1)) | (~m_main_v_state1(s334, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s334, c_n1)) | (~m_main_v_state1(s334, c_c1)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26807,plain,
% 17.39/12.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s334, c_n1)) | (~m_main_v_state1(s334, c_c1)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26808,plain,
% 17.39/12.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s334, c_n1)) | (~m_main_v_state1(s334, c_c1))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26807, 26806])).
% 17.39/12.21 tff(26809,plain,
% 17.39/12.21 (~m_main_v_state1(s334, c_n1)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26808, 454, 26805])).
% 17.39/12.21 tff(26810,plain,
% 17.39/12.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s334, c_n1) | (~node11(s334)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s334, c_n1) | (~node11(s334)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26811,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s334, c_n1) | (~node11(s334)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26812,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s334, c_n1) | (~node11(s334))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26811, 26810])).
% 17.39/12.21 tff(26813,plain,
% 17.39/12.21 (~node11(s334)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26812, 238, 26809])).
% 17.39/12.21 tff(26814,plain,
% 17.39/12.21 (succ(s334, s335) <=> succ(s334, s335)),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26815,axiom,(succ(s334, s335)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound335')).
% 17.39/12.21 tff(26816,plain,
% 17.39/12.21 (succ(s334, s335)),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26815, 26814])).
% 17.39/12.21 tff(26817,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s334, s335)) | trans(s334, s335))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s334, s335)) | trans(s334, s335))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26818,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s334, s335)) | trans(s334, s335))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26819,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s334, s335)) | trans(s334, s335)),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26818, 26817])).
% 17.39/12.21 tff(26820,plain,
% 17.39/12.21 (trans(s334, s335)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26819, 26816, 32])).
% 17.39/12.21 tff(26821,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s334, s335)) | node14(s334, s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s334, s335)) | node14(s334, s335))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26822,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s334, s335)) | node14(s334, s335))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26823,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s334, s335)) | node14(s334, s335)),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26822, 26821])).
% 17.39/12.21 tff(26824,plain,
% 17.39/12.21 (node14(s334, s335)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26823, 46, 26820])).
% 17.39/12.21 tff(26825,plain,
% 17.39/12.21 (((~![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(s334, c_c2) | node9(s334) | node8(s334) | node10(s334) | node11(s334) | node12(s334) | node13(s334, s335) | (~node14(s334, s335)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s334, c_c2) | node9(s334) | node8(s334) | node10(s334) | node11(s334) | node12(s334) | node13(s334, s335) | (~node14(s334, s335)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26826,plain,
% 17.39/12.21 ((~![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(s334, c_c2) | node9(s334) | node8(s334) | node10(s334) | node11(s334) | node12(s334) | node13(s334, s335) | (~node14(s334, s335)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26827,plain,
% 17.39/12.21 ((~![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(s334, c_c2) | node9(s334) | node8(s334) | node10(s334) | node11(s334) | node12(s334) | node13(s334, s335) | (~node14(s334, s335))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26826, 26825])).
% 17.39/12.21 tff(26828,plain,
% 17.39/12.21 (m_main_v_state2(s334, c_c2) | node9(s334) | node8(s334) | node10(s334) | node11(s334) | node12(s334) | node13(s334, s335)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26827, 296, 26824])).
% 17.39/12.21 tff(26829,plain,
% 17.39/12.21 (node13(s334, s335)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26828, 26813, 26770, 26766, 26762, 26758, 26741])).
% 17.39/12.21 tff(26830,plain,
% 17.39/12.21 (((~![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(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26831,plain,
% 17.39/12.21 (((~node13(s334, s335)) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2))) <=> (m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26832,plain,
% 17.39/12.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s334, s335)) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, 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(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335))))),
% 17.39/12.21 inference(monotonicity,[status(thm)],[26831])).
% 17.39/12.21 tff(26833,plain,
% 17.39/12.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s334, s335)) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, 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(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335)))),
% 17.39/12.21 inference(transitivity,[status(thm)],[26832, 26830])).
% 17.39/12.21 tff(26834,plain,
% 17.39/12.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s334, s335)) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26835,plain,
% 17.39/12.21 ((~![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(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26834, 26833])).
% 17.39/12.21 tff(26836,plain,
% 17.39/12.21 (~m_main_v_state2(s335, c_n2)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26835, 311, 26754, 26829])).
% 17.39/12.21 tff(26837,plain,
% 17.39/12.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s335, c_n2) | (~node9(s335)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s335, c_n2) | (~node9(s335)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26838,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s335, c_n2) | (~node9(s335)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26839,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s335, c_n2) | (~node9(s335))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26838, 26837])).
% 17.39/12.21 tff(26840,plain,
% 17.39/12.21 (~node9(s335)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26839, 88, 26836])).
% 17.39/12.21 tff(26841,plain,
% 17.39/12.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s335, c_n2) | (~node10(s335)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s335, c_n2) | (~node10(s335)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26842,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s335, c_n2) | (~node10(s335)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26843,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s335, c_n2) | (~node10(s335))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26842, 26841])).
% 17.39/12.21 tff(26844,plain,
% 17.39/12.21 (~node10(s335)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26843, 249, 26836])).
% 17.39/12.21 tff(26845,plain,
% 17.39/12.21 (((~![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(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26846,plain,
% 17.39/12.21 (((~node13(s334, s335)) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2)) <=> ((~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26847,plain,
% 17.39/12.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s334, s335)) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, 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(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335))))),
% 17.39/12.21 inference(monotonicity,[status(thm)],[26846])).
% 17.39/12.21 tff(26848,plain,
% 17.39/12.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s334, s335)) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, 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(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335)))),
% 17.39/12.21 inference(transitivity,[status(thm)],[26847, 26845])).
% 17.39/12.21 tff(26849,plain,
% 17.39/12.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s334, s335)) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26850,plain,
% 17.39/12.21 ((~![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(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26849, 26848])).
% 17.39/12.21 tff(26851,plain,
% 17.39/12.21 (m_main_v_state2(s335, c_t2)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26850, 518, 26750, 26829])).
% 17.39/12.21 tff(26852,plain,
% 17.39/12.21 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s334, c_t1)) | (~m_main_v_state1(s334, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s334, c_t1)) | (~m_main_v_state1(s334, c_c1)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26853,plain,
% 17.39/12.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s334, c_t1)) | (~m_main_v_state1(s334, c_c1)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26854,plain,
% 17.39/12.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s334, c_t1)) | (~m_main_v_state1(s334, c_c1))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26853, 26852])).
% 17.39/12.21 tff(26855,plain,
% 17.39/12.21 (~m_main_v_state1(s334, c_t1)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26854, 539, 26805])).
% 17.39/12.21 tff(26856,plain,
% 17.39/12.21 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s334, c_t1) | (~node5(s334)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s334, c_t1) | (~node5(s334)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26857,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s334, c_t1) | (~node5(s334)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26858,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s334, c_t1) | (~node5(s334))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26857, 26856])).
% 17.39/12.21 tff(26859,plain,
% 17.39/12.21 (~node5(s334)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26858, 550, 26855])).
% 17.39/12.21 tff(26860,plain,
% 17.39/12.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s334, c_n2) | (~node4(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s334, c_n2) | (~node4(s334)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26861,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s334, c_n2) | (~node4(s334)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26862,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s334, c_n2) | (~node4(s334))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26861, 26860])).
% 17.39/12.21 tff(26863,plain,
% 17.39/12.21 (~node4(s334)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26862, 388, 26754])).
% 17.39/12.21 tff(26864,plain,
% 17.39/12.21 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s334, c_c2) | (~node3(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s334, c_c2) | (~node3(s334)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26865,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s334, c_c2) | (~node3(s334)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26866,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s334, c_c2) | (~node3(s334))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26865, 26864])).
% 17.39/12.21 tff(26867,plain,
% 17.39/12.21 (~node3(s334)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26866, 399, 26770])).
% 17.39/12.21 tff(26868,plain,
% 17.39/12.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s334, c_n2) | (~node2(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s334, c_n2) | (~node2(s334)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26869,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s334, c_n2) | (~node2(s334)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26870,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s334, c_n2) | (~node2(s334))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26869, 26868])).
% 17.39/12.21 tff(26871,plain,
% 17.39/12.21 (~node2(s334)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26870, 410, 26754])).
% 17.39/12.21 tff(26872,plain,
% 17.39/12.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s334, c_n1) | (~node1(s334)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s334, c_n1) | (~node1(s334)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26873,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s334, c_n1) | (~node1(s334)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26874,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s334, c_n1) | (~node1(s334))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26873, 26872])).
% 17.39/12.21 tff(26875,plain,
% 17.39/12.21 (~node1(s334)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26874, 421, 26809])).
% 17.39/12.21 tff(26876,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s334, s335)) | node7(s334, s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s334, s335)) | node7(s334, s335))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26877,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s334, s335)) | node7(s334, s335))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26878,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s334, s335)) | node7(s334, s335)),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26877, 26876])).
% 17.39/12.21 tff(26879,plain,
% 17.39/12.21 (node7(s334, s335)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26878, 206, 26820])).
% 17.39/12.21 tff(26880,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26881,plain,
% 17.39/12.21 (((~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)) | m_main_v_state1(s335, c_n1)) <=> (m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26882,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)) | m_main_v_state1(s335, 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(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335))))),
% 17.39/12.21 inference(monotonicity,[status(thm)],[26881])).
% 17.39/12.21 tff(26883,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)) | m_main_v_state1(s335, 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(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)))),
% 17.39/12.21 inference(transitivity,[status(thm)],[26882, 26880])).
% 17.39/12.21 tff(26884,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)) | m_main_v_state1(s335, c_n1))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26885,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26884, 26883])).
% 17.39/12.21 tff(26886,plain,
% 17.39/12.21 (m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26885, 584, 26879])).
% 17.39/12.21 tff(26887,plain,
% 17.39/12.21 (m_main_v_state1(s335, c_n1)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26886, 26875, 26805, 26871, 26867, 26863, 26859])).
% 17.39/12.21 tff(26888,plain,
% 17.39/12.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s335, c_n2) | (~node8(s335)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s335, c_n2) | (~node8(s335)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26889,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s335, c_n2) | (~node8(s335)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26890,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s335, c_n2) | (~node8(s335))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26889, 26888])).
% 17.39/12.21 tff(26891,plain,
% 17.39/12.21 (~node8(s335)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26890, 271, 26836])).
% 17.39/12.21 tff(26892,plain,
% 17.39/12.21 (succ(s335, s336) <=> succ(s335, s336)),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26893,axiom,(succ(s335, s336)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound336')).
% 17.39/12.21 tff(26894,plain,
% 17.39/12.21 (succ(s335, s336)),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26893, 26892])).
% 17.39/12.21 tff(26895,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s335, s336)) | trans(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s335, s336)) | trans(s335, s336))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26896,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s335, s336)) | trans(s335, s336))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26897,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s335, s336)) | trans(s335, s336)),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26896, 26895])).
% 17.39/12.21 tff(26898,plain,
% 17.39/12.21 (trans(s335, s336)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26897, 26894, 32])).
% 17.39/12.21 tff(26899,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s335, s336)) | node14(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s335, s336)) | node14(s335, s336))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26900,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s335, s336)) | node14(s335, s336))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26901,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s335, s336)) | node14(s335, s336)),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26900, 26899])).
% 17.39/12.21 tff(26902,plain,
% 17.39/12.21 (node14(s335, s336)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26901, 46, 26898])).
% 17.39/12.21 tff(26903,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | node9(s335) | node8(s335) | node10(s335) | (~node14(s335, s336)) | m_main_v_state2(s336, 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(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | node9(s335) | node8(s335) | node10(s335) | (~node14(s335, s336)) | m_main_v_state2(s336, c_c2))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26904,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | node9(s335) | node8(s335) | node10(s335) | (~node14(s335, s336)) | m_main_v_state2(s336, c_c2))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26905,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | node9(s335) | node8(s335) | node10(s335) | (~node14(s335, s336)) | m_main_v_state2(s336, c_c2)),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26904, 26903])).
% 17.39/12.21 tff(26906,plain,
% 17.39/12.21 ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | node9(s335) | node8(s335) | node10(s335) | m_main_v_state2(s336, c_c2)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26905, 617, 26902])).
% 17.39/12.21 tff(26907,plain,
% 17.39/12.21 (m_main_v_state2(s336, c_c2)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26906, 26891, 26887, 26851, 26844, 26840])).
% 17.39/12.21 tff(26908,plain,
% 17.39/12.21 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s336, c_t2)) | (~m_main_v_state2(s336, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s336, c_t2)) | (~m_main_v_state2(s336, c_c2)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26909,plain,
% 17.39/12.21 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s336, c_t2)) | (~m_main_v_state2(s336, c_c2)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26910,plain,
% 17.39/12.21 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s336, c_t2)) | (~m_main_v_state2(s336, c_c2))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26909, 26908])).
% 17.39/12.21 tff(26911,plain,
% 17.39/12.21 (~m_main_v_state2(s336, c_t2)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26910, 260, 26907])).
% 17.39/12.21 tff(26912,plain,
% 17.39/12.21 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s336, c_t2) | (~node12(s336)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s336, c_t2) | (~node12(s336)))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26913,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s336, c_t2) | (~node12(s336)))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26914,plain,
% 17.39/12.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s336, c_t2) | (~node12(s336))),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26913, 26912])).
% 17.39/12.21 tff(26915,plain,
% 17.39/12.21 (~node12(s336)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26914, 633, 26911])).
% 17.39/12.21 tff(26916,plain,
% 17.39/12.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s335, s336)) | node7(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s335, s336)) | node7(s335, s336))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26917,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s335, s336)) | node7(s335, s336))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.21 tff(26918,plain,
% 17.39/12.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s335, s336)) | node7(s335, s336)),
% 17.39/12.21 inference(modus_ponens,[status(thm)],[26917, 26916])).
% 17.39/12.21 tff(26919,plain,
% 17.39/12.21 (node7(s335, s336)),
% 17.39/12.21 inference(unit_resolution,[status(thm)],[26918, 206, 26898])).
% 17.39/12.21 tff(26920,plain,
% 17.39/12.21 (((~![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(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node7(s335, s336)) | m_main_v_state1(s336, 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(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node7(s335, s336)) | m_main_v_state1(s336, c_t1))),
% 17.39/12.21 inference(rewrite,[status(thm)],[])).
% 17.39/12.21 tff(26921,plain,
% 17.39/12.21 ((~![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(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node7(s335, s336)) | m_main_v_state1(s336, c_t1))),
% 17.39/12.21 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26922,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node7(s335, s336)) | m_main_v_state1(s336, c_t1)),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26921, 26920])).
% 17.39/12.22 tff(26923,plain,
% 17.39/12.22 ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | m_main_v_state1(s336, c_t1)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26922, 651, 26919])).
% 17.39/12.22 tff(26924,plain,
% 17.39/12.22 (m_main_v_state1(s336, c_t1)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26923, 26851, 26887])).
% 17.39/12.22 tff(26925,plain,
% 17.39/12.22 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s336, c_n1)) | (~m_main_v_state1(s336, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s336, c_n1)) | (~m_main_v_state1(s336, c_t1)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26926,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s336, c_n1)) | (~m_main_v_state1(s336, c_t1)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26927,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s336, c_n1)) | (~m_main_v_state1(s336, c_t1))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 17.39/12.22 tff(26928,plain,
% 17.39/12.22 (~m_main_v_state1(s336, c_n1)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26927, 10, 26924])).
% 17.39/12.22 tff(26929,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s336, c_n1) | (~node11(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s336, c_n1) | (~node11(s336)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26930,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s336, c_n1) | (~node11(s336)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26931,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s336, c_n1) | (~node11(s336))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26930, 26929])).
% 17.39/12.22 tff(26932,plain,
% 17.39/12.22 (~node11(s336)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26931, 238, 26928])).
% 17.39/12.22 tff(26933,plain,
% 17.39/12.22 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s336, c_t1)) | (~m_main_v_state1(s336, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s336, c_t1)) | (~m_main_v_state1(s336, c_c1)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26934,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s336, c_t1)) | (~m_main_v_state1(s336, c_c1)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26935,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s336, c_t1)) | (~m_main_v_state1(s336, c_c1))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26934, 26933])).
% 17.39/12.22 tff(26936,plain,
% 17.39/12.22 (~m_main_v_state1(s336, c_c1)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26935, 539, 26924])).
% 17.39/12.22 tff(26937,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s336, c_c1) | (~node10(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s336, c_c1) | (~node10(s336)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26938,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s336, c_c1) | (~node10(s336)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26939,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s336, c_c1) | (~node10(s336))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26938, 26937])).
% 17.39/12.22 tff(26940,plain,
% 17.39/12.22 (~node10(s336)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26939, 675, 26936])).
% 17.39/12.22 tff(26941,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s336, c_n1) | (~node9(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s336, c_n1) | (~node9(s336)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26942,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s336, c_n1) | (~node9(s336)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26943,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s336, c_n1) | (~node9(s336))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26942, 26941])).
% 17.39/12.22 tff(26944,plain,
% 17.39/12.22 (~node9(s336)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26943, 686, 26928])).
% 17.39/12.22 tff(26945,plain,
% 17.39/12.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s336, c_n2)) | (~m_main_v_state2(s336, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s336, c_n2)) | (~m_main_v_state2(s336, c_c2)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26946,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s336, c_n2)) | (~m_main_v_state2(s336, c_c2)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26947,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s336, c_n2)) | (~m_main_v_state2(s336, c_c2))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26946, 26945])).
% 17.39/12.22 tff(26948,plain,
% 17.39/12.22 (~m_main_v_state2(s336, c_n2)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26947, 697, 26907])).
% 17.39/12.22 tff(26949,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s336, c_n2) | (~node8(s336)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s336, c_n2) | (~node8(s336)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26950,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s336, c_n2) | (~node8(s336)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26951,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s336, c_n2) | (~node8(s336))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26950, 26949])).
% 17.39/12.22 tff(26952,plain,
% 17.39/12.22 (~node8(s336)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26951, 271, 26948])).
% 17.39/12.22 tff(26953,plain,
% 17.39/12.22 (succ(s336, s337) <=> succ(s336, s337)),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26954,axiom,(succ(s336, s337)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound337')).
% 17.39/12.22 tff(26955,plain,
% 17.39/12.22 (succ(s336, s337)),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26954, 26953])).
% 17.39/12.22 tff(26956,plain,
% 17.39/12.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s336, s337)) | trans(s336, s337))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s336, s337)) | trans(s336, s337))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26957,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s336, s337)) | trans(s336, s337))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26958,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s336, s337)) | trans(s336, s337)),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26957, 26956])).
% 17.39/12.22 tff(26959,plain,
% 17.39/12.22 (trans(s336, s337)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26958, 26955, 32])).
% 17.39/12.22 tff(26960,plain,
% 17.39/12.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s336, s337)) | node14(s336, s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s336, s337)) | node14(s336, s337))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26961,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s336, s337)) | node14(s336, s337))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26962,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s336, s337)) | node14(s336, s337)),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26961, 26960])).
% 17.39/12.22 tff(26963,plain,
% 17.39/12.22 (node14(s336, s337)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26962, 46, 26959])).
% 17.39/12.22 tff(26964,plain,
% 17.39/12.22 (((~![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(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, 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(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26965,plain,
% 17.39/12.22 (((~m_main_v_state2(s336, c_c2)) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | m_main_v_state2(s337, c_n2)) <=> (m_main_v_state2(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26966,plain,
% 17.39/12.22 (((~![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(s336, c_c2)) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | m_main_v_state2(s337, 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(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2))))),
% 17.39/12.22 inference(monotonicity,[status(thm)],[26965])).
% 17.39/12.22 tff(26967,plain,
% 17.39/12.22 (((~![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(s336, c_c2)) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | m_main_v_state2(s337, 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(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2)))),
% 17.39/12.22 inference(transitivity,[status(thm)],[26966, 26964])).
% 17.39/12.22 tff(26968,plain,
% 17.39/12.22 ((~![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(s336, c_c2)) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | m_main_v_state2(s337, c_n2))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26969,plain,
% 17.39/12.22 ((~![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(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26968, 26967])).
% 17.39/12.22 tff(26970,plain,
% 17.39/12.22 (m_main_v_state2(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~m_main_v_state2(s336, c_c2))),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26969, 726, 26963])).
% 17.39/12.22 tff(26971,plain,
% 17.39/12.22 (m_main_v_state2(s337, c_n2)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26970, 26952, 26907, 26944, 26940, 26932, 26915])).
% 17.39/12.22 tff(26972,plain,
% 17.39/12.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_c2)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26973,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_c2)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26974,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_c2))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26973, 26972])).
% 17.39/12.22 tff(26975,plain,
% 17.39/12.22 (~m_main_v_state2(s337, c_c2)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26974, 697, 26971])).
% 17.39/12.22 tff(26976,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s337, c_c2) | (~node3(s337)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s337, c_c2) | (~node3(s337)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26977,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s337, c_c2) | (~node3(s337)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26978,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s337, c_c2) | (~node3(s337))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26977, 26976])).
% 17.39/12.22 tff(26979,plain,
% 17.39/12.22 (~node3(s337)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26978, 399, 26975])).
% 17.39/12.22 tff(26980,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s336, c_n1) | (~node1(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s336, c_n1) | (~node1(s336)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26981,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s336, c_n1) | (~node1(s336)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26982,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s336, c_n1) | (~node1(s336))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26981, 26980])).
% 17.39/12.22 tff(26983,plain,
% 17.39/12.22 (~node1(s336)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26982, 421, 26928])).
% 17.39/12.22 tff(26984,plain,
% 17.39/12.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s335, s336)) | node18(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s335, s336)) | node18(s335, s336))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26985,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s335, s336)) | node18(s335, s336))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26986,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s335, s336)) | node18(s335, s336)),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26985, 26984])).
% 17.39/12.22 tff(26987,plain,
% 17.39/12.22 (node18(s335, s336)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26986, 125, 26898])).
% 17.39/12.22 tff(26988,plain,
% 17.39/12.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node18(s335, s336)) | m_main_v_turn(s336, 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(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node18(s335, s336)) | m_main_v_turn(s336, c_2))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26989,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node18(s335, s336)) | m_main_v_turn(s336, c_2))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26990,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node18(s335, s336)) | m_main_v_turn(s336, c_2)),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26989, 26988])).
% 17.39/12.22 tff(26991,plain,
% 17.39/12.22 ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | m_main_v_turn(s336, c_2)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26990, 760, 26987])).
% 17.39/12.22 tff(26992,plain,
% 17.39/12.22 (m_main_v_turn(s336, c_2)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26991, 26851, 26887])).
% 17.39/12.22 tff(26993,plain,
% 17.39/12.22 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s336, c_1)) | (~m_main_v_turn(s336, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s336, c_1)) | (~m_main_v_turn(s336, c_2)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26994,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s336, c_1)) | (~m_main_v_turn(s336, c_2)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26995,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s336, c_1)) | (~m_main_v_turn(s336, c_2))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26994, 26993])).
% 17.39/12.22 tff(26996,plain,
% 17.39/12.22 (~m_main_v_turn(s336, c_1)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26995, 156, 26992])).
% 17.39/12.22 tff(26997,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s336, c_1) | (~node5(s336)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s336, c_1) | (~node5(s336)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(26998,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s336, c_1) | (~node5(s336)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(26999,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s336, c_1) | (~node5(s336))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[26998, 26997])).
% 17.39/12.22 tff(27000,plain,
% 17.39/12.22 (~node5(s336)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[26999, 776, 26996])).
% 17.39/12.22 tff(27001,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s336, c_n1) | (~node2(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s336, c_n1) | (~node2(s336)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27002,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s336, c_n1) | (~node2(s336)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27003,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s336, c_n1) | (~node2(s336))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27002, 27001])).
% 17.39/12.22 tff(27004,plain,
% 17.39/12.22 (~node2(s336)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27003, 787, 26928])).
% 17.39/12.22 tff(27005,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s336, c_n1) | (~node3(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s336, c_n1) | (~node3(s336)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27006,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s336, c_n1) | (~node3(s336)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27007,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s336, c_n1) | (~node3(s336))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27006, 27005])).
% 17.39/12.22 tff(27008,plain,
% 17.39/12.22 (~node3(s336)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27007, 798, 26928])).
% 17.39/12.22 tff(27009,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s336, c_n2) | (~node4(s336)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s336, c_n2) | (~node4(s336)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27010,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s336, c_n2) | (~node4(s336)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27011,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s336, c_n2) | (~node4(s336))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27010, 27009])).
% 17.39/12.22 tff(27012,plain,
% 17.39/12.22 (~node4(s336)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27011, 388, 26948])).
% 17.39/12.22 tff(27013,plain,
% 17.39/12.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s336, s337)) | node7(s336, s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s336, s337)) | node7(s336, s337))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27014,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s336, s337)) | node7(s336, s337))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27015,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s336, s337)) | node7(s336, s337)),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27014, 27013])).
% 17.39/12.22 tff(27016,plain,
% 17.39/12.22 (node7(s336, s337)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27015, 206, 26959])).
% 17.39/12.22 tff(27017,plain,
% 17.39/12.22 (((~![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(s336, c_c1) | node1(s336) | node2(s336) | node3(s336) | node4(s336) | node5(s336) | node6(s336, s337) | (~node7(s336, s337)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s336, c_c1) | node1(s336) | node2(s336) | node3(s336) | node4(s336) | node5(s336) | node6(s336, s337) | (~node7(s336, s337)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27018,plain,
% 17.39/12.22 ((~![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(s336, c_c1) | node1(s336) | node2(s336) | node3(s336) | node4(s336) | node5(s336) | node6(s336, s337) | (~node7(s336, s337)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27019,plain,
% 17.39/12.22 ((~![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(s336, c_c1) | node1(s336) | node2(s336) | node3(s336) | node4(s336) | node5(s336) | node6(s336, s337) | (~node7(s336, s337))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27018, 27017])).
% 17.39/12.22 tff(27020,plain,
% 17.39/12.22 (m_main_v_state1(s336, c_c1) | node1(s336) | node2(s336) | node3(s336) | node4(s336) | node5(s336) | node6(s336, s337)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27019, 820, 27016])).
% 17.39/12.22 tff(27021,plain,
% 17.39/12.22 (node6(s336, s337)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27020, 27012, 26936, 27008, 27004, 27000, 26983])).
% 17.39/12.22 tff(27022,plain,
% 17.39/12.22 (((~![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(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27023,plain,
% 17.39/12.22 (((~node6(s336, s337)) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1))) <=> (m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27024,plain,
% 17.39/12.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s336, s337)) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, 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(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337))))),
% 17.39/12.22 inference(monotonicity,[status(thm)],[27023])).
% 17.39/12.22 tff(27025,plain,
% 17.39/12.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s336, s337)) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, 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(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337)))),
% 17.39/12.22 inference(transitivity,[status(thm)],[27024, 27022])).
% 17.39/12.22 tff(27026,plain,
% 17.39/12.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s336, s337)) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27027,plain,
% 17.39/12.22 ((~![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(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27026, 27025])).
% 17.39/12.22 tff(27028,plain,
% 17.39/12.22 (~m_main_v_state1(s337, c_n1)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27027, 835, 26928, 27021])).
% 17.39/12.22 tff(27029,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s337, c_n1) | (~node2(s337)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s337, c_n1) | (~node2(s337)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27030,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s337, c_n1) | (~node2(s337)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27031,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s337, c_n1) | (~node2(s337))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27030, 27029])).
% 17.39/12.22 tff(27032,plain,
% 17.39/12.22 (~node2(s337)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27031, 787, 27028])).
% 17.39/12.22 tff(27033,plain,
% 17.39/12.22 (((~![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(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27034,plain,
% 17.39/12.22 (((~node6(s336, s337)) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1)) <=> ((~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27035,plain,
% 17.39/12.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s336, s337)) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, 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(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337))))),
% 17.39/12.22 inference(monotonicity,[status(thm)],[27034])).
% 17.39/12.22 tff(27036,plain,
% 17.39/12.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s336, s337)) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, 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(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337)))),
% 17.39/12.22 inference(transitivity,[status(thm)],[27035, 27033])).
% 17.39/12.22 tff(27037,plain,
% 17.39/12.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s336, s337)) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27038,plain,
% 17.39/12.22 ((~![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(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27037, 27036])).
% 17.39/12.22 tff(27039,plain,
% 17.39/12.22 (m_main_v_state1(s337, c_t1)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27038, 856, 26924, 27021])).
% 17.39/12.22 tff(27040,plain,
% 17.39/12.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_t2)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27041,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_t2)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27042,plain,
% 17.39/12.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_t2))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27041, 27040])).
% 17.39/12.22 tff(27043,plain,
% 17.39/12.22 (~m_main_v_state2(s337, c_t2)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27042, 77, 26971])).
% 17.39/12.22 tff(27044,plain,
% 17.39/12.22 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s337, c_t2) | (~node1(s337)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s337, c_t2) | (~node1(s337)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27045,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s337, c_t2) | (~node1(s337)))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27046,plain,
% 17.39/12.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s337, c_t2) | (~node1(s337))),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27045, 27044])).
% 17.39/12.22 tff(27047,plain,
% 17.39/12.22 (~node1(s337)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27046, 195, 27043])).
% 17.39/12.22 tff(27048,plain,
% 17.39/12.22 (succ(s337, s338) <=> succ(s337, s338)),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27049,axiom,(succ(s337, s338)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound338')).
% 17.39/12.22 tff(27050,plain,
% 17.39/12.22 (succ(s337, s338)),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27049, 27048])).
% 17.39/12.22 tff(27051,plain,
% 17.39/12.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s337, s338)) | trans(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s337, s338)) | trans(s337, s338))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27052,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s337, s338)) | trans(s337, s338))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27053,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s337, s338)) | trans(s337, s338)),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27052, 27051])).
% 17.39/12.22 tff(27054,plain,
% 17.39/12.22 (trans(s337, s338)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27053, 27050, 32])).
% 17.39/12.22 tff(27055,plain,
% 17.39/12.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s337, s338)) | node7(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s337, s338)) | node7(s337, s338))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27056,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s337, s338)) | node7(s337, s338))),
% 17.39/12.22 inference(quant_inst,[status(thm)],[])).
% 17.39/12.22 tff(27057,plain,
% 17.39/12.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s337, s338)) | node7(s337, s338)),
% 17.39/12.22 inference(modus_ponens,[status(thm)],[27056, 27055])).
% 17.39/12.22 tff(27058,plain,
% 17.39/12.22 (node7(s337, s338)),
% 17.39/12.22 inference(unit_resolution,[status(thm)],[27057, 206, 27054])).
% 17.39/12.22 tff(27059,plain,
% 17.39/12.22 (((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27060,plain,
% 17.39/12.22 (((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)) | m_main_v_state1(s338, c_c1)) <=> ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)))),
% 17.39/12.22 inference(rewrite,[status(thm)],[])).
% 17.39/12.22 tff(27061,plain,
% 17.39/12.22 (((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)) | m_main_v_state1(s338, 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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338))))),
% 17.39/12.23 inference(monotonicity,[status(thm)],[27060])).
% 17.39/12.23 tff(27062,plain,
% 17.39/12.23 (((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)) | m_main_v_state1(s338, 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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)))),
% 17.39/12.23 inference(transitivity,[status(thm)],[27061, 27059])).
% 17.39/12.23 tff(27063,plain,
% 17.39/12.23 ((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)) | m_main_v_state1(s338, c_c1))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27064,plain,
% 17.39/12.23 ((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27063, 27062])).
% 17.39/12.23 tff(27065,plain,
% 17.39/12.23 ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27064, 892, 27058])).
% 17.39/12.23 tff(27066,plain,
% 17.39/12.23 (m_main_v_state1(s338, c_c1)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27065, 27047, 26971, 27039, 27032, 26979])).
% 17.39/12.23 tff(27067,plain,
% 17.39/12.23 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s338, c_t1)) | (~m_main_v_state1(s338, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s338, c_t1)) | (~m_main_v_state1(s338, c_c1)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27068,plain,
% 17.39/12.23 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s338, c_t1)) | (~m_main_v_state1(s338, c_c1)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27069,plain,
% 17.39/12.23 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s338, c_t1)) | (~m_main_v_state1(s338, c_c1))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27068, 27067])).
% 17.39/12.23 tff(27070,plain,
% 17.39/12.23 (~m_main_v_state1(s338, c_t1)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27069, 539, 27066])).
% 17.39/12.23 tff(27071,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s338, c_t1) | (~node5(s338)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s338, c_t1) | (~node5(s338)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27072,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s338, c_t1) | (~node5(s338)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27073,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s338, c_t1) | (~node5(s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27072, 27071])).
% 17.39/12.23 tff(27074,plain,
% 17.39/12.23 (~node5(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27073, 550, 27070])).
% 17.39/12.23 tff(27075,plain,
% 17.39/12.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s337, s338)) | node14(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s337, s338)) | node14(s337, s338))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27076,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s337, s338)) | node14(s337, s338))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27077,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s337, s338)) | node14(s337, s338)),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27076, 27075])).
% 17.39/12.23 tff(27078,plain,
% 17.39/12.23 (node14(s337, s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27077, 46, 27054])).
% 17.39/12.23 tff(27079,plain,
% 17.39/12.23 (((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | (~node14(s337, s338)) | m_main_v_state2(s338, 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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | (~node14(s337, s338)) | m_main_v_state2(s338, c_t2))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27080,plain,
% 17.39/12.23 ((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | (~node14(s337, s338)) | m_main_v_state2(s338, c_t2))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27081,plain,
% 17.39/12.23 ((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | (~node14(s337, s338)) | m_main_v_state2(s338, c_t2)),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27080, 27079])).
% 17.39/12.23 tff(27082,plain,
% 17.39/12.23 ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state2(s338, c_t2)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27081, 922, 27078])).
% 17.39/12.23 tff(27083,plain,
% 17.39/12.23 (m_main_v_state2(s338, c_t2)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27082, 27039, 26971])).
% 17.39/12.23 tff(27084,plain,
% 17.39/12.23 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s338, c_n2)) | (~m_main_v_state2(s338, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s338, c_n2)) | (~m_main_v_state2(s338, c_t2)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27085,plain,
% 17.39/12.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s338, c_n2)) | (~m_main_v_state2(s338, c_t2)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27086,plain,
% 17.39/12.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s338, c_n2)) | (~m_main_v_state2(s338, c_t2))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27085, 27084])).
% 17.39/12.23 tff(27087,plain,
% 17.39/12.23 (~m_main_v_state2(s338, c_n2)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27086, 77, 27083])).
% 17.39/12.23 tff(27088,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s338, c_n2) | (~node4(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s338, c_n2) | (~node4(s338)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27089,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s338, c_n2) | (~node4(s338)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27090,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s338, c_n2) | (~node4(s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27089, 27088])).
% 17.39/12.23 tff(27091,plain,
% 17.39/12.23 (~node4(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27090, 388, 27087])).
% 17.39/12.23 tff(27092,plain,
% 17.39/12.23 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s338, c_t2)) | (~m_main_v_state2(s338, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s338, c_t2)) | (~m_main_v_state2(s338, c_c2)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27093,plain,
% 17.39/12.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s338, c_t2)) | (~m_main_v_state2(s338, c_c2)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27094,plain,
% 17.39/12.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s338, c_t2)) | (~m_main_v_state2(s338, c_c2))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27093, 27092])).
% 17.39/12.23 tff(27095,plain,
% 17.39/12.23 (~m_main_v_state2(s338, c_c2)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27094, 260, 27083])).
% 17.39/12.23 tff(27096,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s338, c_c2) | (~node3(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s338, c_c2) | (~node3(s338)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27097,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s338, c_c2) | (~node3(s338)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27098,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s338, c_c2) | (~node3(s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27097, 27096])).
% 17.39/12.23 tff(27099,plain,
% 17.39/12.23 (~node3(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27098, 399, 27095])).
% 17.39/12.23 tff(27100,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s338, c_n2) | (~node2(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s338, c_n2) | (~node2(s338)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27101,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s338, c_n2) | (~node2(s338)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27102,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s338, c_n2) | (~node2(s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27101, 27100])).
% 17.39/12.23 tff(27103,plain,
% 17.39/12.23 (~node2(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27102, 410, 27087])).
% 17.39/12.23 tff(27104,plain,
% 17.39/12.23 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s338, c_n1)) | (~m_main_v_state1(s338, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s338, c_n1)) | (~m_main_v_state1(s338, c_c1)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27105,plain,
% 17.39/12.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s338, c_n1)) | (~m_main_v_state1(s338, c_c1)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27106,plain,
% 17.39/12.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s338, c_n1)) | (~m_main_v_state1(s338, c_c1))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27105, 27104])).
% 17.39/12.23 tff(27107,plain,
% 17.39/12.23 (~m_main_v_state1(s338, c_n1)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27106, 454, 27066])).
% 17.39/12.23 tff(27108,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s338, c_n1) | (~node1(s338)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s338, c_n1) | (~node1(s338)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27109,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s338, c_n1) | (~node1(s338)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27110,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s338, c_n1) | (~node1(s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27109, 27108])).
% 17.39/12.23 tff(27111,plain,
% 17.39/12.23 (~node1(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27110, 421, 27107])).
% 17.39/12.23 tff(27112,plain,
% 17.39/12.23 (succ(s338, s339) <=> succ(s338, s339)),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27113,axiom,(succ(s338, s339)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound339')).
% 17.39/12.23 tff(27114,plain,
% 17.39/12.23 (succ(s338, s339)),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27113, 27112])).
% 17.39/12.23 tff(27115,plain,
% 17.39/12.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s338, s339)) | trans(s338, s339))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s338, s339)) | trans(s338, s339))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27116,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s338, s339)) | trans(s338, s339))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27117,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s338, s339)) | trans(s338, s339)),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27116, 27115])).
% 17.39/12.23 tff(27118,plain,
% 17.39/12.23 (trans(s338, s339)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27117, 27114, 32])).
% 17.39/12.23 tff(27119,plain,
% 17.39/12.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s338, s339)) | node7(s338, s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s338, s339)) | node7(s338, s339))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27120,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s338, s339)) | node7(s338, s339))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27121,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s338, s339)) | node7(s338, s339)),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27120, 27119])).
% 17.39/12.23 tff(27122,plain,
% 17.39/12.23 (node7(s338, s339)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27121, 206, 27118])).
% 17.39/12.23 tff(27123,plain,
% 17.39/12.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27124,plain,
% 17.39/12.23 (((~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)) | m_main_v_state1(s339, c_n1)) <=> (m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27125,plain,
% 17.39/12.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)) | m_main_v_state1(s339, 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(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339))))),
% 17.39/12.23 inference(monotonicity,[status(thm)],[27124])).
% 17.39/12.23 tff(27126,plain,
% 17.39/12.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)) | m_main_v_state1(s339, 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(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)))),
% 17.39/12.23 inference(transitivity,[status(thm)],[27125, 27123])).
% 17.39/12.23 tff(27127,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)) | m_main_v_state1(s339, c_n1))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27128,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27127, 27126])).
% 17.39/12.23 tff(27129,plain,
% 17.39/12.23 (m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27128, 584, 27122])).
% 17.39/12.23 tff(27130,plain,
% 17.39/12.23 (m_main_v_state1(s339, c_n1)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27129, 27111, 27066, 27103, 27099, 27091, 27074])).
% 17.39/12.23 tff(27131,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s337, c_t2) | (~node15(s337)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s337, c_t2) | (~node15(s337)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27132,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s337, c_t2) | (~node15(s337)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27133,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s337, c_t2) | (~node15(s337))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27132, 27131])).
% 17.39/12.23 tff(27134,plain,
% 17.39/12.23 (~node15(s337)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27133, 103, 27043])).
% 17.39/12.23 tff(27135,plain,
% 17.39/12.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s337, s338)) | node18(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s337, s338)) | node18(s337, s338))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27136,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s337, s338)) | node18(s337, s338))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27137,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s337, s338)) | node18(s337, s338)),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27136, 27135])).
% 17.39/12.23 tff(27138,plain,
% 17.39/12.23 (node18(s337, s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27137, 125, 27054])).
% 17.39/12.23 tff(27139,plain,
% 17.39/12.23 (((~![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(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27140,plain,
% 17.39/12.23 (((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node15(s337) | (~node18(s337, s338)) | m_main_v_turn(s338, c_1)) <=> (node15(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27141,plain,
% 17.39/12.23 (((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node15(s337) | (~node18(s337, s338)) | m_main_v_turn(s338, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1)))),
% 17.39/12.23 inference(monotonicity,[status(thm)],[27140])).
% 17.39/12.23 tff(27142,plain,
% 17.39/12.23 (((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node15(s337) | (~node18(s337, s338)) | m_main_v_turn(s338, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1))),
% 17.39/12.23 inference(transitivity,[status(thm)],[27141, 27139])).
% 17.39/12.23 tff(27143,plain,
% 17.39/12.23 ((~![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(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node15(s337) | (~node18(s337, s338)) | m_main_v_turn(s338, c_1))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27144,plain,
% 17.39/12.23 ((~![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(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1)),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27143, 27142])).
% 17.39/12.23 tff(27145,plain,
% 17.39/12.23 (node15(s337) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27144, 992, 27138])).
% 17.39/12.23 tff(27146,plain,
% 17.39/12.23 (m_main_v_turn(s338, c_1)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27145, 27134, 26971, 27039])).
% 17.39/12.23 tff(27147,plain,
% 17.39/12.23 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s338, c_1)) | (~m_main_v_turn(s338, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s338, c_1)) | (~m_main_v_turn(s338, c_2)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27148,plain,
% 17.39/12.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s338, c_1)) | (~m_main_v_turn(s338, c_2)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27149,plain,
% 17.39/12.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s338, c_1)) | (~m_main_v_turn(s338, c_2))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27148, 27147])).
% 17.39/12.23 tff(27150,plain,
% 17.39/12.23 (~m_main_v_turn(s338, c_2)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27149, 156, 27146])).
% 17.39/12.23 tff(27151,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s338, c_2) | (~node12(s338)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s338, c_2) | (~node12(s338)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27152,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s338, c_2) | (~node12(s338)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27153,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s338, c_2) | (~node12(s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27152, 27151])).
% 17.39/12.23 tff(27154,plain,
% 17.39/12.23 (~node12(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27153, 184, 27150])).
% 17.39/12.23 tff(27155,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s338, c_n2) | (~node8(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s338, c_n2) | (~node8(s338)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27156,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s338, c_n2) | (~node8(s338)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27157,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s338, c_n2) | (~node8(s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27156, 27155])).
% 17.39/12.23 tff(27158,plain,
% 17.39/12.23 (~node8(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27157, 271, 27087])).
% 17.39/12.23 tff(27159,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s338, c_n2) | (~node9(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s338, c_n2) | (~node9(s338)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27160,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s338, c_n2) | (~node9(s338)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27161,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s338, c_n2) | (~node9(s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27160, 27159])).
% 17.39/12.23 tff(27162,plain,
% 17.39/12.23 (~node9(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27161, 88, 27087])).
% 17.39/12.23 tff(27163,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s338, c_n2) | (~node10(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s338, c_n2) | (~node10(s338)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27164,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s338, c_n2) | (~node10(s338)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27165,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s338, c_n2) | (~node10(s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27164, 27163])).
% 17.39/12.23 tff(27166,plain,
% 17.39/12.23 (~node10(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27165, 249, 27087])).
% 17.39/12.23 tff(27167,plain,
% 17.39/12.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s338, c_n1) | (~node11(s338)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s338, c_n1) | (~node11(s338)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27168,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s338, c_n1) | (~node11(s338)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27169,plain,
% 17.39/12.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s338, c_n1) | (~node11(s338))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27168, 27167])).
% 17.39/12.23 tff(27170,plain,
% 17.39/12.23 (~node11(s338)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27169, 238, 27107])).
% 17.39/12.23 tff(27171,plain,
% 17.39/12.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s338, s339)) | node14(s338, s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s338, s339)) | node14(s338, s339))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27172,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s338, s339)) | node14(s338, s339))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27173,plain,
% 17.39/12.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s338, s339)) | node14(s338, s339)),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27172, 27171])).
% 17.39/12.23 tff(27174,plain,
% 17.39/12.23 (node14(s338, s339)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27173, 46, 27118])).
% 17.39/12.23 tff(27175,plain,
% 17.39/12.23 (((~![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(s338, c_c2) | node9(s338) | node8(s338) | node10(s338) | node11(s338) | node12(s338) | node13(s338, s339) | (~node14(s338, s339)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s338, c_c2) | node9(s338) | node8(s338) | node10(s338) | node11(s338) | node12(s338) | node13(s338, s339) | (~node14(s338, s339)))),
% 17.39/12.23 inference(rewrite,[status(thm)],[])).
% 17.39/12.23 tff(27176,plain,
% 17.39/12.23 ((~![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(s338, c_c2) | node9(s338) | node8(s338) | node10(s338) | node11(s338) | node12(s338) | node13(s338, s339) | (~node14(s338, s339)))),
% 17.39/12.23 inference(quant_inst,[status(thm)],[])).
% 17.39/12.23 tff(27177,plain,
% 17.39/12.23 ((~![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(s338, c_c2) | node9(s338) | node8(s338) | node10(s338) | node11(s338) | node12(s338) | node13(s338, s339) | (~node14(s338, s339))),
% 17.39/12.23 inference(modus_ponens,[status(thm)],[27176, 27175])).
% 17.39/12.23 tff(27178,plain,
% 17.39/12.23 (m_main_v_state2(s338, c_c2) | node9(s338) | node8(s338) | node10(s338) | node11(s338) | node12(s338) | node13(s338, s339)),
% 17.39/12.23 inference(unit_resolution,[status(thm)],[27177, 296, 27174])).
% 17.39/12.24 tff(27179,plain,
% 17.39/12.24 (node13(s338, s339)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27178, 27170, 27095, 27166, 27162, 27158, 27154])).
% 17.39/12.24 tff(27180,plain,
% 17.39/12.24 (((~![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(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27181,plain,
% 17.39/12.24 (((~node13(s338, s339)) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2)) <=> ((~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27182,plain,
% 17.39/12.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s338, s339)) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, 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(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339))))),
% 17.39/12.24 inference(monotonicity,[status(thm)],[27181])).
% 17.39/12.24 tff(27183,plain,
% 17.39/12.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s338, s339)) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, 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(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339)))),
% 17.39/12.24 inference(transitivity,[status(thm)],[27182, 27180])).
% 17.39/12.24 tff(27184,plain,
% 17.39/12.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s338, s339)) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27185,plain,
% 17.39/12.24 ((~![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(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27184, 27183])).
% 17.39/12.24 tff(27186,plain,
% 17.39/12.24 (m_main_v_state2(s339, c_t2)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27185, 518, 27083, 27179])).
% 17.39/12.24 tff(27187,plain,
% 17.39/12.24 (succ(s339, s340) <=> succ(s339, s340)),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27188,axiom,(succ(s339, s340)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound340')).
% 17.39/12.24 tff(27189,plain,
% 17.39/12.24 (succ(s339, s340)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27188, 27187])).
% 17.39/12.24 tff(27190,plain,
% 17.39/12.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s339, s340)) | trans(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s339, s340)) | trans(s339, s340))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27191,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s339, s340)) | trans(s339, s340))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27192,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s339, s340)) | trans(s339, s340)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27191, 27190])).
% 17.39/12.24 tff(27193,plain,
% 17.39/12.24 (trans(s339, s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27192, 27189, 32])).
% 17.39/12.24 tff(27194,plain,
% 17.39/12.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s339, s340)) | node7(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s339, s340)) | node7(s339, s340))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27195,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s339, s340)) | node7(s339, s340))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27196,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s339, s340)) | node7(s339, s340)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27195, 27194])).
% 17.39/12.24 tff(27197,plain,
% 17.39/12.24 (node7(s339, s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27196, 206, 27193])).
% 17.39/12.24 tff(27198,plain,
% 17.39/12.24 (((~![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(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node7(s339, s340)) | m_main_v_state1(s340, 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(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node7(s339, s340)) | m_main_v_state1(s340, c_t1))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27199,plain,
% 17.39/12.24 ((~![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(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node7(s339, s340)) | m_main_v_state1(s340, c_t1))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27200,plain,
% 17.39/12.24 ((~![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(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node7(s339, s340)) | m_main_v_state1(s340, c_t1)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27199, 27198])).
% 17.39/12.24 tff(27201,plain,
% 17.39/12.24 ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | m_main_v_state1(s340, c_t1)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27200, 651, 27197])).
% 17.39/12.24 tff(27202,plain,
% 17.39/12.24 (m_main_v_state1(s340, c_t1)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27201, 27186, 27130])).
% 17.39/12.24 tff(27203,plain,
% 17.39/12.24 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s340, c_n1)) | (~m_main_v_state1(s340, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s340, c_n1)) | (~m_main_v_state1(s340, c_t1)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27204,plain,
% 17.39/12.24 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s340, c_n1)) | (~m_main_v_state1(s340, c_t1)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27205,plain,
% 17.39/12.24 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s340, c_n1)) | (~m_main_v_state1(s340, c_t1))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27204, 27203])).
% 17.39/12.24 tff(27206,plain,
% 17.39/12.24 (~m_main_v_state1(s340, c_n1)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27205, 10, 27202])).
% 17.39/12.24 tff(27207,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s340, c_n1) | (~node1(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s340, c_n1) | (~node1(s340)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27208,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s340, c_n1) | (~node1(s340)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27209,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s340, c_n1) | (~node1(s340))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27208, 27207])).
% 17.39/12.24 tff(27210,plain,
% 17.39/12.24 (~node1(s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27209, 421, 27206])).
% 17.39/12.24 tff(27211,plain,
% 17.39/12.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s339, s340)) | node18(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s339, s340)) | node18(s339, s340))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27212,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s339, s340)) | node18(s339, s340))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27213,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s339, s340)) | node18(s339, s340)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27212, 27211])).
% 17.39/12.24 tff(27214,plain,
% 17.39/12.24 (node18(s339, s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27213, 125, 27193])).
% 17.39/12.24 tff(27215,plain,
% 17.39/12.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node18(s339, s340)) | m_main_v_turn(s340, 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(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node18(s339, s340)) | m_main_v_turn(s340, c_2))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27216,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node18(s339, s340)) | m_main_v_turn(s340, c_2))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27217,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node18(s339, s340)) | m_main_v_turn(s340, c_2)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27216, 27215])).
% 17.39/12.24 tff(27218,plain,
% 17.39/12.24 ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | m_main_v_turn(s340, c_2)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27217, 760, 27214])).
% 17.39/12.24 tff(27219,plain,
% 17.39/12.24 (m_main_v_turn(s340, c_2)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27218, 27186, 27130])).
% 17.39/12.24 tff(27220,plain,
% 17.39/12.24 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s340, c_1)) | (~m_main_v_turn(s340, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s340, c_1)) | (~m_main_v_turn(s340, c_2)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27221,plain,
% 17.39/12.24 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s340, c_1)) | (~m_main_v_turn(s340, c_2)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27222,plain,
% 17.39/12.24 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s340, c_1)) | (~m_main_v_turn(s340, c_2))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27221, 27220])).
% 17.39/12.24 tff(27223,plain,
% 17.39/12.24 (~m_main_v_turn(s340, c_1)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27222, 156, 27219])).
% 17.39/12.24 tff(27224,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s340, c_1) | (~node5(s340)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s340, c_1) | (~node5(s340)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27225,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s340, c_1) | (~node5(s340)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27226,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s340, c_1) | (~node5(s340))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27225, 27224])).
% 17.39/12.24 tff(27227,plain,
% 17.39/12.24 (~node5(s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27226, 776, 27223])).
% 17.39/12.24 tff(27228,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s340, c_n1) | (~node2(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s340, c_n1) | (~node2(s340)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27229,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s340, c_n1) | (~node2(s340)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27230,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s340, c_n1) | (~node2(s340))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27229, 27228])).
% 17.39/12.24 tff(27231,plain,
% 17.39/12.24 (~node2(s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27230, 787, 27206])).
% 17.39/12.24 tff(27232,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s340, c_n1) | (~node3(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s340, c_n1) | (~node3(s340)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27233,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s340, c_n1) | (~node3(s340)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27234,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s340, c_n1) | (~node3(s340))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27233, 27232])).
% 17.39/12.24 tff(27235,plain,
% 17.39/12.24 (~node3(s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27234, 798, 27206])).
% 17.39/12.24 tff(27236,plain,
% 17.39/12.24 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s340, c_t1)) | (~m_main_v_state1(s340, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s340, c_t1)) | (~m_main_v_state1(s340, c_c1)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27237,plain,
% 17.39/12.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s340, c_t1)) | (~m_main_v_state1(s340, c_c1)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27238,plain,
% 17.39/12.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s340, c_t1)) | (~m_main_v_state1(s340, c_c1))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27237, 27236])).
% 17.39/12.24 tff(27239,plain,
% 17.39/12.24 (~m_main_v_state1(s340, c_c1)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27238, 539, 27202])).
% 17.39/12.24 tff(27240,plain,
% 17.39/12.24 (((~![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(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27241,plain,
% 17.39/12.24 (((~node13(s338, s339)) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2))) <=> (m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27242,plain,
% 17.39/12.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s338, s339)) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, 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(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339))))),
% 17.39/12.24 inference(monotonicity,[status(thm)],[27241])).
% 17.39/12.24 tff(27243,plain,
% 17.39/12.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s338, s339)) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, 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(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339)))),
% 17.39/12.24 inference(transitivity,[status(thm)],[27242, 27240])).
% 17.39/12.24 tff(27244,plain,
% 17.39/12.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s338, s339)) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27245,plain,
% 17.39/12.24 ((~![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(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27244, 27243])).
% 17.39/12.24 tff(27246,plain,
% 17.39/12.24 (~m_main_v_state2(s339, c_n2)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27245, 311, 27087, 27179])).
% 17.39/12.24 tff(27247,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s339, c_n2) | (~node9(s339)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s339, c_n2) | (~node9(s339)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27248,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s339, c_n2) | (~node9(s339)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27249,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s339, c_n2) | (~node9(s339))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27248, 27247])).
% 17.39/12.24 tff(27250,plain,
% 17.39/12.24 (~node9(s339)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27249, 88, 27246])).
% 17.39/12.24 tff(27251,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s339, c_n2) | (~node10(s339)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s339, c_n2) | (~node10(s339)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27252,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s339, c_n2) | (~node10(s339)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27253,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s339, c_n2) | (~node10(s339))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27252, 27251])).
% 17.39/12.24 tff(27254,plain,
% 17.39/12.24 (~node10(s339)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27253, 249, 27246])).
% 17.39/12.24 tff(27255,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s339, c_n2) | (~node8(s339)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s339, c_n2) | (~node8(s339)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27256,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s339, c_n2) | (~node8(s339)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27257,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s339, c_n2) | (~node8(s339))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27256, 27255])).
% 17.39/12.24 tff(27258,plain,
% 17.39/12.24 (~node8(s339)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27257, 271, 27246])).
% 17.39/12.24 tff(27259,plain,
% 17.39/12.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s339, s340)) | node14(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s339, s340)) | node14(s339, s340))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27260,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s339, s340)) | node14(s339, s340))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27261,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s339, s340)) | node14(s339, s340)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27260, 27259])).
% 17.39/12.24 tff(27262,plain,
% 17.39/12.24 (node14(s339, s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27261, 46, 27193])).
% 17.39/12.24 tff(27263,plain,
% 17.39/12.24 (((~![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(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | node9(s339) | node8(s339) | node10(s339) | (~node14(s339, s340)) | m_main_v_state2(s340, 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(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | node9(s339) | node8(s339) | node10(s339) | (~node14(s339, s340)) | m_main_v_state2(s340, c_c2))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27264,plain,
% 17.39/12.24 ((~![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(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | node9(s339) | node8(s339) | node10(s339) | (~node14(s339, s340)) | m_main_v_state2(s340, c_c2))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27265,plain,
% 17.39/12.24 ((~![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(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | node9(s339) | node8(s339) | node10(s339) | (~node14(s339, s340)) | m_main_v_state2(s340, c_c2)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27264, 27263])).
% 17.39/12.24 tff(27266,plain,
% 17.39/12.24 ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | node9(s339) | node8(s339) | node10(s339) | m_main_v_state2(s340, c_c2)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27265, 617, 27262])).
% 17.39/12.24 tff(27267,plain,
% 17.39/12.24 (m_main_v_state2(s340, c_c2)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27266, 27258, 27130, 27186, 27254, 27250])).
% 17.39/12.24 tff(27268,plain,
% 17.39/12.24 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s340, c_n2)) | (~m_main_v_state2(s340, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s340, c_n2)) | (~m_main_v_state2(s340, c_c2)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27269,plain,
% 17.39/12.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s340, c_n2)) | (~m_main_v_state2(s340, c_c2)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27270,plain,
% 17.39/12.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s340, c_n2)) | (~m_main_v_state2(s340, c_c2))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27269, 27268])).
% 17.39/12.24 tff(27271,plain,
% 17.39/12.24 (~m_main_v_state2(s340, c_n2)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27270, 697, 27267])).
% 17.39/12.24 tff(27272,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s340, c_n2) | (~node4(s340)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s340, c_n2) | (~node4(s340)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27273,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s340, c_n2) | (~node4(s340)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27274,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s340, c_n2) | (~node4(s340))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27273, 27272])).
% 17.39/12.24 tff(27275,plain,
% 17.39/12.24 (~node4(s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27274, 388, 27271])).
% 17.39/12.24 tff(27276,plain,
% 17.39/12.24 (succ(s340, s341) <=> succ(s340, s341)),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27277,axiom,(succ(s340, s341)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound341')).
% 17.39/12.24 tff(27278,plain,
% 17.39/12.24 (succ(s340, s341)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27277, 27276])).
% 17.39/12.24 tff(27279,plain,
% 17.39/12.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s340, s341)) | trans(s340, s341))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s340, s341)) | trans(s340, s341))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27280,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s340, s341)) | trans(s340, s341))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27281,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s340, s341)) | trans(s340, s341)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27280, 27279])).
% 17.39/12.24 tff(27282,plain,
% 17.39/12.24 (trans(s340, s341)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27281, 27278, 32])).
% 17.39/12.24 tff(27283,plain,
% 17.39/12.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s340, s341)) | node7(s340, s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s340, s341)) | node7(s340, s341))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27284,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s340, s341)) | node7(s340, s341))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27285,plain,
% 17.39/12.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s340, s341)) | node7(s340, s341)),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27284, 27283])).
% 17.39/12.24 tff(27286,plain,
% 17.39/12.24 (node7(s340, s341)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27285, 206, 27282])).
% 17.39/12.24 tff(27287,plain,
% 17.39/12.24 (((~![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(s340, c_c1) | node1(s340) | node2(s340) | node3(s340) | node4(s340) | node5(s340) | node6(s340, s341) | (~node7(s340, s341)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s340, c_c1) | node1(s340) | node2(s340) | node3(s340) | node4(s340) | node5(s340) | node6(s340, s341) | (~node7(s340, s341)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27288,plain,
% 17.39/12.24 ((~![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(s340, c_c1) | node1(s340) | node2(s340) | node3(s340) | node4(s340) | node5(s340) | node6(s340, s341) | (~node7(s340, s341)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27289,plain,
% 17.39/12.24 ((~![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(s340, c_c1) | node1(s340) | node2(s340) | node3(s340) | node4(s340) | node5(s340) | node6(s340, s341) | (~node7(s340, s341))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27288, 27287])).
% 17.39/12.24 tff(27290,plain,
% 17.39/12.24 (m_main_v_state1(s340, c_c1) | node1(s340) | node2(s340) | node3(s340) | node4(s340) | node5(s340) | node6(s340, s341)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27289, 820, 27286])).
% 17.39/12.24 tff(27291,plain,
% 17.39/12.24 (node6(s340, s341)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27290, 27275, 27239, 27235, 27231, 27227, 27210])).
% 17.39/12.24 tff(27292,plain,
% 17.39/12.24 (((~![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(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27293,plain,
% 17.39/12.24 (((~node6(s340, s341)) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1)) <=> ((~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27294,plain,
% 17.39/12.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s340, s341)) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, 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(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341))))),
% 17.39/12.24 inference(monotonicity,[status(thm)],[27293])).
% 17.39/12.24 tff(27295,plain,
% 17.39/12.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s340, s341)) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, 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(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341)))),
% 17.39/12.24 inference(transitivity,[status(thm)],[27294, 27292])).
% 17.39/12.24 tff(27296,plain,
% 17.39/12.24 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s340, s341)) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27297,plain,
% 17.39/12.24 ((~![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(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27296, 27295])).
% 17.39/12.24 tff(27298,plain,
% 17.39/12.24 (m_main_v_state1(s341, c_t1)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27297, 856, 27202, 27291])).
% 17.39/12.24 tff(27299,plain,
% 17.39/12.24 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s340, c_t2)) | (~m_main_v_state2(s340, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s340, c_t2)) | (~m_main_v_state2(s340, c_c2)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27300,plain,
% 17.39/12.24 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s340, c_t2)) | (~m_main_v_state2(s340, c_c2)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27301,plain,
% 17.39/12.24 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s340, c_t2)) | (~m_main_v_state2(s340, c_c2))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27300, 27299])).
% 17.39/12.24 tff(27302,plain,
% 17.39/12.24 (~m_main_v_state2(s340, c_t2)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27301, 260, 27267])).
% 17.39/12.24 tff(27303,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s340, c_t2) | (~node12(s340)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s340, c_t2) | (~node12(s340)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27304,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s340, c_t2) | (~node12(s340)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27305,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s340, c_t2) | (~node12(s340))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27304, 27303])).
% 17.39/12.24 tff(27306,plain,
% 17.39/12.24 (~node12(s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27305, 633, 27302])).
% 17.39/12.24 tff(27307,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s340, c_n1) | (~node11(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s340, c_n1) | (~node11(s340)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27308,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s340, c_n1) | (~node11(s340)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27309,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s340, c_n1) | (~node11(s340))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27308, 27307])).
% 17.39/12.24 tff(27310,plain,
% 17.39/12.24 (~node11(s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27309, 238, 27206])).
% 17.39/12.24 tff(27311,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s340, c_c1) | (~node10(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s340, c_c1) | (~node10(s340)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27312,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s340, c_c1) | (~node10(s340)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27313,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s340, c_c1) | (~node10(s340))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27312, 27311])).
% 17.39/12.24 tff(27314,plain,
% 17.39/12.24 (~node10(s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27313, 675, 27239])).
% 17.39/12.24 tff(27315,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s340, c_n1) | (~node9(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s340, c_n1) | (~node9(s340)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27316,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s340, c_n1) | (~node9(s340)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27317,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s340, c_n1) | (~node9(s340))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27316, 27315])).
% 17.39/12.24 tff(27318,plain,
% 17.39/12.24 (~node9(s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27317, 686, 27206])).
% 17.39/12.24 tff(27319,plain,
% 17.39/12.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s340, c_n2) | (~node8(s340)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s340, c_n2) | (~node8(s340)))),
% 17.39/12.24 inference(rewrite,[status(thm)],[])).
% 17.39/12.24 tff(27320,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s340, c_n2) | (~node8(s340)))),
% 17.39/12.24 inference(quant_inst,[status(thm)],[])).
% 17.39/12.24 tff(27321,plain,
% 17.39/12.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s340, c_n2) | (~node8(s340))),
% 17.39/12.24 inference(modus_ponens,[status(thm)],[27320, 27319])).
% 17.39/12.24 tff(27322,plain,
% 17.39/12.24 (~node8(s340)),
% 17.39/12.24 inference(unit_resolution,[status(thm)],[27321, 271, 27271])).
% 17.39/12.24 tff(27323,plain,
% 17.39/12.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s340, s341)) | node14(s340, s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s340, s341)) | node14(s340, s341))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27324,plain,
% 17.39/12.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s340, s341)) | node14(s340, s341))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27325,plain,
% 17.39/12.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s340, s341)) | node14(s340, s341)),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27324, 27323])).
% 17.39/12.25 tff(27326,plain,
% 17.39/12.25 (node14(s340, s341)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27325, 46, 27282])).
% 17.39/12.25 tff(27327,plain,
% 17.39/12.25 (((~![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(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, 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(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27328,plain,
% 17.39/12.25 (((~m_main_v_state2(s340, c_c2)) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | m_main_v_state2(s341, c_n2)) <=> (m_main_v_state2(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27329,plain,
% 17.39/12.25 (((~![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(s340, c_c2)) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | m_main_v_state2(s341, 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(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2))))),
% 17.39/12.25 inference(monotonicity,[status(thm)],[27328])).
% 17.39/12.25 tff(27330,plain,
% 17.39/12.25 (((~![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(s340, c_c2)) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | m_main_v_state2(s341, 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(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2)))),
% 17.39/12.25 inference(transitivity,[status(thm)],[27329, 27327])).
% 17.39/12.25 tff(27331,plain,
% 17.39/12.25 ((~![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(s340, c_c2)) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | m_main_v_state2(s341, c_n2))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27332,plain,
% 17.39/12.25 ((~![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(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27331, 27330])).
% 17.39/12.25 tff(27333,plain,
% 17.39/12.25 (m_main_v_state2(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~m_main_v_state2(s340, c_c2))),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27332, 726, 27326])).
% 17.39/12.25 tff(27334,plain,
% 17.39/12.25 (m_main_v_state2(s341, c_n2)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27333, 27322, 27267, 27318, 27314, 27310, 27306])).
% 17.39/12.25 tff(27335,plain,
% 17.39/12.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_t2)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27336,plain,
% 17.39/12.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_t2)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27337,plain,
% 17.39/12.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_t2))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27336, 27335])).
% 17.39/12.25 tff(27338,plain,
% 17.39/12.25 (~m_main_v_state2(s341, c_t2)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27337, 77, 27334])).
% 17.39/12.25 tff(27339,plain,
% 17.39/12.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s341, c_t2) | (~node15(s341)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s341, c_t2) | (~node15(s341)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27340,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s341, c_t2) | (~node15(s341)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27341,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s341, c_t2) | (~node15(s341))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27340, 27339])).
% 17.39/12.25 tff(27342,plain,
% 17.39/12.25 (~node15(s341)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27341, 103, 27338])).
% 17.39/12.25 tff(27343,plain,
% 17.39/12.25 (succ(s341, s342) <=> succ(s341, s342)),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27344,axiom,(succ(s341, s342)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound342')).
% 17.39/12.25 tff(27345,plain,
% 17.39/12.25 (succ(s341, s342)),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27344, 27343])).
% 17.39/12.25 tff(27346,plain,
% 17.39/12.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s341, s342)) | trans(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s341, s342)) | trans(s341, s342))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27347,plain,
% 17.39/12.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s341, s342)) | trans(s341, s342))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27348,plain,
% 17.39/12.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s341, s342)) | trans(s341, s342)),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27347, 27346])).
% 17.39/12.25 tff(27349,plain,
% 17.39/12.25 (trans(s341, s342)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27348, 27345, 32])).
% 17.39/12.25 tff(27350,plain,
% 17.39/12.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s341, s342)) | node18(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s341, s342)) | node18(s341, s342))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27351,plain,
% 17.39/12.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s341, s342)) | node18(s341, s342))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27352,plain,
% 17.39/12.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s341, s342)) | node18(s341, s342)),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27351, 27350])).
% 17.39/12.25 tff(27353,plain,
% 17.39/12.25 (node18(s341, s342)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27352, 125, 27349])).
% 17.39/12.25 tff(27354,plain,
% 17.39/12.25 (((~![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(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27355,plain,
% 17.39/12.25 (((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node15(s341) | (~node18(s341, s342)) | m_main_v_turn(s342, c_1)) <=> (node15(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27356,plain,
% 17.39/12.25 (((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node15(s341) | (~node18(s341, s342)) | m_main_v_turn(s342, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1)))),
% 17.39/12.25 inference(monotonicity,[status(thm)],[27355])).
% 17.39/12.25 tff(27357,plain,
% 17.39/12.25 (((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node15(s341) | (~node18(s341, s342)) | m_main_v_turn(s342, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1))),
% 17.39/12.25 inference(transitivity,[status(thm)],[27356, 27354])).
% 17.39/12.25 tff(27358,plain,
% 17.39/12.25 ((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node15(s341) | (~node18(s341, s342)) | m_main_v_turn(s342, c_1))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27359,plain,
% 17.39/12.25 ((~![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(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1)),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27358, 27357])).
% 17.39/12.25 tff(27360,plain,
% 17.39/12.25 (node15(s341) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27359, 992, 27353])).
% 17.39/12.25 tff(27361,plain,
% 17.39/12.25 (m_main_v_turn(s342, c_1)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27360, 27342, 27334, 27298])).
% 17.39/12.25 tff(27362,plain,
% 17.39/12.25 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s342, c_1)) | (~m_main_v_turn(s342, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s342, c_1)) | (~m_main_v_turn(s342, c_2)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27363,plain,
% 17.39/12.25 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s342, c_1)) | (~m_main_v_turn(s342, c_2)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27364,plain,
% 17.39/12.25 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s342, c_1)) | (~m_main_v_turn(s342, c_2))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27363, 27362])).
% 17.39/12.25 tff(27365,plain,
% 17.39/12.25 (~m_main_v_turn(s342, c_2)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27364, 156, 27361])).
% 17.39/12.25 tff(27366,plain,
% 17.39/12.25 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s342, c_2) | (~node12(s342)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s342, c_2) | (~node12(s342)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27367,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s342, c_2) | (~node12(s342)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27368,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s342, c_2) | (~node12(s342))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27367, 27366])).
% 17.39/12.25 tff(27369,plain,
% 17.39/12.25 (~node12(s342)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27368, 184, 27365])).
% 17.39/12.25 tff(27370,plain,
% 17.39/12.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s341, s342)) | node14(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s341, s342)) | node14(s341, s342))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27371,plain,
% 17.39/12.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s341, s342)) | node14(s341, s342))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27372,plain,
% 17.39/12.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s341, s342)) | node14(s341, s342)),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27371, 27370])).
% 17.39/12.25 tff(27373,plain,
% 17.39/12.25 (node14(s341, s342)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27372, 46, 27349])).
% 17.39/12.25 tff(27374,plain,
% 17.39/12.25 (((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | (~node14(s341, s342)) | m_main_v_state2(s342, 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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | (~node14(s341, s342)) | m_main_v_state2(s342, c_t2))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27375,plain,
% 17.39/12.25 ((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | (~node14(s341, s342)) | m_main_v_state2(s342, c_t2))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27376,plain,
% 17.39/12.25 ((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | (~node14(s341, s342)) | m_main_v_state2(s342, c_t2)),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27375, 27374])).
% 17.39/12.25 tff(27377,plain,
% 17.39/12.25 ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state2(s342, c_t2)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27376, 922, 27373])).
% 17.39/12.25 tff(27378,plain,
% 17.39/12.25 (m_main_v_state2(s342, c_t2)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27377, 27298, 27334])).
% 17.39/12.25 tff(27379,plain,
% 17.39/12.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s342, c_n2)) | (~m_main_v_state2(s342, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s342, c_n2)) | (~m_main_v_state2(s342, c_t2)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27380,plain,
% 17.39/12.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s342, c_n2)) | (~m_main_v_state2(s342, c_t2)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27381,plain,
% 17.39/12.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s342, c_n2)) | (~m_main_v_state2(s342, c_t2))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27380, 27379])).
% 17.39/12.25 tff(27382,plain,
% 17.39/12.25 (~m_main_v_state2(s342, c_n2)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27381, 77, 27378])).
% 17.39/12.25 tff(27383,plain,
% 17.39/12.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s342, c_n2) | (~node8(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s342, c_n2) | (~node8(s342)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27384,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s342, c_n2) | (~node8(s342)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27385,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s342, c_n2) | (~node8(s342))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27384, 27383])).
% 17.39/12.25 tff(27386,plain,
% 17.39/12.25 (~node8(s342)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27385, 271, 27382])).
% 17.39/12.25 tff(27387,plain,
% 17.39/12.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s342, c_n2) | (~node9(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s342, c_n2) | (~node9(s342)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27388,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s342, c_n2) | (~node9(s342)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27389,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s342, c_n2) | (~node9(s342))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27388, 27387])).
% 17.39/12.25 tff(27390,plain,
% 17.39/12.25 (~node9(s342)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27389, 88, 27382])).
% 17.39/12.25 tff(27391,plain,
% 17.39/12.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s342, c_n2) | (~node10(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s342, c_n2) | (~node10(s342)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27392,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s342, c_n2) | (~node10(s342)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27393,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s342, c_n2) | (~node10(s342))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27392, 27391])).
% 17.39/12.25 tff(27394,plain,
% 17.39/12.25 (~node10(s342)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27393, 249, 27382])).
% 17.39/12.25 tff(27395,plain,
% 17.39/12.25 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s342, c_t2)) | (~m_main_v_state2(s342, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s342, c_t2)) | (~m_main_v_state2(s342, c_c2)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27396,plain,
% 17.39/12.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s342, c_t2)) | (~m_main_v_state2(s342, c_c2)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27397,plain,
% 17.39/12.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s342, c_t2)) | (~m_main_v_state2(s342, c_c2))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27396, 27395])).
% 17.39/12.25 tff(27398,plain,
% 17.39/12.25 (~m_main_v_state2(s342, c_c2)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27397, 260, 27378])).
% 17.39/12.25 tff(27399,plain,
% 17.39/12.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_c2)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27400,plain,
% 17.39/12.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_c2)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27401,plain,
% 17.39/12.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_c2))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27400, 27399])).
% 17.39/12.25 tff(27402,plain,
% 17.39/12.25 (~m_main_v_state2(s341, c_c2)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27401, 697, 27334])).
% 17.39/12.25 tff(27403,plain,
% 17.39/12.25 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s341, c_c2) | (~node3(s341)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s341, c_c2) | (~node3(s341)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27404,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s341, c_c2) | (~node3(s341)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27405,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s341, c_c2) | (~node3(s341))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27404, 27403])).
% 17.39/12.25 tff(27406,plain,
% 17.39/12.25 (~node3(s341)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27405, 399, 27402])).
% 17.39/12.25 tff(27407,plain,
% 17.39/12.25 (((~![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(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27408,plain,
% 17.39/12.25 (((~node6(s340, s341)) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1))) <=> (m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27409,plain,
% 17.39/12.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s340, s341)) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, 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(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341))))),
% 17.39/12.25 inference(monotonicity,[status(thm)],[27408])).
% 17.39/12.25 tff(27410,plain,
% 17.39/12.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s340, s341)) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, 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(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341)))),
% 17.39/12.25 inference(transitivity,[status(thm)],[27409, 27407])).
% 17.39/12.25 tff(27411,plain,
% 17.39/12.25 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s340, s341)) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27412,plain,
% 17.39/12.25 ((~![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(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27411, 27410])).
% 17.39/12.25 tff(27413,plain,
% 17.39/12.25 (~m_main_v_state1(s341, c_n1)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27412, 835, 27206, 27291])).
% 17.39/12.25 tff(27414,plain,
% 17.39/12.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s341, c_n1) | (~node2(s341)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s341, c_n1) | (~node2(s341)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27415,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s341, c_n1) | (~node2(s341)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27416,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s341, c_n1) | (~node2(s341))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27415, 27414])).
% 17.39/12.25 tff(27417,plain,
% 17.39/12.25 (~node2(s341)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27416, 787, 27413])).
% 17.39/12.25 tff(27418,plain,
% 17.39/12.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s341, c_t2) | (~node1(s341)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s341, c_t2) | (~node1(s341)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27419,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s341, c_t2) | (~node1(s341)))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27420,plain,
% 17.39/12.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s341, c_t2) | (~node1(s341))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27419, 27418])).
% 17.39/12.25 tff(27421,plain,
% 17.39/12.25 (~node1(s341)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27420, 195, 27338])).
% 17.39/12.25 tff(27422,plain,
% 17.39/12.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s341, s342)) | node7(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s341, s342)) | node7(s341, s342))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27423,plain,
% 17.39/12.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s341, s342)) | node7(s341, s342))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27424,plain,
% 17.39/12.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s341, s342)) | node7(s341, s342)),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27423, 27422])).
% 17.39/12.25 tff(27425,plain,
% 17.39/12.25 (node7(s341, s342)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27424, 206, 27349])).
% 17.39/12.25 tff(27426,plain,
% 17.39/12.25 (((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27427,plain,
% 17.39/12.25 (((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)) | m_main_v_state1(s342, c_c1)) <=> ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)))),
% 17.39/12.25 inference(rewrite,[status(thm)],[])).
% 17.39/12.25 tff(27428,plain,
% 17.39/12.25 (((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)) | m_main_v_state1(s342, 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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342))))),
% 17.39/12.25 inference(monotonicity,[status(thm)],[27427])).
% 17.39/12.25 tff(27429,plain,
% 17.39/12.25 (((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)) | m_main_v_state1(s342, 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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)))),
% 17.39/12.25 inference(transitivity,[status(thm)],[27428, 27426])).
% 17.39/12.25 tff(27430,plain,
% 17.39/12.25 ((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)) | m_main_v_state1(s342, c_c1))),
% 17.39/12.25 inference(quant_inst,[status(thm)],[])).
% 17.39/12.25 tff(27431,plain,
% 17.39/12.25 ((~![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(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342))),
% 17.39/12.25 inference(modus_ponens,[status(thm)],[27430, 27429])).
% 17.39/12.25 tff(27432,plain,
% 17.39/12.25 ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27431, 892, 27425])).
% 17.39/12.25 tff(27433,plain,
% 17.39/12.25 (m_main_v_state1(s342, c_c1)),
% 17.39/12.25 inference(unit_resolution,[status(thm)],[27432, 27421, 27334, 27298, 27417, 27406])).
% 17.39/12.25 tff(27434,plain,
% 17.39/12.25 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s342, c_n1)) | (~m_main_v_state1(s342, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s342, c_n1)) | (~m_main_v_state1(s342, c_c1)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27435,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s342, c_n1)) | (~m_main_v_state1(s342, c_c1)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27436,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s342, c_n1)) | (~m_main_v_state1(s342, c_c1))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27435, 27434])).
% 17.46/12.26 tff(27437,plain,
% 17.46/12.26 (~m_main_v_state1(s342, c_n1)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27436, 454, 27433])).
% 17.46/12.26 tff(27438,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s342, c_n1) | (~node11(s342)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s342, c_n1) | (~node11(s342)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27439,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s342, c_n1) | (~node11(s342)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27440,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s342, c_n1) | (~node11(s342))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27439, 27438])).
% 17.46/12.26 tff(27441,plain,
% 17.46/12.26 (~node11(s342)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27440, 238, 27437])).
% 17.46/12.26 tff(27442,plain,
% 17.46/12.26 (succ(s342, s343) <=> succ(s342, s343)),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27443,axiom,(succ(s342, s343)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound343')).
% 17.46/12.26 tff(27444,plain,
% 17.46/12.26 (succ(s342, s343)),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27443, 27442])).
% 17.46/12.26 tff(27445,plain,
% 17.46/12.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s342, s343)) | trans(s342, s343))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s342, s343)) | trans(s342, s343))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27446,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s342, s343)) | trans(s342, s343))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27447,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s342, s343)) | trans(s342, s343)),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27446, 27445])).
% 17.46/12.26 tff(27448,plain,
% 17.46/12.26 (trans(s342, s343)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27447, 27444, 32])).
% 17.46/12.26 tff(27449,plain,
% 17.46/12.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s342, s343)) | node14(s342, s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s342, s343)) | node14(s342, s343))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27450,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s342, s343)) | node14(s342, s343))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27451,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s342, s343)) | node14(s342, s343)),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27450, 27449])).
% 17.46/12.26 tff(27452,plain,
% 17.46/12.26 (node14(s342, s343)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27451, 46, 27448])).
% 17.46/12.26 tff(27453,plain,
% 17.46/12.26 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s342, c_c2) | node9(s342) | node8(s342) | node10(s342) | node11(s342) | node12(s342) | node13(s342, s343) | (~node14(s342, s343)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s342, c_c2) | node9(s342) | node8(s342) | node10(s342) | node11(s342) | node12(s342) | node13(s342, s343) | (~node14(s342, s343)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27454,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s342, c_c2) | node9(s342) | node8(s342) | node10(s342) | node11(s342) | node12(s342) | node13(s342, s343) | (~node14(s342, s343)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27455,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s342, c_c2) | node9(s342) | node8(s342) | node10(s342) | node11(s342) | node12(s342) | node13(s342, s343) | (~node14(s342, s343))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27454, 27453])).
% 17.46/12.26 tff(27456,plain,
% 17.46/12.26 (m_main_v_state2(s342, c_c2) | node9(s342) | node8(s342) | node10(s342) | node11(s342) | node12(s342) | node13(s342, s343)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27455, 296, 27452])).
% 17.46/12.26 tff(27457,plain,
% 17.46/12.26 (node13(s342, s343)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27456, 27441, 27398, 27394, 27390, 27386, 27369])).
% 17.46/12.26 tff(27458,plain,
% 17.46/12.26 (((~![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(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27459,plain,
% 17.46/12.26 (((~node13(s342, s343)) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2))) <=> (m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27460,plain,
% 17.46/12.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s342, s343)) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, 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(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343))))),
% 17.46/12.26 inference(monotonicity,[status(thm)],[27459])).
% 17.46/12.26 tff(27461,plain,
% 17.46/12.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s342, s343)) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, 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(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343)))),
% 17.46/12.26 inference(transitivity,[status(thm)],[27460, 27458])).
% 17.46/12.26 tff(27462,plain,
% 17.46/12.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s342, s343)) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27463,plain,
% 17.46/12.26 ((~![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(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27462, 27461])).
% 17.46/12.26 tff(27464,plain,
% 17.46/12.26 (~m_main_v_state2(s343, c_n2)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27463, 311, 27382, 27457])).
% 17.46/12.26 tff(27465,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s343, c_n2) | (~node9(s343)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s343, c_n2) | (~node9(s343)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27466,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s343, c_n2) | (~node9(s343)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27467,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s343, c_n2) | (~node9(s343))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27466, 27465])).
% 17.46/12.26 tff(27468,plain,
% 17.46/12.26 (~node9(s343)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27467, 88, 27464])).
% 17.46/12.26 tff(27469,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s343, c_n2) | (~node10(s343)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s343, c_n2) | (~node10(s343)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27470,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s343, c_n2) | (~node10(s343)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27471,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s343, c_n2) | (~node10(s343))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27470, 27469])).
% 17.46/12.26 tff(27472,plain,
% 17.46/12.26 (~node10(s343)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27471, 249, 27464])).
% 17.46/12.26 tff(27473,plain,
% 17.46/12.26 (((~![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(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27474,plain,
% 17.46/12.26 (((~node13(s342, s343)) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2)) <=> ((~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27475,plain,
% 17.46/12.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s342, s343)) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, 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(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343))))),
% 17.46/12.26 inference(monotonicity,[status(thm)],[27474])).
% 17.46/12.26 tff(27476,plain,
% 17.46/12.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s342, s343)) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, 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(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343)))),
% 17.46/12.26 inference(transitivity,[status(thm)],[27475, 27473])).
% 17.46/12.26 tff(27477,plain,
% 17.46/12.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s342, s343)) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27478,plain,
% 17.46/12.26 ((~![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(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27477, 27476])).
% 17.46/12.26 tff(27479,plain,
% 17.46/12.26 (m_main_v_state2(s343, c_t2)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27478, 518, 27378, 27457])).
% 17.46/12.26 tff(27480,plain,
% 17.46/12.26 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s342, c_t1)) | (~m_main_v_state1(s342, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s342, c_t1)) | (~m_main_v_state1(s342, c_c1)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27481,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s342, c_t1)) | (~m_main_v_state1(s342, c_c1)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27482,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s342, c_t1)) | (~m_main_v_state1(s342, c_c1))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27481, 27480])).
% 17.46/12.26 tff(27483,plain,
% 17.46/12.26 (~m_main_v_state1(s342, c_t1)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27482, 539, 27433])).
% 17.46/12.26 tff(27484,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s342, c_t1) | (~node5(s342)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s342, c_t1) | (~node5(s342)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27485,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s342, c_t1) | (~node5(s342)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27486,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s342, c_t1) | (~node5(s342))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27485, 27484])).
% 17.46/12.26 tff(27487,plain,
% 17.46/12.26 (~node5(s342)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27486, 550, 27483])).
% 17.46/12.26 tff(27488,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s342, c_n2) | (~node4(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s342, c_n2) | (~node4(s342)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27489,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s342, c_n2) | (~node4(s342)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27490,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s342, c_n2) | (~node4(s342))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27489, 27488])).
% 17.46/12.26 tff(27491,plain,
% 17.46/12.26 (~node4(s342)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27490, 388, 27382])).
% 17.46/12.26 tff(27492,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s342, c_c2) | (~node3(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s342, c_c2) | (~node3(s342)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27493,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s342, c_c2) | (~node3(s342)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27494,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s342, c_c2) | (~node3(s342))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27493, 27492])).
% 17.46/12.26 tff(27495,plain,
% 17.46/12.26 (~node3(s342)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27494, 399, 27398])).
% 17.46/12.26 tff(27496,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s342, c_n2) | (~node2(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s342, c_n2) | (~node2(s342)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27497,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s342, c_n2) | (~node2(s342)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27498,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s342, c_n2) | (~node2(s342))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27497, 27496])).
% 17.46/12.26 tff(27499,plain,
% 17.46/12.26 (~node2(s342)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27498, 410, 27382])).
% 17.46/12.26 tff(27500,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s342, c_n1) | (~node1(s342)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s342, c_n1) | (~node1(s342)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27501,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s342, c_n1) | (~node1(s342)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27502,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s342, c_n1) | (~node1(s342))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27501, 27500])).
% 17.46/12.26 tff(27503,plain,
% 17.46/12.26 (~node1(s342)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27502, 421, 27437])).
% 17.46/12.26 tff(27504,plain,
% 17.46/12.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s342, s343)) | node7(s342, s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s342, s343)) | node7(s342, s343))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27505,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s342, s343)) | node7(s342, s343))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27506,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s342, s343)) | node7(s342, s343)),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27505, 27504])).
% 17.46/12.26 tff(27507,plain,
% 17.46/12.26 (node7(s342, s343)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27506, 206, 27448])).
% 17.46/12.26 tff(27508,plain,
% 17.46/12.26 (((~![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(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27509,plain,
% 17.46/12.26 (((~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)) | m_main_v_state1(s343, c_n1)) <=> (m_main_v_state1(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27510,plain,
% 17.46/12.26 (((~![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(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)) | m_main_v_state1(s343, 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(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343))))),
% 17.46/12.26 inference(monotonicity,[status(thm)],[27509])).
% 17.46/12.26 tff(27511,plain,
% 17.46/12.26 (((~![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(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)) | m_main_v_state1(s343, 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(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)))),
% 17.46/12.26 inference(transitivity,[status(thm)],[27510, 27508])).
% 17.46/12.26 tff(27512,plain,
% 17.46/12.26 ((~![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(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)) | m_main_v_state1(s343, c_n1))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27513,plain,
% 17.46/12.26 ((~![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(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27512, 27511])).
% 17.46/12.26 tff(27514,plain,
% 17.46/12.26 (m_main_v_state1(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27513, 584, 27507])).
% 17.46/12.26 tff(27515,plain,
% 17.46/12.26 (m_main_v_state1(s343, c_n1)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27514, 27503, 27433, 27499, 27495, 27491, 27487])).
% 17.46/12.26 tff(27516,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s343, c_n2) | (~node8(s343)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s343, c_n2) | (~node8(s343)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27517,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s343, c_n2) | (~node8(s343)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27518,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s343, c_n2) | (~node8(s343))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27517, 27516])).
% 17.46/12.26 tff(27519,plain,
% 17.46/12.26 (~node8(s343)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27518, 271, 27464])).
% 17.46/12.26 tff(27520,plain,
% 17.46/12.26 (succ(s343, s344) <=> succ(s343, s344)),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27521,axiom,(succ(s343, s344)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound344')).
% 17.46/12.26 tff(27522,plain,
% 17.46/12.26 (succ(s343, s344)),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27521, 27520])).
% 17.46/12.26 tff(27523,plain,
% 17.46/12.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s343, s344)) | trans(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s343, s344)) | trans(s343, s344))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27524,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s343, s344)) | trans(s343, s344))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27525,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s343, s344)) | trans(s343, s344)),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27524, 27523])).
% 17.46/12.26 tff(27526,plain,
% 17.46/12.26 (trans(s343, s344)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27525, 27522, 32])).
% 17.46/12.26 tff(27527,plain,
% 17.46/12.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s343, s344)) | node14(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s343, s344)) | node14(s343, s344))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27528,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s343, s344)) | node14(s343, s344))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27529,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s343, s344)) | node14(s343, s344)),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27528, 27527])).
% 17.46/12.26 tff(27530,plain,
% 17.46/12.26 (node14(s343, s344)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27529, 46, 27526])).
% 17.46/12.26 tff(27531,plain,
% 17.46/12.26 (((~![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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | node9(s343) | node8(s343) | node10(s343) | (~node14(s343, s344)) | m_main_v_state2(s344, 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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | node9(s343) | node8(s343) | node10(s343) | (~node14(s343, s344)) | m_main_v_state2(s344, c_c2))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27532,plain,
% 17.46/12.26 ((~![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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | node9(s343) | node8(s343) | node10(s343) | (~node14(s343, s344)) | m_main_v_state2(s344, c_c2))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27533,plain,
% 17.46/12.26 ((~![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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | node9(s343) | node8(s343) | node10(s343) | (~node14(s343, s344)) | m_main_v_state2(s344, c_c2)),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27532, 27531])).
% 17.46/12.26 tff(27534,plain,
% 17.46/12.26 ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | node9(s343) | node8(s343) | node10(s343) | m_main_v_state2(s344, c_c2)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27533, 617, 27530])).
% 17.46/12.26 tff(27535,plain,
% 17.46/12.26 (m_main_v_state2(s344, c_c2)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27534, 27519, 27515, 27479, 27472, 27468])).
% 17.46/12.26 tff(27536,plain,
% 17.46/12.26 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s344, c_t2)) | (~m_main_v_state2(s344, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s344, c_t2)) | (~m_main_v_state2(s344, c_c2)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27537,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s344, c_t2)) | (~m_main_v_state2(s344, c_c2)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27538,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s344, c_t2)) | (~m_main_v_state2(s344, c_c2))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27537, 27536])).
% 17.46/12.26 tff(27539,plain,
% 17.46/12.26 (~m_main_v_state2(s344, c_t2)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27538, 260, 27535])).
% 17.46/12.26 tff(27540,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s344, c_t2) | (~node12(s344)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s344, c_t2) | (~node12(s344)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27541,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s344, c_t2) | (~node12(s344)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27542,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s344, c_t2) | (~node12(s344))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27541, 27540])).
% 17.46/12.26 tff(27543,plain,
% 17.46/12.26 (~node12(s344)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27542, 633, 27539])).
% 17.46/12.26 tff(27544,plain,
% 17.46/12.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s343, s344)) | node7(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s343, s344)) | node7(s343, s344))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27545,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s343, s344)) | node7(s343, s344))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27546,plain,
% 17.46/12.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s343, s344)) | node7(s343, s344)),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27545, 27544])).
% 17.46/12.26 tff(27547,plain,
% 17.46/12.26 (node7(s343, s344)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27546, 206, 27526])).
% 17.46/12.26 tff(27548,plain,
% 17.46/12.26 (((~![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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node7(s343, s344)) | m_main_v_state1(s344, 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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node7(s343, s344)) | m_main_v_state1(s344, c_t1))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27549,plain,
% 17.46/12.26 ((~![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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node7(s343, s344)) | m_main_v_state1(s344, c_t1))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27550,plain,
% 17.46/12.26 ((~![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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node7(s343, s344)) | m_main_v_state1(s344, c_t1)),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27549, 27548])).
% 17.46/12.26 tff(27551,plain,
% 17.46/12.26 ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | m_main_v_state1(s344, c_t1)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27550, 651, 27547])).
% 17.46/12.26 tff(27552,plain,
% 17.46/12.26 (m_main_v_state1(s344, c_t1)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27551, 27479, 27515])).
% 17.46/12.26 tff(27553,plain,
% 17.46/12.26 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s344, c_n1)) | (~m_main_v_state1(s344, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s344, c_n1)) | (~m_main_v_state1(s344, c_t1)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27554,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s344, c_n1)) | (~m_main_v_state1(s344, c_t1)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27555,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s344, c_n1)) | (~m_main_v_state1(s344, c_t1))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27554, 27553])).
% 17.46/12.26 tff(27556,plain,
% 17.46/12.26 (~m_main_v_state1(s344, c_n1)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27555, 10, 27552])).
% 17.46/12.26 tff(27557,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s344, c_n1) | (~node11(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s344, c_n1) | (~node11(s344)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27558,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s344, c_n1) | (~node11(s344)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27559,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s344, c_n1) | (~node11(s344))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27558, 27557])).
% 17.46/12.26 tff(27560,plain,
% 17.46/12.26 (~node11(s344)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27559, 238, 27556])).
% 17.46/12.26 tff(27561,plain,
% 17.46/12.26 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s344, c_t1)) | (~m_main_v_state1(s344, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s344, c_t1)) | (~m_main_v_state1(s344, c_c1)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27562,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s344, c_t1)) | (~m_main_v_state1(s344, c_c1)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27563,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s344, c_t1)) | (~m_main_v_state1(s344, c_c1))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27562, 27561])).
% 17.46/12.26 tff(27564,plain,
% 17.46/12.26 (~m_main_v_state1(s344, c_c1)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27563, 539, 27552])).
% 17.46/12.26 tff(27565,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s344, c_c1) | (~node10(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s344, c_c1) | (~node10(s344)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27566,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s344, c_c1) | (~node10(s344)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27567,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s344, c_c1) | (~node10(s344))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27566, 27565])).
% 17.46/12.26 tff(27568,plain,
% 17.46/12.26 (~node10(s344)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27567, 675, 27564])).
% 17.46/12.26 tff(27569,plain,
% 17.46/12.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s344, c_n1) | (~node9(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s344, c_n1) | (~node9(s344)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27570,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s344, c_n1) | (~node9(s344)))),
% 17.46/12.26 inference(quant_inst,[status(thm)],[])).
% 17.46/12.26 tff(27571,plain,
% 17.46/12.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s344, c_n1) | (~node9(s344))),
% 17.46/12.26 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 17.46/12.26 tff(27572,plain,
% 17.46/12.26 (~node9(s344)),
% 17.46/12.26 inference(unit_resolution,[status(thm)],[27571, 686, 27556])).
% 17.46/12.26 tff(27573,plain,
% 17.46/12.26 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s344, c_n2)) | (~m_main_v_state2(s344, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s344, c_n2)) | (~m_main_v_state2(s344, c_c2)))),
% 17.46/12.26 inference(rewrite,[status(thm)],[])).
% 17.46/12.26 tff(27574,plain,
% 17.46/12.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s344, c_n2)) | (~m_main_v_state2(s344, c_c2)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27575,plain,
% 17.46/12.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s344, c_n2)) | (~m_main_v_state2(s344, c_c2))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27574, 27573])).
% 17.46/12.27 tff(27576,plain,
% 17.46/12.27 (~m_main_v_state2(s344, c_n2)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27575, 697, 27535])).
% 17.46/12.27 tff(27577,plain,
% 17.46/12.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s344, c_n2) | (~node8(s344)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s344, c_n2) | (~node8(s344)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27578,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s344, c_n2) | (~node8(s344)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27579,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s344, c_n2) | (~node8(s344))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27578, 27577])).
% 17.46/12.27 tff(27580,plain,
% 17.46/12.27 (~node8(s344)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27579, 271, 27576])).
% 17.46/12.27 tff(27581,plain,
% 17.46/12.27 (succ(s344, s345) <=> succ(s344, s345)),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27582,axiom,(succ(s344, s345)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound345')).
% 17.46/12.27 tff(27583,plain,
% 17.46/12.27 (succ(s344, s345)),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27582, 27581])).
% 17.46/12.27 tff(27584,plain,
% 17.46/12.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s344, s345)) | trans(s344, s345))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s344, s345)) | trans(s344, s345))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27585,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s344, s345)) | trans(s344, s345))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27586,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s344, s345)) | trans(s344, s345)),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27585, 27584])).
% 17.46/12.27 tff(27587,plain,
% 17.46/12.27 (trans(s344, s345)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27586, 27583, 32])).
% 17.46/12.27 tff(27588,plain,
% 17.46/12.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s344, s345)) | node14(s344, s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s344, s345)) | node14(s344, s345))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27589,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s344, s345)) | node14(s344, s345))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27590,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s344, s345)) | node14(s344, s345)),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27589, 27588])).
% 17.46/12.27 tff(27591,plain,
% 17.46/12.27 (node14(s344, s345)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27590, 46, 27587])).
% 17.46/12.27 tff(27592,plain,
% 17.46/12.27 (((~![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(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, 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(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27593,plain,
% 17.46/12.27 (((~m_main_v_state2(s344, c_c2)) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | m_main_v_state2(s345, c_n2)) <=> (m_main_v_state2(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27594,plain,
% 17.46/12.27 (((~![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(s344, c_c2)) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | m_main_v_state2(s345, 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(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2))))),
% 17.46/12.27 inference(monotonicity,[status(thm)],[27593])).
% 17.46/12.27 tff(27595,plain,
% 17.46/12.27 (((~![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(s344, c_c2)) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | m_main_v_state2(s345, 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(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2)))),
% 17.46/12.27 inference(transitivity,[status(thm)],[27594, 27592])).
% 17.46/12.27 tff(27596,plain,
% 17.46/12.27 ((~![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(s344, c_c2)) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | m_main_v_state2(s345, c_n2))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27597,plain,
% 17.46/12.27 ((~![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(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27596, 27595])).
% 17.46/12.27 tff(27598,plain,
% 17.46/12.27 (m_main_v_state2(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~m_main_v_state2(s344, c_c2))),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27597, 726, 27591])).
% 17.46/12.27 tff(27599,plain,
% 17.46/12.27 (m_main_v_state2(s345, c_n2)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27598, 27580, 27535, 27572, 27568, 27560, 27543])).
% 17.46/12.27 tff(27600,plain,
% 17.46/12.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_c2)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27601,plain,
% 17.46/12.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_c2)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27602,plain,
% 17.46/12.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_c2))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27601, 27600])).
% 17.46/12.27 tff(27603,plain,
% 17.46/12.27 (~m_main_v_state2(s345, c_c2)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27602, 697, 27599])).
% 17.46/12.27 tff(27604,plain,
% 17.46/12.27 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s345, c_c2) | (~node3(s345)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s345, c_c2) | (~node3(s345)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27605,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s345, c_c2) | (~node3(s345)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27606,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s345, c_c2) | (~node3(s345))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27605, 27604])).
% 17.46/12.27 tff(27607,plain,
% 17.46/12.27 (~node3(s345)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27606, 399, 27603])).
% 17.46/12.27 tff(27608,plain,
% 17.46/12.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s344, c_n1) | (~node1(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s344, c_n1) | (~node1(s344)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27609,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s344, c_n1) | (~node1(s344)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27610,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s344, c_n1) | (~node1(s344))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27609, 27608])).
% 17.46/12.27 tff(27611,plain,
% 17.46/12.27 (~node1(s344)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27610, 421, 27556])).
% 17.46/12.27 tff(27612,plain,
% 17.46/12.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s343, s344)) | node18(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s343, s344)) | node18(s343, s344))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27613,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s343, s344)) | node18(s343, s344))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27614,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s343, s344)) | node18(s343, s344)),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27613, 27612])).
% 17.46/12.27 tff(27615,plain,
% 17.46/12.27 (node18(s343, s344)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27614, 125, 27526])).
% 17.46/12.27 tff(27616,plain,
% 17.46/12.27 (((~![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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node18(s343, s344)) | m_main_v_turn(s344, 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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node18(s343, s344)) | m_main_v_turn(s344, c_2))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27617,plain,
% 17.46/12.27 ((~![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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node18(s343, s344)) | m_main_v_turn(s344, c_2))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27618,plain,
% 17.46/12.27 ((~![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(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node18(s343, s344)) | m_main_v_turn(s344, c_2)),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27617, 27616])).
% 17.46/12.27 tff(27619,plain,
% 17.46/12.27 ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | m_main_v_turn(s344, c_2)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27618, 760, 27615])).
% 17.46/12.27 tff(27620,plain,
% 17.46/12.27 (m_main_v_turn(s344, c_2)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27619, 27479, 27515])).
% 17.46/12.27 tff(27621,plain,
% 17.46/12.27 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s344, c_1)) | (~m_main_v_turn(s344, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s344, c_1)) | (~m_main_v_turn(s344, c_2)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27622,plain,
% 17.46/12.27 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s344, c_1)) | (~m_main_v_turn(s344, c_2)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27623,plain,
% 17.46/12.27 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s344, c_1)) | (~m_main_v_turn(s344, c_2))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27622, 27621])).
% 17.46/12.27 tff(27624,plain,
% 17.46/12.27 (~m_main_v_turn(s344, c_1)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27623, 156, 27620])).
% 17.46/12.27 tff(27625,plain,
% 17.46/12.27 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s344, c_1) | (~node5(s344)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s344, c_1) | (~node5(s344)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27626,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s344, c_1) | (~node5(s344)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27627,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s344, c_1) | (~node5(s344))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27626, 27625])).
% 17.46/12.27 tff(27628,plain,
% 17.46/12.27 (~node5(s344)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27627, 776, 27624])).
% 17.46/12.27 tff(27629,plain,
% 17.46/12.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s344, c_n1) | (~node2(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s344, c_n1) | (~node2(s344)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27630,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s344, c_n1) | (~node2(s344)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27631,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s344, c_n1) | (~node2(s344))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27630, 27629])).
% 17.46/12.27 tff(27632,plain,
% 17.46/12.27 (~node2(s344)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27631, 787, 27556])).
% 17.46/12.27 tff(27633,plain,
% 17.46/12.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s344, c_n1) | (~node3(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s344, c_n1) | (~node3(s344)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27634,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s344, c_n1) | (~node3(s344)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27635,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s344, c_n1) | (~node3(s344))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27634, 27633])).
% 17.46/12.27 tff(27636,plain,
% 17.46/12.27 (~node3(s344)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27635, 798, 27556])).
% 17.46/12.27 tff(27637,plain,
% 17.46/12.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s344, c_n2) | (~node4(s344)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s344, c_n2) | (~node4(s344)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27638,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s344, c_n2) | (~node4(s344)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27639,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s344, c_n2) | (~node4(s344))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27638, 27637])).
% 17.46/12.27 tff(27640,plain,
% 17.46/12.27 (~node4(s344)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27639, 388, 27576])).
% 17.46/12.27 tff(27641,plain,
% 17.46/12.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s344, s345)) | node7(s344, s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s344, s345)) | node7(s344, s345))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27642,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s344, s345)) | node7(s344, s345))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27643,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s344, s345)) | node7(s344, s345)),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27642, 27641])).
% 17.46/12.27 tff(27644,plain,
% 17.46/12.27 (node7(s344, s345)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27643, 206, 27587])).
% 17.46/12.27 tff(27645,plain,
% 17.46/12.27 (((~![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(s344, c_c1) | node1(s344) | node2(s344) | node3(s344) | node4(s344) | node5(s344) | node6(s344, s345) | (~node7(s344, s345)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s344, c_c1) | node1(s344) | node2(s344) | node3(s344) | node4(s344) | node5(s344) | node6(s344, s345) | (~node7(s344, s345)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27646,plain,
% 17.46/12.27 ((~![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(s344, c_c1) | node1(s344) | node2(s344) | node3(s344) | node4(s344) | node5(s344) | node6(s344, s345) | (~node7(s344, s345)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27647,plain,
% 17.46/12.27 ((~![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(s344, c_c1) | node1(s344) | node2(s344) | node3(s344) | node4(s344) | node5(s344) | node6(s344, s345) | (~node7(s344, s345))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27646, 27645])).
% 17.46/12.27 tff(27648,plain,
% 17.46/12.27 (m_main_v_state1(s344, c_c1) | node1(s344) | node2(s344) | node3(s344) | node4(s344) | node5(s344) | node6(s344, s345)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27647, 820, 27644])).
% 17.46/12.27 tff(27649,plain,
% 17.46/12.27 (node6(s344, s345)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27648, 27640, 27564, 27636, 27632, 27628, 27611])).
% 17.46/12.27 tff(27650,plain,
% 17.46/12.27 (((~![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(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27651,plain,
% 17.46/12.27 (((~node6(s344, s345)) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1))) <=> (m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27652,plain,
% 17.46/12.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s344, s345)) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, 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(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345))))),
% 17.46/12.27 inference(monotonicity,[status(thm)],[27651])).
% 17.46/12.27 tff(27653,plain,
% 17.46/12.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s344, s345)) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, 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(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345)))),
% 17.46/12.27 inference(transitivity,[status(thm)],[27652, 27650])).
% 17.46/12.27 tff(27654,plain,
% 17.46/12.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s344, s345)) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27655,plain,
% 17.46/12.27 ((~![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(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27654, 27653])).
% 17.46/12.27 tff(27656,plain,
% 17.46/12.27 (~m_main_v_state1(s345, c_n1)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27655, 835, 27556, 27649])).
% 17.46/12.27 tff(27657,plain,
% 17.46/12.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s345, c_n1) | (~node2(s345)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s345, c_n1) | (~node2(s345)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27658,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s345, c_n1) | (~node2(s345)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27659,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s345, c_n1) | (~node2(s345))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27658, 27657])).
% 17.46/12.27 tff(27660,plain,
% 17.46/12.27 (~node2(s345)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27659, 787, 27656])).
% 17.46/12.27 tff(27661,plain,
% 17.46/12.27 (((~![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(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27662,plain,
% 17.46/12.27 (((~node6(s344, s345)) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1)) <=> ((~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27663,plain,
% 17.46/12.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s344, s345)) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, 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(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345))))),
% 17.46/12.27 inference(monotonicity,[status(thm)],[27662])).
% 17.46/12.27 tff(27664,plain,
% 17.46/12.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s344, s345)) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, 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(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345)))),
% 17.46/12.27 inference(transitivity,[status(thm)],[27663, 27661])).
% 17.46/12.27 tff(27665,plain,
% 17.46/12.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s344, s345)) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27666,plain,
% 17.46/12.27 ((~![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(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27665, 27664])).
% 17.46/12.27 tff(27667,plain,
% 17.46/12.27 (m_main_v_state1(s345, c_t1)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27666, 856, 27552, 27649])).
% 17.46/12.27 tff(27668,plain,
% 17.46/12.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_t2)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27669,plain,
% 17.46/12.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_t2)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27670,plain,
% 17.46/12.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_t2))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27669, 27668])).
% 17.46/12.27 tff(27671,plain,
% 17.46/12.27 (~m_main_v_state2(s345, c_t2)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27670, 77, 27599])).
% 17.46/12.27 tff(27672,plain,
% 17.46/12.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s345, c_t2) | (~node1(s345)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s345, c_t2) | (~node1(s345)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27673,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s345, c_t2) | (~node1(s345)))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27674,plain,
% 17.46/12.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s345, c_t2) | (~node1(s345))),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27673, 27672])).
% 17.46/12.27 tff(27675,plain,
% 17.46/12.27 (~node1(s345)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27674, 195, 27671])).
% 17.46/12.27 tff(27676,plain,
% 17.46/12.27 (succ(s345, s346) <=> succ(s345, s346)),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27677,axiom,(succ(s345, s346)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound346')).
% 17.46/12.27 tff(27678,plain,
% 17.46/12.27 (succ(s345, s346)),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27677, 27676])).
% 17.46/12.27 tff(27679,plain,
% 17.46/12.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s345, s346)) | trans(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s345, s346)) | trans(s345, s346))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27680,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s345, s346)) | trans(s345, s346))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27681,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s345, s346)) | trans(s345, s346)),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27680, 27679])).
% 17.46/12.27 tff(27682,plain,
% 17.46/12.27 (trans(s345, s346)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27681, 27678, 32])).
% 17.46/12.27 tff(27683,plain,
% 17.46/12.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s345, s346)) | node7(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s345, s346)) | node7(s345, s346))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27684,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s345, s346)) | node7(s345, s346))),
% 17.46/12.27 inference(quant_inst,[status(thm)],[])).
% 17.46/12.27 tff(27685,plain,
% 17.46/12.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s345, s346)) | node7(s345, s346)),
% 17.46/12.27 inference(modus_ponens,[status(thm)],[27684, 27683])).
% 17.46/12.27 tff(27686,plain,
% 17.46/12.27 (node7(s345, s346)),
% 17.46/12.27 inference(unit_resolution,[status(thm)],[27685, 206, 27682])).
% 17.46/12.27 tff(27687,plain,
% 17.46/12.27 (((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27688,plain,
% 17.46/12.27 (((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)) | m_main_v_state1(s346, c_c1)) <=> ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)))),
% 17.46/12.27 inference(rewrite,[status(thm)],[])).
% 17.46/12.27 tff(27689,plain,
% 17.46/12.27 (((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)) | m_main_v_state1(s346, 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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346))))),
% 17.46/12.27 inference(monotonicity,[status(thm)],[27688])).
% 17.46/12.27 tff(27690,plain,
% 17.46/12.27 (((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)) | m_main_v_state1(s346, 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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)))),
% 17.46/12.27 inference(transitivity,[status(thm)],[27689, 27687])).
% 17.46/12.27 tff(27691,plain,
% 17.46/12.27 ((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)) | m_main_v_state1(s346, c_c1))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27692,plain,
% 17.46/12.28 ((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27691, 27690])).
% 17.46/12.28 tff(27693,plain,
% 17.46/12.28 ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27692, 892, 27686])).
% 17.46/12.28 tff(27694,plain,
% 17.46/12.28 (m_main_v_state1(s346, c_c1)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27693, 27675, 27599, 27667, 27660, 27607])).
% 17.46/12.28 tff(27695,plain,
% 17.46/12.28 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s346, c_t1)) | (~m_main_v_state1(s346, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s346, c_t1)) | (~m_main_v_state1(s346, c_c1)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27696,plain,
% 17.46/12.28 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s346, c_t1)) | (~m_main_v_state1(s346, c_c1)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27697,plain,
% 17.46/12.28 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s346, c_t1)) | (~m_main_v_state1(s346, c_c1))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27696, 27695])).
% 17.46/12.28 tff(27698,plain,
% 17.46/12.28 (~m_main_v_state1(s346, c_t1)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27697, 539, 27694])).
% 17.46/12.28 tff(27699,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s346, c_t1) | (~node5(s346)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s346, c_t1) | (~node5(s346)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27700,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s346, c_t1) | (~node5(s346)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27701,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s346, c_t1) | (~node5(s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 17.46/12.28 tff(27702,plain,
% 17.46/12.28 (~node5(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27701, 550, 27698])).
% 17.46/12.28 tff(27703,plain,
% 17.46/12.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s345, s346)) | node14(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s345, s346)) | node14(s345, s346))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27704,plain,
% 17.46/12.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s345, s346)) | node14(s345, s346))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27705,plain,
% 17.46/12.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s345, s346)) | node14(s345, s346)),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 17.46/12.28 tff(27706,plain,
% 17.46/12.28 (node14(s345, s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27705, 46, 27682])).
% 17.46/12.28 tff(27707,plain,
% 17.46/12.28 (((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | (~node14(s345, s346)) | m_main_v_state2(s346, 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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | (~node14(s345, s346)) | m_main_v_state2(s346, c_t2))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27708,plain,
% 17.46/12.28 ((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | (~node14(s345, s346)) | m_main_v_state2(s346, c_t2))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27709,plain,
% 17.46/12.28 ((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | (~node14(s345, s346)) | m_main_v_state2(s346, c_t2)),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27708, 27707])).
% 17.46/12.28 tff(27710,plain,
% 17.46/12.28 ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state2(s346, c_t2)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27709, 922, 27706])).
% 17.46/12.28 tff(27711,plain,
% 17.46/12.28 (m_main_v_state2(s346, c_t2)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27710, 27667, 27599])).
% 17.46/12.28 tff(27712,plain,
% 17.46/12.28 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s346, c_n2)) | (~m_main_v_state2(s346, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s346, c_n2)) | (~m_main_v_state2(s346, c_t2)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27713,plain,
% 17.46/12.28 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s346, c_n2)) | (~m_main_v_state2(s346, c_t2)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27714,plain,
% 17.46/12.28 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s346, c_n2)) | (~m_main_v_state2(s346, c_t2))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27713, 27712])).
% 17.46/12.28 tff(27715,plain,
% 17.46/12.28 (~m_main_v_state2(s346, c_n2)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27714, 77, 27711])).
% 17.46/12.28 tff(27716,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s346, c_n2) | (~node4(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s346, c_n2) | (~node4(s346)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27717,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s346, c_n2) | (~node4(s346)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27718,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s346, c_n2) | (~node4(s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27717, 27716])).
% 17.46/12.28 tff(27719,plain,
% 17.46/12.28 (~node4(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27718, 388, 27715])).
% 17.46/12.28 tff(27720,plain,
% 17.46/12.28 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s346, c_t2)) | (~m_main_v_state2(s346, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s346, c_t2)) | (~m_main_v_state2(s346, c_c2)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27721,plain,
% 17.46/12.28 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s346, c_t2)) | (~m_main_v_state2(s346, c_c2)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27722,plain,
% 17.46/12.28 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s346, c_t2)) | (~m_main_v_state2(s346, c_c2))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27721, 27720])).
% 17.46/12.28 tff(27723,plain,
% 17.46/12.28 (~m_main_v_state2(s346, c_c2)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27722, 260, 27711])).
% 17.46/12.28 tff(27724,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s346, c_c2) | (~node3(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s346, c_c2) | (~node3(s346)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27725,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s346, c_c2) | (~node3(s346)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27726,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s346, c_c2) | (~node3(s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27725, 27724])).
% 17.46/12.28 tff(27727,plain,
% 17.46/12.28 (~node3(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27726, 399, 27723])).
% 17.46/12.28 tff(27728,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s346, c_n2) | (~node2(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s346, c_n2) | (~node2(s346)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27729,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s346, c_n2) | (~node2(s346)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27730,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s346, c_n2) | (~node2(s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27729, 27728])).
% 17.46/12.28 tff(27731,plain,
% 17.46/12.28 (~node2(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27730, 410, 27715])).
% 17.46/12.28 tff(27732,plain,
% 17.46/12.28 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s346, c_n1)) | (~m_main_v_state1(s346, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s346, c_n1)) | (~m_main_v_state1(s346, c_c1)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27733,plain,
% 17.46/12.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s346, c_n1)) | (~m_main_v_state1(s346, c_c1)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27734,plain,
% 17.46/12.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s346, c_n1)) | (~m_main_v_state1(s346, c_c1))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27733, 27732])).
% 17.46/12.28 tff(27735,plain,
% 17.46/12.28 (~m_main_v_state1(s346, c_n1)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27734, 454, 27694])).
% 17.46/12.28 tff(27736,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s346, c_n1) | (~node1(s346)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s346, c_n1) | (~node1(s346)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27737,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s346, c_n1) | (~node1(s346)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27738,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s346, c_n1) | (~node1(s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27737, 27736])).
% 17.46/12.28 tff(27739,plain,
% 17.46/12.28 (~node1(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27738, 421, 27735])).
% 17.46/12.28 tff(27740,plain,
% 17.46/12.28 (succ(s346, s347) <=> succ(s346, s347)),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27741,axiom,(succ(s346, s347)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound347')).
% 17.46/12.28 tff(27742,plain,
% 17.46/12.28 (succ(s346, s347)),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27741, 27740])).
% 17.46/12.28 tff(27743,plain,
% 17.46/12.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s346, s347)) | trans(s346, s347))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s346, s347)) | trans(s346, s347))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27744,plain,
% 17.46/12.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s346, s347)) | trans(s346, s347))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27745,plain,
% 17.46/12.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s346, s347)) | trans(s346, s347)),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27744, 27743])).
% 17.46/12.28 tff(27746,plain,
% 17.46/12.28 (trans(s346, s347)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27745, 27742, 32])).
% 17.46/12.28 tff(27747,plain,
% 17.46/12.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s346, s347)) | node7(s346, s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s346, s347)) | node7(s346, s347))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27748,plain,
% 17.46/12.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s346, s347)) | node7(s346, s347))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27749,plain,
% 17.46/12.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s346, s347)) | node7(s346, s347)),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27748, 27747])).
% 17.46/12.28 tff(27750,plain,
% 17.46/12.28 (node7(s346, s347)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27749, 206, 27746])).
% 17.46/12.28 tff(27751,plain,
% 17.46/12.28 (((~![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(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27752,plain,
% 17.46/12.28 (((~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)) | m_main_v_state1(s347, c_n1)) <=> (m_main_v_state1(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27753,plain,
% 17.46/12.28 (((~![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(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)) | m_main_v_state1(s347, 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(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347))))),
% 17.46/12.28 inference(monotonicity,[status(thm)],[27752])).
% 17.46/12.28 tff(27754,plain,
% 17.46/12.28 (((~![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(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)) | m_main_v_state1(s347, 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(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)))),
% 17.46/12.28 inference(transitivity,[status(thm)],[27753, 27751])).
% 17.46/12.28 tff(27755,plain,
% 17.46/12.28 ((~![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(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)) | m_main_v_state1(s347, c_n1))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27756,plain,
% 17.46/12.28 ((~![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(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27755, 27754])).
% 17.46/12.28 tff(27757,plain,
% 17.46/12.28 (m_main_v_state1(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27756, 584, 27750])).
% 17.46/12.28 tff(27758,plain,
% 17.46/12.28 (m_main_v_state1(s347, c_n1)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27757, 27739, 27694, 27731, 27727, 27719, 27702])).
% 17.46/12.28 tff(27759,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s345, c_t2) | (~node15(s345)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s345, c_t2) | (~node15(s345)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27760,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s345, c_t2) | (~node15(s345)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27761,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s345, c_t2) | (~node15(s345))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27760, 27759])).
% 17.46/12.28 tff(27762,plain,
% 17.46/12.28 (~node15(s345)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27761, 103, 27671])).
% 17.46/12.28 tff(27763,plain,
% 17.46/12.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s345, s346)) | node18(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s345, s346)) | node18(s345, s346))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27764,plain,
% 17.46/12.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s345, s346)) | node18(s345, s346))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27765,plain,
% 17.46/12.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s345, s346)) | node18(s345, s346)),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27764, 27763])).
% 17.46/12.28 tff(27766,plain,
% 17.46/12.28 (node18(s345, s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27765, 125, 27682])).
% 17.46/12.28 tff(27767,plain,
% 17.46/12.28 (((~![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(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27768,plain,
% 17.46/12.28 (((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node15(s345) | (~node18(s345, s346)) | m_main_v_turn(s346, c_1)) <=> (node15(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27769,plain,
% 17.46/12.28 (((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node15(s345) | (~node18(s345, s346)) | m_main_v_turn(s346, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1)))),
% 17.46/12.28 inference(monotonicity,[status(thm)],[27768])).
% 17.46/12.28 tff(27770,plain,
% 17.46/12.28 (((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node15(s345) | (~node18(s345, s346)) | m_main_v_turn(s346, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1))),
% 17.46/12.28 inference(transitivity,[status(thm)],[27769, 27767])).
% 17.46/12.28 tff(27771,plain,
% 17.46/12.28 ((~![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(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node15(s345) | (~node18(s345, s346)) | m_main_v_turn(s346, c_1))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27772,plain,
% 17.46/12.28 ((~![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(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1)),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27771, 27770])).
% 17.46/12.28 tff(27773,plain,
% 17.46/12.28 (node15(s345) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27772, 992, 27766])).
% 17.46/12.28 tff(27774,plain,
% 17.46/12.28 (m_main_v_turn(s346, c_1)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27773, 27762, 27599, 27667])).
% 17.46/12.28 tff(27775,plain,
% 17.46/12.28 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s346, c_1)) | (~m_main_v_turn(s346, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s346, c_1)) | (~m_main_v_turn(s346, c_2)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27776,plain,
% 17.46/12.28 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s346, c_1)) | (~m_main_v_turn(s346, c_2)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27777,plain,
% 17.46/12.28 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s346, c_1)) | (~m_main_v_turn(s346, c_2))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27776, 27775])).
% 17.46/12.28 tff(27778,plain,
% 17.46/12.28 (~m_main_v_turn(s346, c_2)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27777, 156, 27774])).
% 17.46/12.28 tff(27779,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s346, c_2) | (~node12(s346)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s346, c_2) | (~node12(s346)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27780,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s346, c_2) | (~node12(s346)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27781,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s346, c_2) | (~node12(s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 17.46/12.28 tff(27782,plain,
% 17.46/12.28 (~node12(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27781, 184, 27778])).
% 17.46/12.28 tff(27783,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s346, c_n2) | (~node8(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s346, c_n2) | (~node8(s346)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27784,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s346, c_n2) | (~node8(s346)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27785,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s346, c_n2) | (~node8(s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27784, 27783])).
% 17.46/12.28 tff(27786,plain,
% 17.46/12.28 (~node8(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27785, 271, 27715])).
% 17.46/12.28 tff(27787,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s346, c_n2) | (~node9(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s346, c_n2) | (~node9(s346)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27788,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s346, c_n2) | (~node9(s346)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27789,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s346, c_n2) | (~node9(s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27788, 27787])).
% 17.46/12.28 tff(27790,plain,
% 17.46/12.28 (~node9(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27789, 88, 27715])).
% 17.46/12.28 tff(27791,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s346, c_n2) | (~node10(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s346, c_n2) | (~node10(s346)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27792,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s346, c_n2) | (~node10(s346)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27793,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s346, c_n2) | (~node10(s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27792, 27791])).
% 17.46/12.28 tff(27794,plain,
% 17.46/12.28 (~node10(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27793, 249, 27715])).
% 17.46/12.28 tff(27795,plain,
% 17.46/12.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s346, c_n1) | (~node11(s346)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s346, c_n1) | (~node11(s346)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27796,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s346, c_n1) | (~node11(s346)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27797,plain,
% 17.46/12.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s346, c_n1) | (~node11(s346))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27796, 27795])).
% 17.46/12.28 tff(27798,plain,
% 17.46/12.28 (~node11(s346)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27797, 238, 27735])).
% 17.46/12.28 tff(27799,plain,
% 17.46/12.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s346, s347)) | node14(s346, s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s346, s347)) | node14(s346, s347))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27800,plain,
% 17.46/12.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s346, s347)) | node14(s346, s347))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27801,plain,
% 17.46/12.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s346, s347)) | node14(s346, s347)),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27800, 27799])).
% 17.46/12.28 tff(27802,plain,
% 17.46/12.28 (node14(s346, s347)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27801, 46, 27746])).
% 17.46/12.28 tff(27803,plain,
% 17.46/12.28 (((~![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(s346, c_c2) | node9(s346) | node8(s346) | node10(s346) | node11(s346) | node12(s346) | node13(s346, s347) | (~node14(s346, s347)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s346, c_c2) | node9(s346) | node8(s346) | node10(s346) | node11(s346) | node12(s346) | node13(s346, s347) | (~node14(s346, s347)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27804,plain,
% 17.46/12.28 ((~![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(s346, c_c2) | node9(s346) | node8(s346) | node10(s346) | node11(s346) | node12(s346) | node13(s346, s347) | (~node14(s346, s347)))),
% 17.46/12.28 inference(quant_inst,[status(thm)],[])).
% 17.46/12.28 tff(27805,plain,
% 17.46/12.28 ((~![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(s346, c_c2) | node9(s346) | node8(s346) | node10(s346) | node11(s346) | node12(s346) | node13(s346, s347) | (~node14(s346, s347))),
% 17.46/12.28 inference(modus_ponens,[status(thm)],[27804, 27803])).
% 17.46/12.28 tff(27806,plain,
% 17.46/12.28 (m_main_v_state2(s346, c_c2) | node9(s346) | node8(s346) | node10(s346) | node11(s346) | node12(s346) | node13(s346, s347)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27805, 296, 27802])).
% 17.46/12.28 tff(27807,plain,
% 17.46/12.28 (node13(s346, s347)),
% 17.46/12.28 inference(unit_resolution,[status(thm)],[27806, 27798, 27723, 27794, 27790, 27786, 27782])).
% 17.46/12.28 tff(27808,plain,
% 17.46/12.28 (((~![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(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27809,plain,
% 17.46/12.28 (((~node13(s346, s347)) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2)) <=> ((~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347)))),
% 17.46/12.28 inference(rewrite,[status(thm)],[])).
% 17.46/12.28 tff(27810,plain,
% 17.46/12.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s346, s347)) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, 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(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347))))),
% 17.46/12.29 inference(monotonicity,[status(thm)],[27809])).
% 17.46/12.29 tff(27811,plain,
% 17.46/12.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s346, s347)) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, 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(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347)))),
% 17.46/12.29 inference(transitivity,[status(thm)],[27810, 27808])).
% 17.46/12.29 tff(27812,plain,
% 17.46/12.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s346, s347)) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27813,plain,
% 17.46/12.29 ((~![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(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27812, 27811])).
% 17.46/12.29 tff(27814,plain,
% 17.46/12.29 (m_main_v_state2(s347, c_t2)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27813, 518, 27711, 27807])).
% 17.46/12.29 tff(27815,plain,
% 17.46/12.29 (succ(s347, s348) <=> succ(s347, s348)),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27816,axiom,(succ(s347, s348)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound348')).
% 17.46/12.29 tff(27817,plain,
% 17.46/12.29 (succ(s347, s348)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27816, 27815])).
% 17.46/12.29 tff(27818,plain,
% 17.46/12.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s347, s348)) | trans(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s347, s348)) | trans(s347, s348))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27819,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s347, s348)) | trans(s347, s348))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27820,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s347, s348)) | trans(s347, s348)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27819, 27818])).
% 17.46/12.29 tff(27821,plain,
% 17.46/12.29 (trans(s347, s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27820, 27817, 32])).
% 17.46/12.29 tff(27822,plain,
% 17.46/12.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s347, s348)) | node7(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s347, s348)) | node7(s347, s348))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27823,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s347, s348)) | node7(s347, s348))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27824,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s347, s348)) | node7(s347, s348)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27823, 27822])).
% 17.46/12.29 tff(27825,plain,
% 17.46/12.29 (node7(s347, s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27824, 206, 27821])).
% 17.46/12.29 tff(27826,plain,
% 17.46/12.29 (((~![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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node7(s347, s348)) | m_main_v_state1(s348, 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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node7(s347, s348)) | m_main_v_state1(s348, c_t1))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27827,plain,
% 17.46/12.29 ((~![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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node7(s347, s348)) | m_main_v_state1(s348, c_t1))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27828,plain,
% 17.46/12.29 ((~![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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node7(s347, s348)) | m_main_v_state1(s348, c_t1)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27827, 27826])).
% 17.46/12.29 tff(27829,plain,
% 17.46/12.29 ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | m_main_v_state1(s348, c_t1)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27828, 651, 27825])).
% 17.46/12.29 tff(27830,plain,
% 17.46/12.29 (m_main_v_state1(s348, c_t1)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27829, 27814, 27758])).
% 17.46/12.29 tff(27831,plain,
% 17.46/12.29 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s348, c_n1)) | (~m_main_v_state1(s348, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s348, c_n1)) | (~m_main_v_state1(s348, c_t1)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27832,plain,
% 17.46/12.29 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s348, c_n1)) | (~m_main_v_state1(s348, c_t1)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27833,plain,
% 17.46/12.29 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s348, c_n1)) | (~m_main_v_state1(s348, c_t1))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27832, 27831])).
% 17.46/12.29 tff(27834,plain,
% 17.46/12.29 (~m_main_v_state1(s348, c_n1)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27833, 10, 27830])).
% 17.46/12.29 tff(27835,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s348, c_n1) | (~node1(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s348, c_n1) | (~node1(s348)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27836,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s348, c_n1) | (~node1(s348)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27837,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s348, c_n1) | (~node1(s348))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27836, 27835])).
% 17.46/12.29 tff(27838,plain,
% 17.46/12.29 (~node1(s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27837, 421, 27834])).
% 17.46/12.29 tff(27839,plain,
% 17.46/12.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s347, s348)) | node18(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s347, s348)) | node18(s347, s348))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27840,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s347, s348)) | node18(s347, s348))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27841,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s347, s348)) | node18(s347, s348)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27840, 27839])).
% 17.46/12.29 tff(27842,plain,
% 17.46/12.29 (node18(s347, s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27841, 125, 27821])).
% 17.46/12.29 tff(27843,plain,
% 17.46/12.29 (((~![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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node18(s347, s348)) | m_main_v_turn(s348, 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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node18(s347, s348)) | m_main_v_turn(s348, c_2))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27844,plain,
% 17.46/12.29 ((~![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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node18(s347, s348)) | m_main_v_turn(s348, c_2))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27845,plain,
% 17.46/12.29 ((~![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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node18(s347, s348)) | m_main_v_turn(s348, c_2)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27844, 27843])).
% 17.46/12.29 tff(27846,plain,
% 17.46/12.29 ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | m_main_v_turn(s348, c_2)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27845, 760, 27842])).
% 17.46/12.29 tff(27847,plain,
% 17.46/12.29 (m_main_v_turn(s348, c_2)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27846, 27814, 27758])).
% 17.46/12.29 tff(27848,plain,
% 17.46/12.29 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s348, c_1)) | (~m_main_v_turn(s348, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s348, c_1)) | (~m_main_v_turn(s348, c_2)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27849,plain,
% 17.46/12.29 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s348, c_1)) | (~m_main_v_turn(s348, c_2)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27850,plain,
% 17.46/12.29 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s348, c_1)) | (~m_main_v_turn(s348, c_2))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27849, 27848])).
% 17.46/12.29 tff(27851,plain,
% 17.46/12.29 (~m_main_v_turn(s348, c_1)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27850, 156, 27847])).
% 17.46/12.29 tff(27852,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s348, c_1) | (~node5(s348)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s348, c_1) | (~node5(s348)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27853,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s348, c_1) | (~node5(s348)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27854,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s348, c_1) | (~node5(s348))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27853, 27852])).
% 17.46/12.29 tff(27855,plain,
% 17.46/12.29 (~node5(s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27854, 776, 27851])).
% 17.46/12.29 tff(27856,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s348, c_n1) | (~node2(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s348, c_n1) | (~node2(s348)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27857,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s348, c_n1) | (~node2(s348)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27858,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s348, c_n1) | (~node2(s348))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27857, 27856])).
% 17.46/12.29 tff(27859,plain,
% 17.46/12.29 (~node2(s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27858, 787, 27834])).
% 17.46/12.29 tff(27860,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s348, c_n1) | (~node3(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s348, c_n1) | (~node3(s348)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27861,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s348, c_n1) | (~node3(s348)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27862,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s348, c_n1) | (~node3(s348))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27861, 27860])).
% 17.46/12.29 tff(27863,plain,
% 17.46/12.29 (~node3(s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27862, 798, 27834])).
% 17.46/12.29 tff(27864,plain,
% 17.46/12.29 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s348, c_t1)) | (~m_main_v_state1(s348, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s348, c_t1)) | (~m_main_v_state1(s348, c_c1)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27865,plain,
% 17.46/12.29 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s348, c_t1)) | (~m_main_v_state1(s348, c_c1)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27866,plain,
% 17.46/12.29 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s348, c_t1)) | (~m_main_v_state1(s348, c_c1))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27865, 27864])).
% 17.46/12.29 tff(27867,plain,
% 17.46/12.29 (~m_main_v_state1(s348, c_c1)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27866, 539, 27830])).
% 17.46/12.29 tff(27868,plain,
% 17.46/12.29 (((~![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(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27869,plain,
% 17.46/12.29 (((~node13(s346, s347)) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2))) <=> (m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27870,plain,
% 17.46/12.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s346, s347)) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, 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(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347))))),
% 17.46/12.29 inference(monotonicity,[status(thm)],[27869])).
% 17.46/12.29 tff(27871,plain,
% 17.46/12.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s346, s347)) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, 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(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347)))),
% 17.46/12.29 inference(transitivity,[status(thm)],[27870, 27868])).
% 17.46/12.29 tff(27872,plain,
% 17.46/12.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s346, s347)) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27873,plain,
% 17.46/12.29 ((~![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(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27872, 27871])).
% 17.46/12.29 tff(27874,plain,
% 17.46/12.29 (~m_main_v_state2(s347, c_n2)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27873, 311, 27715, 27807])).
% 17.46/12.29 tff(27875,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s347, c_n2) | (~node9(s347)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s347, c_n2) | (~node9(s347)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27876,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s347, c_n2) | (~node9(s347)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27877,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s347, c_n2) | (~node9(s347))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27876, 27875])).
% 17.46/12.29 tff(27878,plain,
% 17.46/12.29 (~node9(s347)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27877, 88, 27874])).
% 17.46/12.29 tff(27879,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s347, c_n2) | (~node10(s347)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s347, c_n2) | (~node10(s347)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27880,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s347, c_n2) | (~node10(s347)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27881,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s347, c_n2) | (~node10(s347))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27880, 27879])).
% 17.46/12.29 tff(27882,plain,
% 17.46/12.29 (~node10(s347)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27881, 249, 27874])).
% 17.46/12.29 tff(27883,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s347, c_n2) | (~node8(s347)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s347, c_n2) | (~node8(s347)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27884,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s347, c_n2) | (~node8(s347)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27885,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s347, c_n2) | (~node8(s347))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27884, 27883])).
% 17.46/12.29 tff(27886,plain,
% 17.46/12.29 (~node8(s347)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27885, 271, 27874])).
% 17.46/12.29 tff(27887,plain,
% 17.46/12.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s347, s348)) | node14(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s347, s348)) | node14(s347, s348))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27888,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s347, s348)) | node14(s347, s348))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27889,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s347, s348)) | node14(s347, s348)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27888, 27887])).
% 17.46/12.29 tff(27890,plain,
% 17.46/12.29 (node14(s347, s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27889, 46, 27821])).
% 17.46/12.29 tff(27891,plain,
% 17.46/12.29 (((~![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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | node9(s347) | node8(s347) | node10(s347) | (~node14(s347, s348)) | m_main_v_state2(s348, 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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | node9(s347) | node8(s347) | node10(s347) | (~node14(s347, s348)) | m_main_v_state2(s348, c_c2))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27892,plain,
% 17.46/12.29 ((~![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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | node9(s347) | node8(s347) | node10(s347) | (~node14(s347, s348)) | m_main_v_state2(s348, c_c2))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27893,plain,
% 17.46/12.29 ((~![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(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | node9(s347) | node8(s347) | node10(s347) | (~node14(s347, s348)) | m_main_v_state2(s348, c_c2)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27892, 27891])).
% 17.46/12.29 tff(27894,plain,
% 17.46/12.29 ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | node9(s347) | node8(s347) | node10(s347) | m_main_v_state2(s348, c_c2)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27893, 617, 27890])).
% 17.46/12.29 tff(27895,plain,
% 17.46/12.29 (m_main_v_state2(s348, c_c2)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27894, 27886, 27758, 27814, 27882, 27878])).
% 17.46/12.29 tff(27896,plain,
% 17.46/12.29 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s348, c_n2)) | (~m_main_v_state2(s348, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s348, c_n2)) | (~m_main_v_state2(s348, c_c2)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27897,plain,
% 17.46/12.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s348, c_n2)) | (~m_main_v_state2(s348, c_c2)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27898,plain,
% 17.46/12.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s348, c_n2)) | (~m_main_v_state2(s348, c_c2))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27897, 27896])).
% 17.46/12.29 tff(27899,plain,
% 17.46/12.29 (~m_main_v_state2(s348, c_n2)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27898, 697, 27895])).
% 17.46/12.29 tff(27900,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s348, c_n2) | (~node4(s348)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s348, c_n2) | (~node4(s348)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27901,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s348, c_n2) | (~node4(s348)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27902,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s348, c_n2) | (~node4(s348))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27901, 27900])).
% 17.46/12.29 tff(27903,plain,
% 17.46/12.29 (~node4(s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27902, 388, 27899])).
% 17.46/12.29 tff(27904,plain,
% 17.46/12.29 (succ(s348, s349) <=> succ(s348, s349)),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27905,axiom,(succ(s348, s349)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound349')).
% 17.46/12.29 tff(27906,plain,
% 17.46/12.29 (succ(s348, s349)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27905, 27904])).
% 17.46/12.29 tff(27907,plain,
% 17.46/12.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s348, s349)) | trans(s348, s349))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s348, s349)) | trans(s348, s349))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27908,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s348, s349)) | trans(s348, s349))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27909,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s348, s349)) | trans(s348, s349)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27908, 27907])).
% 17.46/12.29 tff(27910,plain,
% 17.46/12.29 (trans(s348, s349)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27909, 27906, 32])).
% 17.46/12.29 tff(27911,plain,
% 17.46/12.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s348, s349)) | node7(s348, s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s348, s349)) | node7(s348, s349))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27912,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s348, s349)) | node7(s348, s349))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27913,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s348, s349)) | node7(s348, s349)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27912, 27911])).
% 17.46/12.29 tff(27914,plain,
% 17.46/12.29 (node7(s348, s349)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27913, 206, 27910])).
% 17.46/12.29 tff(27915,plain,
% 17.46/12.29 (((~![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(s348, c_c1) | node1(s348) | node2(s348) | node3(s348) | node4(s348) | node5(s348) | node6(s348, s349) | (~node7(s348, s349)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s348, c_c1) | node1(s348) | node2(s348) | node3(s348) | node4(s348) | node5(s348) | node6(s348, s349) | (~node7(s348, s349)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27916,plain,
% 17.46/12.29 ((~![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(s348, c_c1) | node1(s348) | node2(s348) | node3(s348) | node4(s348) | node5(s348) | node6(s348, s349) | (~node7(s348, s349)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27917,plain,
% 17.46/12.29 ((~![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(s348, c_c1) | node1(s348) | node2(s348) | node3(s348) | node4(s348) | node5(s348) | node6(s348, s349) | (~node7(s348, s349))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27916, 27915])).
% 17.46/12.29 tff(27918,plain,
% 17.46/12.29 (m_main_v_state1(s348, c_c1) | node1(s348) | node2(s348) | node3(s348) | node4(s348) | node5(s348) | node6(s348, s349)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27917, 820, 27914])).
% 17.46/12.29 tff(27919,plain,
% 17.46/12.29 (node6(s348, s349)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27918, 27903, 27867, 27863, 27859, 27855, 27838])).
% 17.46/12.29 tff(27920,plain,
% 17.46/12.29 (((~![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(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27921,plain,
% 17.46/12.29 (((~node6(s348, s349)) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1)) <=> ((~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27922,plain,
% 17.46/12.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s348, s349)) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, 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(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349))))),
% 17.46/12.29 inference(monotonicity,[status(thm)],[27921])).
% 17.46/12.29 tff(27923,plain,
% 17.46/12.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s348, s349)) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, 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(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349)))),
% 17.46/12.29 inference(transitivity,[status(thm)],[27922, 27920])).
% 17.46/12.29 tff(27924,plain,
% 17.46/12.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s348, s349)) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27925,plain,
% 17.46/12.29 ((~![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(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27924, 27923])).
% 17.46/12.29 tff(27926,plain,
% 17.46/12.29 (m_main_v_state1(s349, c_t1)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27925, 856, 27830, 27919])).
% 17.46/12.29 tff(27927,plain,
% 17.46/12.29 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s348, c_t2)) | (~m_main_v_state2(s348, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s348, c_t2)) | (~m_main_v_state2(s348, c_c2)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27928,plain,
% 17.46/12.29 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s348, c_t2)) | (~m_main_v_state2(s348, c_c2)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27929,plain,
% 17.46/12.29 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s348, c_t2)) | (~m_main_v_state2(s348, c_c2))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27928, 27927])).
% 17.46/12.29 tff(27930,plain,
% 17.46/12.29 (~m_main_v_state2(s348, c_t2)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27929, 260, 27895])).
% 17.46/12.29 tff(27931,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s348, c_t2) | (~node12(s348)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s348, c_t2) | (~node12(s348)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27932,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s348, c_t2) | (~node12(s348)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27933,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s348, c_t2) | (~node12(s348))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27932, 27931])).
% 17.46/12.29 tff(27934,plain,
% 17.46/12.29 (~node12(s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27933, 633, 27930])).
% 17.46/12.29 tff(27935,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s348, c_n1) | (~node11(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s348, c_n1) | (~node11(s348)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27936,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s348, c_n1) | (~node11(s348)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27937,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s348, c_n1) | (~node11(s348))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27936, 27935])).
% 17.46/12.29 tff(27938,plain,
% 17.46/12.29 (~node11(s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27937, 238, 27834])).
% 17.46/12.29 tff(27939,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s348, c_c1) | (~node10(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s348, c_c1) | (~node10(s348)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27940,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s348, c_c1) | (~node10(s348)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27941,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s348, c_c1) | (~node10(s348))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27940, 27939])).
% 17.46/12.29 tff(27942,plain,
% 17.46/12.29 (~node10(s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27941, 675, 27867])).
% 17.46/12.29 tff(27943,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s348, c_n1) | (~node9(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s348, c_n1) | (~node9(s348)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27944,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s348, c_n1) | (~node9(s348)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27945,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s348, c_n1) | (~node9(s348))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27944, 27943])).
% 17.46/12.29 tff(27946,plain,
% 17.46/12.29 (~node9(s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27945, 686, 27834])).
% 17.46/12.29 tff(27947,plain,
% 17.46/12.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s348, c_n2) | (~node8(s348)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s348, c_n2) | (~node8(s348)))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27948,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s348, c_n2) | (~node8(s348)))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27949,plain,
% 17.46/12.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s348, c_n2) | (~node8(s348))),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27948, 27947])).
% 17.46/12.29 tff(27950,plain,
% 17.46/12.29 (~node8(s348)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27949, 271, 27899])).
% 17.46/12.29 tff(27951,plain,
% 17.46/12.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s348, s349)) | node14(s348, s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s348, s349)) | node14(s348, s349))),
% 17.46/12.29 inference(rewrite,[status(thm)],[])).
% 17.46/12.29 tff(27952,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s348, s349)) | node14(s348, s349))),
% 17.46/12.29 inference(quant_inst,[status(thm)],[])).
% 17.46/12.29 tff(27953,plain,
% 17.46/12.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s348, s349)) | node14(s348, s349)),
% 17.46/12.29 inference(modus_ponens,[status(thm)],[27952, 27951])).
% 17.46/12.29 tff(27954,plain,
% 17.46/12.29 (node14(s348, s349)),
% 17.46/12.29 inference(unit_resolution,[status(thm)],[27953, 46, 27910])).
% 17.46/12.29 tff(27955,plain,
% 17.46/12.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, 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(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2)))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27956,plain,
% 17.46/12.30 (((~m_main_v_state2(s348, c_c2)) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | m_main_v_state2(s349, c_n2)) <=> (m_main_v_state2(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2)))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27957,plain,
% 17.46/12.30 (((~![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(s348, c_c2)) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | m_main_v_state2(s349, 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(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2))))),
% 17.46/12.30 inference(monotonicity,[status(thm)],[27956])).
% 17.46/12.30 tff(27958,plain,
% 17.46/12.30 (((~![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(s348, c_c2)) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | m_main_v_state2(s349, 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(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2)))),
% 17.46/12.30 inference(transitivity,[status(thm)],[27957, 27955])).
% 17.46/12.30 tff(27959,plain,
% 17.46/12.30 ((~![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(s348, c_c2)) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | m_main_v_state2(s349, c_n2))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(27960,plain,
% 17.46/12.30 ((~![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(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2))),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[27959, 27958])).
% 17.46/12.30 tff(27961,plain,
% 17.46/12.30 (m_main_v_state2(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~m_main_v_state2(s348, c_c2))),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[27960, 726, 27954])).
% 17.46/12.30 tff(27962,plain,
% 17.46/12.30 (m_main_v_state2(s349, c_n2)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[27961, 27950, 27895, 27946, 27942, 27938, 27934])).
% 17.46/12.30 tff(27963,plain,
% 17.46/12.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_t2)))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27964,plain,
% 17.46/12.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_t2)))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(27965,plain,
% 17.46/12.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_t2))),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[27964, 27963])).
% 17.46/12.30 tff(27966,plain,
% 17.46/12.30 (~m_main_v_state2(s349, c_t2)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[27965, 77, 27962])).
% 17.46/12.30 tff(27967,plain,
% 17.46/12.30 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s349, c_t2) | (~node15(s349)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s349, c_t2) | (~node15(s349)))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27968,plain,
% 17.46/12.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s349, c_t2) | (~node15(s349)))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(27969,plain,
% 17.46/12.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s349, c_t2) | (~node15(s349))),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[27968, 27967])).
% 17.46/12.30 tff(27970,plain,
% 17.46/12.30 (~node15(s349)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[27969, 103, 27966])).
% 17.46/12.30 tff(27971,plain,
% 17.46/12.30 (succ(s349, s350) <=> succ(s349, s350)),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27972,axiom,(succ(s349, s350)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound350')).
% 17.46/12.30 tff(27973,plain,
% 17.46/12.30 (succ(s349, s350)),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[27972, 27971])).
% 17.46/12.30 tff(27974,plain,
% 17.46/12.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s349, s350)) | trans(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s349, s350)) | trans(s349, s350))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27975,plain,
% 17.46/12.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s349, s350)) | trans(s349, s350))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(27976,plain,
% 17.46/12.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s349, s350)) | trans(s349, s350)),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[27975, 27974])).
% 17.46/12.30 tff(27977,plain,
% 17.46/12.30 (trans(s349, s350)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[27976, 27973, 32])).
% 17.46/12.30 tff(27978,plain,
% 17.46/12.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s349, s350)) | node18(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s349, s350)) | node18(s349, s350))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27979,plain,
% 17.46/12.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s349, s350)) | node18(s349, s350))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(27980,plain,
% 17.46/12.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s349, s350)) | node18(s349, s350)),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[27979, 27978])).
% 17.46/12.30 tff(27981,plain,
% 17.46/12.30 (node18(s349, s350)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[27980, 125, 27977])).
% 17.46/12.30 tff(27982,plain,
% 17.46/12.30 (((~![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(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27983,plain,
% 17.46/12.30 (((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node15(s349) | (~node18(s349, s350)) | m_main_v_turn(s350, c_1)) <=> (node15(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27984,plain,
% 17.46/12.30 (((~![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(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node15(s349) | (~node18(s349, s350)) | m_main_v_turn(s350, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1)))),
% 17.46/12.30 inference(monotonicity,[status(thm)],[27983])).
% 17.46/12.30 tff(27985,plain,
% 17.46/12.30 (((~![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(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node15(s349) | (~node18(s349, s350)) | m_main_v_turn(s350, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1))),
% 17.46/12.30 inference(transitivity,[status(thm)],[27984, 27982])).
% 17.46/12.30 tff(27986,plain,
% 17.46/12.30 ((~![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(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node15(s349) | (~node18(s349, s350)) | m_main_v_turn(s350, c_1))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(27987,plain,
% 17.46/12.30 ((~![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(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1)),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[27986, 27985])).
% 17.46/12.30 tff(27988,plain,
% 17.46/12.30 (node15(s349) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[27987, 992, 27981])).
% 17.46/12.30 tff(27989,plain,
% 17.46/12.30 (m_main_v_turn(s350, c_1)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[27988, 27970, 27962, 27926])).
% 17.46/12.30 tff(27990,plain,
% 17.46/12.30 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s350, c_1)) | (~m_main_v_turn(s350, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s350, c_1)) | (~m_main_v_turn(s350, c_2)))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27991,plain,
% 17.46/12.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s350, c_1)) | (~m_main_v_turn(s350, c_2)))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(27992,plain,
% 17.46/12.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s350, c_1)) | (~m_main_v_turn(s350, c_2))),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[27991, 27990])).
% 17.46/12.30 tff(27993,plain,
% 17.46/12.30 (~m_main_v_turn(s350, c_2)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[27992, 156, 27989])).
% 17.46/12.30 tff(27994,plain,
% 17.46/12.30 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s350, c_2) | (~node12(s350)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s350, c_2) | (~node12(s350)))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27995,plain,
% 17.46/12.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s350, c_2) | (~node12(s350)))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(27996,plain,
% 17.46/12.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s350, c_2) | (~node12(s350))),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[27995, 27994])).
% 17.46/12.30 tff(27997,plain,
% 17.46/12.30 (~node12(s350)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[27996, 184, 27993])).
% 17.46/12.30 tff(27998,plain,
% 17.46/12.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s349, s350)) | node14(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s349, s350)) | node14(s349, s350))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(27999,plain,
% 17.46/12.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s349, s350)) | node14(s349, s350))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(28000,plain,
% 17.46/12.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s349, s350)) | node14(s349, s350)),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[27999, 27998])).
% 17.46/12.30 tff(28001,plain,
% 17.46/12.30 (node14(s349, s350)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[28000, 46, 27977])).
% 17.46/12.30 tff(28002,plain,
% 17.46/12.30 (((~![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(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | (~node14(s349, s350)) | m_main_v_state2(s350, 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(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | (~node14(s349, s350)) | m_main_v_state2(s350, c_t2))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(28003,plain,
% 17.46/12.30 ((~![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(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | (~node14(s349, s350)) | m_main_v_state2(s350, c_t2))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(28004,plain,
% 17.46/12.30 ((~![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(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | (~node14(s349, s350)) | m_main_v_state2(s350, c_t2)),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[28003, 28002])).
% 17.46/12.30 tff(28005,plain,
% 17.46/12.30 ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state2(s350, c_t2)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[28004, 922, 28001])).
% 17.46/12.30 tff(28006,plain,
% 17.46/12.30 (m_main_v_state2(s350, c_t2)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[28005, 27926, 27962])).
% 17.46/12.30 tff(28007,plain,
% 17.46/12.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s350, c_n2)) | (~m_main_v_state2(s350, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s350, c_n2)) | (~m_main_v_state2(s350, c_t2)))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(28008,plain,
% 17.46/12.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s350, c_n2)) | (~m_main_v_state2(s350, c_t2)))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(28009,plain,
% 17.46/12.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s350, c_n2)) | (~m_main_v_state2(s350, c_t2))),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[28008, 28007])).
% 17.46/12.30 tff(28010,plain,
% 17.46/12.30 (~m_main_v_state2(s350, c_n2)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[28009, 77, 28006])).
% 17.46/12.30 tff(28011,plain,
% 17.46/12.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s350, c_n2) | (~node8(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s350, c_n2) | (~node8(s350)))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(28012,plain,
% 17.46/12.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s350, c_n2) | (~node8(s350)))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(28013,plain,
% 17.46/12.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s350, c_n2) | (~node8(s350))),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[28012, 28011])).
% 17.46/12.30 tff(28014,plain,
% 17.46/12.30 (~node8(s350)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[28013, 271, 28010])).
% 17.46/12.30 tff(28015,plain,
% 17.46/12.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s350, c_n2) | (~node9(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s350, c_n2) | (~node9(s350)))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(28016,plain,
% 17.46/12.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s350, c_n2) | (~node9(s350)))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.46/12.30 tff(28017,plain,
% 17.46/12.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s350, c_n2) | (~node9(s350))),
% 17.46/12.30 inference(modus_ponens,[status(thm)],[28016, 28015])).
% 17.46/12.30 tff(28018,plain,
% 17.46/12.30 (~node9(s350)),
% 17.46/12.30 inference(unit_resolution,[status(thm)],[28017, 88, 28010])).
% 17.46/12.30 tff(28019,plain,
% 17.46/12.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s350, c_n2) | (~node10(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s350, c_n2) | (~node10(s350)))),
% 17.46/12.30 inference(rewrite,[status(thm)],[])).
% 17.46/12.30 tff(28020,plain,
% 17.46/12.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s350, c_n2) | (~node10(s350)))),
% 17.46/12.30 inference(quant_inst,[status(thm)],[])).
% 17.51/12.30 tff(28021,plain,
% 17.51/12.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s350, c_n2) | (~node10(s350))),
% 17.51/12.30 inference(modus_ponens,[status(thm)],[28020, 28019])).
% 17.51/12.30 tff(28022,plain,
% 17.51/12.30 (~node10(s350)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28021, 249, 28010])).
% 17.51/12.30 tff(28023,plain,
% 17.51/12.30 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s350, c_t2)) | (~m_main_v_state2(s350, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s350, c_t2)) | (~m_main_v_state2(s350, c_c2)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28024,plain,
% 17.51/12.30 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s350, c_t2)) | (~m_main_v_state2(s350, c_c2)))),
% 17.51/12.30 inference(quant_inst,[status(thm)],[])).
% 17.51/12.30 tff(28025,plain,
% 17.51/12.30 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s350, c_t2)) | (~m_main_v_state2(s350, c_c2))),
% 17.51/12.30 inference(modus_ponens,[status(thm)],[28024, 28023])).
% 17.51/12.30 tff(28026,plain,
% 17.51/12.30 (~m_main_v_state2(s350, c_c2)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28025, 260, 28006])).
% 17.51/12.30 tff(28027,plain,
% 17.51/12.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_c2)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28028,plain,
% 17.51/12.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_c2)))),
% 17.51/12.30 inference(quant_inst,[status(thm)],[])).
% 17.51/12.30 tff(28029,plain,
% 17.51/12.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_c2))),
% 17.51/12.30 inference(modus_ponens,[status(thm)],[28028, 28027])).
% 17.51/12.30 tff(28030,plain,
% 17.51/12.30 (~m_main_v_state2(s349, c_c2)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28029, 697, 27962])).
% 17.51/12.30 tff(28031,plain,
% 17.51/12.30 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s349, c_c2) | (~node3(s349)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s349, c_c2) | (~node3(s349)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28032,plain,
% 17.51/12.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s349, c_c2) | (~node3(s349)))),
% 17.51/12.30 inference(quant_inst,[status(thm)],[])).
% 17.51/12.30 tff(28033,plain,
% 17.51/12.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s349, c_c2) | (~node3(s349))),
% 17.51/12.30 inference(modus_ponens,[status(thm)],[28032, 28031])).
% 17.51/12.30 tff(28034,plain,
% 17.51/12.30 (~node3(s349)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28033, 399, 28030])).
% 17.51/12.30 tff(28035,plain,
% 17.51/12.30 (((~![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(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28036,plain,
% 17.51/12.30 (((~node6(s348, s349)) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1))) <=> (m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28037,plain,
% 17.51/12.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s348, s349)) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, 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(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349))))),
% 17.51/12.30 inference(monotonicity,[status(thm)],[28036])).
% 17.51/12.30 tff(28038,plain,
% 17.51/12.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s348, s349)) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, 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(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349)))),
% 17.51/12.30 inference(transitivity,[status(thm)],[28037, 28035])).
% 17.51/12.30 tff(28039,plain,
% 17.51/12.30 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s348, s349)) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)))),
% 17.51/12.30 inference(quant_inst,[status(thm)],[])).
% 17.51/12.30 tff(28040,plain,
% 17.51/12.30 ((~![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(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349))),
% 17.51/12.30 inference(modus_ponens,[status(thm)],[28039, 28038])).
% 17.51/12.30 tff(28041,plain,
% 17.51/12.30 (~m_main_v_state1(s349, c_n1)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28040, 835, 27834, 27919])).
% 17.51/12.30 tff(28042,plain,
% 17.51/12.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s349, c_n1) | (~node2(s349)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s349, c_n1) | (~node2(s349)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28043,plain,
% 17.51/12.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s349, c_n1) | (~node2(s349)))),
% 17.51/12.30 inference(quant_inst,[status(thm)],[])).
% 17.51/12.30 tff(28044,plain,
% 17.51/12.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s349, c_n1) | (~node2(s349))),
% 17.51/12.30 inference(modus_ponens,[status(thm)],[28043, 28042])).
% 17.51/12.30 tff(28045,plain,
% 17.51/12.30 (~node2(s349)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28044, 787, 28041])).
% 17.51/12.30 tff(28046,plain,
% 17.51/12.30 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s349, c_t2) | (~node1(s349)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s349, c_t2) | (~node1(s349)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28047,plain,
% 17.51/12.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s349, c_t2) | (~node1(s349)))),
% 17.51/12.30 inference(quant_inst,[status(thm)],[])).
% 17.51/12.30 tff(28048,plain,
% 17.51/12.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s349, c_t2) | (~node1(s349))),
% 17.51/12.30 inference(modus_ponens,[status(thm)],[28047, 28046])).
% 17.51/12.30 tff(28049,plain,
% 17.51/12.30 (~node1(s349)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28048, 195, 27966])).
% 17.51/12.30 tff(28050,plain,
% 17.51/12.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s349, s350)) | node7(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s349, s350)) | node7(s349, s350))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28051,plain,
% 17.51/12.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s349, s350)) | node7(s349, s350))),
% 17.51/12.30 inference(quant_inst,[status(thm)],[])).
% 17.51/12.30 tff(28052,plain,
% 17.51/12.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s349, s350)) | node7(s349, s350)),
% 17.51/12.30 inference(modus_ponens,[status(thm)],[28051, 28050])).
% 17.51/12.30 tff(28053,plain,
% 17.51/12.30 (node7(s349, s350)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28052, 206, 27977])).
% 17.51/12.30 tff(28054,plain,
% 17.51/12.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28055,plain,
% 17.51/12.30 (((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)) | m_main_v_state1(s350, c_c1)) <=> ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28056,plain,
% 17.51/12.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)) | m_main_v_state1(s350, 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(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350))))),
% 17.51/12.30 inference(monotonicity,[status(thm)],[28055])).
% 17.51/12.30 tff(28057,plain,
% 17.51/12.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)) | m_main_v_state1(s350, 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(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)))),
% 17.51/12.30 inference(transitivity,[status(thm)],[28056, 28054])).
% 17.51/12.30 tff(28058,plain,
% 17.51/12.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)) | m_main_v_state1(s350, c_c1))),
% 17.51/12.30 inference(quant_inst,[status(thm)],[])).
% 17.51/12.30 tff(28059,plain,
% 17.51/12.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350))),
% 17.51/12.30 inference(modus_ponens,[status(thm)],[28058, 28057])).
% 17.51/12.30 tff(28060,plain,
% 17.51/12.30 ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28059, 892, 28053])).
% 17.51/12.30 tff(28061,plain,
% 17.51/12.30 (m_main_v_state1(s350, c_c1)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28060, 28049, 27962, 27926, 28045, 28034])).
% 17.51/12.30 tff(28062,plain,
% 17.51/12.30 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s350, c_n1)) | (~m_main_v_state1(s350, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s350, c_n1)) | (~m_main_v_state1(s350, c_c1)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28063,plain,
% 17.51/12.30 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s350, c_n1)) | (~m_main_v_state1(s350, c_c1)))),
% 17.51/12.30 inference(quant_inst,[status(thm)],[])).
% 17.51/12.30 tff(28064,plain,
% 17.51/12.30 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s350, c_n1)) | (~m_main_v_state1(s350, c_c1))),
% 17.51/12.30 inference(modus_ponens,[status(thm)],[28063, 28062])).
% 17.51/12.30 tff(28065,plain,
% 17.51/12.30 (~m_main_v_state1(s350, c_n1)),
% 17.51/12.30 inference(unit_resolution,[status(thm)],[28064, 454, 28061])).
% 17.51/12.30 tff(28066,plain,
% 17.51/12.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s350, c_n1) | (~node11(s350)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s350, c_n1) | (~node11(s350)))),
% 17.51/12.30 inference(rewrite,[status(thm)],[])).
% 17.51/12.30 tff(28067,plain,
% 17.51/12.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s350, c_n1) | (~node11(s350)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28068,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s350, c_n1) | (~node11(s350))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28067, 28066])).
% 17.51/12.31 tff(28069,plain,
% 17.51/12.31 (~node11(s350)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28068, 238, 28065])).
% 17.51/12.31 tff(28070,plain,
% 17.51/12.31 (succ(s350, s351) <=> succ(s350, s351)),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28071,axiom,(succ(s350, s351)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound351')).
% 17.51/12.31 tff(28072,plain,
% 17.51/12.31 (succ(s350, s351)),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28071, 28070])).
% 17.51/12.31 tff(28073,plain,
% 17.51/12.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s350, s351)) | trans(s350, s351))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s350, s351)) | trans(s350, s351))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28074,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s350, s351)) | trans(s350, s351))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28075,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s350, s351)) | trans(s350, s351)),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28074, 28073])).
% 17.51/12.31 tff(28076,plain,
% 17.51/12.31 (trans(s350, s351)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28075, 28072, 32])).
% 17.51/12.31 tff(28077,plain,
% 17.51/12.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s350, s351)) | node14(s350, s351))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s350, s351)) | node14(s350, s351))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28078,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s350, s351)) | node14(s350, s351))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28079,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s350, s351)) | node14(s350, s351)),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28078, 28077])).
% 17.51/12.31 tff(28080,plain,
% 17.51/12.31 (node14(s350, s351)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28079, 46, 28076])).
% 17.51/12.31 tff(28081,plain,
% 17.51/12.31 (((~![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(s350, c_c2) | node9(s350) | node8(s350) | node10(s350) | node11(s350) | node12(s350) | node13(s350, s351) | (~node14(s350, s351)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s350, c_c2) | node9(s350) | node8(s350) | node10(s350) | node11(s350) | node12(s350) | node13(s350, s351) | (~node14(s350, s351)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28082,plain,
% 17.51/12.31 ((~![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(s350, c_c2) | node9(s350) | node8(s350) | node10(s350) | node11(s350) | node12(s350) | node13(s350, s351) | (~node14(s350, s351)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28083,plain,
% 17.51/12.31 ((~![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(s350, c_c2) | node9(s350) | node8(s350) | node10(s350) | node11(s350) | node12(s350) | node13(s350, s351) | (~node14(s350, s351))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28082, 28081])).
% 17.51/12.31 tff(28084,plain,
% 17.51/12.31 (m_main_v_state2(s350, c_c2) | node9(s350) | node8(s350) | node10(s350) | node11(s350) | node12(s350) | node13(s350, s351)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28083, 296, 28080])).
% 17.51/12.31 tff(28085,plain,
% 17.51/12.31 (node13(s350, s351)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28084, 28069, 28026, 28022, 28018, 28014, 27997])).
% 17.51/12.31 tff(28086,plain,
% 17.51/12.31 (((~![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(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28087,plain,
% 17.51/12.31 (((~node13(s350, s351)) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2))) <=> (m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28088,plain,
% 17.51/12.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s350, s351)) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, 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(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351))))),
% 17.51/12.31 inference(monotonicity,[status(thm)],[28087])).
% 17.51/12.31 tff(28089,plain,
% 17.51/12.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s350, s351)) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, 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(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351)))),
% 17.51/12.31 inference(transitivity,[status(thm)],[28088, 28086])).
% 17.51/12.31 tff(28090,plain,
% 17.51/12.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s350, s351)) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28091,plain,
% 17.51/12.31 ((~![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(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28090, 28089])).
% 17.51/12.31 tff(28092,plain,
% 17.51/12.31 (~m_main_v_state2(s351, c_n2)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28091, 311, 28010, 28085])).
% 17.51/12.31 tff(28093,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s351, c_n2) | (~node9(s351)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s351, c_n2) | (~node9(s351)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28094,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s351, c_n2) | (~node9(s351)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28095,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s351, c_n2) | (~node9(s351))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28094, 28093])).
% 17.51/12.31 tff(28096,plain,
% 17.51/12.31 (~node9(s351)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28095, 88, 28092])).
% 17.51/12.31 tff(28097,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s351, c_n2) | (~node10(s351)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s351, c_n2) | (~node10(s351)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28098,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s351, c_n2) | (~node10(s351)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28099,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s351, c_n2) | (~node10(s351))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28098, 28097])).
% 17.51/12.31 tff(28100,plain,
% 17.51/12.31 (~node10(s351)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28099, 249, 28092])).
% 17.51/12.31 tff(28101,plain,
% 17.51/12.31 (((~![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(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28102,plain,
% 17.51/12.31 (((~node13(s350, s351)) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2)) <=> ((~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28103,plain,
% 17.51/12.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s350, s351)) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, 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(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351))))),
% 17.51/12.31 inference(monotonicity,[status(thm)],[28102])).
% 17.51/12.31 tff(28104,plain,
% 17.51/12.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s350, s351)) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, 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(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351)))),
% 17.51/12.31 inference(transitivity,[status(thm)],[28103, 28101])).
% 17.51/12.31 tff(28105,plain,
% 17.51/12.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s350, s351)) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28106,plain,
% 17.51/12.31 ((~![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(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28105, 28104])).
% 17.51/12.31 tff(28107,plain,
% 17.51/12.31 (m_main_v_state2(s351, c_t2)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28106, 518, 28006, 28085])).
% 17.51/12.31 tff(28108,plain,
% 17.51/12.31 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s350, c_t1)) | (~m_main_v_state1(s350, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s350, c_t1)) | (~m_main_v_state1(s350, c_c1)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28109,plain,
% 17.51/12.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s350, c_t1)) | (~m_main_v_state1(s350, c_c1)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28110,plain,
% 17.51/12.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s350, c_t1)) | (~m_main_v_state1(s350, c_c1))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28109, 28108])).
% 17.51/12.31 tff(28111,plain,
% 17.51/12.31 (~m_main_v_state1(s350, c_t1)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28110, 539, 28061])).
% 17.51/12.31 tff(28112,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s350, c_t1) | (~node5(s350)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s350, c_t1) | (~node5(s350)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28113,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s350, c_t1) | (~node5(s350)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28114,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s350, c_t1) | (~node5(s350))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28113, 28112])).
% 17.51/12.31 tff(28115,plain,
% 17.51/12.31 (~node5(s350)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28114, 550, 28111])).
% 17.51/12.31 tff(28116,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s350, c_n2) | (~node4(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s350, c_n2) | (~node4(s350)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28117,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s350, c_n2) | (~node4(s350)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28118,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s350, c_n2) | (~node4(s350))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28117, 28116])).
% 17.51/12.31 tff(28119,plain,
% 17.51/12.31 (~node4(s350)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28118, 388, 28010])).
% 17.51/12.31 tff(28120,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s350, c_c2) | (~node3(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s350, c_c2) | (~node3(s350)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28121,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s350, c_c2) | (~node3(s350)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28122,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s350, c_c2) | (~node3(s350))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28121, 28120])).
% 17.51/12.31 tff(28123,plain,
% 17.51/12.31 (~node3(s350)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28122, 399, 28026])).
% 17.51/12.31 tff(28124,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s350, c_n2) | (~node2(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s350, c_n2) | (~node2(s350)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28125,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s350, c_n2) | (~node2(s350)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28126,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s350, c_n2) | (~node2(s350))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28125, 28124])).
% 17.51/12.31 tff(28127,plain,
% 17.51/12.31 (~node2(s350)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28126, 410, 28010])).
% 17.51/12.31 tff(28128,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s350, c_n1) | (~node1(s350)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s350, c_n1) | (~node1(s350)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28129,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s350, c_n1) | (~node1(s350)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28130,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s350, c_n1) | (~node1(s350))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28129, 28128])).
% 17.51/12.31 tff(28131,plain,
% 17.51/12.31 (~node1(s350)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28130, 421, 28065])).
% 17.51/12.31 tff(28132,plain,
% 17.51/12.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s350, s351)) | node7(s350, s351))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s350, s351)) | node7(s350, s351))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28133,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s350, s351)) | node7(s350, s351))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28134,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s350, s351)) | node7(s350, s351)),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28133, 28132])).
% 17.51/12.31 tff(28135,plain,
% 17.51/12.31 (node7(s350, s351)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28134, 206, 28076])).
% 17.51/12.31 tff(28136,plain,
% 17.51/12.31 (((~![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(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28137,plain,
% 17.51/12.31 (((~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)) | m_main_v_state1(s351, c_n1)) <=> (m_main_v_state1(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28138,plain,
% 17.51/12.31 (((~![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(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)) | m_main_v_state1(s351, 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(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351))))),
% 17.51/12.31 inference(monotonicity,[status(thm)],[28137])).
% 17.51/12.31 tff(28139,plain,
% 17.51/12.31 (((~![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(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)) | m_main_v_state1(s351, 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(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)))),
% 17.51/12.31 inference(transitivity,[status(thm)],[28138, 28136])).
% 17.51/12.31 tff(28140,plain,
% 17.51/12.31 ((~![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(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)) | m_main_v_state1(s351, c_n1))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28141,plain,
% 17.51/12.31 ((~![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(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28140, 28139])).
% 17.51/12.31 tff(28142,plain,
% 17.51/12.31 (m_main_v_state1(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28141, 584, 28135])).
% 17.51/12.31 tff(28143,plain,
% 17.51/12.31 (m_main_v_state1(s351, c_n1)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28142, 28131, 28061, 28127, 28123, 28119, 28115])).
% 17.51/12.31 tff(28144,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s351, c_n2) | (~node8(s351)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s351, c_n2) | (~node8(s351)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28145,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s351, c_n2) | (~node8(s351)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28146,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s351, c_n2) | (~node8(s351))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28145, 28144])).
% 17.51/12.31 tff(28147,plain,
% 17.51/12.31 (~node8(s351)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28146, 271, 28092])).
% 17.51/12.31 tff(28148,plain,
% 17.51/12.31 (succ(s351, s352) <=> succ(s351, s352)),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28149,axiom,(succ(s351, s352)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound352')).
% 17.51/12.31 tff(28150,plain,
% 17.51/12.31 (succ(s351, s352)),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28149, 28148])).
% 17.51/12.31 tff(28151,plain,
% 17.51/12.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s351, s352)) | trans(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s351, s352)) | trans(s351, s352))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28152,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s351, s352)) | trans(s351, s352))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28153,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s351, s352)) | trans(s351, s352)),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28152, 28151])).
% 17.51/12.31 tff(28154,plain,
% 17.51/12.31 (trans(s351, s352)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28153, 28150, 32])).
% 17.51/12.31 tff(28155,plain,
% 17.51/12.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s351, s352)) | node14(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s351, s352)) | node14(s351, s352))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28156,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s351, s352)) | node14(s351, s352))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28157,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s351, s352)) | node14(s351, s352)),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28156, 28155])).
% 17.51/12.31 tff(28158,plain,
% 17.51/12.31 (node14(s351, s352)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28157, 46, 28154])).
% 17.51/12.31 tff(28159,plain,
% 17.51/12.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | node9(s351) | node8(s351) | node10(s351) | (~node14(s351, s352)) | m_main_v_state2(s352, 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(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | node9(s351) | node8(s351) | node10(s351) | (~node14(s351, s352)) | m_main_v_state2(s352, c_c2))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28160,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | node9(s351) | node8(s351) | node10(s351) | (~node14(s351, s352)) | m_main_v_state2(s352, c_c2))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28161,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | node9(s351) | node8(s351) | node10(s351) | (~node14(s351, s352)) | m_main_v_state2(s352, c_c2)),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28160, 28159])).
% 17.51/12.31 tff(28162,plain,
% 17.51/12.31 ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | node9(s351) | node8(s351) | node10(s351) | m_main_v_state2(s352, c_c2)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28161, 617, 28158])).
% 17.51/12.31 tff(28163,plain,
% 17.51/12.31 (m_main_v_state2(s352, c_c2)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28162, 28147, 28143, 28107, 28100, 28096])).
% 17.51/12.31 tff(28164,plain,
% 17.51/12.31 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s352, c_t2)) | (~m_main_v_state2(s352, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s352, c_t2)) | (~m_main_v_state2(s352, c_c2)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28165,plain,
% 17.51/12.31 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s352, c_t2)) | (~m_main_v_state2(s352, c_c2)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28166,plain,
% 17.51/12.31 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s352, c_t2)) | (~m_main_v_state2(s352, c_c2))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28165, 28164])).
% 17.51/12.31 tff(28167,plain,
% 17.51/12.31 (~m_main_v_state2(s352, c_t2)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28166, 260, 28163])).
% 17.51/12.31 tff(28168,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s352, c_t2) | (~node12(s352)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s352, c_t2) | (~node12(s352)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28169,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s352, c_t2) | (~node12(s352)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28170,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s352, c_t2) | (~node12(s352))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28169, 28168])).
% 17.51/12.31 tff(28171,plain,
% 17.51/12.31 (~node12(s352)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28170, 633, 28167])).
% 17.51/12.31 tff(28172,plain,
% 17.51/12.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s351, s352)) | node7(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s351, s352)) | node7(s351, s352))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28173,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s351, s352)) | node7(s351, s352))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28174,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s351, s352)) | node7(s351, s352)),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28173, 28172])).
% 17.51/12.31 tff(28175,plain,
% 17.51/12.31 (node7(s351, s352)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28174, 206, 28154])).
% 17.51/12.31 tff(28176,plain,
% 17.51/12.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node7(s351, s352)) | m_main_v_state1(s352, 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(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node7(s351, s352)) | m_main_v_state1(s352, c_t1))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28177,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node7(s351, s352)) | m_main_v_state1(s352, c_t1))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28178,plain,
% 17.51/12.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node7(s351, s352)) | m_main_v_state1(s352, c_t1)),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28177, 28176])).
% 17.51/12.31 tff(28179,plain,
% 17.51/12.31 ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | m_main_v_state1(s352, c_t1)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28178, 651, 28175])).
% 17.51/12.31 tff(28180,plain,
% 17.51/12.31 (m_main_v_state1(s352, c_t1)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28179, 28107, 28143])).
% 17.51/12.31 tff(28181,plain,
% 17.51/12.31 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s352, c_n1)) | (~m_main_v_state1(s352, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s352, c_n1)) | (~m_main_v_state1(s352, c_t1)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28182,plain,
% 17.51/12.31 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s352, c_n1)) | (~m_main_v_state1(s352, c_t1)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28183,plain,
% 17.51/12.31 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s352, c_n1)) | (~m_main_v_state1(s352, c_t1))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28182, 28181])).
% 17.51/12.31 tff(28184,plain,
% 17.51/12.31 (~m_main_v_state1(s352, c_n1)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28183, 10, 28180])).
% 17.51/12.31 tff(28185,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s352, c_n1) | (~node11(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s352, c_n1) | (~node11(s352)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28186,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s352, c_n1) | (~node11(s352)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28187,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s352, c_n1) | (~node11(s352))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28186, 28185])).
% 17.51/12.31 tff(28188,plain,
% 17.51/12.31 (~node11(s352)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28187, 238, 28184])).
% 17.51/12.31 tff(28189,plain,
% 17.51/12.31 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s352, c_t1)) | (~m_main_v_state1(s352, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s352, c_t1)) | (~m_main_v_state1(s352, c_c1)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28190,plain,
% 17.51/12.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s352, c_t1)) | (~m_main_v_state1(s352, c_c1)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28191,plain,
% 17.51/12.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s352, c_t1)) | (~m_main_v_state1(s352, c_c1))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28190, 28189])).
% 17.51/12.31 tff(28192,plain,
% 17.51/12.31 (~m_main_v_state1(s352, c_c1)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28191, 539, 28180])).
% 17.51/12.31 tff(28193,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s352, c_c1) | (~node10(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s352, c_c1) | (~node10(s352)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28194,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s352, c_c1) | (~node10(s352)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28195,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s352, c_c1) | (~node10(s352))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28194, 28193])).
% 17.51/12.31 tff(28196,plain,
% 17.51/12.31 (~node10(s352)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28195, 675, 28192])).
% 17.51/12.31 tff(28197,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s352, c_n1) | (~node9(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s352, c_n1) | (~node9(s352)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28198,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s352, c_n1) | (~node9(s352)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28199,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s352, c_n1) | (~node9(s352))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 17.51/12.31 tff(28200,plain,
% 17.51/12.31 (~node9(s352)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28199, 686, 28184])).
% 17.51/12.31 tff(28201,plain,
% 17.51/12.31 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s352, c_n2)) | (~m_main_v_state2(s352, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s352, c_n2)) | (~m_main_v_state2(s352, c_c2)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28202,plain,
% 17.51/12.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s352, c_n2)) | (~m_main_v_state2(s352, c_c2)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28203,plain,
% 17.51/12.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s352, c_n2)) | (~m_main_v_state2(s352, c_c2))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28202, 28201])).
% 17.51/12.31 tff(28204,plain,
% 17.51/12.31 (~m_main_v_state2(s352, c_n2)),
% 17.51/12.31 inference(unit_resolution,[status(thm)],[28203, 697, 28163])).
% 17.51/12.31 tff(28205,plain,
% 17.51/12.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s352, c_n2) | (~node8(s352)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s352, c_n2) | (~node8(s352)))),
% 17.51/12.31 inference(rewrite,[status(thm)],[])).
% 17.51/12.31 tff(28206,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s352, c_n2) | (~node8(s352)))),
% 17.51/12.31 inference(quant_inst,[status(thm)],[])).
% 17.51/12.31 tff(28207,plain,
% 17.51/12.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s352, c_n2) | (~node8(s352))),
% 17.51/12.31 inference(modus_ponens,[status(thm)],[28206, 28205])).
% 17.51/12.31 tff(28208,plain,
% 17.51/12.31 (~node8(s352)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28207, 271, 28204])).
% 17.51/12.32 tff(28209,plain,
% 17.51/12.32 (succ(s352, s353) <=> succ(s352, s353)),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28210,axiom,(succ(s352, s353)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound353')).
% 17.51/12.32 tff(28211,plain,
% 17.51/12.32 (succ(s352, s353)),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28210, 28209])).
% 17.51/12.32 tff(28212,plain,
% 17.51/12.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s352, s353)) | trans(s352, s353))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s352, s353)) | trans(s352, s353))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28213,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s352, s353)) | trans(s352, s353))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28214,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s352, s353)) | trans(s352, s353)),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28213, 28212])).
% 17.51/12.32 tff(28215,plain,
% 17.51/12.32 (trans(s352, s353)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28214, 28211, 32])).
% 17.51/12.32 tff(28216,plain,
% 17.51/12.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s352, s353)) | node14(s352, s353))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s352, s353)) | node14(s352, s353))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28217,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s352, s353)) | node14(s352, s353))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28218,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s352, s353)) | node14(s352, s353)),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28217, 28216])).
% 17.51/12.32 tff(28219,plain,
% 17.51/12.32 (node14(s352, s353)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28218, 46, 28215])).
% 17.51/12.32 tff(28220,plain,
% 17.51/12.32 (((~![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(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, 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(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28221,plain,
% 17.51/12.32 (((~m_main_v_state2(s352, c_c2)) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | m_main_v_state2(s353, c_n2)) <=> (m_main_v_state2(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28222,plain,
% 17.51/12.32 (((~![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(s352, c_c2)) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | m_main_v_state2(s353, 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(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2))))),
% 17.51/12.32 inference(monotonicity,[status(thm)],[28221])).
% 17.51/12.32 tff(28223,plain,
% 17.51/12.32 (((~![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(s352, c_c2)) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | m_main_v_state2(s353, 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(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2)))),
% 17.51/12.32 inference(transitivity,[status(thm)],[28222, 28220])).
% 17.51/12.32 tff(28224,plain,
% 17.51/12.32 ((~![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(s352, c_c2)) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | m_main_v_state2(s353, c_n2))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28225,plain,
% 17.51/12.32 ((~![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(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28224, 28223])).
% 17.51/12.32 tff(28226,plain,
% 17.51/12.32 (m_main_v_state2(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~m_main_v_state2(s352, c_c2))),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28225, 726, 28219])).
% 17.51/12.32 tff(28227,plain,
% 17.51/12.32 (m_main_v_state2(s353, c_n2)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28226, 28208, 28163, 28200, 28196, 28188, 28171])).
% 17.51/12.32 tff(28228,plain,
% 17.51/12.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_c2)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28229,plain,
% 17.51/12.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_c2)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28230,plain,
% 17.51/12.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_c2))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28229, 28228])).
% 17.51/12.32 tff(28231,plain,
% 17.51/12.32 (~m_main_v_state2(s353, c_c2)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28230, 697, 28227])).
% 17.51/12.32 tff(28232,plain,
% 17.51/12.32 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s353, c_c2) | (~node3(s353)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s353, c_c2) | (~node3(s353)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28233,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s353, c_c2) | (~node3(s353)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28234,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s353, c_c2) | (~node3(s353))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28233, 28232])).
% 17.51/12.32 tff(28235,plain,
% 17.51/12.32 (~node3(s353)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28234, 399, 28231])).
% 17.51/12.32 tff(28236,plain,
% 17.51/12.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s352, c_n1) | (~node1(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s352, c_n1) | (~node1(s352)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28237,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s352, c_n1) | (~node1(s352)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28238,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s352, c_n1) | (~node1(s352))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28237, 28236])).
% 17.51/12.32 tff(28239,plain,
% 17.51/12.32 (~node1(s352)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28238, 421, 28184])).
% 17.51/12.32 tff(28240,plain,
% 17.51/12.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s351, s352)) | node18(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s351, s352)) | node18(s351, s352))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28241,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s351, s352)) | node18(s351, s352))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28242,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s351, s352)) | node18(s351, s352)),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28241, 28240])).
% 17.51/12.32 tff(28243,plain,
% 17.51/12.32 (node18(s351, s352)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28242, 125, 28154])).
% 17.51/12.32 tff(28244,plain,
% 17.51/12.32 (((~![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(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node18(s351, s352)) | m_main_v_turn(s352, 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(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node18(s351, s352)) | m_main_v_turn(s352, c_2))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28245,plain,
% 17.51/12.32 ((~![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(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node18(s351, s352)) | m_main_v_turn(s352, c_2))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28246,plain,
% 17.51/12.32 ((~![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(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node18(s351, s352)) | m_main_v_turn(s352, c_2)),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28245, 28244])).
% 17.51/12.32 tff(28247,plain,
% 17.51/12.32 ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | m_main_v_turn(s352, c_2)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28246, 760, 28243])).
% 17.51/12.32 tff(28248,plain,
% 17.51/12.32 (m_main_v_turn(s352, c_2)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28247, 28107, 28143])).
% 17.51/12.32 tff(28249,plain,
% 17.51/12.32 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s352, c_1)) | (~m_main_v_turn(s352, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s352, c_1)) | (~m_main_v_turn(s352, c_2)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28250,plain,
% 17.51/12.32 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s352, c_1)) | (~m_main_v_turn(s352, c_2)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28251,plain,
% 17.51/12.32 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s352, c_1)) | (~m_main_v_turn(s352, c_2))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28250, 28249])).
% 17.51/12.32 tff(28252,plain,
% 17.51/12.32 (~m_main_v_turn(s352, c_1)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28251, 156, 28248])).
% 17.51/12.32 tff(28253,plain,
% 17.51/12.32 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s352, c_1) | (~node5(s352)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s352, c_1) | (~node5(s352)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28254,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s352, c_1) | (~node5(s352)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28255,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s352, c_1) | (~node5(s352))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28254, 28253])).
% 17.51/12.32 tff(28256,plain,
% 17.51/12.32 (~node5(s352)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28255, 776, 28252])).
% 17.51/12.32 tff(28257,plain,
% 17.51/12.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s352, c_n1) | (~node2(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s352, c_n1) | (~node2(s352)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28258,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s352, c_n1) | (~node2(s352)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28259,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s352, c_n1) | (~node2(s352))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28258, 28257])).
% 17.51/12.32 tff(28260,plain,
% 17.51/12.32 (~node2(s352)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28259, 787, 28184])).
% 17.51/12.32 tff(28261,plain,
% 17.51/12.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s352, c_n1) | (~node3(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s352, c_n1) | (~node3(s352)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28262,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s352, c_n1) | (~node3(s352)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28263,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s352, c_n1) | (~node3(s352))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28262, 28261])).
% 17.51/12.32 tff(28264,plain,
% 17.51/12.32 (~node3(s352)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28263, 798, 28184])).
% 17.51/12.32 tff(28265,plain,
% 17.51/12.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s352, c_n2) | (~node4(s352)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s352, c_n2) | (~node4(s352)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28266,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s352, c_n2) | (~node4(s352)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28267,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s352, c_n2) | (~node4(s352))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28266, 28265])).
% 17.51/12.32 tff(28268,plain,
% 17.51/12.32 (~node4(s352)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28267, 388, 28204])).
% 17.51/12.32 tff(28269,plain,
% 17.51/12.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s352, s353)) | node7(s352, s353))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s352, s353)) | node7(s352, s353))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28270,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s352, s353)) | node7(s352, s353))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28271,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s352, s353)) | node7(s352, s353)),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28270, 28269])).
% 17.51/12.32 tff(28272,plain,
% 17.51/12.32 (node7(s352, s353)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28271, 206, 28215])).
% 17.51/12.32 tff(28273,plain,
% 17.51/12.32 (((~![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(s352, c_c1) | node1(s352) | node2(s352) | node3(s352) | node4(s352) | node5(s352) | node6(s352, s353) | (~node7(s352, s353)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s352, c_c1) | node1(s352) | node2(s352) | node3(s352) | node4(s352) | node5(s352) | node6(s352, s353) | (~node7(s352, s353)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28274,plain,
% 17.51/12.32 ((~![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(s352, c_c1) | node1(s352) | node2(s352) | node3(s352) | node4(s352) | node5(s352) | node6(s352, s353) | (~node7(s352, s353)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28275,plain,
% 17.51/12.32 ((~![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(s352, c_c1) | node1(s352) | node2(s352) | node3(s352) | node4(s352) | node5(s352) | node6(s352, s353) | (~node7(s352, s353))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28274, 28273])).
% 17.51/12.32 tff(28276,plain,
% 17.51/12.32 (m_main_v_state1(s352, c_c1) | node1(s352) | node2(s352) | node3(s352) | node4(s352) | node5(s352) | node6(s352, s353)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28275, 820, 28272])).
% 17.51/12.32 tff(28277,plain,
% 17.51/12.32 (node6(s352, s353)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28276, 28268, 28192, 28264, 28260, 28256, 28239])).
% 17.51/12.32 tff(28278,plain,
% 17.51/12.32 (((~![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(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28279,plain,
% 17.51/12.32 (((~node6(s352, s353)) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1))) <=> (m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28280,plain,
% 17.51/12.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s352, s353)) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, 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(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353))))),
% 17.51/12.32 inference(monotonicity,[status(thm)],[28279])).
% 17.51/12.32 tff(28281,plain,
% 17.51/12.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s352, s353)) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, 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(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353)))),
% 17.51/12.32 inference(transitivity,[status(thm)],[28280, 28278])).
% 17.51/12.32 tff(28282,plain,
% 17.51/12.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s352, s353)) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28283,plain,
% 17.51/12.32 ((~![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(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28282, 28281])).
% 17.51/12.32 tff(28284,plain,
% 17.51/12.32 (~m_main_v_state1(s353, c_n1)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28283, 835, 28184, 28277])).
% 17.51/12.32 tff(28285,plain,
% 17.51/12.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s353, c_n1) | (~node2(s353)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s353, c_n1) | (~node2(s353)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28286,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s353, c_n1) | (~node2(s353)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28287,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s353, c_n1) | (~node2(s353))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28286, 28285])).
% 17.51/12.32 tff(28288,plain,
% 17.51/12.32 (~node2(s353)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28287, 787, 28284])).
% 17.51/12.32 tff(28289,plain,
% 17.51/12.32 (((~![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(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28290,plain,
% 17.51/12.32 (((~node6(s352, s353)) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1)) <=> ((~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28291,plain,
% 17.51/12.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s352, s353)) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, 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(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353))))),
% 17.51/12.32 inference(monotonicity,[status(thm)],[28290])).
% 17.51/12.32 tff(28292,plain,
% 17.51/12.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s352, s353)) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, 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(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353)))),
% 17.51/12.32 inference(transitivity,[status(thm)],[28291, 28289])).
% 17.51/12.32 tff(28293,plain,
% 17.51/12.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s352, s353)) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28294,plain,
% 17.51/12.32 ((~![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(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28293, 28292])).
% 17.51/12.32 tff(28295,plain,
% 17.51/12.32 (m_main_v_state1(s353, c_t1)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28294, 856, 28180, 28277])).
% 17.51/12.32 tff(28296,plain,
% 17.51/12.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_t2)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28297,plain,
% 17.51/12.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_t2)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28298,plain,
% 17.51/12.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_t2))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28297, 28296])).
% 17.51/12.32 tff(28299,plain,
% 17.51/12.32 (~m_main_v_state2(s353, c_t2)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28298, 77, 28227])).
% 17.51/12.32 tff(28300,plain,
% 17.51/12.32 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s353, c_t2) | (~node1(s353)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s353, c_t2) | (~node1(s353)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28301,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s353, c_t2) | (~node1(s353)))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28302,plain,
% 17.51/12.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s353, c_t2) | (~node1(s353))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28301, 28300])).
% 17.51/12.32 tff(28303,plain,
% 17.51/12.32 (~node1(s353)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28302, 195, 28299])).
% 17.51/12.32 tff(28304,plain,
% 17.51/12.32 (succ(s353, s354) <=> succ(s353, s354)),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28305,axiom,(succ(s353, s354)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound354')).
% 17.51/12.32 tff(28306,plain,
% 17.51/12.32 (succ(s353, s354)),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28305, 28304])).
% 17.51/12.32 tff(28307,plain,
% 17.51/12.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s353, s354)) | trans(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s353, s354)) | trans(s353, s354))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28308,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s353, s354)) | trans(s353, s354))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28309,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s353, s354)) | trans(s353, s354)),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28308, 28307])).
% 17.51/12.32 tff(28310,plain,
% 17.51/12.32 (trans(s353, s354)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28309, 28306, 32])).
% 17.51/12.32 tff(28311,plain,
% 17.51/12.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s353, s354)) | node7(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s353, s354)) | node7(s353, s354))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28312,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s353, s354)) | node7(s353, s354))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28313,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s353, s354)) | node7(s353, s354)),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28312, 28311])).
% 17.51/12.32 tff(28314,plain,
% 17.51/12.32 (node7(s353, s354)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28313, 206, 28310])).
% 17.51/12.32 tff(28315,plain,
% 17.51/12.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28316,plain,
% 17.51/12.32 (((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)) | m_main_v_state1(s354, c_c1)) <=> ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)))),
% 17.51/12.32 inference(rewrite,[status(thm)],[])).
% 17.51/12.32 tff(28317,plain,
% 17.51/12.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)) | m_main_v_state1(s354, 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(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354))))),
% 17.51/12.32 inference(monotonicity,[status(thm)],[28316])).
% 17.51/12.32 tff(28318,plain,
% 17.51/12.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)) | m_main_v_state1(s354, 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(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)))),
% 17.51/12.32 inference(transitivity,[status(thm)],[28317, 28315])).
% 17.51/12.32 tff(28319,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)) | m_main_v_state1(s354, c_c1))),
% 17.51/12.32 inference(quant_inst,[status(thm)],[])).
% 17.51/12.32 tff(28320,plain,
% 17.51/12.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354))),
% 17.51/12.32 inference(modus_ponens,[status(thm)],[28319, 28318])).
% 17.51/12.32 tff(28321,plain,
% 17.51/12.32 ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28320, 892, 28314])).
% 17.51/12.32 tff(28322,plain,
% 17.51/12.32 (m_main_v_state1(s354, c_c1)),
% 17.51/12.32 inference(unit_resolution,[status(thm)],[28321, 28303, 28227, 28295, 28288, 28235])).
% 17.51/12.32 tff(28323,plain,
% 17.51/12.33 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s354, c_t1)) | (~m_main_v_state1(s354, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s354, c_t1)) | (~m_main_v_state1(s354, c_c1)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28324,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s354, c_t1)) | (~m_main_v_state1(s354, c_c1)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28325,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s354, c_t1)) | (~m_main_v_state1(s354, c_c1))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28324, 28323])).
% 17.51/12.33 tff(28326,plain,
% 17.51/12.33 (~m_main_v_state1(s354, c_t1)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28325, 539, 28322])).
% 17.51/12.33 tff(28327,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s354, c_t1) | (~node5(s354)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s354, c_t1) | (~node5(s354)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28328,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s354, c_t1) | (~node5(s354)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28329,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s354, c_t1) | (~node5(s354))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28328, 28327])).
% 17.51/12.33 tff(28330,plain,
% 17.51/12.33 (~node5(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28329, 550, 28326])).
% 17.51/12.33 tff(28331,plain,
% 17.51/12.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s353, s354)) | node14(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s353, s354)) | node14(s353, s354))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28332,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s353, s354)) | node14(s353, s354))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28333,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s353, s354)) | node14(s353, s354)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28332, 28331])).
% 17.51/12.33 tff(28334,plain,
% 17.51/12.33 (node14(s353, s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28333, 46, 28310])).
% 17.51/12.33 tff(28335,plain,
% 17.51/12.33 (((~![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(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | (~node14(s353, s354)) | m_main_v_state2(s354, 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(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | (~node14(s353, s354)) | m_main_v_state2(s354, c_t2))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28336,plain,
% 17.51/12.33 ((~![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(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | (~node14(s353, s354)) | m_main_v_state2(s354, c_t2))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28337,plain,
% 17.51/12.33 ((~![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(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | (~node14(s353, s354)) | m_main_v_state2(s354, c_t2)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28336, 28335])).
% 17.51/12.33 tff(28338,plain,
% 17.51/12.33 ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state2(s354, c_t2)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28337, 922, 28334])).
% 17.51/12.33 tff(28339,plain,
% 17.51/12.33 (m_main_v_state2(s354, c_t2)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28338, 28295, 28227])).
% 17.51/12.33 tff(28340,plain,
% 17.51/12.33 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s354, c_n2)) | (~m_main_v_state2(s354, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s354, c_n2)) | (~m_main_v_state2(s354, c_t2)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28341,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s354, c_n2)) | (~m_main_v_state2(s354, c_t2)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28342,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s354, c_n2)) | (~m_main_v_state2(s354, c_t2))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28341, 28340])).
% 17.51/12.33 tff(28343,plain,
% 17.51/12.33 (~m_main_v_state2(s354, c_n2)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28342, 77, 28339])).
% 17.51/12.33 tff(28344,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s354, c_n2) | (~node4(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s354, c_n2) | (~node4(s354)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28345,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s354, c_n2) | (~node4(s354)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28346,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s354, c_n2) | (~node4(s354))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28345, 28344])).
% 17.51/12.33 tff(28347,plain,
% 17.51/12.33 (~node4(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28346, 388, 28343])).
% 17.51/12.33 tff(28348,plain,
% 17.51/12.33 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s354, c_t2)) | (~m_main_v_state2(s354, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s354, c_t2)) | (~m_main_v_state2(s354, c_c2)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28349,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s354, c_t2)) | (~m_main_v_state2(s354, c_c2)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28350,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s354, c_t2)) | (~m_main_v_state2(s354, c_c2))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28349, 28348])).
% 17.51/12.33 tff(28351,plain,
% 17.51/12.33 (~m_main_v_state2(s354, c_c2)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28350, 260, 28339])).
% 17.51/12.33 tff(28352,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s354, c_c2) | (~node3(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s354, c_c2) | (~node3(s354)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28353,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s354, c_c2) | (~node3(s354)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28354,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s354, c_c2) | (~node3(s354))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28353, 28352])).
% 17.51/12.33 tff(28355,plain,
% 17.51/12.33 (~node3(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28354, 399, 28351])).
% 17.51/12.33 tff(28356,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s354, c_n2) | (~node2(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s354, c_n2) | (~node2(s354)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28357,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s354, c_n2) | (~node2(s354)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28358,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s354, c_n2) | (~node2(s354))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28357, 28356])).
% 17.51/12.33 tff(28359,plain,
% 17.51/12.33 (~node2(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28358, 410, 28343])).
% 17.51/12.33 tff(28360,plain,
% 17.51/12.33 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s354, c_n1)) | (~m_main_v_state1(s354, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s354, c_n1)) | (~m_main_v_state1(s354, c_c1)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28361,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s354, c_n1)) | (~m_main_v_state1(s354, c_c1)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28362,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s354, c_n1)) | (~m_main_v_state1(s354, c_c1))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28361, 28360])).
% 17.51/12.33 tff(28363,plain,
% 17.51/12.33 (~m_main_v_state1(s354, c_n1)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28362, 454, 28322])).
% 17.51/12.33 tff(28364,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s354, c_n1) | (~node1(s354)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s354, c_n1) | (~node1(s354)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28365,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s354, c_n1) | (~node1(s354)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28366,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s354, c_n1) | (~node1(s354))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28365, 28364])).
% 17.51/12.33 tff(28367,plain,
% 17.51/12.33 (~node1(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28366, 421, 28363])).
% 17.51/12.33 tff(28368,plain,
% 17.51/12.33 (succ(s354, s355) <=> succ(s354, s355)),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28369,axiom,(succ(s354, s355)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound355')).
% 17.51/12.33 tff(28370,plain,
% 17.51/12.33 (succ(s354, s355)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28369, 28368])).
% 17.51/12.33 tff(28371,plain,
% 17.51/12.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s354, s355)) | trans(s354, s355))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s354, s355)) | trans(s354, s355))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28372,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s354, s355)) | trans(s354, s355))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28373,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s354, s355)) | trans(s354, s355)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28372, 28371])).
% 17.51/12.33 tff(28374,plain,
% 17.51/12.33 (trans(s354, s355)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28373, 28370, 32])).
% 17.51/12.33 tff(28375,plain,
% 17.51/12.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s354, s355)) | node7(s354, s355))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s354, s355)) | node7(s354, s355))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28376,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s354, s355)) | node7(s354, s355))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28377,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s354, s355)) | node7(s354, s355)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28376, 28375])).
% 17.51/12.33 tff(28378,plain,
% 17.51/12.33 (node7(s354, s355)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28377, 206, 28374])).
% 17.51/12.33 tff(28379,plain,
% 17.51/12.33 (((~![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(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28380,plain,
% 17.51/12.33 (((~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)) | m_main_v_state1(s355, c_n1)) <=> (m_main_v_state1(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28381,plain,
% 17.51/12.33 (((~![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(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)) | m_main_v_state1(s355, 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(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355))))),
% 17.51/12.33 inference(monotonicity,[status(thm)],[28380])).
% 17.51/12.33 tff(28382,plain,
% 17.51/12.33 (((~![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(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)) | m_main_v_state1(s355, 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(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)))),
% 17.51/12.33 inference(transitivity,[status(thm)],[28381, 28379])).
% 17.51/12.33 tff(28383,plain,
% 17.51/12.33 ((~![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(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)) | m_main_v_state1(s355, c_n1))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28384,plain,
% 17.51/12.33 ((~![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(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28383, 28382])).
% 17.51/12.33 tff(28385,plain,
% 17.51/12.33 (m_main_v_state1(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28384, 584, 28378])).
% 17.51/12.33 tff(28386,plain,
% 17.51/12.33 (m_main_v_state1(s355, c_n1)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28385, 28367, 28322, 28359, 28355, 28347, 28330])).
% 17.51/12.33 tff(28387,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s353, c_t2) | (~node15(s353)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s353, c_t2) | (~node15(s353)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28388,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s353, c_t2) | (~node15(s353)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28389,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s353, c_t2) | (~node15(s353))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28388, 28387])).
% 17.51/12.33 tff(28390,plain,
% 17.51/12.33 (~node15(s353)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28389, 103, 28299])).
% 17.51/12.33 tff(28391,plain,
% 17.51/12.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s353, s354)) | node18(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s353, s354)) | node18(s353, s354))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28392,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s353, s354)) | node18(s353, s354))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28393,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s353, s354)) | node18(s353, s354)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28392, 28391])).
% 17.51/12.33 tff(28394,plain,
% 17.51/12.33 (node18(s353, s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28393, 125, 28310])).
% 17.51/12.33 tff(28395,plain,
% 17.51/12.33 (((~![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(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28396,plain,
% 17.51/12.33 (((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node15(s353) | (~node18(s353, s354)) | m_main_v_turn(s354, c_1)) <=> (node15(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28397,plain,
% 17.51/12.33 (((~![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(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node15(s353) | (~node18(s353, s354)) | m_main_v_turn(s354, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1)))),
% 17.51/12.33 inference(monotonicity,[status(thm)],[28396])).
% 17.51/12.33 tff(28398,plain,
% 17.51/12.33 (((~![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(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node15(s353) | (~node18(s353, s354)) | m_main_v_turn(s354, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1))),
% 17.51/12.33 inference(transitivity,[status(thm)],[28397, 28395])).
% 17.51/12.33 tff(28399,plain,
% 17.51/12.33 ((~![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(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node15(s353) | (~node18(s353, s354)) | m_main_v_turn(s354, c_1))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28400,plain,
% 17.51/12.33 ((~![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(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28399, 28398])).
% 17.51/12.33 tff(28401,plain,
% 17.51/12.33 (node15(s353) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28400, 992, 28394])).
% 17.51/12.33 tff(28402,plain,
% 17.51/12.33 (m_main_v_turn(s354, c_1)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28401, 28390, 28227, 28295])).
% 17.51/12.33 tff(28403,plain,
% 17.51/12.33 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s354, c_1)) | (~m_main_v_turn(s354, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s354, c_1)) | (~m_main_v_turn(s354, c_2)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28404,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s354, c_1)) | (~m_main_v_turn(s354, c_2)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28405,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s354, c_1)) | (~m_main_v_turn(s354, c_2))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28404, 28403])).
% 17.51/12.33 tff(28406,plain,
% 17.51/12.33 (~m_main_v_turn(s354, c_2)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28405, 156, 28402])).
% 17.51/12.33 tff(28407,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s354, c_2) | (~node12(s354)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s354, c_2) | (~node12(s354)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28408,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s354, c_2) | (~node12(s354)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28409,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s354, c_2) | (~node12(s354))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28408, 28407])).
% 17.51/12.33 tff(28410,plain,
% 17.51/12.33 (~node12(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28409, 184, 28406])).
% 17.51/12.33 tff(28411,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s354, c_n2) | (~node8(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s354, c_n2) | (~node8(s354)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28412,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s354, c_n2) | (~node8(s354)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28413,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s354, c_n2) | (~node8(s354))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28412, 28411])).
% 17.51/12.33 tff(28414,plain,
% 17.51/12.33 (~node8(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28413, 271, 28343])).
% 17.51/12.33 tff(28415,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s354, c_n2) | (~node9(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s354, c_n2) | (~node9(s354)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28416,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s354, c_n2) | (~node9(s354)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28417,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s354, c_n2) | (~node9(s354))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28416, 28415])).
% 17.51/12.33 tff(28418,plain,
% 17.51/12.33 (~node9(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28417, 88, 28343])).
% 17.51/12.33 tff(28419,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s354, c_n2) | (~node10(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s354, c_n2) | (~node10(s354)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28420,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s354, c_n2) | (~node10(s354)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28421,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s354, c_n2) | (~node10(s354))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28420, 28419])).
% 17.51/12.33 tff(28422,plain,
% 17.51/12.33 (~node10(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28421, 249, 28343])).
% 17.51/12.33 tff(28423,plain,
% 17.51/12.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s354, c_n1) | (~node11(s354)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s354, c_n1) | (~node11(s354)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28424,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s354, c_n1) | (~node11(s354)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28425,plain,
% 17.51/12.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s354, c_n1) | (~node11(s354))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28424, 28423])).
% 17.51/12.33 tff(28426,plain,
% 17.51/12.33 (~node11(s354)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28425, 238, 28363])).
% 17.51/12.33 tff(28427,plain,
% 17.51/12.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s354, s355)) | node14(s354, s355))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s354, s355)) | node14(s354, s355))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28428,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s354, s355)) | node14(s354, s355))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28429,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s354, s355)) | node14(s354, s355)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28428, 28427])).
% 17.51/12.33 tff(28430,plain,
% 17.51/12.33 (node14(s354, s355)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28429, 46, 28374])).
% 17.51/12.33 tff(28431,plain,
% 17.51/12.33 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s354, c_c2) | node9(s354) | node8(s354) | node10(s354) | node11(s354) | node12(s354) | node13(s354, s355) | (~node14(s354, s355)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s354, c_c2) | node9(s354) | node8(s354) | node10(s354) | node11(s354) | node12(s354) | node13(s354, s355) | (~node14(s354, s355)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28432,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s354, c_c2) | node9(s354) | node8(s354) | node10(s354) | node11(s354) | node12(s354) | node13(s354, s355) | (~node14(s354, s355)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28433,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s354, c_c2) | node9(s354) | node8(s354) | node10(s354) | node11(s354) | node12(s354) | node13(s354, s355) | (~node14(s354, s355))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28432, 28431])).
% 17.51/12.33 tff(28434,plain,
% 17.51/12.33 (m_main_v_state2(s354, c_c2) | node9(s354) | node8(s354) | node10(s354) | node11(s354) | node12(s354) | node13(s354, s355)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28433, 296, 28430])).
% 17.51/12.33 tff(28435,plain,
% 17.51/12.33 (node13(s354, s355)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28434, 28426, 28351, 28422, 28418, 28414, 28410])).
% 17.51/12.33 tff(28436,plain,
% 17.51/12.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28437,plain,
% 17.51/12.33 (((~node13(s354, s355)) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2)) <=> ((~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28438,plain,
% 17.51/12.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s354, s355)) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, 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(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355))))),
% 17.51/12.33 inference(monotonicity,[status(thm)],[28437])).
% 17.51/12.33 tff(28439,plain,
% 17.51/12.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s354, s355)) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, 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(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355)))),
% 17.51/12.33 inference(transitivity,[status(thm)],[28438, 28436])).
% 17.51/12.33 tff(28440,plain,
% 17.51/12.33 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s354, s355)) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28441,plain,
% 17.51/12.33 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355))),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28440, 28439])).
% 17.51/12.33 tff(28442,plain,
% 17.51/12.33 (m_main_v_state2(s355, c_t2)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28441, 518, 28339, 28435])).
% 17.51/12.33 tff(28443,plain,
% 17.51/12.33 (succ(s355, s356) <=> succ(s355, s356)),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28444,axiom,(succ(s355, s356)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound356')).
% 17.51/12.33 tff(28445,plain,
% 17.51/12.33 (succ(s355, s356)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28444, 28443])).
% 17.51/12.33 tff(28446,plain,
% 17.51/12.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s355, s356)) | trans(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s355, s356)) | trans(s355, s356))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28447,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s355, s356)) | trans(s355, s356))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28448,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s355, s356)) | trans(s355, s356)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28447, 28446])).
% 17.51/12.33 tff(28449,plain,
% 17.51/12.33 (trans(s355, s356)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28448, 28445, 32])).
% 17.51/12.33 tff(28450,plain,
% 17.51/12.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s355, s356)) | node7(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s355, s356)) | node7(s355, s356))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28451,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s355, s356)) | node7(s355, s356))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28452,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s355, s356)) | node7(s355, s356)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28451, 28450])).
% 17.51/12.33 tff(28453,plain,
% 17.51/12.33 (node7(s355, s356)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28452, 206, 28449])).
% 17.51/12.33 tff(28454,plain,
% 17.51/12.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node7(s355, s356)) | m_main_v_state1(s356, 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(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node7(s355, s356)) | m_main_v_state1(s356, c_t1))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28455,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node7(s355, s356)) | m_main_v_state1(s356, c_t1))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28456,plain,
% 17.51/12.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node7(s355, s356)) | m_main_v_state1(s356, c_t1)),
% 17.51/12.33 inference(modus_ponens,[status(thm)],[28455, 28454])).
% 17.51/12.33 tff(28457,plain,
% 17.51/12.33 ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | m_main_v_state1(s356, c_t1)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28456, 651, 28453])).
% 17.51/12.33 tff(28458,plain,
% 17.51/12.33 (m_main_v_state1(s356, c_t1)),
% 17.51/12.33 inference(unit_resolution,[status(thm)],[28457, 28442, 28386])).
% 17.51/12.33 tff(28459,plain,
% 17.51/12.33 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s356, c_n1)) | (~m_main_v_state1(s356, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s356, c_n1)) | (~m_main_v_state1(s356, c_t1)))),
% 17.51/12.33 inference(rewrite,[status(thm)],[])).
% 17.51/12.33 tff(28460,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s356, c_n1)) | (~m_main_v_state1(s356, c_t1)))),
% 17.51/12.33 inference(quant_inst,[status(thm)],[])).
% 17.51/12.33 tff(28461,plain,
% 17.51/12.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s356, c_n1)) | (~m_main_v_state1(s356, c_t1))),
% 17.51/12.34 inference(modus_ponens,[status(thm)],[28460, 28459])).
% 17.51/12.34 tff(28462,plain,
% 17.51/12.34 (~m_main_v_state1(s356, c_n1)),
% 17.51/12.34 inference(unit_resolution,[status(thm)],[28461, 10, 28458])).
% 17.51/12.34 tff(28463,plain,
% 17.51/12.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s356, c_n1) | (~node1(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s356, c_n1) | (~node1(s356)))),
% 17.51/12.34 inference(rewrite,[status(thm)],[])).
% 17.51/12.34 tff(28464,plain,
% 17.51/12.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s356, c_n1) | (~node1(s356)))),
% 17.51/12.34 inference(quant_inst,[status(thm)],[])).
% 17.51/12.34 tff(28465,plain,
% 17.51/12.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s356, c_n1) | (~node1(s356))),
% 17.51/12.34 inference(modus_ponens,[status(thm)],[28464, 28463])).
% 17.51/12.34 tff(28466,plain,
% 17.51/12.34 (~node1(s356)),
% 17.51/12.34 inference(unit_resolution,[status(thm)],[28465, 421, 28462])).
% 17.51/12.34 tff(28467,plain,
% 17.51/12.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s355, s356)) | node18(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s355, s356)) | node18(s355, s356))),
% 17.51/12.34 inference(rewrite,[status(thm)],[])).
% 17.51/12.34 tff(28468,plain,
% 17.51/12.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s355, s356)) | node18(s355, s356))),
% 17.51/12.34 inference(quant_inst,[status(thm)],[])).
% 17.51/12.34 tff(28469,plain,
% 17.51/12.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s355, s356)) | node18(s355, s356)),
% 17.51/12.34 inference(modus_ponens,[status(thm)],[28468, 28467])).
% 17.51/12.34 tff(28470,plain,
% 17.51/12.34 (node18(s355, s356)),
% 17.51/12.34 inference(unit_resolution,[status(thm)],[28469, 125, 28449])).
% 17.51/12.34 tff(28471,plain,
% 17.51/12.34 (((~![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(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node18(s355, s356)) | m_main_v_turn(s356, 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(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node18(s355, s356)) | m_main_v_turn(s356, c_2))),
% 17.51/12.34 inference(rewrite,[status(thm)],[])).
% 17.51/12.34 tff(28472,plain,
% 17.51/12.34 ((~![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(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node18(s355, s356)) | m_main_v_turn(s356, c_2))),
% 17.51/12.34 inference(quant_inst,[status(thm)],[])).
% 17.51/12.34 tff(28473,plain,
% 17.51/12.34 ((~![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(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node18(s355, s356)) | m_main_v_turn(s356, c_2)),
% 17.51/12.34 inference(modus_ponens,[status(thm)],[28472, 28471])).
% 17.51/12.34 tff(28474,plain,
% 17.51/12.34 ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | m_main_v_turn(s356, c_2)),
% 17.51/12.34 inference(unit_resolution,[status(thm)],[28473, 760, 28470])).
% 17.51/12.34 tff(28475,plain,
% 17.51/12.34 (m_main_v_turn(s356, c_2)),
% 17.51/12.34 inference(unit_resolution,[status(thm)],[28474, 28442, 28386])).
% 17.51/12.34 tff(28476,plain,
% 17.51/12.34 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s356, c_1)) | (~m_main_v_turn(s356, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s356, c_1)) | (~m_main_v_turn(s356, c_2)))),
% 17.51/12.34 inference(rewrite,[status(thm)],[])).
% 17.51/12.34 tff(28477,plain,
% 17.51/12.34 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s356, c_1)) | (~m_main_v_turn(s356, c_2)))),
% 17.51/12.34 inference(quant_inst,[status(thm)],[])).
% 17.51/12.34 tff(28478,plain,
% 17.51/12.34 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s356, c_1)) | (~m_main_v_turn(s356, c_2))),
% 17.51/12.34 inference(modus_ponens,[status(thm)],[28477, 28476])).
% 17.51/12.34 tff(28479,plain,
% 17.51/12.34 (~m_main_v_turn(s356, c_1)),
% 17.51/12.34 inference(unit_resolution,[status(thm)],[28478, 156, 28475])).
% 17.54/12.34 tff(28480,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s356, c_1) | (~node5(s356)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s356, c_1) | (~node5(s356)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28481,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s356, c_1) | (~node5(s356)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28482,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s356, c_1) | (~node5(s356))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28481, 28480])).
% 17.54/12.34 tff(28483,plain,
% 17.54/12.34 (~node5(s356)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28482, 776, 28479])).
% 17.54/12.34 tff(28484,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s356, c_n1) | (~node2(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s356, c_n1) | (~node2(s356)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28485,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s356, c_n1) | (~node2(s356)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28486,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s356, c_n1) | (~node2(s356))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28485, 28484])).
% 17.54/12.34 tff(28487,plain,
% 17.54/12.34 (~node2(s356)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28486, 787, 28462])).
% 17.54/12.34 tff(28488,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s356, c_n1) | (~node3(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s356, c_n1) | (~node3(s356)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28489,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s356, c_n1) | (~node3(s356)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28490,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s356, c_n1) | (~node3(s356))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28489, 28488])).
% 17.54/12.34 tff(28491,plain,
% 17.54/12.34 (~node3(s356)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28490, 798, 28462])).
% 17.54/12.34 tff(28492,plain,
% 17.54/12.34 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s356, c_t1)) | (~m_main_v_state1(s356, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s356, c_t1)) | (~m_main_v_state1(s356, c_c1)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28493,plain,
% 17.54/12.34 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s356, c_t1)) | (~m_main_v_state1(s356, c_c1)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28494,plain,
% 17.54/12.34 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s356, c_t1)) | (~m_main_v_state1(s356, c_c1))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28493, 28492])).
% 17.54/12.34 tff(28495,plain,
% 17.54/12.34 (~m_main_v_state1(s356, c_c1)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28494, 539, 28458])).
% 17.54/12.34 tff(28496,plain,
% 17.54/12.34 (((~![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(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28497,plain,
% 17.54/12.34 (((~node13(s354, s355)) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2))) <=> (m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28498,plain,
% 17.54/12.34 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s354, s355)) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, 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(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355))))),
% 17.54/12.34 inference(monotonicity,[status(thm)],[28497])).
% 17.54/12.34 tff(28499,plain,
% 17.54/12.34 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s354, s355)) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, 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(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355)))),
% 17.54/12.34 inference(transitivity,[status(thm)],[28498, 28496])).
% 17.54/12.34 tff(28500,plain,
% 17.54/12.34 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s354, s355)) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28501,plain,
% 17.54/12.34 ((~![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(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28500, 28499])).
% 17.54/12.34 tff(28502,plain,
% 17.54/12.34 (~m_main_v_state2(s355, c_n2)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28501, 311, 28343, 28435])).
% 17.54/12.34 tff(28503,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s355, c_n2) | (~node9(s355)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s355, c_n2) | (~node9(s355)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28504,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s355, c_n2) | (~node9(s355)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28505,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s355, c_n2) | (~node9(s355))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28504, 28503])).
% 17.54/12.34 tff(28506,plain,
% 17.54/12.34 (~node9(s355)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28505, 88, 28502])).
% 17.54/12.34 tff(28507,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s355, c_n2) | (~node10(s355)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s355, c_n2) | (~node10(s355)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28508,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s355, c_n2) | (~node10(s355)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28509,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s355, c_n2) | (~node10(s355))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28508, 28507])).
% 17.54/12.34 tff(28510,plain,
% 17.54/12.34 (~node10(s355)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28509, 249, 28502])).
% 17.54/12.34 tff(28511,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s355, c_n2) | (~node8(s355)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s355, c_n2) | (~node8(s355)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28512,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s355, c_n2) | (~node8(s355)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28513,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s355, c_n2) | (~node8(s355))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28512, 28511])).
% 17.54/12.34 tff(28514,plain,
% 17.54/12.34 (~node8(s355)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28513, 271, 28502])).
% 17.54/12.34 tff(28515,plain,
% 17.54/12.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s355, s356)) | node14(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s355, s356)) | node14(s355, s356))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28516,plain,
% 17.54/12.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s355, s356)) | node14(s355, s356))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28517,plain,
% 17.54/12.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s355, s356)) | node14(s355, s356)),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28516, 28515])).
% 17.54/12.34 tff(28518,plain,
% 17.54/12.34 (node14(s355, s356)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28517, 46, 28449])).
% 17.54/12.34 tff(28519,plain,
% 17.54/12.34 (((~![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(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | node9(s355) | node8(s355) | node10(s355) | (~node14(s355, s356)) | m_main_v_state2(s356, 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(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | node9(s355) | node8(s355) | node10(s355) | (~node14(s355, s356)) | m_main_v_state2(s356, c_c2))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28520,plain,
% 17.54/12.34 ((~![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(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | node9(s355) | node8(s355) | node10(s355) | (~node14(s355, s356)) | m_main_v_state2(s356, c_c2))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28521,plain,
% 17.54/12.34 ((~![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(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | node9(s355) | node8(s355) | node10(s355) | (~node14(s355, s356)) | m_main_v_state2(s356, c_c2)),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28520, 28519])).
% 17.54/12.34 tff(28522,plain,
% 17.54/12.34 ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | node9(s355) | node8(s355) | node10(s355) | m_main_v_state2(s356, c_c2)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28521, 617, 28518])).
% 17.54/12.34 tff(28523,plain,
% 17.54/12.34 (m_main_v_state2(s356, c_c2)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28522, 28514, 28386, 28442, 28510, 28506])).
% 17.54/12.34 tff(28524,plain,
% 17.54/12.34 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s356, c_n2)) | (~m_main_v_state2(s356, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s356, c_n2)) | (~m_main_v_state2(s356, c_c2)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28525,plain,
% 17.54/12.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s356, c_n2)) | (~m_main_v_state2(s356, c_c2)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28526,plain,
% 17.54/12.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s356, c_n2)) | (~m_main_v_state2(s356, c_c2))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28525, 28524])).
% 17.54/12.34 tff(28527,plain,
% 17.54/12.34 (~m_main_v_state2(s356, c_n2)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28526, 697, 28523])).
% 17.54/12.34 tff(28528,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s356, c_n2) | (~node4(s356)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s356, c_n2) | (~node4(s356)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28529,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s356, c_n2) | (~node4(s356)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28530,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s356, c_n2) | (~node4(s356))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28529, 28528])).
% 17.54/12.34 tff(28531,plain,
% 17.54/12.34 (~node4(s356)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28530, 388, 28527])).
% 17.54/12.34 tff(28532,plain,
% 17.54/12.34 (succ(s356, s357) <=> succ(s356, s357)),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28533,axiom,(succ(s356, s357)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound357')).
% 17.54/12.34 tff(28534,plain,
% 17.54/12.34 (succ(s356, s357)),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28533, 28532])).
% 17.54/12.34 tff(28535,plain,
% 17.54/12.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s356, s357)) | trans(s356, s357))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s356, s357)) | trans(s356, s357))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28536,plain,
% 17.54/12.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s356, s357)) | trans(s356, s357))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28537,plain,
% 17.54/12.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s356, s357)) | trans(s356, s357)),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28536, 28535])).
% 17.54/12.34 tff(28538,plain,
% 17.54/12.34 (trans(s356, s357)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28537, 28534, 32])).
% 17.54/12.34 tff(28539,plain,
% 17.54/12.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s356, s357)) | node7(s356, s357))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s356, s357)) | node7(s356, s357))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28540,plain,
% 17.54/12.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s356, s357)) | node7(s356, s357))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28541,plain,
% 17.54/12.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s356, s357)) | node7(s356, s357)),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28540, 28539])).
% 17.54/12.34 tff(28542,plain,
% 17.54/12.34 (node7(s356, s357)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28541, 206, 28538])).
% 17.54/12.34 tff(28543,plain,
% 17.54/12.34 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s356, c_c1) | node1(s356) | node2(s356) | node3(s356) | node4(s356) | node5(s356) | node6(s356, s357) | (~node7(s356, s357)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s356, c_c1) | node1(s356) | node2(s356) | node3(s356) | node4(s356) | node5(s356) | node6(s356, s357) | (~node7(s356, s357)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28544,plain,
% 17.54/12.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s356, c_c1) | node1(s356) | node2(s356) | node3(s356) | node4(s356) | node5(s356) | node6(s356, s357) | (~node7(s356, s357)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28545,plain,
% 17.54/12.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s356, c_c1) | node1(s356) | node2(s356) | node3(s356) | node4(s356) | node5(s356) | node6(s356, s357) | (~node7(s356, s357))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28544, 28543])).
% 17.54/12.34 tff(28546,plain,
% 17.54/12.34 (m_main_v_state1(s356, c_c1) | node1(s356) | node2(s356) | node3(s356) | node4(s356) | node5(s356) | node6(s356, s357)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28545, 820, 28542])).
% 17.54/12.34 tff(28547,plain,
% 17.54/12.34 (node6(s356, s357)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28546, 28531, 28495, 28491, 28487, 28483, 28466])).
% 17.54/12.34 tff(28548,plain,
% 17.54/12.34 (((~![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(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28549,plain,
% 17.54/12.34 (((~node6(s356, s357)) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1)) <=> ((~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28550,plain,
% 17.54/12.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s356, s357)) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, 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(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357))))),
% 17.54/12.34 inference(monotonicity,[status(thm)],[28549])).
% 17.54/12.34 tff(28551,plain,
% 17.54/12.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s356, s357)) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, 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(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357)))),
% 17.54/12.34 inference(transitivity,[status(thm)],[28550, 28548])).
% 17.54/12.34 tff(28552,plain,
% 17.54/12.34 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s356, s357)) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28553,plain,
% 17.54/12.34 ((~![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(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28552, 28551])).
% 17.54/12.34 tff(28554,plain,
% 17.54/12.34 (m_main_v_state1(s357, c_t1)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28553, 856, 28458, 28547])).
% 17.54/12.34 tff(28555,plain,
% 17.54/12.34 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s356, c_t2)) | (~m_main_v_state2(s356, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s356, c_t2)) | (~m_main_v_state2(s356, c_c2)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28556,plain,
% 17.54/12.34 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s356, c_t2)) | (~m_main_v_state2(s356, c_c2)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28557,plain,
% 17.54/12.34 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s356, c_t2)) | (~m_main_v_state2(s356, c_c2))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28556, 28555])).
% 17.54/12.34 tff(28558,plain,
% 17.54/12.34 (~m_main_v_state2(s356, c_t2)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28557, 260, 28523])).
% 17.54/12.34 tff(28559,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s356, c_t2) | (~node12(s356)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s356, c_t2) | (~node12(s356)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28560,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s356, c_t2) | (~node12(s356)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28561,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s356, c_t2) | (~node12(s356))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28560, 28559])).
% 17.54/12.34 tff(28562,plain,
% 17.54/12.34 (~node12(s356)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28561, 633, 28558])).
% 17.54/12.34 tff(28563,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s356, c_n1) | (~node11(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s356, c_n1) | (~node11(s356)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28564,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s356, c_n1) | (~node11(s356)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28565,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s356, c_n1) | (~node11(s356))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28564, 28563])).
% 17.54/12.34 tff(28566,plain,
% 17.54/12.34 (~node11(s356)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28565, 238, 28462])).
% 17.54/12.34 tff(28567,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s356, c_c1) | (~node10(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s356, c_c1) | (~node10(s356)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28568,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s356, c_c1) | (~node10(s356)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28569,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s356, c_c1) | (~node10(s356))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28568, 28567])).
% 17.54/12.34 tff(28570,plain,
% 17.54/12.34 (~node10(s356)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28569, 675, 28495])).
% 17.54/12.34 tff(28571,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s356, c_n1) | (~node9(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s356, c_n1) | (~node9(s356)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28572,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s356, c_n1) | (~node9(s356)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28573,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s356, c_n1) | (~node9(s356))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28572, 28571])).
% 17.54/12.34 tff(28574,plain,
% 17.54/12.34 (~node9(s356)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28573, 686, 28462])).
% 17.54/12.34 tff(28575,plain,
% 17.54/12.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s356, c_n2) | (~node8(s356)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s356, c_n2) | (~node8(s356)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28576,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s356, c_n2) | (~node8(s356)))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28577,plain,
% 17.54/12.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s356, c_n2) | (~node8(s356))),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28576, 28575])).
% 17.54/12.34 tff(28578,plain,
% 17.54/12.34 (~node8(s356)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28577, 271, 28527])).
% 17.54/12.34 tff(28579,plain,
% 17.54/12.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s356, s357)) | node14(s356, s357))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s356, s357)) | node14(s356, s357))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28580,plain,
% 17.54/12.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s356, s357)) | node14(s356, s357))),
% 17.54/12.34 inference(quant_inst,[status(thm)],[])).
% 17.54/12.34 tff(28581,plain,
% 17.54/12.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s356, s357)) | node14(s356, s357)),
% 17.54/12.34 inference(modus_ponens,[status(thm)],[28580, 28579])).
% 17.54/12.34 tff(28582,plain,
% 17.54/12.34 (node14(s356, s357)),
% 17.54/12.34 inference(unit_resolution,[status(thm)],[28581, 46, 28538])).
% 17.54/12.34 tff(28583,plain,
% 17.54/12.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, 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(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28584,plain,
% 17.54/12.34 (((~m_main_v_state2(s356, c_c2)) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | m_main_v_state2(s357, c_n2)) <=> (m_main_v_state2(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2)))),
% 17.54/12.34 inference(rewrite,[status(thm)],[])).
% 17.54/12.34 tff(28585,plain,
% 17.54/12.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s356, c_c2)) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | m_main_v_state2(s357, 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(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2))))),
% 17.54/12.35 inference(monotonicity,[status(thm)],[28584])).
% 17.54/12.35 tff(28586,plain,
% 17.54/12.35 (((~![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(s356, c_c2)) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | m_main_v_state2(s357, 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(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2)))),
% 17.54/12.35 inference(transitivity,[status(thm)],[28585, 28583])).
% 17.54/12.35 tff(28587,plain,
% 17.54/12.35 ((~![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(s356, c_c2)) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | m_main_v_state2(s357, c_n2))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28588,plain,
% 17.54/12.35 ((~![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(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28587, 28586])).
% 17.54/12.35 tff(28589,plain,
% 17.54/12.35 (m_main_v_state2(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~m_main_v_state2(s356, c_c2))),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28588, 726, 28582])).
% 17.54/12.35 tff(28590,plain,
% 17.54/12.35 (m_main_v_state2(s357, c_n2)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28589, 28578, 28523, 28574, 28570, 28566, 28562])).
% 17.54/12.35 tff(28591,plain,
% 17.54/12.35 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_t2)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28592,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_t2)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28593,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_t2))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28592, 28591])).
% 17.54/12.35 tff(28594,plain,
% 17.54/12.35 (~m_main_v_state2(s357, c_t2)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28593, 77, 28590])).
% 17.54/12.35 tff(28595,plain,
% 17.54/12.35 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s357, c_t2) | (~node15(s357)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s357, c_t2) | (~node15(s357)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28596,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s357, c_t2) | (~node15(s357)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28597,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s357, c_t2) | (~node15(s357))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28596, 28595])).
% 17.54/12.35 tff(28598,plain,
% 17.54/12.35 (~node15(s357)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28597, 103, 28594])).
% 17.54/12.35 tff(28599,plain,
% 17.54/12.35 (succ(s357, s358) <=> succ(s357, s358)),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28600,axiom,(succ(s357, s358)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound358')).
% 17.54/12.35 tff(28601,plain,
% 17.54/12.35 (succ(s357, s358)),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28600, 28599])).
% 17.54/12.35 tff(28602,plain,
% 17.54/12.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s357, s358)) | trans(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s357, s358)) | trans(s357, s358))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28603,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s357, s358)) | trans(s357, s358))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28604,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s357, s358)) | trans(s357, s358)),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28603, 28602])).
% 17.54/12.35 tff(28605,plain,
% 17.54/12.35 (trans(s357, s358)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28604, 28601, 32])).
% 17.54/12.35 tff(28606,plain,
% 17.54/12.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s357, s358)) | node18(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s357, s358)) | node18(s357, s358))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28607,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s357, s358)) | node18(s357, s358))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28608,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s357, s358)) | node18(s357, s358)),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28607, 28606])).
% 17.54/12.35 tff(28609,plain,
% 17.54/12.35 (node18(s357, s358)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28608, 125, 28605])).
% 17.54/12.35 tff(28610,plain,
% 17.54/12.35 (((~![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(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28611,plain,
% 17.54/12.35 (((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node15(s357) | (~node18(s357, s358)) | m_main_v_turn(s358, c_1)) <=> (node15(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28612,plain,
% 17.54/12.35 (((~![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(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node15(s357) | (~node18(s357, s358)) | m_main_v_turn(s358, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1)))),
% 17.54/12.35 inference(monotonicity,[status(thm)],[28611])).
% 17.54/12.35 tff(28613,plain,
% 17.54/12.35 (((~![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(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node15(s357) | (~node18(s357, s358)) | m_main_v_turn(s358, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1))),
% 17.54/12.35 inference(transitivity,[status(thm)],[28612, 28610])).
% 17.54/12.35 tff(28614,plain,
% 17.54/12.35 ((~![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(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node15(s357) | (~node18(s357, s358)) | m_main_v_turn(s358, c_1))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28615,plain,
% 17.54/12.35 ((~![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(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1)),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28614, 28613])).
% 17.54/12.35 tff(28616,plain,
% 17.54/12.35 (node15(s357) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28615, 992, 28609])).
% 17.54/12.35 tff(28617,plain,
% 17.54/12.35 (m_main_v_turn(s358, c_1)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28616, 28598, 28590, 28554])).
% 17.54/12.35 tff(28618,plain,
% 17.54/12.35 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s358, c_1)) | (~m_main_v_turn(s358, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s358, c_1)) | (~m_main_v_turn(s358, c_2)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28619,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s358, c_1)) | (~m_main_v_turn(s358, c_2)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28620,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s358, c_1)) | (~m_main_v_turn(s358, c_2))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28619, 28618])).
% 17.54/12.35 tff(28621,plain,
% 17.54/12.35 (~m_main_v_turn(s358, c_2)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28620, 156, 28617])).
% 17.54/12.35 tff(28622,plain,
% 17.54/12.35 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s358, c_2) | (~node12(s358)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s358, c_2) | (~node12(s358)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28623,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s358, c_2) | (~node12(s358)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28624,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s358, c_2) | (~node12(s358))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28623, 28622])).
% 17.54/12.35 tff(28625,plain,
% 17.54/12.35 (~node12(s358)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28624, 184, 28621])).
% 17.54/12.35 tff(28626,plain,
% 17.54/12.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s357, s358)) | node14(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s357, s358)) | node14(s357, s358))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28627,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s357, s358)) | node14(s357, s358))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28628,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s357, s358)) | node14(s357, s358)),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28627, 28626])).
% 17.54/12.35 tff(28629,plain,
% 17.54/12.35 (node14(s357, s358)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28628, 46, 28605])).
% 17.54/12.35 tff(28630,plain,
% 17.54/12.35 (((~![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(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | (~node14(s357, s358)) | m_main_v_state2(s358, 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(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | (~node14(s357, s358)) | m_main_v_state2(s358, c_t2))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28631,plain,
% 17.54/12.35 ((~![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(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | (~node14(s357, s358)) | m_main_v_state2(s358, c_t2))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28632,plain,
% 17.54/12.35 ((~![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(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | (~node14(s357, s358)) | m_main_v_state2(s358, c_t2)),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28631, 28630])).
% 17.54/12.35 tff(28633,plain,
% 17.54/12.35 ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state2(s358, c_t2)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28632, 922, 28629])).
% 17.54/12.35 tff(28634,plain,
% 17.54/12.35 (m_main_v_state2(s358, c_t2)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28633, 28554, 28590])).
% 17.54/12.35 tff(28635,plain,
% 17.54/12.35 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s358, c_n2)) | (~m_main_v_state2(s358, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s358, c_n2)) | (~m_main_v_state2(s358, c_t2)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28636,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s358, c_n2)) | (~m_main_v_state2(s358, c_t2)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28637,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s358, c_n2)) | (~m_main_v_state2(s358, c_t2))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28636, 28635])).
% 17.54/12.35 tff(28638,plain,
% 17.54/12.35 (~m_main_v_state2(s358, c_n2)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28637, 77, 28634])).
% 17.54/12.35 tff(28639,plain,
% 17.54/12.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s358, c_n2) | (~node8(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s358, c_n2) | (~node8(s358)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28640,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s358, c_n2) | (~node8(s358)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28641,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s358, c_n2) | (~node8(s358))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28640, 28639])).
% 17.54/12.35 tff(28642,plain,
% 17.54/12.35 (~node8(s358)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28641, 271, 28638])).
% 17.54/12.35 tff(28643,plain,
% 17.54/12.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s358, c_n2) | (~node9(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s358, c_n2) | (~node9(s358)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28644,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s358, c_n2) | (~node9(s358)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28645,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s358, c_n2) | (~node9(s358))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28644, 28643])).
% 17.54/12.35 tff(28646,plain,
% 17.54/12.35 (~node9(s358)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28645, 88, 28638])).
% 17.54/12.35 tff(28647,plain,
% 17.54/12.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s358, c_n2) | (~node10(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s358, c_n2) | (~node10(s358)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28648,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s358, c_n2) | (~node10(s358)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28649,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s358, c_n2) | (~node10(s358))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28648, 28647])).
% 17.54/12.35 tff(28650,plain,
% 17.54/12.35 (~node10(s358)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28649, 249, 28638])).
% 17.54/12.35 tff(28651,plain,
% 17.54/12.35 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s358, c_t2)) | (~m_main_v_state2(s358, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s358, c_t2)) | (~m_main_v_state2(s358, c_c2)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28652,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s358, c_t2)) | (~m_main_v_state2(s358, c_c2)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28653,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s358, c_t2)) | (~m_main_v_state2(s358, c_c2))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28652, 28651])).
% 17.54/12.35 tff(28654,plain,
% 17.54/12.35 (~m_main_v_state2(s358, c_c2)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28653, 260, 28634])).
% 17.54/12.35 tff(28655,plain,
% 17.54/12.35 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_c2)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28656,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_c2)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28657,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_c2))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28656, 28655])).
% 17.54/12.35 tff(28658,plain,
% 17.54/12.35 (~m_main_v_state2(s357, c_c2)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28657, 697, 28590])).
% 17.54/12.35 tff(28659,plain,
% 17.54/12.35 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s357, c_c2) | (~node3(s357)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s357, c_c2) | (~node3(s357)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28660,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s357, c_c2) | (~node3(s357)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28661,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s357, c_c2) | (~node3(s357))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28660, 28659])).
% 17.54/12.35 tff(28662,plain,
% 17.54/12.35 (~node3(s357)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28661, 399, 28658])).
% 17.54/12.35 tff(28663,plain,
% 17.54/12.35 (((~![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(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28664,plain,
% 17.54/12.35 (((~node6(s356, s357)) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1))) <=> (m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28665,plain,
% 17.54/12.35 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s356, s357)) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, 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(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357))))),
% 17.54/12.35 inference(monotonicity,[status(thm)],[28664])).
% 17.54/12.35 tff(28666,plain,
% 17.54/12.35 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s356, s357)) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, 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(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357)))),
% 17.54/12.35 inference(transitivity,[status(thm)],[28665, 28663])).
% 17.54/12.35 tff(28667,plain,
% 17.54/12.35 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s356, s357)) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28668,plain,
% 17.54/12.35 ((~![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(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28667, 28666])).
% 17.54/12.35 tff(28669,plain,
% 17.54/12.35 (~m_main_v_state1(s357, c_n1)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28668, 835, 28462, 28547])).
% 17.54/12.35 tff(28670,plain,
% 17.54/12.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s357, c_n1) | (~node2(s357)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s357, c_n1) | (~node2(s357)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28671,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s357, c_n1) | (~node2(s357)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28672,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s357, c_n1) | (~node2(s357))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28671, 28670])).
% 17.54/12.35 tff(28673,plain,
% 17.54/12.35 (~node2(s357)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28672, 787, 28669])).
% 17.54/12.35 tff(28674,plain,
% 17.54/12.35 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s357, c_t2) | (~node1(s357)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s357, c_t2) | (~node1(s357)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28675,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s357, c_t2) | (~node1(s357)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28676,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s357, c_t2) | (~node1(s357))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28675, 28674])).
% 17.54/12.35 tff(28677,plain,
% 17.54/12.35 (~node1(s357)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28676, 195, 28594])).
% 17.54/12.35 tff(28678,plain,
% 17.54/12.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s357, s358)) | node7(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s357, s358)) | node7(s357, s358))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28679,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s357, s358)) | node7(s357, s358))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28680,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s357, s358)) | node7(s357, s358)),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28679, 28678])).
% 17.54/12.35 tff(28681,plain,
% 17.54/12.35 (node7(s357, s358)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28680, 206, 28605])).
% 17.54/12.35 tff(28682,plain,
% 17.54/12.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28683,plain,
% 17.54/12.35 (((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)) | m_main_v_state1(s358, c_c1)) <=> ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28684,plain,
% 17.54/12.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)) | m_main_v_state1(s358, 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(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358))))),
% 17.54/12.35 inference(monotonicity,[status(thm)],[28683])).
% 17.54/12.35 tff(28685,plain,
% 17.54/12.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)) | m_main_v_state1(s358, 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(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)))),
% 17.54/12.35 inference(transitivity,[status(thm)],[28684, 28682])).
% 17.54/12.35 tff(28686,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)) | m_main_v_state1(s358, c_c1))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28687,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28686, 28685])).
% 17.54/12.35 tff(28688,plain,
% 17.54/12.35 ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28687, 892, 28681])).
% 17.54/12.35 tff(28689,plain,
% 17.54/12.35 (m_main_v_state1(s358, c_c1)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28688, 28677, 28590, 28554, 28673, 28662])).
% 17.54/12.35 tff(28690,plain,
% 17.54/12.35 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s358, c_n1)) | (~m_main_v_state1(s358, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s358, c_n1)) | (~m_main_v_state1(s358, c_c1)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28691,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s358, c_n1)) | (~m_main_v_state1(s358, c_c1)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28692,plain,
% 17.54/12.35 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s358, c_n1)) | (~m_main_v_state1(s358, c_c1))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28691, 28690])).
% 17.54/12.35 tff(28693,plain,
% 17.54/12.35 (~m_main_v_state1(s358, c_n1)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28692, 454, 28689])).
% 17.54/12.35 tff(28694,plain,
% 17.54/12.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s358, c_n1) | (~node11(s358)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s358, c_n1) | (~node11(s358)))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28695,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s358, c_n1) | (~node11(s358)))),
% 17.54/12.35 inference(quant_inst,[status(thm)],[])).
% 17.54/12.35 tff(28696,plain,
% 17.54/12.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s358, c_n1) | (~node11(s358))),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28695, 28694])).
% 17.54/12.35 tff(28697,plain,
% 17.54/12.35 (~node11(s358)),
% 17.54/12.35 inference(unit_resolution,[status(thm)],[28696, 238, 28693])).
% 17.54/12.35 tff(28698,plain,
% 17.54/12.35 (succ(s358, s359) <=> succ(s358, s359)),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28699,axiom,(succ(s358, s359)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound359')).
% 17.54/12.35 tff(28700,plain,
% 17.54/12.35 (succ(s358, s359)),
% 17.54/12.35 inference(modus_ponens,[status(thm)],[28699, 28698])).
% 17.54/12.35 tff(28701,plain,
% 17.54/12.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s358, s359)) | trans(s358, s359))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s358, s359)) | trans(s358, s359))),
% 17.54/12.35 inference(rewrite,[status(thm)],[])).
% 17.54/12.35 tff(28702,plain,
% 17.54/12.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s358, s359)) | trans(s358, s359))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28703,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s358, s359)) | trans(s358, s359)),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28702, 28701])).
% 17.54/12.36 tff(28704,plain,
% 17.54/12.36 (trans(s358, s359)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28703, 28700, 32])).
% 17.54/12.36 tff(28705,plain,
% 17.54/12.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s358, s359)) | node14(s358, s359))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s358, s359)) | node14(s358, s359))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28706,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s358, s359)) | node14(s358, s359))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28707,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s358, s359)) | node14(s358, s359)),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28706, 28705])).
% 17.54/12.36 tff(28708,plain,
% 17.54/12.36 (node14(s358, s359)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28707, 46, 28704])).
% 17.54/12.36 tff(28709,plain,
% 17.54/12.36 (((~![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(s358, c_c2) | node9(s358) | node8(s358) | node10(s358) | node11(s358) | node12(s358) | node13(s358, s359) | (~node14(s358, s359)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s358, c_c2) | node9(s358) | node8(s358) | node10(s358) | node11(s358) | node12(s358) | node13(s358, s359) | (~node14(s358, s359)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28710,plain,
% 17.54/12.36 ((~![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(s358, c_c2) | node9(s358) | node8(s358) | node10(s358) | node11(s358) | node12(s358) | node13(s358, s359) | (~node14(s358, s359)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28711,plain,
% 17.54/12.36 ((~![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(s358, c_c2) | node9(s358) | node8(s358) | node10(s358) | node11(s358) | node12(s358) | node13(s358, s359) | (~node14(s358, s359))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28710, 28709])).
% 17.54/12.36 tff(28712,plain,
% 17.54/12.36 (m_main_v_state2(s358, c_c2) | node9(s358) | node8(s358) | node10(s358) | node11(s358) | node12(s358) | node13(s358, s359)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28711, 296, 28708])).
% 17.54/12.36 tff(28713,plain,
% 17.54/12.36 (node13(s358, s359)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28712, 28697, 28654, 28650, 28646, 28642, 28625])).
% 17.54/12.36 tff(28714,plain,
% 17.54/12.36 (((~![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(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28715,plain,
% 17.54/12.36 (((~node13(s358, s359)) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2))) <=> (m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28716,plain,
% 17.54/12.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s358, s359)) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, 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(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359))))),
% 17.54/12.36 inference(monotonicity,[status(thm)],[28715])).
% 17.54/12.36 tff(28717,plain,
% 17.54/12.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s358, s359)) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, 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(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359)))),
% 17.54/12.36 inference(transitivity,[status(thm)],[28716, 28714])).
% 17.54/12.36 tff(28718,plain,
% 17.54/12.36 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s358, s359)) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28719,plain,
% 17.54/12.36 ((~![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(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28718, 28717])).
% 17.54/12.36 tff(28720,plain,
% 17.54/12.36 (~m_main_v_state2(s359, c_n2)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28719, 311, 28638, 28713])).
% 17.54/12.36 tff(28721,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s359, c_n2) | (~node9(s359)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s359, c_n2) | (~node9(s359)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28722,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s359, c_n2) | (~node9(s359)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28723,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s359, c_n2) | (~node9(s359))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28722, 28721])).
% 17.54/12.36 tff(28724,plain,
% 17.54/12.36 (~node9(s359)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28723, 88, 28720])).
% 17.54/12.36 tff(28725,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s359, c_n2) | (~node10(s359)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s359, c_n2) | (~node10(s359)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28726,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s359, c_n2) | (~node10(s359)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28727,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s359, c_n2) | (~node10(s359))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28726, 28725])).
% 17.54/12.36 tff(28728,plain,
% 17.54/12.36 (~node10(s359)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28727, 249, 28720])).
% 17.54/12.36 tff(28729,plain,
% 17.54/12.36 (((~![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(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28730,plain,
% 17.54/12.36 (((~node13(s358, s359)) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2)) <=> ((~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28731,plain,
% 17.54/12.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s358, s359)) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, 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(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359))))),
% 17.54/12.36 inference(monotonicity,[status(thm)],[28730])).
% 17.54/12.36 tff(28732,plain,
% 17.54/12.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s358, s359)) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, 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(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359)))),
% 17.54/12.36 inference(transitivity,[status(thm)],[28731, 28729])).
% 17.54/12.36 tff(28733,plain,
% 17.54/12.36 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s358, s359)) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28734,plain,
% 17.54/12.36 ((~![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(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28733, 28732])).
% 17.54/12.36 tff(28735,plain,
% 17.54/12.36 (m_main_v_state2(s359, c_t2)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28734, 518, 28634, 28713])).
% 17.54/12.36 tff(28736,plain,
% 17.54/12.36 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s358, c_t1)) | (~m_main_v_state1(s358, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s358, c_t1)) | (~m_main_v_state1(s358, c_c1)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28737,plain,
% 17.54/12.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s358, c_t1)) | (~m_main_v_state1(s358, c_c1)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28738,plain,
% 17.54/12.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s358, c_t1)) | (~m_main_v_state1(s358, c_c1))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28737, 28736])).
% 17.54/12.36 tff(28739,plain,
% 17.54/12.36 (~m_main_v_state1(s358, c_t1)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28738, 539, 28689])).
% 17.54/12.36 tff(28740,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s358, c_t1) | (~node5(s358)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s358, c_t1) | (~node5(s358)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28741,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s358, c_t1) | (~node5(s358)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28742,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s358, c_t1) | (~node5(s358))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28741, 28740])).
% 17.54/12.36 tff(28743,plain,
% 17.54/12.36 (~node5(s358)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28742, 550, 28739])).
% 17.54/12.36 tff(28744,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s358, c_n2) | (~node4(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s358, c_n2) | (~node4(s358)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28745,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s358, c_n2) | (~node4(s358)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28746,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s358, c_n2) | (~node4(s358))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28745, 28744])).
% 17.54/12.36 tff(28747,plain,
% 17.54/12.36 (~node4(s358)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28746, 388, 28638])).
% 17.54/12.36 tff(28748,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s358, c_c2) | (~node3(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s358, c_c2) | (~node3(s358)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28749,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s358, c_c2) | (~node3(s358)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28750,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s358, c_c2) | (~node3(s358))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28749, 28748])).
% 17.54/12.36 tff(28751,plain,
% 17.54/12.36 (~node3(s358)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28750, 399, 28654])).
% 17.54/12.36 tff(28752,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s358, c_n2) | (~node2(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s358, c_n2) | (~node2(s358)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28753,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s358, c_n2) | (~node2(s358)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28754,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s358, c_n2) | (~node2(s358))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28753, 28752])).
% 17.54/12.36 tff(28755,plain,
% 17.54/12.36 (~node2(s358)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28754, 410, 28638])).
% 17.54/12.36 tff(28756,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s358, c_n1) | (~node1(s358)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s358, c_n1) | (~node1(s358)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28757,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s358, c_n1) | (~node1(s358)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28758,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s358, c_n1) | (~node1(s358))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28757, 28756])).
% 17.54/12.36 tff(28759,plain,
% 17.54/12.36 (~node1(s358)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28758, 421, 28693])).
% 17.54/12.36 tff(28760,plain,
% 17.54/12.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s358, s359)) | node7(s358, s359))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s358, s359)) | node7(s358, s359))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28761,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s358, s359)) | node7(s358, s359))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28762,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s358, s359)) | node7(s358, s359)),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28761, 28760])).
% 17.54/12.36 tff(28763,plain,
% 17.54/12.36 (node7(s358, s359)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28762, 206, 28704])).
% 17.54/12.36 tff(28764,plain,
% 17.54/12.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28765,plain,
% 17.54/12.36 (((~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)) | m_main_v_state1(s359, c_n1)) <=> (m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28766,plain,
% 17.54/12.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)) | m_main_v_state1(s359, 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(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359))))),
% 17.54/12.36 inference(monotonicity,[status(thm)],[28765])).
% 17.54/12.36 tff(28767,plain,
% 17.54/12.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)) | m_main_v_state1(s359, 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(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)))),
% 17.54/12.36 inference(transitivity,[status(thm)],[28766, 28764])).
% 17.54/12.36 tff(28768,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)) | m_main_v_state1(s359, c_n1))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28769,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 17.54/12.36 tff(28770,plain,
% 17.54/12.36 (m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28769, 584, 28763])).
% 17.54/12.36 tff(28771,plain,
% 17.54/12.36 (m_main_v_state1(s359, c_n1)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28770, 28759, 28689, 28755, 28751, 28747, 28743])).
% 17.54/12.36 tff(28772,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s359, c_n2) | (~node8(s359)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s359, c_n2) | (~node8(s359)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28773,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s359, c_n2) | (~node8(s359)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28774,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s359, c_n2) | (~node8(s359))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28773, 28772])).
% 17.54/12.36 tff(28775,plain,
% 17.54/12.36 (~node8(s359)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28774, 271, 28720])).
% 17.54/12.36 tff(28776,plain,
% 17.54/12.36 (succ(s359, s360) <=> succ(s359, s360)),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28777,axiom,(succ(s359, s360)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound360')).
% 17.54/12.36 tff(28778,plain,
% 17.54/12.36 (succ(s359, s360)),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28777, 28776])).
% 17.54/12.36 tff(28779,plain,
% 17.54/12.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s359, s360)) | trans(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s359, s360)) | trans(s359, s360))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28780,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s359, s360)) | trans(s359, s360))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28781,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s359, s360)) | trans(s359, s360)),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28780, 28779])).
% 17.54/12.36 tff(28782,plain,
% 17.54/12.36 (trans(s359, s360)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28781, 28778, 32])).
% 17.54/12.36 tff(28783,plain,
% 17.54/12.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s359, s360)) | node14(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s359, s360)) | node14(s359, s360))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28784,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s359, s360)) | node14(s359, s360))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28785,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s359, s360)) | node14(s359, s360)),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28784, 28783])).
% 17.54/12.36 tff(28786,plain,
% 17.54/12.36 (node14(s359, s360)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28785, 46, 28782])).
% 17.54/12.36 tff(28787,plain,
% 17.54/12.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | node9(s359) | node8(s359) | node10(s359) | (~node14(s359, s360)) | m_main_v_state2(s360, 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(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | node9(s359) | node8(s359) | node10(s359) | (~node14(s359, s360)) | m_main_v_state2(s360, c_c2))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28788,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | node9(s359) | node8(s359) | node10(s359) | (~node14(s359, s360)) | m_main_v_state2(s360, c_c2))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28789,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | node9(s359) | node8(s359) | node10(s359) | (~node14(s359, s360)) | m_main_v_state2(s360, c_c2)),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28788, 28787])).
% 17.54/12.36 tff(28790,plain,
% 17.54/12.36 ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | node9(s359) | node8(s359) | node10(s359) | m_main_v_state2(s360, c_c2)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28789, 617, 28786])).
% 17.54/12.36 tff(28791,plain,
% 17.54/12.36 (m_main_v_state2(s360, c_c2)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28790, 28775, 28771, 28735, 28728, 28724])).
% 17.54/12.36 tff(28792,plain,
% 17.54/12.36 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s360, c_t2)) | (~m_main_v_state2(s360, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s360, c_t2)) | (~m_main_v_state2(s360, c_c2)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28793,plain,
% 17.54/12.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s360, c_t2)) | (~m_main_v_state2(s360, c_c2)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28794,plain,
% 17.54/12.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s360, c_t2)) | (~m_main_v_state2(s360, c_c2))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28793, 28792])).
% 17.54/12.36 tff(28795,plain,
% 17.54/12.36 (~m_main_v_state2(s360, c_t2)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28794, 260, 28791])).
% 17.54/12.36 tff(28796,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s360, c_t2) | (~node12(s360)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s360, c_t2) | (~node12(s360)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28797,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s360, c_t2) | (~node12(s360)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28798,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s360, c_t2) | (~node12(s360))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28797, 28796])).
% 17.54/12.36 tff(28799,plain,
% 17.54/12.36 (~node12(s360)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28798, 633, 28795])).
% 17.54/12.36 tff(28800,plain,
% 17.54/12.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s359, s360)) | node7(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s359, s360)) | node7(s359, s360))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28801,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s359, s360)) | node7(s359, s360))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28802,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s359, s360)) | node7(s359, s360)),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28801, 28800])).
% 17.54/12.36 tff(28803,plain,
% 17.54/12.36 (node7(s359, s360)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28802, 206, 28782])).
% 17.54/12.36 tff(28804,plain,
% 17.54/12.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node7(s359, s360)) | m_main_v_state1(s360, 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(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node7(s359, s360)) | m_main_v_state1(s360, c_t1))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28805,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node7(s359, s360)) | m_main_v_state1(s360, c_t1))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28806,plain,
% 17.54/12.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node7(s359, s360)) | m_main_v_state1(s360, c_t1)),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28805, 28804])).
% 17.54/12.36 tff(28807,plain,
% 17.54/12.36 ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | m_main_v_state1(s360, c_t1)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28806, 651, 28803])).
% 17.54/12.36 tff(28808,plain,
% 17.54/12.36 (m_main_v_state1(s360, c_t1)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28807, 28735, 28771])).
% 17.54/12.36 tff(28809,plain,
% 17.54/12.36 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s360, c_n1)) | (~m_main_v_state1(s360, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s360, c_n1)) | (~m_main_v_state1(s360, c_t1)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28810,plain,
% 17.54/12.36 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s360, c_n1)) | (~m_main_v_state1(s360, c_t1)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28811,plain,
% 17.54/12.36 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s360, c_n1)) | (~m_main_v_state1(s360, c_t1))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28810, 28809])).
% 17.54/12.36 tff(28812,plain,
% 17.54/12.36 (~m_main_v_state1(s360, c_n1)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28811, 10, 28808])).
% 17.54/12.36 tff(28813,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s360, c_n1) | (~node11(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s360, c_n1) | (~node11(s360)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28814,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s360, c_n1) | (~node11(s360)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28815,plain,
% 17.54/12.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s360, c_n1) | (~node11(s360))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28814, 28813])).
% 17.54/12.36 tff(28816,plain,
% 17.54/12.36 (~node11(s360)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28815, 238, 28812])).
% 17.54/12.36 tff(28817,plain,
% 17.54/12.36 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s360, c_t1)) | (~m_main_v_state1(s360, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s360, c_t1)) | (~m_main_v_state1(s360, c_c1)))),
% 17.54/12.36 inference(rewrite,[status(thm)],[])).
% 17.54/12.36 tff(28818,plain,
% 17.54/12.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s360, c_t1)) | (~m_main_v_state1(s360, c_c1)))),
% 17.54/12.36 inference(quant_inst,[status(thm)],[])).
% 17.54/12.36 tff(28819,plain,
% 17.54/12.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s360, c_t1)) | (~m_main_v_state1(s360, c_c1))),
% 17.54/12.36 inference(modus_ponens,[status(thm)],[28818, 28817])).
% 17.54/12.36 tff(28820,plain,
% 17.54/12.36 (~m_main_v_state1(s360, c_c1)),
% 17.54/12.36 inference(unit_resolution,[status(thm)],[28819, 539, 28808])).
% 17.54/12.36 tff(28821,plain,
% 17.54/12.36 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s360, c_c1) | (~node10(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s360, c_c1) | (~node10(s360)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28822,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s360, c_c1) | (~node10(s360)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28823,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s360, c_c1) | (~node10(s360))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28822, 28821])).
% 17.54/12.37 tff(28824,plain,
% 17.54/12.37 (~node10(s360)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28823, 675, 28820])).
% 17.54/12.37 tff(28825,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s360, c_n1) | (~node9(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s360, c_n1) | (~node9(s360)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28826,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s360, c_n1) | (~node9(s360)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28827,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s360, c_n1) | (~node9(s360))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28826, 28825])).
% 17.54/12.37 tff(28828,plain,
% 17.54/12.37 (~node9(s360)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28827, 686, 28812])).
% 17.54/12.37 tff(28829,plain,
% 17.54/12.37 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s360, c_n2)) | (~m_main_v_state2(s360, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s360, c_n2)) | (~m_main_v_state2(s360, c_c2)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28830,plain,
% 17.54/12.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s360, c_n2)) | (~m_main_v_state2(s360, c_c2)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28831,plain,
% 17.54/12.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s360, c_n2)) | (~m_main_v_state2(s360, c_c2))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28830, 28829])).
% 17.54/12.37 tff(28832,plain,
% 17.54/12.37 (~m_main_v_state2(s360, c_n2)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28831, 697, 28791])).
% 17.54/12.37 tff(28833,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s360, c_n2) | (~node8(s360)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s360, c_n2) | (~node8(s360)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28834,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s360, c_n2) | (~node8(s360)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28835,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s360, c_n2) | (~node8(s360))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28834, 28833])).
% 17.54/12.37 tff(28836,plain,
% 17.54/12.37 (~node8(s360)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28835, 271, 28832])).
% 17.54/12.37 tff(28837,plain,
% 17.54/12.37 (succ(s360, s361) <=> succ(s360, s361)),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28838,axiom,(succ(s360, s361)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound361')).
% 17.54/12.37 tff(28839,plain,
% 17.54/12.37 (succ(s360, s361)),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28838, 28837])).
% 17.54/12.37 tff(28840,plain,
% 17.54/12.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s360, s361)) | trans(s360, s361))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s360, s361)) | trans(s360, s361))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28841,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s360, s361)) | trans(s360, s361))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28842,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s360, s361)) | trans(s360, s361)),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28841, 28840])).
% 17.54/12.37 tff(28843,plain,
% 17.54/12.37 (trans(s360, s361)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28842, 28839, 32])).
% 17.54/12.37 tff(28844,plain,
% 17.54/12.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s360, s361)) | node14(s360, s361))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s360, s361)) | node14(s360, s361))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28845,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s360, s361)) | node14(s360, s361))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28846,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s360, s361)) | node14(s360, s361)),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28845, 28844])).
% 17.54/12.37 tff(28847,plain,
% 17.54/12.37 (node14(s360, s361)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28846, 46, 28843])).
% 17.54/12.37 tff(28848,plain,
% 17.54/12.37 (((~![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(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, 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(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28849,plain,
% 17.54/12.37 (((~m_main_v_state2(s360, c_c2)) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | m_main_v_state2(s361, c_n2)) <=> (m_main_v_state2(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28850,plain,
% 17.54/12.37 (((~![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(s360, c_c2)) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | m_main_v_state2(s361, 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(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2))))),
% 17.54/12.37 inference(monotonicity,[status(thm)],[28849])).
% 17.54/12.37 tff(28851,plain,
% 17.54/12.37 (((~![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(s360, c_c2)) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | m_main_v_state2(s361, 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(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2)))),
% 17.54/12.37 inference(transitivity,[status(thm)],[28850, 28848])).
% 17.54/12.37 tff(28852,plain,
% 17.54/12.37 ((~![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(s360, c_c2)) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | m_main_v_state2(s361, c_n2))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28853,plain,
% 17.54/12.37 ((~![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(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28852, 28851])).
% 17.54/12.37 tff(28854,plain,
% 17.54/12.37 (m_main_v_state2(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~m_main_v_state2(s360, c_c2))),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28853, 726, 28847])).
% 17.54/12.37 tff(28855,plain,
% 17.54/12.37 (m_main_v_state2(s361, c_n2)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28854, 28836, 28791, 28828, 28824, 28816, 28799])).
% 17.54/12.37 tff(28856,plain,
% 17.54/12.37 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_c2)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28857,plain,
% 17.54/12.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_c2)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28858,plain,
% 17.54/12.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_c2))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28857, 28856])).
% 17.54/12.37 tff(28859,plain,
% 17.54/12.37 (~m_main_v_state2(s361, c_c2)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28858, 697, 28855])).
% 17.54/12.37 tff(28860,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s361, c_c2) | (~node3(s361)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s361, c_c2) | (~node3(s361)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28861,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s361, c_c2) | (~node3(s361)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28862,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s361, c_c2) | (~node3(s361))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28861, 28860])).
% 17.54/12.37 tff(28863,plain,
% 17.54/12.37 (~node3(s361)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28862, 399, 28859])).
% 17.54/12.37 tff(28864,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s360, c_n1) | (~node1(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s360, c_n1) | (~node1(s360)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28865,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s360, c_n1) | (~node1(s360)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28866,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s360, c_n1) | (~node1(s360))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28865, 28864])).
% 17.54/12.37 tff(28867,plain,
% 17.54/12.37 (~node1(s360)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28866, 421, 28812])).
% 17.54/12.37 tff(28868,plain,
% 17.54/12.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s359, s360)) | node18(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s359, s360)) | node18(s359, s360))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28869,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s359, s360)) | node18(s359, s360))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28870,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s359, s360)) | node18(s359, s360)),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28869, 28868])).
% 17.54/12.37 tff(28871,plain,
% 17.54/12.37 (node18(s359, s360)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28870, 125, 28782])).
% 17.54/12.37 tff(28872,plain,
% 17.54/12.37 (((~![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(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node18(s359, s360)) | m_main_v_turn(s360, 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(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node18(s359, s360)) | m_main_v_turn(s360, c_2))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28873,plain,
% 17.54/12.37 ((~![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(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node18(s359, s360)) | m_main_v_turn(s360, c_2))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28874,plain,
% 17.54/12.37 ((~![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(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node18(s359, s360)) | m_main_v_turn(s360, c_2)),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28873, 28872])).
% 17.54/12.37 tff(28875,plain,
% 17.54/12.37 ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | m_main_v_turn(s360, c_2)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28874, 760, 28871])).
% 17.54/12.37 tff(28876,plain,
% 17.54/12.37 (m_main_v_turn(s360, c_2)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28875, 28735, 28771])).
% 17.54/12.37 tff(28877,plain,
% 17.54/12.37 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s360, c_1)) | (~m_main_v_turn(s360, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s360, c_1)) | (~m_main_v_turn(s360, c_2)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28878,plain,
% 17.54/12.37 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s360, c_1)) | (~m_main_v_turn(s360, c_2)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28879,plain,
% 17.54/12.37 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s360, c_1)) | (~m_main_v_turn(s360, c_2))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28878, 28877])).
% 17.54/12.37 tff(28880,plain,
% 17.54/12.37 (~m_main_v_turn(s360, c_1)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28879, 156, 28876])).
% 17.54/12.37 tff(28881,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s360, c_1) | (~node5(s360)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s360, c_1) | (~node5(s360)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28882,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s360, c_1) | (~node5(s360)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28883,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s360, c_1) | (~node5(s360))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28882, 28881])).
% 17.54/12.37 tff(28884,plain,
% 17.54/12.37 (~node5(s360)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28883, 776, 28880])).
% 17.54/12.37 tff(28885,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s360, c_n1) | (~node2(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s360, c_n1) | (~node2(s360)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28886,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s360, c_n1) | (~node2(s360)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28887,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s360, c_n1) | (~node2(s360))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28886, 28885])).
% 17.54/12.37 tff(28888,plain,
% 17.54/12.37 (~node2(s360)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28887, 787, 28812])).
% 17.54/12.37 tff(28889,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s360, c_n1) | (~node3(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s360, c_n1) | (~node3(s360)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28890,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s360, c_n1) | (~node3(s360)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28891,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s360, c_n1) | (~node3(s360))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28890, 28889])).
% 17.54/12.37 tff(28892,plain,
% 17.54/12.37 (~node3(s360)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28891, 798, 28812])).
% 17.54/12.37 tff(28893,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s360, c_n2) | (~node4(s360)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s360, c_n2) | (~node4(s360)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28894,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s360, c_n2) | (~node4(s360)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28895,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s360, c_n2) | (~node4(s360))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28894, 28893])).
% 17.54/12.37 tff(28896,plain,
% 17.54/12.37 (~node4(s360)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28895, 388, 28832])).
% 17.54/12.37 tff(28897,plain,
% 17.54/12.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s360, s361)) | node7(s360, s361))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s360, s361)) | node7(s360, s361))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28898,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s360, s361)) | node7(s360, s361))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28899,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s360, s361)) | node7(s360, s361)),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 17.54/12.37 tff(28900,plain,
% 17.54/12.37 (node7(s360, s361)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28899, 206, 28843])).
% 17.54/12.37 tff(28901,plain,
% 17.54/12.37 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s360, c_c1) | node1(s360) | node2(s360) | node3(s360) | node4(s360) | node5(s360) | node6(s360, s361) | (~node7(s360, s361)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s360, c_c1) | node1(s360) | node2(s360) | node3(s360) | node4(s360) | node5(s360) | node6(s360, s361) | (~node7(s360, s361)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28902,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s360, c_c1) | node1(s360) | node2(s360) | node3(s360) | node4(s360) | node5(s360) | node6(s360, s361) | (~node7(s360, s361)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28903,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s360, c_c1) | node1(s360) | node2(s360) | node3(s360) | node4(s360) | node5(s360) | node6(s360, s361) | (~node7(s360, s361))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28902, 28901])).
% 17.54/12.37 tff(28904,plain,
% 17.54/12.37 (m_main_v_state1(s360, c_c1) | node1(s360) | node2(s360) | node3(s360) | node4(s360) | node5(s360) | node6(s360, s361)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28903, 820, 28900])).
% 17.54/12.37 tff(28905,plain,
% 17.54/12.37 (node6(s360, s361)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28904, 28896, 28820, 28892, 28888, 28884, 28867])).
% 17.54/12.37 tff(28906,plain,
% 17.54/12.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28907,plain,
% 17.54/12.37 (((~node6(s360, s361)) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1))) <=> (m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28908,plain,
% 17.54/12.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s360, s361)) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, 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(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361))))),
% 17.54/12.37 inference(monotonicity,[status(thm)],[28907])).
% 17.54/12.37 tff(28909,plain,
% 17.54/12.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s360, s361)) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, 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(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361)))),
% 17.54/12.37 inference(transitivity,[status(thm)],[28908, 28906])).
% 17.54/12.37 tff(28910,plain,
% 17.54/12.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s360, s361)) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28911,plain,
% 17.54/12.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28910, 28909])).
% 17.54/12.37 tff(28912,plain,
% 17.54/12.37 (~m_main_v_state1(s361, c_n1)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28911, 835, 28812, 28905])).
% 17.54/12.37 tff(28913,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s361, c_n1) | (~node2(s361)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s361, c_n1) | (~node2(s361)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28914,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s361, c_n1) | (~node2(s361)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28915,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s361, c_n1) | (~node2(s361))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28914, 28913])).
% 17.54/12.37 tff(28916,plain,
% 17.54/12.37 (~node2(s361)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28915, 787, 28912])).
% 17.54/12.37 tff(28917,plain,
% 17.54/12.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28918,plain,
% 17.54/12.37 (((~node6(s360, s361)) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1)) <=> ((~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28919,plain,
% 17.54/12.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s360, s361)) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, 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(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361))))),
% 17.54/12.37 inference(monotonicity,[status(thm)],[28918])).
% 17.54/12.37 tff(28920,plain,
% 17.54/12.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s360, s361)) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, 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(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361)))),
% 17.54/12.37 inference(transitivity,[status(thm)],[28919, 28917])).
% 17.54/12.37 tff(28921,plain,
% 17.54/12.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s360, s361)) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28922,plain,
% 17.54/12.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28921, 28920])).
% 17.54/12.37 tff(28923,plain,
% 17.54/12.37 (m_main_v_state1(s361, c_t1)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28922, 856, 28808, 28905])).
% 17.54/12.37 tff(28924,plain,
% 17.54/12.37 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_t2)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28925,plain,
% 17.54/12.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_t2)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28926,plain,
% 17.54/12.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_t2))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28925, 28924])).
% 17.54/12.37 tff(28927,plain,
% 17.54/12.37 (~m_main_v_state2(s361, c_t2)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28926, 77, 28855])).
% 17.54/12.37 tff(28928,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s361, c_t2) | (~node1(s361)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s361, c_t2) | (~node1(s361)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28929,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s361, c_t2) | (~node1(s361)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28930,plain,
% 17.54/12.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s361, c_t2) | (~node1(s361))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28929, 28928])).
% 17.54/12.37 tff(28931,plain,
% 17.54/12.37 (~node1(s361)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28930, 195, 28927])).
% 17.54/12.37 tff(28932,plain,
% 17.54/12.37 (succ(s361, s362) <=> succ(s361, s362)),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28933,axiom,(succ(s361, s362)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound362')).
% 17.54/12.37 tff(28934,plain,
% 17.54/12.37 (succ(s361, s362)),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28933, 28932])).
% 17.54/12.37 tff(28935,plain,
% 17.54/12.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s361, s362)) | trans(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s361, s362)) | trans(s361, s362))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28936,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s361, s362)) | trans(s361, s362))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28937,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s361, s362)) | trans(s361, s362)),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28936, 28935])).
% 17.54/12.37 tff(28938,plain,
% 17.54/12.37 (trans(s361, s362)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28937, 28934, 32])).
% 17.54/12.37 tff(28939,plain,
% 17.54/12.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s361, s362)) | node7(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s361, s362)) | node7(s361, s362))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28940,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s361, s362)) | node7(s361, s362))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28941,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s361, s362)) | node7(s361, s362)),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28940, 28939])).
% 17.54/12.37 tff(28942,plain,
% 17.54/12.37 (node7(s361, s362)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28941, 206, 28938])).
% 17.54/12.37 tff(28943,plain,
% 17.54/12.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28944,plain,
% 17.54/12.37 (((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)) | m_main_v_state1(s362, c_c1)) <=> ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28945,plain,
% 17.54/12.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)) | m_main_v_state1(s362, 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(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362))))),
% 17.54/12.37 inference(monotonicity,[status(thm)],[28944])).
% 17.54/12.37 tff(28946,plain,
% 17.54/12.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)) | m_main_v_state1(s362, 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(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)))),
% 17.54/12.37 inference(transitivity,[status(thm)],[28945, 28943])).
% 17.54/12.37 tff(28947,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)) | m_main_v_state1(s362, c_c1))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28948,plain,
% 17.54/12.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28947, 28946])).
% 17.54/12.37 tff(28949,plain,
% 17.54/12.37 ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28948, 892, 28942])).
% 17.54/12.37 tff(28950,plain,
% 17.54/12.37 (m_main_v_state1(s362, c_c1)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28949, 28931, 28855, 28923, 28916, 28863])).
% 17.54/12.37 tff(28951,plain,
% 17.54/12.37 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s362, c_t1)) | (~m_main_v_state1(s362, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s362, c_t1)) | (~m_main_v_state1(s362, c_c1)))),
% 17.54/12.37 inference(rewrite,[status(thm)],[])).
% 17.54/12.37 tff(28952,plain,
% 17.54/12.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s362, c_t1)) | (~m_main_v_state1(s362, c_c1)))),
% 17.54/12.37 inference(quant_inst,[status(thm)],[])).
% 17.54/12.37 tff(28953,plain,
% 17.54/12.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s362, c_t1)) | (~m_main_v_state1(s362, c_c1))),
% 17.54/12.37 inference(modus_ponens,[status(thm)],[28952, 28951])).
% 17.54/12.37 tff(28954,plain,
% 17.54/12.37 (~m_main_v_state1(s362, c_t1)),
% 17.54/12.37 inference(unit_resolution,[status(thm)],[28953, 539, 28950])).
% 17.54/12.37 tff(28955,plain,
% 17.54/12.37 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s362, c_t1) | (~node5(s362)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s362, c_t1) | (~node5(s362)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28956,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s362, c_t1) | (~node5(s362)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(28957,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s362, c_t1) | (~node5(s362))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28956, 28955])).
% 17.54/12.38 tff(28958,plain,
% 17.54/12.38 (~node5(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28957, 550, 28954])).
% 17.54/12.38 tff(28959,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s361, s362)) | node14(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s361, s362)) | node14(s361, s362))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28960,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s361, s362)) | node14(s361, s362))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(28961,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s361, s362)) | node14(s361, s362)),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28960, 28959])).
% 17.54/12.38 tff(28962,plain,
% 17.54/12.38 (node14(s361, s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28961, 46, 28938])).
% 17.54/12.38 tff(28963,plain,
% 17.54/12.38 (((~![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(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | (~node14(s361, s362)) | m_main_v_state2(s362, 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(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | (~node14(s361, s362)) | m_main_v_state2(s362, c_t2))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28964,plain,
% 17.54/12.38 ((~![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(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | (~node14(s361, s362)) | m_main_v_state2(s362, c_t2))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(28965,plain,
% 17.54/12.38 ((~![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(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | (~node14(s361, s362)) | m_main_v_state2(s362, c_t2)),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28964, 28963])).
% 17.54/12.38 tff(28966,plain,
% 17.54/12.38 ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state2(s362, c_t2)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28965, 922, 28962])).
% 17.54/12.38 tff(28967,plain,
% 17.54/12.38 (m_main_v_state2(s362, c_t2)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28966, 28923, 28855])).
% 17.54/12.38 tff(28968,plain,
% 17.54/12.38 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s362, c_n2)) | (~m_main_v_state2(s362, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s362, c_n2)) | (~m_main_v_state2(s362, c_t2)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28969,plain,
% 17.54/12.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s362, c_n2)) | (~m_main_v_state2(s362, c_t2)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(28970,plain,
% 17.54/12.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s362, c_n2)) | (~m_main_v_state2(s362, c_t2))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28969, 28968])).
% 17.54/12.38 tff(28971,plain,
% 17.54/12.38 (~m_main_v_state2(s362, c_n2)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28970, 77, 28967])).
% 17.54/12.38 tff(28972,plain,
% 17.54/12.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s362, c_n2) | (~node4(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s362, c_n2) | (~node4(s362)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28973,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s362, c_n2) | (~node4(s362)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(28974,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s362, c_n2) | (~node4(s362))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28973, 28972])).
% 17.54/12.38 tff(28975,plain,
% 17.54/12.38 (~node4(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28974, 388, 28971])).
% 17.54/12.38 tff(28976,plain,
% 17.54/12.38 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s362, c_t2)) | (~m_main_v_state2(s362, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s362, c_t2)) | (~m_main_v_state2(s362, c_c2)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28977,plain,
% 17.54/12.38 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s362, c_t2)) | (~m_main_v_state2(s362, c_c2)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(28978,plain,
% 17.54/12.38 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s362, c_t2)) | (~m_main_v_state2(s362, c_c2))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28977, 28976])).
% 17.54/12.38 tff(28979,plain,
% 17.54/12.38 (~m_main_v_state2(s362, c_c2)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28978, 260, 28967])).
% 17.54/12.38 tff(28980,plain,
% 17.54/12.38 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s362, c_c2) | (~node3(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s362, c_c2) | (~node3(s362)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28981,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s362, c_c2) | (~node3(s362)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(28982,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s362, c_c2) | (~node3(s362))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28981, 28980])).
% 17.54/12.38 tff(28983,plain,
% 17.54/12.38 (~node3(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28982, 399, 28979])).
% 17.54/12.38 tff(28984,plain,
% 17.54/12.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s362, c_n2) | (~node2(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s362, c_n2) | (~node2(s362)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28985,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s362, c_n2) | (~node2(s362)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(28986,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s362, c_n2) | (~node2(s362))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28985, 28984])).
% 17.54/12.38 tff(28987,plain,
% 17.54/12.38 (~node2(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28986, 410, 28971])).
% 17.54/12.38 tff(28988,plain,
% 17.54/12.38 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s362, c_n1)) | (~m_main_v_state1(s362, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s362, c_n1)) | (~m_main_v_state1(s362, c_c1)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28989,plain,
% 17.54/12.38 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s362, c_n1)) | (~m_main_v_state1(s362, c_c1)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(28990,plain,
% 17.54/12.38 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s362, c_n1)) | (~m_main_v_state1(s362, c_c1))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28989, 28988])).
% 17.54/12.38 tff(28991,plain,
% 17.54/12.38 (~m_main_v_state1(s362, c_n1)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28990, 454, 28950])).
% 17.54/12.38 tff(28992,plain,
% 17.54/12.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s362, c_n1) | (~node1(s362)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s362, c_n1) | (~node1(s362)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28993,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s362, c_n1) | (~node1(s362)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(28994,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s362, c_n1) | (~node1(s362))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28993, 28992])).
% 17.54/12.38 tff(28995,plain,
% 17.54/12.38 (~node1(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[28994, 421, 28991])).
% 17.54/12.38 tff(28996,plain,
% 17.54/12.38 (succ(s362, s363) <=> succ(s362, s363)),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(28997,axiom,(succ(s362, s363)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound363')).
% 17.54/12.38 tff(28998,plain,
% 17.54/12.38 (succ(s362, s363)),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[28997, 28996])).
% 17.54/12.38 tff(28999,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s362, s363)) | trans(s362, s363))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s362, s363)) | trans(s362, s363))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29000,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s362, s363)) | trans(s362, s363))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29001,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s362, s363)) | trans(s362, s363)),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29000, 28999])).
% 17.54/12.38 tff(29002,plain,
% 17.54/12.38 (trans(s362, s363)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29001, 28998, 32])).
% 17.54/12.38 tff(29003,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s362, s363)) | node7(s362, s363))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s362, s363)) | node7(s362, s363))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29004,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s362, s363)) | node7(s362, s363))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29005,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s362, s363)) | node7(s362, s363)),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29004, 29003])).
% 17.54/12.38 tff(29006,plain,
% 17.54/12.38 (node7(s362, s363)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29005, 206, 29002])).
% 17.54/12.38 tff(29007,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29008,plain,
% 17.54/12.38 (((~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)) | m_main_v_state1(s363, c_n1)) <=> (m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29009,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)) | m_main_v_state1(s363, 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(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363))))),
% 17.54/12.38 inference(monotonicity,[status(thm)],[29008])).
% 17.54/12.38 tff(29010,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)) | m_main_v_state1(s363, 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(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)))),
% 17.54/12.38 inference(transitivity,[status(thm)],[29009, 29007])).
% 17.54/12.38 tff(29011,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)) | m_main_v_state1(s363, c_n1))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29012,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29011, 29010])).
% 17.54/12.38 tff(29013,plain,
% 17.54/12.38 (m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29012, 584, 29006])).
% 17.54/12.38 tff(29014,plain,
% 17.54/12.38 (m_main_v_state1(s363, c_n1)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29013, 28995, 28950, 28987, 28983, 28975, 28958])).
% 17.54/12.38 tff(29015,plain,
% 17.54/12.38 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s361, c_t2) | (~node15(s361)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s361, c_t2) | (~node15(s361)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29016,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s361, c_t2) | (~node15(s361)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29017,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s361, c_t2) | (~node15(s361))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29016, 29015])).
% 17.54/12.38 tff(29018,plain,
% 17.54/12.38 (~node15(s361)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29017, 103, 28927])).
% 17.54/12.38 tff(29019,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s361, s362)) | node18(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s361, s362)) | node18(s361, s362))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29020,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s361, s362)) | node18(s361, s362))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29021,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s361, s362)) | node18(s361, s362)),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29020, 29019])).
% 17.54/12.38 tff(29022,plain,
% 17.54/12.38 (node18(s361, s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29021, 125, 28938])).
% 17.54/12.38 tff(29023,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29024,plain,
% 17.54/12.38 (((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node15(s361) | (~node18(s361, s362)) | m_main_v_turn(s362, c_1)) <=> (node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29025,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node15(s361) | (~node18(s361, s362)) | m_main_v_turn(s362, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1)))),
% 17.54/12.38 inference(monotonicity,[status(thm)],[29024])).
% 17.54/12.38 tff(29026,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node15(s361) | (~node18(s361, s362)) | m_main_v_turn(s362, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1))),
% 17.54/12.38 inference(transitivity,[status(thm)],[29025, 29023])).
% 17.54/12.38 tff(29027,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node15(s361) | (~node18(s361, s362)) | m_main_v_turn(s362, c_1))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29028,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1)),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29027, 29026])).
% 17.54/12.38 tff(29029,plain,
% 17.54/12.38 (node15(s361) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29028, 992, 29022])).
% 17.54/12.38 tff(29030,plain,
% 17.54/12.38 (m_main_v_turn(s362, c_1)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29029, 29018, 28855, 28923])).
% 17.54/12.38 tff(29031,plain,
% 17.54/12.38 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s362, c_1)) | (~m_main_v_turn(s362, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s362, c_1)) | (~m_main_v_turn(s362, c_2)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29032,plain,
% 17.54/12.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s362, c_1)) | (~m_main_v_turn(s362, c_2)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29033,plain,
% 17.54/12.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s362, c_1)) | (~m_main_v_turn(s362, c_2))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29032, 29031])).
% 17.54/12.38 tff(29034,plain,
% 17.54/12.38 (~m_main_v_turn(s362, c_2)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29033, 156, 29030])).
% 17.54/12.38 tff(29035,plain,
% 17.54/12.38 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s362, c_2) | (~node12(s362)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s362, c_2) | (~node12(s362)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29036,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s362, c_2) | (~node12(s362)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29037,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s362, c_2) | (~node12(s362))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29036, 29035])).
% 17.54/12.38 tff(29038,plain,
% 17.54/12.38 (~node12(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29037, 184, 29034])).
% 17.54/12.38 tff(29039,plain,
% 17.54/12.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s362, c_n2) | (~node8(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s362, c_n2) | (~node8(s362)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29040,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s362, c_n2) | (~node8(s362)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29041,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s362, c_n2) | (~node8(s362))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29040, 29039])).
% 17.54/12.38 tff(29042,plain,
% 17.54/12.38 (~node8(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29041, 271, 28971])).
% 17.54/12.38 tff(29043,plain,
% 17.54/12.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s362, c_n2) | (~node9(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s362, c_n2) | (~node9(s362)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29044,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s362, c_n2) | (~node9(s362)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29045,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s362, c_n2) | (~node9(s362))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29044, 29043])).
% 17.54/12.38 tff(29046,plain,
% 17.54/12.38 (~node9(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29045, 88, 28971])).
% 17.54/12.38 tff(29047,plain,
% 17.54/12.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s362, c_n2) | (~node10(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s362, c_n2) | (~node10(s362)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29048,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s362, c_n2) | (~node10(s362)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29049,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s362, c_n2) | (~node10(s362))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29048, 29047])).
% 17.54/12.38 tff(29050,plain,
% 17.54/12.38 (~node10(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29049, 249, 28971])).
% 17.54/12.38 tff(29051,plain,
% 17.54/12.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s362, c_n1) | (~node11(s362)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s362, c_n1) | (~node11(s362)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29052,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s362, c_n1) | (~node11(s362)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29053,plain,
% 17.54/12.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s362, c_n1) | (~node11(s362))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29052, 29051])).
% 17.54/12.38 tff(29054,plain,
% 17.54/12.38 (~node11(s362)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29053, 238, 28991])).
% 17.54/12.38 tff(29055,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s362, s363)) | node14(s362, s363))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s362, s363)) | node14(s362, s363))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29056,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s362, s363)) | node14(s362, s363))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29057,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s362, s363)) | node14(s362, s363)),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29056, 29055])).
% 17.54/12.38 tff(29058,plain,
% 17.54/12.38 (node14(s362, s363)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29057, 46, 29002])).
% 17.54/12.38 tff(29059,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s362, c_c2) | node9(s362) | node8(s362) | node10(s362) | node11(s362) | node12(s362) | node13(s362, s363) | (~node14(s362, s363)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s362, c_c2) | node9(s362) | node8(s362) | node10(s362) | node11(s362) | node12(s362) | node13(s362, s363) | (~node14(s362, s363)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29060,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s362, c_c2) | node9(s362) | node8(s362) | node10(s362) | node11(s362) | node12(s362) | node13(s362, s363) | (~node14(s362, s363)))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29061,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s362, c_c2) | node9(s362) | node8(s362) | node10(s362) | node11(s362) | node12(s362) | node13(s362, s363) | (~node14(s362, s363))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29060, 29059])).
% 17.54/12.38 tff(29062,plain,
% 17.54/12.38 (m_main_v_state2(s362, c_c2) | node9(s362) | node8(s362) | node10(s362) | node11(s362) | node12(s362) | node13(s362, s363)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29061, 296, 29058])).
% 17.54/12.38 tff(29063,plain,
% 17.54/12.38 (node13(s362, s363)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29062, 29054, 28979, 29050, 29046, 29042, 29038])).
% 17.54/12.38 tff(29064,plain,
% 17.54/12.38 (((~![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(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29065,plain,
% 17.54/12.38 (((~node13(s362, s363)) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2)) <=> ((~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363)))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29066,plain,
% 17.54/12.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s362, s363)) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, 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(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363))))),
% 17.54/12.38 inference(monotonicity,[status(thm)],[29065])).
% 17.54/12.38 tff(29067,plain,
% 17.54/12.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s362, s363)) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, 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(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363)))),
% 17.54/12.38 inference(transitivity,[status(thm)],[29066, 29064])).
% 17.54/12.38 tff(29068,plain,
% 17.54/12.38 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s362, s363)) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29069,plain,
% 17.54/12.38 ((~![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(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363))),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29068, 29067])).
% 17.54/12.38 tff(29070,plain,
% 17.54/12.38 (m_main_v_state2(s363, c_t2)),
% 17.54/12.38 inference(unit_resolution,[status(thm)],[29069, 518, 28967, 29063])).
% 17.54/12.38 tff(29071,plain,
% 17.54/12.38 (succ(s363, s364) <=> succ(s363, s364)),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29072,axiom,(succ(s363, s364)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound364')).
% 17.54/12.38 tff(29073,plain,
% 17.54/12.38 (succ(s363, s364)),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29072, 29071])).
% 17.54/12.38 tff(29074,plain,
% 17.54/12.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s363, s364)) | trans(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s363, s364)) | trans(s363, s364))),
% 17.54/12.38 inference(rewrite,[status(thm)],[])).
% 17.54/12.38 tff(29075,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s363, s364)) | trans(s363, s364))),
% 17.54/12.38 inference(quant_inst,[status(thm)],[])).
% 17.54/12.38 tff(29076,plain,
% 17.54/12.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s363, s364)) | trans(s363, s364)),
% 17.54/12.38 inference(modus_ponens,[status(thm)],[29075, 29074])).
% 17.54/12.39 tff(29077,plain,
% 17.54/12.39 (trans(s363, s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29076, 29073, 32])).
% 17.54/12.39 tff(29078,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s363, s364)) | node7(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s363, s364)) | node7(s363, s364))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29079,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s363, s364)) | node7(s363, s364))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29080,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s363, s364)) | node7(s363, s364)),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29079, 29078])).
% 17.54/12.39 tff(29081,plain,
% 17.54/12.39 (node7(s363, s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29080, 206, 29077])).
% 17.54/12.39 tff(29082,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node7(s363, s364)) | m_main_v_state1(s364, 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(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node7(s363, s364)) | m_main_v_state1(s364, c_t1))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29083,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node7(s363, s364)) | m_main_v_state1(s364, c_t1))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29084,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node7(s363, s364)) | m_main_v_state1(s364, c_t1)),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29083, 29082])).
% 17.54/12.39 tff(29085,plain,
% 17.54/12.39 ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | m_main_v_state1(s364, c_t1)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29084, 651, 29081])).
% 17.54/12.39 tff(29086,plain,
% 17.54/12.39 (m_main_v_state1(s364, c_t1)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29085, 29070, 29014])).
% 17.54/12.39 tff(29087,plain,
% 17.54/12.39 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s364, c_n1)) | (~m_main_v_state1(s364, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s364, c_n1)) | (~m_main_v_state1(s364, c_t1)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29088,plain,
% 17.54/12.39 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s364, c_n1)) | (~m_main_v_state1(s364, c_t1)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29089,plain,
% 17.54/12.39 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s364, c_n1)) | (~m_main_v_state1(s364, c_t1))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29088, 29087])).
% 17.54/12.39 tff(29090,plain,
% 17.54/12.39 (~m_main_v_state1(s364, c_n1)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29089, 10, 29086])).
% 17.54/12.39 tff(29091,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s364, c_n1) | (~node1(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s364, c_n1) | (~node1(s364)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29092,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s364, c_n1) | (~node1(s364)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29093,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s364, c_n1) | (~node1(s364))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29092, 29091])).
% 17.54/12.39 tff(29094,plain,
% 17.54/12.39 (~node1(s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29093, 421, 29090])).
% 17.54/12.39 tff(29095,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s363, s364)) | node18(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s363, s364)) | node18(s363, s364))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29096,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s363, s364)) | node18(s363, s364))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29097,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s363, s364)) | node18(s363, s364)),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29096, 29095])).
% 17.54/12.39 tff(29098,plain,
% 17.54/12.39 (node18(s363, s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29097, 125, 29077])).
% 17.54/12.39 tff(29099,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node18(s363, s364)) | m_main_v_turn(s364, 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(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node18(s363, s364)) | m_main_v_turn(s364, c_2))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29100,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node18(s363, s364)) | m_main_v_turn(s364, c_2))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29101,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node18(s363, s364)) | m_main_v_turn(s364, c_2)),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29100, 29099])).
% 17.54/12.39 tff(29102,plain,
% 17.54/12.39 ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | m_main_v_turn(s364, c_2)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29101, 760, 29098])).
% 17.54/12.39 tff(29103,plain,
% 17.54/12.39 (m_main_v_turn(s364, c_2)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29102, 29070, 29014])).
% 17.54/12.39 tff(29104,plain,
% 17.54/12.39 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s364, c_1)) | (~m_main_v_turn(s364, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s364, c_1)) | (~m_main_v_turn(s364, c_2)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29105,plain,
% 17.54/12.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s364, c_1)) | (~m_main_v_turn(s364, c_2)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29106,plain,
% 17.54/12.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s364, c_1)) | (~m_main_v_turn(s364, c_2))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29105, 29104])).
% 17.54/12.39 tff(29107,plain,
% 17.54/12.39 (~m_main_v_turn(s364, c_1)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29106, 156, 29103])).
% 17.54/12.39 tff(29108,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s364, c_1) | (~node5(s364)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s364, c_1) | (~node5(s364)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29109,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s364, c_1) | (~node5(s364)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29110,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s364, c_1) | (~node5(s364))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29109, 29108])).
% 17.54/12.39 tff(29111,plain,
% 17.54/12.39 (~node5(s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29110, 776, 29107])).
% 17.54/12.39 tff(29112,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s364, c_n1) | (~node2(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s364, c_n1) | (~node2(s364)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29113,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s364, c_n1) | (~node2(s364)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29114,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s364, c_n1) | (~node2(s364))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29113, 29112])).
% 17.54/12.39 tff(29115,plain,
% 17.54/12.39 (~node2(s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29114, 787, 29090])).
% 17.54/12.39 tff(29116,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s364, c_n1) | (~node3(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s364, c_n1) | (~node3(s364)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29117,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s364, c_n1) | (~node3(s364)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29118,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s364, c_n1) | (~node3(s364))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29117, 29116])).
% 17.54/12.39 tff(29119,plain,
% 17.54/12.39 (~node3(s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29118, 798, 29090])).
% 17.54/12.39 tff(29120,plain,
% 17.54/12.39 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s364, c_t1)) | (~m_main_v_state1(s364, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s364, c_t1)) | (~m_main_v_state1(s364, c_c1)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29121,plain,
% 17.54/12.39 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s364, c_t1)) | (~m_main_v_state1(s364, c_c1)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29122,plain,
% 17.54/12.39 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s364, c_t1)) | (~m_main_v_state1(s364, c_c1))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29121, 29120])).
% 17.54/12.39 tff(29123,plain,
% 17.54/12.39 (~m_main_v_state1(s364, c_c1)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29122, 539, 29086])).
% 17.54/12.39 tff(29124,plain,
% 17.54/12.39 (((~![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(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29125,plain,
% 17.54/12.39 (((~node13(s362, s363)) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2))) <=> (m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29126,plain,
% 17.54/12.39 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s362, s363)) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, 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(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363))))),
% 17.54/12.39 inference(monotonicity,[status(thm)],[29125])).
% 17.54/12.39 tff(29127,plain,
% 17.54/12.39 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s362, s363)) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, 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(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363)))),
% 17.54/12.39 inference(transitivity,[status(thm)],[29126, 29124])).
% 17.54/12.39 tff(29128,plain,
% 17.54/12.39 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s362, s363)) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29129,plain,
% 17.54/12.39 ((~![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(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29128, 29127])).
% 17.54/12.39 tff(29130,plain,
% 17.54/12.39 (~m_main_v_state2(s363, c_n2)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29129, 311, 28971, 29063])).
% 17.54/12.39 tff(29131,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s363, c_n2) | (~node9(s363)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s363, c_n2) | (~node9(s363)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29132,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s363, c_n2) | (~node9(s363)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29133,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s363, c_n2) | (~node9(s363))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29132, 29131])).
% 17.54/12.39 tff(29134,plain,
% 17.54/12.39 (~node9(s363)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29133, 88, 29130])).
% 17.54/12.39 tff(29135,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s363, c_n2) | (~node10(s363)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s363, c_n2) | (~node10(s363)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29136,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s363, c_n2) | (~node10(s363)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29137,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s363, c_n2) | (~node10(s363))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29136, 29135])).
% 17.54/12.39 tff(29138,plain,
% 17.54/12.39 (~node10(s363)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29137, 249, 29130])).
% 17.54/12.39 tff(29139,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s363, c_n2) | (~node8(s363)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s363, c_n2) | (~node8(s363)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29140,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s363, c_n2) | (~node8(s363)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29141,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s363, c_n2) | (~node8(s363))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29140, 29139])).
% 17.54/12.39 tff(29142,plain,
% 17.54/12.39 (~node8(s363)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29141, 271, 29130])).
% 17.54/12.39 tff(29143,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s363, s364)) | node14(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s363, s364)) | node14(s363, s364))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29144,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s363, s364)) | node14(s363, s364))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29145,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s363, s364)) | node14(s363, s364)),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29144, 29143])).
% 17.54/12.39 tff(29146,plain,
% 17.54/12.39 (node14(s363, s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29145, 46, 29077])).
% 17.54/12.39 tff(29147,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | node9(s363) | node8(s363) | node10(s363) | (~node14(s363, s364)) | m_main_v_state2(s364, 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(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | node9(s363) | node8(s363) | node10(s363) | (~node14(s363, s364)) | m_main_v_state2(s364, c_c2))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29148,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | node9(s363) | node8(s363) | node10(s363) | (~node14(s363, s364)) | m_main_v_state2(s364, c_c2))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29149,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | node9(s363) | node8(s363) | node10(s363) | (~node14(s363, s364)) | m_main_v_state2(s364, c_c2)),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29148, 29147])).
% 17.54/12.39 tff(29150,plain,
% 17.54/12.39 ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | node9(s363) | node8(s363) | node10(s363) | m_main_v_state2(s364, c_c2)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29149, 617, 29146])).
% 17.54/12.39 tff(29151,plain,
% 17.54/12.39 (m_main_v_state2(s364, c_c2)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29150, 29142, 29014, 29070, 29138, 29134])).
% 17.54/12.39 tff(29152,plain,
% 17.54/12.39 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s364, c_n2)) | (~m_main_v_state2(s364, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s364, c_n2)) | (~m_main_v_state2(s364, c_c2)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29153,plain,
% 17.54/12.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s364, c_n2)) | (~m_main_v_state2(s364, c_c2)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29154,plain,
% 17.54/12.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s364, c_n2)) | (~m_main_v_state2(s364, c_c2))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29153, 29152])).
% 17.54/12.39 tff(29155,plain,
% 17.54/12.39 (~m_main_v_state2(s364, c_n2)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29154, 697, 29151])).
% 17.54/12.39 tff(29156,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s364, c_n2) | (~node4(s364)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s364, c_n2) | (~node4(s364)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29157,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s364, c_n2) | (~node4(s364)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29158,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s364, c_n2) | (~node4(s364))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29157, 29156])).
% 17.54/12.39 tff(29159,plain,
% 17.54/12.39 (~node4(s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29158, 388, 29155])).
% 17.54/12.39 tff(29160,plain,
% 17.54/12.39 (succ(s364, s365) <=> succ(s364, s365)),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29161,axiom,(succ(s364, s365)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound365')).
% 17.54/12.39 tff(29162,plain,
% 17.54/12.39 (succ(s364, s365)),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29161, 29160])).
% 17.54/12.39 tff(29163,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s364, s365)) | trans(s364, s365))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s364, s365)) | trans(s364, s365))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29164,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s364, s365)) | trans(s364, s365))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29165,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s364, s365)) | trans(s364, s365)),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29164, 29163])).
% 17.54/12.39 tff(29166,plain,
% 17.54/12.39 (trans(s364, s365)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29165, 29162, 32])).
% 17.54/12.39 tff(29167,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s364, s365)) | node7(s364, s365))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s364, s365)) | node7(s364, s365))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29168,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s364, s365)) | node7(s364, s365))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29169,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s364, s365)) | node7(s364, s365)),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29168, 29167])).
% 17.54/12.39 tff(29170,plain,
% 17.54/12.39 (node7(s364, s365)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29169, 206, 29166])).
% 17.54/12.39 tff(29171,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s364, c_c1) | node1(s364) | node2(s364) | node3(s364) | node4(s364) | node5(s364) | node6(s364, s365) | (~node7(s364, s365)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s364, c_c1) | node1(s364) | node2(s364) | node3(s364) | node4(s364) | node5(s364) | node6(s364, s365) | (~node7(s364, s365)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29172,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s364, c_c1) | node1(s364) | node2(s364) | node3(s364) | node4(s364) | node5(s364) | node6(s364, s365) | (~node7(s364, s365)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29173,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s364, c_c1) | node1(s364) | node2(s364) | node3(s364) | node4(s364) | node5(s364) | node6(s364, s365) | (~node7(s364, s365))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29172, 29171])).
% 17.54/12.39 tff(29174,plain,
% 17.54/12.39 (m_main_v_state1(s364, c_c1) | node1(s364) | node2(s364) | node3(s364) | node4(s364) | node5(s364) | node6(s364, s365)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29173, 820, 29170])).
% 17.54/12.39 tff(29175,plain,
% 17.54/12.39 (node6(s364, s365)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29174, 29159, 29123, 29119, 29115, 29111, 29094])).
% 17.54/12.39 tff(29176,plain,
% 17.54/12.39 (((~![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(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29177,plain,
% 17.54/12.39 (((~node6(s364, s365)) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1)) <=> ((~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29178,plain,
% 17.54/12.39 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s364, s365)) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, 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(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365))))),
% 17.54/12.39 inference(monotonicity,[status(thm)],[29177])).
% 17.54/12.39 tff(29179,plain,
% 17.54/12.39 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s364, s365)) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, 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(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365)))),
% 17.54/12.39 inference(transitivity,[status(thm)],[29178, 29176])).
% 17.54/12.39 tff(29180,plain,
% 17.54/12.39 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s364, s365)) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29181,plain,
% 17.54/12.39 ((~![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(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29180, 29179])).
% 17.54/12.39 tff(29182,plain,
% 17.54/12.39 (m_main_v_state1(s365, c_t1)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29181, 856, 29086, 29175])).
% 17.54/12.39 tff(29183,plain,
% 17.54/12.39 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s364, c_t2)) | (~m_main_v_state2(s364, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s364, c_t2)) | (~m_main_v_state2(s364, c_c2)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29184,plain,
% 17.54/12.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s364, c_t2)) | (~m_main_v_state2(s364, c_c2)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29185,plain,
% 17.54/12.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s364, c_t2)) | (~m_main_v_state2(s364, c_c2))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29184, 29183])).
% 17.54/12.39 tff(29186,plain,
% 17.54/12.39 (~m_main_v_state2(s364, c_t2)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29185, 260, 29151])).
% 17.54/12.39 tff(29187,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s364, c_t2) | (~node12(s364)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s364, c_t2) | (~node12(s364)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29188,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s364, c_t2) | (~node12(s364)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29189,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s364, c_t2) | (~node12(s364))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29188, 29187])).
% 17.54/12.39 tff(29190,plain,
% 17.54/12.39 (~node12(s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29189, 633, 29186])).
% 17.54/12.39 tff(29191,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s364, c_n1) | (~node11(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s364, c_n1) | (~node11(s364)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29192,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s364, c_n1) | (~node11(s364)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29193,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s364, c_n1) | (~node11(s364))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29192, 29191])).
% 17.54/12.39 tff(29194,plain,
% 17.54/12.39 (~node11(s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29193, 238, 29090])).
% 17.54/12.39 tff(29195,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s364, c_c1) | (~node10(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s364, c_c1) | (~node10(s364)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29196,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s364, c_c1) | (~node10(s364)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29197,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s364, c_c1) | (~node10(s364))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29196, 29195])).
% 17.54/12.39 tff(29198,plain,
% 17.54/12.39 (~node10(s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29197, 675, 29123])).
% 17.54/12.39 tff(29199,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s364, c_n1) | (~node9(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s364, c_n1) | (~node9(s364)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29200,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s364, c_n1) | (~node9(s364)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29201,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s364, c_n1) | (~node9(s364))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29200, 29199])).
% 17.54/12.39 tff(29202,plain,
% 17.54/12.39 (~node9(s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29201, 686, 29090])).
% 17.54/12.39 tff(29203,plain,
% 17.54/12.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s364, c_n2) | (~node8(s364)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s364, c_n2) | (~node8(s364)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29204,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s364, c_n2) | (~node8(s364)))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29205,plain,
% 17.54/12.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s364, c_n2) | (~node8(s364))),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29204, 29203])).
% 17.54/12.39 tff(29206,plain,
% 17.54/12.39 (~node8(s364)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29205, 271, 29155])).
% 17.54/12.39 tff(29207,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s364, s365)) | node14(s364, s365))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s364, s365)) | node14(s364, s365))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29208,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s364, s365)) | node14(s364, s365))),
% 17.54/12.39 inference(quant_inst,[status(thm)],[])).
% 17.54/12.39 tff(29209,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s364, s365)) | node14(s364, s365)),
% 17.54/12.39 inference(modus_ponens,[status(thm)],[29208, 29207])).
% 17.54/12.39 tff(29210,plain,
% 17.54/12.39 (node14(s364, s365)),
% 17.54/12.39 inference(unit_resolution,[status(thm)],[29209, 46, 29166])).
% 17.54/12.39 tff(29211,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, 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(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29212,plain,
% 17.54/12.39 (((~m_main_v_state2(s364, c_c2)) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | m_main_v_state2(s365, c_n2)) <=> (m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2)))),
% 17.54/12.39 inference(rewrite,[status(thm)],[])).
% 17.54/12.39 tff(29213,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s364, c_c2)) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | m_main_v_state2(s365, 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(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2))))),
% 17.54/12.39 inference(monotonicity,[status(thm)],[29212])).
% 17.54/12.39 tff(29214,plain,
% 17.54/12.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s364, c_c2)) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | m_main_v_state2(s365, 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(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2)))),
% 17.54/12.39 inference(transitivity,[status(thm)],[29213, 29211])).
% 17.54/12.39 tff(29215,plain,
% 17.54/12.39 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s364, c_c2)) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | m_main_v_state2(s365, c_n2))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29216,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29215, 29214])).
% 17.54/12.40 tff(29217,plain,
% 17.54/12.40 (m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~m_main_v_state2(s364, c_c2))),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29216, 726, 29210])).
% 17.54/12.40 tff(29218,plain,
% 17.54/12.40 (m_main_v_state2(s365, c_n2)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29217, 29206, 29151, 29202, 29198, 29194, 29190])).
% 17.54/12.40 tff(29219,plain,
% 17.54/12.40 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_t2)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29220,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_t2)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29221,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_t2))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29220, 29219])).
% 17.54/12.40 tff(29222,plain,
% 17.54/12.40 (~m_main_v_state2(s365, c_t2)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29221, 77, 29218])).
% 17.54/12.40 tff(29223,plain,
% 17.54/12.40 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s365, c_t2) | (~node15(s365)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s365, c_t2) | (~node15(s365)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29224,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s365, c_t2) | (~node15(s365)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29225,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s365, c_t2) | (~node15(s365))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29224, 29223])).
% 17.54/12.40 tff(29226,plain,
% 17.54/12.40 (~node15(s365)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29225, 103, 29222])).
% 17.54/12.40 tff(29227,plain,
% 17.54/12.40 (succ(s365, s366) <=> succ(s365, s366)),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29228,axiom,(succ(s365, s366)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound366')).
% 17.54/12.40 tff(29229,plain,
% 17.54/12.40 (succ(s365, s366)),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29228, 29227])).
% 17.54/12.40 tff(29230,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s365, s366)) | trans(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s365, s366)) | trans(s365, s366))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29231,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s365, s366)) | trans(s365, s366))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29232,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s365, s366)) | trans(s365, s366)),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29231, 29230])).
% 17.54/12.40 tff(29233,plain,
% 17.54/12.40 (trans(s365, s366)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29232, 29229, 32])).
% 17.54/12.40 tff(29234,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s365, s366)) | node18(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s365, s366)) | node18(s365, s366))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29235,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s365, s366)) | node18(s365, s366))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29236,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s365, s366)) | node18(s365, s366)),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29235, 29234])).
% 17.54/12.40 tff(29237,plain,
% 17.54/12.40 (node18(s365, s366)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29236, 125, 29233])).
% 17.54/12.40 tff(29238,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29239,plain,
% 17.54/12.40 (((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node15(s365) | (~node18(s365, s366)) | m_main_v_turn(s366, c_1)) <=> (node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29240,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node15(s365) | (~node18(s365, s366)) | m_main_v_turn(s366, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1)))),
% 17.54/12.40 inference(monotonicity,[status(thm)],[29239])).
% 17.54/12.40 tff(29241,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node15(s365) | (~node18(s365, s366)) | m_main_v_turn(s366, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1))),
% 17.54/12.40 inference(transitivity,[status(thm)],[29240, 29238])).
% 17.54/12.40 tff(29242,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node15(s365) | (~node18(s365, s366)) | m_main_v_turn(s366, c_1))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29243,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1)),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29242, 29241])).
% 17.54/12.40 tff(29244,plain,
% 17.54/12.40 (node15(s365) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29243, 992, 29237])).
% 17.54/12.40 tff(29245,plain,
% 17.54/12.40 (m_main_v_turn(s366, c_1)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29244, 29226, 29218, 29182])).
% 17.54/12.40 tff(29246,plain,
% 17.54/12.40 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s366, c_1)) | (~m_main_v_turn(s366, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s366, c_1)) | (~m_main_v_turn(s366, c_2)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29247,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s366, c_1)) | (~m_main_v_turn(s366, c_2)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29248,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s366, c_1)) | (~m_main_v_turn(s366, c_2))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29247, 29246])).
% 17.54/12.40 tff(29249,plain,
% 17.54/12.40 (~m_main_v_turn(s366, c_2)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29248, 156, 29245])).
% 17.54/12.40 tff(29250,plain,
% 17.54/12.40 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s366, c_2) | (~node12(s366)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s366, c_2) | (~node12(s366)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29251,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s366, c_2) | (~node12(s366)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29252,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s366, c_2) | (~node12(s366))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29251, 29250])).
% 17.54/12.40 tff(29253,plain,
% 17.54/12.40 (~node12(s366)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29252, 184, 29249])).
% 17.54/12.40 tff(29254,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s365, s366)) | node14(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s365, s366)) | node14(s365, s366))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29255,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s365, s366)) | node14(s365, s366))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29256,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s365, s366)) | node14(s365, s366)),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29255, 29254])).
% 17.54/12.40 tff(29257,plain,
% 17.54/12.40 (node14(s365, s366)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29256, 46, 29233])).
% 17.54/12.40 tff(29258,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | (~node14(s365, s366)) | m_main_v_state2(s366, 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(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | (~node14(s365, s366)) | m_main_v_state2(s366, c_t2))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29259,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | (~node14(s365, s366)) | m_main_v_state2(s366, c_t2))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29260,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | (~node14(s365, s366)) | m_main_v_state2(s366, c_t2)),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29259, 29258])).
% 17.54/12.40 tff(29261,plain,
% 17.54/12.40 ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state2(s366, c_t2)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29260, 922, 29257])).
% 17.54/12.40 tff(29262,plain,
% 17.54/12.40 (m_main_v_state2(s366, c_t2)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29261, 29182, 29218])).
% 17.54/12.40 tff(29263,plain,
% 17.54/12.40 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s366, c_n2)) | (~m_main_v_state2(s366, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s366, c_n2)) | (~m_main_v_state2(s366, c_t2)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29264,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s366, c_n2)) | (~m_main_v_state2(s366, c_t2)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29265,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s366, c_n2)) | (~m_main_v_state2(s366, c_t2))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29264, 29263])).
% 17.54/12.40 tff(29266,plain,
% 17.54/12.40 (~m_main_v_state2(s366, c_n2)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29265, 77, 29262])).
% 17.54/12.40 tff(29267,plain,
% 17.54/12.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s366, c_n2) | (~node8(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s366, c_n2) | (~node8(s366)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29268,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s366, c_n2) | (~node8(s366)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29269,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s366, c_n2) | (~node8(s366))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29268, 29267])).
% 17.54/12.40 tff(29270,plain,
% 17.54/12.40 (~node8(s366)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29269, 271, 29266])).
% 17.54/12.40 tff(29271,plain,
% 17.54/12.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s366, c_n2) | (~node9(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s366, c_n2) | (~node9(s366)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29272,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s366, c_n2) | (~node9(s366)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29273,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s366, c_n2) | (~node9(s366))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29272, 29271])).
% 17.54/12.40 tff(29274,plain,
% 17.54/12.40 (~node9(s366)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29273, 88, 29266])).
% 17.54/12.40 tff(29275,plain,
% 17.54/12.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s366, c_n2) | (~node10(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s366, c_n2) | (~node10(s366)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29276,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s366, c_n2) | (~node10(s366)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29277,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s366, c_n2) | (~node10(s366))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29276, 29275])).
% 17.54/12.40 tff(29278,plain,
% 17.54/12.40 (~node10(s366)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29277, 249, 29266])).
% 17.54/12.40 tff(29279,plain,
% 17.54/12.40 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s366, c_t2)) | (~m_main_v_state2(s366, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s366, c_t2)) | (~m_main_v_state2(s366, c_c2)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29280,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s366, c_t2)) | (~m_main_v_state2(s366, c_c2)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29281,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s366, c_t2)) | (~m_main_v_state2(s366, c_c2))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29280, 29279])).
% 17.54/12.40 tff(29282,plain,
% 17.54/12.40 (~m_main_v_state2(s366, c_c2)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29281, 260, 29262])).
% 17.54/12.40 tff(29283,plain,
% 17.54/12.40 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_c2)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29284,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_c2)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29285,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_c2))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29284, 29283])).
% 17.54/12.40 tff(29286,plain,
% 17.54/12.40 (~m_main_v_state2(s365, c_c2)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29285, 697, 29218])).
% 17.54/12.40 tff(29287,plain,
% 17.54/12.40 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s365, c_c2) | (~node3(s365)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s365, c_c2) | (~node3(s365)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29288,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s365, c_c2) | (~node3(s365)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29289,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s365, c_c2) | (~node3(s365))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29288, 29287])).
% 17.54/12.40 tff(29290,plain,
% 17.54/12.40 (~node3(s365)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29289, 399, 29286])).
% 17.54/12.40 tff(29291,plain,
% 17.54/12.40 (((~![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(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29292,plain,
% 17.54/12.40 (((~node6(s364, s365)) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1))) <=> (m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29293,plain,
% 17.54/12.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s364, s365)) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, 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(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365))))),
% 17.54/12.40 inference(monotonicity,[status(thm)],[29292])).
% 17.54/12.40 tff(29294,plain,
% 17.54/12.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s364, s365)) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, 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(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365)))),
% 17.54/12.40 inference(transitivity,[status(thm)],[29293, 29291])).
% 17.54/12.40 tff(29295,plain,
% 17.54/12.40 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s364, s365)) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29296,plain,
% 17.54/12.40 ((~![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(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29295, 29294])).
% 17.54/12.40 tff(29297,plain,
% 17.54/12.40 (~m_main_v_state1(s365, c_n1)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29296, 835, 29090, 29175])).
% 17.54/12.40 tff(29298,plain,
% 17.54/12.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s365, c_n1) | (~node2(s365)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s365, c_n1) | (~node2(s365)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29299,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s365, c_n1) | (~node2(s365)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29300,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s365, c_n1) | (~node2(s365))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29299, 29298])).
% 17.54/12.40 tff(29301,plain,
% 17.54/12.40 (~node2(s365)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29300, 787, 29297])).
% 17.54/12.40 tff(29302,plain,
% 17.54/12.40 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s365, c_t2) | (~node1(s365)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s365, c_t2) | (~node1(s365)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29303,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s365, c_t2) | (~node1(s365)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29304,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s365, c_t2) | (~node1(s365))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29303, 29302])).
% 17.54/12.40 tff(29305,plain,
% 17.54/12.40 (~node1(s365)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29304, 195, 29222])).
% 17.54/12.40 tff(29306,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s365, s366)) | node7(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s365, s366)) | node7(s365, s366))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29307,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s365, s366)) | node7(s365, s366))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29308,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s365, s366)) | node7(s365, s366)),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29307, 29306])).
% 17.54/12.40 tff(29309,plain,
% 17.54/12.40 (node7(s365, s366)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29308, 206, 29233])).
% 17.54/12.40 tff(29310,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29311,plain,
% 17.54/12.40 (((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)) | m_main_v_state1(s366, c_c1)) <=> ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29312,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)) | m_main_v_state1(s366, 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(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366))))),
% 17.54/12.40 inference(monotonicity,[status(thm)],[29311])).
% 17.54/12.40 tff(29313,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)) | m_main_v_state1(s366, 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(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)))),
% 17.54/12.40 inference(transitivity,[status(thm)],[29312, 29310])).
% 17.54/12.40 tff(29314,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)) | m_main_v_state1(s366, c_c1))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29315,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29314, 29313])).
% 17.54/12.40 tff(29316,plain,
% 17.54/12.40 ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29315, 892, 29309])).
% 17.54/12.40 tff(29317,plain,
% 17.54/12.40 (m_main_v_state1(s366, c_c1)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29316, 29305, 29218, 29182, 29301, 29290])).
% 17.54/12.40 tff(29318,plain,
% 17.54/12.40 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s366, c_n1)) | (~m_main_v_state1(s366, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s366, c_n1)) | (~m_main_v_state1(s366, c_c1)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29319,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s366, c_n1)) | (~m_main_v_state1(s366, c_c1)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29320,plain,
% 17.54/12.40 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s366, c_n1)) | (~m_main_v_state1(s366, c_c1))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29319, 29318])).
% 17.54/12.40 tff(29321,plain,
% 17.54/12.40 (~m_main_v_state1(s366, c_n1)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29320, 454, 29317])).
% 17.54/12.40 tff(29322,plain,
% 17.54/12.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s366, c_n1) | (~node11(s366)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s366, c_n1) | (~node11(s366)))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29323,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s366, c_n1) | (~node11(s366)))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29324,plain,
% 17.54/12.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s366, c_n1) | (~node11(s366))),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29323, 29322])).
% 17.54/12.40 tff(29325,plain,
% 17.54/12.40 (~node11(s366)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29324, 238, 29321])).
% 17.54/12.40 tff(29326,plain,
% 17.54/12.40 (succ(s366, s367) <=> succ(s366, s367)),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29327,axiom,(succ(s366, s367)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound367')).
% 17.54/12.40 tff(29328,plain,
% 17.54/12.40 (succ(s366, s367)),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29327, 29326])).
% 17.54/12.40 tff(29329,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s366, s367)) | trans(s366, s367))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s366, s367)) | trans(s366, s367))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29330,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s366, s367)) | trans(s366, s367))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29331,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s366, s367)) | trans(s366, s367)),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29330, 29329])).
% 17.54/12.40 tff(29332,plain,
% 17.54/12.40 (trans(s366, s367)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29331, 29328, 32])).
% 17.54/12.40 tff(29333,plain,
% 17.54/12.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s366, s367)) | node14(s366, s367))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s366, s367)) | node14(s366, s367))),
% 17.54/12.40 inference(rewrite,[status(thm)],[])).
% 17.54/12.40 tff(29334,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s366, s367)) | node14(s366, s367))),
% 17.54/12.40 inference(quant_inst,[status(thm)],[])).
% 17.54/12.40 tff(29335,plain,
% 17.54/12.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s366, s367)) | node14(s366, s367)),
% 17.54/12.40 inference(modus_ponens,[status(thm)],[29334, 29333])).
% 17.54/12.40 tff(29336,plain,
% 17.54/12.40 (node14(s366, s367)),
% 17.54/12.40 inference(unit_resolution,[status(thm)],[29335, 46, 29332])).
% 17.54/12.40 tff(29337,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s366, c_c2) | node9(s366) | node8(s366) | node10(s366) | node11(s366) | node12(s366) | node13(s366, s367) | (~node14(s366, s367)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s366, c_c2) | node9(s366) | node8(s366) | node10(s366) | node11(s366) | node12(s366) | node13(s366, s367) | (~node14(s366, s367)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29338,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s366, c_c2) | node9(s366) | node8(s366) | node10(s366) | node11(s366) | node12(s366) | node13(s366, s367) | (~node14(s366, s367)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29339,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s366, c_c2) | node9(s366) | node8(s366) | node10(s366) | node11(s366) | node12(s366) | node13(s366, s367) | (~node14(s366, s367))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29338, 29337])).
% 17.54/12.41 tff(29340,plain,
% 17.54/12.41 (m_main_v_state2(s366, c_c2) | node9(s366) | node8(s366) | node10(s366) | node11(s366) | node12(s366) | node13(s366, s367)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29339, 296, 29336])).
% 17.54/12.41 tff(29341,plain,
% 17.54/12.41 (node13(s366, s367)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29340, 29325, 29282, 29278, 29274, 29270, 29253])).
% 17.54/12.41 tff(29342,plain,
% 17.54/12.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29343,plain,
% 17.54/12.41 (((~node13(s366, s367)) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2))) <=> (m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29344,plain,
% 17.54/12.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s366, s367)) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, 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(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367))))),
% 17.54/12.41 inference(monotonicity,[status(thm)],[29343])).
% 17.54/12.41 tff(29345,plain,
% 17.54/12.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s366, s367)) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, 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(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367)))),
% 17.54/12.41 inference(transitivity,[status(thm)],[29344, 29342])).
% 17.54/12.41 tff(29346,plain,
% 17.54/12.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s366, s367)) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29347,plain,
% 17.54/12.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29346, 29345])).
% 17.54/12.41 tff(29348,plain,
% 17.54/12.41 (~m_main_v_state2(s367, c_n2)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29347, 311, 29266, 29341])).
% 17.54/12.41 tff(29349,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s367, c_n2) | (~node9(s367)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s367, c_n2) | (~node9(s367)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29350,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s367, c_n2) | (~node9(s367)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29351,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s367, c_n2) | (~node9(s367))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29350, 29349])).
% 17.54/12.41 tff(29352,plain,
% 17.54/12.41 (~node9(s367)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29351, 88, 29348])).
% 17.54/12.41 tff(29353,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s367, c_n2) | (~node10(s367)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s367, c_n2) | (~node10(s367)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29354,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s367, c_n2) | (~node10(s367)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29355,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s367, c_n2) | (~node10(s367))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29354, 29353])).
% 17.54/12.41 tff(29356,plain,
% 17.54/12.41 (~node10(s367)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29355, 249, 29348])).
% 17.54/12.41 tff(29357,plain,
% 17.54/12.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29358,plain,
% 17.54/12.41 (((~node13(s366, s367)) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2)) <=> ((~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29359,plain,
% 17.54/12.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s366, s367)) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, 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(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367))))),
% 17.54/12.41 inference(monotonicity,[status(thm)],[29358])).
% 17.54/12.41 tff(29360,plain,
% 17.54/12.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s366, s367)) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, 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(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367)))),
% 17.54/12.41 inference(transitivity,[status(thm)],[29359, 29357])).
% 17.54/12.41 tff(29361,plain,
% 17.54/12.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s366, s367)) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29362,plain,
% 17.54/12.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29361, 29360])).
% 17.54/12.41 tff(29363,plain,
% 17.54/12.41 (m_main_v_state2(s367, c_t2)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29362, 518, 29262, 29341])).
% 17.54/12.41 tff(29364,plain,
% 17.54/12.41 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s366, c_t1)) | (~m_main_v_state1(s366, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s366, c_t1)) | (~m_main_v_state1(s366, c_c1)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29365,plain,
% 17.54/12.41 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s366, c_t1)) | (~m_main_v_state1(s366, c_c1)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29366,plain,
% 17.54/12.41 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s366, c_t1)) | (~m_main_v_state1(s366, c_c1))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29365, 29364])).
% 17.54/12.41 tff(29367,plain,
% 17.54/12.41 (~m_main_v_state1(s366, c_t1)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29366, 539, 29317])).
% 17.54/12.41 tff(29368,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s366, c_t1) | (~node5(s366)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s366, c_t1) | (~node5(s366)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29369,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s366, c_t1) | (~node5(s366)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29370,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s366, c_t1) | (~node5(s366))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29369, 29368])).
% 17.54/12.41 tff(29371,plain,
% 17.54/12.41 (~node5(s366)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29370, 550, 29367])).
% 17.54/12.41 tff(29372,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s366, c_n2) | (~node4(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s366, c_n2) | (~node4(s366)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29373,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s366, c_n2) | (~node4(s366)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29374,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s366, c_n2) | (~node4(s366))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29373, 29372])).
% 17.54/12.41 tff(29375,plain,
% 17.54/12.41 (~node4(s366)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29374, 388, 29266])).
% 17.54/12.41 tff(29376,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s366, c_c2) | (~node3(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s366, c_c2) | (~node3(s366)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29377,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s366, c_c2) | (~node3(s366)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29378,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s366, c_c2) | (~node3(s366))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29377, 29376])).
% 17.54/12.41 tff(29379,plain,
% 17.54/12.41 (~node3(s366)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29378, 399, 29282])).
% 17.54/12.41 tff(29380,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s366, c_n2) | (~node2(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s366, c_n2) | (~node2(s366)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29381,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s366, c_n2) | (~node2(s366)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29382,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s366, c_n2) | (~node2(s366))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29381, 29380])).
% 17.54/12.41 tff(29383,plain,
% 17.54/12.41 (~node2(s366)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29382, 410, 29266])).
% 17.54/12.41 tff(29384,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s366, c_n1) | (~node1(s366)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s366, c_n1) | (~node1(s366)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29385,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s366, c_n1) | (~node1(s366)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29386,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s366, c_n1) | (~node1(s366))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29385, 29384])).
% 17.54/12.41 tff(29387,plain,
% 17.54/12.41 (~node1(s366)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29386, 421, 29321])).
% 17.54/12.41 tff(29388,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s366, s367)) | node7(s366, s367))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s366, s367)) | node7(s366, s367))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29389,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s366, s367)) | node7(s366, s367))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29390,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s366, s367)) | node7(s366, s367)),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29389, 29388])).
% 17.54/12.41 tff(29391,plain,
% 17.54/12.41 (node7(s366, s367)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29390, 206, 29332])).
% 17.54/12.41 tff(29392,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29393,plain,
% 17.54/12.41 (((~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)) | m_main_v_state1(s367, c_n1)) <=> (m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29394,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)) | m_main_v_state1(s367, 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(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367))))),
% 17.54/12.41 inference(monotonicity,[status(thm)],[29393])).
% 17.54/12.41 tff(29395,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)) | m_main_v_state1(s367, 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(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)))),
% 17.54/12.41 inference(transitivity,[status(thm)],[29394, 29392])).
% 17.54/12.41 tff(29396,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)) | m_main_v_state1(s367, c_n1))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29397,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29396, 29395])).
% 17.54/12.41 tff(29398,plain,
% 17.54/12.41 (m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29397, 584, 29391])).
% 17.54/12.41 tff(29399,plain,
% 17.54/12.41 (m_main_v_state1(s367, c_n1)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29398, 29387, 29317, 29383, 29379, 29375, 29371])).
% 17.54/12.41 tff(29400,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s367, c_n2) | (~node8(s367)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s367, c_n2) | (~node8(s367)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29401,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s367, c_n2) | (~node8(s367)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29402,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s367, c_n2) | (~node8(s367))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29401, 29400])).
% 17.54/12.41 tff(29403,plain,
% 17.54/12.41 (~node8(s367)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29402, 271, 29348])).
% 17.54/12.41 tff(29404,plain,
% 17.54/12.41 (succ(s367, s368) <=> succ(s367, s368)),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29405,axiom,(succ(s367, s368)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound368')).
% 17.54/12.41 tff(29406,plain,
% 17.54/12.41 (succ(s367, s368)),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29405, 29404])).
% 17.54/12.41 tff(29407,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s367, s368)) | trans(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s367, s368)) | trans(s367, s368))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29408,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s367, s368)) | trans(s367, s368))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29409,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s367, s368)) | trans(s367, s368)),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29408, 29407])).
% 17.54/12.41 tff(29410,plain,
% 17.54/12.41 (trans(s367, s368)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29409, 29406, 32])).
% 17.54/12.41 tff(29411,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s367, s368)) | node14(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s367, s368)) | node14(s367, s368))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29412,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s367, s368)) | node14(s367, s368))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29413,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s367, s368)) | node14(s367, s368)),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29412, 29411])).
% 17.54/12.41 tff(29414,plain,
% 17.54/12.41 (node14(s367, s368)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29413, 46, 29410])).
% 17.54/12.41 tff(29415,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | node9(s367) | node8(s367) | node10(s367) | (~node14(s367, s368)) | m_main_v_state2(s368, 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(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | node9(s367) | node8(s367) | node10(s367) | (~node14(s367, s368)) | m_main_v_state2(s368, c_c2))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29416,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | node9(s367) | node8(s367) | node10(s367) | (~node14(s367, s368)) | m_main_v_state2(s368, c_c2))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29417,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | node9(s367) | node8(s367) | node10(s367) | (~node14(s367, s368)) | m_main_v_state2(s368, c_c2)),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29416, 29415])).
% 17.54/12.41 tff(29418,plain,
% 17.54/12.41 ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | node9(s367) | node8(s367) | node10(s367) | m_main_v_state2(s368, c_c2)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29417, 617, 29414])).
% 17.54/12.41 tff(29419,plain,
% 17.54/12.41 (m_main_v_state2(s368, c_c2)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29418, 29403, 29399, 29363, 29356, 29352])).
% 17.54/12.41 tff(29420,plain,
% 17.54/12.41 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s368, c_t2)) | (~m_main_v_state2(s368, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s368, c_t2)) | (~m_main_v_state2(s368, c_c2)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29421,plain,
% 17.54/12.41 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s368, c_t2)) | (~m_main_v_state2(s368, c_c2)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29422,plain,
% 17.54/12.41 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s368, c_t2)) | (~m_main_v_state2(s368, c_c2))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29421, 29420])).
% 17.54/12.41 tff(29423,plain,
% 17.54/12.41 (~m_main_v_state2(s368, c_t2)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29422, 260, 29419])).
% 17.54/12.41 tff(29424,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s368, c_t2) | (~node12(s368)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s368, c_t2) | (~node12(s368)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29425,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s368, c_t2) | (~node12(s368)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29426,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s368, c_t2) | (~node12(s368))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29425, 29424])).
% 17.54/12.41 tff(29427,plain,
% 17.54/12.41 (~node12(s368)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29426, 633, 29423])).
% 17.54/12.41 tff(29428,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s367, s368)) | node7(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s367, s368)) | node7(s367, s368))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29429,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s367, s368)) | node7(s367, s368))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29430,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s367, s368)) | node7(s367, s368)),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29429, 29428])).
% 17.54/12.41 tff(29431,plain,
% 17.54/12.41 (node7(s367, s368)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29430, 206, 29410])).
% 17.54/12.41 tff(29432,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node7(s367, s368)) | m_main_v_state1(s368, 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(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node7(s367, s368)) | m_main_v_state1(s368, c_t1))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29433,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node7(s367, s368)) | m_main_v_state1(s368, c_t1))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29434,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node7(s367, s368)) | m_main_v_state1(s368, c_t1)),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29433, 29432])).
% 17.54/12.41 tff(29435,plain,
% 17.54/12.41 ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | m_main_v_state1(s368, c_t1)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29434, 651, 29431])).
% 17.54/12.41 tff(29436,plain,
% 17.54/12.41 (m_main_v_state1(s368, c_t1)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29435, 29363, 29399])).
% 17.54/12.41 tff(29437,plain,
% 17.54/12.41 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s368, c_n1)) | (~m_main_v_state1(s368, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s368, c_n1)) | (~m_main_v_state1(s368, c_t1)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29438,plain,
% 17.54/12.41 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s368, c_n1)) | (~m_main_v_state1(s368, c_t1)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29439,plain,
% 17.54/12.41 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s368, c_n1)) | (~m_main_v_state1(s368, c_t1))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29438, 29437])).
% 17.54/12.41 tff(29440,plain,
% 17.54/12.41 (~m_main_v_state1(s368, c_n1)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29439, 10, 29436])).
% 17.54/12.41 tff(29441,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s368, c_n1) | (~node11(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s368, c_n1) | (~node11(s368)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29442,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s368, c_n1) | (~node11(s368)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29443,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s368, c_n1) | (~node11(s368))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29442, 29441])).
% 17.54/12.41 tff(29444,plain,
% 17.54/12.41 (~node11(s368)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29443, 238, 29440])).
% 17.54/12.41 tff(29445,plain,
% 17.54/12.41 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s368, c_t1)) | (~m_main_v_state1(s368, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s368, c_t1)) | (~m_main_v_state1(s368, c_c1)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29446,plain,
% 17.54/12.41 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s368, c_t1)) | (~m_main_v_state1(s368, c_c1)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29447,plain,
% 17.54/12.41 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s368, c_t1)) | (~m_main_v_state1(s368, c_c1))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29446, 29445])).
% 17.54/12.41 tff(29448,plain,
% 17.54/12.41 (~m_main_v_state1(s368, c_c1)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29447, 539, 29436])).
% 17.54/12.41 tff(29449,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s368, c_c1) | (~node10(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s368, c_c1) | (~node10(s368)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29450,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s368, c_c1) | (~node10(s368)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29451,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s368, c_c1) | (~node10(s368))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29450, 29449])).
% 17.54/12.41 tff(29452,plain,
% 17.54/12.41 (~node10(s368)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29451, 675, 29448])).
% 17.54/12.41 tff(29453,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s368, c_n1) | (~node9(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s368, c_n1) | (~node9(s368)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29454,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s368, c_n1) | (~node9(s368)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29455,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s368, c_n1) | (~node9(s368))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29454, 29453])).
% 17.54/12.41 tff(29456,plain,
% 17.54/12.41 (~node9(s368)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29455, 686, 29440])).
% 17.54/12.41 tff(29457,plain,
% 17.54/12.41 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s368, c_n2)) | (~m_main_v_state2(s368, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s368, c_n2)) | (~m_main_v_state2(s368, c_c2)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29458,plain,
% 17.54/12.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s368, c_n2)) | (~m_main_v_state2(s368, c_c2)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29459,plain,
% 17.54/12.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s368, c_n2)) | (~m_main_v_state2(s368, c_c2))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29458, 29457])).
% 17.54/12.41 tff(29460,plain,
% 17.54/12.41 (~m_main_v_state2(s368, c_n2)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29459, 697, 29419])).
% 17.54/12.41 tff(29461,plain,
% 17.54/12.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s368, c_n2) | (~node8(s368)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s368, c_n2) | (~node8(s368)))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29462,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s368, c_n2) | (~node8(s368)))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29463,plain,
% 17.54/12.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s368, c_n2) | (~node8(s368))),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29462, 29461])).
% 17.54/12.41 tff(29464,plain,
% 17.54/12.41 (~node8(s368)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29463, 271, 29460])).
% 17.54/12.41 tff(29465,plain,
% 17.54/12.41 (succ(s368, s369) <=> succ(s368, s369)),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29466,axiom,(succ(s368, s369)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound369')).
% 17.54/12.41 tff(29467,plain,
% 17.54/12.41 (succ(s368, s369)),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29466, 29465])).
% 17.54/12.41 tff(29468,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s368, s369)) | trans(s368, s369))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s368, s369)) | trans(s368, s369))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29469,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s368, s369)) | trans(s368, s369))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29470,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s368, s369)) | trans(s368, s369)),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29469, 29468])).
% 17.54/12.41 tff(29471,plain,
% 17.54/12.41 (trans(s368, s369)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29470, 29467, 32])).
% 17.54/12.41 tff(29472,plain,
% 17.54/12.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s368, s369)) | node14(s368, s369))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s368, s369)) | node14(s368, s369))),
% 17.54/12.41 inference(rewrite,[status(thm)],[])).
% 17.54/12.41 tff(29473,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s368, s369)) | node14(s368, s369))),
% 17.54/12.41 inference(quant_inst,[status(thm)],[])).
% 17.54/12.41 tff(29474,plain,
% 17.54/12.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s368, s369)) | node14(s368, s369)),
% 17.54/12.41 inference(modus_ponens,[status(thm)],[29473, 29472])).
% 17.54/12.41 tff(29475,plain,
% 17.54/12.41 (node14(s368, s369)),
% 17.54/12.41 inference(unit_resolution,[status(thm)],[29474, 46, 29471])).
% 17.54/12.41 tff(29476,plain,
% 17.54/12.41 (((~![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(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, 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(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29477,plain,
% 17.54/12.42 (((~m_main_v_state2(s368, c_c2)) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | m_main_v_state2(s369, c_n2)) <=> (m_main_v_state2(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29478,plain,
% 17.54/12.42 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s368, c_c2)) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | m_main_v_state2(s369, 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(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2))))),
% 17.54/12.42 inference(monotonicity,[status(thm)],[29477])).
% 17.54/12.42 tff(29479,plain,
% 17.54/12.42 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s368, c_c2)) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | m_main_v_state2(s369, 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(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2)))),
% 17.54/12.42 inference(transitivity,[status(thm)],[29478, 29476])).
% 17.54/12.42 tff(29480,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s368, c_c2)) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | m_main_v_state2(s369, c_n2))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29481,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29480, 29479])).
% 17.54/12.42 tff(29482,plain,
% 17.54/12.42 (m_main_v_state2(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~m_main_v_state2(s368, c_c2))),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29481, 726, 29475])).
% 17.54/12.42 tff(29483,plain,
% 17.54/12.42 (m_main_v_state2(s369, c_n2)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29482, 29464, 29419, 29456, 29452, 29444, 29427])).
% 17.54/12.42 tff(29484,plain,
% 17.54/12.42 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_c2)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29485,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_c2)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29486,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_c2))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29485, 29484])).
% 17.54/12.42 tff(29487,plain,
% 17.54/12.42 (~m_main_v_state2(s369, c_c2)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29486, 697, 29483])).
% 17.54/12.42 tff(29488,plain,
% 17.54/12.42 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s369, c_c2) | (~node3(s369)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s369, c_c2) | (~node3(s369)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29489,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s369, c_c2) | (~node3(s369)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29490,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s369, c_c2) | (~node3(s369))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29489, 29488])).
% 17.54/12.42 tff(29491,plain,
% 17.54/12.42 (~node3(s369)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29490, 399, 29487])).
% 17.54/12.42 tff(29492,plain,
% 17.54/12.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s368, c_n1) | (~node1(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s368, c_n1) | (~node1(s368)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29493,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s368, c_n1) | (~node1(s368)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29494,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s368, c_n1) | (~node1(s368))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29493, 29492])).
% 17.54/12.42 tff(29495,plain,
% 17.54/12.42 (~node1(s368)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29494, 421, 29440])).
% 17.54/12.42 tff(29496,plain,
% 17.54/12.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s367, s368)) | node18(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s367, s368)) | node18(s367, s368))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29497,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s367, s368)) | node18(s367, s368))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29498,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s367, s368)) | node18(s367, s368)),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29497, 29496])).
% 17.54/12.42 tff(29499,plain,
% 17.54/12.42 (node18(s367, s368)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29498, 125, 29410])).
% 17.54/12.42 tff(29500,plain,
% 17.54/12.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node18(s367, s368)) | m_main_v_turn(s368, 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(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node18(s367, s368)) | m_main_v_turn(s368, c_2))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29501,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node18(s367, s368)) | m_main_v_turn(s368, c_2))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29502,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node18(s367, s368)) | m_main_v_turn(s368, c_2)),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29501, 29500])).
% 17.54/12.42 tff(29503,plain,
% 17.54/12.42 ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | m_main_v_turn(s368, c_2)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29502, 760, 29499])).
% 17.54/12.42 tff(29504,plain,
% 17.54/12.42 (m_main_v_turn(s368, c_2)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29503, 29363, 29399])).
% 17.54/12.42 tff(29505,plain,
% 17.54/12.42 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s368, c_1)) | (~m_main_v_turn(s368, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s368, c_1)) | (~m_main_v_turn(s368, c_2)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29506,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s368, c_1)) | (~m_main_v_turn(s368, c_2)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29507,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s368, c_1)) | (~m_main_v_turn(s368, c_2))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29506, 29505])).
% 17.54/12.42 tff(29508,plain,
% 17.54/12.42 (~m_main_v_turn(s368, c_1)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29507, 156, 29504])).
% 17.54/12.42 tff(29509,plain,
% 17.54/12.42 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s368, c_1) | (~node5(s368)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s368, c_1) | (~node5(s368)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29510,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s368, c_1) | (~node5(s368)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29511,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s368, c_1) | (~node5(s368))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29510, 29509])).
% 17.54/12.42 tff(29512,plain,
% 17.54/12.42 (~node5(s368)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29511, 776, 29508])).
% 17.54/12.42 tff(29513,plain,
% 17.54/12.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s368, c_n1) | (~node2(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s368, c_n1) | (~node2(s368)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29514,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s368, c_n1) | (~node2(s368)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29515,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s368, c_n1) | (~node2(s368))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29514, 29513])).
% 17.54/12.42 tff(29516,plain,
% 17.54/12.42 (~node2(s368)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29515, 787, 29440])).
% 17.54/12.42 tff(29517,plain,
% 17.54/12.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s368, c_n1) | (~node3(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s368, c_n1) | (~node3(s368)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29518,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s368, c_n1) | (~node3(s368)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29519,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s368, c_n1) | (~node3(s368))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29518, 29517])).
% 17.54/12.42 tff(29520,plain,
% 17.54/12.42 (~node3(s368)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29519, 798, 29440])).
% 17.54/12.42 tff(29521,plain,
% 17.54/12.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s368, c_n2) | (~node4(s368)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s368, c_n2) | (~node4(s368)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29522,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s368, c_n2) | (~node4(s368)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29523,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s368, c_n2) | (~node4(s368))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29522, 29521])).
% 17.54/12.42 tff(29524,plain,
% 17.54/12.42 (~node4(s368)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29523, 388, 29460])).
% 17.54/12.42 tff(29525,plain,
% 17.54/12.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s368, s369)) | node7(s368, s369))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s368, s369)) | node7(s368, s369))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29526,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s368, s369)) | node7(s368, s369))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29527,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s368, s369)) | node7(s368, s369)),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29526, 29525])).
% 17.54/12.42 tff(29528,plain,
% 17.54/12.42 (node7(s368, s369)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29527, 206, 29471])).
% 17.54/12.42 tff(29529,plain,
% 17.54/12.42 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s368, c_c1) | node1(s368) | node2(s368) | node3(s368) | node4(s368) | node5(s368) | node6(s368, s369) | (~node7(s368, s369)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s368, c_c1) | node1(s368) | node2(s368) | node3(s368) | node4(s368) | node5(s368) | node6(s368, s369) | (~node7(s368, s369)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29530,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s368, c_c1) | node1(s368) | node2(s368) | node3(s368) | node4(s368) | node5(s368) | node6(s368, s369) | (~node7(s368, s369)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29531,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s368, c_c1) | node1(s368) | node2(s368) | node3(s368) | node4(s368) | node5(s368) | node6(s368, s369) | (~node7(s368, s369))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29530, 29529])).
% 17.54/12.42 tff(29532,plain,
% 17.54/12.42 (m_main_v_state1(s368, c_c1) | node1(s368) | node2(s368) | node3(s368) | node4(s368) | node5(s368) | node6(s368, s369)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29531, 820, 29528])).
% 17.54/12.42 tff(29533,plain,
% 17.54/12.42 (node6(s368, s369)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29532, 29524, 29448, 29520, 29516, 29512, 29495])).
% 17.54/12.42 tff(29534,plain,
% 17.54/12.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29535,plain,
% 17.54/12.42 (((~node6(s368, s369)) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1))) <=> (m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29536,plain,
% 17.54/12.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s368, s369)) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, 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(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369))))),
% 17.54/12.42 inference(monotonicity,[status(thm)],[29535])).
% 17.54/12.42 tff(29537,plain,
% 17.54/12.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s368, s369)) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, 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(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369)))),
% 17.54/12.42 inference(transitivity,[status(thm)],[29536, 29534])).
% 17.54/12.42 tff(29538,plain,
% 17.54/12.42 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s368, s369)) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29539,plain,
% 17.54/12.42 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29538, 29537])).
% 17.54/12.42 tff(29540,plain,
% 17.54/12.42 (~m_main_v_state1(s369, c_n1)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29539, 835, 29440, 29533])).
% 17.54/12.42 tff(29541,plain,
% 17.54/12.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s369, c_n1) | (~node2(s369)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s369, c_n1) | (~node2(s369)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29542,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s369, c_n1) | (~node2(s369)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29543,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s369, c_n1) | (~node2(s369))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29542, 29541])).
% 17.54/12.42 tff(29544,plain,
% 17.54/12.42 (~node2(s369)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29543, 787, 29540])).
% 17.54/12.42 tff(29545,plain,
% 17.54/12.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29546,plain,
% 17.54/12.42 (((~node6(s368, s369)) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1)) <=> ((~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29547,plain,
% 17.54/12.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s368, s369)) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, 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(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369))))),
% 17.54/12.42 inference(monotonicity,[status(thm)],[29546])).
% 17.54/12.42 tff(29548,plain,
% 17.54/12.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s368, s369)) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, 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(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369)))),
% 17.54/12.42 inference(transitivity,[status(thm)],[29547, 29545])).
% 17.54/12.42 tff(29549,plain,
% 17.54/12.42 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s368, s369)) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29550,plain,
% 17.54/12.42 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29549, 29548])).
% 17.54/12.42 tff(29551,plain,
% 17.54/12.42 (m_main_v_state1(s369, c_t1)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29550, 856, 29436, 29533])).
% 17.54/12.42 tff(29552,plain,
% 17.54/12.42 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_t2)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29553,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_t2)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29554,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_t2))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29553, 29552])).
% 17.54/12.42 tff(29555,plain,
% 17.54/12.42 (~m_main_v_state2(s369, c_t2)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29554, 77, 29483])).
% 17.54/12.42 tff(29556,plain,
% 17.54/12.42 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s369, c_t2) | (~node1(s369)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s369, c_t2) | (~node1(s369)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29557,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s369, c_t2) | (~node1(s369)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29558,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s369, c_t2) | (~node1(s369))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29557, 29556])).
% 17.54/12.42 tff(29559,plain,
% 17.54/12.42 (~node1(s369)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29558, 195, 29555])).
% 17.54/12.42 tff(29560,plain,
% 17.54/12.42 (succ(s369, s370) <=> succ(s369, s370)),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29561,axiom,(succ(s369, s370)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound370')).
% 17.54/12.42 tff(29562,plain,
% 17.54/12.42 (succ(s369, s370)),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29561, 29560])).
% 17.54/12.42 tff(29563,plain,
% 17.54/12.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s369, s370)) | trans(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s369, s370)) | trans(s369, s370))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29564,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s369, s370)) | trans(s369, s370))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29565,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s369, s370)) | trans(s369, s370)),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29564, 29563])).
% 17.54/12.42 tff(29566,plain,
% 17.54/12.42 (trans(s369, s370)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29565, 29562, 32])).
% 17.54/12.42 tff(29567,plain,
% 17.54/12.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s369, s370)) | node7(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s369, s370)) | node7(s369, s370))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29568,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s369, s370)) | node7(s369, s370))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29569,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s369, s370)) | node7(s369, s370)),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29568, 29567])).
% 17.54/12.42 tff(29570,plain,
% 17.54/12.42 (node7(s369, s370)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29569, 206, 29566])).
% 17.54/12.42 tff(29571,plain,
% 17.54/12.42 (((~![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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29572,plain,
% 17.54/12.42 (((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)) | m_main_v_state1(s370, c_c1)) <=> ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29573,plain,
% 17.54/12.42 (((~![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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)) | m_main_v_state1(s370, 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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370))))),
% 17.54/12.42 inference(monotonicity,[status(thm)],[29572])).
% 17.54/12.42 tff(29574,plain,
% 17.54/12.42 (((~![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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)) | m_main_v_state1(s370, 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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)))),
% 17.54/12.42 inference(transitivity,[status(thm)],[29573, 29571])).
% 17.54/12.42 tff(29575,plain,
% 17.54/12.42 ((~![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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)) | m_main_v_state1(s370, c_c1))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29576,plain,
% 17.54/12.42 ((~![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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29575, 29574])).
% 17.54/12.42 tff(29577,plain,
% 17.54/12.42 ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29576, 892, 29570])).
% 17.54/12.42 tff(29578,plain,
% 17.54/12.42 (m_main_v_state1(s370, c_c1)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29577, 29559, 29483, 29551, 29544, 29491])).
% 17.54/12.42 tff(29579,plain,
% 17.54/12.42 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s370, c_t1)) | (~m_main_v_state1(s370, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s370, c_t1)) | (~m_main_v_state1(s370, c_c1)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29580,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s370, c_t1)) | (~m_main_v_state1(s370, c_c1)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29581,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s370, c_t1)) | (~m_main_v_state1(s370, c_c1))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29580, 29579])).
% 17.54/12.42 tff(29582,plain,
% 17.54/12.42 (~m_main_v_state1(s370, c_t1)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29581, 539, 29578])).
% 17.54/12.42 tff(29583,plain,
% 17.54/12.42 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s370, c_t1) | (~node5(s370)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s370, c_t1) | (~node5(s370)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29584,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s370, c_t1) | (~node5(s370)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29585,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s370, c_t1) | (~node5(s370))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29584, 29583])).
% 17.54/12.42 tff(29586,plain,
% 17.54/12.42 (~node5(s370)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29585, 550, 29582])).
% 17.54/12.42 tff(29587,plain,
% 17.54/12.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s369, s370)) | node14(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s369, s370)) | node14(s369, s370))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29588,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s369, s370)) | node14(s369, s370))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29589,plain,
% 17.54/12.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s369, s370)) | node14(s369, s370)),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29588, 29587])).
% 17.54/12.42 tff(29590,plain,
% 17.54/12.42 (node14(s369, s370)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29589, 46, 29566])).
% 17.54/12.42 tff(29591,plain,
% 17.54/12.42 (((~![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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | (~node14(s369, s370)) | m_main_v_state2(s370, 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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | (~node14(s369, s370)) | m_main_v_state2(s370, c_t2))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29592,plain,
% 17.54/12.42 ((~![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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | (~node14(s369, s370)) | m_main_v_state2(s370, c_t2))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29593,plain,
% 17.54/12.42 ((~![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(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | (~node14(s369, s370)) | m_main_v_state2(s370, c_t2)),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29592, 29591])).
% 17.54/12.42 tff(29594,plain,
% 17.54/12.42 ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state2(s370, c_t2)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29593, 922, 29590])).
% 17.54/12.42 tff(29595,plain,
% 17.54/12.42 (m_main_v_state2(s370, c_t2)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29594, 29551, 29483])).
% 17.54/12.42 tff(29596,plain,
% 17.54/12.42 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s370, c_n2)) | (~m_main_v_state2(s370, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s370, c_n2)) | (~m_main_v_state2(s370, c_t2)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29597,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s370, c_n2)) | (~m_main_v_state2(s370, c_t2)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29598,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s370, c_n2)) | (~m_main_v_state2(s370, c_t2))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29597, 29596])).
% 17.54/12.42 tff(29599,plain,
% 17.54/12.42 (~m_main_v_state2(s370, c_n2)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29598, 77, 29595])).
% 17.54/12.42 tff(29600,plain,
% 17.54/12.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s370, c_n2) | (~node4(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s370, c_n2) | (~node4(s370)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29601,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s370, c_n2) | (~node4(s370)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29602,plain,
% 17.54/12.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s370, c_n2) | (~node4(s370))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29601, 29600])).
% 17.54/12.42 tff(29603,plain,
% 17.54/12.42 (~node4(s370)),
% 17.54/12.42 inference(unit_resolution,[status(thm)],[29602, 388, 29599])).
% 17.54/12.42 tff(29604,plain,
% 17.54/12.42 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s370, c_t2)) | (~m_main_v_state2(s370, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s370, c_t2)) | (~m_main_v_state2(s370, c_c2)))),
% 17.54/12.42 inference(rewrite,[status(thm)],[])).
% 17.54/12.42 tff(29605,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s370, c_t2)) | (~m_main_v_state2(s370, c_c2)))),
% 17.54/12.42 inference(quant_inst,[status(thm)],[])).
% 17.54/12.42 tff(29606,plain,
% 17.54/12.42 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s370, c_t2)) | (~m_main_v_state2(s370, c_c2))),
% 17.54/12.42 inference(modus_ponens,[status(thm)],[29605, 29604])).
% 17.54/12.43 tff(29607,plain,
% 17.54/12.43 (~m_main_v_state2(s370, c_c2)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29606, 260, 29595])).
% 17.54/12.43 tff(29608,plain,
% 17.54/12.43 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s370, c_c2) | (~node3(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s370, c_c2) | (~node3(s370)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29609,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s370, c_c2) | (~node3(s370)))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29610,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s370, c_c2) | (~node3(s370))),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29609, 29608])).
% 17.54/12.43 tff(29611,plain,
% 17.54/12.43 (~node3(s370)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29610, 399, 29607])).
% 17.54/12.43 tff(29612,plain,
% 17.54/12.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s370, c_n2) | (~node2(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s370, c_n2) | (~node2(s370)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29613,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s370, c_n2) | (~node2(s370)))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29614,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s370, c_n2) | (~node2(s370))),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29613, 29612])).
% 17.54/12.43 tff(29615,plain,
% 17.54/12.43 (~node2(s370)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29614, 410, 29599])).
% 17.54/12.43 tff(29616,plain,
% 17.54/12.43 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s370, c_n1)) | (~m_main_v_state1(s370, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s370, c_n1)) | (~m_main_v_state1(s370, c_c1)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29617,plain,
% 17.54/12.43 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s370, c_n1)) | (~m_main_v_state1(s370, c_c1)))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29618,plain,
% 17.54/12.43 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s370, c_n1)) | (~m_main_v_state1(s370, c_c1))),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29617, 29616])).
% 17.54/12.43 tff(29619,plain,
% 17.54/12.43 (~m_main_v_state1(s370, c_n1)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29618, 454, 29578])).
% 17.54/12.43 tff(29620,plain,
% 17.54/12.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s370, c_n1) | (~node1(s370)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s370, c_n1) | (~node1(s370)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29621,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s370, c_n1) | (~node1(s370)))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29622,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s370, c_n1) | (~node1(s370))),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29621, 29620])).
% 17.54/12.43 tff(29623,plain,
% 17.54/12.43 (~node1(s370)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29622, 421, 29619])).
% 17.54/12.43 tff(29624,plain,
% 17.54/12.43 (succ(s370, s371) <=> succ(s370, s371)),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29625,axiom,(succ(s370, s371)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound371')).
% 17.54/12.43 tff(29626,plain,
% 17.54/12.43 (succ(s370, s371)),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29625, 29624])).
% 17.54/12.43 tff(29627,plain,
% 17.54/12.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s370, s371)) | trans(s370, s371))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s370, s371)) | trans(s370, s371))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29628,plain,
% 17.54/12.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s370, s371)) | trans(s370, s371))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29629,plain,
% 17.54/12.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s370, s371)) | trans(s370, s371)),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29628, 29627])).
% 17.54/12.43 tff(29630,plain,
% 17.54/12.43 (trans(s370, s371)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29629, 29626, 32])).
% 17.54/12.43 tff(29631,plain,
% 17.54/12.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s370, s371)) | node7(s370, s371))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s370, s371)) | node7(s370, s371))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29632,plain,
% 17.54/12.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s370, s371)) | node7(s370, s371))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29633,plain,
% 17.54/12.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s370, s371)) | node7(s370, s371)),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29632, 29631])).
% 17.54/12.43 tff(29634,plain,
% 17.54/12.43 (node7(s370, s371)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29633, 206, 29630])).
% 17.54/12.43 tff(29635,plain,
% 17.54/12.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29636,plain,
% 17.54/12.43 (((~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)) | m_main_v_state1(s371, c_n1)) <=> (m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29637,plain,
% 17.54/12.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)) | m_main_v_state1(s371, 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(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371))))),
% 17.54/12.43 inference(monotonicity,[status(thm)],[29636])).
% 17.54/12.43 tff(29638,plain,
% 17.54/12.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)) | m_main_v_state1(s371, 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(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)))),
% 17.54/12.43 inference(transitivity,[status(thm)],[29637, 29635])).
% 17.54/12.43 tff(29639,plain,
% 17.54/12.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)) | m_main_v_state1(s371, c_n1))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29640,plain,
% 17.54/12.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371))),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29639, 29638])).
% 17.54/12.43 tff(29641,plain,
% 17.54/12.43 (m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29640, 584, 29634])).
% 17.54/12.43 tff(29642,plain,
% 17.54/12.43 (m_main_v_state1(s371, c_n1)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29641, 29623, 29578, 29615, 29611, 29603, 29586])).
% 17.54/12.43 tff(29643,plain,
% 17.54/12.43 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s369, c_t2) | (~node15(s369)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s369, c_t2) | (~node15(s369)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29644,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s369, c_t2) | (~node15(s369)))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29645,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s369, c_t2) | (~node15(s369))),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29644, 29643])).
% 17.54/12.43 tff(29646,plain,
% 17.54/12.43 (~node15(s369)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29645, 103, 29555])).
% 17.54/12.43 tff(29647,plain,
% 17.54/12.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s369, s370)) | node18(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s369, s370)) | node18(s369, s370))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29648,plain,
% 17.54/12.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s369, s370)) | node18(s369, s370))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29649,plain,
% 17.54/12.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s369, s370)) | node18(s369, s370)),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29648, 29647])).
% 17.54/12.43 tff(29650,plain,
% 17.54/12.43 (node18(s369, s370)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29649, 125, 29566])).
% 17.54/12.43 tff(29651,plain,
% 17.54/12.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29652,plain,
% 17.54/12.43 (((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node15(s369) | (~node18(s369, s370)) | m_main_v_turn(s370, c_1)) <=> (node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29653,plain,
% 17.54/12.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node15(s369) | (~node18(s369, s370)) | m_main_v_turn(s370, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1)))),
% 17.54/12.43 inference(monotonicity,[status(thm)],[29652])).
% 17.54/12.43 tff(29654,plain,
% 17.54/12.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node15(s369) | (~node18(s369, s370)) | m_main_v_turn(s370, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1))),
% 17.54/12.43 inference(transitivity,[status(thm)],[29653, 29651])).
% 17.54/12.43 tff(29655,plain,
% 17.54/12.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node15(s369) | (~node18(s369, s370)) | m_main_v_turn(s370, c_1))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29656,plain,
% 17.54/12.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1)),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29655, 29654])).
% 17.54/12.43 tff(29657,plain,
% 17.54/12.43 (node15(s369) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29656, 992, 29650])).
% 17.54/12.43 tff(29658,plain,
% 17.54/12.43 (m_main_v_turn(s370, c_1)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29657, 29646, 29483, 29551])).
% 17.54/12.43 tff(29659,plain,
% 17.54/12.43 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s370, c_1)) | (~m_main_v_turn(s370, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s370, c_1)) | (~m_main_v_turn(s370, c_2)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29660,plain,
% 17.54/12.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s370, c_1)) | (~m_main_v_turn(s370, c_2)))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29661,plain,
% 17.54/12.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s370, c_1)) | (~m_main_v_turn(s370, c_2))),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29660, 29659])).
% 17.54/12.43 tff(29662,plain,
% 17.54/12.43 (~m_main_v_turn(s370, c_2)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29661, 156, 29658])).
% 17.54/12.43 tff(29663,plain,
% 17.54/12.43 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s370, c_2) | (~node12(s370)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s370, c_2) | (~node12(s370)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29664,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s370, c_2) | (~node12(s370)))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29665,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s370, c_2) | (~node12(s370))),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29664, 29663])).
% 17.54/12.43 tff(29666,plain,
% 17.54/12.43 (~node12(s370)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29665, 184, 29662])).
% 17.54/12.43 tff(29667,plain,
% 17.54/12.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s370, c_n2) | (~node8(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s370, c_n2) | (~node8(s370)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29668,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s370, c_n2) | (~node8(s370)))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29669,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s370, c_n2) | (~node8(s370))),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29668, 29667])).
% 17.54/12.43 tff(29670,plain,
% 17.54/12.43 (~node8(s370)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29669, 271, 29599])).
% 17.54/12.43 tff(29671,plain,
% 17.54/12.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s370, c_n2) | (~node9(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s370, c_n2) | (~node9(s370)))),
% 17.54/12.43 inference(rewrite,[status(thm)],[])).
% 17.54/12.43 tff(29672,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s370, c_n2) | (~node9(s370)))),
% 17.54/12.43 inference(quant_inst,[status(thm)],[])).
% 17.54/12.43 tff(29673,plain,
% 17.54/12.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s370, c_n2) | (~node9(s370))),
% 17.54/12.43 inference(modus_ponens,[status(thm)],[29672, 29671])).
% 17.54/12.43 tff(29674,plain,
% 17.54/12.43 (~node9(s370)),
% 17.54/12.43 inference(unit_resolution,[status(thm)],[29673, 88, 29599])).
% 17.64/12.43 tff(29675,plain,
% 17.64/12.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s370, c_n2) | (~node10(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s370, c_n2) | (~node10(s370)))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29676,plain,
% 17.64/12.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s370, c_n2) | (~node10(s370)))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29677,plain,
% 17.64/12.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s370, c_n2) | (~node10(s370))),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29676, 29675])).
% 17.64/12.43 tff(29678,plain,
% 17.64/12.43 (~node10(s370)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29677, 249, 29599])).
% 17.64/12.43 tff(29679,plain,
% 17.64/12.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s370, c_n1) | (~node11(s370)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s370, c_n1) | (~node11(s370)))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29680,plain,
% 17.64/12.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s370, c_n1) | (~node11(s370)))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29681,plain,
% 17.64/12.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s370, c_n1) | (~node11(s370))),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29680, 29679])).
% 17.64/12.43 tff(29682,plain,
% 17.64/12.43 (~node11(s370)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29681, 238, 29619])).
% 17.64/12.43 tff(29683,plain,
% 17.64/12.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s370, s371)) | node14(s370, s371))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s370, s371)) | node14(s370, s371))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29684,plain,
% 17.64/12.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s370, s371)) | node14(s370, s371))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29685,plain,
% 17.64/12.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s370, s371)) | node14(s370, s371)),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29684, 29683])).
% 17.64/12.43 tff(29686,plain,
% 17.64/12.43 (node14(s370, s371)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29685, 46, 29630])).
% 17.64/12.43 tff(29687,plain,
% 17.64/12.43 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s370, c_c2) | node9(s370) | node8(s370) | node10(s370) | node11(s370) | node12(s370) | node13(s370, s371) | (~node14(s370, s371)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s370, c_c2) | node9(s370) | node8(s370) | node10(s370) | node11(s370) | node12(s370) | node13(s370, s371) | (~node14(s370, s371)))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29688,plain,
% 17.64/12.43 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s370, c_c2) | node9(s370) | node8(s370) | node10(s370) | node11(s370) | node12(s370) | node13(s370, s371) | (~node14(s370, s371)))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29689,plain,
% 17.64/12.43 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s370, c_c2) | node9(s370) | node8(s370) | node10(s370) | node11(s370) | node12(s370) | node13(s370, s371) | (~node14(s370, s371))),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29688, 29687])).
% 17.64/12.43 tff(29690,plain,
% 17.64/12.43 (m_main_v_state2(s370, c_c2) | node9(s370) | node8(s370) | node10(s370) | node11(s370) | node12(s370) | node13(s370, s371)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29689, 296, 29686])).
% 17.64/12.43 tff(29691,plain,
% 17.64/12.43 (node13(s370, s371)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29690, 29682, 29607, 29678, 29674, 29670, 29666])).
% 17.64/12.43 tff(29692,plain,
% 17.64/12.43 (((~![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(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371)))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29693,plain,
% 17.64/12.43 (((~node13(s370, s371)) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2)) <=> ((~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371)))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29694,plain,
% 17.64/12.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s370, s371)) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, 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(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371))))),
% 17.64/12.43 inference(monotonicity,[status(thm)],[29693])).
% 17.64/12.43 tff(29695,plain,
% 17.64/12.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s370, s371)) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, 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(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371)))),
% 17.64/12.43 inference(transitivity,[status(thm)],[29694, 29692])).
% 17.64/12.43 tff(29696,plain,
% 17.64/12.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s370, s371)) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29697,plain,
% 17.64/12.43 ((~![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(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371))),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29696, 29695])).
% 17.64/12.43 tff(29698,plain,
% 17.64/12.43 (m_main_v_state2(s371, c_t2)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29697, 518, 29595, 29691])).
% 17.64/12.43 tff(29699,plain,
% 17.64/12.43 (succ(s371, s372) <=> succ(s371, s372)),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29700,axiom,(succ(s371, s372)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound372')).
% 17.64/12.43 tff(29701,plain,
% 17.64/12.43 (succ(s371, s372)),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29700, 29699])).
% 17.64/12.43 tff(29702,plain,
% 17.64/12.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s371, s372)) | trans(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s371, s372)) | trans(s371, s372))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29703,plain,
% 17.64/12.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s371, s372)) | trans(s371, s372))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29704,plain,
% 17.64/12.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s371, s372)) | trans(s371, s372)),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29703, 29702])).
% 17.64/12.43 tff(29705,plain,
% 17.64/12.43 (trans(s371, s372)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29704, 29701, 32])).
% 17.64/12.43 tff(29706,plain,
% 17.64/12.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s371, s372)) | node7(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s371, s372)) | node7(s371, s372))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29707,plain,
% 17.64/12.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s371, s372)) | node7(s371, s372))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29708,plain,
% 17.64/12.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s371, s372)) | node7(s371, s372)),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29707, 29706])).
% 17.64/12.43 tff(29709,plain,
% 17.64/12.43 (node7(s371, s372)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29708, 206, 29705])).
% 17.64/12.43 tff(29710,plain,
% 17.64/12.43 (((~![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(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node7(s371, s372)) | m_main_v_state1(s372, 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(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node7(s371, s372)) | m_main_v_state1(s372, c_t1))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29711,plain,
% 17.64/12.43 ((~![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(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node7(s371, s372)) | m_main_v_state1(s372, c_t1))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29712,plain,
% 17.64/12.43 ((~![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(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node7(s371, s372)) | m_main_v_state1(s372, c_t1)),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29711, 29710])).
% 17.64/12.43 tff(29713,plain,
% 17.64/12.43 ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | m_main_v_state1(s372, c_t1)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29712, 651, 29709])).
% 17.64/12.43 tff(29714,plain,
% 17.64/12.43 (m_main_v_state1(s372, c_t1)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29713, 29698, 29642])).
% 17.64/12.43 tff(29715,plain,
% 17.64/12.43 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s372, c_n1)) | (~m_main_v_state1(s372, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s372, c_n1)) | (~m_main_v_state1(s372, c_t1)))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29716,plain,
% 17.64/12.43 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s372, c_n1)) | (~m_main_v_state1(s372, c_t1)))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29717,plain,
% 17.64/12.43 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s372, c_n1)) | (~m_main_v_state1(s372, c_t1))),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 17.64/12.43 tff(29718,plain,
% 17.64/12.43 (~m_main_v_state1(s372, c_n1)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29717, 10, 29714])).
% 17.64/12.43 tff(29719,plain,
% 17.64/12.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s372, c_n1) | (~node1(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s372, c_n1) | (~node1(s372)))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29720,plain,
% 17.64/12.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s372, c_n1) | (~node1(s372)))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29721,plain,
% 17.64/12.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s372, c_n1) | (~node1(s372))),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29720, 29719])).
% 17.64/12.43 tff(29722,plain,
% 17.64/12.43 (~node1(s372)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29721, 421, 29718])).
% 17.64/12.43 tff(29723,plain,
% 17.64/12.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s371, s372)) | node18(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s371, s372)) | node18(s371, s372))),
% 17.64/12.43 inference(rewrite,[status(thm)],[])).
% 17.64/12.43 tff(29724,plain,
% 17.64/12.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s371, s372)) | node18(s371, s372))),
% 17.64/12.43 inference(quant_inst,[status(thm)],[])).
% 17.64/12.43 tff(29725,plain,
% 17.64/12.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s371, s372)) | node18(s371, s372)),
% 17.64/12.43 inference(modus_ponens,[status(thm)],[29724, 29723])).
% 17.64/12.43 tff(29726,plain,
% 17.64/12.43 (node18(s371, s372)),
% 17.64/12.43 inference(unit_resolution,[status(thm)],[29725, 125, 29705])).
% 17.64/12.43 tff(29727,plain,
% 17.64/12.43 (((~![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(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node18(s371, s372)) | m_main_v_turn(s372, 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(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node18(s371, s372)) | m_main_v_turn(s372, c_2))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29728,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node18(s371, s372)) | m_main_v_turn(s372, c_2))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29729,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node18(s371, s372)) | m_main_v_turn(s372, c_2)),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29728, 29727])).
% 17.64/12.44 tff(29730,plain,
% 17.64/12.44 ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | m_main_v_turn(s372, c_2)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29729, 760, 29726])).
% 17.64/12.44 tff(29731,plain,
% 17.64/12.44 (m_main_v_turn(s372, c_2)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29730, 29698, 29642])).
% 17.64/12.44 tff(29732,plain,
% 17.64/12.44 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s372, c_1)) | (~m_main_v_turn(s372, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s372, c_1)) | (~m_main_v_turn(s372, c_2)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29733,plain,
% 17.64/12.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s372, c_1)) | (~m_main_v_turn(s372, c_2)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29734,plain,
% 17.64/12.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s372, c_1)) | (~m_main_v_turn(s372, c_2))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29733, 29732])).
% 17.64/12.44 tff(29735,plain,
% 17.64/12.44 (~m_main_v_turn(s372, c_1)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29734, 156, 29731])).
% 17.64/12.44 tff(29736,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s372, c_1) | (~node5(s372)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s372, c_1) | (~node5(s372)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29737,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s372, c_1) | (~node5(s372)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29738,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s372, c_1) | (~node5(s372))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29737, 29736])).
% 17.64/12.44 tff(29739,plain,
% 17.64/12.44 (~node5(s372)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29738, 776, 29735])).
% 17.64/12.44 tff(29740,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s372, c_n1) | (~node2(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s372, c_n1) | (~node2(s372)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29741,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s372, c_n1) | (~node2(s372)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29742,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s372, c_n1) | (~node2(s372))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29741, 29740])).
% 17.64/12.44 tff(29743,plain,
% 17.64/12.44 (~node2(s372)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29742, 787, 29718])).
% 17.64/12.44 tff(29744,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s372, c_n1) | (~node3(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s372, c_n1) | (~node3(s372)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29745,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s372, c_n1) | (~node3(s372)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29746,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s372, c_n1) | (~node3(s372))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29745, 29744])).
% 17.64/12.44 tff(29747,plain,
% 17.64/12.44 (~node3(s372)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29746, 798, 29718])).
% 17.64/12.44 tff(29748,plain,
% 17.64/12.44 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s372, c_t1)) | (~m_main_v_state1(s372, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s372, c_t1)) | (~m_main_v_state1(s372, c_c1)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29749,plain,
% 17.64/12.44 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s372, c_t1)) | (~m_main_v_state1(s372, c_c1)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29750,plain,
% 17.64/12.44 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s372, c_t1)) | (~m_main_v_state1(s372, c_c1))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29749, 29748])).
% 17.64/12.44 tff(29751,plain,
% 17.64/12.44 (~m_main_v_state1(s372, c_c1)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29750, 539, 29714])).
% 17.64/12.44 tff(29752,plain,
% 17.64/12.44 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29753,plain,
% 17.64/12.44 (((~node13(s370, s371)) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2))) <=> (m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29754,plain,
% 17.64/12.44 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s370, s371)) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, 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(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371))))),
% 17.64/12.44 inference(monotonicity,[status(thm)],[29753])).
% 17.64/12.44 tff(29755,plain,
% 17.64/12.44 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s370, s371)) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, 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(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371)))),
% 17.64/12.44 inference(transitivity,[status(thm)],[29754, 29752])).
% 17.64/12.44 tff(29756,plain,
% 17.64/12.44 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s370, s371)) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29757,plain,
% 17.64/12.44 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29756, 29755])).
% 17.64/12.44 tff(29758,plain,
% 17.64/12.44 (~m_main_v_state2(s371, c_n2)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29757, 311, 29599, 29691])).
% 17.64/12.44 tff(29759,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s371, c_n2) | (~node9(s371)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s371, c_n2) | (~node9(s371)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29760,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s371, c_n2) | (~node9(s371)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29761,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s371, c_n2) | (~node9(s371))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29760, 29759])).
% 17.64/12.44 tff(29762,plain,
% 17.64/12.44 (~node9(s371)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29761, 88, 29758])).
% 17.64/12.44 tff(29763,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s371, c_n2) | (~node10(s371)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s371, c_n2) | (~node10(s371)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29764,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s371, c_n2) | (~node10(s371)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29765,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s371, c_n2) | (~node10(s371))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29764, 29763])).
% 17.64/12.44 tff(29766,plain,
% 17.64/12.44 (~node10(s371)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29765, 249, 29758])).
% 17.64/12.44 tff(29767,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s371, c_n2) | (~node8(s371)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s371, c_n2) | (~node8(s371)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29768,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s371, c_n2) | (~node8(s371)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29769,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s371, c_n2) | (~node8(s371))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29768, 29767])).
% 17.64/12.44 tff(29770,plain,
% 17.64/12.44 (~node8(s371)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29769, 271, 29758])).
% 17.64/12.44 tff(29771,plain,
% 17.64/12.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s371, s372)) | node14(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s371, s372)) | node14(s371, s372))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29772,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s371, s372)) | node14(s371, s372))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29773,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s371, s372)) | node14(s371, s372)),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29772, 29771])).
% 17.64/12.44 tff(29774,plain,
% 17.64/12.44 (node14(s371, s372)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29773, 46, 29705])).
% 17.64/12.44 tff(29775,plain,
% 17.64/12.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | node9(s371) | node8(s371) | node10(s371) | (~node14(s371, s372)) | m_main_v_state2(s372, 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(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | node9(s371) | node8(s371) | node10(s371) | (~node14(s371, s372)) | m_main_v_state2(s372, c_c2))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29776,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | node9(s371) | node8(s371) | node10(s371) | (~node14(s371, s372)) | m_main_v_state2(s372, c_c2))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29777,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | node9(s371) | node8(s371) | node10(s371) | (~node14(s371, s372)) | m_main_v_state2(s372, c_c2)),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29776, 29775])).
% 17.64/12.44 tff(29778,plain,
% 17.64/12.44 ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | node9(s371) | node8(s371) | node10(s371) | m_main_v_state2(s372, c_c2)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29777, 617, 29774])).
% 17.64/12.44 tff(29779,plain,
% 17.64/12.44 (m_main_v_state2(s372, c_c2)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29778, 29770, 29642, 29698, 29766, 29762])).
% 17.64/12.44 tff(29780,plain,
% 17.64/12.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s372, c_n2)) | (~m_main_v_state2(s372, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s372, c_n2)) | (~m_main_v_state2(s372, c_c2)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29781,plain,
% 17.64/12.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s372, c_n2)) | (~m_main_v_state2(s372, c_c2)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29782,plain,
% 17.64/12.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s372, c_n2)) | (~m_main_v_state2(s372, c_c2))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29781, 29780])).
% 17.64/12.44 tff(29783,plain,
% 17.64/12.44 (~m_main_v_state2(s372, c_n2)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29782, 697, 29779])).
% 17.64/12.44 tff(29784,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s372, c_n2) | (~node4(s372)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s372, c_n2) | (~node4(s372)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29785,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s372, c_n2) | (~node4(s372)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29786,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s372, c_n2) | (~node4(s372))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29785, 29784])).
% 17.64/12.44 tff(29787,plain,
% 17.64/12.44 (~node4(s372)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29786, 388, 29783])).
% 17.64/12.44 tff(29788,plain,
% 17.64/12.44 (succ(s372, s373) <=> succ(s372, s373)),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29789,axiom,(succ(s372, s373)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound373')).
% 17.64/12.44 tff(29790,plain,
% 17.64/12.44 (succ(s372, s373)),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29789, 29788])).
% 17.64/12.44 tff(29791,plain,
% 17.64/12.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s372, s373)) | trans(s372, s373))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s372, s373)) | trans(s372, s373))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29792,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s372, s373)) | trans(s372, s373))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29793,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s372, s373)) | trans(s372, s373)),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29792, 29791])).
% 17.64/12.44 tff(29794,plain,
% 17.64/12.44 (trans(s372, s373)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29793, 29790, 32])).
% 17.64/12.44 tff(29795,plain,
% 17.64/12.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s372, s373)) | node7(s372, s373))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s372, s373)) | node7(s372, s373))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29796,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s372, s373)) | node7(s372, s373))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29797,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s372, s373)) | node7(s372, s373)),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29796, 29795])).
% 17.64/12.44 tff(29798,plain,
% 17.64/12.44 (node7(s372, s373)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29797, 206, 29794])).
% 17.64/12.44 tff(29799,plain,
% 17.64/12.44 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s372, c_c1) | node1(s372) | node2(s372) | node3(s372) | node4(s372) | node5(s372) | node6(s372, s373) | (~node7(s372, s373)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s372, c_c1) | node1(s372) | node2(s372) | node3(s372) | node4(s372) | node5(s372) | node6(s372, s373) | (~node7(s372, s373)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29800,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s372, c_c1) | node1(s372) | node2(s372) | node3(s372) | node4(s372) | node5(s372) | node6(s372, s373) | (~node7(s372, s373)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29801,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s372, c_c1) | node1(s372) | node2(s372) | node3(s372) | node4(s372) | node5(s372) | node6(s372, s373) | (~node7(s372, s373))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29800, 29799])).
% 17.64/12.44 tff(29802,plain,
% 17.64/12.44 (m_main_v_state1(s372, c_c1) | node1(s372) | node2(s372) | node3(s372) | node4(s372) | node5(s372) | node6(s372, s373)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29801, 820, 29798])).
% 17.64/12.44 tff(29803,plain,
% 17.64/12.44 (node6(s372, s373)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29802, 29787, 29751, 29747, 29743, 29739, 29722])).
% 17.64/12.44 tff(29804,plain,
% 17.64/12.44 (((~![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(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29805,plain,
% 17.64/12.44 (((~node6(s372, s373)) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1)) <=> ((~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29806,plain,
% 17.64/12.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s372, s373)) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, 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(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373))))),
% 17.64/12.44 inference(monotonicity,[status(thm)],[29805])).
% 17.64/12.44 tff(29807,plain,
% 17.64/12.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s372, s373)) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, 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(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373)))),
% 17.64/12.44 inference(transitivity,[status(thm)],[29806, 29804])).
% 17.64/12.44 tff(29808,plain,
% 17.64/12.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s372, s373)) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29809,plain,
% 17.64/12.44 ((~![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(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29808, 29807])).
% 17.64/12.44 tff(29810,plain,
% 17.64/12.44 (m_main_v_state1(s373, c_t1)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29809, 856, 29714, 29803])).
% 17.64/12.44 tff(29811,plain,
% 17.64/12.44 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s372, c_t2)) | (~m_main_v_state2(s372, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s372, c_t2)) | (~m_main_v_state2(s372, c_c2)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29812,plain,
% 17.64/12.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s372, c_t2)) | (~m_main_v_state2(s372, c_c2)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29813,plain,
% 17.64/12.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s372, c_t2)) | (~m_main_v_state2(s372, c_c2))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29812, 29811])).
% 17.64/12.44 tff(29814,plain,
% 17.64/12.44 (~m_main_v_state2(s372, c_t2)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29813, 260, 29779])).
% 17.64/12.44 tff(29815,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s372, c_t2) | (~node12(s372)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s372, c_t2) | (~node12(s372)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29816,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s372, c_t2) | (~node12(s372)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29817,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s372, c_t2) | (~node12(s372))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29816, 29815])).
% 17.64/12.44 tff(29818,plain,
% 17.64/12.44 (~node12(s372)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29817, 633, 29814])).
% 17.64/12.44 tff(29819,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s372, c_n1) | (~node11(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s372, c_n1) | (~node11(s372)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29820,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s372, c_n1) | (~node11(s372)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29821,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s372, c_n1) | (~node11(s372))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29820, 29819])).
% 17.64/12.44 tff(29822,plain,
% 17.64/12.44 (~node11(s372)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29821, 238, 29718])).
% 17.64/12.44 tff(29823,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s372, c_c1) | (~node10(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s372, c_c1) | (~node10(s372)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29824,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s372, c_c1) | (~node10(s372)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29825,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s372, c_c1) | (~node10(s372))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29824, 29823])).
% 17.64/12.44 tff(29826,plain,
% 17.64/12.44 (~node10(s372)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29825, 675, 29751])).
% 17.64/12.44 tff(29827,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s372, c_n1) | (~node9(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s372, c_n1) | (~node9(s372)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29828,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s372, c_n1) | (~node9(s372)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29829,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s372, c_n1) | (~node9(s372))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29828, 29827])).
% 17.64/12.44 tff(29830,plain,
% 17.64/12.44 (~node9(s372)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29829, 686, 29718])).
% 17.64/12.44 tff(29831,plain,
% 17.64/12.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s372, c_n2) | (~node8(s372)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s372, c_n2) | (~node8(s372)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29832,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s372, c_n2) | (~node8(s372)))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29833,plain,
% 17.64/12.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s372, c_n2) | (~node8(s372))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29832, 29831])).
% 17.64/12.44 tff(29834,plain,
% 17.64/12.44 (~node8(s372)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29833, 271, 29783])).
% 17.64/12.44 tff(29835,plain,
% 17.64/12.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s372, s373)) | node14(s372, s373))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s372, s373)) | node14(s372, s373))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29836,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s372, s373)) | node14(s372, s373))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29837,plain,
% 17.64/12.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s372, s373)) | node14(s372, s373)),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29836, 29835])).
% 17.64/12.44 tff(29838,plain,
% 17.64/12.44 (node14(s372, s373)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29837, 46, 29794])).
% 17.64/12.44 tff(29839,plain,
% 17.64/12.44 (((~![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(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, 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(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29840,plain,
% 17.64/12.44 (((~m_main_v_state2(s372, c_c2)) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | m_main_v_state2(s373, c_n2)) <=> (m_main_v_state2(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2)))),
% 17.64/12.44 inference(rewrite,[status(thm)],[])).
% 17.64/12.44 tff(29841,plain,
% 17.64/12.44 (((~![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(s372, c_c2)) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | m_main_v_state2(s373, 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(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2))))),
% 17.64/12.44 inference(monotonicity,[status(thm)],[29840])).
% 17.64/12.44 tff(29842,plain,
% 17.64/12.44 (((~![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(s372, c_c2)) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | m_main_v_state2(s373, 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(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2)))),
% 17.64/12.44 inference(transitivity,[status(thm)],[29841, 29839])).
% 17.64/12.44 tff(29843,plain,
% 17.64/12.44 ((~![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(s372, c_c2)) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | m_main_v_state2(s373, c_n2))),
% 17.64/12.44 inference(quant_inst,[status(thm)],[])).
% 17.64/12.44 tff(29844,plain,
% 17.64/12.44 ((~![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(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2))),
% 17.64/12.44 inference(modus_ponens,[status(thm)],[29843, 29842])).
% 17.64/12.44 tff(29845,plain,
% 17.64/12.44 (m_main_v_state2(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~m_main_v_state2(s372, c_c2))),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29844, 726, 29838])).
% 17.64/12.44 tff(29846,plain,
% 17.64/12.44 (m_main_v_state2(s373, c_n2)),
% 17.64/12.44 inference(unit_resolution,[status(thm)],[29845, 29834, 29779, 29830, 29826, 29822, 29818])).
% 17.64/12.44 tff(29847,plain,
% 17.64/12.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_t2)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29848,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_t2)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29849,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_t2))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29848, 29847])).
% 17.64/12.45 tff(29850,plain,
% 17.64/12.45 (~m_main_v_state2(s373, c_t2)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29849, 77, 29846])).
% 17.64/12.45 tff(29851,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s373, c_t2) | (~node15(s373)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s373, c_t2) | (~node15(s373)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29852,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s373, c_t2) | (~node15(s373)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29853,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s373, c_t2) | (~node15(s373))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29852, 29851])).
% 17.64/12.45 tff(29854,plain,
% 17.64/12.45 (~node15(s373)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29853, 103, 29850])).
% 17.64/12.45 tff(29855,plain,
% 17.64/12.45 (succ(s373, s374) <=> succ(s373, s374)),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29856,axiom,(succ(s373, s374)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound374')).
% 17.64/12.45 tff(29857,plain,
% 17.64/12.45 (succ(s373, s374)),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29856, 29855])).
% 17.64/12.45 tff(29858,plain,
% 17.64/12.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s373, s374)) | trans(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s373, s374)) | trans(s373, s374))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29859,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s373, s374)) | trans(s373, s374))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29860,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s373, s374)) | trans(s373, s374)),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29859, 29858])).
% 17.64/12.45 tff(29861,plain,
% 17.64/12.45 (trans(s373, s374)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29860, 29857, 32])).
% 17.64/12.45 tff(29862,plain,
% 17.64/12.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s373, s374)) | node18(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s373, s374)) | node18(s373, s374))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29863,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s373, s374)) | node18(s373, s374))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29864,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s373, s374)) | node18(s373, s374)),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29863, 29862])).
% 17.64/12.45 tff(29865,plain,
% 17.64/12.45 (node18(s373, s374)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29864, 125, 29861])).
% 17.64/12.45 tff(29866,plain,
% 17.64/12.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29867,plain,
% 17.64/12.45 (((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node15(s373) | (~node18(s373, s374)) | m_main_v_turn(s374, c_1)) <=> (node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29868,plain,
% 17.64/12.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node15(s373) | (~node18(s373, s374)) | m_main_v_turn(s374, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1)))),
% 17.64/12.45 inference(monotonicity,[status(thm)],[29867])).
% 17.64/12.45 tff(29869,plain,
% 17.64/12.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node15(s373) | (~node18(s373, s374)) | m_main_v_turn(s374, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1))),
% 17.64/12.45 inference(transitivity,[status(thm)],[29868, 29866])).
% 17.64/12.45 tff(29870,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node15(s373) | (~node18(s373, s374)) | m_main_v_turn(s374, c_1))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29871,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1)),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29870, 29869])).
% 17.64/12.45 tff(29872,plain,
% 17.64/12.45 (node15(s373) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29871, 992, 29865])).
% 17.64/12.45 tff(29873,plain,
% 17.64/12.45 (m_main_v_turn(s374, c_1)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29872, 29854, 29846, 29810])).
% 17.64/12.45 tff(29874,plain,
% 17.64/12.45 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s374, c_1)) | (~m_main_v_turn(s374, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s374, c_1)) | (~m_main_v_turn(s374, c_2)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29875,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s374, c_1)) | (~m_main_v_turn(s374, c_2)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29876,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s374, c_1)) | (~m_main_v_turn(s374, c_2))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29875, 29874])).
% 17.64/12.45 tff(29877,plain,
% 17.64/12.45 (~m_main_v_turn(s374, c_2)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29876, 156, 29873])).
% 17.64/12.45 tff(29878,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s374, c_2) | (~node12(s374)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s374, c_2) | (~node12(s374)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29879,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s374, c_2) | (~node12(s374)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29880,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s374, c_2) | (~node12(s374))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 17.64/12.45 tff(29881,plain,
% 17.64/12.45 (~node12(s374)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29880, 184, 29877])).
% 17.64/12.45 tff(29882,plain,
% 17.64/12.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s373, s374)) | node14(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s373, s374)) | node14(s373, s374))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29883,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s373, s374)) | node14(s373, s374))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29884,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s373, s374)) | node14(s373, s374)),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29883, 29882])).
% 17.64/12.45 tff(29885,plain,
% 17.64/12.45 (node14(s373, s374)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29884, 46, 29861])).
% 17.64/12.45 tff(29886,plain,
% 17.64/12.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | (~node14(s373, s374)) | m_main_v_state2(s374, 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(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | (~node14(s373, s374)) | m_main_v_state2(s374, c_t2))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29887,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | (~node14(s373, s374)) | m_main_v_state2(s374, c_t2))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29888,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | (~node14(s373, s374)) | m_main_v_state2(s374, c_t2)),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29887, 29886])).
% 17.64/12.45 tff(29889,plain,
% 17.64/12.45 ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state2(s374, c_t2)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29888, 922, 29885])).
% 17.64/12.45 tff(29890,plain,
% 17.64/12.45 (m_main_v_state2(s374, c_t2)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29889, 29810, 29846])).
% 17.64/12.45 tff(29891,plain,
% 17.64/12.45 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s374, c_n2)) | (~m_main_v_state2(s374, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s374, c_n2)) | (~m_main_v_state2(s374, c_t2)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29892,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s374, c_n2)) | (~m_main_v_state2(s374, c_t2)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29893,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s374, c_n2)) | (~m_main_v_state2(s374, c_t2))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29892, 29891])).
% 17.64/12.45 tff(29894,plain,
% 17.64/12.45 (~m_main_v_state2(s374, c_n2)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29893, 77, 29890])).
% 17.64/12.45 tff(29895,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s374, c_n2) | (~node8(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s374, c_n2) | (~node8(s374)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29896,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s374, c_n2) | (~node8(s374)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29897,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s374, c_n2) | (~node8(s374))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29896, 29895])).
% 17.64/12.45 tff(29898,plain,
% 17.64/12.45 (~node8(s374)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29897, 271, 29894])).
% 17.64/12.45 tff(29899,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s374, c_n2) | (~node9(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s374, c_n2) | (~node9(s374)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29900,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s374, c_n2) | (~node9(s374)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29901,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s374, c_n2) | (~node9(s374))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29900, 29899])).
% 17.64/12.45 tff(29902,plain,
% 17.64/12.45 (~node9(s374)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29901, 88, 29894])).
% 17.64/12.45 tff(29903,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s374, c_n2) | (~node10(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s374, c_n2) | (~node10(s374)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29904,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s374, c_n2) | (~node10(s374)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29905,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s374, c_n2) | (~node10(s374))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29904, 29903])).
% 17.64/12.45 tff(29906,plain,
% 17.64/12.45 (~node10(s374)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29905, 249, 29894])).
% 17.64/12.45 tff(29907,plain,
% 17.64/12.45 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s374, c_t2)) | (~m_main_v_state2(s374, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s374, c_t2)) | (~m_main_v_state2(s374, c_c2)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29908,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s374, c_t2)) | (~m_main_v_state2(s374, c_c2)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29909,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s374, c_t2)) | (~m_main_v_state2(s374, c_c2))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29908, 29907])).
% 17.64/12.45 tff(29910,plain,
% 17.64/12.45 (~m_main_v_state2(s374, c_c2)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29909, 260, 29890])).
% 17.64/12.45 tff(29911,plain,
% 17.64/12.45 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_c2)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29912,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_c2)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29913,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_c2))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29912, 29911])).
% 17.64/12.45 tff(29914,plain,
% 17.64/12.45 (~m_main_v_state2(s373, c_c2)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29913, 697, 29846])).
% 17.64/12.45 tff(29915,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s373, c_c2) | (~node3(s373)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s373, c_c2) | (~node3(s373)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29916,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s373, c_c2) | (~node3(s373)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29917,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s373, c_c2) | (~node3(s373))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29916, 29915])).
% 17.64/12.45 tff(29918,plain,
% 17.64/12.45 (~node3(s373)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29917, 399, 29914])).
% 17.64/12.45 tff(29919,plain,
% 17.64/12.45 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29920,plain,
% 17.64/12.45 (((~node6(s372, s373)) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1))) <=> (m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29921,plain,
% 17.64/12.45 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s372, s373)) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, 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(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373))))),
% 17.64/12.45 inference(monotonicity,[status(thm)],[29920])).
% 17.64/12.45 tff(29922,plain,
% 17.64/12.45 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s372, s373)) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, 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(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373)))),
% 17.64/12.45 inference(transitivity,[status(thm)],[29921, 29919])).
% 17.64/12.45 tff(29923,plain,
% 17.64/12.45 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s372, s373)) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29924,plain,
% 17.64/12.45 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29923, 29922])).
% 17.64/12.45 tff(29925,plain,
% 17.64/12.45 (~m_main_v_state1(s373, c_n1)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29924, 835, 29718, 29803])).
% 17.64/12.45 tff(29926,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s373, c_n1) | (~node2(s373)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s373, c_n1) | (~node2(s373)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29927,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s373, c_n1) | (~node2(s373)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29928,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s373, c_n1) | (~node2(s373))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29927, 29926])).
% 17.64/12.45 tff(29929,plain,
% 17.64/12.45 (~node2(s373)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29928, 787, 29925])).
% 17.64/12.45 tff(29930,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s373, c_t2) | (~node1(s373)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s373, c_t2) | (~node1(s373)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29931,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s373, c_t2) | (~node1(s373)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29932,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s373, c_t2) | (~node1(s373))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29931, 29930])).
% 17.64/12.45 tff(29933,plain,
% 17.64/12.45 (~node1(s373)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29932, 195, 29850])).
% 17.64/12.45 tff(29934,plain,
% 17.64/12.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s373, s374)) | node7(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s373, s374)) | node7(s373, s374))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29935,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s373, s374)) | node7(s373, s374))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29936,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s373, s374)) | node7(s373, s374)),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29935, 29934])).
% 17.64/12.45 tff(29937,plain,
% 17.64/12.45 (node7(s373, s374)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29936, 206, 29861])).
% 17.64/12.45 tff(29938,plain,
% 17.64/12.45 (((~![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(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29939,plain,
% 17.64/12.45 (((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)) | m_main_v_state1(s374, c_c1)) <=> ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29940,plain,
% 17.64/12.45 (((~![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(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)) | m_main_v_state1(s374, 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(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374))))),
% 17.64/12.45 inference(monotonicity,[status(thm)],[29939])).
% 17.64/12.45 tff(29941,plain,
% 17.64/12.45 (((~![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(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)) | m_main_v_state1(s374, 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(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)))),
% 17.64/12.45 inference(transitivity,[status(thm)],[29940, 29938])).
% 17.64/12.45 tff(29942,plain,
% 17.64/12.45 ((~![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(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)) | m_main_v_state1(s374, c_c1))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29943,plain,
% 17.64/12.45 ((~![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(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29942, 29941])).
% 17.64/12.45 tff(29944,plain,
% 17.64/12.45 ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29943, 892, 29937])).
% 17.64/12.45 tff(29945,plain,
% 17.64/12.45 (m_main_v_state1(s374, c_c1)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29944, 29933, 29846, 29810, 29929, 29918])).
% 17.64/12.45 tff(29946,plain,
% 17.64/12.45 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s374, c_n1)) | (~m_main_v_state1(s374, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s374, c_n1)) | (~m_main_v_state1(s374, c_c1)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29947,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s374, c_n1)) | (~m_main_v_state1(s374, c_c1)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29948,plain,
% 17.64/12.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s374, c_n1)) | (~m_main_v_state1(s374, c_c1))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29947, 29946])).
% 17.64/12.45 tff(29949,plain,
% 17.64/12.45 (~m_main_v_state1(s374, c_n1)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29948, 454, 29945])).
% 17.64/12.45 tff(29950,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s374, c_n1) | (~node11(s374)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s374, c_n1) | (~node11(s374)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29951,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s374, c_n1) | (~node11(s374)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29952,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s374, c_n1) | (~node11(s374))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29951, 29950])).
% 17.64/12.45 tff(29953,plain,
% 17.64/12.45 (~node11(s374)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29952, 238, 29949])).
% 17.64/12.45 tff(29954,plain,
% 17.64/12.45 (succ(s374, s375) <=> succ(s374, s375)),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29955,axiom,(succ(s374, s375)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound375')).
% 17.64/12.45 tff(29956,plain,
% 17.64/12.45 (succ(s374, s375)),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29955, 29954])).
% 17.64/12.45 tff(29957,plain,
% 17.64/12.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s374, s375)) | trans(s374, s375))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s374, s375)) | trans(s374, s375))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29958,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s374, s375)) | trans(s374, s375))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29959,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s374, s375)) | trans(s374, s375)),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29958, 29957])).
% 17.64/12.45 tff(29960,plain,
% 17.64/12.45 (trans(s374, s375)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29959, 29956, 32])).
% 17.64/12.45 tff(29961,plain,
% 17.64/12.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s374, s375)) | node14(s374, s375))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s374, s375)) | node14(s374, s375))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29962,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s374, s375)) | node14(s374, s375))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29963,plain,
% 17.64/12.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s374, s375)) | node14(s374, s375)),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29962, 29961])).
% 17.64/12.45 tff(29964,plain,
% 17.64/12.45 (node14(s374, s375)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29963, 46, 29960])).
% 17.64/12.45 tff(29965,plain,
% 17.64/12.45 (((~![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(s374, c_c2) | node9(s374) | node8(s374) | node10(s374) | node11(s374) | node12(s374) | node13(s374, s375) | (~node14(s374, s375)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s374, c_c2) | node9(s374) | node8(s374) | node10(s374) | node11(s374) | node12(s374) | node13(s374, s375) | (~node14(s374, s375)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29966,plain,
% 17.64/12.45 ((~![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(s374, c_c2) | node9(s374) | node8(s374) | node10(s374) | node11(s374) | node12(s374) | node13(s374, s375) | (~node14(s374, s375)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29967,plain,
% 17.64/12.45 ((~![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(s374, c_c2) | node9(s374) | node8(s374) | node10(s374) | node11(s374) | node12(s374) | node13(s374, s375) | (~node14(s374, s375))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29966, 29965])).
% 17.64/12.45 tff(29968,plain,
% 17.64/12.45 (m_main_v_state2(s374, c_c2) | node9(s374) | node8(s374) | node10(s374) | node11(s374) | node12(s374) | node13(s374, s375)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29967, 296, 29964])).
% 17.64/12.45 tff(29969,plain,
% 17.64/12.45 (node13(s374, s375)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29968, 29953, 29910, 29906, 29902, 29898, 29881])).
% 17.64/12.45 tff(29970,plain,
% 17.64/12.45 (((~![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(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29971,plain,
% 17.64/12.45 (((~node13(s374, s375)) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2))) <=> (m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29972,plain,
% 17.64/12.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s374, s375)) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, 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(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375))))),
% 17.64/12.45 inference(monotonicity,[status(thm)],[29971])).
% 17.64/12.45 tff(29973,plain,
% 17.64/12.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s374, s375)) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, 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(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375)))),
% 17.64/12.45 inference(transitivity,[status(thm)],[29972, 29970])).
% 17.64/12.45 tff(29974,plain,
% 17.64/12.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s374, s375)) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29975,plain,
% 17.64/12.45 ((~![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(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29974, 29973])).
% 17.64/12.45 tff(29976,plain,
% 17.64/12.45 (~m_main_v_state2(s375, c_n2)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29975, 311, 29894, 29969])).
% 17.64/12.45 tff(29977,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s375, c_n2) | (~node9(s375)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s375, c_n2) | (~node9(s375)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29978,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s375, c_n2) | (~node9(s375)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29979,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s375, c_n2) | (~node9(s375))),
% 17.64/12.45 inference(modus_ponens,[status(thm)],[29978, 29977])).
% 17.64/12.45 tff(29980,plain,
% 17.64/12.45 (~node9(s375)),
% 17.64/12.45 inference(unit_resolution,[status(thm)],[29979, 88, 29976])).
% 17.64/12.45 tff(29981,plain,
% 17.64/12.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s375, c_n2) | (~node10(s375)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s375, c_n2) | (~node10(s375)))),
% 17.64/12.45 inference(rewrite,[status(thm)],[])).
% 17.64/12.45 tff(29982,plain,
% 17.64/12.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s375, c_n2) | (~node10(s375)))),
% 17.64/12.45 inference(quant_inst,[status(thm)],[])).
% 17.64/12.45 tff(29983,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s375, c_n2) | (~node10(s375))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[29982, 29981])).
% 17.64/12.46 tff(29984,plain,
% 17.64/12.46 (~node10(s375)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[29983, 249, 29976])).
% 17.64/12.46 tff(29985,plain,
% 17.64/12.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(29986,plain,
% 17.64/12.46 (((~node13(s374, s375)) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2)) <=> ((~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(29987,plain,
% 17.64/12.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s374, s375)) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, 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(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375))))),
% 17.64/12.46 inference(monotonicity,[status(thm)],[29986])).
% 17.64/12.46 tff(29988,plain,
% 17.64/12.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s374, s375)) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, 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(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375)))),
% 17.64/12.46 inference(transitivity,[status(thm)],[29987, 29985])).
% 17.64/12.46 tff(29989,plain,
% 17.64/12.46 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s374, s375)) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(29990,plain,
% 17.64/12.46 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[29989, 29988])).
% 17.64/12.46 tff(29991,plain,
% 17.64/12.46 (m_main_v_state2(s375, c_t2)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[29990, 518, 29890, 29969])).
% 17.64/12.46 tff(29992,plain,
% 17.64/12.46 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s374, c_t1)) | (~m_main_v_state1(s374, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s374, c_t1)) | (~m_main_v_state1(s374, c_c1)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(29993,plain,
% 17.64/12.46 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s374, c_t1)) | (~m_main_v_state1(s374, c_c1)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(29994,plain,
% 17.64/12.46 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s374, c_t1)) | (~m_main_v_state1(s374, c_c1))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[29993, 29992])).
% 17.64/12.46 tff(29995,plain,
% 17.64/12.46 (~m_main_v_state1(s374, c_t1)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[29994, 539, 29945])).
% 17.64/12.46 tff(29996,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s374, c_t1) | (~node5(s374)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s374, c_t1) | (~node5(s374)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(29997,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s374, c_t1) | (~node5(s374)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(29998,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s374, c_t1) | (~node5(s374))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[29997, 29996])).
% 17.64/12.46 tff(29999,plain,
% 17.64/12.46 (~node5(s374)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[29998, 550, 29995])).
% 17.64/12.46 tff(30000,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s374, c_n2) | (~node4(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s374, c_n2) | (~node4(s374)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30001,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s374, c_n2) | (~node4(s374)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30002,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s374, c_n2) | (~node4(s374))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30001, 30000])).
% 17.64/12.46 tff(30003,plain,
% 17.64/12.46 (~node4(s374)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30002, 388, 29894])).
% 17.64/12.46 tff(30004,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s374, c_c2) | (~node3(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s374, c_c2) | (~node3(s374)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30005,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s374, c_c2) | (~node3(s374)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30006,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s374, c_c2) | (~node3(s374))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30005, 30004])).
% 17.64/12.46 tff(30007,plain,
% 17.64/12.46 (~node3(s374)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30006, 399, 29910])).
% 17.64/12.46 tff(30008,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s374, c_n2) | (~node2(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s374, c_n2) | (~node2(s374)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30009,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s374, c_n2) | (~node2(s374)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30010,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s374, c_n2) | (~node2(s374))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30009, 30008])).
% 17.64/12.46 tff(30011,plain,
% 17.64/12.46 (~node2(s374)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30010, 410, 29894])).
% 17.64/12.46 tff(30012,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s374, c_n1) | (~node1(s374)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s374, c_n1) | (~node1(s374)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30013,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s374, c_n1) | (~node1(s374)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30014,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s374, c_n1) | (~node1(s374))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30013, 30012])).
% 17.64/12.46 tff(30015,plain,
% 17.64/12.46 (~node1(s374)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30014, 421, 29949])).
% 17.64/12.46 tff(30016,plain,
% 17.64/12.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s374, s375)) | node7(s374, s375))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s374, s375)) | node7(s374, s375))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30017,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s374, s375)) | node7(s374, s375))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30018,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s374, s375)) | node7(s374, s375)),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30017, 30016])).
% 17.64/12.46 tff(30019,plain,
% 17.64/12.46 (node7(s374, s375)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30018, 206, 29960])).
% 17.64/12.46 tff(30020,plain,
% 17.64/12.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30021,plain,
% 17.64/12.46 (((~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)) | m_main_v_state1(s375, c_n1)) <=> (m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30022,plain,
% 17.64/12.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)) | m_main_v_state1(s375, 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(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375))))),
% 17.64/12.46 inference(monotonicity,[status(thm)],[30021])).
% 17.64/12.46 tff(30023,plain,
% 17.64/12.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)) | m_main_v_state1(s375, 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(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)))),
% 17.64/12.46 inference(transitivity,[status(thm)],[30022, 30020])).
% 17.64/12.46 tff(30024,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)) | m_main_v_state1(s375, c_n1))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30025,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30024, 30023])).
% 17.64/12.46 tff(30026,plain,
% 17.64/12.46 (m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30025, 584, 30019])).
% 17.64/12.46 tff(30027,plain,
% 17.64/12.46 (m_main_v_state1(s375, c_n1)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30026, 30015, 29945, 30011, 30007, 30003, 29999])).
% 17.64/12.46 tff(30028,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s375, c_n2) | (~node8(s375)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s375, c_n2) | (~node8(s375)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30029,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s375, c_n2) | (~node8(s375)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30030,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s375, c_n2) | (~node8(s375))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30029, 30028])).
% 17.64/12.46 tff(30031,plain,
% 17.64/12.46 (~node8(s375)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30030, 271, 29976])).
% 17.64/12.46 tff(30032,plain,
% 17.64/12.46 (succ(s375, s376) <=> succ(s375, s376)),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30033,axiom,(succ(s375, s376)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound376')).
% 17.64/12.46 tff(30034,plain,
% 17.64/12.46 (succ(s375, s376)),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30033, 30032])).
% 17.64/12.46 tff(30035,plain,
% 17.64/12.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s375, s376)) | trans(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s375, s376)) | trans(s375, s376))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30036,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s375, s376)) | trans(s375, s376))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30037,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s375, s376)) | trans(s375, s376)),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30036, 30035])).
% 17.64/12.46 tff(30038,plain,
% 17.64/12.46 (trans(s375, s376)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30037, 30034, 32])).
% 17.64/12.46 tff(30039,plain,
% 17.64/12.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s375, s376)) | node14(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s375, s376)) | node14(s375, s376))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30040,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s375, s376)) | node14(s375, s376))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30041,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s375, s376)) | node14(s375, s376)),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30040, 30039])).
% 17.64/12.46 tff(30042,plain,
% 17.64/12.46 (node14(s375, s376)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30041, 46, 30038])).
% 17.64/12.46 tff(30043,plain,
% 17.64/12.46 (((~![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(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | node9(s375) | node8(s375) | node10(s375) | (~node14(s375, s376)) | m_main_v_state2(s376, 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(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | node9(s375) | node8(s375) | node10(s375) | (~node14(s375, s376)) | m_main_v_state2(s376, c_c2))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30044,plain,
% 17.64/12.46 ((~![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(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | node9(s375) | node8(s375) | node10(s375) | (~node14(s375, s376)) | m_main_v_state2(s376, c_c2))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30045,plain,
% 17.64/12.46 ((~![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(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | node9(s375) | node8(s375) | node10(s375) | (~node14(s375, s376)) | m_main_v_state2(s376, c_c2)),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30044, 30043])).
% 17.64/12.46 tff(30046,plain,
% 17.64/12.46 ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | node9(s375) | node8(s375) | node10(s375) | m_main_v_state2(s376, c_c2)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30045, 617, 30042])).
% 17.64/12.46 tff(30047,plain,
% 17.64/12.46 (m_main_v_state2(s376, c_c2)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30046, 30031, 30027, 29991, 29984, 29980])).
% 17.64/12.46 tff(30048,plain,
% 17.64/12.46 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s376, c_t2)) | (~m_main_v_state2(s376, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s376, c_t2)) | (~m_main_v_state2(s376, c_c2)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30049,plain,
% 17.64/12.46 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s376, c_t2)) | (~m_main_v_state2(s376, c_c2)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30050,plain,
% 17.64/12.46 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s376, c_t2)) | (~m_main_v_state2(s376, c_c2))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30049, 30048])).
% 17.64/12.46 tff(30051,plain,
% 17.64/12.46 (~m_main_v_state2(s376, c_t2)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30050, 260, 30047])).
% 17.64/12.46 tff(30052,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s376, c_t2) | (~node12(s376)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s376, c_t2) | (~node12(s376)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30053,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s376, c_t2) | (~node12(s376)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30054,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s376, c_t2) | (~node12(s376))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30053, 30052])).
% 17.64/12.46 tff(30055,plain,
% 17.64/12.46 (~node12(s376)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30054, 633, 30051])).
% 17.64/12.46 tff(30056,plain,
% 17.64/12.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s375, s376)) | node7(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s375, s376)) | node7(s375, s376))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30057,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s375, s376)) | node7(s375, s376))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30058,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s375, s376)) | node7(s375, s376)),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30057, 30056])).
% 17.64/12.46 tff(30059,plain,
% 17.64/12.46 (node7(s375, s376)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30058, 206, 30038])).
% 17.64/12.46 tff(30060,plain,
% 17.64/12.46 (((~![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(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node7(s375, s376)) | m_main_v_state1(s376, 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(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node7(s375, s376)) | m_main_v_state1(s376, c_t1))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30061,plain,
% 17.64/12.46 ((~![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(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node7(s375, s376)) | m_main_v_state1(s376, c_t1))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30062,plain,
% 17.64/12.46 ((~![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(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node7(s375, s376)) | m_main_v_state1(s376, c_t1)),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30061, 30060])).
% 17.64/12.46 tff(30063,plain,
% 17.64/12.46 ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | m_main_v_state1(s376, c_t1)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30062, 651, 30059])).
% 17.64/12.46 tff(30064,plain,
% 17.64/12.46 (m_main_v_state1(s376, c_t1)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30063, 29991, 30027])).
% 17.64/12.46 tff(30065,plain,
% 17.64/12.46 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s376, c_n1)) | (~m_main_v_state1(s376, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s376, c_n1)) | (~m_main_v_state1(s376, c_t1)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30066,plain,
% 17.64/12.46 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s376, c_n1)) | (~m_main_v_state1(s376, c_t1)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30067,plain,
% 17.64/12.46 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s376, c_n1)) | (~m_main_v_state1(s376, c_t1))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30066, 30065])).
% 17.64/12.46 tff(30068,plain,
% 17.64/12.46 (~m_main_v_state1(s376, c_n1)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30067, 10, 30064])).
% 17.64/12.46 tff(30069,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s376, c_n1) | (~node11(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s376, c_n1) | (~node11(s376)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30070,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s376, c_n1) | (~node11(s376)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30071,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s376, c_n1) | (~node11(s376))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30070, 30069])).
% 17.64/12.46 tff(30072,plain,
% 17.64/12.46 (~node11(s376)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30071, 238, 30068])).
% 17.64/12.46 tff(30073,plain,
% 17.64/12.46 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s376, c_t1)) | (~m_main_v_state1(s376, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s376, c_t1)) | (~m_main_v_state1(s376, c_c1)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30074,plain,
% 17.64/12.46 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s376, c_t1)) | (~m_main_v_state1(s376, c_c1)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30075,plain,
% 17.64/12.46 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s376, c_t1)) | (~m_main_v_state1(s376, c_c1))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30074, 30073])).
% 17.64/12.46 tff(30076,plain,
% 17.64/12.46 (~m_main_v_state1(s376, c_c1)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30075, 539, 30064])).
% 17.64/12.46 tff(30077,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s376, c_c1) | (~node10(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s376, c_c1) | (~node10(s376)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30078,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s376, c_c1) | (~node10(s376)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30079,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s376, c_c1) | (~node10(s376))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30078, 30077])).
% 17.64/12.46 tff(30080,plain,
% 17.64/12.46 (~node10(s376)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30079, 675, 30076])).
% 17.64/12.46 tff(30081,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s376, c_n1) | (~node9(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s376, c_n1) | (~node9(s376)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30082,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s376, c_n1) | (~node9(s376)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30083,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s376, c_n1) | (~node9(s376))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30082, 30081])).
% 17.64/12.46 tff(30084,plain,
% 17.64/12.46 (~node9(s376)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30083, 686, 30068])).
% 17.64/12.46 tff(30085,plain,
% 17.64/12.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s376, c_n2)) | (~m_main_v_state2(s376, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s376, c_n2)) | (~m_main_v_state2(s376, c_c2)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30086,plain,
% 17.64/12.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s376, c_n2)) | (~m_main_v_state2(s376, c_c2)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30087,plain,
% 17.64/12.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s376, c_n2)) | (~m_main_v_state2(s376, c_c2))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30086, 30085])).
% 17.64/12.46 tff(30088,plain,
% 17.64/12.46 (~m_main_v_state2(s376, c_n2)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30087, 697, 30047])).
% 17.64/12.46 tff(30089,plain,
% 17.64/12.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s376, c_n2) | (~node8(s376)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s376, c_n2) | (~node8(s376)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30090,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s376, c_n2) | (~node8(s376)))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30091,plain,
% 17.64/12.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s376, c_n2) | (~node8(s376))),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30090, 30089])).
% 17.64/12.46 tff(30092,plain,
% 17.64/12.46 (~node8(s376)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30091, 271, 30088])).
% 17.64/12.46 tff(30093,plain,
% 17.64/12.46 (succ(s376, s377) <=> succ(s376, s377)),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30094,axiom,(succ(s376, s377)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound377')).
% 17.64/12.46 tff(30095,plain,
% 17.64/12.46 (succ(s376, s377)),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30094, 30093])).
% 17.64/12.46 tff(30096,plain,
% 17.64/12.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s376, s377)) | trans(s376, s377))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s376, s377)) | trans(s376, s377))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30097,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s376, s377)) | trans(s376, s377))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30098,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s376, s377)) | trans(s376, s377)),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30097, 30096])).
% 17.64/12.46 tff(30099,plain,
% 17.64/12.46 (trans(s376, s377)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30098, 30095, 32])).
% 17.64/12.46 tff(30100,plain,
% 17.64/12.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s376, s377)) | node14(s376, s377))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s376, s377)) | node14(s376, s377))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30101,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s376, s377)) | node14(s376, s377))),
% 17.64/12.46 inference(quant_inst,[status(thm)],[])).
% 17.64/12.46 tff(30102,plain,
% 17.64/12.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s376, s377)) | node14(s376, s377)),
% 17.64/12.46 inference(modus_ponens,[status(thm)],[30101, 30100])).
% 17.64/12.46 tff(30103,plain,
% 17.64/12.46 (node14(s376, s377)),
% 17.64/12.46 inference(unit_resolution,[status(thm)],[30102, 46, 30099])).
% 17.64/12.46 tff(30104,plain,
% 17.64/12.46 (((~![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(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, 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(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30105,plain,
% 17.64/12.46 (((~m_main_v_state2(s376, c_c2)) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | m_main_v_state2(s377, c_n2)) <=> (m_main_v_state2(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2)))),
% 17.64/12.46 inference(rewrite,[status(thm)],[])).
% 17.64/12.46 tff(30106,plain,
% 17.64/12.46 (((~![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(s376, c_c2)) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | m_main_v_state2(s377, 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(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2))))),
% 17.64/12.47 inference(monotonicity,[status(thm)],[30105])).
% 17.64/12.47 tff(30107,plain,
% 17.64/12.47 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s376, c_c2)) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | m_main_v_state2(s377, 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(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2)))),
% 17.64/12.47 inference(transitivity,[status(thm)],[30106, 30104])).
% 17.64/12.47 tff(30108,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s376, c_c2)) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | m_main_v_state2(s377, c_n2))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30109,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30108, 30107])).
% 17.64/12.47 tff(30110,plain,
% 17.64/12.47 (m_main_v_state2(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~m_main_v_state2(s376, c_c2))),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30109, 726, 30103])).
% 17.64/12.47 tff(30111,plain,
% 17.64/12.47 (m_main_v_state2(s377, c_n2)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30110, 30092, 30047, 30084, 30080, 30072, 30055])).
% 17.64/12.47 tff(30112,plain,
% 17.64/12.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_c2)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30113,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_c2)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30114,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_c2))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30113, 30112])).
% 17.64/12.47 tff(30115,plain,
% 17.64/12.47 (~m_main_v_state2(s377, c_c2)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30114, 697, 30111])).
% 17.64/12.47 tff(30116,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s377, c_c2) | (~node3(s377)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s377, c_c2) | (~node3(s377)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30117,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s377, c_c2) | (~node3(s377)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30118,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s377, c_c2) | (~node3(s377))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30117, 30116])).
% 17.64/12.47 tff(30119,plain,
% 17.64/12.47 (~node3(s377)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30118, 399, 30115])).
% 17.64/12.47 tff(30120,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s376, c_n1) | (~node1(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s376, c_n1) | (~node1(s376)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30121,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s376, c_n1) | (~node1(s376)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30122,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s376, c_n1) | (~node1(s376))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30121, 30120])).
% 17.64/12.47 tff(30123,plain,
% 17.64/12.47 (~node1(s376)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30122, 421, 30068])).
% 17.64/12.47 tff(30124,plain,
% 17.64/12.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s375, s376)) | node18(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s375, s376)) | node18(s375, s376))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30125,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s375, s376)) | node18(s375, s376))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30126,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s375, s376)) | node18(s375, s376)),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30125, 30124])).
% 17.64/12.47 tff(30127,plain,
% 17.64/12.47 (node18(s375, s376)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30126, 125, 30038])).
% 17.64/12.47 tff(30128,plain,
% 17.64/12.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node18(s375, s376)) | m_main_v_turn(s376, 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(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node18(s375, s376)) | m_main_v_turn(s376, c_2))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30129,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node18(s375, s376)) | m_main_v_turn(s376, c_2))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30130,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node18(s375, s376)) | m_main_v_turn(s376, c_2)),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30129, 30128])).
% 17.64/12.47 tff(30131,plain,
% 17.64/12.47 ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | m_main_v_turn(s376, c_2)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30130, 760, 30127])).
% 17.64/12.47 tff(30132,plain,
% 17.64/12.47 (m_main_v_turn(s376, c_2)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30131, 29991, 30027])).
% 17.64/12.47 tff(30133,plain,
% 17.64/12.47 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s376, c_1)) | (~m_main_v_turn(s376, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s376, c_1)) | (~m_main_v_turn(s376, c_2)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30134,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s376, c_1)) | (~m_main_v_turn(s376, c_2)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30135,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s376, c_1)) | (~m_main_v_turn(s376, c_2))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30134, 30133])).
% 17.64/12.47 tff(30136,plain,
% 17.64/12.47 (~m_main_v_turn(s376, c_1)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30135, 156, 30132])).
% 17.64/12.47 tff(30137,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s376, c_1) | (~node5(s376)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s376, c_1) | (~node5(s376)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30138,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s376, c_1) | (~node5(s376)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30139,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s376, c_1) | (~node5(s376))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30138, 30137])).
% 17.64/12.47 tff(30140,plain,
% 17.64/12.47 (~node5(s376)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30139, 776, 30136])).
% 17.64/12.47 tff(30141,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s376, c_n1) | (~node2(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s376, c_n1) | (~node2(s376)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30142,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s376, c_n1) | (~node2(s376)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30143,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s376, c_n1) | (~node2(s376))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30142, 30141])).
% 17.64/12.47 tff(30144,plain,
% 17.64/12.47 (~node2(s376)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30143, 787, 30068])).
% 17.64/12.47 tff(30145,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s376, c_n1) | (~node3(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s376, c_n1) | (~node3(s376)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30146,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s376, c_n1) | (~node3(s376)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30147,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s376, c_n1) | (~node3(s376))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30146, 30145])).
% 17.64/12.47 tff(30148,plain,
% 17.64/12.47 (~node3(s376)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30147, 798, 30068])).
% 17.64/12.47 tff(30149,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s376, c_n2) | (~node4(s376)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s376, c_n2) | (~node4(s376)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30150,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s376, c_n2) | (~node4(s376)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30151,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s376, c_n2) | (~node4(s376))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30150, 30149])).
% 17.64/12.47 tff(30152,plain,
% 17.64/12.47 (~node4(s376)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30151, 388, 30088])).
% 17.64/12.47 tff(30153,plain,
% 17.64/12.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s376, s377)) | node7(s376, s377))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s376, s377)) | node7(s376, s377))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30154,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s376, s377)) | node7(s376, s377))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30155,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s376, s377)) | node7(s376, s377)),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30154, 30153])).
% 17.64/12.47 tff(30156,plain,
% 17.64/12.47 (node7(s376, s377)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30155, 206, 30099])).
% 17.64/12.47 tff(30157,plain,
% 17.64/12.47 (((~![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(s376, c_c1) | node1(s376) | node2(s376) | node3(s376) | node4(s376) | node5(s376) | node6(s376, s377) | (~node7(s376, s377)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s376, c_c1) | node1(s376) | node2(s376) | node3(s376) | node4(s376) | node5(s376) | node6(s376, s377) | (~node7(s376, s377)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30158,plain,
% 17.64/12.47 ((~![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(s376, c_c1) | node1(s376) | node2(s376) | node3(s376) | node4(s376) | node5(s376) | node6(s376, s377) | (~node7(s376, s377)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30159,plain,
% 17.64/12.47 ((~![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(s376, c_c1) | node1(s376) | node2(s376) | node3(s376) | node4(s376) | node5(s376) | node6(s376, s377) | (~node7(s376, s377))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30158, 30157])).
% 17.64/12.47 tff(30160,plain,
% 17.64/12.47 (m_main_v_state1(s376, c_c1) | node1(s376) | node2(s376) | node3(s376) | node4(s376) | node5(s376) | node6(s376, s377)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30159, 820, 30156])).
% 17.64/12.47 tff(30161,plain,
% 17.64/12.47 (node6(s376, s377)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30160, 30152, 30076, 30148, 30144, 30140, 30123])).
% 17.64/12.47 tff(30162,plain,
% 17.64/12.47 (((~![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(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30163,plain,
% 17.64/12.47 (((~node6(s376, s377)) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1))) <=> (m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30164,plain,
% 17.64/12.47 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s376, s377)) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, 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(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377))))),
% 17.64/12.47 inference(monotonicity,[status(thm)],[30163])).
% 17.64/12.47 tff(30165,plain,
% 17.64/12.47 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s376, s377)) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, 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(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377)))),
% 17.64/12.47 inference(transitivity,[status(thm)],[30164, 30162])).
% 17.64/12.47 tff(30166,plain,
% 17.64/12.47 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s376, s377)) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30167,plain,
% 17.64/12.47 ((~![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(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30166, 30165])).
% 17.64/12.47 tff(30168,plain,
% 17.64/12.47 (~m_main_v_state1(s377, c_n1)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30167, 835, 30068, 30161])).
% 17.64/12.47 tff(30169,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s377, c_n1) | (~node2(s377)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s377, c_n1) | (~node2(s377)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30170,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s377, c_n1) | (~node2(s377)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30171,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s377, c_n1) | (~node2(s377))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30170, 30169])).
% 17.64/12.47 tff(30172,plain,
% 17.64/12.47 (~node2(s377)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30171, 787, 30168])).
% 17.64/12.47 tff(30173,plain,
% 17.64/12.47 (((~![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(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30174,plain,
% 17.64/12.47 (((~node6(s376, s377)) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1)) <=> ((~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30175,plain,
% 17.64/12.47 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s376, s377)) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, 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(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377))))),
% 17.64/12.47 inference(monotonicity,[status(thm)],[30174])).
% 17.64/12.47 tff(30176,plain,
% 17.64/12.47 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s376, s377)) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, 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(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377)))),
% 17.64/12.47 inference(transitivity,[status(thm)],[30175, 30173])).
% 17.64/12.47 tff(30177,plain,
% 17.64/12.47 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s376, s377)) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30178,plain,
% 17.64/12.47 ((~![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(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30177, 30176])).
% 17.64/12.47 tff(30179,plain,
% 17.64/12.47 (m_main_v_state1(s377, c_t1)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30178, 856, 30064, 30161])).
% 17.64/12.47 tff(30180,plain,
% 17.64/12.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_t2)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30181,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_t2)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30182,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_t2))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30181, 30180])).
% 17.64/12.47 tff(30183,plain,
% 17.64/12.47 (~m_main_v_state2(s377, c_t2)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30182, 77, 30111])).
% 17.64/12.47 tff(30184,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s377, c_t2) | (~node1(s377)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s377, c_t2) | (~node1(s377)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30185,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s377, c_t2) | (~node1(s377)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30186,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s377, c_t2) | (~node1(s377))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30185, 30184])).
% 17.64/12.47 tff(30187,plain,
% 17.64/12.47 (~node1(s377)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30186, 195, 30183])).
% 17.64/12.47 tff(30188,plain,
% 17.64/12.47 (succ(s377, s378) <=> succ(s377, s378)),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30189,axiom,(succ(s377, s378)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound378')).
% 17.64/12.47 tff(30190,plain,
% 17.64/12.47 (succ(s377, s378)),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30189, 30188])).
% 17.64/12.47 tff(30191,plain,
% 17.64/12.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s377, s378)) | trans(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s377, s378)) | trans(s377, s378))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30192,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s377, s378)) | trans(s377, s378))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30193,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s377, s378)) | trans(s377, s378)),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30192, 30191])).
% 17.64/12.47 tff(30194,plain,
% 17.64/12.47 (trans(s377, s378)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30193, 30190, 32])).
% 17.64/12.47 tff(30195,plain,
% 17.64/12.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s377, s378)) | node7(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s377, s378)) | node7(s377, s378))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30196,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s377, s378)) | node7(s377, s378))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30197,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s377, s378)) | node7(s377, s378)),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30196, 30195])).
% 17.64/12.47 tff(30198,plain,
% 17.64/12.47 (node7(s377, s378)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30197, 206, 30194])).
% 17.64/12.47 tff(30199,plain,
% 17.64/12.47 (((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30200,plain,
% 17.64/12.47 (((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)) | m_main_v_state1(s378, c_c1)) <=> ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30201,plain,
% 17.64/12.47 (((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)) | m_main_v_state1(s378, 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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378))))),
% 17.64/12.47 inference(monotonicity,[status(thm)],[30200])).
% 17.64/12.47 tff(30202,plain,
% 17.64/12.47 (((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)) | m_main_v_state1(s378, 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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)))),
% 17.64/12.47 inference(transitivity,[status(thm)],[30201, 30199])).
% 17.64/12.47 tff(30203,plain,
% 17.64/12.47 ((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)) | m_main_v_state1(s378, c_c1))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30204,plain,
% 17.64/12.47 ((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30203, 30202])).
% 17.64/12.47 tff(30205,plain,
% 17.64/12.47 ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30204, 892, 30198])).
% 17.64/12.47 tff(30206,plain,
% 17.64/12.47 (m_main_v_state1(s378, c_c1)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30205, 30187, 30111, 30179, 30172, 30119])).
% 17.64/12.47 tff(30207,plain,
% 17.64/12.47 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s378, c_t1)) | (~m_main_v_state1(s378, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s378, c_t1)) | (~m_main_v_state1(s378, c_c1)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30208,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s378, c_t1)) | (~m_main_v_state1(s378, c_c1)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30209,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s378, c_t1)) | (~m_main_v_state1(s378, c_c1))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30208, 30207])).
% 17.64/12.47 tff(30210,plain,
% 17.64/12.47 (~m_main_v_state1(s378, c_t1)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30209, 539, 30206])).
% 17.64/12.47 tff(30211,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s378, c_t1) | (~node5(s378)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s378, c_t1) | (~node5(s378)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30212,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s378, c_t1) | (~node5(s378)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30213,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s378, c_t1) | (~node5(s378))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30212, 30211])).
% 17.64/12.47 tff(30214,plain,
% 17.64/12.47 (~node5(s378)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30213, 550, 30210])).
% 17.64/12.47 tff(30215,plain,
% 17.64/12.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s377, s378)) | node14(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s377, s378)) | node14(s377, s378))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30216,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s377, s378)) | node14(s377, s378))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30217,plain,
% 17.64/12.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s377, s378)) | node14(s377, s378)),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30216, 30215])).
% 17.64/12.47 tff(30218,plain,
% 17.64/12.47 (node14(s377, s378)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30217, 46, 30194])).
% 17.64/12.47 tff(30219,plain,
% 17.64/12.47 (((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | (~node14(s377, s378)) | m_main_v_state2(s378, 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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | (~node14(s377, s378)) | m_main_v_state2(s378, c_t2))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30220,plain,
% 17.64/12.47 ((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | (~node14(s377, s378)) | m_main_v_state2(s378, c_t2))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30221,plain,
% 17.64/12.47 ((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | (~node14(s377, s378)) | m_main_v_state2(s378, c_t2)),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30220, 30219])).
% 17.64/12.47 tff(30222,plain,
% 17.64/12.47 ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state2(s378, c_t2)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30221, 922, 30218])).
% 17.64/12.47 tff(30223,plain,
% 17.64/12.47 (m_main_v_state2(s378, c_t2)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30222, 30179, 30111])).
% 17.64/12.47 tff(30224,plain,
% 17.64/12.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s378, c_n2)) | (~m_main_v_state2(s378, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s378, c_n2)) | (~m_main_v_state2(s378, c_t2)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30225,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s378, c_n2)) | (~m_main_v_state2(s378, c_t2)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30226,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s378, c_n2)) | (~m_main_v_state2(s378, c_t2))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30225, 30224])).
% 17.64/12.47 tff(30227,plain,
% 17.64/12.47 (~m_main_v_state2(s378, c_n2)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30226, 77, 30223])).
% 17.64/12.47 tff(30228,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s378, c_n2) | (~node4(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s378, c_n2) | (~node4(s378)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30229,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s378, c_n2) | (~node4(s378)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30230,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s378, c_n2) | (~node4(s378))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30229, 30228])).
% 17.64/12.47 tff(30231,plain,
% 17.64/12.47 (~node4(s378)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30230, 388, 30227])).
% 17.64/12.47 tff(30232,plain,
% 17.64/12.47 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s378, c_t2)) | (~m_main_v_state2(s378, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s378, c_t2)) | (~m_main_v_state2(s378, c_c2)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30233,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s378, c_t2)) | (~m_main_v_state2(s378, c_c2)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30234,plain,
% 17.64/12.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s378, c_t2)) | (~m_main_v_state2(s378, c_c2))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30233, 30232])).
% 17.64/12.47 tff(30235,plain,
% 17.64/12.47 (~m_main_v_state2(s378, c_c2)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30234, 260, 30223])).
% 17.64/12.47 tff(30236,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s378, c_c2) | (~node3(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s378, c_c2) | (~node3(s378)))),
% 17.64/12.47 inference(rewrite,[status(thm)],[])).
% 17.64/12.47 tff(30237,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s378, c_c2) | (~node3(s378)))),
% 17.64/12.47 inference(quant_inst,[status(thm)],[])).
% 17.64/12.47 tff(30238,plain,
% 17.64/12.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s378, c_c2) | (~node3(s378))),
% 17.64/12.47 inference(modus_ponens,[status(thm)],[30237, 30236])).
% 17.64/12.47 tff(30239,plain,
% 17.64/12.47 (~node3(s378)),
% 17.64/12.47 inference(unit_resolution,[status(thm)],[30238, 399, 30235])).
% 17.64/12.47 tff(30240,plain,
% 17.64/12.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s378, c_n2) | (~node2(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s378, c_n2) | (~node2(s378)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30241,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s378, c_n2) | (~node2(s378)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30242,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s378, c_n2) | (~node2(s378))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30241, 30240])).
% 17.64/12.48 tff(30243,plain,
% 17.64/12.48 (~node2(s378)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30242, 410, 30227])).
% 17.64/12.48 tff(30244,plain,
% 17.64/12.48 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s378, c_n1)) | (~m_main_v_state1(s378, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s378, c_n1)) | (~m_main_v_state1(s378, c_c1)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30245,plain,
% 17.64/12.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s378, c_n1)) | (~m_main_v_state1(s378, c_c1)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30246,plain,
% 17.64/12.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s378, c_n1)) | (~m_main_v_state1(s378, c_c1))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30245, 30244])).
% 17.64/12.48 tff(30247,plain,
% 17.64/12.48 (~m_main_v_state1(s378, c_n1)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30246, 454, 30206])).
% 17.64/12.48 tff(30248,plain,
% 17.64/12.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s378, c_n1) | (~node1(s378)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s378, c_n1) | (~node1(s378)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30249,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s378, c_n1) | (~node1(s378)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30250,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s378, c_n1) | (~node1(s378))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30249, 30248])).
% 17.64/12.48 tff(30251,plain,
% 17.64/12.48 (~node1(s378)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30250, 421, 30247])).
% 17.64/12.48 tff(30252,plain,
% 17.64/12.48 (succ(s378, s379) <=> succ(s378, s379)),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30253,axiom,(succ(s378, s379)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound379')).
% 17.64/12.48 tff(30254,plain,
% 17.64/12.48 (succ(s378, s379)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30253, 30252])).
% 17.64/12.48 tff(30255,plain,
% 17.64/12.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s378, s379)) | trans(s378, s379))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s378, s379)) | trans(s378, s379))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30256,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s378, s379)) | trans(s378, s379))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30257,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s378, s379)) | trans(s378, s379)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30256, 30255])).
% 17.64/12.48 tff(30258,plain,
% 17.64/12.48 (trans(s378, s379)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30257, 30254, 32])).
% 17.64/12.48 tff(30259,plain,
% 17.64/12.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s378, s379)) | node7(s378, s379))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s378, s379)) | node7(s378, s379))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30260,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s378, s379)) | node7(s378, s379))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30261,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s378, s379)) | node7(s378, s379)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30260, 30259])).
% 17.64/12.48 tff(30262,plain,
% 17.64/12.48 (node7(s378, s379)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30261, 206, 30258])).
% 17.64/12.48 tff(30263,plain,
% 17.64/12.48 (((~![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(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30264,plain,
% 17.64/12.48 (((~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)) | m_main_v_state1(s379, c_n1)) <=> (m_main_v_state1(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30265,plain,
% 17.64/12.48 (((~![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(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)) | m_main_v_state1(s379, 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(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379))))),
% 17.64/12.48 inference(monotonicity,[status(thm)],[30264])).
% 17.64/12.48 tff(30266,plain,
% 17.64/12.48 (((~![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(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)) | m_main_v_state1(s379, 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(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)))),
% 17.64/12.48 inference(transitivity,[status(thm)],[30265, 30263])).
% 17.64/12.48 tff(30267,plain,
% 17.64/12.48 ((~![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(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)) | m_main_v_state1(s379, c_n1))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30268,plain,
% 17.64/12.48 ((~![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(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30267, 30266])).
% 17.64/12.48 tff(30269,plain,
% 17.64/12.48 (m_main_v_state1(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30268, 584, 30262])).
% 17.64/12.48 tff(30270,plain,
% 17.64/12.48 (m_main_v_state1(s379, c_n1)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30269, 30251, 30206, 30243, 30239, 30231, 30214])).
% 17.64/12.48 tff(30271,plain,
% 17.64/12.48 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s377, c_t2) | (~node15(s377)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s377, c_t2) | (~node15(s377)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30272,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s377, c_t2) | (~node15(s377)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30273,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s377, c_t2) | (~node15(s377))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30272, 30271])).
% 17.64/12.48 tff(30274,plain,
% 17.64/12.48 (~node15(s377)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30273, 103, 30183])).
% 17.64/12.48 tff(30275,plain,
% 17.64/12.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s377, s378)) | node18(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s377, s378)) | node18(s377, s378))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30276,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s377, s378)) | node18(s377, s378))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30277,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s377, s378)) | node18(s377, s378)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30276, 30275])).
% 17.64/12.48 tff(30278,plain,
% 17.64/12.48 (node18(s377, s378)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30277, 125, 30194])).
% 17.64/12.48 tff(30279,plain,
% 17.64/12.48 (((~![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(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30280,plain,
% 17.64/12.48 (((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node15(s377) | (~node18(s377, s378)) | m_main_v_turn(s378, c_1)) <=> (node15(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30281,plain,
% 17.64/12.48 (((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node15(s377) | (~node18(s377, s378)) | m_main_v_turn(s378, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1)))),
% 17.64/12.48 inference(monotonicity,[status(thm)],[30280])).
% 17.64/12.48 tff(30282,plain,
% 17.64/12.48 (((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node15(s377) | (~node18(s377, s378)) | m_main_v_turn(s378, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1))),
% 17.64/12.48 inference(transitivity,[status(thm)],[30281, 30279])).
% 17.64/12.48 tff(30283,plain,
% 17.64/12.48 ((~![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(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node15(s377) | (~node18(s377, s378)) | m_main_v_turn(s378, c_1))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30284,plain,
% 17.64/12.48 ((~![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(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30283, 30282])).
% 17.64/12.48 tff(30285,plain,
% 17.64/12.48 (node15(s377) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30284, 992, 30278])).
% 17.64/12.48 tff(30286,plain,
% 17.64/12.48 (m_main_v_turn(s378, c_1)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30285, 30274, 30111, 30179])).
% 17.64/12.48 tff(30287,plain,
% 17.64/12.48 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s378, c_1)) | (~m_main_v_turn(s378, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s378, c_1)) | (~m_main_v_turn(s378, c_2)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30288,plain,
% 17.64/12.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s378, c_1)) | (~m_main_v_turn(s378, c_2)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30289,plain,
% 17.64/12.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s378, c_1)) | (~m_main_v_turn(s378, c_2))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30288, 30287])).
% 17.64/12.48 tff(30290,plain,
% 17.64/12.48 (~m_main_v_turn(s378, c_2)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30289, 156, 30286])).
% 17.64/12.48 tff(30291,plain,
% 17.64/12.48 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s378, c_2) | (~node12(s378)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s378, c_2) | (~node12(s378)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30292,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s378, c_2) | (~node12(s378)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30293,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s378, c_2) | (~node12(s378))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30292, 30291])).
% 17.64/12.48 tff(30294,plain,
% 17.64/12.48 (~node12(s378)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30293, 184, 30290])).
% 17.64/12.48 tff(30295,plain,
% 17.64/12.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s378, c_n2) | (~node8(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s378, c_n2) | (~node8(s378)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30296,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s378, c_n2) | (~node8(s378)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30297,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s378, c_n2) | (~node8(s378))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30296, 30295])).
% 17.64/12.48 tff(30298,plain,
% 17.64/12.48 (~node8(s378)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30297, 271, 30227])).
% 17.64/12.48 tff(30299,plain,
% 17.64/12.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s378, c_n2) | (~node9(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s378, c_n2) | (~node9(s378)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30300,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s378, c_n2) | (~node9(s378)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30301,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s378, c_n2) | (~node9(s378))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30300, 30299])).
% 17.64/12.48 tff(30302,plain,
% 17.64/12.48 (~node9(s378)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30301, 88, 30227])).
% 17.64/12.48 tff(30303,plain,
% 17.64/12.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s378, c_n2) | (~node10(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s378, c_n2) | (~node10(s378)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30304,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s378, c_n2) | (~node10(s378)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30305,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s378, c_n2) | (~node10(s378))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30304, 30303])).
% 17.64/12.48 tff(30306,plain,
% 17.64/12.48 (~node10(s378)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30305, 249, 30227])).
% 17.64/12.48 tff(30307,plain,
% 17.64/12.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s378, c_n1) | (~node11(s378)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s378, c_n1) | (~node11(s378)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30308,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s378, c_n1) | (~node11(s378)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30309,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s378, c_n1) | (~node11(s378))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30308, 30307])).
% 17.64/12.48 tff(30310,plain,
% 17.64/12.48 (~node11(s378)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30309, 238, 30247])).
% 17.64/12.48 tff(30311,plain,
% 17.64/12.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s378, s379)) | node14(s378, s379))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s378, s379)) | node14(s378, s379))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30312,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s378, s379)) | node14(s378, s379))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30313,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s378, s379)) | node14(s378, s379)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30312, 30311])).
% 17.64/12.48 tff(30314,plain,
% 17.64/12.48 (node14(s378, s379)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30313, 46, 30258])).
% 17.64/12.48 tff(30315,plain,
% 17.64/12.48 (((~![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(s378, c_c2) | node9(s378) | node8(s378) | node10(s378) | node11(s378) | node12(s378) | node13(s378, s379) | (~node14(s378, s379)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s378, c_c2) | node9(s378) | node8(s378) | node10(s378) | node11(s378) | node12(s378) | node13(s378, s379) | (~node14(s378, s379)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30316,plain,
% 17.64/12.48 ((~![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(s378, c_c2) | node9(s378) | node8(s378) | node10(s378) | node11(s378) | node12(s378) | node13(s378, s379) | (~node14(s378, s379)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30317,plain,
% 17.64/12.48 ((~![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(s378, c_c2) | node9(s378) | node8(s378) | node10(s378) | node11(s378) | node12(s378) | node13(s378, s379) | (~node14(s378, s379))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30316, 30315])).
% 17.64/12.48 tff(30318,plain,
% 17.64/12.48 (m_main_v_state2(s378, c_c2) | node9(s378) | node8(s378) | node10(s378) | node11(s378) | node12(s378) | node13(s378, s379)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30317, 296, 30314])).
% 17.64/12.48 tff(30319,plain,
% 17.64/12.48 (node13(s378, s379)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30318, 30310, 30235, 30306, 30302, 30298, 30294])).
% 17.64/12.48 tff(30320,plain,
% 17.64/12.48 (((~![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(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30321,plain,
% 17.64/12.48 (((~node13(s378, s379)) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2)) <=> ((~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30322,plain,
% 17.64/12.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s378, s379)) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, 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(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379))))),
% 17.64/12.48 inference(monotonicity,[status(thm)],[30321])).
% 17.64/12.48 tff(30323,plain,
% 17.64/12.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s378, s379)) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, 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(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379)))),
% 17.64/12.48 inference(transitivity,[status(thm)],[30322, 30320])).
% 17.64/12.48 tff(30324,plain,
% 17.64/12.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s378, s379)) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30325,plain,
% 17.64/12.48 ((~![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(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 17.64/12.48 tff(30326,plain,
% 17.64/12.48 (m_main_v_state2(s379, c_t2)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30325, 518, 30223, 30319])).
% 17.64/12.48 tff(30327,plain,
% 17.64/12.48 (succ(s379, s380) <=> succ(s379, s380)),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30328,axiom,(succ(s379, s380)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound380')).
% 17.64/12.48 tff(30329,plain,
% 17.64/12.48 (succ(s379, s380)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30328, 30327])).
% 17.64/12.48 tff(30330,plain,
% 17.64/12.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s379, s380)) | trans(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s379, s380)) | trans(s379, s380))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30331,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s379, s380)) | trans(s379, s380))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30332,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s379, s380)) | trans(s379, s380)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30331, 30330])).
% 17.64/12.48 tff(30333,plain,
% 17.64/12.48 (trans(s379, s380)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30332, 30329, 32])).
% 17.64/12.48 tff(30334,plain,
% 17.64/12.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s379, s380)) | node7(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s379, s380)) | node7(s379, s380))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30335,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s379, s380)) | node7(s379, s380))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30336,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s379, s380)) | node7(s379, s380)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30335, 30334])).
% 17.64/12.48 tff(30337,plain,
% 17.64/12.48 (node7(s379, s380)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30336, 206, 30333])).
% 17.64/12.48 tff(30338,plain,
% 17.64/12.48 (((~![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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node7(s379, s380)) | m_main_v_state1(s380, 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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node7(s379, s380)) | m_main_v_state1(s380, c_t1))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30339,plain,
% 17.64/12.48 ((~![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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node7(s379, s380)) | m_main_v_state1(s380, c_t1))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30340,plain,
% 17.64/12.48 ((~![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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node7(s379, s380)) | m_main_v_state1(s380, c_t1)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30339, 30338])).
% 17.64/12.48 tff(30341,plain,
% 17.64/12.48 ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | m_main_v_state1(s380, c_t1)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30340, 651, 30337])).
% 17.64/12.48 tff(30342,plain,
% 17.64/12.48 (m_main_v_state1(s380, c_t1)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30341, 30326, 30270])).
% 17.64/12.48 tff(30343,plain,
% 17.64/12.48 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s380, c_n1)) | (~m_main_v_state1(s380, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s380, c_n1)) | (~m_main_v_state1(s380, c_t1)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30344,plain,
% 17.64/12.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s380, c_n1)) | (~m_main_v_state1(s380, c_t1)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30345,plain,
% 17.64/12.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s380, c_n1)) | (~m_main_v_state1(s380, c_t1))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30344, 30343])).
% 17.64/12.48 tff(30346,plain,
% 17.64/12.48 (~m_main_v_state1(s380, c_n1)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30345, 10, 30342])).
% 17.64/12.48 tff(30347,plain,
% 17.64/12.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s380, c_n1) | (~node1(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s380, c_n1) | (~node1(s380)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30348,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s380, c_n1) | (~node1(s380)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30349,plain,
% 17.64/12.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s380, c_n1) | (~node1(s380))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30348, 30347])).
% 17.64/12.48 tff(30350,plain,
% 17.64/12.48 (~node1(s380)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30349, 421, 30346])).
% 17.64/12.48 tff(30351,plain,
% 17.64/12.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s379, s380)) | node18(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s379, s380)) | node18(s379, s380))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30352,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s379, s380)) | node18(s379, s380))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30353,plain,
% 17.64/12.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s379, s380)) | node18(s379, s380)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30352, 30351])).
% 17.64/12.48 tff(30354,plain,
% 17.64/12.48 (node18(s379, s380)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30353, 125, 30333])).
% 17.64/12.48 tff(30355,plain,
% 17.64/12.48 (((~![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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node18(s379, s380)) | m_main_v_turn(s380, 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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node18(s379, s380)) | m_main_v_turn(s380, c_2))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30356,plain,
% 17.64/12.48 ((~![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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node18(s379, s380)) | m_main_v_turn(s380, c_2))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30357,plain,
% 17.64/12.48 ((~![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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node18(s379, s380)) | m_main_v_turn(s380, c_2)),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30356, 30355])).
% 17.64/12.48 tff(30358,plain,
% 17.64/12.48 ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | m_main_v_turn(s380, c_2)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30357, 760, 30354])).
% 17.64/12.48 tff(30359,plain,
% 17.64/12.48 (m_main_v_turn(s380, c_2)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30358, 30326, 30270])).
% 17.64/12.48 tff(30360,plain,
% 17.64/12.48 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s380, c_1)) | (~m_main_v_turn(s380, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s380, c_1)) | (~m_main_v_turn(s380, c_2)))),
% 17.64/12.48 inference(rewrite,[status(thm)],[])).
% 17.64/12.48 tff(30361,plain,
% 17.64/12.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s380, c_1)) | (~m_main_v_turn(s380, c_2)))),
% 17.64/12.48 inference(quant_inst,[status(thm)],[])).
% 17.64/12.48 tff(30362,plain,
% 17.64/12.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s380, c_1)) | (~m_main_v_turn(s380, c_2))),
% 17.64/12.48 inference(modus_ponens,[status(thm)],[30361, 30360])).
% 17.64/12.48 tff(30363,plain,
% 17.64/12.48 (~m_main_v_turn(s380, c_1)),
% 17.64/12.48 inference(unit_resolution,[status(thm)],[30362, 156, 30359])).
% 17.64/12.48 tff(30364,plain,
% 17.64/12.48 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s380, c_1) | (~node5(s380)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s380, c_1) | (~node5(s380)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30365,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s380, c_1) | (~node5(s380)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30366,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s380, c_1) | (~node5(s380))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30365, 30364])).
% 17.64/12.49 tff(30367,plain,
% 17.64/12.49 (~node5(s380)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30366, 776, 30363])).
% 17.64/12.49 tff(30368,plain,
% 17.64/12.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s380, c_n1) | (~node2(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s380, c_n1) | (~node2(s380)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30369,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s380, c_n1) | (~node2(s380)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30370,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s380, c_n1) | (~node2(s380))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30369, 30368])).
% 17.64/12.49 tff(30371,plain,
% 17.64/12.49 (~node2(s380)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30370, 787, 30346])).
% 17.64/12.49 tff(30372,plain,
% 17.64/12.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s380, c_n1) | (~node3(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s380, c_n1) | (~node3(s380)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30373,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s380, c_n1) | (~node3(s380)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30374,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s380, c_n1) | (~node3(s380))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30373, 30372])).
% 17.64/12.49 tff(30375,plain,
% 17.64/12.49 (~node3(s380)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30374, 798, 30346])).
% 17.64/12.49 tff(30376,plain,
% 17.64/12.49 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s380, c_t1)) | (~m_main_v_state1(s380, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s380, c_t1)) | (~m_main_v_state1(s380, c_c1)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30377,plain,
% 17.64/12.49 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s380, c_t1)) | (~m_main_v_state1(s380, c_c1)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30378,plain,
% 17.64/12.49 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s380, c_t1)) | (~m_main_v_state1(s380, c_c1))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30377, 30376])).
% 17.64/12.49 tff(30379,plain,
% 17.64/12.49 (~m_main_v_state1(s380, c_c1)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30378, 539, 30342])).
% 17.64/12.49 tff(30380,plain,
% 17.64/12.49 (((~![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(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30381,plain,
% 17.64/12.49 (((~node13(s378, s379)) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2))) <=> (m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30382,plain,
% 17.64/12.49 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s378, s379)) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, 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(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379))))),
% 17.64/12.49 inference(monotonicity,[status(thm)],[30381])).
% 17.64/12.49 tff(30383,plain,
% 17.64/12.49 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s378, s379)) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, 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(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379)))),
% 17.64/12.49 inference(transitivity,[status(thm)],[30382, 30380])).
% 17.64/12.49 tff(30384,plain,
% 17.64/12.49 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s378, s379)) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30385,plain,
% 17.64/12.49 ((~![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(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30384, 30383])).
% 17.64/12.49 tff(30386,plain,
% 17.64/12.49 (~m_main_v_state2(s379, c_n2)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30385, 311, 30227, 30319])).
% 17.64/12.49 tff(30387,plain,
% 17.64/12.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s379, c_n2) | (~node9(s379)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s379, c_n2) | (~node9(s379)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30388,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s379, c_n2) | (~node9(s379)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30389,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s379, c_n2) | (~node9(s379))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30388, 30387])).
% 17.64/12.49 tff(30390,plain,
% 17.64/12.49 (~node9(s379)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30389, 88, 30386])).
% 17.64/12.49 tff(30391,plain,
% 17.64/12.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s379, c_n2) | (~node10(s379)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s379, c_n2) | (~node10(s379)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30392,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s379, c_n2) | (~node10(s379)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30393,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s379, c_n2) | (~node10(s379))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30392, 30391])).
% 17.64/12.49 tff(30394,plain,
% 17.64/12.49 (~node10(s379)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30393, 249, 30386])).
% 17.64/12.49 tff(30395,plain,
% 17.64/12.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s379, c_n2) | (~node8(s379)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s379, c_n2) | (~node8(s379)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30396,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s379, c_n2) | (~node8(s379)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30397,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s379, c_n2) | (~node8(s379))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30396, 30395])).
% 17.64/12.49 tff(30398,plain,
% 17.64/12.49 (~node8(s379)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30397, 271, 30386])).
% 17.64/12.49 tff(30399,plain,
% 17.64/12.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s379, s380)) | node14(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s379, s380)) | node14(s379, s380))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30400,plain,
% 17.64/12.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s379, s380)) | node14(s379, s380))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30401,plain,
% 17.64/12.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s379, s380)) | node14(s379, s380)),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30400, 30399])).
% 17.64/12.49 tff(30402,plain,
% 17.64/12.49 (node14(s379, s380)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30401, 46, 30333])).
% 17.64/12.49 tff(30403,plain,
% 17.64/12.49 (((~![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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | node9(s379) | node8(s379) | node10(s379) | (~node14(s379, s380)) | m_main_v_state2(s380, 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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | node9(s379) | node8(s379) | node10(s379) | (~node14(s379, s380)) | m_main_v_state2(s380, c_c2))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30404,plain,
% 17.64/12.49 ((~![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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | node9(s379) | node8(s379) | node10(s379) | (~node14(s379, s380)) | m_main_v_state2(s380, c_c2))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30405,plain,
% 17.64/12.49 ((~![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(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | node9(s379) | node8(s379) | node10(s379) | (~node14(s379, s380)) | m_main_v_state2(s380, c_c2)),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30404, 30403])).
% 17.64/12.49 tff(30406,plain,
% 17.64/12.49 ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | node9(s379) | node8(s379) | node10(s379) | m_main_v_state2(s380, c_c2)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30405, 617, 30402])).
% 17.64/12.49 tff(30407,plain,
% 17.64/12.49 (m_main_v_state2(s380, c_c2)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30406, 30398, 30270, 30326, 30394, 30390])).
% 17.64/12.49 tff(30408,plain,
% 17.64/12.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s380, c_n2)) | (~m_main_v_state2(s380, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s380, c_n2)) | (~m_main_v_state2(s380, c_c2)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30409,plain,
% 17.64/12.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s380, c_n2)) | (~m_main_v_state2(s380, c_c2)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30410,plain,
% 17.64/12.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s380, c_n2)) | (~m_main_v_state2(s380, c_c2))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30409, 30408])).
% 17.64/12.49 tff(30411,plain,
% 17.64/12.49 (~m_main_v_state2(s380, c_n2)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30410, 697, 30407])).
% 17.64/12.49 tff(30412,plain,
% 17.64/12.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s380, c_n2) | (~node4(s380)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s380, c_n2) | (~node4(s380)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30413,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s380, c_n2) | (~node4(s380)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30414,plain,
% 17.64/12.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s380, c_n2) | (~node4(s380))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30413, 30412])).
% 17.64/12.49 tff(30415,plain,
% 17.64/12.49 (~node4(s380)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30414, 388, 30411])).
% 17.64/12.49 tff(30416,plain,
% 17.64/12.49 (succ(s380, s381) <=> succ(s380, s381)),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30417,axiom,(succ(s380, s381)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound381')).
% 17.64/12.49 tff(30418,plain,
% 17.64/12.49 (succ(s380, s381)),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30417, 30416])).
% 17.64/12.49 tff(30419,plain,
% 17.64/12.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s380, s381)) | trans(s380, s381))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s380, s381)) | trans(s380, s381))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30420,plain,
% 17.64/12.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s380, s381)) | trans(s380, s381))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30421,plain,
% 17.64/12.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s380, s381)) | trans(s380, s381)),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30420, 30419])).
% 17.64/12.49 tff(30422,plain,
% 17.64/12.49 (trans(s380, s381)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30421, 30418, 32])).
% 17.64/12.49 tff(30423,plain,
% 17.64/12.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s380, s381)) | node7(s380, s381))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s380, s381)) | node7(s380, s381))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30424,plain,
% 17.64/12.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s380, s381)) | node7(s380, s381))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30425,plain,
% 17.64/12.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s380, s381)) | node7(s380, s381)),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30424, 30423])).
% 17.64/12.49 tff(30426,plain,
% 17.64/12.49 (node7(s380, s381)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30425, 206, 30422])).
% 17.64/12.49 tff(30427,plain,
% 17.64/12.49 (((~![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(s380, c_c1) | node1(s380) | node2(s380) | node3(s380) | node4(s380) | node5(s380) | node6(s380, s381) | (~node7(s380, s381)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s380, c_c1) | node1(s380) | node2(s380) | node3(s380) | node4(s380) | node5(s380) | node6(s380, s381) | (~node7(s380, s381)))),
% 17.64/12.49 inference(rewrite,[status(thm)],[])).
% 17.64/12.49 tff(30428,plain,
% 17.64/12.49 ((~![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(s380, c_c1) | node1(s380) | node2(s380) | node3(s380) | node4(s380) | node5(s380) | node6(s380, s381) | (~node7(s380, s381)))),
% 17.64/12.49 inference(quant_inst,[status(thm)],[])).
% 17.64/12.49 tff(30429,plain,
% 17.64/12.49 ((~![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(s380, c_c1) | node1(s380) | node2(s380) | node3(s380) | node4(s380) | node5(s380) | node6(s380, s381) | (~node7(s380, s381))),
% 17.64/12.49 inference(modus_ponens,[status(thm)],[30428, 30427])).
% 17.64/12.49 tff(30430,plain,
% 17.64/12.49 (m_main_v_state1(s380, c_c1) | node1(s380) | node2(s380) | node3(s380) | node4(s380) | node5(s380) | node6(s380, s381)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30429, 820, 30426])).
% 17.64/12.49 tff(30431,plain,
% 17.64/12.49 (node6(s380, s381)),
% 17.64/12.49 inference(unit_resolution,[status(thm)],[30430, 30415, 30379, 30375, 30371, 30367, 30350])).
% 17.64/12.49 tff(30432,plain,
% 17.64/12.49 (((~![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(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30433,plain,
% 17.69/12.49 (((~node6(s380, s381)) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1)) <=> ((~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30434,plain,
% 17.69/12.49 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s380, s381)) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, 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(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381))))),
% 17.69/12.49 inference(monotonicity,[status(thm)],[30433])).
% 17.69/12.49 tff(30435,plain,
% 17.69/12.49 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s380, s381)) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, 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(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381)))),
% 17.69/12.49 inference(transitivity,[status(thm)],[30434, 30432])).
% 17.69/12.49 tff(30436,plain,
% 17.69/12.49 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s380, s381)) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30437,plain,
% 17.69/12.49 ((~![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(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381))),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30436, 30435])).
% 17.69/12.49 tff(30438,plain,
% 17.69/12.49 (m_main_v_state1(s381, c_t1)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30437, 856, 30342, 30431])).
% 17.69/12.49 tff(30439,plain,
% 17.69/12.49 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s380, c_t2)) | (~m_main_v_state2(s380, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s380, c_t2)) | (~m_main_v_state2(s380, c_c2)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30440,plain,
% 17.69/12.49 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s380, c_t2)) | (~m_main_v_state2(s380, c_c2)))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30441,plain,
% 17.69/12.49 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s380, c_t2)) | (~m_main_v_state2(s380, c_c2))),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30440, 30439])).
% 17.69/12.49 tff(30442,plain,
% 17.69/12.49 (~m_main_v_state2(s380, c_t2)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30441, 260, 30407])).
% 17.69/12.49 tff(30443,plain,
% 17.69/12.49 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s380, c_t2) | (~node12(s380)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s380, c_t2) | (~node12(s380)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30444,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s380, c_t2) | (~node12(s380)))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30445,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s380, c_t2) | (~node12(s380))),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30444, 30443])).
% 17.69/12.49 tff(30446,plain,
% 17.69/12.49 (~node12(s380)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30445, 633, 30442])).
% 17.69/12.49 tff(30447,plain,
% 17.69/12.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s380, c_n1) | (~node11(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s380, c_n1) | (~node11(s380)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30448,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s380, c_n1) | (~node11(s380)))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30449,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s380, c_n1) | (~node11(s380))),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30448, 30447])).
% 17.69/12.49 tff(30450,plain,
% 17.69/12.49 (~node11(s380)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30449, 238, 30346])).
% 17.69/12.49 tff(30451,plain,
% 17.69/12.49 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s380, c_c1) | (~node10(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s380, c_c1) | (~node10(s380)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30452,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s380, c_c1) | (~node10(s380)))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30453,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s380, c_c1) | (~node10(s380))),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30452, 30451])).
% 17.69/12.49 tff(30454,plain,
% 17.69/12.49 (~node10(s380)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30453, 675, 30379])).
% 17.69/12.49 tff(30455,plain,
% 17.69/12.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s380, c_n1) | (~node9(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s380, c_n1) | (~node9(s380)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30456,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s380, c_n1) | (~node9(s380)))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30457,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s380, c_n1) | (~node9(s380))),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30456, 30455])).
% 17.69/12.49 tff(30458,plain,
% 17.69/12.49 (~node9(s380)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30457, 686, 30346])).
% 17.69/12.49 tff(30459,plain,
% 17.69/12.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s380, c_n2) | (~node8(s380)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s380, c_n2) | (~node8(s380)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30460,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s380, c_n2) | (~node8(s380)))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30461,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s380, c_n2) | (~node8(s380))),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30460, 30459])).
% 17.69/12.49 tff(30462,plain,
% 17.69/12.49 (~node8(s380)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30461, 271, 30411])).
% 17.69/12.49 tff(30463,plain,
% 17.69/12.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s380, s381)) | node14(s380, s381))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s380, s381)) | node14(s380, s381))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30464,plain,
% 17.69/12.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s380, s381)) | node14(s380, s381))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30465,plain,
% 17.69/12.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s380, s381)) | node14(s380, s381)),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30464, 30463])).
% 17.69/12.49 tff(30466,plain,
% 17.69/12.49 (node14(s380, s381)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30465, 46, 30422])).
% 17.69/12.49 tff(30467,plain,
% 17.69/12.49 (((~![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(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, 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(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30468,plain,
% 17.69/12.49 (((~m_main_v_state2(s380, c_c2)) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | m_main_v_state2(s381, c_n2)) <=> (m_main_v_state2(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30469,plain,
% 17.69/12.49 (((~![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(s380, c_c2)) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | m_main_v_state2(s381, 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(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2))))),
% 17.69/12.49 inference(monotonicity,[status(thm)],[30468])).
% 17.69/12.49 tff(30470,plain,
% 17.69/12.49 (((~![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(s380, c_c2)) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | m_main_v_state2(s381, 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(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2)))),
% 17.69/12.49 inference(transitivity,[status(thm)],[30469, 30467])).
% 17.69/12.49 tff(30471,plain,
% 17.69/12.49 ((~![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(s380, c_c2)) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | m_main_v_state2(s381, c_n2))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30472,plain,
% 17.69/12.49 ((~![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(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2))),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 17.69/12.49 tff(30473,plain,
% 17.69/12.49 (m_main_v_state2(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~m_main_v_state2(s380, c_c2))),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30472, 726, 30466])).
% 17.69/12.49 tff(30474,plain,
% 17.69/12.49 (m_main_v_state2(s381, c_n2)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30473, 30462, 30407, 30458, 30454, 30450, 30446])).
% 17.69/12.49 tff(30475,plain,
% 17.69/12.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_t2)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30476,plain,
% 17.69/12.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_t2)))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30477,plain,
% 17.69/12.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_t2))),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30476, 30475])).
% 17.69/12.49 tff(30478,plain,
% 17.69/12.49 (~m_main_v_state2(s381, c_t2)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30477, 77, 30474])).
% 17.69/12.49 tff(30479,plain,
% 17.69/12.49 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s381, c_t2) | (~node15(s381)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s381, c_t2) | (~node15(s381)))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30480,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s381, c_t2) | (~node15(s381)))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30481,plain,
% 17.69/12.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s381, c_t2) | (~node15(s381))),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30480, 30479])).
% 17.69/12.49 tff(30482,plain,
% 17.69/12.49 (~node15(s381)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30481, 103, 30478])).
% 17.69/12.49 tff(30483,plain,
% 17.69/12.49 (succ(s381, s382) <=> succ(s381, s382)),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30484,axiom,(succ(s381, s382)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound382')).
% 17.69/12.49 tff(30485,plain,
% 17.69/12.49 (succ(s381, s382)),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30484, 30483])).
% 17.69/12.49 tff(30486,plain,
% 17.69/12.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s381, s382)) | trans(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s381, s382)) | trans(s381, s382))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30487,plain,
% 17.69/12.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s381, s382)) | trans(s381, s382))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30488,plain,
% 17.69/12.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s381, s382)) | trans(s381, s382)),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30487, 30486])).
% 17.69/12.49 tff(30489,plain,
% 17.69/12.49 (trans(s381, s382)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30488, 30485, 32])).
% 17.69/12.49 tff(30490,plain,
% 17.69/12.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s381, s382)) | node18(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s381, s382)) | node18(s381, s382))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30491,plain,
% 17.69/12.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s381, s382)) | node18(s381, s382))),
% 17.69/12.49 inference(quant_inst,[status(thm)],[])).
% 17.69/12.49 tff(30492,plain,
% 17.69/12.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s381, s382)) | node18(s381, s382)),
% 17.69/12.49 inference(modus_ponens,[status(thm)],[30491, 30490])).
% 17.69/12.49 tff(30493,plain,
% 17.69/12.49 (node18(s381, s382)),
% 17.69/12.49 inference(unit_resolution,[status(thm)],[30492, 125, 30489])).
% 17.69/12.49 tff(30494,plain,
% 17.69/12.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30495,plain,
% 17.69/12.49 (((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node15(s381) | (~node18(s381, s382)) | m_main_v_turn(s382, c_1)) <=> (node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1))),
% 17.69/12.49 inference(rewrite,[status(thm)],[])).
% 17.69/12.49 tff(30496,plain,
% 17.69/12.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node15(s381) | (~node18(s381, s382)) | m_main_v_turn(s382, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1)))),
% 17.69/12.49 inference(monotonicity,[status(thm)],[30495])).
% 17.69/12.49 tff(30497,plain,
% 17.69/12.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node15(s381) | (~node18(s381, s382)) | m_main_v_turn(s382, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1))),
% 17.69/12.50 inference(transitivity,[status(thm)],[30496, 30494])).
% 17.69/12.50 tff(30498,plain,
% 17.69/12.50 ((~![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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node15(s381) | (~node18(s381, s382)) | m_main_v_turn(s382, c_1))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30499,plain,
% 17.69/12.50 ((~![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(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1)),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30498, 30497])).
% 17.69/12.50 tff(30500,plain,
% 17.69/12.50 (node15(s381) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30499, 992, 30493])).
% 17.69/12.50 tff(30501,plain,
% 17.69/12.50 (m_main_v_turn(s382, c_1)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30500, 30482, 30474, 30438])).
% 17.69/12.50 tff(30502,plain,
% 17.69/12.50 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s382, c_1)) | (~m_main_v_turn(s382, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s382, c_1)) | (~m_main_v_turn(s382, c_2)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30503,plain,
% 17.69/12.50 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s382, c_1)) | (~m_main_v_turn(s382, c_2)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30504,plain,
% 17.69/12.50 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s382, c_1)) | (~m_main_v_turn(s382, c_2))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30503, 30502])).
% 17.69/12.50 tff(30505,plain,
% 17.69/12.50 (~m_main_v_turn(s382, c_2)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30504, 156, 30501])).
% 17.69/12.50 tff(30506,plain,
% 17.69/12.50 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s382, c_2) | (~node12(s382)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s382, c_2) | (~node12(s382)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30507,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s382, c_2) | (~node12(s382)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30508,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s382, c_2) | (~node12(s382))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30507, 30506])).
% 17.69/12.50 tff(30509,plain,
% 17.69/12.50 (~node12(s382)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30508, 184, 30505])).
% 17.69/12.50 tff(30510,plain,
% 17.69/12.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s381, s382)) | node14(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s381, s382)) | node14(s381, s382))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30511,plain,
% 17.69/12.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s381, s382)) | node14(s381, s382))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30512,plain,
% 17.69/12.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s381, s382)) | node14(s381, s382)),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30511, 30510])).
% 17.69/12.50 tff(30513,plain,
% 17.69/12.50 (node14(s381, s382)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30512, 46, 30489])).
% 17.69/12.50 tff(30514,plain,
% 17.69/12.50 (((~![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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | (~node14(s381, s382)) | m_main_v_state2(s382, 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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | (~node14(s381, s382)) | m_main_v_state2(s382, c_t2))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30515,plain,
% 17.69/12.50 ((~![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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | (~node14(s381, s382)) | m_main_v_state2(s382, c_t2))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30516,plain,
% 17.69/12.50 ((~![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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | (~node14(s381, s382)) | m_main_v_state2(s382, c_t2)),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30515, 30514])).
% 17.69/12.50 tff(30517,plain,
% 17.69/12.50 ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state2(s382, c_t2)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30516, 922, 30513])).
% 17.69/12.50 tff(30518,plain,
% 17.69/12.50 (m_main_v_state2(s382, c_t2)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30517, 30438, 30474])).
% 17.69/12.50 tff(30519,plain,
% 17.69/12.50 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s382, c_n2)) | (~m_main_v_state2(s382, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s382, c_n2)) | (~m_main_v_state2(s382, c_t2)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30520,plain,
% 17.69/12.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s382, c_n2)) | (~m_main_v_state2(s382, c_t2)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30521,plain,
% 17.69/12.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s382, c_n2)) | (~m_main_v_state2(s382, c_t2))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30520, 30519])).
% 17.69/12.50 tff(30522,plain,
% 17.69/12.50 (~m_main_v_state2(s382, c_n2)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30521, 77, 30518])).
% 17.69/12.50 tff(30523,plain,
% 17.69/12.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s382, c_n2) | (~node8(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s382, c_n2) | (~node8(s382)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30524,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s382, c_n2) | (~node8(s382)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30525,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s382, c_n2) | (~node8(s382))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30524, 30523])).
% 17.69/12.50 tff(30526,plain,
% 17.69/12.50 (~node8(s382)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30525, 271, 30522])).
% 17.69/12.50 tff(30527,plain,
% 17.69/12.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s382, c_n2) | (~node9(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s382, c_n2) | (~node9(s382)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30528,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s382, c_n2) | (~node9(s382)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30529,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s382, c_n2) | (~node9(s382))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30528, 30527])).
% 17.69/12.50 tff(30530,plain,
% 17.69/12.50 (~node9(s382)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30529, 88, 30522])).
% 17.69/12.50 tff(30531,plain,
% 17.69/12.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s382, c_n2) | (~node10(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s382, c_n2) | (~node10(s382)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30532,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s382, c_n2) | (~node10(s382)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30533,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s382, c_n2) | (~node10(s382))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30532, 30531])).
% 17.69/12.50 tff(30534,plain,
% 17.69/12.50 (~node10(s382)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30533, 249, 30522])).
% 17.69/12.50 tff(30535,plain,
% 17.69/12.50 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s382, c_t2)) | (~m_main_v_state2(s382, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s382, c_t2)) | (~m_main_v_state2(s382, c_c2)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30536,plain,
% 17.69/12.50 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s382, c_t2)) | (~m_main_v_state2(s382, c_c2)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30537,plain,
% 17.69/12.50 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s382, c_t2)) | (~m_main_v_state2(s382, c_c2))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30536, 30535])).
% 17.69/12.50 tff(30538,plain,
% 17.69/12.50 (~m_main_v_state2(s382, c_c2)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30537, 260, 30518])).
% 17.69/12.50 tff(30539,plain,
% 17.69/12.50 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_c2)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30540,plain,
% 17.69/12.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_c2)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30541,plain,
% 17.69/12.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_c2))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30540, 30539])).
% 17.69/12.50 tff(30542,plain,
% 17.69/12.50 (~m_main_v_state2(s381, c_c2)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30541, 697, 30474])).
% 17.69/12.50 tff(30543,plain,
% 17.69/12.50 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s381, c_c2) | (~node3(s381)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s381, c_c2) | (~node3(s381)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30544,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s381, c_c2) | (~node3(s381)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30545,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s381, c_c2) | (~node3(s381))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30544, 30543])).
% 17.69/12.50 tff(30546,plain,
% 17.69/12.50 (~node3(s381)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30545, 399, 30542])).
% 17.69/12.50 tff(30547,plain,
% 17.69/12.50 (((~![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(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30548,plain,
% 17.69/12.50 (((~node6(s380, s381)) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1))) <=> (m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30549,plain,
% 17.69/12.50 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s380, s381)) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, 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(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381))))),
% 17.69/12.50 inference(monotonicity,[status(thm)],[30548])).
% 17.69/12.50 tff(30550,plain,
% 17.69/12.50 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s380, s381)) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, 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(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381)))),
% 17.69/12.50 inference(transitivity,[status(thm)],[30549, 30547])).
% 17.69/12.50 tff(30551,plain,
% 17.69/12.50 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s380, s381)) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30552,plain,
% 17.69/12.50 ((~![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(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30551, 30550])).
% 17.69/12.50 tff(30553,plain,
% 17.69/12.50 (~m_main_v_state1(s381, c_n1)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30552, 835, 30346, 30431])).
% 17.69/12.50 tff(30554,plain,
% 17.69/12.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s381, c_n1) | (~node2(s381)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s381, c_n1) | (~node2(s381)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30555,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s381, c_n1) | (~node2(s381)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30556,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s381, c_n1) | (~node2(s381))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30555, 30554])).
% 17.69/12.50 tff(30557,plain,
% 17.69/12.50 (~node2(s381)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30556, 787, 30553])).
% 17.69/12.50 tff(30558,plain,
% 17.69/12.50 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s381, c_t2) | (~node1(s381)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s381, c_t2) | (~node1(s381)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30559,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s381, c_t2) | (~node1(s381)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30560,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s381, c_t2) | (~node1(s381))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30559, 30558])).
% 17.69/12.50 tff(30561,plain,
% 17.69/12.50 (~node1(s381)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30560, 195, 30478])).
% 17.69/12.50 tff(30562,plain,
% 17.69/12.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s381, s382)) | node7(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s381, s382)) | node7(s381, s382))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30563,plain,
% 17.69/12.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s381, s382)) | node7(s381, s382))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30564,plain,
% 17.69/12.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s381, s382)) | node7(s381, s382)),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30563, 30562])).
% 17.69/12.50 tff(30565,plain,
% 17.69/12.50 (node7(s381, s382)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30564, 206, 30489])).
% 17.69/12.50 tff(30566,plain,
% 17.69/12.50 (((~![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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30567,plain,
% 17.69/12.50 (((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)) | m_main_v_state1(s382, c_c1)) <=> ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30568,plain,
% 17.69/12.50 (((~![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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)) | m_main_v_state1(s382, 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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382))))),
% 17.69/12.50 inference(monotonicity,[status(thm)],[30567])).
% 17.69/12.50 tff(30569,plain,
% 17.69/12.50 (((~![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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)) | m_main_v_state1(s382, 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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)))),
% 17.69/12.50 inference(transitivity,[status(thm)],[30568, 30566])).
% 17.69/12.50 tff(30570,plain,
% 17.69/12.50 ((~![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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)) | m_main_v_state1(s382, c_c1))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30571,plain,
% 17.69/12.50 ((~![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(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30570, 30569])).
% 17.69/12.50 tff(30572,plain,
% 17.69/12.50 ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30571, 892, 30565])).
% 17.69/12.50 tff(30573,plain,
% 17.69/12.50 (m_main_v_state1(s382, c_c1)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30572, 30561, 30474, 30438, 30557, 30546])).
% 17.69/12.50 tff(30574,plain,
% 17.69/12.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s382, c_n1)) | (~m_main_v_state1(s382, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s382, c_n1)) | (~m_main_v_state1(s382, c_c1)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30575,plain,
% 17.69/12.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s382, c_n1)) | (~m_main_v_state1(s382, c_c1)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30576,plain,
% 17.69/12.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s382, c_n1)) | (~m_main_v_state1(s382, c_c1))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30575, 30574])).
% 17.69/12.50 tff(30577,plain,
% 17.69/12.50 (~m_main_v_state1(s382, c_n1)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30576, 454, 30573])).
% 17.69/12.50 tff(30578,plain,
% 17.69/12.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s382, c_n1) | (~node11(s382)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s382, c_n1) | (~node11(s382)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30579,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s382, c_n1) | (~node11(s382)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30580,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s382, c_n1) | (~node11(s382))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30579, 30578])).
% 17.69/12.50 tff(30581,plain,
% 17.69/12.50 (~node11(s382)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30580, 238, 30577])).
% 17.69/12.50 tff(30582,plain,
% 17.69/12.50 (succ(s382, s383) <=> succ(s382, s383)),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30583,axiom,(succ(s382, s383)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound383')).
% 17.69/12.50 tff(30584,plain,
% 17.69/12.50 (succ(s382, s383)),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30583, 30582])).
% 17.69/12.50 tff(30585,plain,
% 17.69/12.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s382, s383)) | trans(s382, s383))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s382, s383)) | trans(s382, s383))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30586,plain,
% 17.69/12.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s382, s383)) | trans(s382, s383))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30587,plain,
% 17.69/12.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s382, s383)) | trans(s382, s383)),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30586, 30585])).
% 17.69/12.50 tff(30588,plain,
% 17.69/12.50 (trans(s382, s383)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30587, 30584, 32])).
% 17.69/12.50 tff(30589,plain,
% 17.69/12.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s382, s383)) | node14(s382, s383))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s382, s383)) | node14(s382, s383))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30590,plain,
% 17.69/12.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s382, s383)) | node14(s382, s383))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30591,plain,
% 17.69/12.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s382, s383)) | node14(s382, s383)),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30590, 30589])).
% 17.69/12.50 tff(30592,plain,
% 17.69/12.50 (node14(s382, s383)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30591, 46, 30588])).
% 17.69/12.50 tff(30593,plain,
% 17.69/12.50 (((~![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(s382, c_c2) | node9(s382) | node8(s382) | node10(s382) | node11(s382) | node12(s382) | node13(s382, s383) | (~node14(s382, s383)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s382, c_c2) | node9(s382) | node8(s382) | node10(s382) | node11(s382) | node12(s382) | node13(s382, s383) | (~node14(s382, s383)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30594,plain,
% 17.69/12.50 ((~![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(s382, c_c2) | node9(s382) | node8(s382) | node10(s382) | node11(s382) | node12(s382) | node13(s382, s383) | (~node14(s382, s383)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30595,plain,
% 17.69/12.50 ((~![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(s382, c_c2) | node9(s382) | node8(s382) | node10(s382) | node11(s382) | node12(s382) | node13(s382, s383) | (~node14(s382, s383))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30594, 30593])).
% 17.69/12.50 tff(30596,plain,
% 17.69/12.50 (m_main_v_state2(s382, c_c2) | node9(s382) | node8(s382) | node10(s382) | node11(s382) | node12(s382) | node13(s382, s383)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30595, 296, 30592])).
% 17.69/12.50 tff(30597,plain,
% 17.69/12.50 (node13(s382, s383)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30596, 30581, 30538, 30534, 30530, 30526, 30509])).
% 17.69/12.50 tff(30598,plain,
% 17.69/12.50 (((~![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(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30599,plain,
% 17.69/12.50 (((~node13(s382, s383)) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2))) <=> (m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30600,plain,
% 17.69/12.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s382, s383)) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, 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(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383))))),
% 17.69/12.50 inference(monotonicity,[status(thm)],[30599])).
% 17.69/12.50 tff(30601,plain,
% 17.69/12.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s382, s383)) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, 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(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383)))),
% 17.69/12.50 inference(transitivity,[status(thm)],[30600, 30598])).
% 17.69/12.50 tff(30602,plain,
% 17.69/12.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s382, s383)) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30603,plain,
% 17.69/12.50 ((~![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(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30602, 30601])).
% 17.69/12.50 tff(30604,plain,
% 17.69/12.50 (~m_main_v_state2(s383, c_n2)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30603, 311, 30522, 30597])).
% 17.69/12.50 tff(30605,plain,
% 17.69/12.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s383, c_n2) | (~node9(s383)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s383, c_n2) | (~node9(s383)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30606,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s383, c_n2) | (~node9(s383)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30607,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s383, c_n2) | (~node9(s383))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30606, 30605])).
% 17.69/12.50 tff(30608,plain,
% 17.69/12.50 (~node9(s383)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30607, 88, 30604])).
% 17.69/12.50 tff(30609,plain,
% 17.69/12.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s383, c_n2) | (~node10(s383)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s383, c_n2) | (~node10(s383)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30610,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s383, c_n2) | (~node10(s383)))),
% 17.69/12.50 inference(quant_inst,[status(thm)],[])).
% 17.69/12.50 tff(30611,plain,
% 17.69/12.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s383, c_n2) | (~node10(s383))),
% 17.69/12.50 inference(modus_ponens,[status(thm)],[30610, 30609])).
% 17.69/12.50 tff(30612,plain,
% 17.69/12.50 (~node10(s383)),
% 17.69/12.50 inference(unit_resolution,[status(thm)],[30611, 249, 30604])).
% 17.69/12.50 tff(30613,plain,
% 17.69/12.50 (((~![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(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30614,plain,
% 17.69/12.50 (((~node13(s382, s383)) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2)) <=> ((~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383)))),
% 17.69/12.50 inference(rewrite,[status(thm)],[])).
% 17.69/12.50 tff(30615,plain,
% 17.69/12.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s382, s383)) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, 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(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383))))),
% 17.69/12.51 inference(monotonicity,[status(thm)],[30614])).
% 17.69/12.51 tff(30616,plain,
% 17.69/12.51 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s382, s383)) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, 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(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383)))),
% 17.69/12.51 inference(transitivity,[status(thm)],[30615, 30613])).
% 17.69/12.51 tff(30617,plain,
% 17.69/12.51 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s382, s383)) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30618,plain,
% 17.69/12.51 ((~![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(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30617, 30616])).
% 17.69/12.51 tff(30619,plain,
% 17.69/12.51 (m_main_v_state2(s383, c_t2)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30618, 518, 30518, 30597])).
% 17.69/12.51 tff(30620,plain,
% 17.69/12.51 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s382, c_t1)) | (~m_main_v_state1(s382, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s382, c_t1)) | (~m_main_v_state1(s382, c_c1)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30621,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s382, c_t1)) | (~m_main_v_state1(s382, c_c1)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30622,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s382, c_t1)) | (~m_main_v_state1(s382, c_c1))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30621, 30620])).
% 17.69/12.51 tff(30623,plain,
% 17.69/12.51 (~m_main_v_state1(s382, c_t1)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30622, 539, 30573])).
% 17.69/12.51 tff(30624,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s382, c_t1) | (~node5(s382)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s382, c_t1) | (~node5(s382)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30625,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s382, c_t1) | (~node5(s382)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30626,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s382, c_t1) | (~node5(s382))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30625, 30624])).
% 17.69/12.51 tff(30627,plain,
% 17.69/12.51 (~node5(s382)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30626, 550, 30623])).
% 17.69/12.51 tff(30628,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s382, c_n2) | (~node4(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s382, c_n2) | (~node4(s382)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30629,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s382, c_n2) | (~node4(s382)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30630,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s382, c_n2) | (~node4(s382))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30629, 30628])).
% 17.69/12.51 tff(30631,plain,
% 17.69/12.51 (~node4(s382)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30630, 388, 30522])).
% 17.69/12.51 tff(30632,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s382, c_c2) | (~node3(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s382, c_c2) | (~node3(s382)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30633,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s382, c_c2) | (~node3(s382)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30634,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s382, c_c2) | (~node3(s382))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30633, 30632])).
% 17.69/12.51 tff(30635,plain,
% 17.69/12.51 (~node3(s382)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30634, 399, 30538])).
% 17.69/12.51 tff(30636,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s382, c_n2) | (~node2(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s382, c_n2) | (~node2(s382)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30637,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s382, c_n2) | (~node2(s382)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30638,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s382, c_n2) | (~node2(s382))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30637, 30636])).
% 17.69/12.51 tff(30639,plain,
% 17.69/12.51 (~node2(s382)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30638, 410, 30522])).
% 17.69/12.51 tff(30640,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s382, c_n1) | (~node1(s382)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s382, c_n1) | (~node1(s382)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30641,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s382, c_n1) | (~node1(s382)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30642,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s382, c_n1) | (~node1(s382))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30641, 30640])).
% 17.69/12.51 tff(30643,plain,
% 17.69/12.51 (~node1(s382)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30642, 421, 30577])).
% 17.69/12.51 tff(30644,plain,
% 17.69/12.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s382, s383)) | node7(s382, s383))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s382, s383)) | node7(s382, s383))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30645,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s382, s383)) | node7(s382, s383))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30646,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s382, s383)) | node7(s382, s383)),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30645, 30644])).
% 17.69/12.51 tff(30647,plain,
% 17.69/12.51 (node7(s382, s383)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30646, 206, 30588])).
% 17.69/12.51 tff(30648,plain,
% 17.69/12.51 (((~![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(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30649,plain,
% 17.69/12.51 (((~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)) | m_main_v_state1(s383, c_n1)) <=> (m_main_v_state1(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30650,plain,
% 17.69/12.51 (((~![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(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)) | m_main_v_state1(s383, 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(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383))))),
% 17.69/12.51 inference(monotonicity,[status(thm)],[30649])).
% 17.69/12.51 tff(30651,plain,
% 17.69/12.51 (((~![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(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)) | m_main_v_state1(s383, 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(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)))),
% 17.69/12.51 inference(transitivity,[status(thm)],[30650, 30648])).
% 17.69/12.51 tff(30652,plain,
% 17.69/12.51 ((~![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(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)) | m_main_v_state1(s383, c_n1))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30653,plain,
% 17.69/12.51 ((~![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(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30652, 30651])).
% 17.69/12.51 tff(30654,plain,
% 17.69/12.51 (m_main_v_state1(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30653, 584, 30647])).
% 17.69/12.51 tff(30655,plain,
% 17.69/12.51 (m_main_v_state1(s383, c_n1)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30654, 30643, 30573, 30639, 30635, 30631, 30627])).
% 17.69/12.51 tff(30656,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s383, c_n2) | (~node8(s383)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s383, c_n2) | (~node8(s383)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30657,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s383, c_n2) | (~node8(s383)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30658,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s383, c_n2) | (~node8(s383))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30657, 30656])).
% 17.69/12.51 tff(30659,plain,
% 17.69/12.51 (~node8(s383)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30658, 271, 30604])).
% 17.69/12.51 tff(30660,plain,
% 17.69/12.51 (succ(s383, s384) <=> succ(s383, s384)),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30661,axiom,(succ(s383, s384)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound384')).
% 17.69/12.51 tff(30662,plain,
% 17.69/12.51 (succ(s383, s384)),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30661, 30660])).
% 17.69/12.51 tff(30663,plain,
% 17.69/12.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s383, s384)) | trans(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s383, s384)) | trans(s383, s384))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30664,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s383, s384)) | trans(s383, s384))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30665,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s383, s384)) | trans(s383, s384)),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30664, 30663])).
% 17.69/12.51 tff(30666,plain,
% 17.69/12.51 (trans(s383, s384)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30665, 30662, 32])).
% 17.69/12.51 tff(30667,plain,
% 17.69/12.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s383, s384)) | node14(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s383, s384)) | node14(s383, s384))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30668,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s383, s384)) | node14(s383, s384))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30669,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s383, s384)) | node14(s383, s384)),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30668, 30667])).
% 17.69/12.51 tff(30670,plain,
% 17.69/12.51 (node14(s383, s384)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30669, 46, 30666])).
% 17.69/12.51 tff(30671,plain,
% 17.69/12.51 (((~![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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | node9(s383) | node8(s383) | node10(s383) | (~node14(s383, s384)) | m_main_v_state2(s384, 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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | node9(s383) | node8(s383) | node10(s383) | (~node14(s383, s384)) | m_main_v_state2(s384, c_c2))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30672,plain,
% 17.69/12.51 ((~![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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | node9(s383) | node8(s383) | node10(s383) | (~node14(s383, s384)) | m_main_v_state2(s384, c_c2))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30673,plain,
% 17.69/12.51 ((~![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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | node9(s383) | node8(s383) | node10(s383) | (~node14(s383, s384)) | m_main_v_state2(s384, c_c2)),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30672, 30671])).
% 17.69/12.51 tff(30674,plain,
% 17.69/12.51 ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | node9(s383) | node8(s383) | node10(s383) | m_main_v_state2(s384, c_c2)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30673, 617, 30670])).
% 17.69/12.51 tff(30675,plain,
% 17.69/12.51 (m_main_v_state2(s384, c_c2)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30674, 30659, 30655, 30619, 30612, 30608])).
% 17.69/12.51 tff(30676,plain,
% 17.69/12.51 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s384, c_t2)) | (~m_main_v_state2(s384, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s384, c_t2)) | (~m_main_v_state2(s384, c_c2)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30677,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s384, c_t2)) | (~m_main_v_state2(s384, c_c2)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30678,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s384, c_t2)) | (~m_main_v_state2(s384, c_c2))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30677, 30676])).
% 17.69/12.51 tff(30679,plain,
% 17.69/12.51 (~m_main_v_state2(s384, c_t2)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30678, 260, 30675])).
% 17.69/12.51 tff(30680,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s384, c_t2) | (~node12(s384)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s384, c_t2) | (~node12(s384)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30681,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s384, c_t2) | (~node12(s384)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30682,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s384, c_t2) | (~node12(s384))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30681, 30680])).
% 17.69/12.51 tff(30683,plain,
% 17.69/12.51 (~node12(s384)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30682, 633, 30679])).
% 17.69/12.51 tff(30684,plain,
% 17.69/12.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s383, s384)) | node7(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s383, s384)) | node7(s383, s384))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30685,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s383, s384)) | node7(s383, s384))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30686,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s383, s384)) | node7(s383, s384)),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30685, 30684])).
% 17.69/12.51 tff(30687,plain,
% 17.69/12.51 (node7(s383, s384)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30686, 206, 30666])).
% 17.69/12.51 tff(30688,plain,
% 17.69/12.51 (((~![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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node7(s383, s384)) | m_main_v_state1(s384, 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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node7(s383, s384)) | m_main_v_state1(s384, c_t1))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30689,plain,
% 17.69/12.51 ((~![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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node7(s383, s384)) | m_main_v_state1(s384, c_t1))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30690,plain,
% 17.69/12.51 ((~![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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node7(s383, s384)) | m_main_v_state1(s384, c_t1)),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30689, 30688])).
% 17.69/12.51 tff(30691,plain,
% 17.69/12.51 ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | m_main_v_state1(s384, c_t1)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30690, 651, 30687])).
% 17.69/12.51 tff(30692,plain,
% 17.69/12.51 (m_main_v_state1(s384, c_t1)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30691, 30619, 30655])).
% 17.69/12.51 tff(30693,plain,
% 17.69/12.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s384, c_n1)) | (~m_main_v_state1(s384, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s384, c_n1)) | (~m_main_v_state1(s384, c_t1)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30694,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s384, c_n1)) | (~m_main_v_state1(s384, c_t1)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30695,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s384, c_n1)) | (~m_main_v_state1(s384, c_t1))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30694, 30693])).
% 17.69/12.51 tff(30696,plain,
% 17.69/12.51 (~m_main_v_state1(s384, c_n1)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30695, 10, 30692])).
% 17.69/12.51 tff(30697,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s384, c_n1) | (~node11(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s384, c_n1) | (~node11(s384)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30698,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s384, c_n1) | (~node11(s384)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30699,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s384, c_n1) | (~node11(s384))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30698, 30697])).
% 17.69/12.51 tff(30700,plain,
% 17.69/12.51 (~node11(s384)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30699, 238, 30696])).
% 17.69/12.51 tff(30701,plain,
% 17.69/12.51 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s384, c_t1)) | (~m_main_v_state1(s384, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s384, c_t1)) | (~m_main_v_state1(s384, c_c1)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30702,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s384, c_t1)) | (~m_main_v_state1(s384, c_c1)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30703,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s384, c_t1)) | (~m_main_v_state1(s384, c_c1))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30702, 30701])).
% 17.69/12.51 tff(30704,plain,
% 17.69/12.51 (~m_main_v_state1(s384, c_c1)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30703, 539, 30692])).
% 17.69/12.51 tff(30705,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s384, c_c1) | (~node10(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s384, c_c1) | (~node10(s384)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30706,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s384, c_c1) | (~node10(s384)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30707,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s384, c_c1) | (~node10(s384))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30706, 30705])).
% 17.69/12.51 tff(30708,plain,
% 17.69/12.51 (~node10(s384)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30707, 675, 30704])).
% 17.69/12.51 tff(30709,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s384, c_n1) | (~node9(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s384, c_n1) | (~node9(s384)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30710,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s384, c_n1) | (~node9(s384)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30711,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s384, c_n1) | (~node9(s384))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30710, 30709])).
% 17.69/12.51 tff(30712,plain,
% 17.69/12.51 (~node9(s384)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30711, 686, 30696])).
% 17.69/12.51 tff(30713,plain,
% 17.69/12.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s384, c_n2)) | (~m_main_v_state2(s384, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s384, c_n2)) | (~m_main_v_state2(s384, c_c2)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30714,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s384, c_n2)) | (~m_main_v_state2(s384, c_c2)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30715,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s384, c_n2)) | (~m_main_v_state2(s384, c_c2))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30714, 30713])).
% 17.69/12.51 tff(30716,plain,
% 17.69/12.51 (~m_main_v_state2(s384, c_n2)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30715, 697, 30675])).
% 17.69/12.51 tff(30717,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s384, c_n2) | (~node8(s384)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s384, c_n2) | (~node8(s384)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30718,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s384, c_n2) | (~node8(s384)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30719,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s384, c_n2) | (~node8(s384))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30718, 30717])).
% 17.69/12.51 tff(30720,plain,
% 17.69/12.51 (~node8(s384)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30719, 271, 30716])).
% 17.69/12.51 tff(30721,plain,
% 17.69/12.51 (succ(s384, s385) <=> succ(s384, s385)),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30722,axiom,(succ(s384, s385)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound385')).
% 17.69/12.51 tff(30723,plain,
% 17.69/12.51 (succ(s384, s385)),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30722, 30721])).
% 17.69/12.51 tff(30724,plain,
% 17.69/12.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s384, s385)) | trans(s384, s385))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s384, s385)) | trans(s384, s385))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30725,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s384, s385)) | trans(s384, s385))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30726,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s384, s385)) | trans(s384, s385)),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30725, 30724])).
% 17.69/12.51 tff(30727,plain,
% 17.69/12.51 (trans(s384, s385)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30726, 30723, 32])).
% 17.69/12.51 tff(30728,plain,
% 17.69/12.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s384, s385)) | node14(s384, s385))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s384, s385)) | node14(s384, s385))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30729,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s384, s385)) | node14(s384, s385))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30730,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s384, s385)) | node14(s384, s385)),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30729, 30728])).
% 17.69/12.51 tff(30731,plain,
% 17.69/12.51 (node14(s384, s385)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30730, 46, 30727])).
% 17.69/12.51 tff(30732,plain,
% 17.69/12.51 (((~![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(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, 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(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30733,plain,
% 17.69/12.51 (((~m_main_v_state2(s384, c_c2)) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | m_main_v_state2(s385, c_n2)) <=> (m_main_v_state2(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30734,plain,
% 17.69/12.51 (((~![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(s384, c_c2)) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | m_main_v_state2(s385, 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(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2))))),
% 17.69/12.51 inference(monotonicity,[status(thm)],[30733])).
% 17.69/12.51 tff(30735,plain,
% 17.69/12.51 (((~![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(s384, c_c2)) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | m_main_v_state2(s385, 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(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2)))),
% 17.69/12.51 inference(transitivity,[status(thm)],[30734, 30732])).
% 17.69/12.51 tff(30736,plain,
% 17.69/12.51 ((~![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(s384, c_c2)) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | m_main_v_state2(s385, c_n2))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30737,plain,
% 17.69/12.51 ((~![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(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30736, 30735])).
% 17.69/12.51 tff(30738,plain,
% 17.69/12.51 (m_main_v_state2(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~m_main_v_state2(s384, c_c2))),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30737, 726, 30731])).
% 17.69/12.51 tff(30739,plain,
% 17.69/12.51 (m_main_v_state2(s385, c_n2)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30738, 30720, 30675, 30712, 30708, 30700, 30683])).
% 17.69/12.51 tff(30740,plain,
% 17.69/12.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_c2)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30741,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_c2)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30742,plain,
% 17.69/12.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_c2))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30741, 30740])).
% 17.69/12.51 tff(30743,plain,
% 17.69/12.51 (~m_main_v_state2(s385, c_c2)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30742, 697, 30739])).
% 17.69/12.51 tff(30744,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s385, c_c2) | (~node3(s385)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s385, c_c2) | (~node3(s385)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30745,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s385, c_c2) | (~node3(s385)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30746,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s385, c_c2) | (~node3(s385))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30745, 30744])).
% 17.69/12.51 tff(30747,plain,
% 17.69/12.51 (~node3(s385)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30746, 399, 30743])).
% 17.69/12.51 tff(30748,plain,
% 17.69/12.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s384, c_n1) | (~node1(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s384, c_n1) | (~node1(s384)))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30749,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s384, c_n1) | (~node1(s384)))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30750,plain,
% 17.69/12.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s384, c_n1) | (~node1(s384))),
% 17.69/12.51 inference(modus_ponens,[status(thm)],[30749, 30748])).
% 17.69/12.51 tff(30751,plain,
% 17.69/12.51 (~node1(s384)),
% 17.69/12.51 inference(unit_resolution,[status(thm)],[30750, 421, 30696])).
% 17.69/12.51 tff(30752,plain,
% 17.69/12.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s383, s384)) | node18(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s383, s384)) | node18(s383, s384))),
% 17.69/12.51 inference(rewrite,[status(thm)],[])).
% 17.69/12.51 tff(30753,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s383, s384)) | node18(s383, s384))),
% 17.69/12.51 inference(quant_inst,[status(thm)],[])).
% 17.69/12.51 tff(30754,plain,
% 17.69/12.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s383, s384)) | node18(s383, s384)),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 17.69/12.52 tff(30755,plain,
% 17.69/12.52 (node18(s383, s384)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30754, 125, 30666])).
% 17.69/12.52 tff(30756,plain,
% 17.69/12.52 (((~![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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node18(s383, s384)) | m_main_v_turn(s384, 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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node18(s383, s384)) | m_main_v_turn(s384, c_2))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30757,plain,
% 17.69/12.52 ((~![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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node18(s383, s384)) | m_main_v_turn(s384, c_2))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30758,plain,
% 17.69/12.52 ((~![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(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node18(s383, s384)) | m_main_v_turn(s384, c_2)),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30757, 30756])).
% 17.69/12.52 tff(30759,plain,
% 17.69/12.52 ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | m_main_v_turn(s384, c_2)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30758, 760, 30755])).
% 17.69/12.52 tff(30760,plain,
% 17.69/12.52 (m_main_v_turn(s384, c_2)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30759, 30619, 30655])).
% 17.69/12.52 tff(30761,plain,
% 17.69/12.52 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s384, c_1)) | (~m_main_v_turn(s384, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s384, c_1)) | (~m_main_v_turn(s384, c_2)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30762,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s384, c_1)) | (~m_main_v_turn(s384, c_2)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30763,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s384, c_1)) | (~m_main_v_turn(s384, c_2))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30762, 30761])).
% 17.69/12.52 tff(30764,plain,
% 17.69/12.52 (~m_main_v_turn(s384, c_1)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30763, 156, 30760])).
% 17.69/12.52 tff(30765,plain,
% 17.69/12.52 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s384, c_1) | (~node5(s384)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s384, c_1) | (~node5(s384)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30766,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s384, c_1) | (~node5(s384)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30767,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s384, c_1) | (~node5(s384))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30766, 30765])).
% 17.69/12.52 tff(30768,plain,
% 17.69/12.52 (~node5(s384)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30767, 776, 30764])).
% 17.69/12.52 tff(30769,plain,
% 17.69/12.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s384, c_n1) | (~node2(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s384, c_n1) | (~node2(s384)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30770,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s384, c_n1) | (~node2(s384)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30771,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s384, c_n1) | (~node2(s384))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30770, 30769])).
% 17.69/12.52 tff(30772,plain,
% 17.69/12.52 (~node2(s384)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30771, 787, 30696])).
% 17.69/12.52 tff(30773,plain,
% 17.69/12.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s384, c_n1) | (~node3(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s384, c_n1) | (~node3(s384)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30774,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s384, c_n1) | (~node3(s384)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30775,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s384, c_n1) | (~node3(s384))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30774, 30773])).
% 17.69/12.52 tff(30776,plain,
% 17.69/12.52 (~node3(s384)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30775, 798, 30696])).
% 17.69/12.52 tff(30777,plain,
% 17.69/12.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s384, c_n2) | (~node4(s384)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s384, c_n2) | (~node4(s384)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30778,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s384, c_n2) | (~node4(s384)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30779,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s384, c_n2) | (~node4(s384))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30778, 30777])).
% 17.69/12.52 tff(30780,plain,
% 17.69/12.52 (~node4(s384)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30779, 388, 30716])).
% 17.69/12.52 tff(30781,plain,
% 17.69/12.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s384, s385)) | node7(s384, s385))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s384, s385)) | node7(s384, s385))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30782,plain,
% 17.69/12.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s384, s385)) | node7(s384, s385))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30783,plain,
% 17.69/12.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s384, s385)) | node7(s384, s385)),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30782, 30781])).
% 17.69/12.52 tff(30784,plain,
% 17.69/12.52 (node7(s384, s385)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30783, 206, 30727])).
% 17.69/12.52 tff(30785,plain,
% 17.69/12.52 (((~![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(s384, c_c1) | node1(s384) | node2(s384) | node3(s384) | node4(s384) | node5(s384) | node6(s384, s385) | (~node7(s384, s385)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s384, c_c1) | node1(s384) | node2(s384) | node3(s384) | node4(s384) | node5(s384) | node6(s384, s385) | (~node7(s384, s385)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30786,plain,
% 17.69/12.52 ((~![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(s384, c_c1) | node1(s384) | node2(s384) | node3(s384) | node4(s384) | node5(s384) | node6(s384, s385) | (~node7(s384, s385)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30787,plain,
% 17.69/12.52 ((~![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(s384, c_c1) | node1(s384) | node2(s384) | node3(s384) | node4(s384) | node5(s384) | node6(s384, s385) | (~node7(s384, s385))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30786, 30785])).
% 17.69/12.52 tff(30788,plain,
% 17.69/12.52 (m_main_v_state1(s384, c_c1) | node1(s384) | node2(s384) | node3(s384) | node4(s384) | node5(s384) | node6(s384, s385)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30787, 820, 30784])).
% 17.69/12.52 tff(30789,plain,
% 17.69/12.52 (node6(s384, s385)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30788, 30780, 30704, 30776, 30772, 30768, 30751])).
% 17.69/12.52 tff(30790,plain,
% 17.69/12.52 (((~![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(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30791,plain,
% 17.69/12.52 (((~node6(s384, s385)) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1))) <=> (m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30792,plain,
% 17.69/12.52 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s384, s385)) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, 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(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385))))),
% 17.69/12.52 inference(monotonicity,[status(thm)],[30791])).
% 17.69/12.52 tff(30793,plain,
% 17.69/12.52 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s384, s385)) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, 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(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385)))),
% 17.69/12.52 inference(transitivity,[status(thm)],[30792, 30790])).
% 17.69/12.52 tff(30794,plain,
% 17.69/12.52 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s384, s385)) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30795,plain,
% 17.69/12.52 ((~![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(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30794, 30793])).
% 17.69/12.52 tff(30796,plain,
% 17.69/12.52 (~m_main_v_state1(s385, c_n1)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30795, 835, 30696, 30789])).
% 17.69/12.52 tff(30797,plain,
% 17.69/12.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s385, c_n1) | (~node2(s385)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s385, c_n1) | (~node2(s385)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30798,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s385, c_n1) | (~node2(s385)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30799,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s385, c_n1) | (~node2(s385))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30798, 30797])).
% 17.69/12.52 tff(30800,plain,
% 17.69/12.52 (~node2(s385)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30799, 787, 30796])).
% 17.69/12.52 tff(30801,plain,
% 17.69/12.52 (((~![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(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30802,plain,
% 17.69/12.52 (((~node6(s384, s385)) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1)) <=> ((~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30803,plain,
% 17.69/12.52 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s384, s385)) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, 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(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385))))),
% 17.69/12.52 inference(monotonicity,[status(thm)],[30802])).
% 17.69/12.52 tff(30804,plain,
% 17.69/12.52 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s384, s385)) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, 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(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385)))),
% 17.69/12.52 inference(transitivity,[status(thm)],[30803, 30801])).
% 17.69/12.52 tff(30805,plain,
% 17.69/12.52 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s384, s385)) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30806,plain,
% 17.69/12.52 ((~![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(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30805, 30804])).
% 17.69/12.52 tff(30807,plain,
% 17.69/12.52 (m_main_v_state1(s385, c_t1)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30806, 856, 30692, 30789])).
% 17.69/12.52 tff(30808,plain,
% 17.69/12.52 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_t2)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30809,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_t2)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30810,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_t2))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30809, 30808])).
% 17.69/12.52 tff(30811,plain,
% 17.69/12.52 (~m_main_v_state2(s385, c_t2)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30810, 77, 30739])).
% 17.69/12.52 tff(30812,plain,
% 17.69/12.52 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s385, c_t2) | (~node1(s385)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s385, c_t2) | (~node1(s385)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30813,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s385, c_t2) | (~node1(s385)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30814,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s385, c_t2) | (~node1(s385))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30813, 30812])).
% 17.69/12.52 tff(30815,plain,
% 17.69/12.52 (~node1(s385)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30814, 195, 30811])).
% 17.69/12.52 tff(30816,plain,
% 17.69/12.52 (succ(s385, s386) <=> succ(s385, s386)),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30817,axiom,(succ(s385, s386)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound386')).
% 17.69/12.52 tff(30818,plain,
% 17.69/12.52 (succ(s385, s386)),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30817, 30816])).
% 17.69/12.52 tff(30819,plain,
% 17.69/12.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s385, s386)) | trans(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s385, s386)) | trans(s385, s386))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30820,plain,
% 17.69/12.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s385, s386)) | trans(s385, s386))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30821,plain,
% 17.69/12.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s385, s386)) | trans(s385, s386)),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30820, 30819])).
% 17.69/12.52 tff(30822,plain,
% 17.69/12.52 (trans(s385, s386)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30821, 30818, 32])).
% 17.69/12.52 tff(30823,plain,
% 17.69/12.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s385, s386)) | node7(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s385, s386)) | node7(s385, s386))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30824,plain,
% 17.69/12.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s385, s386)) | node7(s385, s386))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30825,plain,
% 17.69/12.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s385, s386)) | node7(s385, s386)),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30824, 30823])).
% 17.69/12.52 tff(30826,plain,
% 17.69/12.52 (node7(s385, s386)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30825, 206, 30822])).
% 17.69/12.52 tff(30827,plain,
% 17.69/12.52 (((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30828,plain,
% 17.69/12.52 (((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)) | m_main_v_state1(s386, c_c1)) <=> ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30829,plain,
% 17.69/12.52 (((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)) | m_main_v_state1(s386, 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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386))))),
% 17.69/12.52 inference(monotonicity,[status(thm)],[30828])).
% 17.69/12.52 tff(30830,plain,
% 17.69/12.52 (((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)) | m_main_v_state1(s386, 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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)))),
% 17.69/12.52 inference(transitivity,[status(thm)],[30829, 30827])).
% 17.69/12.52 tff(30831,plain,
% 17.69/12.52 ((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)) | m_main_v_state1(s386, c_c1))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30832,plain,
% 17.69/12.52 ((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30831, 30830])).
% 17.69/12.52 tff(30833,plain,
% 17.69/12.52 ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30832, 892, 30826])).
% 17.69/12.52 tff(30834,plain,
% 17.69/12.52 (m_main_v_state1(s386, c_c1)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30833, 30815, 30739, 30807, 30800, 30747])).
% 17.69/12.52 tff(30835,plain,
% 17.69/12.52 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s386, c_t1)) | (~m_main_v_state1(s386, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s386, c_t1)) | (~m_main_v_state1(s386, c_c1)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30836,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s386, c_t1)) | (~m_main_v_state1(s386, c_c1)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30837,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s386, c_t1)) | (~m_main_v_state1(s386, c_c1))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30836, 30835])).
% 17.69/12.52 tff(30838,plain,
% 17.69/12.52 (~m_main_v_state1(s386, c_t1)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30837, 539, 30834])).
% 17.69/12.52 tff(30839,plain,
% 17.69/12.52 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s386, c_t1) | (~node5(s386)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s386, c_t1) | (~node5(s386)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30840,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s386, c_t1) | (~node5(s386)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30841,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s386, c_t1) | (~node5(s386))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30840, 30839])).
% 17.69/12.52 tff(30842,plain,
% 17.69/12.52 (~node5(s386)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30841, 550, 30838])).
% 17.69/12.52 tff(30843,plain,
% 17.69/12.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s385, s386)) | node14(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s385, s386)) | node14(s385, s386))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30844,plain,
% 17.69/12.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s385, s386)) | node14(s385, s386))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30845,plain,
% 17.69/12.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s385, s386)) | node14(s385, s386)),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30844, 30843])).
% 17.69/12.52 tff(30846,plain,
% 17.69/12.52 (node14(s385, s386)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30845, 46, 30822])).
% 17.69/12.52 tff(30847,plain,
% 17.69/12.52 (((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | (~node14(s385, s386)) | m_main_v_state2(s386, 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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | (~node14(s385, s386)) | m_main_v_state2(s386, c_t2))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30848,plain,
% 17.69/12.52 ((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | (~node14(s385, s386)) | m_main_v_state2(s386, c_t2))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30849,plain,
% 17.69/12.52 ((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | (~node14(s385, s386)) | m_main_v_state2(s386, c_t2)),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30848, 30847])).
% 17.69/12.52 tff(30850,plain,
% 17.69/12.52 ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state2(s386, c_t2)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30849, 922, 30846])).
% 17.69/12.52 tff(30851,plain,
% 17.69/12.52 (m_main_v_state2(s386, c_t2)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30850, 30807, 30739])).
% 17.69/12.52 tff(30852,plain,
% 17.69/12.52 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s386, c_n2)) | (~m_main_v_state2(s386, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s386, c_n2)) | (~m_main_v_state2(s386, c_t2)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30853,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s386, c_n2)) | (~m_main_v_state2(s386, c_t2)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30854,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s386, c_n2)) | (~m_main_v_state2(s386, c_t2))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30853, 30852])).
% 17.69/12.52 tff(30855,plain,
% 17.69/12.52 (~m_main_v_state2(s386, c_n2)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30854, 77, 30851])).
% 17.69/12.52 tff(30856,plain,
% 17.69/12.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s386, c_n2) | (~node4(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s386, c_n2) | (~node4(s386)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30857,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s386, c_n2) | (~node4(s386)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30858,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s386, c_n2) | (~node4(s386))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30857, 30856])).
% 17.69/12.52 tff(30859,plain,
% 17.69/12.52 (~node4(s386)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30858, 388, 30855])).
% 17.69/12.52 tff(30860,plain,
% 17.69/12.52 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s386, c_t2)) | (~m_main_v_state2(s386, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s386, c_t2)) | (~m_main_v_state2(s386, c_c2)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30861,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s386, c_t2)) | (~m_main_v_state2(s386, c_c2)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30862,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s386, c_t2)) | (~m_main_v_state2(s386, c_c2))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30861, 30860])).
% 17.69/12.52 tff(30863,plain,
% 17.69/12.52 (~m_main_v_state2(s386, c_c2)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30862, 260, 30851])).
% 17.69/12.52 tff(30864,plain,
% 17.69/12.52 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s386, c_c2) | (~node3(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s386, c_c2) | (~node3(s386)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30865,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s386, c_c2) | (~node3(s386)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30866,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s386, c_c2) | (~node3(s386))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30865, 30864])).
% 17.69/12.52 tff(30867,plain,
% 17.69/12.52 (~node3(s386)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30866, 399, 30863])).
% 17.69/12.52 tff(30868,plain,
% 17.69/12.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s386, c_n2) | (~node2(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s386, c_n2) | (~node2(s386)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30869,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s386, c_n2) | (~node2(s386)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.52 tff(30870,plain,
% 17.69/12.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s386, c_n2) | (~node2(s386))),
% 17.69/12.52 inference(modus_ponens,[status(thm)],[30869, 30868])).
% 17.69/12.52 tff(30871,plain,
% 17.69/12.52 (~node2(s386)),
% 17.69/12.52 inference(unit_resolution,[status(thm)],[30870, 410, 30855])).
% 17.69/12.52 tff(30872,plain,
% 17.69/12.52 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s386, c_n1)) | (~m_main_v_state1(s386, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s386, c_n1)) | (~m_main_v_state1(s386, c_c1)))),
% 17.69/12.52 inference(rewrite,[status(thm)],[])).
% 17.69/12.52 tff(30873,plain,
% 17.69/12.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s386, c_n1)) | (~m_main_v_state1(s386, c_c1)))),
% 17.69/12.52 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30874,plain,
% 17.69/12.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s386, c_n1)) | (~m_main_v_state1(s386, c_c1))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30873, 30872])).
% 17.69/12.53 tff(30875,plain,
% 17.69/12.53 (~m_main_v_state1(s386, c_n1)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30874, 454, 30834])).
% 17.69/12.53 tff(30876,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s386, c_n1) | (~node1(s386)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s386, c_n1) | (~node1(s386)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30877,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s386, c_n1) | (~node1(s386)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30878,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s386, c_n1) | (~node1(s386))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30877, 30876])).
% 17.69/12.53 tff(30879,plain,
% 17.69/12.53 (~node1(s386)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30878, 421, 30875])).
% 17.69/12.53 tff(30880,plain,
% 17.69/12.53 (succ(s386, s387) <=> succ(s386, s387)),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30881,axiom,(succ(s386, s387)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound387')).
% 17.69/12.53 tff(30882,plain,
% 17.69/12.53 (succ(s386, s387)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30881, 30880])).
% 17.69/12.53 tff(30883,plain,
% 17.69/12.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s386, s387)) | trans(s386, s387))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s386, s387)) | trans(s386, s387))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30884,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s386, s387)) | trans(s386, s387))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30885,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s386, s387)) | trans(s386, s387)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30884, 30883])).
% 17.69/12.53 tff(30886,plain,
% 17.69/12.53 (trans(s386, s387)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30885, 30882, 32])).
% 17.69/12.53 tff(30887,plain,
% 17.69/12.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s386, s387)) | node7(s386, s387))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s386, s387)) | node7(s386, s387))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30888,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s386, s387)) | node7(s386, s387))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30889,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s386, s387)) | node7(s386, s387)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30888, 30887])).
% 17.69/12.53 tff(30890,plain,
% 17.69/12.53 (node7(s386, s387)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30889, 206, 30886])).
% 17.69/12.53 tff(30891,plain,
% 17.69/12.53 (((~![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(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30892,plain,
% 17.69/12.53 (((~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)) | m_main_v_state1(s387, c_n1)) <=> (m_main_v_state1(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30893,plain,
% 17.69/12.53 (((~![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(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)) | m_main_v_state1(s387, 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(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387))))),
% 17.69/12.53 inference(monotonicity,[status(thm)],[30892])).
% 17.69/12.53 tff(30894,plain,
% 17.69/12.53 (((~![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(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)) | m_main_v_state1(s387, 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(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)))),
% 17.69/12.53 inference(transitivity,[status(thm)],[30893, 30891])).
% 17.69/12.53 tff(30895,plain,
% 17.69/12.53 ((~![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(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)) | m_main_v_state1(s387, c_n1))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30896,plain,
% 17.69/12.53 ((~![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(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30895, 30894])).
% 17.69/12.53 tff(30897,plain,
% 17.69/12.53 (m_main_v_state1(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30896, 584, 30890])).
% 17.69/12.53 tff(30898,plain,
% 17.69/12.53 (m_main_v_state1(s387, c_n1)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30897, 30879, 30834, 30871, 30867, 30859, 30842])).
% 17.69/12.53 tff(30899,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s385, c_t2) | (~node15(s385)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s385, c_t2) | (~node15(s385)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30900,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s385, c_t2) | (~node15(s385)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30901,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s385, c_t2) | (~node15(s385))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30900, 30899])).
% 17.69/12.53 tff(30902,plain,
% 17.69/12.53 (~node15(s385)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30901, 103, 30811])).
% 17.69/12.53 tff(30903,plain,
% 17.69/12.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s385, s386)) | node18(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s385, s386)) | node18(s385, s386))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30904,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s385, s386)) | node18(s385, s386))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30905,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s385, s386)) | node18(s385, s386)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30904, 30903])).
% 17.69/12.53 tff(30906,plain,
% 17.69/12.53 (node18(s385, s386)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30905, 125, 30822])).
% 17.69/12.53 tff(30907,plain,
% 17.69/12.53 (((~![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(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30908,plain,
% 17.69/12.53 (((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node15(s385) | (~node18(s385, s386)) | m_main_v_turn(s386, c_1)) <=> (node15(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30909,plain,
% 17.69/12.53 (((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node15(s385) | (~node18(s385, s386)) | m_main_v_turn(s386, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1)))),
% 17.69/12.53 inference(monotonicity,[status(thm)],[30908])).
% 17.69/12.53 tff(30910,plain,
% 17.69/12.53 (((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node15(s385) | (~node18(s385, s386)) | m_main_v_turn(s386, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1))),
% 17.69/12.53 inference(transitivity,[status(thm)],[30909, 30907])).
% 17.69/12.53 tff(30911,plain,
% 17.69/12.53 ((~![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(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node15(s385) | (~node18(s385, s386)) | m_main_v_turn(s386, c_1))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30912,plain,
% 17.69/12.53 ((~![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(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30911, 30910])).
% 17.69/12.53 tff(30913,plain,
% 17.69/12.53 (node15(s385) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30912, 992, 30906])).
% 17.69/12.53 tff(30914,plain,
% 17.69/12.53 (m_main_v_turn(s386, c_1)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30913, 30902, 30739, 30807])).
% 17.69/12.53 tff(30915,plain,
% 17.69/12.53 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s386, c_1)) | (~m_main_v_turn(s386, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s386, c_1)) | (~m_main_v_turn(s386, c_2)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30916,plain,
% 17.69/12.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s386, c_1)) | (~m_main_v_turn(s386, c_2)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30917,plain,
% 17.69/12.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s386, c_1)) | (~m_main_v_turn(s386, c_2))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30916, 30915])).
% 17.69/12.53 tff(30918,plain,
% 17.69/12.53 (~m_main_v_turn(s386, c_2)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30917, 156, 30914])).
% 17.69/12.53 tff(30919,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s386, c_2) | (~node12(s386)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s386, c_2) | (~node12(s386)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30920,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s386, c_2) | (~node12(s386)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30921,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s386, c_2) | (~node12(s386))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30920, 30919])).
% 17.69/12.53 tff(30922,plain,
% 17.69/12.53 (~node12(s386)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30921, 184, 30918])).
% 17.69/12.53 tff(30923,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s386, c_n2) | (~node8(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s386, c_n2) | (~node8(s386)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30924,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s386, c_n2) | (~node8(s386)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30925,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s386, c_n2) | (~node8(s386))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30924, 30923])).
% 17.69/12.53 tff(30926,plain,
% 17.69/12.53 (~node8(s386)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30925, 271, 30855])).
% 17.69/12.53 tff(30927,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s386, c_n2) | (~node9(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s386, c_n2) | (~node9(s386)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30928,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s386, c_n2) | (~node9(s386)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30929,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s386, c_n2) | (~node9(s386))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30928, 30927])).
% 17.69/12.53 tff(30930,plain,
% 17.69/12.53 (~node9(s386)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30929, 88, 30855])).
% 17.69/12.53 tff(30931,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s386, c_n2) | (~node10(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s386, c_n2) | (~node10(s386)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30932,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s386, c_n2) | (~node10(s386)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30933,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s386, c_n2) | (~node10(s386))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30932, 30931])).
% 17.69/12.53 tff(30934,plain,
% 17.69/12.53 (~node10(s386)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30933, 249, 30855])).
% 17.69/12.53 tff(30935,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s386, c_n1) | (~node11(s386)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s386, c_n1) | (~node11(s386)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30936,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s386, c_n1) | (~node11(s386)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30937,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s386, c_n1) | (~node11(s386))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30936, 30935])).
% 17.69/12.53 tff(30938,plain,
% 17.69/12.53 (~node11(s386)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30937, 238, 30875])).
% 17.69/12.53 tff(30939,plain,
% 17.69/12.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s386, s387)) | node14(s386, s387))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s386, s387)) | node14(s386, s387))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30940,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s386, s387)) | node14(s386, s387))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30941,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s386, s387)) | node14(s386, s387)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30940, 30939])).
% 17.69/12.53 tff(30942,plain,
% 17.69/12.53 (node14(s386, s387)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30941, 46, 30886])).
% 17.69/12.53 tff(30943,plain,
% 17.69/12.53 (((~![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(s386, c_c2) | node9(s386) | node8(s386) | node10(s386) | node11(s386) | node12(s386) | node13(s386, s387) | (~node14(s386, s387)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s386, c_c2) | node9(s386) | node8(s386) | node10(s386) | node11(s386) | node12(s386) | node13(s386, s387) | (~node14(s386, s387)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30944,plain,
% 17.69/12.53 ((~![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(s386, c_c2) | node9(s386) | node8(s386) | node10(s386) | node11(s386) | node12(s386) | node13(s386, s387) | (~node14(s386, s387)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30945,plain,
% 17.69/12.53 ((~![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(s386, c_c2) | node9(s386) | node8(s386) | node10(s386) | node11(s386) | node12(s386) | node13(s386, s387) | (~node14(s386, s387))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30944, 30943])).
% 17.69/12.53 tff(30946,plain,
% 17.69/12.53 (m_main_v_state2(s386, c_c2) | node9(s386) | node8(s386) | node10(s386) | node11(s386) | node12(s386) | node13(s386, s387)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30945, 296, 30942])).
% 17.69/12.53 tff(30947,plain,
% 17.69/12.53 (node13(s386, s387)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30946, 30938, 30863, 30934, 30930, 30926, 30922])).
% 17.69/12.53 tff(30948,plain,
% 17.69/12.53 (((~![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(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30949,plain,
% 17.69/12.53 (((~node13(s386, s387)) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2)) <=> ((~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30950,plain,
% 17.69/12.53 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s386, s387)) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, 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(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387))))),
% 17.69/12.53 inference(monotonicity,[status(thm)],[30949])).
% 17.69/12.53 tff(30951,plain,
% 17.69/12.53 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s386, s387)) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, 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(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387)))),
% 17.69/12.53 inference(transitivity,[status(thm)],[30950, 30948])).
% 17.69/12.53 tff(30952,plain,
% 17.69/12.53 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s386, s387)) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30953,plain,
% 17.69/12.53 ((~![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(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30952, 30951])).
% 17.69/12.53 tff(30954,plain,
% 17.69/12.53 (m_main_v_state2(s387, c_t2)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30953, 518, 30851, 30947])).
% 17.69/12.53 tff(30955,plain,
% 17.69/12.53 (succ(s387, s388) <=> succ(s387, s388)),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30956,axiom,(succ(s387, s388)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound388')).
% 17.69/12.53 tff(30957,plain,
% 17.69/12.53 (succ(s387, s388)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30956, 30955])).
% 17.69/12.53 tff(30958,plain,
% 17.69/12.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s387, s388)) | trans(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s387, s388)) | trans(s387, s388))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30959,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s387, s388)) | trans(s387, s388))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30960,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s387, s388)) | trans(s387, s388)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30959, 30958])).
% 17.69/12.53 tff(30961,plain,
% 17.69/12.53 (trans(s387, s388)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30960, 30957, 32])).
% 17.69/12.53 tff(30962,plain,
% 17.69/12.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s387, s388)) | node7(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s387, s388)) | node7(s387, s388))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30963,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s387, s388)) | node7(s387, s388))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30964,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s387, s388)) | node7(s387, s388)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30963, 30962])).
% 17.69/12.53 tff(30965,plain,
% 17.69/12.53 (node7(s387, s388)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30964, 206, 30961])).
% 17.69/12.53 tff(30966,plain,
% 17.69/12.53 (((~![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(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node7(s387, s388)) | m_main_v_state1(s388, 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(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node7(s387, s388)) | m_main_v_state1(s388, c_t1))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30967,plain,
% 17.69/12.53 ((~![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(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node7(s387, s388)) | m_main_v_state1(s388, c_t1))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30968,plain,
% 17.69/12.53 ((~![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(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node7(s387, s388)) | m_main_v_state1(s388, c_t1)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30967, 30966])).
% 17.69/12.53 tff(30969,plain,
% 17.69/12.53 ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | m_main_v_state1(s388, c_t1)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30968, 651, 30965])).
% 17.69/12.53 tff(30970,plain,
% 17.69/12.53 (m_main_v_state1(s388, c_t1)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30969, 30954, 30898])).
% 17.69/12.53 tff(30971,plain,
% 17.69/12.53 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s388, c_n1)) | (~m_main_v_state1(s388, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s388, c_n1)) | (~m_main_v_state1(s388, c_t1)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30972,plain,
% 17.69/12.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s388, c_n1)) | (~m_main_v_state1(s388, c_t1)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30973,plain,
% 17.69/12.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s388, c_n1)) | (~m_main_v_state1(s388, c_t1))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30972, 30971])).
% 17.69/12.53 tff(30974,plain,
% 17.69/12.53 (~m_main_v_state1(s388, c_n1)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30973, 10, 30970])).
% 17.69/12.53 tff(30975,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s388, c_n1) | (~node1(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s388, c_n1) | (~node1(s388)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30976,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s388, c_n1) | (~node1(s388)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30977,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s388, c_n1) | (~node1(s388))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30976, 30975])).
% 17.69/12.53 tff(30978,plain,
% 17.69/12.53 (~node1(s388)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30977, 421, 30974])).
% 17.69/12.53 tff(30979,plain,
% 17.69/12.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s387, s388)) | node18(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s387, s388)) | node18(s387, s388))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30980,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s387, s388)) | node18(s387, s388))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30981,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s387, s388)) | node18(s387, s388)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30980, 30979])).
% 17.69/12.53 tff(30982,plain,
% 17.69/12.53 (node18(s387, s388)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30981, 125, 30961])).
% 17.69/12.53 tff(30983,plain,
% 17.69/12.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node18(s387, s388)) | m_main_v_turn(s388, 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(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node18(s387, s388)) | m_main_v_turn(s388, c_2))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30984,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node18(s387, s388)) | m_main_v_turn(s388, c_2))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30985,plain,
% 17.69/12.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node18(s387, s388)) | m_main_v_turn(s388, c_2)),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30984, 30983])).
% 17.69/12.53 tff(30986,plain,
% 17.69/12.53 ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | m_main_v_turn(s388, c_2)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30985, 760, 30982])).
% 17.69/12.53 tff(30987,plain,
% 17.69/12.53 (m_main_v_turn(s388, c_2)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30986, 30954, 30898])).
% 17.69/12.53 tff(30988,plain,
% 17.69/12.53 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s388, c_1)) | (~m_main_v_turn(s388, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s388, c_1)) | (~m_main_v_turn(s388, c_2)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30989,plain,
% 17.69/12.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s388, c_1)) | (~m_main_v_turn(s388, c_2)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30990,plain,
% 17.69/12.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s388, c_1)) | (~m_main_v_turn(s388, c_2))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30989, 30988])).
% 17.69/12.53 tff(30991,plain,
% 17.69/12.53 (~m_main_v_turn(s388, c_1)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30990, 156, 30987])).
% 17.69/12.53 tff(30992,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s388, c_1) | (~node5(s388)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s388, c_1) | (~node5(s388)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30993,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s388, c_1) | (~node5(s388)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30994,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s388, c_1) | (~node5(s388))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30993, 30992])).
% 17.69/12.53 tff(30995,plain,
% 17.69/12.53 (~node5(s388)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30994, 776, 30991])).
% 17.69/12.53 tff(30996,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s388, c_n1) | (~node2(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s388, c_n1) | (~node2(s388)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(30997,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s388, c_n1) | (~node2(s388)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(30998,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s388, c_n1) | (~node2(s388))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[30997, 30996])).
% 17.69/12.53 tff(30999,plain,
% 17.69/12.53 (~node2(s388)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[30998, 787, 30974])).
% 17.69/12.53 tff(31000,plain,
% 17.69/12.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s388, c_n1) | (~node3(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s388, c_n1) | (~node3(s388)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(31001,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s388, c_n1) | (~node3(s388)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(31002,plain,
% 17.69/12.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s388, c_n1) | (~node3(s388))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[31001, 31000])).
% 17.69/12.53 tff(31003,plain,
% 17.69/12.53 (~node3(s388)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[31002, 798, 30974])).
% 17.69/12.53 tff(31004,plain,
% 17.69/12.53 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s388, c_t1)) | (~m_main_v_state1(s388, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s388, c_t1)) | (~m_main_v_state1(s388, c_c1)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(31005,plain,
% 17.69/12.53 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s388, c_t1)) | (~m_main_v_state1(s388, c_c1)))),
% 17.69/12.53 inference(quant_inst,[status(thm)],[])).
% 17.69/12.53 tff(31006,plain,
% 17.69/12.53 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s388, c_t1)) | (~m_main_v_state1(s388, c_c1))),
% 17.69/12.53 inference(modus_ponens,[status(thm)],[31005, 31004])).
% 17.69/12.53 tff(31007,plain,
% 17.69/12.53 (~m_main_v_state1(s388, c_c1)),
% 17.69/12.53 inference(unit_resolution,[status(thm)],[31006, 539, 30970])).
% 17.69/12.53 tff(31008,plain,
% 17.69/12.53 (((~![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(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(31009,plain,
% 17.69/12.53 (((~node13(s386, s387)) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2))) <=> (m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387)))),
% 17.69/12.53 inference(rewrite,[status(thm)],[])).
% 17.69/12.53 tff(31010,plain,
% 17.69/12.53 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s386, s387)) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, 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(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387))))),
% 17.69/12.53 inference(monotonicity,[status(thm)],[31009])).
% 17.69/12.53 tff(31011,plain,
% 17.69/12.53 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s386, s387)) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, 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(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387)))),
% 17.69/12.54 inference(transitivity,[status(thm)],[31010, 31008])).
% 17.69/12.54 tff(31012,plain,
% 17.69/12.54 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s386, s387)) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31013,plain,
% 17.69/12.54 ((~![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(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31012, 31011])).
% 17.69/12.54 tff(31014,plain,
% 17.69/12.54 (~m_main_v_state2(s387, c_n2)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31013, 311, 30855, 30947])).
% 17.69/12.54 tff(31015,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s387, c_n2) | (~node9(s387)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s387, c_n2) | (~node9(s387)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31016,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s387, c_n2) | (~node9(s387)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31017,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s387, c_n2) | (~node9(s387))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31016, 31015])).
% 17.69/12.54 tff(31018,plain,
% 17.69/12.54 (~node9(s387)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31017, 88, 31014])).
% 17.69/12.54 tff(31019,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s387, c_n2) | (~node10(s387)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s387, c_n2) | (~node10(s387)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31020,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s387, c_n2) | (~node10(s387)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31021,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s387, c_n2) | (~node10(s387))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31020, 31019])).
% 17.69/12.54 tff(31022,plain,
% 17.69/12.54 (~node10(s387)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31021, 249, 31014])).
% 17.69/12.54 tff(31023,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s387, c_n2) | (~node8(s387)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s387, c_n2) | (~node8(s387)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31024,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s387, c_n2) | (~node8(s387)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31025,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s387, c_n2) | (~node8(s387))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31024, 31023])).
% 17.69/12.54 tff(31026,plain,
% 17.69/12.54 (~node8(s387)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31025, 271, 31014])).
% 17.69/12.54 tff(31027,plain,
% 17.69/12.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s387, s388)) | node14(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s387, s388)) | node14(s387, s388))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31028,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s387, s388)) | node14(s387, s388))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31029,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s387, s388)) | node14(s387, s388)),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31028, 31027])).
% 17.69/12.54 tff(31030,plain,
% 17.69/12.54 (node14(s387, s388)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31029, 46, 30961])).
% 17.69/12.54 tff(31031,plain,
% 17.69/12.54 (((~![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(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | node9(s387) | node8(s387) | node10(s387) | (~node14(s387, s388)) | m_main_v_state2(s388, 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(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | node9(s387) | node8(s387) | node10(s387) | (~node14(s387, s388)) | m_main_v_state2(s388, c_c2))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31032,plain,
% 17.69/12.54 ((~![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(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | node9(s387) | node8(s387) | node10(s387) | (~node14(s387, s388)) | m_main_v_state2(s388, c_c2))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31033,plain,
% 17.69/12.54 ((~![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(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | node9(s387) | node8(s387) | node10(s387) | (~node14(s387, s388)) | m_main_v_state2(s388, c_c2)),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31032, 31031])).
% 17.69/12.54 tff(31034,plain,
% 17.69/12.54 ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | node9(s387) | node8(s387) | node10(s387) | m_main_v_state2(s388, c_c2)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31033, 617, 31030])).
% 17.69/12.54 tff(31035,plain,
% 17.69/12.54 (m_main_v_state2(s388, c_c2)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31034, 31026, 30898, 30954, 31022, 31018])).
% 17.69/12.54 tff(31036,plain,
% 17.69/12.54 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s388, c_n2)) | (~m_main_v_state2(s388, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s388, c_n2)) | (~m_main_v_state2(s388, c_c2)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31037,plain,
% 17.69/12.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s388, c_n2)) | (~m_main_v_state2(s388, c_c2)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31038,plain,
% 17.69/12.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s388, c_n2)) | (~m_main_v_state2(s388, c_c2))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31037, 31036])).
% 17.69/12.54 tff(31039,plain,
% 17.69/12.54 (~m_main_v_state2(s388, c_n2)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31038, 697, 31035])).
% 17.69/12.54 tff(31040,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s388, c_n2) | (~node4(s388)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s388, c_n2) | (~node4(s388)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31041,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s388, c_n2) | (~node4(s388)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31042,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s388, c_n2) | (~node4(s388))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31041, 31040])).
% 17.69/12.54 tff(31043,plain,
% 17.69/12.54 (~node4(s388)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31042, 388, 31039])).
% 17.69/12.54 tff(31044,plain,
% 17.69/12.54 (succ(s388, s389) <=> succ(s388, s389)),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31045,axiom,(succ(s388, s389)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound389')).
% 17.69/12.54 tff(31046,plain,
% 17.69/12.54 (succ(s388, s389)),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31045, 31044])).
% 17.69/12.54 tff(31047,plain,
% 17.69/12.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s388, s389)) | trans(s388, s389))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s388, s389)) | trans(s388, s389))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31048,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s388, s389)) | trans(s388, s389))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31049,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s388, s389)) | trans(s388, s389)),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31048, 31047])).
% 17.69/12.54 tff(31050,plain,
% 17.69/12.54 (trans(s388, s389)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31049, 31046, 32])).
% 17.69/12.54 tff(31051,plain,
% 17.69/12.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s388, s389)) | node7(s388, s389))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s388, s389)) | node7(s388, s389))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31052,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s388, s389)) | node7(s388, s389))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31053,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s388, s389)) | node7(s388, s389)),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31052, 31051])).
% 17.69/12.54 tff(31054,plain,
% 17.69/12.54 (node7(s388, s389)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31053, 206, 31050])).
% 17.69/12.54 tff(31055,plain,
% 17.69/12.54 (((~![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(s388, c_c1) | node1(s388) | node2(s388) | node3(s388) | node4(s388) | node5(s388) | node6(s388, s389) | (~node7(s388, s389)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s388, c_c1) | node1(s388) | node2(s388) | node3(s388) | node4(s388) | node5(s388) | node6(s388, s389) | (~node7(s388, s389)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31056,plain,
% 17.69/12.54 ((~![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(s388, c_c1) | node1(s388) | node2(s388) | node3(s388) | node4(s388) | node5(s388) | node6(s388, s389) | (~node7(s388, s389)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31057,plain,
% 17.69/12.54 ((~![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(s388, c_c1) | node1(s388) | node2(s388) | node3(s388) | node4(s388) | node5(s388) | node6(s388, s389) | (~node7(s388, s389))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31056, 31055])).
% 17.69/12.54 tff(31058,plain,
% 17.69/12.54 (m_main_v_state1(s388, c_c1) | node1(s388) | node2(s388) | node3(s388) | node4(s388) | node5(s388) | node6(s388, s389)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31057, 820, 31054])).
% 17.69/12.54 tff(31059,plain,
% 17.69/12.54 (node6(s388, s389)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31058, 31043, 31007, 31003, 30999, 30995, 30978])).
% 17.69/12.54 tff(31060,plain,
% 17.69/12.54 (((~![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(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31061,plain,
% 17.69/12.54 (((~node6(s388, s389)) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1)) <=> ((~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31062,plain,
% 17.69/12.54 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s388, s389)) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, 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(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389))))),
% 17.69/12.54 inference(monotonicity,[status(thm)],[31061])).
% 17.69/12.54 tff(31063,plain,
% 17.69/12.54 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s388, s389)) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, 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(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389)))),
% 17.69/12.54 inference(transitivity,[status(thm)],[31062, 31060])).
% 17.69/12.54 tff(31064,plain,
% 17.69/12.54 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s388, s389)) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31065,plain,
% 17.69/12.54 ((~![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(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31064, 31063])).
% 17.69/12.54 tff(31066,plain,
% 17.69/12.54 (m_main_v_state1(s389, c_t1)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31065, 856, 30970, 31059])).
% 17.69/12.54 tff(31067,plain,
% 17.69/12.54 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s388, c_t2)) | (~m_main_v_state2(s388, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s388, c_t2)) | (~m_main_v_state2(s388, c_c2)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31068,plain,
% 17.69/12.54 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s388, c_t2)) | (~m_main_v_state2(s388, c_c2)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31069,plain,
% 17.69/12.54 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s388, c_t2)) | (~m_main_v_state2(s388, c_c2))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31068, 31067])).
% 17.69/12.54 tff(31070,plain,
% 17.69/12.54 (~m_main_v_state2(s388, c_t2)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31069, 260, 31035])).
% 17.69/12.54 tff(31071,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s388, c_t2) | (~node12(s388)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s388, c_t2) | (~node12(s388)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31072,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s388, c_t2) | (~node12(s388)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31073,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s388, c_t2) | (~node12(s388))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31072, 31071])).
% 17.69/12.54 tff(31074,plain,
% 17.69/12.54 (~node12(s388)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31073, 633, 31070])).
% 17.69/12.54 tff(31075,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s388, c_n1) | (~node11(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s388, c_n1) | (~node11(s388)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31076,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s388, c_n1) | (~node11(s388)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31077,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s388, c_n1) | (~node11(s388))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31076, 31075])).
% 17.69/12.54 tff(31078,plain,
% 17.69/12.54 (~node11(s388)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31077, 238, 30974])).
% 17.69/12.54 tff(31079,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s388, c_c1) | (~node10(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s388, c_c1) | (~node10(s388)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31080,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s388, c_c1) | (~node10(s388)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31081,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s388, c_c1) | (~node10(s388))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31080, 31079])).
% 17.69/12.54 tff(31082,plain,
% 17.69/12.54 (~node10(s388)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31081, 675, 31007])).
% 17.69/12.54 tff(31083,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s388, c_n1) | (~node9(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s388, c_n1) | (~node9(s388)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31084,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s388, c_n1) | (~node9(s388)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31085,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s388, c_n1) | (~node9(s388))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31084, 31083])).
% 17.69/12.54 tff(31086,plain,
% 17.69/12.54 (~node9(s388)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31085, 686, 30974])).
% 17.69/12.54 tff(31087,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s388, c_n2) | (~node8(s388)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s388, c_n2) | (~node8(s388)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31088,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s388, c_n2) | (~node8(s388)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31089,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s388, c_n2) | (~node8(s388))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31088, 31087])).
% 17.69/12.54 tff(31090,plain,
% 17.69/12.54 (~node8(s388)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31089, 271, 31039])).
% 17.69/12.54 tff(31091,plain,
% 17.69/12.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s388, s389)) | node14(s388, s389))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s388, s389)) | node14(s388, s389))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31092,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s388, s389)) | node14(s388, s389))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31093,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s388, s389)) | node14(s388, s389)),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31092, 31091])).
% 17.69/12.54 tff(31094,plain,
% 17.69/12.54 (node14(s388, s389)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31093, 46, 31050])).
% 17.69/12.54 tff(31095,plain,
% 17.69/12.54 (((~![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(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, 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(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31096,plain,
% 17.69/12.54 (((~m_main_v_state2(s388, c_c2)) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | m_main_v_state2(s389, c_n2)) <=> (m_main_v_state2(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31097,plain,
% 17.69/12.54 (((~![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(s388, c_c2)) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | m_main_v_state2(s389, 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(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2))))),
% 17.69/12.54 inference(monotonicity,[status(thm)],[31096])).
% 17.69/12.54 tff(31098,plain,
% 17.69/12.54 (((~![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(s388, c_c2)) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | m_main_v_state2(s389, 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(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2)))),
% 17.69/12.54 inference(transitivity,[status(thm)],[31097, 31095])).
% 17.69/12.54 tff(31099,plain,
% 17.69/12.54 ((~![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(s388, c_c2)) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | m_main_v_state2(s389, c_n2))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31100,plain,
% 17.69/12.54 ((~![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(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31099, 31098])).
% 17.69/12.54 tff(31101,plain,
% 17.69/12.54 (m_main_v_state2(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~m_main_v_state2(s388, c_c2))),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31100, 726, 31094])).
% 17.69/12.54 tff(31102,plain,
% 17.69/12.54 (m_main_v_state2(s389, c_n2)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31101, 31090, 31035, 31086, 31082, 31078, 31074])).
% 17.69/12.54 tff(31103,plain,
% 17.69/12.54 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_t2)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31104,plain,
% 17.69/12.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_t2)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31105,plain,
% 17.69/12.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_t2))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31104, 31103])).
% 17.69/12.54 tff(31106,plain,
% 17.69/12.54 (~m_main_v_state2(s389, c_t2)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31105, 77, 31102])).
% 17.69/12.54 tff(31107,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s389, c_t2) | (~node15(s389)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s389, c_t2) | (~node15(s389)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31108,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s389, c_t2) | (~node15(s389)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31109,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s389, c_t2) | (~node15(s389))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31108, 31107])).
% 17.69/12.54 tff(31110,plain,
% 17.69/12.54 (~node15(s389)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31109, 103, 31106])).
% 17.69/12.54 tff(31111,plain,
% 17.69/12.54 (succ(s389, s390) <=> succ(s389, s390)),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31112,axiom,(succ(s389, s390)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound390')).
% 17.69/12.54 tff(31113,plain,
% 17.69/12.54 (succ(s389, s390)),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31112, 31111])).
% 17.69/12.54 tff(31114,plain,
% 17.69/12.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s389, s390)) | trans(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s389, s390)) | trans(s389, s390))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31115,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s389, s390)) | trans(s389, s390))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31116,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s389, s390)) | trans(s389, s390)),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31115, 31114])).
% 17.69/12.54 tff(31117,plain,
% 17.69/12.54 (trans(s389, s390)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31116, 31113, 32])).
% 17.69/12.54 tff(31118,plain,
% 17.69/12.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s389, s390)) | node18(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s389, s390)) | node18(s389, s390))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31119,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s389, s390)) | node18(s389, s390))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31120,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s389, s390)) | node18(s389, s390)),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31119, 31118])).
% 17.69/12.54 tff(31121,plain,
% 17.69/12.54 (node18(s389, s390)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31120, 125, 31117])).
% 17.69/12.54 tff(31122,plain,
% 17.69/12.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31123,plain,
% 17.69/12.54 (((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node15(s389) | (~node18(s389, s390)) | m_main_v_turn(s390, c_1)) <=> (node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31124,plain,
% 17.69/12.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node15(s389) | (~node18(s389, s390)) | m_main_v_turn(s390, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1)))),
% 17.69/12.54 inference(monotonicity,[status(thm)],[31123])).
% 17.69/12.54 tff(31125,plain,
% 17.69/12.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node15(s389) | (~node18(s389, s390)) | m_main_v_turn(s390, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1))),
% 17.69/12.54 inference(transitivity,[status(thm)],[31124, 31122])).
% 17.69/12.54 tff(31126,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node15(s389) | (~node18(s389, s390)) | m_main_v_turn(s390, c_1))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31127,plain,
% 17.69/12.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1)),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31126, 31125])).
% 17.69/12.54 tff(31128,plain,
% 17.69/12.54 (node15(s389) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31127, 992, 31121])).
% 17.69/12.54 tff(31129,plain,
% 17.69/12.54 (m_main_v_turn(s390, c_1)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31128, 31110, 31102, 31066])).
% 17.69/12.54 tff(31130,plain,
% 17.69/12.54 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s390, c_1)) | (~m_main_v_turn(s390, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s390, c_1)) | (~m_main_v_turn(s390, c_2)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31131,plain,
% 17.69/12.54 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s390, c_1)) | (~m_main_v_turn(s390, c_2)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31132,plain,
% 17.69/12.54 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s390, c_1)) | (~m_main_v_turn(s390, c_2))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31131, 31130])).
% 17.69/12.54 tff(31133,plain,
% 17.69/12.54 (~m_main_v_turn(s390, c_2)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31132, 156, 31129])).
% 17.69/12.54 tff(31134,plain,
% 17.69/12.54 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s390, c_2) | (~node12(s390)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s390, c_2) | (~node12(s390)))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31135,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s390, c_2) | (~node12(s390)))),
% 17.69/12.54 inference(quant_inst,[status(thm)],[])).
% 17.69/12.54 tff(31136,plain,
% 17.69/12.54 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s390, c_2) | (~node12(s390))),
% 17.69/12.54 inference(modus_ponens,[status(thm)],[31135, 31134])).
% 17.69/12.54 tff(31137,plain,
% 17.69/12.54 (~node12(s390)),
% 17.69/12.54 inference(unit_resolution,[status(thm)],[31136, 184, 31133])).
% 17.69/12.54 tff(31138,plain,
% 17.69/12.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s389, s390)) | node14(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s389, s390)) | node14(s389, s390))),
% 17.69/12.54 inference(rewrite,[status(thm)],[])).
% 17.69/12.54 tff(31139,plain,
% 17.69/12.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s389, s390)) | node14(s389, s390))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31140,plain,
% 17.69/12.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s389, s390)) | node14(s389, s390)),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31139, 31138])).
% 17.69/12.55 tff(31141,plain,
% 17.69/12.55 (node14(s389, s390)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31140, 46, 31117])).
% 17.69/12.55 tff(31142,plain,
% 17.69/12.55 (((~![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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | (~node14(s389, s390)) | m_main_v_state2(s390, 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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | (~node14(s389, s390)) | m_main_v_state2(s390, c_t2))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31143,plain,
% 17.69/12.55 ((~![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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | (~node14(s389, s390)) | m_main_v_state2(s390, c_t2))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31144,plain,
% 17.69/12.55 ((~![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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | (~node14(s389, s390)) | m_main_v_state2(s390, c_t2)),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31143, 31142])).
% 17.69/12.55 tff(31145,plain,
% 17.69/12.55 ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state2(s390, c_t2)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31144, 922, 31141])).
% 17.69/12.55 tff(31146,plain,
% 17.69/12.55 (m_main_v_state2(s390, c_t2)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31145, 31066, 31102])).
% 17.69/12.55 tff(31147,plain,
% 17.69/12.55 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s390, c_n2)) | (~m_main_v_state2(s390, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s390, c_n2)) | (~m_main_v_state2(s390, c_t2)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31148,plain,
% 17.69/12.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s390, c_n2)) | (~m_main_v_state2(s390, c_t2)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31149,plain,
% 17.69/12.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s390, c_n2)) | (~m_main_v_state2(s390, c_t2))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31148, 31147])).
% 17.69/12.55 tff(31150,plain,
% 17.69/12.55 (~m_main_v_state2(s390, c_n2)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31149, 77, 31146])).
% 17.69/12.55 tff(31151,plain,
% 17.69/12.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s390, c_n2) | (~node8(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s390, c_n2) | (~node8(s390)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31152,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s390, c_n2) | (~node8(s390)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31153,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s390, c_n2) | (~node8(s390))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31152, 31151])).
% 17.69/12.55 tff(31154,plain,
% 17.69/12.55 (~node8(s390)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31153, 271, 31150])).
% 17.69/12.55 tff(31155,plain,
% 17.69/12.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s390, c_n2) | (~node9(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s390, c_n2) | (~node9(s390)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31156,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s390, c_n2) | (~node9(s390)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31157,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s390, c_n2) | (~node9(s390))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31156, 31155])).
% 17.69/12.55 tff(31158,plain,
% 17.69/12.55 (~node9(s390)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31157, 88, 31150])).
% 17.69/12.55 tff(31159,plain,
% 17.69/12.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s390, c_n2) | (~node10(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s390, c_n2) | (~node10(s390)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31160,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s390, c_n2) | (~node10(s390)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31161,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s390, c_n2) | (~node10(s390))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31160, 31159])).
% 17.69/12.55 tff(31162,plain,
% 17.69/12.55 (~node10(s390)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31161, 249, 31150])).
% 17.69/12.55 tff(31163,plain,
% 17.69/12.55 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s390, c_t2)) | (~m_main_v_state2(s390, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s390, c_t2)) | (~m_main_v_state2(s390, c_c2)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31164,plain,
% 17.69/12.55 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s390, c_t2)) | (~m_main_v_state2(s390, c_c2)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31165,plain,
% 17.69/12.55 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s390, c_t2)) | (~m_main_v_state2(s390, c_c2))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31164, 31163])).
% 17.69/12.55 tff(31166,plain,
% 17.69/12.55 (~m_main_v_state2(s390, c_c2)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31165, 260, 31146])).
% 17.69/12.55 tff(31167,plain,
% 17.69/12.55 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_c2)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31168,plain,
% 17.69/12.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_c2)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31169,plain,
% 17.69/12.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_c2))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31168, 31167])).
% 17.69/12.55 tff(31170,plain,
% 17.69/12.55 (~m_main_v_state2(s389, c_c2)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31169, 697, 31102])).
% 17.69/12.55 tff(31171,plain,
% 17.69/12.55 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s389, c_c2) | (~node3(s389)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s389, c_c2) | (~node3(s389)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31172,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s389, c_c2) | (~node3(s389)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31173,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s389, c_c2) | (~node3(s389))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31172, 31171])).
% 17.69/12.55 tff(31174,plain,
% 17.69/12.55 (~node3(s389)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31173, 399, 31170])).
% 17.69/12.55 tff(31175,plain,
% 17.69/12.55 (((~![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(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31176,plain,
% 17.69/12.55 (((~node6(s388, s389)) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1))) <=> (m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31177,plain,
% 17.69/12.55 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s388, s389)) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, 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(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389))))),
% 17.69/12.55 inference(monotonicity,[status(thm)],[31176])).
% 17.69/12.55 tff(31178,plain,
% 17.69/12.55 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s388, s389)) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, 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(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389)))),
% 17.69/12.55 inference(transitivity,[status(thm)],[31177, 31175])).
% 17.69/12.55 tff(31179,plain,
% 17.69/12.55 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s388, s389)) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31180,plain,
% 17.69/12.55 ((~![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(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31179, 31178])).
% 17.69/12.55 tff(31181,plain,
% 17.69/12.55 (~m_main_v_state1(s389, c_n1)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31180, 835, 30974, 31059])).
% 17.69/12.55 tff(31182,plain,
% 17.69/12.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s389, c_n1) | (~node2(s389)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s389, c_n1) | (~node2(s389)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31183,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s389, c_n1) | (~node2(s389)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31184,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s389, c_n1) | (~node2(s389))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31183, 31182])).
% 17.69/12.55 tff(31185,plain,
% 17.69/12.55 (~node2(s389)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31184, 787, 31181])).
% 17.69/12.55 tff(31186,plain,
% 17.69/12.55 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s389, c_t2) | (~node1(s389)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s389, c_t2) | (~node1(s389)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31187,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s389, c_t2) | (~node1(s389)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31188,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s389, c_t2) | (~node1(s389))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31187, 31186])).
% 17.69/12.55 tff(31189,plain,
% 17.69/12.55 (~node1(s389)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31188, 195, 31106])).
% 17.69/12.55 tff(31190,plain,
% 17.69/12.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s389, s390)) | node7(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s389, s390)) | node7(s389, s390))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31191,plain,
% 17.69/12.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s389, s390)) | node7(s389, s390))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31192,plain,
% 17.69/12.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s389, s390)) | node7(s389, s390)),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31191, 31190])).
% 17.69/12.55 tff(31193,plain,
% 17.69/12.55 (node7(s389, s390)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31192, 206, 31117])).
% 17.69/12.55 tff(31194,plain,
% 17.69/12.55 (((~![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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31195,plain,
% 17.69/12.55 (((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)) | m_main_v_state1(s390, c_c1)) <=> ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31196,plain,
% 17.69/12.55 (((~![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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)) | m_main_v_state1(s390, 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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390))))),
% 17.69/12.55 inference(monotonicity,[status(thm)],[31195])).
% 17.69/12.55 tff(31197,plain,
% 17.69/12.55 (((~![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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)) | m_main_v_state1(s390, 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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)))),
% 17.69/12.55 inference(transitivity,[status(thm)],[31196, 31194])).
% 17.69/12.55 tff(31198,plain,
% 17.69/12.55 ((~![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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)) | m_main_v_state1(s390, c_c1))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31199,plain,
% 17.69/12.55 ((~![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(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31198, 31197])).
% 17.69/12.55 tff(31200,plain,
% 17.69/12.55 ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31199, 892, 31193])).
% 17.69/12.55 tff(31201,plain,
% 17.69/12.55 (m_main_v_state1(s390, c_c1)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31200, 31189, 31102, 31066, 31185, 31174])).
% 17.69/12.55 tff(31202,plain,
% 17.69/12.55 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s390, c_n1)) | (~m_main_v_state1(s390, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s390, c_n1)) | (~m_main_v_state1(s390, c_c1)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31203,plain,
% 17.69/12.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s390, c_n1)) | (~m_main_v_state1(s390, c_c1)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31204,plain,
% 17.69/12.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s390, c_n1)) | (~m_main_v_state1(s390, c_c1))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31203, 31202])).
% 17.69/12.55 tff(31205,plain,
% 17.69/12.55 (~m_main_v_state1(s390, c_n1)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31204, 454, 31201])).
% 17.69/12.55 tff(31206,plain,
% 17.69/12.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s390, c_n1) | (~node11(s390)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s390, c_n1) | (~node11(s390)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31207,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s390, c_n1) | (~node11(s390)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31208,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s390, c_n1) | (~node11(s390))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31207, 31206])).
% 17.69/12.55 tff(31209,plain,
% 17.69/12.55 (~node11(s390)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31208, 238, 31205])).
% 17.69/12.55 tff(31210,plain,
% 17.69/12.55 (succ(s390, s391) <=> succ(s390, s391)),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31211,axiom,(succ(s390, s391)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound391')).
% 17.69/12.55 tff(31212,plain,
% 17.69/12.55 (succ(s390, s391)),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31211, 31210])).
% 17.69/12.55 tff(31213,plain,
% 17.69/12.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s390, s391)) | trans(s390, s391))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s390, s391)) | trans(s390, s391))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31214,plain,
% 17.69/12.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s390, s391)) | trans(s390, s391))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31215,plain,
% 17.69/12.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s390, s391)) | trans(s390, s391)),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31214, 31213])).
% 17.69/12.55 tff(31216,plain,
% 17.69/12.55 (trans(s390, s391)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31215, 31212, 32])).
% 17.69/12.55 tff(31217,plain,
% 17.69/12.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s390, s391)) | node14(s390, s391))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s390, s391)) | node14(s390, s391))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31218,plain,
% 17.69/12.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s390, s391)) | node14(s390, s391))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31219,plain,
% 17.69/12.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s390, s391)) | node14(s390, s391)),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31218, 31217])).
% 17.69/12.55 tff(31220,plain,
% 17.69/12.55 (node14(s390, s391)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31219, 46, 31216])).
% 17.69/12.55 tff(31221,plain,
% 17.69/12.55 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s390, c_c2) | node9(s390) | node8(s390) | node10(s390) | node11(s390) | node12(s390) | node13(s390, s391) | (~node14(s390, s391)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s390, c_c2) | node9(s390) | node8(s390) | node10(s390) | node11(s390) | node12(s390) | node13(s390, s391) | (~node14(s390, s391)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31222,plain,
% 17.69/12.55 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s390, c_c2) | node9(s390) | node8(s390) | node10(s390) | node11(s390) | node12(s390) | node13(s390, s391) | (~node14(s390, s391)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31223,plain,
% 17.69/12.55 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s390, c_c2) | node9(s390) | node8(s390) | node10(s390) | node11(s390) | node12(s390) | node13(s390, s391) | (~node14(s390, s391))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31222, 31221])).
% 17.69/12.55 tff(31224,plain,
% 17.69/12.55 (m_main_v_state2(s390, c_c2) | node9(s390) | node8(s390) | node10(s390) | node11(s390) | node12(s390) | node13(s390, s391)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31223, 296, 31220])).
% 17.69/12.55 tff(31225,plain,
% 17.69/12.55 (node13(s390, s391)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31224, 31209, 31166, 31162, 31158, 31154, 31137])).
% 17.69/12.55 tff(31226,plain,
% 17.69/12.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31227,plain,
% 17.69/12.55 (((~node13(s390, s391)) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2))) <=> (m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31228,plain,
% 17.69/12.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s390, s391)) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, 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(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391))))),
% 17.69/12.55 inference(monotonicity,[status(thm)],[31227])).
% 17.69/12.55 tff(31229,plain,
% 17.69/12.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s390, s391)) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, 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(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391)))),
% 17.69/12.55 inference(transitivity,[status(thm)],[31228, 31226])).
% 17.69/12.55 tff(31230,plain,
% 17.69/12.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s390, s391)) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31231,plain,
% 17.69/12.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31230, 31229])).
% 17.69/12.55 tff(31232,plain,
% 17.69/12.55 (~m_main_v_state2(s391, c_n2)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31231, 311, 31150, 31225])).
% 17.69/12.55 tff(31233,plain,
% 17.69/12.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s391, c_n2) | (~node9(s391)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s391, c_n2) | (~node9(s391)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31234,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s391, c_n2) | (~node9(s391)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31235,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s391, c_n2) | (~node9(s391))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31234, 31233])).
% 17.69/12.55 tff(31236,plain,
% 17.69/12.55 (~node9(s391)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31235, 88, 31232])).
% 17.69/12.55 tff(31237,plain,
% 17.69/12.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s391, c_n2) | (~node10(s391)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s391, c_n2) | (~node10(s391)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31238,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s391, c_n2) | (~node10(s391)))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31239,plain,
% 17.69/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s391, c_n2) | (~node10(s391))),
% 17.69/12.55 inference(modus_ponens,[status(thm)],[31238, 31237])).
% 17.69/12.55 tff(31240,plain,
% 17.69/12.55 (~node10(s391)),
% 17.69/12.55 inference(unit_resolution,[status(thm)],[31239, 249, 31232])).
% 17.69/12.55 tff(31241,plain,
% 17.69/12.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31242,plain,
% 17.69/12.55 (((~node13(s390, s391)) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2)) <=> ((~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391)))),
% 17.69/12.55 inference(rewrite,[status(thm)],[])).
% 17.69/12.55 tff(31243,plain,
% 17.69/12.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s390, s391)) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, 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(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391))))),
% 17.69/12.55 inference(monotonicity,[status(thm)],[31242])).
% 17.69/12.55 tff(31244,plain,
% 17.69/12.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s390, s391)) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, 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(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391)))),
% 17.69/12.55 inference(transitivity,[status(thm)],[31243, 31241])).
% 17.69/12.55 tff(31245,plain,
% 17.69/12.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s390, s391)) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2))),
% 17.69/12.55 inference(quant_inst,[status(thm)],[])).
% 17.69/12.55 tff(31246,plain,
% 17.69/12.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391))),
% 17.76/12.55 inference(modus_ponens,[status(thm)],[31245, 31244])).
% 17.76/12.55 tff(31247,plain,
% 17.76/12.55 (m_main_v_state2(s391, c_t2)),
% 17.76/12.55 inference(unit_resolution,[status(thm)],[31246, 518, 31146, 31225])).
% 17.76/12.55 tff(31248,plain,
% 17.76/12.55 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s390, c_t1)) | (~m_main_v_state1(s390, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s390, c_t1)) | (~m_main_v_state1(s390, c_c1)))),
% 17.76/12.55 inference(rewrite,[status(thm)],[])).
% 17.76/12.55 tff(31249,plain,
% 17.76/12.55 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s390, c_t1)) | (~m_main_v_state1(s390, c_c1)))),
% 17.76/12.55 inference(quant_inst,[status(thm)],[])).
% 17.76/12.55 tff(31250,plain,
% 17.76/12.55 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s390, c_t1)) | (~m_main_v_state1(s390, c_c1))),
% 17.76/12.55 inference(modus_ponens,[status(thm)],[31249, 31248])).
% 17.76/12.55 tff(31251,plain,
% 17.76/12.55 (~m_main_v_state1(s390, c_t1)),
% 17.76/12.55 inference(unit_resolution,[status(thm)],[31250, 539, 31201])).
% 17.76/12.55 tff(31252,plain,
% 17.76/12.55 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s390, c_t1) | (~node5(s390)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s390, c_t1) | (~node5(s390)))),
% 17.76/12.55 inference(rewrite,[status(thm)],[])).
% 17.76/12.55 tff(31253,plain,
% 17.76/12.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s390, c_t1) | (~node5(s390)))),
% 17.76/12.55 inference(quant_inst,[status(thm)],[])).
% 17.76/12.55 tff(31254,plain,
% 17.76/12.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s390, c_t1) | (~node5(s390))),
% 17.76/12.55 inference(modus_ponens,[status(thm)],[31253, 31252])).
% 17.76/12.55 tff(31255,plain,
% 17.76/12.55 (~node5(s390)),
% 17.76/12.55 inference(unit_resolution,[status(thm)],[31254, 550, 31251])).
% 17.76/12.55 tff(31256,plain,
% 17.76/12.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s390, c_n2) | (~node4(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s390, c_n2) | (~node4(s390)))),
% 17.76/12.55 inference(rewrite,[status(thm)],[])).
% 17.76/12.55 tff(31257,plain,
% 17.76/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s390, c_n2) | (~node4(s390)))),
% 17.76/12.55 inference(quant_inst,[status(thm)],[])).
% 17.76/12.55 tff(31258,plain,
% 17.76/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s390, c_n2) | (~node4(s390))),
% 17.76/12.55 inference(modus_ponens,[status(thm)],[31257, 31256])).
% 17.76/12.55 tff(31259,plain,
% 17.76/12.55 (~node4(s390)),
% 17.76/12.55 inference(unit_resolution,[status(thm)],[31258, 388, 31150])).
% 17.76/12.55 tff(31260,plain,
% 17.76/12.55 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s390, c_c2) | (~node3(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s390, c_c2) | (~node3(s390)))),
% 17.76/12.55 inference(rewrite,[status(thm)],[])).
% 17.76/12.55 tff(31261,plain,
% 17.76/12.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s390, c_c2) | (~node3(s390)))),
% 17.76/12.55 inference(quant_inst,[status(thm)],[])).
% 17.76/12.55 tff(31262,plain,
% 17.76/12.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s390, c_c2) | (~node3(s390))),
% 17.76/12.55 inference(modus_ponens,[status(thm)],[31261, 31260])).
% 17.76/12.55 tff(31263,plain,
% 17.76/12.55 (~node3(s390)),
% 17.76/12.55 inference(unit_resolution,[status(thm)],[31262, 399, 31166])).
% 17.76/12.55 tff(31264,plain,
% 17.76/12.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s390, c_n2) | (~node2(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s390, c_n2) | (~node2(s390)))),
% 17.76/12.55 inference(rewrite,[status(thm)],[])).
% 17.76/12.55 tff(31265,plain,
% 17.76/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s390, c_n2) | (~node2(s390)))),
% 17.76/12.55 inference(quant_inst,[status(thm)],[])).
% 17.76/12.55 tff(31266,plain,
% 17.76/12.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s390, c_n2) | (~node2(s390))),
% 17.76/12.55 inference(modus_ponens,[status(thm)],[31265, 31264])).
% 17.76/12.56 tff(31267,plain,
% 17.76/12.56 (~node2(s390)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31266, 410, 31150])).
% 17.76/12.56 tff(31268,plain,
% 17.76/12.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s390, c_n1) | (~node1(s390)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s390, c_n1) | (~node1(s390)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31269,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s390, c_n1) | (~node1(s390)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31270,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s390, c_n1) | (~node1(s390))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31269, 31268])).
% 17.76/12.56 tff(31271,plain,
% 17.76/12.56 (~node1(s390)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31270, 421, 31205])).
% 17.76/12.56 tff(31272,plain,
% 17.76/12.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s390, s391)) | node7(s390, s391))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s390, s391)) | node7(s390, s391))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31273,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s390, s391)) | node7(s390, s391))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31274,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s390, s391)) | node7(s390, s391)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31273, 31272])).
% 17.76/12.56 tff(31275,plain,
% 17.76/12.56 (node7(s390, s391)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31274, 206, 31216])).
% 17.76/12.56 tff(31276,plain,
% 17.76/12.56 (((~![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(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31277,plain,
% 17.76/12.56 (((~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)) | m_main_v_state1(s391, c_n1)) <=> (m_main_v_state1(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31278,plain,
% 17.76/12.56 (((~![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(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)) | m_main_v_state1(s391, 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(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391))))),
% 17.76/12.56 inference(monotonicity,[status(thm)],[31277])).
% 17.76/12.56 tff(31279,plain,
% 17.76/12.56 (((~![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(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)) | m_main_v_state1(s391, 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(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)))),
% 17.76/12.56 inference(transitivity,[status(thm)],[31278, 31276])).
% 17.76/12.56 tff(31280,plain,
% 17.76/12.56 ((~![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(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)) | m_main_v_state1(s391, c_n1))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31281,plain,
% 17.76/12.56 ((~![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(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31280, 31279])).
% 17.76/12.56 tff(31282,plain,
% 17.76/12.56 (m_main_v_state1(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31281, 584, 31275])).
% 17.76/12.56 tff(31283,plain,
% 17.76/12.56 (m_main_v_state1(s391, c_n1)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31282, 31271, 31201, 31267, 31263, 31259, 31255])).
% 17.76/12.56 tff(31284,plain,
% 17.76/12.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s391, c_n2) | (~node8(s391)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s391, c_n2) | (~node8(s391)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31285,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s391, c_n2) | (~node8(s391)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31286,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s391, c_n2) | (~node8(s391))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31285, 31284])).
% 17.76/12.56 tff(31287,plain,
% 17.76/12.56 (~node8(s391)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31286, 271, 31232])).
% 17.76/12.56 tff(31288,plain,
% 17.76/12.56 (succ(s391, s392) <=> succ(s391, s392)),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31289,axiom,(succ(s391, s392)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound392')).
% 17.76/12.56 tff(31290,plain,
% 17.76/12.56 (succ(s391, s392)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31289, 31288])).
% 17.76/12.56 tff(31291,plain,
% 17.76/12.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s391, s392)) | trans(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s391, s392)) | trans(s391, s392))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31292,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s391, s392)) | trans(s391, s392))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31293,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s391, s392)) | trans(s391, s392)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31292, 31291])).
% 17.76/12.56 tff(31294,plain,
% 17.76/12.56 (trans(s391, s392)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31293, 31290, 32])).
% 17.76/12.56 tff(31295,plain,
% 17.76/12.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s391, s392)) | node14(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s391, s392)) | node14(s391, s392))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31296,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s391, s392)) | node14(s391, s392))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31297,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s391, s392)) | node14(s391, s392)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31296, 31295])).
% 17.76/12.56 tff(31298,plain,
% 17.76/12.56 (node14(s391, s392)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31297, 46, 31294])).
% 17.76/12.56 tff(31299,plain,
% 17.76/12.56 (((~![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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | node9(s391) | node8(s391) | node10(s391) | (~node14(s391, s392)) | m_main_v_state2(s392, 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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | node9(s391) | node8(s391) | node10(s391) | (~node14(s391, s392)) | m_main_v_state2(s392, c_c2))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31300,plain,
% 17.76/12.56 ((~![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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | node9(s391) | node8(s391) | node10(s391) | (~node14(s391, s392)) | m_main_v_state2(s392, c_c2))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31301,plain,
% 17.76/12.56 ((~![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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | node9(s391) | node8(s391) | node10(s391) | (~node14(s391, s392)) | m_main_v_state2(s392, c_c2)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31300, 31299])).
% 17.76/12.56 tff(31302,plain,
% 17.76/12.56 ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | node9(s391) | node8(s391) | node10(s391) | m_main_v_state2(s392, c_c2)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31301, 617, 31298])).
% 17.76/12.56 tff(31303,plain,
% 17.76/12.56 (m_main_v_state2(s392, c_c2)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31302, 31287, 31283, 31247, 31240, 31236])).
% 17.76/12.56 tff(31304,plain,
% 17.76/12.56 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s392, c_t2)) | (~m_main_v_state2(s392, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s392, c_t2)) | (~m_main_v_state2(s392, c_c2)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31305,plain,
% 17.76/12.56 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s392, c_t2)) | (~m_main_v_state2(s392, c_c2)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31306,plain,
% 17.76/12.56 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s392, c_t2)) | (~m_main_v_state2(s392, c_c2))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31305, 31304])).
% 17.76/12.56 tff(31307,plain,
% 17.76/12.56 (~m_main_v_state2(s392, c_t2)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31306, 260, 31303])).
% 17.76/12.56 tff(31308,plain,
% 17.76/12.56 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s392, c_t2) | (~node12(s392)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s392, c_t2) | (~node12(s392)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31309,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s392, c_t2) | (~node12(s392)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31310,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s392, c_t2) | (~node12(s392))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31309, 31308])).
% 17.76/12.56 tff(31311,plain,
% 17.76/12.56 (~node12(s392)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31310, 633, 31307])).
% 17.76/12.56 tff(31312,plain,
% 17.76/12.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s391, s392)) | node7(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s391, s392)) | node7(s391, s392))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31313,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s391, s392)) | node7(s391, s392))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31314,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s391, s392)) | node7(s391, s392)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31313, 31312])).
% 17.76/12.56 tff(31315,plain,
% 17.76/12.56 (node7(s391, s392)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31314, 206, 31294])).
% 17.76/12.56 tff(31316,plain,
% 17.76/12.56 (((~![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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node7(s391, s392)) | m_main_v_state1(s392, 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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node7(s391, s392)) | m_main_v_state1(s392, c_t1))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31317,plain,
% 17.76/12.56 ((~![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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node7(s391, s392)) | m_main_v_state1(s392, c_t1))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31318,plain,
% 17.76/12.56 ((~![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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node7(s391, s392)) | m_main_v_state1(s392, c_t1)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31317, 31316])).
% 17.76/12.56 tff(31319,plain,
% 17.76/12.56 ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | m_main_v_state1(s392, c_t1)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31318, 651, 31315])).
% 17.76/12.56 tff(31320,plain,
% 17.76/12.56 (m_main_v_state1(s392, c_t1)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31319, 31247, 31283])).
% 17.76/12.56 tff(31321,plain,
% 17.76/12.56 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s392, c_n1)) | (~m_main_v_state1(s392, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s392, c_n1)) | (~m_main_v_state1(s392, c_t1)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31322,plain,
% 17.76/12.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s392, c_n1)) | (~m_main_v_state1(s392, c_t1)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31323,plain,
% 17.76/12.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s392, c_n1)) | (~m_main_v_state1(s392, c_t1))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31322, 31321])).
% 17.76/12.56 tff(31324,plain,
% 17.76/12.56 (~m_main_v_state1(s392, c_n1)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31323, 10, 31320])).
% 17.76/12.56 tff(31325,plain,
% 17.76/12.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s392, c_n1) | (~node11(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s392, c_n1) | (~node11(s392)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31326,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s392, c_n1) | (~node11(s392)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31327,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s392, c_n1) | (~node11(s392))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31326, 31325])).
% 17.76/12.56 tff(31328,plain,
% 17.76/12.56 (~node11(s392)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31327, 238, 31324])).
% 17.76/12.56 tff(31329,plain,
% 17.76/12.56 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s392, c_t1)) | (~m_main_v_state1(s392, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s392, c_t1)) | (~m_main_v_state1(s392, c_c1)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31330,plain,
% 17.76/12.56 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s392, c_t1)) | (~m_main_v_state1(s392, c_c1)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31331,plain,
% 17.76/12.56 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s392, c_t1)) | (~m_main_v_state1(s392, c_c1))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31330, 31329])).
% 17.76/12.56 tff(31332,plain,
% 17.76/12.56 (~m_main_v_state1(s392, c_c1)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31331, 539, 31320])).
% 17.76/12.56 tff(31333,plain,
% 17.76/12.56 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s392, c_c1) | (~node10(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s392, c_c1) | (~node10(s392)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31334,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s392, c_c1) | (~node10(s392)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31335,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s392, c_c1) | (~node10(s392))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31334, 31333])).
% 17.76/12.56 tff(31336,plain,
% 17.76/12.56 (~node10(s392)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31335, 675, 31332])).
% 17.76/12.56 tff(31337,plain,
% 17.76/12.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s392, c_n1) | (~node9(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s392, c_n1) | (~node9(s392)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31338,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s392, c_n1) | (~node9(s392)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31339,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s392, c_n1) | (~node9(s392))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31338, 31337])).
% 17.76/12.56 tff(31340,plain,
% 17.76/12.56 (~node9(s392)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31339, 686, 31324])).
% 17.76/12.56 tff(31341,plain,
% 17.76/12.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s392, c_n2)) | (~m_main_v_state2(s392, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s392, c_n2)) | (~m_main_v_state2(s392, c_c2)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31342,plain,
% 17.76/12.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s392, c_n2)) | (~m_main_v_state2(s392, c_c2)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31343,plain,
% 17.76/12.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s392, c_n2)) | (~m_main_v_state2(s392, c_c2))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31342, 31341])).
% 17.76/12.56 tff(31344,plain,
% 17.76/12.56 (~m_main_v_state2(s392, c_n2)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31343, 697, 31303])).
% 17.76/12.56 tff(31345,plain,
% 17.76/12.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s392, c_n2) | (~node8(s392)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s392, c_n2) | (~node8(s392)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31346,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s392, c_n2) | (~node8(s392)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31347,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s392, c_n2) | (~node8(s392))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31346, 31345])).
% 17.76/12.56 tff(31348,plain,
% 17.76/12.56 (~node8(s392)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31347, 271, 31344])).
% 17.76/12.56 tff(31349,plain,
% 17.76/12.56 (succ(s392, s393) <=> succ(s392, s393)),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31350,axiom,(succ(s392, s393)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound393')).
% 17.76/12.56 tff(31351,plain,
% 17.76/12.56 (succ(s392, s393)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31350, 31349])).
% 17.76/12.56 tff(31352,plain,
% 17.76/12.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s392, s393)) | trans(s392, s393))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s392, s393)) | trans(s392, s393))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31353,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s392, s393)) | trans(s392, s393))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31354,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s392, s393)) | trans(s392, s393)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31353, 31352])).
% 17.76/12.56 tff(31355,plain,
% 17.76/12.56 (trans(s392, s393)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31354, 31351, 32])).
% 17.76/12.56 tff(31356,plain,
% 17.76/12.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s392, s393)) | node14(s392, s393))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s392, s393)) | node14(s392, s393))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31357,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s392, s393)) | node14(s392, s393))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31358,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s392, s393)) | node14(s392, s393)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31357, 31356])).
% 17.76/12.56 tff(31359,plain,
% 17.76/12.56 (node14(s392, s393)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31358, 46, 31355])).
% 17.76/12.56 tff(31360,plain,
% 17.76/12.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, 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(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31361,plain,
% 17.76/12.56 (((~m_main_v_state2(s392, c_c2)) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | m_main_v_state2(s393, c_n2)) <=> (m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31362,plain,
% 17.76/12.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s392, c_c2)) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | m_main_v_state2(s393, 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(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2))))),
% 17.76/12.56 inference(monotonicity,[status(thm)],[31361])).
% 17.76/12.56 tff(31363,plain,
% 17.76/12.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s392, c_c2)) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | m_main_v_state2(s393, 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(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2)))),
% 17.76/12.56 inference(transitivity,[status(thm)],[31362, 31360])).
% 17.76/12.56 tff(31364,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s392, c_c2)) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | m_main_v_state2(s393, c_n2))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31365,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31364, 31363])).
% 17.76/12.56 tff(31366,plain,
% 17.76/12.56 (m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~m_main_v_state2(s392, c_c2))),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31365, 726, 31359])).
% 17.76/12.56 tff(31367,plain,
% 17.76/12.56 (m_main_v_state2(s393, c_n2)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31366, 31348, 31303, 31340, 31336, 31328, 31311])).
% 17.76/12.56 tff(31368,plain,
% 17.76/12.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_c2)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31369,plain,
% 17.76/12.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_c2)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31370,plain,
% 17.76/12.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_c2))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31369, 31368])).
% 17.76/12.56 tff(31371,plain,
% 17.76/12.56 (~m_main_v_state2(s393, c_c2)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31370, 697, 31367])).
% 17.76/12.56 tff(31372,plain,
% 17.76/12.56 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s393, c_c2) | (~node3(s393)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s393, c_c2) | (~node3(s393)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31373,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s393, c_c2) | (~node3(s393)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31374,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s393, c_c2) | (~node3(s393))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31373, 31372])).
% 17.76/12.56 tff(31375,plain,
% 17.76/12.56 (~node3(s393)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31374, 399, 31371])).
% 17.76/12.56 tff(31376,plain,
% 17.76/12.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s392, c_n1) | (~node1(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s392, c_n1) | (~node1(s392)))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31377,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s392, c_n1) | (~node1(s392)))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31378,plain,
% 17.76/12.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s392, c_n1) | (~node1(s392))),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31377, 31376])).
% 17.76/12.56 tff(31379,plain,
% 17.76/12.56 (~node1(s392)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31378, 421, 31324])).
% 17.76/12.56 tff(31380,plain,
% 17.76/12.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s391, s392)) | node18(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s391, s392)) | node18(s391, s392))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31381,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s391, s392)) | node18(s391, s392))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31382,plain,
% 17.76/12.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s391, s392)) | node18(s391, s392)),
% 17.76/12.56 inference(modus_ponens,[status(thm)],[31381, 31380])).
% 17.76/12.56 tff(31383,plain,
% 17.76/12.56 (node18(s391, s392)),
% 17.76/12.56 inference(unit_resolution,[status(thm)],[31382, 125, 31294])).
% 17.76/12.56 tff(31384,plain,
% 17.76/12.56 (((~![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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node18(s391, s392)) | m_main_v_turn(s392, 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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node18(s391, s392)) | m_main_v_turn(s392, c_2))),
% 17.76/12.56 inference(rewrite,[status(thm)],[])).
% 17.76/12.56 tff(31385,plain,
% 17.76/12.56 ((~![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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node18(s391, s392)) | m_main_v_turn(s392, c_2))),
% 17.76/12.56 inference(quant_inst,[status(thm)],[])).
% 17.76/12.56 tff(31386,plain,
% 17.76/12.56 ((~![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(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node18(s391, s392)) | m_main_v_turn(s392, c_2)),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31385, 31384])).
% 17.76/12.57 tff(31387,plain,
% 17.76/12.57 ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | m_main_v_turn(s392, c_2)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31386, 760, 31383])).
% 17.76/12.57 tff(31388,plain,
% 17.76/12.57 (m_main_v_turn(s392, c_2)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31387, 31247, 31283])).
% 17.76/12.57 tff(31389,plain,
% 17.76/12.57 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s392, c_1)) | (~m_main_v_turn(s392, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s392, c_1)) | (~m_main_v_turn(s392, c_2)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31390,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s392, c_1)) | (~m_main_v_turn(s392, c_2)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31391,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s392, c_1)) | (~m_main_v_turn(s392, c_2))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31390, 31389])).
% 17.76/12.57 tff(31392,plain,
% 17.76/12.57 (~m_main_v_turn(s392, c_1)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31391, 156, 31388])).
% 17.76/12.57 tff(31393,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s392, c_1) | (~node5(s392)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s392, c_1) | (~node5(s392)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31394,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s392, c_1) | (~node5(s392)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31395,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s392, c_1) | (~node5(s392))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31394, 31393])).
% 17.76/12.57 tff(31396,plain,
% 17.76/12.57 (~node5(s392)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31395, 776, 31392])).
% 17.76/12.57 tff(31397,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s392, c_n1) | (~node2(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s392, c_n1) | (~node2(s392)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31398,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s392, c_n1) | (~node2(s392)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31399,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s392, c_n1) | (~node2(s392))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31398, 31397])).
% 17.76/12.57 tff(31400,plain,
% 17.76/12.57 (~node2(s392)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31399, 787, 31324])).
% 17.76/12.57 tff(31401,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s392, c_n1) | (~node3(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s392, c_n1) | (~node3(s392)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31402,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s392, c_n1) | (~node3(s392)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31403,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s392, c_n1) | (~node3(s392))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31402, 31401])).
% 17.76/12.57 tff(31404,plain,
% 17.76/12.57 (~node3(s392)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31403, 798, 31324])).
% 17.76/12.57 tff(31405,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s392, c_n2) | (~node4(s392)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s392, c_n2) | (~node4(s392)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31406,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s392, c_n2) | (~node4(s392)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31407,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s392, c_n2) | (~node4(s392))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31406, 31405])).
% 17.76/12.57 tff(31408,plain,
% 17.76/12.57 (~node4(s392)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31407, 388, 31344])).
% 17.76/12.57 tff(31409,plain,
% 17.76/12.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s392, s393)) | node7(s392, s393))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s392, s393)) | node7(s392, s393))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31410,plain,
% 17.76/12.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s392, s393)) | node7(s392, s393))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31411,plain,
% 17.76/12.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s392, s393)) | node7(s392, s393)),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31410, 31409])).
% 17.76/12.57 tff(31412,plain,
% 17.76/12.57 (node7(s392, s393)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31411, 206, 31355])).
% 17.76/12.57 tff(31413,plain,
% 17.76/12.57 (((~![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(s392, c_c1) | node1(s392) | node2(s392) | node3(s392) | node4(s392) | node5(s392) | node6(s392, s393) | (~node7(s392, s393)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s392, c_c1) | node1(s392) | node2(s392) | node3(s392) | node4(s392) | node5(s392) | node6(s392, s393) | (~node7(s392, s393)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31414,plain,
% 17.76/12.57 ((~![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(s392, c_c1) | node1(s392) | node2(s392) | node3(s392) | node4(s392) | node5(s392) | node6(s392, s393) | (~node7(s392, s393)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31415,plain,
% 17.76/12.57 ((~![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(s392, c_c1) | node1(s392) | node2(s392) | node3(s392) | node4(s392) | node5(s392) | node6(s392, s393) | (~node7(s392, s393))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31414, 31413])).
% 17.76/12.57 tff(31416,plain,
% 17.76/12.57 (m_main_v_state1(s392, c_c1) | node1(s392) | node2(s392) | node3(s392) | node4(s392) | node5(s392) | node6(s392, s393)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31415, 820, 31412])).
% 17.76/12.57 tff(31417,plain,
% 17.76/12.57 (node6(s392, s393)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31416, 31408, 31332, 31404, 31400, 31396, 31379])).
% 17.76/12.57 tff(31418,plain,
% 17.76/12.57 (((~![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(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31419,plain,
% 17.76/12.57 (((~node6(s392, s393)) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1))) <=> (m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31420,plain,
% 17.76/12.57 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s392, s393)) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, 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(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393))))),
% 17.76/12.57 inference(monotonicity,[status(thm)],[31419])).
% 17.76/12.57 tff(31421,plain,
% 17.76/12.57 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s392, s393)) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, 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(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393)))),
% 17.76/12.57 inference(transitivity,[status(thm)],[31420, 31418])).
% 17.76/12.57 tff(31422,plain,
% 17.76/12.57 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s392, s393)) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31423,plain,
% 17.76/12.57 ((~![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(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31422, 31421])).
% 17.76/12.57 tff(31424,plain,
% 17.76/12.57 (~m_main_v_state1(s393, c_n1)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31423, 835, 31324, 31417])).
% 17.76/12.57 tff(31425,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s393, c_n1) | (~node2(s393)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s393, c_n1) | (~node2(s393)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31426,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s393, c_n1) | (~node2(s393)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31427,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s393, c_n1) | (~node2(s393))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31426, 31425])).
% 17.76/12.57 tff(31428,plain,
% 17.76/12.57 (~node2(s393)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31427, 787, 31424])).
% 17.76/12.57 tff(31429,plain,
% 17.76/12.57 (((~![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(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31430,plain,
% 17.76/12.57 (((~node6(s392, s393)) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1)) <=> ((~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31431,plain,
% 17.76/12.57 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s392, s393)) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, 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(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393))))),
% 17.76/12.57 inference(monotonicity,[status(thm)],[31430])).
% 17.76/12.57 tff(31432,plain,
% 17.76/12.57 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s392, s393)) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, 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(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393)))),
% 17.76/12.57 inference(transitivity,[status(thm)],[31431, 31429])).
% 17.76/12.57 tff(31433,plain,
% 17.76/12.57 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s392, s393)) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31434,plain,
% 17.76/12.57 ((~![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(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31433, 31432])).
% 17.76/12.57 tff(31435,plain,
% 17.76/12.57 (m_main_v_state1(s393, c_t1)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31434, 856, 31320, 31417])).
% 17.76/12.57 tff(31436,plain,
% 17.76/12.57 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_t2)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31437,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_t2)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31438,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_t2))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31437, 31436])).
% 17.76/12.57 tff(31439,plain,
% 17.76/12.57 (~m_main_v_state2(s393, c_t2)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31438, 77, 31367])).
% 17.76/12.57 tff(31440,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s393, c_t2) | (~node1(s393)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s393, c_t2) | (~node1(s393)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31441,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s393, c_t2) | (~node1(s393)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31442,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s393, c_t2) | (~node1(s393))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31441, 31440])).
% 17.76/12.57 tff(31443,plain,
% 17.76/12.57 (~node1(s393)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31442, 195, 31439])).
% 17.76/12.57 tff(31444,plain,
% 17.76/12.57 (succ(s393, s394) <=> succ(s393, s394)),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31445,axiom,(succ(s393, s394)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound394')).
% 17.76/12.57 tff(31446,plain,
% 17.76/12.57 (succ(s393, s394)),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31445, 31444])).
% 17.76/12.57 tff(31447,plain,
% 17.76/12.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s393, s394)) | trans(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s393, s394)) | trans(s393, s394))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31448,plain,
% 17.76/12.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s393, s394)) | trans(s393, s394))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31449,plain,
% 17.76/12.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s393, s394)) | trans(s393, s394)),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31448, 31447])).
% 17.76/12.57 tff(31450,plain,
% 17.76/12.57 (trans(s393, s394)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31449, 31446, 32])).
% 17.76/12.57 tff(31451,plain,
% 17.76/12.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s393, s394)) | node7(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s393, s394)) | node7(s393, s394))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31452,plain,
% 17.76/12.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s393, s394)) | node7(s393, s394))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31453,plain,
% 17.76/12.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s393, s394)) | node7(s393, s394)),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31452, 31451])).
% 17.76/12.57 tff(31454,plain,
% 17.76/12.57 (node7(s393, s394)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31453, 206, 31450])).
% 17.76/12.57 tff(31455,plain,
% 17.76/12.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31456,plain,
% 17.76/12.57 (((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)) | m_main_v_state1(s394, c_c1)) <=> ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31457,plain,
% 17.76/12.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)) | m_main_v_state1(s394, 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(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394))))),
% 17.76/12.57 inference(monotonicity,[status(thm)],[31456])).
% 17.76/12.57 tff(31458,plain,
% 17.76/12.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)) | m_main_v_state1(s394, 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(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)))),
% 17.76/12.57 inference(transitivity,[status(thm)],[31457, 31455])).
% 17.76/12.57 tff(31459,plain,
% 17.76/12.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)) | m_main_v_state1(s394, c_c1))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31460,plain,
% 17.76/12.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31459, 31458])).
% 17.76/12.57 tff(31461,plain,
% 17.76/12.57 ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31460, 892, 31454])).
% 17.76/12.57 tff(31462,plain,
% 17.76/12.57 (m_main_v_state1(s394, c_c1)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31461, 31443, 31367, 31435, 31428, 31375])).
% 17.76/12.57 tff(31463,plain,
% 17.76/12.57 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s394, c_t1)) | (~m_main_v_state1(s394, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s394, c_t1)) | (~m_main_v_state1(s394, c_c1)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31464,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s394, c_t1)) | (~m_main_v_state1(s394, c_c1)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31465,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s394, c_t1)) | (~m_main_v_state1(s394, c_c1))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31464, 31463])).
% 17.76/12.57 tff(31466,plain,
% 17.76/12.57 (~m_main_v_state1(s394, c_t1)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31465, 539, 31462])).
% 17.76/12.57 tff(31467,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s394, c_t1) | (~node5(s394)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s394, c_t1) | (~node5(s394)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31468,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s394, c_t1) | (~node5(s394)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31469,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s394, c_t1) | (~node5(s394))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31468, 31467])).
% 17.76/12.57 tff(31470,plain,
% 17.76/12.57 (~node5(s394)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31469, 550, 31466])).
% 17.76/12.57 tff(31471,plain,
% 17.76/12.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s393, s394)) | node14(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s393, s394)) | node14(s393, s394))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31472,plain,
% 17.76/12.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s393, s394)) | node14(s393, s394))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31473,plain,
% 17.76/12.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s393, s394)) | node14(s393, s394)),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31472, 31471])).
% 17.76/12.57 tff(31474,plain,
% 17.76/12.57 (node14(s393, s394)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31473, 46, 31450])).
% 17.76/12.57 tff(31475,plain,
% 17.76/12.57 (((~![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(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | (~node14(s393, s394)) | m_main_v_state2(s394, 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(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | (~node14(s393, s394)) | m_main_v_state2(s394, c_t2))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31476,plain,
% 17.76/12.57 ((~![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(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | (~node14(s393, s394)) | m_main_v_state2(s394, c_t2))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31477,plain,
% 17.76/12.57 ((~![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(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | (~node14(s393, s394)) | m_main_v_state2(s394, c_t2)),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31476, 31475])).
% 17.76/12.57 tff(31478,plain,
% 17.76/12.57 ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state2(s394, c_t2)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31477, 922, 31474])).
% 17.76/12.57 tff(31479,plain,
% 17.76/12.57 (m_main_v_state2(s394, c_t2)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31478, 31435, 31367])).
% 17.76/12.57 tff(31480,plain,
% 17.76/12.57 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s394, c_n2)) | (~m_main_v_state2(s394, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s394, c_n2)) | (~m_main_v_state2(s394, c_t2)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31481,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s394, c_n2)) | (~m_main_v_state2(s394, c_t2)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31482,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s394, c_n2)) | (~m_main_v_state2(s394, c_t2))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31481, 31480])).
% 17.76/12.57 tff(31483,plain,
% 17.76/12.57 (~m_main_v_state2(s394, c_n2)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31482, 77, 31479])).
% 17.76/12.57 tff(31484,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s394, c_n2) | (~node4(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s394, c_n2) | (~node4(s394)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31485,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s394, c_n2) | (~node4(s394)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31486,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s394, c_n2) | (~node4(s394))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31485, 31484])).
% 17.76/12.57 tff(31487,plain,
% 17.76/12.57 (~node4(s394)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31486, 388, 31483])).
% 17.76/12.57 tff(31488,plain,
% 17.76/12.57 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s394, c_t2)) | (~m_main_v_state2(s394, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s394, c_t2)) | (~m_main_v_state2(s394, c_c2)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31489,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s394, c_t2)) | (~m_main_v_state2(s394, c_c2)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31490,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s394, c_t2)) | (~m_main_v_state2(s394, c_c2))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31489, 31488])).
% 17.76/12.57 tff(31491,plain,
% 17.76/12.57 (~m_main_v_state2(s394, c_c2)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31490, 260, 31479])).
% 17.76/12.57 tff(31492,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s394, c_c2) | (~node3(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s394, c_c2) | (~node3(s394)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31493,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s394, c_c2) | (~node3(s394)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31494,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s394, c_c2) | (~node3(s394))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31493, 31492])).
% 17.76/12.57 tff(31495,plain,
% 17.76/12.57 (~node3(s394)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31494, 399, 31491])).
% 17.76/12.57 tff(31496,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s394, c_n2) | (~node2(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s394, c_n2) | (~node2(s394)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31497,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s394, c_n2) | (~node2(s394)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31498,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s394, c_n2) | (~node2(s394))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31497, 31496])).
% 17.76/12.57 tff(31499,plain,
% 17.76/12.57 (~node2(s394)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31498, 410, 31483])).
% 17.76/12.57 tff(31500,plain,
% 17.76/12.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s394, c_n1)) | (~m_main_v_state1(s394, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s394, c_n1)) | (~m_main_v_state1(s394, c_c1)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31501,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s394, c_n1)) | (~m_main_v_state1(s394, c_c1)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31502,plain,
% 17.76/12.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s394, c_n1)) | (~m_main_v_state1(s394, c_c1))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31501, 31500])).
% 17.76/12.57 tff(31503,plain,
% 17.76/12.57 (~m_main_v_state1(s394, c_n1)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31502, 454, 31462])).
% 17.76/12.57 tff(31504,plain,
% 17.76/12.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s394, c_n1) | (~node1(s394)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s394, c_n1) | (~node1(s394)))),
% 17.76/12.57 inference(rewrite,[status(thm)],[])).
% 17.76/12.57 tff(31505,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s394, c_n1) | (~node1(s394)))),
% 17.76/12.57 inference(quant_inst,[status(thm)],[])).
% 17.76/12.57 tff(31506,plain,
% 17.76/12.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s394, c_n1) | (~node1(s394))),
% 17.76/12.57 inference(modus_ponens,[status(thm)],[31505, 31504])).
% 17.76/12.57 tff(31507,plain,
% 17.76/12.57 (~node1(s394)),
% 17.76/12.57 inference(unit_resolution,[status(thm)],[31506, 421, 31503])).
% 17.76/12.58 tff(31508,plain,
% 17.76/12.58 (succ(s394, s395) <=> succ(s394, s395)),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31509,axiom,(succ(s394, s395)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound395')).
% 17.76/12.58 tff(31510,plain,
% 17.76/12.58 (succ(s394, s395)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31509, 31508])).
% 17.76/12.58 tff(31511,plain,
% 17.76/12.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s394, s395)) | trans(s394, s395))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s394, s395)) | trans(s394, s395))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31512,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s394, s395)) | trans(s394, s395))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31513,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s394, s395)) | trans(s394, s395)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31512, 31511])).
% 17.76/12.58 tff(31514,plain,
% 17.76/12.58 (trans(s394, s395)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31513, 31510, 32])).
% 17.76/12.58 tff(31515,plain,
% 17.76/12.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s394, s395)) | node7(s394, s395))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s394, s395)) | node7(s394, s395))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31516,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s394, s395)) | node7(s394, s395))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31517,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s394, s395)) | node7(s394, s395)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31516, 31515])).
% 17.76/12.58 tff(31518,plain,
% 17.76/12.58 (node7(s394, s395)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31517, 206, 31514])).
% 17.76/12.58 tff(31519,plain,
% 17.76/12.58 (((~![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(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31520,plain,
% 17.76/12.58 (((~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)) | m_main_v_state1(s395, c_n1)) <=> (m_main_v_state1(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31521,plain,
% 17.76/12.58 (((~![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(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)) | m_main_v_state1(s395, 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(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395))))),
% 17.76/12.58 inference(monotonicity,[status(thm)],[31520])).
% 17.76/12.58 tff(31522,plain,
% 17.76/12.58 (((~![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(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)) | m_main_v_state1(s395, 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(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)))),
% 17.76/12.58 inference(transitivity,[status(thm)],[31521, 31519])).
% 17.76/12.58 tff(31523,plain,
% 17.76/12.58 ((~![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(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)) | m_main_v_state1(s395, c_n1))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31524,plain,
% 17.76/12.58 ((~![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(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31523, 31522])).
% 17.76/12.58 tff(31525,plain,
% 17.76/12.58 (m_main_v_state1(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31524, 584, 31518])).
% 17.76/12.58 tff(31526,plain,
% 17.76/12.58 (m_main_v_state1(s395, c_n1)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31525, 31507, 31462, 31499, 31495, 31487, 31470])).
% 17.76/12.58 tff(31527,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s393, c_t2) | (~node15(s393)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s393, c_t2) | (~node15(s393)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31528,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s393, c_t2) | (~node15(s393)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31529,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s393, c_t2) | (~node15(s393))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31528, 31527])).
% 17.76/12.58 tff(31530,plain,
% 17.76/12.58 (~node15(s393)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31529, 103, 31439])).
% 17.76/12.58 tff(31531,plain,
% 17.76/12.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s393, s394)) | node18(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s393, s394)) | node18(s393, s394))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31532,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s393, s394)) | node18(s393, s394))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31533,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s393, s394)) | node18(s393, s394)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31532, 31531])).
% 17.76/12.58 tff(31534,plain,
% 17.76/12.58 (node18(s393, s394)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31533, 125, 31450])).
% 17.76/12.58 tff(31535,plain,
% 17.76/12.58 (((~![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(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31536,plain,
% 17.76/12.58 (((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node15(s393) | (~node18(s393, s394)) | m_main_v_turn(s394, c_1)) <=> (node15(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31537,plain,
% 17.76/12.58 (((~![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(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node15(s393) | (~node18(s393, s394)) | m_main_v_turn(s394, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1)))),
% 17.76/12.58 inference(monotonicity,[status(thm)],[31536])).
% 17.76/12.58 tff(31538,plain,
% 17.76/12.58 (((~![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(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node15(s393) | (~node18(s393, s394)) | m_main_v_turn(s394, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1))),
% 17.76/12.58 inference(transitivity,[status(thm)],[31537, 31535])).
% 17.76/12.58 tff(31539,plain,
% 17.76/12.58 ((~![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(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node15(s393) | (~node18(s393, s394)) | m_main_v_turn(s394, c_1))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31540,plain,
% 17.76/12.58 ((~![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(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31539, 31538])).
% 17.76/12.58 tff(31541,plain,
% 17.76/12.58 (node15(s393) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31540, 992, 31534])).
% 17.76/12.58 tff(31542,plain,
% 17.76/12.58 (m_main_v_turn(s394, c_1)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31541, 31530, 31367, 31435])).
% 17.76/12.58 tff(31543,plain,
% 17.76/12.58 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s394, c_1)) | (~m_main_v_turn(s394, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s394, c_1)) | (~m_main_v_turn(s394, c_2)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31544,plain,
% 17.76/12.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s394, c_1)) | (~m_main_v_turn(s394, c_2)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31545,plain,
% 17.76/12.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s394, c_1)) | (~m_main_v_turn(s394, c_2))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31544, 31543])).
% 17.76/12.58 tff(31546,plain,
% 17.76/12.58 (~m_main_v_turn(s394, c_2)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31545, 156, 31542])).
% 17.76/12.58 tff(31547,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s394, c_2) | (~node12(s394)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s394, c_2) | (~node12(s394)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31548,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s394, c_2) | (~node12(s394)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31549,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s394, c_2) | (~node12(s394))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31548, 31547])).
% 17.76/12.58 tff(31550,plain,
% 17.76/12.58 (~node12(s394)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31549, 184, 31546])).
% 17.76/12.58 tff(31551,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s394, c_n2) | (~node8(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s394, c_n2) | (~node8(s394)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31552,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s394, c_n2) | (~node8(s394)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31553,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s394, c_n2) | (~node8(s394))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31552, 31551])).
% 17.76/12.58 tff(31554,plain,
% 17.76/12.58 (~node8(s394)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31553, 271, 31483])).
% 17.76/12.58 tff(31555,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s394, c_n2) | (~node9(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s394, c_n2) | (~node9(s394)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31556,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s394, c_n2) | (~node9(s394)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31557,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s394, c_n2) | (~node9(s394))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31556, 31555])).
% 17.76/12.58 tff(31558,plain,
% 17.76/12.58 (~node9(s394)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31557, 88, 31483])).
% 17.76/12.58 tff(31559,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s394, c_n2) | (~node10(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s394, c_n2) | (~node10(s394)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31560,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s394, c_n2) | (~node10(s394)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31561,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s394, c_n2) | (~node10(s394))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31560, 31559])).
% 17.76/12.58 tff(31562,plain,
% 17.76/12.58 (~node10(s394)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31561, 249, 31483])).
% 17.76/12.58 tff(31563,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s394, c_n1) | (~node11(s394)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s394, c_n1) | (~node11(s394)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31564,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s394, c_n1) | (~node11(s394)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31565,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s394, c_n1) | (~node11(s394))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31564, 31563])).
% 17.76/12.58 tff(31566,plain,
% 17.76/12.58 (~node11(s394)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31565, 238, 31503])).
% 17.76/12.58 tff(31567,plain,
% 17.76/12.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s394, s395)) | node14(s394, s395))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s394, s395)) | node14(s394, s395))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31568,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s394, s395)) | node14(s394, s395))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31569,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s394, s395)) | node14(s394, s395)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31568, 31567])).
% 17.76/12.58 tff(31570,plain,
% 17.76/12.58 (node14(s394, s395)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31569, 46, 31514])).
% 17.76/12.58 tff(31571,plain,
% 17.76/12.58 (((~![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(s394, c_c2) | node9(s394) | node8(s394) | node10(s394) | node11(s394) | node12(s394) | node13(s394, s395) | (~node14(s394, s395)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s394, c_c2) | node9(s394) | node8(s394) | node10(s394) | node11(s394) | node12(s394) | node13(s394, s395) | (~node14(s394, s395)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31572,plain,
% 17.76/12.58 ((~![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(s394, c_c2) | node9(s394) | node8(s394) | node10(s394) | node11(s394) | node12(s394) | node13(s394, s395) | (~node14(s394, s395)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31573,plain,
% 17.76/12.58 ((~![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(s394, c_c2) | node9(s394) | node8(s394) | node10(s394) | node11(s394) | node12(s394) | node13(s394, s395) | (~node14(s394, s395))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31572, 31571])).
% 17.76/12.58 tff(31574,plain,
% 17.76/12.58 (m_main_v_state2(s394, c_c2) | node9(s394) | node8(s394) | node10(s394) | node11(s394) | node12(s394) | node13(s394, s395)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31573, 296, 31570])).
% 17.76/12.58 tff(31575,plain,
% 17.76/12.58 (node13(s394, s395)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31574, 31566, 31491, 31562, 31558, 31554, 31550])).
% 17.76/12.58 tff(31576,plain,
% 17.76/12.58 (((~![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(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31577,plain,
% 17.76/12.58 (((~node13(s394, s395)) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2)) <=> ((~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31578,plain,
% 17.76/12.58 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s394, s395)) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, 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(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395))))),
% 17.76/12.58 inference(monotonicity,[status(thm)],[31577])).
% 17.76/12.58 tff(31579,plain,
% 17.76/12.58 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s394, s395)) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, 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(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395)))),
% 17.76/12.58 inference(transitivity,[status(thm)],[31578, 31576])).
% 17.76/12.58 tff(31580,plain,
% 17.76/12.58 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s394, s395)) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31581,plain,
% 17.76/12.58 ((~![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(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31580, 31579])).
% 17.76/12.58 tff(31582,plain,
% 17.76/12.58 (m_main_v_state2(s395, c_t2)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31581, 518, 31479, 31575])).
% 17.76/12.58 tff(31583,plain,
% 17.76/12.58 (succ(s395, s396) <=> succ(s395, s396)),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31584,axiom,(succ(s395, s396)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound396')).
% 17.76/12.58 tff(31585,plain,
% 17.76/12.58 (succ(s395, s396)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31584, 31583])).
% 17.76/12.58 tff(31586,plain,
% 17.76/12.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s395, s396)) | trans(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s395, s396)) | trans(s395, s396))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31587,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s395, s396)) | trans(s395, s396))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31588,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s395, s396)) | trans(s395, s396)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31587, 31586])).
% 17.76/12.58 tff(31589,plain,
% 17.76/12.58 (trans(s395, s396)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31588, 31585, 32])).
% 17.76/12.58 tff(31590,plain,
% 17.76/12.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s395, s396)) | node7(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s395, s396)) | node7(s395, s396))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31591,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s395, s396)) | node7(s395, s396))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31592,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s395, s396)) | node7(s395, s396)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31591, 31590])).
% 17.76/12.58 tff(31593,plain,
% 17.76/12.58 (node7(s395, s396)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31592, 206, 31589])).
% 17.76/12.58 tff(31594,plain,
% 17.76/12.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node7(s395, s396)) | m_main_v_state1(s396, 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(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node7(s395, s396)) | m_main_v_state1(s396, c_t1))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31595,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node7(s395, s396)) | m_main_v_state1(s396, c_t1))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31596,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node7(s395, s396)) | m_main_v_state1(s396, c_t1)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31595, 31594])).
% 17.76/12.58 tff(31597,plain,
% 17.76/12.58 ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | m_main_v_state1(s396, c_t1)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31596, 651, 31593])).
% 17.76/12.58 tff(31598,plain,
% 17.76/12.58 (m_main_v_state1(s396, c_t1)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31597, 31582, 31526])).
% 17.76/12.58 tff(31599,plain,
% 17.76/12.58 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s396, c_n1)) | (~m_main_v_state1(s396, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s396, c_n1)) | (~m_main_v_state1(s396, c_t1)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31600,plain,
% 17.76/12.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s396, c_n1)) | (~m_main_v_state1(s396, c_t1)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31601,plain,
% 17.76/12.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s396, c_n1)) | (~m_main_v_state1(s396, c_t1))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31600, 31599])).
% 17.76/12.58 tff(31602,plain,
% 17.76/12.58 (~m_main_v_state1(s396, c_n1)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31601, 10, 31598])).
% 17.76/12.58 tff(31603,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s396, c_n1) | (~node1(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s396, c_n1) | (~node1(s396)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31604,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s396, c_n1) | (~node1(s396)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31605,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s396, c_n1) | (~node1(s396))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31604, 31603])).
% 17.76/12.58 tff(31606,plain,
% 17.76/12.58 (~node1(s396)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31605, 421, 31602])).
% 17.76/12.58 tff(31607,plain,
% 17.76/12.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s395, s396)) | node18(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s395, s396)) | node18(s395, s396))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31608,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s395, s396)) | node18(s395, s396))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31609,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s395, s396)) | node18(s395, s396)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31608, 31607])).
% 17.76/12.58 tff(31610,plain,
% 17.76/12.58 (node18(s395, s396)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31609, 125, 31589])).
% 17.76/12.58 tff(31611,plain,
% 17.76/12.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node18(s395, s396)) | m_main_v_turn(s396, 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(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node18(s395, s396)) | m_main_v_turn(s396, c_2))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31612,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node18(s395, s396)) | m_main_v_turn(s396, c_2))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31613,plain,
% 17.76/12.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node18(s395, s396)) | m_main_v_turn(s396, c_2)),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31612, 31611])).
% 17.76/12.58 tff(31614,plain,
% 17.76/12.58 ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | m_main_v_turn(s396, c_2)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31613, 760, 31610])).
% 17.76/12.58 tff(31615,plain,
% 17.76/12.58 (m_main_v_turn(s396, c_2)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31614, 31582, 31526])).
% 17.76/12.58 tff(31616,plain,
% 17.76/12.58 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s396, c_1)) | (~m_main_v_turn(s396, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s396, c_1)) | (~m_main_v_turn(s396, c_2)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31617,plain,
% 17.76/12.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s396, c_1)) | (~m_main_v_turn(s396, c_2)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31618,plain,
% 17.76/12.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s396, c_1)) | (~m_main_v_turn(s396, c_2))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31617, 31616])).
% 17.76/12.58 tff(31619,plain,
% 17.76/12.58 (~m_main_v_turn(s396, c_1)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31618, 156, 31615])).
% 17.76/12.58 tff(31620,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s396, c_1) | (~node5(s396)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s396, c_1) | (~node5(s396)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31621,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s396, c_1) | (~node5(s396)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31622,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s396, c_1) | (~node5(s396))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31621, 31620])).
% 17.76/12.58 tff(31623,plain,
% 17.76/12.58 (~node5(s396)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31622, 776, 31619])).
% 17.76/12.58 tff(31624,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s396, c_n1) | (~node2(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s396, c_n1) | (~node2(s396)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31625,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s396, c_n1) | (~node2(s396)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31626,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s396, c_n1) | (~node2(s396))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31625, 31624])).
% 17.76/12.58 tff(31627,plain,
% 17.76/12.58 (~node2(s396)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31626, 787, 31602])).
% 17.76/12.58 tff(31628,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s396, c_n1) | (~node3(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s396, c_n1) | (~node3(s396)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31629,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s396, c_n1) | (~node3(s396)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31630,plain,
% 17.76/12.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s396, c_n1) | (~node3(s396))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31629, 31628])).
% 17.76/12.58 tff(31631,plain,
% 17.76/12.58 (~node3(s396)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31630, 798, 31602])).
% 17.76/12.58 tff(31632,plain,
% 17.76/12.58 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s396, c_t1)) | (~m_main_v_state1(s396, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s396, c_t1)) | (~m_main_v_state1(s396, c_c1)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31633,plain,
% 17.76/12.58 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s396, c_t1)) | (~m_main_v_state1(s396, c_c1)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31634,plain,
% 17.76/12.58 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s396, c_t1)) | (~m_main_v_state1(s396, c_c1))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31633, 31632])).
% 17.76/12.58 tff(31635,plain,
% 17.76/12.58 (~m_main_v_state1(s396, c_c1)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31634, 539, 31598])).
% 17.76/12.58 tff(31636,plain,
% 17.76/12.58 (((~![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(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31637,plain,
% 17.76/12.58 (((~node13(s394, s395)) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2))) <=> (m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395)))),
% 17.76/12.58 inference(rewrite,[status(thm)],[])).
% 17.76/12.58 tff(31638,plain,
% 17.76/12.58 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s394, s395)) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, 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(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395))))),
% 17.76/12.58 inference(monotonicity,[status(thm)],[31637])).
% 17.76/12.58 tff(31639,plain,
% 17.76/12.58 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s394, s395)) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, 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(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395)))),
% 17.76/12.58 inference(transitivity,[status(thm)],[31638, 31636])).
% 17.76/12.58 tff(31640,plain,
% 17.76/12.58 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s394, s395)) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)))),
% 17.76/12.58 inference(quant_inst,[status(thm)],[])).
% 17.76/12.58 tff(31641,plain,
% 17.76/12.58 ((~![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(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395))),
% 17.76/12.58 inference(modus_ponens,[status(thm)],[31640, 31639])).
% 17.76/12.58 tff(31642,plain,
% 17.76/12.58 (~m_main_v_state2(s395, c_n2)),
% 17.76/12.58 inference(unit_resolution,[status(thm)],[31641, 311, 31483, 31575])).
% 17.76/12.58 tff(31643,plain,
% 17.76/12.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s395, c_n2) | (~node9(s395)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s395, c_n2) | (~node9(s395)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31644,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s395, c_n2) | (~node9(s395)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31645,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s395, c_n2) | (~node9(s395))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31644, 31643])).
% 17.76/12.59 tff(31646,plain,
% 17.76/12.59 (~node9(s395)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31645, 88, 31642])).
% 17.76/12.59 tff(31647,plain,
% 17.76/12.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s395, c_n2) | (~node10(s395)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s395, c_n2) | (~node10(s395)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31648,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s395, c_n2) | (~node10(s395)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31649,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s395, c_n2) | (~node10(s395))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31648, 31647])).
% 17.76/12.59 tff(31650,plain,
% 17.76/12.59 (~node10(s395)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31649, 249, 31642])).
% 17.76/12.59 tff(31651,plain,
% 17.76/12.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s395, c_n2) | (~node8(s395)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s395, c_n2) | (~node8(s395)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31652,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s395, c_n2) | (~node8(s395)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31653,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s395, c_n2) | (~node8(s395))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31652, 31651])).
% 17.76/12.59 tff(31654,plain,
% 17.76/12.59 (~node8(s395)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31653, 271, 31642])).
% 17.76/12.59 tff(31655,plain,
% 17.76/12.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s395, s396)) | node14(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s395, s396)) | node14(s395, s396))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31656,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s395, s396)) | node14(s395, s396))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31657,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s395, s396)) | node14(s395, s396)),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31656, 31655])).
% 17.76/12.59 tff(31658,plain,
% 17.76/12.59 (node14(s395, s396)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31657, 46, 31589])).
% 17.76/12.59 tff(31659,plain,
% 17.76/12.59 (((~![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(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | node9(s395) | node8(s395) | node10(s395) | (~node14(s395, s396)) | m_main_v_state2(s396, 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(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | node9(s395) | node8(s395) | node10(s395) | (~node14(s395, s396)) | m_main_v_state2(s396, c_c2))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31660,plain,
% 17.76/12.59 ((~![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(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | node9(s395) | node8(s395) | node10(s395) | (~node14(s395, s396)) | m_main_v_state2(s396, c_c2))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31661,plain,
% 17.76/12.59 ((~![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(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | node9(s395) | node8(s395) | node10(s395) | (~node14(s395, s396)) | m_main_v_state2(s396, c_c2)),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31660, 31659])).
% 17.76/12.59 tff(31662,plain,
% 17.76/12.59 ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | node9(s395) | node8(s395) | node10(s395) | m_main_v_state2(s396, c_c2)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31661, 617, 31658])).
% 17.76/12.59 tff(31663,plain,
% 17.76/12.59 (m_main_v_state2(s396, c_c2)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31662, 31654, 31526, 31582, 31650, 31646])).
% 17.76/12.59 tff(31664,plain,
% 17.76/12.59 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s396, c_n2)) | (~m_main_v_state2(s396, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s396, c_n2)) | (~m_main_v_state2(s396, c_c2)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31665,plain,
% 17.76/12.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s396, c_n2)) | (~m_main_v_state2(s396, c_c2)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31666,plain,
% 17.76/12.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s396, c_n2)) | (~m_main_v_state2(s396, c_c2))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31665, 31664])).
% 17.76/12.59 tff(31667,plain,
% 17.76/12.59 (~m_main_v_state2(s396, c_n2)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31666, 697, 31663])).
% 17.76/12.59 tff(31668,plain,
% 17.76/12.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s396, c_n2) | (~node4(s396)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s396, c_n2) | (~node4(s396)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31669,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s396, c_n2) | (~node4(s396)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31670,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s396, c_n2) | (~node4(s396))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31669, 31668])).
% 17.76/12.59 tff(31671,plain,
% 17.76/12.59 (~node4(s396)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31670, 388, 31667])).
% 17.76/12.59 tff(31672,plain,
% 17.76/12.59 (succ(s396, s397) <=> succ(s396, s397)),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31673,axiom,(succ(s396, s397)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound397')).
% 17.76/12.59 tff(31674,plain,
% 17.76/12.59 (succ(s396, s397)),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31673, 31672])).
% 17.76/12.59 tff(31675,plain,
% 17.76/12.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s396, s397)) | trans(s396, s397))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s396, s397)) | trans(s396, s397))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31676,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s396, s397)) | trans(s396, s397))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31677,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s396, s397)) | trans(s396, s397)),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31676, 31675])).
% 17.76/12.59 tff(31678,plain,
% 17.76/12.59 (trans(s396, s397)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31677, 31674, 32])).
% 17.76/12.59 tff(31679,plain,
% 17.76/12.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s396, s397)) | node7(s396, s397))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s396, s397)) | node7(s396, s397))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31680,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s396, s397)) | node7(s396, s397))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31681,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s396, s397)) | node7(s396, s397)),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31680, 31679])).
% 17.76/12.59 tff(31682,plain,
% 17.76/12.59 (node7(s396, s397)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31681, 206, 31678])).
% 17.76/12.59 tff(31683,plain,
% 17.76/12.59 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s396, c_c1) | node1(s396) | node2(s396) | node3(s396) | node4(s396) | node5(s396) | node6(s396, s397) | (~node7(s396, s397)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s396, c_c1) | node1(s396) | node2(s396) | node3(s396) | node4(s396) | node5(s396) | node6(s396, s397) | (~node7(s396, s397)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31684,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s396, c_c1) | node1(s396) | node2(s396) | node3(s396) | node4(s396) | node5(s396) | node6(s396, s397) | (~node7(s396, s397)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31685,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s396, c_c1) | node1(s396) | node2(s396) | node3(s396) | node4(s396) | node5(s396) | node6(s396, s397) | (~node7(s396, s397))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31684, 31683])).
% 17.76/12.59 tff(31686,plain,
% 17.76/12.59 (m_main_v_state1(s396, c_c1) | node1(s396) | node2(s396) | node3(s396) | node4(s396) | node5(s396) | node6(s396, s397)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31685, 820, 31682])).
% 17.76/12.59 tff(31687,plain,
% 17.76/12.59 (node6(s396, s397)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31686, 31671, 31635, 31631, 31627, 31623, 31606])).
% 17.76/12.59 tff(31688,plain,
% 17.76/12.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31689,plain,
% 17.76/12.59 (((~node6(s396, s397)) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1)) <=> ((~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31690,plain,
% 17.76/12.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s396, s397)) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, 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(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397))))),
% 17.76/12.59 inference(monotonicity,[status(thm)],[31689])).
% 17.76/12.59 tff(31691,plain,
% 17.76/12.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s396, s397)) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, 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(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397)))),
% 17.76/12.59 inference(transitivity,[status(thm)],[31690, 31688])).
% 17.76/12.59 tff(31692,plain,
% 17.76/12.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s396, s397)) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31693,plain,
% 17.76/12.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31692, 31691])).
% 17.76/12.59 tff(31694,plain,
% 17.76/12.59 (m_main_v_state1(s397, c_t1)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31693, 856, 31598, 31687])).
% 17.76/12.59 tff(31695,plain,
% 17.76/12.59 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s396, c_t2)) | (~m_main_v_state2(s396, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s396, c_t2)) | (~m_main_v_state2(s396, c_c2)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31696,plain,
% 17.76/12.59 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s396, c_t2)) | (~m_main_v_state2(s396, c_c2)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31697,plain,
% 17.76/12.59 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s396, c_t2)) | (~m_main_v_state2(s396, c_c2))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31696, 31695])).
% 17.76/12.59 tff(31698,plain,
% 17.76/12.59 (~m_main_v_state2(s396, c_t2)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31697, 260, 31663])).
% 17.76/12.59 tff(31699,plain,
% 17.76/12.59 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s396, c_t2) | (~node12(s396)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s396, c_t2) | (~node12(s396)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31700,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s396, c_t2) | (~node12(s396)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31701,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s396, c_t2) | (~node12(s396))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31700, 31699])).
% 17.76/12.59 tff(31702,plain,
% 17.76/12.59 (~node12(s396)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31701, 633, 31698])).
% 17.76/12.59 tff(31703,plain,
% 17.76/12.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s396, c_n1) | (~node11(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s396, c_n1) | (~node11(s396)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31704,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s396, c_n1) | (~node11(s396)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31705,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s396, c_n1) | (~node11(s396))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31704, 31703])).
% 17.76/12.59 tff(31706,plain,
% 17.76/12.59 (~node11(s396)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31705, 238, 31602])).
% 17.76/12.59 tff(31707,plain,
% 17.76/12.59 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s396, c_c1) | (~node10(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s396, c_c1) | (~node10(s396)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31708,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s396, c_c1) | (~node10(s396)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31709,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s396, c_c1) | (~node10(s396))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31708, 31707])).
% 17.76/12.59 tff(31710,plain,
% 17.76/12.59 (~node10(s396)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31709, 675, 31635])).
% 17.76/12.59 tff(31711,plain,
% 17.76/12.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s396, c_n1) | (~node9(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s396, c_n1) | (~node9(s396)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31712,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s396, c_n1) | (~node9(s396)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31713,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s396, c_n1) | (~node9(s396))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31712, 31711])).
% 17.76/12.59 tff(31714,plain,
% 17.76/12.59 (~node9(s396)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31713, 686, 31602])).
% 17.76/12.59 tff(31715,plain,
% 17.76/12.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s396, c_n2) | (~node8(s396)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s396, c_n2) | (~node8(s396)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31716,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s396, c_n2) | (~node8(s396)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31717,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s396, c_n2) | (~node8(s396))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31716, 31715])).
% 17.76/12.59 tff(31718,plain,
% 17.76/12.59 (~node8(s396)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31717, 271, 31667])).
% 17.76/12.59 tff(31719,plain,
% 17.76/12.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s396, s397)) | node14(s396, s397))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s396, s397)) | node14(s396, s397))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31720,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s396, s397)) | node14(s396, s397))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31721,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s396, s397)) | node14(s396, s397)),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31720, 31719])).
% 17.76/12.59 tff(31722,plain,
% 17.76/12.59 (node14(s396, s397)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31721, 46, 31678])).
% 17.76/12.59 tff(31723,plain,
% 17.76/12.59 (((~![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(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, 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(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31724,plain,
% 17.76/12.59 (((~m_main_v_state2(s396, c_c2)) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | m_main_v_state2(s397, c_n2)) <=> (m_main_v_state2(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31725,plain,
% 17.76/12.59 (((~![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(s396, c_c2)) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | m_main_v_state2(s397, 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(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2))))),
% 17.76/12.59 inference(monotonicity,[status(thm)],[31724])).
% 17.76/12.59 tff(31726,plain,
% 17.76/12.59 (((~![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(s396, c_c2)) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | m_main_v_state2(s397, 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(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2)))),
% 17.76/12.59 inference(transitivity,[status(thm)],[31725, 31723])).
% 17.76/12.59 tff(31727,plain,
% 17.76/12.59 ((~![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(s396, c_c2)) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | m_main_v_state2(s397, c_n2))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31728,plain,
% 17.76/12.59 ((~![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(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31727, 31726])).
% 17.76/12.59 tff(31729,plain,
% 17.76/12.59 (m_main_v_state2(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~m_main_v_state2(s396, c_c2))),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31728, 726, 31722])).
% 17.76/12.59 tff(31730,plain,
% 17.76/12.59 (m_main_v_state2(s397, c_n2)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31729, 31718, 31663, 31714, 31710, 31706, 31702])).
% 17.76/12.59 tff(31731,plain,
% 17.76/12.59 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_t2)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31732,plain,
% 17.76/12.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_t2)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31733,plain,
% 17.76/12.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_t2))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31732, 31731])).
% 17.76/12.59 tff(31734,plain,
% 17.76/12.59 (~m_main_v_state2(s397, c_t2)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31733, 77, 31730])).
% 17.76/12.59 tff(31735,plain,
% 17.76/12.59 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s397, c_t2) | (~node15(s397)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s397, c_t2) | (~node15(s397)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31736,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s397, c_t2) | (~node15(s397)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31737,plain,
% 17.76/12.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s397, c_t2) | (~node15(s397))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31736, 31735])).
% 17.76/12.59 tff(31738,plain,
% 17.76/12.59 (~node15(s397)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31737, 103, 31734])).
% 17.76/12.59 tff(31739,plain,
% 17.76/12.59 (succ(s397, s398) <=> succ(s397, s398)),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31740,axiom,(succ(s397, s398)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound398')).
% 17.76/12.59 tff(31741,plain,
% 17.76/12.59 (succ(s397, s398)),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31740, 31739])).
% 17.76/12.59 tff(31742,plain,
% 17.76/12.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s397, s398)) | trans(s397, s398))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s397, s398)) | trans(s397, s398))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31743,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s397, s398)) | trans(s397, s398))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31744,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s397, s398)) | trans(s397, s398)),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31743, 31742])).
% 17.76/12.59 tff(31745,plain,
% 17.76/12.59 (trans(s397, s398)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31744, 31741, 32])).
% 17.76/12.59 tff(31746,plain,
% 17.76/12.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s397, s398)) | node18(s397, s398))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s397, s398)) | node18(s397, s398))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31747,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s397, s398)) | node18(s397, s398))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31748,plain,
% 17.76/12.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s397, s398)) | node18(s397, s398)),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31747, 31746])).
% 17.76/12.59 tff(31749,plain,
% 17.76/12.59 (node18(s397, s398)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31748, 125, 31745])).
% 17.76/12.59 tff(31750,plain,
% 17.76/12.59 (((~![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(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31751,plain,
% 17.76/12.59 (((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node15(s397) | (~node18(s397, s398)) | m_main_v_turn(s398, c_1)) <=> (node15(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31752,plain,
% 17.76/12.59 (((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node15(s397) | (~node18(s397, s398)) | m_main_v_turn(s398, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1)))),
% 17.76/12.59 inference(monotonicity,[status(thm)],[31751])).
% 17.76/12.59 tff(31753,plain,
% 17.76/12.59 (((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node15(s397) | (~node18(s397, s398)) | m_main_v_turn(s398, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1))),
% 17.76/12.59 inference(transitivity,[status(thm)],[31752, 31750])).
% 17.76/12.59 tff(31754,plain,
% 17.76/12.59 ((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node15(s397) | (~node18(s397, s398)) | m_main_v_turn(s398, c_1))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31755,plain,
% 17.76/12.59 ((~![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(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1)),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31754, 31753])).
% 17.76/12.59 tff(31756,plain,
% 17.76/12.59 (node15(s397) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31755, 992, 31749])).
% 17.76/12.59 tff(31757,plain,
% 17.76/12.59 (m_main_v_turn(s398, c_1)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31756, 31738, 31730, 31694])).
% 17.76/12.59 tff(31758,plain,
% 17.76/12.59 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s398, c_1)) | (~m_main_v_turn(s398, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s398, c_1)) | (~m_main_v_turn(s398, c_2)))),
% 17.76/12.59 inference(rewrite,[status(thm)],[])).
% 17.76/12.59 tff(31759,plain,
% 17.76/12.59 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s398, c_1)) | (~m_main_v_turn(s398, c_2)))),
% 17.76/12.59 inference(quant_inst,[status(thm)],[])).
% 17.76/12.59 tff(31760,plain,
% 17.76/12.59 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s398, c_1)) | (~m_main_v_turn(s398, c_2))),
% 17.76/12.59 inference(modus_ponens,[status(thm)],[31759, 31758])).
% 17.76/12.59 tff(31761,plain,
% 17.76/12.59 (~m_main_v_turn(s398, c_2)),
% 17.76/12.59 inference(unit_resolution,[status(thm)],[31760, 156, 31757])).
% 17.76/12.59 tff(31762,plain,
% 17.76/12.59 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s398, c_2) | (~node12(s398)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s398, c_2) | (~node12(s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31763,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s398, c_2) | (~node12(s398)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31764,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s398, c_2) | (~node12(s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 17.76/12.60 tff(31765,plain,
% 17.76/12.60 (~node12(s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31764, 184, 31761])).
% 17.76/12.60 tff(31766,plain,
% 17.76/12.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s397, s398)) | node14(s397, s398))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s397, s398)) | node14(s397, s398))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31767,plain,
% 17.76/12.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s397, s398)) | node14(s397, s398))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31768,plain,
% 17.76/12.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s397, s398)) | node14(s397, s398)),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31767, 31766])).
% 17.76/12.60 tff(31769,plain,
% 17.76/12.60 (node14(s397, s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31768, 46, 31745])).
% 17.76/12.60 tff(31770,plain,
% 17.76/12.60 (((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | (~node14(s397, s398)) | m_main_v_state2(s398, 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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | (~node14(s397, s398)) | m_main_v_state2(s398, c_t2))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31771,plain,
% 17.76/12.60 ((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | (~node14(s397, s398)) | m_main_v_state2(s398, c_t2))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31772,plain,
% 17.76/12.60 ((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | (~node14(s397, s398)) | m_main_v_state2(s398, c_t2)),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31771, 31770])).
% 17.76/12.60 tff(31773,plain,
% 17.76/12.60 ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state2(s398, c_t2)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31772, 922, 31769])).
% 17.76/12.60 tff(31774,plain,
% 17.76/12.60 (m_main_v_state2(s398, c_t2)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31773, 31694, 31730])).
% 17.76/12.60 tff(31775,plain,
% 17.76/12.60 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s398, c_n2)) | (~m_main_v_state2(s398, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s398, c_n2)) | (~m_main_v_state2(s398, c_t2)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31776,plain,
% 17.76/12.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s398, c_n2)) | (~m_main_v_state2(s398, c_t2)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31777,plain,
% 17.76/12.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s398, c_n2)) | (~m_main_v_state2(s398, c_t2))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31776, 31775])).
% 17.76/12.60 tff(31778,plain,
% 17.76/12.60 (~m_main_v_state2(s398, c_n2)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31777, 77, 31774])).
% 17.76/12.60 tff(31779,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s398, c_n2) | (~node8(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s398, c_n2) | (~node8(s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31780,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s398, c_n2) | (~node8(s398)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31781,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s398, c_n2) | (~node8(s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31780, 31779])).
% 17.76/12.60 tff(31782,plain,
% 17.76/12.60 (~node8(s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31781, 271, 31778])).
% 17.76/12.60 tff(31783,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s398, c_n2) | (~node9(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s398, c_n2) | (~node9(s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31784,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s398, c_n2) | (~node9(s398)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31785,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s398, c_n2) | (~node9(s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31784, 31783])).
% 17.76/12.60 tff(31786,plain,
% 17.76/12.60 (~node9(s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31785, 88, 31778])).
% 17.76/12.60 tff(31787,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s398, c_n2) | (~node10(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s398, c_n2) | (~node10(s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31788,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s398, c_n2) | (~node10(s398)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31789,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s398, c_n2) | (~node10(s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31788, 31787])).
% 17.76/12.60 tff(31790,plain,
% 17.76/12.60 (~node10(s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31789, 249, 31778])).
% 17.76/12.60 tff(31791,plain,
% 17.76/12.60 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s398, c_t2)) | (~m_main_v_state2(s398, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s398, c_t2)) | (~m_main_v_state2(s398, c_c2)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31792,plain,
% 17.76/12.60 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s398, c_t2)) | (~m_main_v_state2(s398, c_c2)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31793,plain,
% 17.76/12.60 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s398, c_t2)) | (~m_main_v_state2(s398, c_c2))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31792, 31791])).
% 17.76/12.60 tff(31794,plain,
% 17.76/12.60 (~m_main_v_state2(s398, c_c2)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31793, 260, 31774])).
% 17.76/12.60 tff(31795,plain,
% 17.76/12.60 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_c2)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31796,plain,
% 17.76/12.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_c2)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31797,plain,
% 17.76/12.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_c2))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31796, 31795])).
% 17.76/12.60 tff(31798,plain,
% 17.76/12.60 (~m_main_v_state2(s397, c_c2)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31797, 697, 31730])).
% 17.76/12.60 tff(31799,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s397, c_c2) | (~node3(s397)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s397, c_c2) | (~node3(s397)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31800,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s397, c_c2) | (~node3(s397)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31801,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s397, c_c2) | (~node3(s397))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31800, 31799])).
% 17.76/12.60 tff(31802,plain,
% 17.76/12.60 (~node3(s397)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31801, 399, 31798])).
% 17.76/12.60 tff(31803,plain,
% 17.76/12.60 (((~![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(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31804,plain,
% 17.76/12.60 (((~node6(s396, s397)) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1))) <=> (m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31805,plain,
% 17.76/12.60 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s396, s397)) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, 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(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397))))),
% 17.76/12.60 inference(monotonicity,[status(thm)],[31804])).
% 17.76/12.60 tff(31806,plain,
% 17.76/12.60 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s396, s397)) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, 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(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397)))),
% 17.76/12.60 inference(transitivity,[status(thm)],[31805, 31803])).
% 17.76/12.60 tff(31807,plain,
% 17.76/12.60 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s396, s397)) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31808,plain,
% 17.76/12.60 ((~![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(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31807, 31806])).
% 17.76/12.60 tff(31809,plain,
% 17.76/12.60 (~m_main_v_state1(s397, c_n1)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31808, 835, 31602, 31687])).
% 17.76/12.60 tff(31810,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s397, c_n1) | (~node2(s397)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s397, c_n1) | (~node2(s397)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31811,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s397, c_n1) | (~node2(s397)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31812,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s397, c_n1) | (~node2(s397))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31811, 31810])).
% 17.76/12.60 tff(31813,plain,
% 17.76/12.60 (~node2(s397)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31812, 787, 31809])).
% 17.76/12.60 tff(31814,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s397, c_t2) | (~node1(s397)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s397, c_t2) | (~node1(s397)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31815,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s397, c_t2) | (~node1(s397)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31816,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s397, c_t2) | (~node1(s397))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31815, 31814])).
% 17.76/12.60 tff(31817,plain,
% 17.76/12.60 (~node1(s397)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31816, 195, 31734])).
% 17.76/12.60 tff(31818,plain,
% 17.76/12.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s397, s398)) | node7(s397, s398))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s397, s398)) | node7(s397, s398))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31819,plain,
% 17.76/12.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s397, s398)) | node7(s397, s398))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31820,plain,
% 17.76/12.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s397, s398)) | node7(s397, s398)),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31819, 31818])).
% 17.76/12.60 tff(31821,plain,
% 17.76/12.60 (node7(s397, s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31820, 206, 31745])).
% 17.76/12.60 tff(31822,plain,
% 17.76/12.60 (((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31823,plain,
% 17.76/12.60 (((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)) | m_main_v_state1(s398, c_c1)) <=> ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31824,plain,
% 17.76/12.60 (((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)) | m_main_v_state1(s398, 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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398))))),
% 17.76/12.60 inference(monotonicity,[status(thm)],[31823])).
% 17.76/12.60 tff(31825,plain,
% 17.76/12.60 (((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)) | m_main_v_state1(s398, 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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)))),
% 17.76/12.60 inference(transitivity,[status(thm)],[31824, 31822])).
% 17.76/12.60 tff(31826,plain,
% 17.76/12.60 ((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)) | m_main_v_state1(s398, c_c1))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31827,plain,
% 17.76/12.60 ((~![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(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31826, 31825])).
% 17.76/12.60 tff(31828,plain,
% 17.76/12.60 ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31827, 892, 31821])).
% 17.76/12.60 tff(31829,plain,
% 17.76/12.60 (m_main_v_state1(s398, c_c1)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31828, 31817, 31730, 31694, 31813, 31802])).
% 17.76/12.60 tff(31830,plain,
% 17.76/12.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s398, c_n1)) | (~m_main_v_state1(s398, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s398, c_n1)) | (~m_main_v_state1(s398, c_c1)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31831,plain,
% 17.76/12.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s398, c_n1)) | (~m_main_v_state1(s398, c_c1)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31832,plain,
% 17.76/12.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s398, c_n1)) | (~m_main_v_state1(s398, c_c1))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31831, 31830])).
% 17.76/12.60 tff(31833,plain,
% 17.76/12.60 (~m_main_v_state1(s398, c_n1)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31832, 454, 31829])).
% 17.76/12.60 tff(31834,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s398, c_n1) | (~node11(s398)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s398, c_n1) | (~node11(s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31835,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s398, c_n1) | (~node11(s398)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31836,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s398, c_n1) | (~node11(s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31835, 31834])).
% 17.76/12.60 tff(31837,plain,
% 17.76/12.60 (~node11(s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31836, 238, 31833])).
% 17.76/12.60 tff(31838,plain,
% 17.76/12.60 (succ(s398, s399) <=> succ(s398, s399)),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31839,axiom,(succ(s398, s399)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound399')).
% 17.76/12.60 tff(31840,plain,
% 17.76/12.60 (succ(s398, s399)),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31839, 31838])).
% 17.76/12.60 tff(31841,plain,
% 17.76/12.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s398, s399)) | trans(s398, s399))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s398, s399)) | trans(s398, s399))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31842,plain,
% 17.76/12.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s398, s399)) | trans(s398, s399))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31843,plain,
% 17.76/12.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s398, s399)) | trans(s398, s399)),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31842, 31841])).
% 17.76/12.60 tff(31844,plain,
% 17.76/12.60 (trans(s398, s399)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31843, 31840, 32])).
% 17.76/12.60 tff(31845,plain,
% 17.76/12.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s398, s399)) | node14(s398, s399))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s398, s399)) | node14(s398, s399))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31846,plain,
% 17.76/12.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s398, s399)) | node14(s398, s399))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31847,plain,
% 17.76/12.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s398, s399)) | node14(s398, s399)),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31846, 31845])).
% 17.76/12.60 tff(31848,plain,
% 17.76/12.60 (node14(s398, s399)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31847, 46, 31844])).
% 17.76/12.60 tff(31849,plain,
% 17.76/12.60 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s398, c_c2) | node9(s398) | node8(s398) | node10(s398) | node11(s398) | node12(s398) | node13(s398, s399) | (~node14(s398, s399)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s398, c_c2) | node9(s398) | node8(s398) | node10(s398) | node11(s398) | node12(s398) | node13(s398, s399) | (~node14(s398, s399)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31850,plain,
% 17.76/12.60 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s398, c_c2) | node9(s398) | node8(s398) | node10(s398) | node11(s398) | node12(s398) | node13(s398, s399) | (~node14(s398, s399)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31851,plain,
% 17.76/12.60 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s398, c_c2) | node9(s398) | node8(s398) | node10(s398) | node11(s398) | node12(s398) | node13(s398, s399) | (~node14(s398, s399))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31850, 31849])).
% 17.76/12.60 tff(31852,plain,
% 17.76/12.60 (m_main_v_state2(s398, c_c2) | node9(s398) | node8(s398) | node10(s398) | node11(s398) | node12(s398) | node13(s398, s399)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31851, 296, 31848])).
% 17.76/12.60 tff(31853,plain,
% 17.76/12.60 (node13(s398, s399)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31852, 31837, 31794, 31790, 31786, 31782, 31765])).
% 17.76/12.60 tff(31854,plain,
% 17.76/12.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31855,plain,
% 17.76/12.60 (((~node13(s398, s399)) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2))) <=> (m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31856,plain,
% 17.76/12.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s398, s399)) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, 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(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399))))),
% 17.76/12.60 inference(monotonicity,[status(thm)],[31855])).
% 17.76/12.60 tff(31857,plain,
% 17.76/12.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s398, s399)) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, 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(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399)))),
% 17.76/12.60 inference(transitivity,[status(thm)],[31856, 31854])).
% 17.76/12.60 tff(31858,plain,
% 17.76/12.60 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s398, s399)) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31859,plain,
% 17.76/12.60 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31858, 31857])).
% 17.76/12.60 tff(31860,plain,
% 17.76/12.60 (~m_main_v_state2(s399, c_n2)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31859, 311, 31778, 31853])).
% 17.76/12.60 tff(31861,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s399, c_n2) | (~node9(s399)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s399, c_n2) | (~node9(s399)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31862,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s399, c_n2) | (~node9(s399)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31863,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s399, c_n2) | (~node9(s399))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31862, 31861])).
% 17.76/12.60 tff(31864,plain,
% 17.76/12.60 (~node9(s399)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31863, 88, 31860])).
% 17.76/12.60 tff(31865,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s399, c_n2) | (~node10(s399)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s399, c_n2) | (~node10(s399)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31866,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s399, c_n2) | (~node10(s399)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31867,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s399, c_n2) | (~node10(s399))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31866, 31865])).
% 17.76/12.60 tff(31868,plain,
% 17.76/12.60 (~node10(s399)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31867, 249, 31860])).
% 17.76/12.60 tff(31869,plain,
% 17.76/12.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31870,plain,
% 17.76/12.60 (((~node13(s398, s399)) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2)) <=> ((~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31871,plain,
% 17.76/12.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s398, s399)) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, 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(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399))))),
% 17.76/12.60 inference(monotonicity,[status(thm)],[31870])).
% 17.76/12.60 tff(31872,plain,
% 17.76/12.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s398, s399)) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, 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(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399)))),
% 17.76/12.60 inference(transitivity,[status(thm)],[31871, 31869])).
% 17.76/12.60 tff(31873,plain,
% 17.76/12.60 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s398, s399)) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31874,plain,
% 17.76/12.60 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31873, 31872])).
% 17.76/12.60 tff(31875,plain,
% 17.76/12.60 (m_main_v_state2(s399, c_t2)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31874, 518, 31774, 31853])).
% 17.76/12.60 tff(31876,plain,
% 17.76/12.60 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s398, c_t1)) | (~m_main_v_state1(s398, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s398, c_t1)) | (~m_main_v_state1(s398, c_c1)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31877,plain,
% 17.76/12.60 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s398, c_t1)) | (~m_main_v_state1(s398, c_c1)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31878,plain,
% 17.76/12.60 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s398, c_t1)) | (~m_main_v_state1(s398, c_c1))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31877, 31876])).
% 17.76/12.60 tff(31879,plain,
% 17.76/12.60 (~m_main_v_state1(s398, c_t1)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31878, 539, 31829])).
% 17.76/12.60 tff(31880,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s398, c_t1) | (~node5(s398)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s398, c_t1) | (~node5(s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31881,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s398, c_t1) | (~node5(s398)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31882,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s398, c_t1) | (~node5(s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31881, 31880])).
% 17.76/12.60 tff(31883,plain,
% 17.76/12.60 (~node5(s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31882, 550, 31879])).
% 17.76/12.60 tff(31884,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s398, c_n2) | (~node4(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s398, c_n2) | (~node4(s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31885,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s398, c_n2) | (~node4(s398)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31886,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s398, c_n2) | (~node4(s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31885, 31884])).
% 17.76/12.60 tff(31887,plain,
% 17.76/12.60 (~node4(s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31886, 388, 31778])).
% 17.76/12.60 tff(31888,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s398, c_c2) | (~node3(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s398, c_c2) | (~node3(s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31889,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s398, c_c2) | (~node3(s398)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31890,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s398, c_c2) | (~node3(s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31889, 31888])).
% 17.76/12.60 tff(31891,plain,
% 17.76/12.60 (~node3(s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31890, 399, 31794])).
% 17.76/12.60 tff(31892,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s398, c_n2) | (~node2(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s398, c_n2) | (~node2(s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31893,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s398, c_n2) | (~node2(s398)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31894,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s398, c_n2) | (~node2(s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31893, 31892])).
% 17.76/12.60 tff(31895,plain,
% 17.76/12.60 (~node2(s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31894, 410, 31778])).
% 17.76/12.60 tff(31896,plain,
% 17.76/12.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s398, c_n1) | (~node1(s398)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s398, c_n1) | (~node1(s398)))),
% 17.76/12.60 inference(rewrite,[status(thm)],[])).
% 17.76/12.60 tff(31897,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s398, c_n1) | (~node1(s398)))),
% 17.76/12.60 inference(quant_inst,[status(thm)],[])).
% 17.76/12.60 tff(31898,plain,
% 17.76/12.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s398, c_n1) | (~node1(s398))),
% 17.76/12.60 inference(modus_ponens,[status(thm)],[31897, 31896])).
% 17.76/12.60 tff(31899,plain,
% 17.76/12.60 (~node1(s398)),
% 17.76/12.60 inference(unit_resolution,[status(thm)],[31898, 421, 31833])).
% 17.76/12.60 tff(31900,plain,
% 17.76/12.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s398, s399)) | node7(s398, s399))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s398, s399)) | node7(s398, s399))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31901,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s398, s399)) | node7(s398, s399))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31902,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s398, s399)) | node7(s398, s399)),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31901, 31900])).
% 17.76/12.61 tff(31903,plain,
% 17.76/12.61 (node7(s398, s399)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31902, 206, 31844])).
% 17.76/12.61 tff(31904,plain,
% 17.76/12.61 (((~![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(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31905,plain,
% 17.76/12.61 (((~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)) | m_main_v_state1(s399, c_n1)) <=> (m_main_v_state1(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31906,plain,
% 17.76/12.61 (((~![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(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)) | m_main_v_state1(s399, 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(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399))))),
% 17.76/12.61 inference(monotonicity,[status(thm)],[31905])).
% 17.76/12.61 tff(31907,plain,
% 17.76/12.61 (((~![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(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)) | m_main_v_state1(s399, 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(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)))),
% 17.76/12.61 inference(transitivity,[status(thm)],[31906, 31904])).
% 17.76/12.61 tff(31908,plain,
% 17.76/12.61 ((~![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(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)) | m_main_v_state1(s399, c_n1))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31909,plain,
% 17.76/12.61 ((~![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(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31908, 31907])).
% 17.76/12.61 tff(31910,plain,
% 17.76/12.61 (m_main_v_state1(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31909, 584, 31903])).
% 17.76/12.61 tff(31911,plain,
% 17.76/12.61 (m_main_v_state1(s399, c_n1)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31910, 31899, 31829, 31895, 31891, 31887, 31883])).
% 17.76/12.61 tff(31912,plain,
% 17.76/12.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s399, c_n2) | (~node8(s399)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s399, c_n2) | (~node8(s399)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31913,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s399, c_n2) | (~node8(s399)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31914,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s399, c_n2) | (~node8(s399))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31913, 31912])).
% 17.76/12.61 tff(31915,plain,
% 17.76/12.61 (~node8(s399)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31914, 271, 31860])).
% 17.76/12.61 tff(31916,plain,
% 17.76/12.61 (succ(s399, s400) <=> succ(s399, s400)),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31917,axiom,(succ(s399, s400)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound400')).
% 17.76/12.61 tff(31918,plain,
% 17.76/12.61 (succ(s399, s400)),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31917, 31916])).
% 17.76/12.61 tff(31919,plain,
% 17.76/12.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s399, s400)) | trans(s399, s400))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s399, s400)) | trans(s399, s400))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31920,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s399, s400)) | trans(s399, s400))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31921,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s399, s400)) | trans(s399, s400)),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31920, 31919])).
% 17.76/12.61 tff(31922,plain,
% 17.76/12.61 (trans(s399, s400)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31921, 31918, 32])).
% 17.76/12.61 tff(31923,plain,
% 17.76/12.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s399, s400)) | node14(s399, s400))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s399, s400)) | node14(s399, s400))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31924,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s399, s400)) | node14(s399, s400))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31925,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s399, s400)) | node14(s399, s400)),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31924, 31923])).
% 17.76/12.61 tff(31926,plain,
% 17.76/12.61 (node14(s399, s400)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31925, 46, 31922])).
% 17.76/12.61 tff(31927,plain,
% 17.76/12.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | node9(s399) | node8(s399) | node10(s399) | (~node14(s399, s400)) | m_main_v_state2(s400, 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(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | node9(s399) | node8(s399) | node10(s399) | (~node14(s399, s400)) | m_main_v_state2(s400, c_c2))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31928,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | node9(s399) | node8(s399) | node10(s399) | (~node14(s399, s400)) | m_main_v_state2(s400, c_c2))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31929,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | node9(s399) | node8(s399) | node10(s399) | (~node14(s399, s400)) | m_main_v_state2(s400, c_c2)),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31928, 31927])).
% 17.76/12.61 tff(31930,plain,
% 17.76/12.61 ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | node9(s399) | node8(s399) | node10(s399) | m_main_v_state2(s400, c_c2)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31929, 617, 31926])).
% 17.76/12.61 tff(31931,plain,
% 17.76/12.61 (m_main_v_state2(s400, c_c2)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31930, 31915, 31911, 31875, 31868, 31864])).
% 17.76/12.61 tff(31932,plain,
% 17.76/12.61 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s400, c_t2)) | (~m_main_v_state2(s400, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s400, c_t2)) | (~m_main_v_state2(s400, c_c2)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31933,plain,
% 17.76/12.61 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s400, c_t2)) | (~m_main_v_state2(s400, c_c2)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31934,plain,
% 17.76/12.61 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s400, c_t2)) | (~m_main_v_state2(s400, c_c2))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31933, 31932])).
% 17.76/12.61 tff(31935,plain,
% 17.76/12.61 (~m_main_v_state2(s400, c_t2)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31934, 260, 31931])).
% 17.76/12.61 tff(31936,plain,
% 17.76/12.61 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s400, c_t2) | (~node12(s400)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s400, c_t2) | (~node12(s400)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31937,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s400, c_t2) | (~node12(s400)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31938,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s400, c_t2) | (~node12(s400))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31937, 31936])).
% 17.76/12.61 tff(31939,plain,
% 17.76/12.61 (~node12(s400)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31938, 633, 31935])).
% 17.76/12.61 tff(31940,plain,
% 17.76/12.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s399, s400)) | node7(s399, s400))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s399, s400)) | node7(s399, s400))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31941,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s399, s400)) | node7(s399, s400))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31942,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s399, s400)) | node7(s399, s400)),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31941, 31940])).
% 17.76/12.61 tff(31943,plain,
% 17.76/12.61 (node7(s399, s400)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31942, 206, 31922])).
% 17.76/12.61 tff(31944,plain,
% 17.76/12.61 (((~![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(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node7(s399, s400)) | m_main_v_state1(s400, 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(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node7(s399, s400)) | m_main_v_state1(s400, c_t1))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31945,plain,
% 17.76/12.61 ((~![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(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node7(s399, s400)) | m_main_v_state1(s400, c_t1))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31946,plain,
% 17.76/12.61 ((~![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(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node7(s399, s400)) | m_main_v_state1(s400, c_t1)),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31945, 31944])).
% 17.76/12.61 tff(31947,plain,
% 17.76/12.61 ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | m_main_v_state1(s400, c_t1)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31946, 651, 31943])).
% 17.76/12.61 tff(31948,plain,
% 17.76/12.61 (m_main_v_state1(s400, c_t1)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31947, 31875, 31911])).
% 17.76/12.61 tff(31949,plain,
% 17.76/12.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s400, c_n1)) | (~m_main_v_state1(s400, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s400, c_n1)) | (~m_main_v_state1(s400, c_t1)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31950,plain,
% 17.76/12.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s400, c_n1)) | (~m_main_v_state1(s400, c_t1)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31951,plain,
% 17.76/12.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s400, c_n1)) | (~m_main_v_state1(s400, c_t1))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31950, 31949])).
% 17.76/12.61 tff(31952,plain,
% 17.76/12.61 (~m_main_v_state1(s400, c_n1)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31951, 10, 31948])).
% 17.76/12.61 tff(31953,plain,
% 17.76/12.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s400, c_n1) | (~node11(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s400, c_n1) | (~node11(s400)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31954,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s400, c_n1) | (~node11(s400)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31955,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s400, c_n1) | (~node11(s400))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31954, 31953])).
% 17.76/12.61 tff(31956,plain,
% 17.76/12.61 (~node11(s400)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31955, 238, 31952])).
% 17.76/12.61 tff(31957,plain,
% 17.76/12.61 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s400, c_t1)) | (~m_main_v_state1(s400, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s400, c_t1)) | (~m_main_v_state1(s400, c_c1)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31958,plain,
% 17.76/12.61 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s400, c_t1)) | (~m_main_v_state1(s400, c_c1)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31959,plain,
% 17.76/12.61 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s400, c_t1)) | (~m_main_v_state1(s400, c_c1))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31958, 31957])).
% 17.76/12.61 tff(31960,plain,
% 17.76/12.61 (~m_main_v_state1(s400, c_c1)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31959, 539, 31948])).
% 17.76/12.61 tff(31961,plain,
% 17.76/12.61 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s400, c_c1) | (~node10(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s400, c_c1) | (~node10(s400)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31962,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s400, c_c1) | (~node10(s400)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31963,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s400, c_c1) | (~node10(s400))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31962, 31961])).
% 17.76/12.61 tff(31964,plain,
% 17.76/12.61 (~node10(s400)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31963, 675, 31960])).
% 17.76/12.61 tff(31965,plain,
% 17.76/12.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s400, c_n1) | (~node9(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s400, c_n1) | (~node9(s400)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31966,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s400, c_n1) | (~node9(s400)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31967,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s400, c_n1) | (~node9(s400))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31966, 31965])).
% 17.76/12.61 tff(31968,plain,
% 17.76/12.61 (~node9(s400)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31967, 686, 31952])).
% 17.76/12.61 tff(31969,plain,
% 17.76/12.61 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s400, c_n2)) | (~m_main_v_state2(s400, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s400, c_n2)) | (~m_main_v_state2(s400, c_c2)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31970,plain,
% 17.76/12.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s400, c_n2)) | (~m_main_v_state2(s400, c_c2)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31971,plain,
% 17.76/12.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s400, c_n2)) | (~m_main_v_state2(s400, c_c2))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31970, 31969])).
% 17.76/12.61 tff(31972,plain,
% 17.76/12.61 (~m_main_v_state2(s400, c_n2)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31971, 697, 31931])).
% 17.76/12.61 tff(31973,plain,
% 17.76/12.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s400, c_n2) | (~node8(s400)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s400, c_n2) | (~node8(s400)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31974,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s400, c_n2) | (~node8(s400)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31975,plain,
% 17.76/12.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s400, c_n2) | (~node8(s400))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31974, 31973])).
% 17.76/12.61 tff(31976,plain,
% 17.76/12.61 (~node8(s400)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31975, 271, 31972])).
% 17.76/12.61 tff(31977,plain,
% 17.76/12.61 (succ(s400, s401) <=> succ(s400, s401)),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31978,axiom,(succ(s400, s401)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound401')).
% 17.76/12.61 tff(31979,plain,
% 17.76/12.61 (succ(s400, s401)),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31978, 31977])).
% 17.76/12.61 tff(31980,plain,
% 17.76/12.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s400, s401)) | trans(s400, s401))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s400, s401)) | trans(s400, s401))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31981,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s400, s401)) | trans(s400, s401))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31982,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s400, s401)) | trans(s400, s401)),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31981, 31980])).
% 17.76/12.61 tff(31983,plain,
% 17.76/12.61 (trans(s400, s401)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31982, 31979, 32])).
% 17.76/12.61 tff(31984,plain,
% 17.76/12.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s400, s401)) | node14(s400, s401))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s400, s401)) | node14(s400, s401))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31985,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s400, s401)) | node14(s400, s401))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31986,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s400, s401)) | node14(s400, s401)),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31985, 31984])).
% 17.76/12.61 tff(31987,plain,
% 17.76/12.61 (node14(s400, s401)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31986, 46, 31983])).
% 17.76/12.61 tff(31988,plain,
% 17.76/12.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, 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(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31989,plain,
% 17.76/12.61 (((~m_main_v_state2(s400, c_c2)) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | m_main_v_state2(s401, c_n2)) <=> (m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31990,plain,
% 17.76/12.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s400, c_c2)) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | m_main_v_state2(s401, 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(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2))))),
% 17.76/12.61 inference(monotonicity,[status(thm)],[31989])).
% 17.76/12.61 tff(31991,plain,
% 17.76/12.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s400, c_c2)) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | m_main_v_state2(s401, 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(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2)))),
% 17.76/12.61 inference(transitivity,[status(thm)],[31990, 31988])).
% 17.76/12.61 tff(31992,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s400, c_c2)) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | m_main_v_state2(s401, c_n2))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31993,plain,
% 17.76/12.61 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31992, 31991])).
% 17.76/12.61 tff(31994,plain,
% 17.76/12.61 (m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~m_main_v_state2(s400, c_c2))),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31993, 726, 31987])).
% 17.76/12.61 tff(31995,plain,
% 17.76/12.61 (m_main_v_state2(s401, c_n2)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31994, 31976, 31931, 31968, 31964, 31956, 31939])).
% 17.76/12.61 tff(31996,plain,
% 17.76/12.61 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_c2)))),
% 17.76/12.61 inference(rewrite,[status(thm)],[])).
% 17.76/12.61 tff(31997,plain,
% 17.76/12.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_c2)))),
% 17.76/12.61 inference(quant_inst,[status(thm)],[])).
% 17.76/12.61 tff(31998,plain,
% 17.76/12.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_c2))),
% 17.76/12.61 inference(modus_ponens,[status(thm)],[31997, 31996])).
% 17.76/12.61 tff(31999,plain,
% 17.76/12.61 (~m_main_v_state2(s401, c_c2)),
% 17.76/12.61 inference(unit_resolution,[status(thm)],[31998, 697, 31995])).
% 17.76/12.61 tff(32000,plain,
% 17.76/12.61 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s401, c_c2) | (~node3(s401)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s401, c_c2) | (~node3(s401)))),
% 17.82/12.61 inference(rewrite,[status(thm)],[])).
% 17.82/12.61 tff(32001,plain,
% 17.82/12.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s401, c_c2) | (~node3(s401)))),
% 17.82/12.61 inference(quant_inst,[status(thm)],[])).
% 17.82/12.61 tff(32002,plain,
% 17.82/12.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s401, c_c2) | (~node3(s401))),
% 17.82/12.61 inference(modus_ponens,[status(thm)],[32001, 32000])).
% 17.82/12.61 tff(32003,plain,
% 17.82/12.61 (~node3(s401)),
% 17.82/12.61 inference(unit_resolution,[status(thm)],[32002, 399, 31999])).
% 17.82/12.61 tff(32004,plain,
% 17.82/12.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s400, c_n1) | (~node1(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s400, c_n1) | (~node1(s400)))),
% 17.82/12.61 inference(rewrite,[status(thm)],[])).
% 17.82/12.61 tff(32005,plain,
% 17.82/12.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s400, c_n1) | (~node1(s400)))),
% 17.82/12.61 inference(quant_inst,[status(thm)],[])).
% 17.82/12.61 tff(32006,plain,
% 17.82/12.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s400, c_n1) | (~node1(s400))),
% 17.82/12.61 inference(modus_ponens,[status(thm)],[32005, 32004])).
% 17.82/12.61 tff(32007,plain,
% 17.82/12.61 (~node1(s400)),
% 17.82/12.61 inference(unit_resolution,[status(thm)],[32006, 421, 31952])).
% 17.82/12.61 tff(32008,plain,
% 17.82/12.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s399, s400)) | node18(s399, s400))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s399, s400)) | node18(s399, s400))),
% 17.82/12.61 inference(rewrite,[status(thm)],[])).
% 17.82/12.61 tff(32009,plain,
% 17.82/12.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s399, s400)) | node18(s399, s400))),
% 17.82/12.61 inference(quant_inst,[status(thm)],[])).
% 17.82/12.61 tff(32010,plain,
% 17.82/12.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s399, s400)) | node18(s399, s400)),
% 17.82/12.61 inference(modus_ponens,[status(thm)],[32009, 32008])).
% 17.82/12.61 tff(32011,plain,
% 17.82/12.61 (node18(s399, s400)),
% 17.82/12.61 inference(unit_resolution,[status(thm)],[32010, 125, 31922])).
% 17.82/12.61 tff(32012,plain,
% 17.82/12.61 (((~![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(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node18(s399, s400)) | m_main_v_turn(s400, 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(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node18(s399, s400)) | m_main_v_turn(s400, c_2))),
% 17.82/12.61 inference(rewrite,[status(thm)],[])).
% 17.82/12.61 tff(32013,plain,
% 17.82/12.61 ((~![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(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node18(s399, s400)) | m_main_v_turn(s400, c_2))),
% 17.82/12.61 inference(quant_inst,[status(thm)],[])).
% 17.82/12.61 tff(32014,plain,
% 17.82/12.61 ((~![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(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node18(s399, s400)) | m_main_v_turn(s400, c_2)),
% 17.82/12.61 inference(modus_ponens,[status(thm)],[32013, 32012])).
% 17.82/12.61 tff(32015,plain,
% 17.82/12.61 ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | m_main_v_turn(s400, c_2)),
% 17.82/12.61 inference(unit_resolution,[status(thm)],[32014, 760, 32011])).
% 17.82/12.61 tff(32016,plain,
% 17.82/12.61 (m_main_v_turn(s400, c_2)),
% 17.82/12.61 inference(unit_resolution,[status(thm)],[32015, 31875, 31911])).
% 17.82/12.61 tff(32017,plain,
% 17.82/12.61 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s400, c_1)) | (~m_main_v_turn(s400, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s400, c_1)) | (~m_main_v_turn(s400, c_2)))),
% 17.82/12.61 inference(rewrite,[status(thm)],[])).
% 17.82/12.61 tff(32018,plain,
% 17.82/12.61 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s400, c_1)) | (~m_main_v_turn(s400, c_2)))),
% 17.82/12.61 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32019,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s400, c_1)) | (~m_main_v_turn(s400, c_2))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32018, 32017])).
% 17.82/12.62 tff(32020,plain,
% 17.82/12.62 (~m_main_v_turn(s400, c_1)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32019, 156, 32016])).
% 17.82/12.62 tff(32021,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s400, c_1) | (~node5(s400)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s400, c_1) | (~node5(s400)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32022,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s400, c_1) | (~node5(s400)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32023,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s400, c_1) | (~node5(s400))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32022, 32021])).
% 17.82/12.62 tff(32024,plain,
% 17.82/12.62 (~node5(s400)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32023, 776, 32020])).
% 17.82/12.62 tff(32025,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s400, c_n1) | (~node2(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s400, c_n1) | (~node2(s400)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32026,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s400, c_n1) | (~node2(s400)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32027,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s400, c_n1) | (~node2(s400))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32026, 32025])).
% 17.82/12.62 tff(32028,plain,
% 17.82/12.62 (~node2(s400)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32027, 787, 31952])).
% 17.82/12.62 tff(32029,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s400, c_n1) | (~node3(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s400, c_n1) | (~node3(s400)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32030,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s400, c_n1) | (~node3(s400)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32031,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s400, c_n1) | (~node3(s400))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32030, 32029])).
% 17.82/12.62 tff(32032,plain,
% 17.82/12.62 (~node3(s400)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32031, 798, 31952])).
% 17.82/12.62 tff(32033,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s400, c_n2) | (~node4(s400)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s400, c_n2) | (~node4(s400)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32034,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s400, c_n2) | (~node4(s400)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32035,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s400, c_n2) | (~node4(s400))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32034, 32033])).
% 17.82/12.62 tff(32036,plain,
% 17.82/12.62 (~node4(s400)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32035, 388, 31972])).
% 17.82/12.62 tff(32037,plain,
% 17.82/12.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s400, s401)) | node7(s400, s401))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s400, s401)) | node7(s400, s401))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32038,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s400, s401)) | node7(s400, s401))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32039,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s400, s401)) | node7(s400, s401)),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32038, 32037])).
% 17.82/12.62 tff(32040,plain,
% 17.82/12.62 (node7(s400, s401)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32039, 206, 31983])).
% 17.82/12.62 tff(32041,plain,
% 17.82/12.62 (((~![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(s400, c_c1) | node1(s400) | node2(s400) | node3(s400) | node4(s400) | node5(s400) | node6(s400, s401) | (~node7(s400, s401)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s400, c_c1) | node1(s400) | node2(s400) | node3(s400) | node4(s400) | node5(s400) | node6(s400, s401) | (~node7(s400, s401)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32042,plain,
% 17.82/12.62 ((~![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(s400, c_c1) | node1(s400) | node2(s400) | node3(s400) | node4(s400) | node5(s400) | node6(s400, s401) | (~node7(s400, s401)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32043,plain,
% 17.82/12.62 ((~![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(s400, c_c1) | node1(s400) | node2(s400) | node3(s400) | node4(s400) | node5(s400) | node6(s400, s401) | (~node7(s400, s401))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32042, 32041])).
% 17.82/12.62 tff(32044,plain,
% 17.82/12.62 (m_main_v_state1(s400, c_c1) | node1(s400) | node2(s400) | node3(s400) | node4(s400) | node5(s400) | node6(s400, s401)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32043, 820, 32040])).
% 17.82/12.62 tff(32045,plain,
% 17.82/12.62 (node6(s400, s401)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32044, 32036, 31960, 32032, 32028, 32024, 32007])).
% 17.82/12.62 tff(32046,plain,
% 17.82/12.62 (((~![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(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32047,plain,
% 17.82/12.62 (((~node6(s400, s401)) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1))) <=> (m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32048,plain,
% 17.82/12.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s400, s401)) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, 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(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401))))),
% 17.82/12.62 inference(monotonicity,[status(thm)],[32047])).
% 17.82/12.62 tff(32049,plain,
% 17.82/12.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s400, s401)) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, 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(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401)))),
% 17.82/12.62 inference(transitivity,[status(thm)],[32048, 32046])).
% 17.82/12.62 tff(32050,plain,
% 17.82/12.62 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s400, s401)) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32051,plain,
% 17.82/12.62 ((~![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(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32050, 32049])).
% 17.82/12.62 tff(32052,plain,
% 17.82/12.62 (~m_main_v_state1(s401, c_n1)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32051, 835, 31952, 32045])).
% 17.82/12.62 tff(32053,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s401, c_n1) | (~node2(s401)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s401, c_n1) | (~node2(s401)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32054,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s401, c_n1) | (~node2(s401)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32055,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s401, c_n1) | (~node2(s401))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32054, 32053])).
% 17.82/12.62 tff(32056,plain,
% 17.82/12.62 (~node2(s401)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32055, 787, 32052])).
% 17.82/12.62 tff(32057,plain,
% 17.82/12.62 (((~![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(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32058,plain,
% 17.82/12.62 (((~node6(s400, s401)) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1)) <=> ((~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32059,plain,
% 17.82/12.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s400, s401)) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, 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(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401))))),
% 17.82/12.62 inference(monotonicity,[status(thm)],[32058])).
% 17.82/12.62 tff(32060,plain,
% 17.82/12.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s400, s401)) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, 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(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401)))),
% 17.82/12.62 inference(transitivity,[status(thm)],[32059, 32057])).
% 17.82/12.62 tff(32061,plain,
% 17.82/12.62 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s400, s401)) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32062,plain,
% 17.82/12.62 ((~![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(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32061, 32060])).
% 17.82/12.62 tff(32063,plain,
% 17.82/12.62 (m_main_v_state1(s401, c_t1)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32062, 856, 31948, 32045])).
% 17.82/12.62 tff(32064,plain,
% 17.82/12.62 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_t2)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32065,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_t2)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32066,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_t2))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32065, 32064])).
% 17.82/12.62 tff(32067,plain,
% 17.82/12.62 (~m_main_v_state2(s401, c_t2)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32066, 77, 31995])).
% 17.82/12.62 tff(32068,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s401, c_t2) | (~node1(s401)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s401, c_t2) | (~node1(s401)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32069,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s401, c_t2) | (~node1(s401)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32070,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s401, c_t2) | (~node1(s401))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32069, 32068])).
% 17.82/12.62 tff(32071,plain,
% 17.82/12.62 (~node1(s401)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32070, 195, 32067])).
% 17.82/12.62 tff(32072,plain,
% 17.82/12.62 (succ(s401, s402) <=> succ(s401, s402)),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32073,axiom,(succ(s401, s402)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound402')).
% 17.82/12.62 tff(32074,plain,
% 17.82/12.62 (succ(s401, s402)),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32073, 32072])).
% 17.82/12.62 tff(32075,plain,
% 17.82/12.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s401, s402)) | trans(s401, s402))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s401, s402)) | trans(s401, s402))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32076,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s401, s402)) | trans(s401, s402))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32077,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s401, s402)) | trans(s401, s402)),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32076, 32075])).
% 17.82/12.62 tff(32078,plain,
% 17.82/12.62 (trans(s401, s402)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32077, 32074, 32])).
% 17.82/12.62 tff(32079,plain,
% 17.82/12.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s401, s402)) | node7(s401, s402))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s401, s402)) | node7(s401, s402))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32080,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s401, s402)) | node7(s401, s402))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32081,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s401, s402)) | node7(s401, s402)),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32080, 32079])).
% 17.82/12.62 tff(32082,plain,
% 17.82/12.62 (node7(s401, s402)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32081, 206, 32078])).
% 17.82/12.62 tff(32083,plain,
% 17.82/12.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32084,plain,
% 17.82/12.62 (((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)) | m_main_v_state1(s402, c_c1)) <=> ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32085,plain,
% 17.82/12.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)) | m_main_v_state1(s402, 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(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402))))),
% 17.82/12.62 inference(monotonicity,[status(thm)],[32084])).
% 17.82/12.62 tff(32086,plain,
% 17.82/12.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)) | m_main_v_state1(s402, 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(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)))),
% 17.82/12.62 inference(transitivity,[status(thm)],[32085, 32083])).
% 17.82/12.62 tff(32087,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)) | m_main_v_state1(s402, c_c1))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32088,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32087, 32086])).
% 17.82/12.62 tff(32089,plain,
% 17.82/12.62 ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32088, 892, 32082])).
% 17.82/12.62 tff(32090,plain,
% 17.82/12.62 (m_main_v_state1(s402, c_c1)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32089, 32071, 31995, 32063, 32056, 32003])).
% 17.82/12.62 tff(32091,plain,
% 17.82/12.62 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s402, c_t1)) | (~m_main_v_state1(s402, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s402, c_t1)) | (~m_main_v_state1(s402, c_c1)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32092,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s402, c_t1)) | (~m_main_v_state1(s402, c_c1)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32093,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s402, c_t1)) | (~m_main_v_state1(s402, c_c1))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32092, 32091])).
% 17.82/12.62 tff(32094,plain,
% 17.82/12.62 (~m_main_v_state1(s402, c_t1)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32093, 539, 32090])).
% 17.82/12.62 tff(32095,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s402, c_t1) | (~node5(s402)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s402, c_t1) | (~node5(s402)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32096,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s402, c_t1) | (~node5(s402)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32097,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s402, c_t1) | (~node5(s402))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32096, 32095])).
% 17.82/12.62 tff(32098,plain,
% 17.82/12.62 (~node5(s402)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32097, 550, 32094])).
% 17.82/12.62 tff(32099,plain,
% 17.82/12.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s401, s402)) | node14(s401, s402))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s401, s402)) | node14(s401, s402))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32100,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s401, s402)) | node14(s401, s402))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32101,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s401, s402)) | node14(s401, s402)),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32100, 32099])).
% 17.82/12.62 tff(32102,plain,
% 17.82/12.62 (node14(s401, s402)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32101, 46, 32078])).
% 17.82/12.62 tff(32103,plain,
% 17.82/12.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | (~node14(s401, s402)) | m_main_v_state2(s402, 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(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | (~node14(s401, s402)) | m_main_v_state2(s402, c_t2))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32104,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | (~node14(s401, s402)) | m_main_v_state2(s402, c_t2))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32105,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | (~node14(s401, s402)) | m_main_v_state2(s402, c_t2)),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32104, 32103])).
% 17.82/12.62 tff(32106,plain,
% 17.82/12.62 ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state2(s402, c_t2)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32105, 922, 32102])).
% 17.82/12.62 tff(32107,plain,
% 17.82/12.62 (m_main_v_state2(s402, c_t2)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32106, 32063, 31995])).
% 17.82/12.62 tff(32108,plain,
% 17.82/12.62 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s402, c_n2)) | (~m_main_v_state2(s402, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s402, c_n2)) | (~m_main_v_state2(s402, c_t2)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32109,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s402, c_n2)) | (~m_main_v_state2(s402, c_t2)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32110,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s402, c_n2)) | (~m_main_v_state2(s402, c_t2))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32109, 32108])).
% 17.82/12.62 tff(32111,plain,
% 17.82/12.62 (~m_main_v_state2(s402, c_n2)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32110, 77, 32107])).
% 17.82/12.62 tff(32112,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s402, c_n2) | (~node4(s402)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s402, c_n2) | (~node4(s402)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32113,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s402, c_n2) | (~node4(s402)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32114,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s402, c_n2) | (~node4(s402))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32113, 32112])).
% 17.82/12.62 tff(32115,plain,
% 17.82/12.62 (~node4(s402)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32114, 388, 32111])).
% 17.82/12.62 tff(32116,plain,
% 17.82/12.62 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s402, c_t2)) | (~m_main_v_state2(s402, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s402, c_t2)) | (~m_main_v_state2(s402, c_c2)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32117,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s402, c_t2)) | (~m_main_v_state2(s402, c_c2)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32118,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s402, c_t2)) | (~m_main_v_state2(s402, c_c2))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32117, 32116])).
% 17.82/12.62 tff(32119,plain,
% 17.82/12.62 (~m_main_v_state2(s402, c_c2)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32118, 260, 32107])).
% 17.82/12.62 tff(32120,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s402, c_c2) | (~node3(s402)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s402, c_c2) | (~node3(s402)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32121,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s402, c_c2) | (~node3(s402)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32122,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s402, c_c2) | (~node3(s402))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32121, 32120])).
% 17.82/12.62 tff(32123,plain,
% 17.82/12.62 (~node3(s402)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32122, 399, 32119])).
% 17.82/12.62 tff(32124,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s402, c_n2) | (~node2(s402)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s402, c_n2) | (~node2(s402)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32125,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s402, c_n2) | (~node2(s402)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32126,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s402, c_n2) | (~node2(s402))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32125, 32124])).
% 17.82/12.62 tff(32127,plain,
% 17.82/12.62 (~node2(s402)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32126, 410, 32111])).
% 17.82/12.62 tff(32128,plain,
% 17.82/12.62 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s402, c_n1)) | (~m_main_v_state1(s402, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s402, c_n1)) | (~m_main_v_state1(s402, c_c1)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32129,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s402, c_n1)) | (~m_main_v_state1(s402, c_c1)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32130,plain,
% 17.82/12.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s402, c_n1)) | (~m_main_v_state1(s402, c_c1))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32129, 32128])).
% 17.82/12.62 tff(32131,plain,
% 17.82/12.62 (~m_main_v_state1(s402, c_n1)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32130, 454, 32090])).
% 17.82/12.62 tff(32132,plain,
% 17.82/12.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s402, c_n1) | (~node1(s402)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s402, c_n1) | (~node1(s402)))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32133,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s402, c_n1) | (~node1(s402)))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32134,plain,
% 17.82/12.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s402, c_n1) | (~node1(s402))),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32133, 32132])).
% 17.82/12.62 tff(32135,plain,
% 17.82/12.62 (~node1(s402)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32134, 421, 32131])).
% 17.82/12.62 tff(32136,plain,
% 17.82/12.62 (succ(s402, s403) <=> succ(s402, s403)),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32137,axiom,(succ(s402, s403)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound403')).
% 17.82/12.62 tff(32138,plain,
% 17.82/12.62 (succ(s402, s403)),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32137, 32136])).
% 17.82/12.62 tff(32139,plain,
% 17.82/12.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s402, s403)) | trans(s402, s403))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s402, s403)) | trans(s402, s403))),
% 17.82/12.62 inference(rewrite,[status(thm)],[])).
% 17.82/12.62 tff(32140,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s402, s403)) | trans(s402, s403))),
% 17.82/12.62 inference(quant_inst,[status(thm)],[])).
% 17.82/12.62 tff(32141,plain,
% 17.82/12.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s402, s403)) | trans(s402, s403)),
% 17.82/12.62 inference(modus_ponens,[status(thm)],[32140, 32139])).
% 17.82/12.62 tff(32142,plain,
% 17.82/12.62 (trans(s402, s403)),
% 17.82/12.62 inference(unit_resolution,[status(thm)],[32141, 32138, 32])).
% 17.82/12.62 tff(32143,plain,
% 17.82/12.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s402, s403)) | node7(s402, s403))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s402, s403)) | node7(s402, s403))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32144,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s402, s403)) | node7(s402, s403))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32145,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s402, s403)) | node7(s402, s403)),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32144, 32143])).
% 17.82/12.63 tff(32146,plain,
% 17.82/12.63 (node7(s402, s403)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32145, 206, 32142])).
% 17.82/12.63 tff(32147,plain,
% 17.82/12.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32148,plain,
% 17.82/12.63 (((~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)) | m_main_v_state1(s403, c_n1)) <=> (m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32149,plain,
% 17.82/12.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)) | m_main_v_state1(s403, 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(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403))))),
% 17.82/12.63 inference(monotonicity,[status(thm)],[32148])).
% 17.82/12.63 tff(32150,plain,
% 17.82/12.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)) | m_main_v_state1(s403, 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(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)))),
% 17.82/12.63 inference(transitivity,[status(thm)],[32149, 32147])).
% 17.82/12.63 tff(32151,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)) | m_main_v_state1(s403, c_n1))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32152,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32151, 32150])).
% 17.82/12.63 tff(32153,plain,
% 17.82/12.63 (m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32152, 584, 32146])).
% 17.82/12.63 tff(32154,plain,
% 17.82/12.63 (m_main_v_state1(s403, c_n1)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32153, 32135, 32090, 32127, 32123, 32115, 32098])).
% 17.82/12.63 tff(32155,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s401, c_t2) | (~node15(s401)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s401, c_t2) | (~node15(s401)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32156,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s401, c_t2) | (~node15(s401)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32157,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s401, c_t2) | (~node15(s401))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32156, 32155])).
% 17.82/12.63 tff(32158,plain,
% 17.82/12.63 (~node15(s401)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32157, 103, 32067])).
% 17.82/12.63 tff(32159,plain,
% 17.82/12.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s401, s402)) | node18(s401, s402))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s401, s402)) | node18(s401, s402))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32160,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s401, s402)) | node18(s401, s402))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32161,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s401, s402)) | node18(s401, s402)),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32160, 32159])).
% 17.82/12.63 tff(32162,plain,
% 17.82/12.63 (node18(s401, s402)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32161, 125, 32078])).
% 17.82/12.63 tff(32163,plain,
% 17.82/12.63 (((~![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(s401) | (~node18(s401, s402)) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_turn(s402, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s401) | (~node18(s401, s402)) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_turn(s402, c_1))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32164,plain,
% 17.82/12.63 (((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node15(s401) | (~node18(s401, s402)) | m_main_v_turn(s402, c_1)) <=> (node15(s401) | (~node18(s401, s402)) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_turn(s402, c_1))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32165,plain,
% 17.82/12.63 (((~![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(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node15(s401) | (~node18(s401, s402)) | m_main_v_turn(s402, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s401) | (~node18(s401, s402)) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_turn(s402, c_1)))),
% 17.82/12.63 inference(monotonicity,[status(thm)],[32164])).
% 17.82/12.63 tff(32166,plain,
% 17.82/12.63 (((~![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(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node15(s401) | (~node18(s401, s402)) | m_main_v_turn(s402, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s401) | (~node18(s401, s402)) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_turn(s402, c_1))),
% 17.82/12.63 inference(transitivity,[status(thm)],[32165, 32163])).
% 17.82/12.63 tff(32167,plain,
% 17.82/12.63 ((~![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(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node15(s401) | (~node18(s401, s402)) | m_main_v_turn(s402, c_1))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32168,plain,
% 17.82/12.63 ((~![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(s401) | (~node18(s401, s402)) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_turn(s402, c_1)),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32167, 32166])).
% 17.82/12.63 tff(32169,plain,
% 17.82/12.63 (node15(s401) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_turn(s402, c_1)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32168, 992, 32162])).
% 17.82/12.63 tff(32170,plain,
% 17.82/12.63 (m_main_v_turn(s402, c_1)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32169, 32158, 31995, 32063])).
% 17.82/12.63 tff(32171,plain,
% 17.82/12.63 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s402, c_1)) | (~m_main_v_turn(s402, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s402, c_1)) | (~m_main_v_turn(s402, c_2)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32172,plain,
% 17.82/12.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s402, c_1)) | (~m_main_v_turn(s402, c_2)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32173,plain,
% 17.82/12.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s402, c_1)) | (~m_main_v_turn(s402, c_2))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32172, 32171])).
% 17.82/12.63 tff(32174,plain,
% 17.82/12.63 (~m_main_v_turn(s402, c_2)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32173, 156, 32170])).
% 17.82/12.63 tff(32175,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s402, c_2) | (~node12(s402)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s402, c_2) | (~node12(s402)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32176,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s402, c_2) | (~node12(s402)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32177,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s402, c_2) | (~node12(s402))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32176, 32175])).
% 17.82/12.63 tff(32178,plain,
% 17.82/12.63 (~node12(s402)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32177, 184, 32174])).
% 17.82/12.63 tff(32179,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s402, c_n2) | (~node8(s402)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s402, c_n2) | (~node8(s402)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32180,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s402, c_n2) | (~node8(s402)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32181,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s402, c_n2) | (~node8(s402))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32180, 32179])).
% 17.82/12.63 tff(32182,plain,
% 17.82/12.63 (~node8(s402)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32181, 271, 32111])).
% 17.82/12.63 tff(32183,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s402, c_n2) | (~node9(s402)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s402, c_n2) | (~node9(s402)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32184,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s402, c_n2) | (~node9(s402)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32185,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s402, c_n2) | (~node9(s402))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32184, 32183])).
% 17.82/12.63 tff(32186,plain,
% 17.82/12.63 (~node9(s402)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32185, 88, 32111])).
% 17.82/12.63 tff(32187,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s402, c_n2) | (~node10(s402)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s402, c_n2) | (~node10(s402)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32188,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s402, c_n2) | (~node10(s402)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32189,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s402, c_n2) | (~node10(s402))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32188, 32187])).
% 17.82/12.63 tff(32190,plain,
% 17.82/12.63 (~node10(s402)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32189, 249, 32111])).
% 17.82/12.63 tff(32191,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s402, c_n1) | (~node11(s402)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s402, c_n1) | (~node11(s402)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32192,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s402, c_n1) | (~node11(s402)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32193,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s402, c_n1) | (~node11(s402))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32192, 32191])).
% 17.82/12.63 tff(32194,plain,
% 17.82/12.63 (~node11(s402)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32193, 238, 32131])).
% 17.82/12.63 tff(32195,plain,
% 17.82/12.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s402, s403)) | node14(s402, s403))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s402, s403)) | node14(s402, s403))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32196,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s402, s403)) | node14(s402, s403))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32197,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s402, s403)) | node14(s402, s403)),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32196, 32195])).
% 17.82/12.63 tff(32198,plain,
% 17.82/12.63 (node14(s402, s403)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32197, 46, 32142])).
% 17.82/12.63 tff(32199,plain,
% 17.82/12.63 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s402, c_c2) | node9(s402) | node8(s402) | node10(s402) | node11(s402) | node12(s402) | node13(s402, s403) | (~node14(s402, s403)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s402, c_c2) | node9(s402) | node8(s402) | node10(s402) | node11(s402) | node12(s402) | node13(s402, s403) | (~node14(s402, s403)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32200,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s402, c_c2) | node9(s402) | node8(s402) | node10(s402) | node11(s402) | node12(s402) | node13(s402, s403) | (~node14(s402, s403)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32201,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s402, c_c2) | node9(s402) | node8(s402) | node10(s402) | node11(s402) | node12(s402) | node13(s402, s403) | (~node14(s402, s403))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32200, 32199])).
% 17.82/12.63 tff(32202,plain,
% 17.82/12.63 (m_main_v_state2(s402, c_c2) | node9(s402) | node8(s402) | node10(s402) | node11(s402) | node12(s402) | node13(s402, s403)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32201, 296, 32198])).
% 17.82/12.63 tff(32203,plain,
% 17.82/12.63 (node13(s402, s403)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32202, 32194, 32119, 32190, 32186, 32182, 32178])).
% 17.82/12.63 tff(32204,plain,
% 17.82/12.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s402, c_t2)) | m_main_v_state2(s403, c_t2) | (~node13(s402, s403)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s402, c_t2)) | m_main_v_state2(s403, c_t2) | (~node13(s402, s403)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32205,plain,
% 17.82/12.63 (((~node13(s402, s403)) | (~m_main_v_state2(s402, c_t2)) | m_main_v_state2(s403, c_t2)) <=> ((~m_main_v_state2(s402, c_t2)) | m_main_v_state2(s403, c_t2) | (~node13(s402, s403)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32206,plain,
% 17.82/12.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s402, s403)) | (~m_main_v_state2(s402, c_t2)) | m_main_v_state2(s403, 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(s402, c_t2)) | m_main_v_state2(s403, c_t2) | (~node13(s402, s403))))),
% 17.82/12.63 inference(monotonicity,[status(thm)],[32205])).
% 17.82/12.63 tff(32207,plain,
% 17.82/12.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s402, s403)) | (~m_main_v_state2(s402, c_t2)) | m_main_v_state2(s403, 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(s402, c_t2)) | m_main_v_state2(s403, c_t2) | (~node13(s402, s403)))),
% 17.82/12.63 inference(transitivity,[status(thm)],[32206, 32204])).
% 17.82/12.63 tff(32208,plain,
% 17.82/12.63 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s402, s403)) | (~m_main_v_state2(s402, c_t2)) | m_main_v_state2(s403, c_t2))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32209,plain,
% 17.82/12.63 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s402, c_t2)) | m_main_v_state2(s403, c_t2) | (~node13(s402, s403))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32208, 32207])).
% 17.82/12.63 tff(32210,plain,
% 17.82/12.63 (m_main_v_state2(s403, c_t2)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32209, 518, 32107, 32203])).
% 17.82/12.63 tff(32211,plain,
% 17.82/12.63 (succ(s403, s404) <=> succ(s403, s404)),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32212,axiom,(succ(s403, s404)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound404')).
% 17.82/12.63 tff(32213,plain,
% 17.82/12.63 (succ(s403, s404)),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32212, 32211])).
% 17.82/12.63 tff(32214,plain,
% 17.82/12.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s403, s404)) | trans(s403, s404))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s403, s404)) | trans(s403, s404))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32215,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s403, s404)) | trans(s403, s404))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32216,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s403, s404)) | trans(s403, s404)),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32215, 32214])).
% 17.82/12.63 tff(32217,plain,
% 17.82/12.63 (trans(s403, s404)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32216, 32213, 32])).
% 17.82/12.63 tff(32218,plain,
% 17.82/12.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s403, s404)) | node7(s403, s404))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s403, s404)) | node7(s403, s404))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32219,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s403, s404)) | node7(s403, s404))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32220,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s403, s404)) | node7(s403, s404)),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32219, 32218])).
% 17.82/12.63 tff(32221,plain,
% 17.82/12.63 (node7(s403, s404)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32220, 206, 32217])).
% 17.82/12.63 tff(32222,plain,
% 17.82/12.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | (~node7(s403, s404)) | m_main_v_state1(s404, 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(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | (~node7(s403, s404)) | m_main_v_state1(s404, c_t1))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32223,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | (~node7(s403, s404)) | m_main_v_state1(s404, c_t1))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32224,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | (~node7(s403, s404)) | m_main_v_state1(s404, c_t1)),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32223, 32222])).
% 17.82/12.63 tff(32225,plain,
% 17.82/12.63 ((~m_main_v_state1(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | m_main_v_state1(s404, c_t1)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32224, 651, 32221])).
% 17.82/12.63 tff(32226,plain,
% 17.82/12.63 (m_main_v_state1(s404, c_t1)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32225, 32210, 32154])).
% 17.82/12.63 tff(32227,plain,
% 17.82/12.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s404, c_n1)) | (~m_main_v_state1(s404, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s404, c_n1)) | (~m_main_v_state1(s404, c_t1)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32228,plain,
% 17.82/12.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s404, c_n1)) | (~m_main_v_state1(s404, c_t1)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32229,plain,
% 17.82/12.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s404, c_n1)) | (~m_main_v_state1(s404, c_t1))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32228, 32227])).
% 17.82/12.63 tff(32230,plain,
% 17.82/12.63 (~m_main_v_state1(s404, c_n1)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32229, 10, 32226])).
% 17.82/12.63 tff(32231,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s404, c_n1) | (~node1(s404)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s404, c_n1) | (~node1(s404)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32232,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s404, c_n1) | (~node1(s404)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32233,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s404, c_n1) | (~node1(s404))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32232, 32231])).
% 17.82/12.63 tff(32234,plain,
% 17.82/12.63 (~node1(s404)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32233, 421, 32230])).
% 17.82/12.63 tff(32235,plain,
% 17.82/12.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s403, s404)) | node18(s403, s404))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s403, s404)) | node18(s403, s404))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32236,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s403, s404)) | node18(s403, s404))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32237,plain,
% 17.82/12.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s403, s404)) | node18(s403, s404)),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32236, 32235])).
% 17.82/12.63 tff(32238,plain,
% 17.82/12.63 (node18(s403, s404)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32237, 125, 32217])).
% 17.82/12.63 tff(32239,plain,
% 17.82/12.63 (((~![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(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | (~node18(s403, s404)) | m_main_v_turn(s404, 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(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | (~node18(s403, s404)) | m_main_v_turn(s404, c_2))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32240,plain,
% 17.82/12.63 ((~![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(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | (~node18(s403, s404)) | m_main_v_turn(s404, c_2))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32241,plain,
% 17.82/12.63 ((~![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(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | (~node18(s403, s404)) | m_main_v_turn(s404, c_2)),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32240, 32239])).
% 17.82/12.63 tff(32242,plain,
% 17.82/12.63 ((~m_main_v_state1(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | m_main_v_turn(s404, c_2)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32241, 760, 32238])).
% 17.82/12.63 tff(32243,plain,
% 17.82/12.63 (m_main_v_turn(s404, c_2)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32242, 32210, 32154])).
% 17.82/12.63 tff(32244,plain,
% 17.82/12.63 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s404, c_1)) | (~m_main_v_turn(s404, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s404, c_1)) | (~m_main_v_turn(s404, c_2)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32245,plain,
% 17.82/12.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s404, c_1)) | (~m_main_v_turn(s404, c_2)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32246,plain,
% 17.82/12.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s404, c_1)) | (~m_main_v_turn(s404, c_2))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32245, 32244])).
% 17.82/12.63 tff(32247,plain,
% 17.82/12.63 (~m_main_v_turn(s404, c_1)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32246, 156, 32243])).
% 17.82/12.63 tff(32248,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s404, c_1) | (~node5(s404)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s404, c_1) | (~node5(s404)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32249,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s404, c_1) | (~node5(s404)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32250,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s404, c_1) | (~node5(s404))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32249, 32248])).
% 17.82/12.63 tff(32251,plain,
% 17.82/12.63 (~node5(s404)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32250, 776, 32247])).
% 17.82/12.63 tff(32252,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s404, c_n1) | (~node2(s404)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s404, c_n1) | (~node2(s404)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32253,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s404, c_n1) | (~node2(s404)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32254,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s404, c_n1) | (~node2(s404))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32253, 32252])).
% 17.82/12.63 tff(32255,plain,
% 17.82/12.63 (~node2(s404)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32254, 787, 32230])).
% 17.82/12.63 tff(32256,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s404, c_n1) | (~node3(s404)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s404, c_n1) | (~node3(s404)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32257,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s404, c_n1) | (~node3(s404)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32258,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s404, c_n1) | (~node3(s404))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32257, 32256])).
% 17.82/12.63 tff(32259,plain,
% 17.82/12.63 (~node3(s404)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32258, 798, 32230])).
% 17.82/12.63 tff(32260,plain,
% 17.82/12.63 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s404, c_t1)) | (~m_main_v_state1(s404, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s404, c_t1)) | (~m_main_v_state1(s404, c_c1)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32261,plain,
% 17.82/12.63 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s404, c_t1)) | (~m_main_v_state1(s404, c_c1)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32262,plain,
% 17.82/12.63 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s404, c_t1)) | (~m_main_v_state1(s404, c_c1))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32261, 32260])).
% 17.82/12.63 tff(32263,plain,
% 17.82/12.63 (~m_main_v_state1(s404, c_c1)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32262, 539, 32226])).
% 17.82/12.63 tff(32264,plain,
% 17.82/12.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s402, c_n2) | (~m_main_v_state2(s403, c_n2)) | (~node13(s402, s403)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s402, c_n2) | (~m_main_v_state2(s403, c_n2)) | (~node13(s402, s403)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32265,plain,
% 17.82/12.63 (((~node13(s402, s403)) | m_main_v_state2(s402, c_n2) | (~m_main_v_state2(s403, c_n2))) <=> (m_main_v_state2(s402, c_n2) | (~m_main_v_state2(s403, c_n2)) | (~node13(s402, s403)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32266,plain,
% 17.82/12.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s402, s403)) | m_main_v_state2(s402, c_n2) | (~m_main_v_state2(s403, 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(s402, c_n2) | (~m_main_v_state2(s403, c_n2)) | (~node13(s402, s403))))),
% 17.82/12.63 inference(monotonicity,[status(thm)],[32265])).
% 17.82/12.63 tff(32267,plain,
% 17.82/12.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s402, s403)) | m_main_v_state2(s402, c_n2) | (~m_main_v_state2(s403, 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(s402, c_n2) | (~m_main_v_state2(s403, c_n2)) | (~node13(s402, s403)))),
% 17.82/12.63 inference(transitivity,[status(thm)],[32266, 32264])).
% 17.82/12.63 tff(32268,plain,
% 17.82/12.63 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s402, s403)) | m_main_v_state2(s402, c_n2) | (~m_main_v_state2(s403, c_n2)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32269,plain,
% 17.82/12.63 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s402, c_n2) | (~m_main_v_state2(s403, c_n2)) | (~node13(s402, s403))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32268, 32267])).
% 17.82/12.63 tff(32270,plain,
% 17.82/12.63 (~m_main_v_state2(s403, c_n2)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32269, 311, 32111, 32203])).
% 17.82/12.63 tff(32271,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s403, c_n2) | (~node9(s403)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s403, c_n2) | (~node9(s403)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32272,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s403, c_n2) | (~node9(s403)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.63 tff(32273,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s403, c_n2) | (~node9(s403))),
% 17.82/12.63 inference(modus_ponens,[status(thm)],[32272, 32271])).
% 17.82/12.63 tff(32274,plain,
% 17.82/12.63 (~node9(s403)),
% 17.82/12.63 inference(unit_resolution,[status(thm)],[32273, 88, 32270])).
% 17.82/12.63 tff(32275,plain,
% 17.82/12.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s403, c_n2) | (~node10(s403)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s403, c_n2) | (~node10(s403)))),
% 17.82/12.63 inference(rewrite,[status(thm)],[])).
% 17.82/12.63 tff(32276,plain,
% 17.82/12.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s403, c_n2) | (~node10(s403)))),
% 17.82/12.63 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32277,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s403, c_n2) | (~node10(s403))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32276, 32275])).
% 17.82/12.64 tff(32278,plain,
% 17.82/12.64 (~node10(s403)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32277, 249, 32270])).
% 17.82/12.64 tff(32279,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s403, c_n2) | (~node8(s403)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s403, c_n2) | (~node8(s403)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32280,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s403, c_n2) | (~node8(s403)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32281,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s403, c_n2) | (~node8(s403))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32280, 32279])).
% 17.82/12.64 tff(32282,plain,
% 17.82/12.64 (~node8(s403)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32281, 271, 32270])).
% 17.82/12.64 tff(32283,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s403, s404)) | node14(s403, s404))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s403, s404)) | node14(s403, s404))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32284,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s403, s404)) | node14(s403, s404))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32285,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s403, s404)) | node14(s403, s404)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32284, 32283])).
% 17.82/12.64 tff(32286,plain,
% 17.82/12.64 (node14(s403, s404)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32285, 46, 32217])).
% 17.82/12.64 tff(32287,plain,
% 17.82/12.64 (((~![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(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | node9(s403) | node8(s403) | node10(s403) | (~node14(s403, s404)) | m_main_v_state2(s404, 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(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | node9(s403) | node8(s403) | node10(s403) | (~node14(s403, s404)) | m_main_v_state2(s404, c_c2))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32288,plain,
% 17.82/12.64 ((~![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(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | node9(s403) | node8(s403) | node10(s403) | (~node14(s403, s404)) | m_main_v_state2(s404, c_c2))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32289,plain,
% 17.82/12.64 ((~![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(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | node9(s403) | node8(s403) | node10(s403) | (~node14(s403, s404)) | m_main_v_state2(s404, c_c2)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32288, 32287])).
% 17.82/12.64 tff(32290,plain,
% 17.82/12.64 ((~m_main_v_state1(s403, c_n1)) | (~m_main_v_state2(s403, c_t2)) | node9(s403) | node8(s403) | node10(s403) | m_main_v_state2(s404, c_c2)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32289, 617, 32286])).
% 17.82/12.64 tff(32291,plain,
% 17.82/12.64 (m_main_v_state2(s404, c_c2)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32290, 32282, 32154, 32210, 32278, 32274])).
% 17.82/12.64 tff(32292,plain,
% 17.82/12.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s404, c_n2)) | (~m_main_v_state2(s404, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s404, c_n2)) | (~m_main_v_state2(s404, c_c2)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32293,plain,
% 17.82/12.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s404, c_n2)) | (~m_main_v_state2(s404, c_c2)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32294,plain,
% 17.82/12.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s404, c_n2)) | (~m_main_v_state2(s404, c_c2))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32293, 32292])).
% 17.82/12.64 tff(32295,plain,
% 17.82/12.64 (~m_main_v_state2(s404, c_n2)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32294, 697, 32291])).
% 17.82/12.64 tff(32296,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s404, c_n2) | (~node4(s404)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s404, c_n2) | (~node4(s404)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32297,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s404, c_n2) | (~node4(s404)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32298,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s404, c_n2) | (~node4(s404))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32297, 32296])).
% 17.82/12.64 tff(32299,plain,
% 17.82/12.64 (~node4(s404)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32298, 388, 32295])).
% 17.82/12.64 tff(32300,plain,
% 17.82/12.64 (succ(s404, s405) <=> succ(s404, s405)),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32301,axiom,(succ(s404, s405)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound405')).
% 17.82/12.64 tff(32302,plain,
% 17.82/12.64 (succ(s404, s405)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32301, 32300])).
% 17.82/12.64 tff(32303,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s404, s405)) | trans(s404, s405))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s404, s405)) | trans(s404, s405))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32304,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s404, s405)) | trans(s404, s405))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32305,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s404, s405)) | trans(s404, s405)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32304, 32303])).
% 17.82/12.64 tff(32306,plain,
% 17.82/12.64 (trans(s404, s405)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32305, 32302, 32])).
% 17.82/12.64 tff(32307,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s404, s405)) | node7(s404, s405))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s404, s405)) | node7(s404, s405))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32308,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s404, s405)) | node7(s404, s405))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32309,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s404, s405)) | node7(s404, s405)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32308, 32307])).
% 17.82/12.64 tff(32310,plain,
% 17.82/12.64 (node7(s404, s405)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32309, 206, 32306])).
% 17.82/12.64 tff(32311,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s404, c_c1) | node1(s404) | node2(s404) | node3(s404) | node4(s404) | node5(s404) | node6(s404, s405) | (~node7(s404, s405)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s404, c_c1) | node1(s404) | node2(s404) | node3(s404) | node4(s404) | node5(s404) | node6(s404, s405) | (~node7(s404, s405)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32312,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s404, c_c1) | node1(s404) | node2(s404) | node3(s404) | node4(s404) | node5(s404) | node6(s404, s405) | (~node7(s404, s405)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32313,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s404, c_c1) | node1(s404) | node2(s404) | node3(s404) | node4(s404) | node5(s404) | node6(s404, s405) | (~node7(s404, s405))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32312, 32311])).
% 17.82/12.64 tff(32314,plain,
% 17.82/12.64 (m_main_v_state1(s404, c_c1) | node1(s404) | node2(s404) | node3(s404) | node4(s404) | node5(s404) | node6(s404, s405)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32313, 820, 32310])).
% 17.82/12.64 tff(32315,plain,
% 17.82/12.64 (node6(s404, s405)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32314, 32299, 32263, 32259, 32255, 32251, 32234])).
% 17.82/12.64 tff(32316,plain,
% 17.82/12.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s404, c_t1)) | m_main_v_state1(s405, c_t1) | (~node6(s404, s405)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s404, c_t1)) | m_main_v_state1(s405, c_t1) | (~node6(s404, s405)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32317,plain,
% 17.82/12.64 (((~node6(s404, s405)) | (~m_main_v_state1(s404, c_t1)) | m_main_v_state1(s405, c_t1)) <=> ((~m_main_v_state1(s404, c_t1)) | m_main_v_state1(s405, c_t1) | (~node6(s404, s405)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32318,plain,
% 17.82/12.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s404, s405)) | (~m_main_v_state1(s404, c_t1)) | m_main_v_state1(s405, 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(s404, c_t1)) | m_main_v_state1(s405, c_t1) | (~node6(s404, s405))))),
% 17.82/12.64 inference(monotonicity,[status(thm)],[32317])).
% 17.82/12.64 tff(32319,plain,
% 17.82/12.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s404, s405)) | (~m_main_v_state1(s404, c_t1)) | m_main_v_state1(s405, 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(s404, c_t1)) | m_main_v_state1(s405, c_t1) | (~node6(s404, s405)))),
% 17.82/12.64 inference(transitivity,[status(thm)],[32318, 32316])).
% 17.82/12.64 tff(32320,plain,
% 17.82/12.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s404, s405)) | (~m_main_v_state1(s404, c_t1)) | m_main_v_state1(s405, c_t1))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32321,plain,
% 17.82/12.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s404, c_t1)) | m_main_v_state1(s405, c_t1) | (~node6(s404, s405))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32320, 32319])).
% 17.82/12.64 tff(32322,plain,
% 17.82/12.64 (m_main_v_state1(s405, c_t1)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32321, 856, 32226, 32315])).
% 17.82/12.64 tff(32323,plain,
% 17.82/12.64 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s404, c_t2)) | (~m_main_v_state2(s404, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s404, c_t2)) | (~m_main_v_state2(s404, c_c2)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32324,plain,
% 17.82/12.64 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s404, c_t2)) | (~m_main_v_state2(s404, c_c2)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32325,plain,
% 17.82/12.64 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s404, c_t2)) | (~m_main_v_state2(s404, c_c2))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32324, 32323])).
% 17.82/12.64 tff(32326,plain,
% 17.82/12.64 (~m_main_v_state2(s404, c_t2)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32325, 260, 32291])).
% 17.82/12.64 tff(32327,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s404, c_t2) | (~node12(s404)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s404, c_t2) | (~node12(s404)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32328,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s404, c_t2) | (~node12(s404)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32329,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s404, c_t2) | (~node12(s404))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32328, 32327])).
% 17.82/12.64 tff(32330,plain,
% 17.82/12.64 (~node12(s404)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32329, 633, 32326])).
% 17.82/12.64 tff(32331,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s404, c_n1) | (~node11(s404)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s404, c_n1) | (~node11(s404)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32332,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s404, c_n1) | (~node11(s404)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32333,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s404, c_n1) | (~node11(s404))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32332, 32331])).
% 17.82/12.64 tff(32334,plain,
% 17.82/12.64 (~node11(s404)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32333, 238, 32230])).
% 17.82/12.64 tff(32335,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s404, c_c1) | (~node10(s404)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s404, c_c1) | (~node10(s404)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32336,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s404, c_c1) | (~node10(s404)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32337,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s404, c_c1) | (~node10(s404))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32336, 32335])).
% 17.82/12.64 tff(32338,plain,
% 17.82/12.64 (~node10(s404)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32337, 675, 32263])).
% 17.82/12.64 tff(32339,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s404, c_n1) | (~node9(s404)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s404, c_n1) | (~node9(s404)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32340,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s404, c_n1) | (~node9(s404)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32341,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s404, c_n1) | (~node9(s404))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32340, 32339])).
% 17.82/12.64 tff(32342,plain,
% 17.82/12.64 (~node9(s404)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32341, 686, 32230])).
% 17.82/12.64 tff(32343,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s404, c_n2) | (~node8(s404)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s404, c_n2) | (~node8(s404)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32344,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s404, c_n2) | (~node8(s404)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32345,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s404, c_n2) | (~node8(s404))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32344, 32343])).
% 17.82/12.64 tff(32346,plain,
% 17.82/12.64 (~node8(s404)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32345, 271, 32295])).
% 17.82/12.64 tff(32347,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s404, s405)) | node14(s404, s405))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s404, s405)) | node14(s404, s405))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32348,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s404, s405)) | node14(s404, s405))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32349,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s404, s405)) | node14(s404, s405)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32348, 32347])).
% 17.82/12.64 tff(32350,plain,
% 17.82/12.64 (node14(s404, s405)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32349, 46, 32306])).
% 17.82/12.64 tff(32351,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s405, c_n2) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~node14(s404, s405)) | (~m_main_v_state2(s404, 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(s405, c_n2) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~node14(s404, s405)) | (~m_main_v_state2(s404, c_c2)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32352,plain,
% 17.82/12.64 (((~m_main_v_state2(s404, c_c2)) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~node14(s404, s405)) | m_main_v_state2(s405, c_n2)) <=> (m_main_v_state2(s405, c_n2) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~node14(s404, s405)) | (~m_main_v_state2(s404, c_c2)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32353,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s404, c_c2)) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~node14(s404, s405)) | m_main_v_state2(s405, 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(s405, c_n2) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~node14(s404, s405)) | (~m_main_v_state2(s404, c_c2))))),
% 17.82/12.64 inference(monotonicity,[status(thm)],[32352])).
% 17.82/12.64 tff(32354,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s404, c_c2)) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~node14(s404, s405)) | m_main_v_state2(s405, 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(s405, c_n2) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~node14(s404, s405)) | (~m_main_v_state2(s404, c_c2)))),
% 17.82/12.64 inference(transitivity,[status(thm)],[32353, 32351])).
% 17.82/12.64 tff(32355,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s404, c_c2)) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~node14(s404, s405)) | m_main_v_state2(s405, c_n2))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32356,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s405, c_n2) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~node14(s404, s405)) | (~m_main_v_state2(s404, c_c2))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32355, 32354])).
% 17.82/12.64 tff(32357,plain,
% 17.82/12.64 (m_main_v_state2(s405, c_n2) | node9(s404) | node8(s404) | node10(s404) | node11(s404) | node12(s404) | (~m_main_v_state2(s404, c_c2))),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32356, 726, 32350])).
% 17.82/12.64 tff(32358,plain,
% 17.82/12.64 (m_main_v_state2(s405, c_n2)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32357, 32346, 32291, 32342, 32338, 32334, 32330])).
% 17.82/12.64 tff(32359,plain,
% 17.82/12.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s405, c_n2)) | (~m_main_v_state2(s405, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s405, c_n2)) | (~m_main_v_state2(s405, c_t2)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32360,plain,
% 17.82/12.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s405, c_n2)) | (~m_main_v_state2(s405, c_t2)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32361,plain,
% 17.82/12.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s405, c_n2)) | (~m_main_v_state2(s405, c_t2))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32360, 32359])).
% 17.82/12.64 tff(32362,plain,
% 17.82/12.64 (~m_main_v_state2(s405, c_t2)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32361, 77, 32358])).
% 17.82/12.64 tff(32363,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s405, c_t2) | (~node15(s405)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s405, c_t2) | (~node15(s405)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32364,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s405, c_t2) | (~node15(s405)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32365,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s405, c_t2) | (~node15(s405))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32364, 32363])).
% 17.82/12.64 tff(32366,plain,
% 17.82/12.64 (~node15(s405)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32365, 103, 32362])).
% 17.82/12.64 tff(32367,plain,
% 17.82/12.64 (succ(s405, s406) <=> succ(s405, s406)),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32368,axiom,(succ(s405, s406)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound406')).
% 17.82/12.64 tff(32369,plain,
% 17.82/12.64 (succ(s405, s406)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32368, 32367])).
% 17.82/12.64 tff(32370,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s405, s406)) | trans(s405, s406))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s405, s406)) | trans(s405, s406))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32371,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s405, s406)) | trans(s405, s406))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32372,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s405, s406)) | trans(s405, s406)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32371, 32370])).
% 17.82/12.64 tff(32373,plain,
% 17.82/12.64 (trans(s405, s406)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32372, 32369, 32])).
% 17.82/12.64 tff(32374,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s405, s406)) | node18(s405, s406))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s405, s406)) | node18(s405, s406))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32375,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s405, s406)) | node18(s405, s406))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32376,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s405, s406)) | node18(s405, s406)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32375, 32374])).
% 17.82/12.64 tff(32377,plain,
% 17.82/12.64 (node18(s405, s406)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32376, 125, 32373])).
% 17.82/12.64 tff(32378,plain,
% 17.82/12.64 (((~![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(s405) | (~node18(s405, s406)) | (~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_turn(s406, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s405) | (~node18(s405, s406)) | (~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_turn(s406, c_1))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32379,plain,
% 17.82/12.64 (((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | node15(s405) | (~node18(s405, s406)) | m_main_v_turn(s406, c_1)) <=> (node15(s405) | (~node18(s405, s406)) | (~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_turn(s406, c_1))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32380,plain,
% 17.82/12.64 (((~![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(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | node15(s405) | (~node18(s405, s406)) | m_main_v_turn(s406, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s405) | (~node18(s405, s406)) | (~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_turn(s406, c_1)))),
% 17.82/12.64 inference(monotonicity,[status(thm)],[32379])).
% 17.82/12.64 tff(32381,plain,
% 17.82/12.64 (((~![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(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | node15(s405) | (~node18(s405, s406)) | m_main_v_turn(s406, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s405) | (~node18(s405, s406)) | (~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_turn(s406, c_1))),
% 17.82/12.64 inference(transitivity,[status(thm)],[32380, 32378])).
% 17.82/12.64 tff(32382,plain,
% 17.82/12.64 ((~![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(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | node15(s405) | (~node18(s405, s406)) | m_main_v_turn(s406, c_1))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32383,plain,
% 17.82/12.64 ((~![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(s405) | (~node18(s405, s406)) | (~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_turn(s406, c_1)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32382, 32381])).
% 17.82/12.64 tff(32384,plain,
% 17.82/12.64 (node15(s405) | (~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_turn(s406, c_1)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32383, 992, 32377])).
% 17.82/12.64 tff(32385,plain,
% 17.82/12.64 (m_main_v_turn(s406, c_1)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32384, 32366, 32358, 32322])).
% 17.82/12.64 tff(32386,plain,
% 17.82/12.64 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s406, c_1)) | (~m_main_v_turn(s406, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s406, c_1)) | (~m_main_v_turn(s406, c_2)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32387,plain,
% 17.82/12.64 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s406, c_1)) | (~m_main_v_turn(s406, c_2)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32388,plain,
% 17.82/12.64 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s406, c_1)) | (~m_main_v_turn(s406, c_2))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32387, 32386])).
% 17.82/12.64 tff(32389,plain,
% 17.82/12.64 (~m_main_v_turn(s406, c_2)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32388, 156, 32385])).
% 17.82/12.64 tff(32390,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s406, c_2) | (~node12(s406)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s406, c_2) | (~node12(s406)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32391,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s406, c_2) | (~node12(s406)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32392,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s406, c_2) | (~node12(s406))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32391, 32390])).
% 17.82/12.64 tff(32393,plain,
% 17.82/12.64 (~node12(s406)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32392, 184, 32389])).
% 17.82/12.64 tff(32394,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s405, s406)) | node14(s405, s406))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s405, s406)) | node14(s405, s406))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32395,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s405, s406)) | node14(s405, s406))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32396,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s405, s406)) | node14(s405, s406)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32395, 32394])).
% 17.82/12.64 tff(32397,plain,
% 17.82/12.64 (node14(s405, s406)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32396, 46, 32373])).
% 17.82/12.64 tff(32398,plain,
% 17.82/12.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | (~node14(s405, s406)) | m_main_v_state2(s406, 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(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | (~node14(s405, s406)) | m_main_v_state2(s406, c_t2))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32399,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | (~node14(s405, s406)) | m_main_v_state2(s406, c_t2))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32400,plain,
% 17.82/12.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | (~node14(s405, s406)) | m_main_v_state2(s406, c_t2)),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32399, 32398])).
% 17.82/12.64 tff(32401,plain,
% 17.82/12.64 ((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_state2(s406, c_t2)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32400, 922, 32397])).
% 17.82/12.64 tff(32402,plain,
% 17.82/12.64 (m_main_v_state2(s406, c_t2)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32401, 32322, 32358])).
% 17.82/12.64 tff(32403,plain,
% 17.82/12.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s406, c_n2)) | (~m_main_v_state2(s406, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s406, c_n2)) | (~m_main_v_state2(s406, c_t2)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32404,plain,
% 17.82/12.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s406, c_n2)) | (~m_main_v_state2(s406, c_t2)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32405,plain,
% 17.82/12.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s406, c_n2)) | (~m_main_v_state2(s406, c_t2))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32404, 32403])).
% 17.82/12.64 tff(32406,plain,
% 17.82/12.64 (~m_main_v_state2(s406, c_n2)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32405, 77, 32402])).
% 17.82/12.64 tff(32407,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s406, c_n2) | (~node8(s406)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s406, c_n2) | (~node8(s406)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32408,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s406, c_n2) | (~node8(s406)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32409,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s406, c_n2) | (~node8(s406))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32408, 32407])).
% 17.82/12.64 tff(32410,plain,
% 17.82/12.64 (~node8(s406)),
% 17.82/12.64 inference(unit_resolution,[status(thm)],[32409, 271, 32406])).
% 17.82/12.64 tff(32411,plain,
% 17.82/12.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s406, c_n2) | (~node9(s406)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s406, c_n2) | (~node9(s406)))),
% 17.82/12.64 inference(rewrite,[status(thm)],[])).
% 17.82/12.64 tff(32412,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s406, c_n2) | (~node9(s406)))),
% 17.82/12.64 inference(quant_inst,[status(thm)],[])).
% 17.82/12.64 tff(32413,plain,
% 17.82/12.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s406, c_n2) | (~node9(s406))),
% 17.82/12.64 inference(modus_ponens,[status(thm)],[32412, 32411])).
% 17.82/12.65 tff(32414,plain,
% 17.82/12.65 (~node9(s406)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32413, 88, 32406])).
% 17.82/12.65 tff(32415,plain,
% 17.82/12.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s406, c_n2) | (~node10(s406)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s406, c_n2) | (~node10(s406)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32416,plain,
% 17.82/12.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s406, c_n2) | (~node10(s406)))),
% 17.82/12.65 inference(quant_inst,[status(thm)],[])).
% 17.82/12.65 tff(32417,plain,
% 17.82/12.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s406, c_n2) | (~node10(s406))),
% 17.82/12.65 inference(modus_ponens,[status(thm)],[32416, 32415])).
% 17.82/12.65 tff(32418,plain,
% 17.82/12.65 (~node10(s406)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32417, 249, 32406])).
% 17.82/12.65 tff(32419,plain,
% 17.82/12.65 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s406, c_t2)) | (~m_main_v_state2(s406, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s406, c_t2)) | (~m_main_v_state2(s406, c_c2)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32420,plain,
% 17.82/12.65 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s406, c_t2)) | (~m_main_v_state2(s406, c_c2)))),
% 17.82/12.65 inference(quant_inst,[status(thm)],[])).
% 17.82/12.65 tff(32421,plain,
% 17.82/12.65 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s406, c_t2)) | (~m_main_v_state2(s406, c_c2))),
% 17.82/12.65 inference(modus_ponens,[status(thm)],[32420, 32419])).
% 17.82/12.65 tff(32422,plain,
% 17.82/12.65 (~m_main_v_state2(s406, c_c2)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32421, 260, 32402])).
% 17.82/12.65 tff(32423,plain,
% 17.82/12.65 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s405, c_n2)) | (~m_main_v_state2(s405, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s405, c_n2)) | (~m_main_v_state2(s405, c_c2)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32424,plain,
% 17.82/12.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s405, c_n2)) | (~m_main_v_state2(s405, c_c2)))),
% 17.82/12.65 inference(quant_inst,[status(thm)],[])).
% 17.82/12.65 tff(32425,plain,
% 17.82/12.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s405, c_n2)) | (~m_main_v_state2(s405, c_c2))),
% 17.82/12.65 inference(modus_ponens,[status(thm)],[32424, 32423])).
% 17.82/12.65 tff(32426,plain,
% 17.82/12.65 (~m_main_v_state2(s405, c_c2)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32425, 697, 32358])).
% 17.82/12.65 tff(32427,plain,
% 17.82/12.65 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s405, c_c2) | (~node3(s405)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s405, c_c2) | (~node3(s405)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32428,plain,
% 17.82/12.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s405, c_c2) | (~node3(s405)))),
% 17.82/12.65 inference(quant_inst,[status(thm)],[])).
% 17.82/12.65 tff(32429,plain,
% 17.82/12.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s405, c_c2) | (~node3(s405))),
% 17.82/12.65 inference(modus_ponens,[status(thm)],[32428, 32427])).
% 17.82/12.65 tff(32430,plain,
% 17.82/12.65 (~node3(s405)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32429, 399, 32426])).
% 17.82/12.65 tff(32431,plain,
% 17.82/12.65 (((~![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(s404, c_n1) | (~m_main_v_state1(s405, c_n1)) | (~node6(s404, s405)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s404, c_n1) | (~m_main_v_state1(s405, c_n1)) | (~node6(s404, s405)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32432,plain,
% 17.82/12.65 (((~node6(s404, s405)) | m_main_v_state1(s404, c_n1) | (~m_main_v_state1(s405, c_n1))) <=> (m_main_v_state1(s404, c_n1) | (~m_main_v_state1(s405, c_n1)) | (~node6(s404, s405)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32433,plain,
% 17.82/12.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s404, s405)) | m_main_v_state1(s404, c_n1) | (~m_main_v_state1(s405, 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(s404, c_n1) | (~m_main_v_state1(s405, c_n1)) | (~node6(s404, s405))))),
% 17.82/12.65 inference(monotonicity,[status(thm)],[32432])).
% 17.82/12.65 tff(32434,plain,
% 17.82/12.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s404, s405)) | m_main_v_state1(s404, c_n1) | (~m_main_v_state1(s405, 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(s404, c_n1) | (~m_main_v_state1(s405, c_n1)) | (~node6(s404, s405)))),
% 17.82/12.65 inference(transitivity,[status(thm)],[32433, 32431])).
% 17.82/12.65 tff(32435,plain,
% 17.82/12.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s404, s405)) | m_main_v_state1(s404, c_n1) | (~m_main_v_state1(s405, c_n1)))),
% 17.82/12.65 inference(quant_inst,[status(thm)],[])).
% 17.82/12.65 tff(32436,plain,
% 17.82/12.65 ((~![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(s404, c_n1) | (~m_main_v_state1(s405, c_n1)) | (~node6(s404, s405))),
% 17.82/12.65 inference(modus_ponens,[status(thm)],[32435, 32434])).
% 17.82/12.65 tff(32437,plain,
% 17.82/12.65 (~m_main_v_state1(s405, c_n1)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32436, 835, 32230, 32315])).
% 17.82/12.65 tff(32438,plain,
% 17.82/12.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s405, c_n1) | (~node2(s405)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s405, c_n1) | (~node2(s405)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32439,plain,
% 17.82/12.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s405, c_n1) | (~node2(s405)))),
% 17.82/12.65 inference(quant_inst,[status(thm)],[])).
% 17.82/12.65 tff(32440,plain,
% 17.82/12.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s405, c_n1) | (~node2(s405))),
% 17.82/12.65 inference(modus_ponens,[status(thm)],[32439, 32438])).
% 17.82/12.65 tff(32441,plain,
% 17.82/12.65 (~node2(s405)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32440, 787, 32437])).
% 17.82/12.65 tff(32442,plain,
% 17.82/12.65 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s405, c_t2) | (~node1(s405)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s405, c_t2) | (~node1(s405)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32443,plain,
% 17.82/12.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s405, c_t2) | (~node1(s405)))),
% 17.82/12.65 inference(quant_inst,[status(thm)],[])).
% 17.82/12.65 tff(32444,plain,
% 17.82/12.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s405, c_t2) | (~node1(s405))),
% 17.82/12.65 inference(modus_ponens,[status(thm)],[32443, 32442])).
% 17.82/12.65 tff(32445,plain,
% 17.82/12.65 (~node1(s405)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32444, 195, 32362])).
% 17.82/12.65 tff(32446,plain,
% 17.82/12.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s405, s406)) | node7(s405, s406))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s405, s406)) | node7(s405, s406))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32447,plain,
% 17.82/12.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s405, s406)) | node7(s405, s406))),
% 17.82/12.65 inference(quant_inst,[status(thm)],[])).
% 17.82/12.65 tff(32448,plain,
% 17.82/12.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s405, s406)) | node7(s405, s406)),
% 17.82/12.65 inference(modus_ponens,[status(thm)],[32447, 32446])).
% 17.82/12.65 tff(32449,plain,
% 17.82/12.65 (node7(s405, s406)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32448, 206, 32373])).
% 17.82/12.65 tff(32450,plain,
% 17.82/12.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_state1(s406, c_c1) | node1(s405) | node2(s405) | node3(s405) | (~node7(s405, s406)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_state1(s406, c_c1) | node1(s405) | node2(s405) | node3(s405) | (~node7(s405, s406)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32451,plain,
% 17.82/12.65 (((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | node1(s405) | node2(s405) | node3(s405) | (~node7(s405, s406)) | m_main_v_state1(s406, c_c1)) <=> ((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_state1(s406, c_c1) | node1(s405) | node2(s405) | node3(s405) | (~node7(s405, s406)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32452,plain,
% 17.82/12.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | node1(s405) | node2(s405) | node3(s405) | (~node7(s405, s406)) | m_main_v_state1(s406, 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(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_state1(s406, c_c1) | node1(s405) | node2(s405) | node3(s405) | (~node7(s405, s406))))),
% 17.82/12.65 inference(monotonicity,[status(thm)],[32451])).
% 17.82/12.65 tff(32453,plain,
% 17.82/12.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | node1(s405) | node2(s405) | node3(s405) | (~node7(s405, s406)) | m_main_v_state1(s406, 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(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_state1(s406, c_c1) | node1(s405) | node2(s405) | node3(s405) | (~node7(s405, s406)))),
% 17.82/12.65 inference(transitivity,[status(thm)],[32452, 32450])).
% 17.82/12.65 tff(32454,plain,
% 17.82/12.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | node1(s405) | node2(s405) | node3(s405) | (~node7(s405, s406)) | m_main_v_state1(s406, c_c1))),
% 17.82/12.65 inference(quant_inst,[status(thm)],[])).
% 17.82/12.65 tff(32455,plain,
% 17.82/12.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_state1(s406, c_c1) | node1(s405) | node2(s405) | node3(s405) | (~node7(s405, s406))),
% 17.82/12.65 inference(modus_ponens,[status(thm)],[32454, 32453])).
% 17.82/12.65 tff(32456,plain,
% 17.82/12.65 ((~m_main_v_state1(s405, c_t1)) | (~m_main_v_state2(s405, c_n2)) | m_main_v_state1(s406, c_c1) | node1(s405) | node2(s405) | node3(s405)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32455, 892, 32449])).
% 17.82/12.65 tff(32457,plain,
% 17.82/12.65 (m_main_v_state1(s406, c_c1)),
% 17.82/12.65 inference(unit_resolution,[status(thm)],[32456, 32445, 32358, 32322, 32441, 32430])).
% 17.82/12.65 tff(32458,plain,
% 17.82/12.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s406, c_n1)) | (~m_main_v_state1(s406, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s406, c_n1)) | (~m_main_v_state1(s406, c_c1)))),
% 17.82/12.65 inference(rewrite,[status(thm)],[])).
% 17.82/12.65 tff(32459,plain,
% 17.82/12.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s406, c_n1)) | (~m_main_v_state1(s406, c_c1)))),
% 17.82/12.65 inference(quant_inst,[status(thm)],[])).
% 17.82/12.65 tff(32460,plain,
% 17.82/12.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s406, c_n1)) | (~m_main_v_state1(s406, c_c1))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32459, 32458])).
% 17.85/12.65 tff(32461,plain,
% 17.85/12.65 (~m_main_v_state1(s406, c_n1)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32460, 454, 32457])).
% 17.85/12.65 tff(32462,plain,
% 17.85/12.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s406, c_n1) | (~node11(s406)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s406, c_n1) | (~node11(s406)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32463,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s406, c_n1) | (~node11(s406)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32464,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s406, c_n1) | (~node11(s406))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32463, 32462])).
% 17.85/12.65 tff(32465,plain,
% 17.85/12.65 (~node11(s406)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32464, 238, 32461])).
% 17.85/12.65 tff(32466,plain,
% 17.85/12.65 (succ(s406, s407) <=> succ(s406, s407)),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32467,axiom,(succ(s406, s407)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound407')).
% 17.85/12.65 tff(32468,plain,
% 17.85/12.65 (succ(s406, s407)),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32467, 32466])).
% 17.85/12.65 tff(32469,plain,
% 17.85/12.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s406, s407)) | trans(s406, s407))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s406, s407)) | trans(s406, s407))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32470,plain,
% 17.85/12.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s406, s407)) | trans(s406, s407))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32471,plain,
% 17.85/12.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s406, s407)) | trans(s406, s407)),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32470, 32469])).
% 17.85/12.65 tff(32472,plain,
% 17.85/12.65 (trans(s406, s407)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32471, 32468, 32])).
% 17.85/12.65 tff(32473,plain,
% 17.85/12.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s406, s407)) | node14(s406, s407))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s406, s407)) | node14(s406, s407))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32474,plain,
% 17.85/12.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s406, s407)) | node14(s406, s407))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32475,plain,
% 17.85/12.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s406, s407)) | node14(s406, s407)),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32474, 32473])).
% 17.85/12.65 tff(32476,plain,
% 17.85/12.65 (node14(s406, s407)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32475, 46, 32472])).
% 17.85/12.65 tff(32477,plain,
% 17.85/12.65 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s406, c_c2) | node9(s406) | node8(s406) | node10(s406) | node11(s406) | node12(s406) | node13(s406, s407) | (~node14(s406, s407)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s406, c_c2) | node9(s406) | node8(s406) | node10(s406) | node11(s406) | node12(s406) | node13(s406, s407) | (~node14(s406, s407)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32478,plain,
% 17.85/12.65 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s406, c_c2) | node9(s406) | node8(s406) | node10(s406) | node11(s406) | node12(s406) | node13(s406, s407) | (~node14(s406, s407)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32479,plain,
% 17.85/12.65 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s406, c_c2) | node9(s406) | node8(s406) | node10(s406) | node11(s406) | node12(s406) | node13(s406, s407) | (~node14(s406, s407))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32478, 32477])).
% 17.85/12.65 tff(32480,plain,
% 17.85/12.65 (m_main_v_state2(s406, c_c2) | node9(s406) | node8(s406) | node10(s406) | node11(s406) | node12(s406) | node13(s406, s407)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32479, 296, 32476])).
% 17.85/12.65 tff(32481,plain,
% 17.85/12.65 (node13(s406, s407)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32480, 32465, 32422, 32418, 32414, 32410, 32393])).
% 17.85/12.65 tff(32482,plain,
% 17.85/12.65 (((~![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(s406, c_n2) | (~m_main_v_state2(s407, c_n2)) | (~node13(s406, s407)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s406, c_n2) | (~m_main_v_state2(s407, c_n2)) | (~node13(s406, s407)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32483,plain,
% 17.85/12.65 (((~node13(s406, s407)) | m_main_v_state2(s406, c_n2) | (~m_main_v_state2(s407, c_n2))) <=> (m_main_v_state2(s406, c_n2) | (~m_main_v_state2(s407, c_n2)) | (~node13(s406, s407)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32484,plain,
% 17.85/12.65 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s406, s407)) | m_main_v_state2(s406, c_n2) | (~m_main_v_state2(s407, 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(s406, c_n2) | (~m_main_v_state2(s407, c_n2)) | (~node13(s406, s407))))),
% 17.85/12.65 inference(monotonicity,[status(thm)],[32483])).
% 17.85/12.65 tff(32485,plain,
% 17.85/12.65 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s406, s407)) | m_main_v_state2(s406, c_n2) | (~m_main_v_state2(s407, 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(s406, c_n2) | (~m_main_v_state2(s407, c_n2)) | (~node13(s406, s407)))),
% 17.85/12.65 inference(transitivity,[status(thm)],[32484, 32482])).
% 17.85/12.65 tff(32486,plain,
% 17.85/12.65 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s406, s407)) | m_main_v_state2(s406, c_n2) | (~m_main_v_state2(s407, c_n2)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32487,plain,
% 17.85/12.65 ((~![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(s406, c_n2) | (~m_main_v_state2(s407, c_n2)) | (~node13(s406, s407))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32486, 32485])).
% 17.85/12.65 tff(32488,plain,
% 17.85/12.65 (~m_main_v_state2(s407, c_n2)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32487, 311, 32406, 32481])).
% 17.85/12.65 tff(32489,plain,
% 17.85/12.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s407, c_n2) | (~node9(s407)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s407, c_n2) | (~node9(s407)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32490,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s407, c_n2) | (~node9(s407)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32491,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s407, c_n2) | (~node9(s407))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32490, 32489])).
% 17.85/12.65 tff(32492,plain,
% 17.85/12.65 (~node9(s407)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32491, 88, 32488])).
% 17.85/12.65 tff(32493,plain,
% 17.85/12.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s407, c_n2) | (~node10(s407)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s407, c_n2) | (~node10(s407)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32494,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s407, c_n2) | (~node10(s407)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32495,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s407, c_n2) | (~node10(s407))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32494, 32493])).
% 17.85/12.65 tff(32496,plain,
% 17.85/12.65 (~node10(s407)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32495, 249, 32488])).
% 17.85/12.65 tff(32497,plain,
% 17.85/12.65 (((~![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(s406, c_t2)) | m_main_v_state2(s407, c_t2) | (~node13(s406, s407)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s406, c_t2)) | m_main_v_state2(s407, c_t2) | (~node13(s406, s407)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32498,plain,
% 17.85/12.65 (((~node13(s406, s407)) | (~m_main_v_state2(s406, c_t2)) | m_main_v_state2(s407, c_t2)) <=> ((~m_main_v_state2(s406, c_t2)) | m_main_v_state2(s407, c_t2) | (~node13(s406, s407)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32499,plain,
% 17.85/12.65 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s406, s407)) | (~m_main_v_state2(s406, c_t2)) | m_main_v_state2(s407, 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(s406, c_t2)) | m_main_v_state2(s407, c_t2) | (~node13(s406, s407))))),
% 17.85/12.65 inference(monotonicity,[status(thm)],[32498])).
% 17.85/12.65 tff(32500,plain,
% 17.85/12.65 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s406, s407)) | (~m_main_v_state2(s406, c_t2)) | m_main_v_state2(s407, 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(s406, c_t2)) | m_main_v_state2(s407, c_t2) | (~node13(s406, s407)))),
% 17.85/12.65 inference(transitivity,[status(thm)],[32499, 32497])).
% 17.85/12.65 tff(32501,plain,
% 17.85/12.65 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s406, s407)) | (~m_main_v_state2(s406, c_t2)) | m_main_v_state2(s407, c_t2))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32502,plain,
% 17.85/12.65 ((~![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(s406, c_t2)) | m_main_v_state2(s407, c_t2) | (~node13(s406, s407))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32501, 32500])).
% 17.85/12.65 tff(32503,plain,
% 17.85/12.65 (m_main_v_state2(s407, c_t2)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32502, 518, 32402, 32481])).
% 17.85/12.65 tff(32504,plain,
% 17.85/12.65 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s406, c_t1)) | (~m_main_v_state1(s406, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s406, c_t1)) | (~m_main_v_state1(s406, c_c1)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32505,plain,
% 17.85/12.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s406, c_t1)) | (~m_main_v_state1(s406, c_c1)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32506,plain,
% 17.85/12.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s406, c_t1)) | (~m_main_v_state1(s406, c_c1))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32505, 32504])).
% 17.85/12.65 tff(32507,plain,
% 17.85/12.65 (~m_main_v_state1(s406, c_t1)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32506, 539, 32457])).
% 17.85/12.65 tff(32508,plain,
% 17.85/12.65 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s406, c_t1) | (~node5(s406)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s406, c_t1) | (~node5(s406)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32509,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s406, c_t1) | (~node5(s406)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32510,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s406, c_t1) | (~node5(s406))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32509, 32508])).
% 17.85/12.65 tff(32511,plain,
% 17.85/12.65 (~node5(s406)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32510, 550, 32507])).
% 17.85/12.65 tff(32512,plain,
% 17.85/12.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s406, c_n2) | (~node4(s406)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s406, c_n2) | (~node4(s406)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32513,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s406, c_n2) | (~node4(s406)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32514,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s406, c_n2) | (~node4(s406))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32513, 32512])).
% 17.85/12.65 tff(32515,plain,
% 17.85/12.65 (~node4(s406)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32514, 388, 32406])).
% 17.85/12.65 tff(32516,plain,
% 17.85/12.65 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s406, c_c2) | (~node3(s406)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s406, c_c2) | (~node3(s406)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32517,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s406, c_c2) | (~node3(s406)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32518,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s406, c_c2) | (~node3(s406))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32517, 32516])).
% 17.85/12.65 tff(32519,plain,
% 17.85/12.65 (~node3(s406)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32518, 399, 32422])).
% 17.85/12.65 tff(32520,plain,
% 17.85/12.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s406, c_n2) | (~node2(s406)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s406, c_n2) | (~node2(s406)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32521,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s406, c_n2) | (~node2(s406)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32522,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s406, c_n2) | (~node2(s406))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32521, 32520])).
% 17.85/12.65 tff(32523,plain,
% 17.85/12.65 (~node2(s406)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32522, 410, 32406])).
% 17.85/12.65 tff(32524,plain,
% 17.85/12.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s406, c_n1) | (~node1(s406)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s406, c_n1) | (~node1(s406)))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32525,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s406, c_n1) | (~node1(s406)))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32526,plain,
% 17.85/12.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s406, c_n1) | (~node1(s406))),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32525, 32524])).
% 17.85/12.65 tff(32527,plain,
% 17.85/12.65 (~node1(s406)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32526, 421, 32461])).
% 17.85/12.65 tff(32528,plain,
% 17.85/12.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s406, s407)) | node7(s406, s407))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s406, s407)) | node7(s406, s407))),
% 17.85/12.65 inference(rewrite,[status(thm)],[])).
% 17.85/12.65 tff(32529,plain,
% 17.85/12.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s406, s407)) | node7(s406, s407))),
% 17.85/12.65 inference(quant_inst,[status(thm)],[])).
% 17.85/12.65 tff(32530,plain,
% 17.85/12.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s406, s407)) | node7(s406, s407)),
% 17.85/12.65 inference(modus_ponens,[status(thm)],[32529, 32528])).
% 17.85/12.65 tff(32531,plain,
% 17.85/12.65 (node7(s406, s407)),
% 17.85/12.65 inference(unit_resolution,[status(thm)],[32530, 206, 32472])).
% 17.85/12.65 tff(32532,plain,
% 17.85/12.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s407, c_n1) | (~m_main_v_state1(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406) | (~node7(s406, s407)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s407, c_n1) | (~m_main_v_state1(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406) | (~node7(s406, s407)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32533,plain,
% 17.85/12.66 (((~m_main_v_state1(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406) | (~node7(s406, s407)) | m_main_v_state1(s407, c_n1)) <=> (m_main_v_state1(s407, c_n1) | (~m_main_v_state1(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406) | (~node7(s406, s407)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32534,plain,
% 17.85/12.66 (((~![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(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406) | (~node7(s406, s407)) | m_main_v_state1(s407, 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(s407, c_n1) | (~m_main_v_state1(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406) | (~node7(s406, s407))))),
% 17.85/12.66 inference(monotonicity,[status(thm)],[32533])).
% 17.85/12.66 tff(32535,plain,
% 17.85/12.66 (((~![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(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406) | (~node7(s406, s407)) | m_main_v_state1(s407, 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(s407, c_n1) | (~m_main_v_state1(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406) | (~node7(s406, s407)))),
% 17.85/12.66 inference(transitivity,[status(thm)],[32534, 32532])).
% 17.85/12.66 tff(32536,plain,
% 17.85/12.66 ((~![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(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406) | (~node7(s406, s407)) | m_main_v_state1(s407, c_n1))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32537,plain,
% 17.85/12.66 ((~![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(s407, c_n1) | (~m_main_v_state1(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406) | (~node7(s406, s407))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32536, 32535])).
% 17.85/12.66 tff(32538,plain,
% 17.85/12.66 (m_main_v_state1(s407, c_n1) | (~m_main_v_state1(s406, c_c1)) | node1(s406) | node2(s406) | node3(s406) | node4(s406) | node5(s406)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32537, 584, 32531])).
% 17.85/12.66 tff(32539,plain,
% 17.85/12.66 (m_main_v_state1(s407, c_n1)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32538, 32527, 32457, 32523, 32519, 32515, 32511])).
% 17.85/12.66 tff(32540,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s407, c_n2) | (~node8(s407)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s407, c_n2) | (~node8(s407)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32541,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s407, c_n2) | (~node8(s407)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32542,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s407, c_n2) | (~node8(s407))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32541, 32540])).
% 17.85/12.66 tff(32543,plain,
% 17.85/12.66 (~node8(s407)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32542, 271, 32488])).
% 17.85/12.66 tff(32544,plain,
% 17.85/12.66 (succ(s407, s408) <=> succ(s407, s408)),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32545,axiom,(succ(s407, s408)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound408')).
% 17.85/12.66 tff(32546,plain,
% 17.85/12.66 (succ(s407, s408)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32545, 32544])).
% 17.85/12.66 tff(32547,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s407, s408)) | trans(s407, s408))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s407, s408)) | trans(s407, s408))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32548,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s407, s408)) | trans(s407, s408))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32549,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s407, s408)) | trans(s407, s408)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32548, 32547])).
% 17.85/12.66 tff(32550,plain,
% 17.85/12.66 (trans(s407, s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32549, 32546, 32])).
% 17.85/12.66 tff(32551,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s407, s408)) | node14(s407, s408))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s407, s408)) | node14(s407, s408))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32552,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s407, s408)) | node14(s407, s408))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32553,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s407, s408)) | node14(s407, s408)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32552, 32551])).
% 17.85/12.66 tff(32554,plain,
% 17.85/12.66 (node14(s407, s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32553, 46, 32550])).
% 17.85/12.66 tff(32555,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | node9(s407) | node8(s407) | node10(s407) | (~node14(s407, s408)) | m_main_v_state2(s408, 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(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | node9(s407) | node8(s407) | node10(s407) | (~node14(s407, s408)) | m_main_v_state2(s408, c_c2))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32556,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | node9(s407) | node8(s407) | node10(s407) | (~node14(s407, s408)) | m_main_v_state2(s408, c_c2))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32557,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | node9(s407) | node8(s407) | node10(s407) | (~node14(s407, s408)) | m_main_v_state2(s408, c_c2)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32556, 32555])).
% 17.85/12.66 tff(32558,plain,
% 17.85/12.66 ((~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | node9(s407) | node8(s407) | node10(s407) | m_main_v_state2(s408, c_c2)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32557, 617, 32554])).
% 17.85/12.66 tff(32559,plain,
% 17.85/12.66 (m_main_v_state2(s408, c_c2)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32558, 32543, 32539, 32503, 32496, 32492])).
% 17.85/12.66 tff(32560,plain,
% 17.85/12.66 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s408, c_t2)) | (~m_main_v_state2(s408, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s408, c_t2)) | (~m_main_v_state2(s408, c_c2)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32561,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s408, c_t2)) | (~m_main_v_state2(s408, c_c2)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32562,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s408, c_t2)) | (~m_main_v_state2(s408, c_c2))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32561, 32560])).
% 17.85/12.66 tff(32563,plain,
% 17.85/12.66 (~m_main_v_state2(s408, c_t2)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32562, 260, 32559])).
% 17.85/12.66 tff(32564,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s408, c_t2) | (~node12(s408)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s408, c_t2) | (~node12(s408)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32565,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s408, c_t2) | (~node12(s408)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32566,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s408, c_t2) | (~node12(s408))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32565, 32564])).
% 17.85/12.66 tff(32567,plain,
% 17.85/12.66 (~node12(s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32566, 633, 32563])).
% 17.85/12.66 tff(32568,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s407, s408)) | node7(s407, s408))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s407, s408)) | node7(s407, s408))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32569,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s407, s408)) | node7(s407, s408))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32570,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s407, s408)) | node7(s407, s408)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32569, 32568])).
% 17.85/12.66 tff(32571,plain,
% 17.85/12.66 (node7(s407, s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32570, 206, 32550])).
% 17.85/12.66 tff(32572,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | (~node7(s407, s408)) | m_main_v_state1(s408, 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(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | (~node7(s407, s408)) | m_main_v_state1(s408, c_t1))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32573,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | (~node7(s407, s408)) | m_main_v_state1(s408, c_t1))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32574,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | (~node7(s407, s408)) | m_main_v_state1(s408, c_t1)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32573, 32572])).
% 17.85/12.66 tff(32575,plain,
% 17.85/12.66 ((~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | m_main_v_state1(s408, c_t1)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32574, 651, 32571])).
% 17.85/12.66 tff(32576,plain,
% 17.85/12.66 (m_main_v_state1(s408, c_t1)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32575, 32503, 32539])).
% 17.85/12.66 tff(32577,plain,
% 17.85/12.66 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s408, c_n1)) | (~m_main_v_state1(s408, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s408, c_n1)) | (~m_main_v_state1(s408, c_t1)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32578,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s408, c_n1)) | (~m_main_v_state1(s408, c_t1)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32579,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s408, c_n1)) | (~m_main_v_state1(s408, c_t1))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32578, 32577])).
% 17.85/12.66 tff(32580,plain,
% 17.85/12.66 (~m_main_v_state1(s408, c_n1)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32579, 10, 32576])).
% 17.85/12.66 tff(32581,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s408, c_n1) | (~node11(s408)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s408, c_n1) | (~node11(s408)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32582,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s408, c_n1) | (~node11(s408)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32583,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s408, c_n1) | (~node11(s408))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32582, 32581])).
% 17.85/12.66 tff(32584,plain,
% 17.85/12.66 (~node11(s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32583, 238, 32580])).
% 17.85/12.66 tff(32585,plain,
% 17.85/12.66 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s408, c_t1)) | (~m_main_v_state1(s408, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s408, c_t1)) | (~m_main_v_state1(s408, c_c1)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32586,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s408, c_t1)) | (~m_main_v_state1(s408, c_c1)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32587,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s408, c_t1)) | (~m_main_v_state1(s408, c_c1))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32586, 32585])).
% 17.85/12.66 tff(32588,plain,
% 17.85/12.66 (~m_main_v_state1(s408, c_c1)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32587, 539, 32576])).
% 17.85/12.66 tff(32589,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s408, c_c1) | (~node10(s408)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s408, c_c1) | (~node10(s408)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32590,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s408, c_c1) | (~node10(s408)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32591,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s408, c_c1) | (~node10(s408))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32590, 32589])).
% 17.85/12.66 tff(32592,plain,
% 17.85/12.66 (~node10(s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32591, 675, 32588])).
% 17.85/12.66 tff(32593,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s408, c_n1) | (~node9(s408)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s408, c_n1) | (~node9(s408)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32594,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s408, c_n1) | (~node9(s408)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32595,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s408, c_n1) | (~node9(s408))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32594, 32593])).
% 17.85/12.66 tff(32596,plain,
% 17.85/12.66 (~node9(s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32595, 686, 32580])).
% 17.85/12.66 tff(32597,plain,
% 17.85/12.66 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s408, c_n2)) | (~m_main_v_state2(s408, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s408, c_n2)) | (~m_main_v_state2(s408, c_c2)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32598,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s408, c_n2)) | (~m_main_v_state2(s408, c_c2)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32599,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s408, c_n2)) | (~m_main_v_state2(s408, c_c2))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32598, 32597])).
% 17.85/12.66 tff(32600,plain,
% 17.85/12.66 (~m_main_v_state2(s408, c_n2)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32599, 697, 32559])).
% 17.85/12.66 tff(32601,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s408, c_n2) | (~node8(s408)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s408, c_n2) | (~node8(s408)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32602,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s408, c_n2) | (~node8(s408)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32603,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s408, c_n2) | (~node8(s408))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32602, 32601])).
% 17.85/12.66 tff(32604,plain,
% 17.85/12.66 (~node8(s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32603, 271, 32600])).
% 17.85/12.66 tff(32605,plain,
% 17.85/12.66 (succ(s408, s409) <=> succ(s408, s409)),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32606,axiom,(succ(s408, s409)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound409')).
% 17.85/12.66 tff(32607,plain,
% 17.85/12.66 (succ(s408, s409)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32606, 32605])).
% 17.85/12.66 tff(32608,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s408, s409)) | trans(s408, s409))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s408, s409)) | trans(s408, s409))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32609,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s408, s409)) | trans(s408, s409))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32610,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s408, s409)) | trans(s408, s409)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32609, 32608])).
% 17.85/12.66 tff(32611,plain,
% 17.85/12.66 (trans(s408, s409)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32610, 32607, 32])).
% 17.85/12.66 tff(32612,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s408, s409)) | node14(s408, s409))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s408, s409)) | node14(s408, s409))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32613,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s408, s409)) | node14(s408, s409))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32614,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s408, s409)) | node14(s408, s409)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32613, 32612])).
% 17.85/12.66 tff(32615,plain,
% 17.85/12.66 (node14(s408, s409)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32614, 46, 32611])).
% 17.85/12.66 tff(32616,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s409, c_n2) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~node14(s408, s409)) | (~m_main_v_state2(s408, 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(s409, c_n2) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~node14(s408, s409)) | (~m_main_v_state2(s408, c_c2)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32617,plain,
% 17.85/12.66 (((~m_main_v_state2(s408, c_c2)) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~node14(s408, s409)) | m_main_v_state2(s409, c_n2)) <=> (m_main_v_state2(s409, c_n2) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~node14(s408, s409)) | (~m_main_v_state2(s408, c_c2)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32618,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s408, c_c2)) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~node14(s408, s409)) | m_main_v_state2(s409, 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(s409, c_n2) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~node14(s408, s409)) | (~m_main_v_state2(s408, c_c2))))),
% 17.85/12.66 inference(monotonicity,[status(thm)],[32617])).
% 17.85/12.66 tff(32619,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s408, c_c2)) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~node14(s408, s409)) | m_main_v_state2(s409, 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(s409, c_n2) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~node14(s408, s409)) | (~m_main_v_state2(s408, c_c2)))),
% 17.85/12.66 inference(transitivity,[status(thm)],[32618, 32616])).
% 17.85/12.66 tff(32620,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s408, c_c2)) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~node14(s408, s409)) | m_main_v_state2(s409, c_n2))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32621,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s409, c_n2) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~node14(s408, s409)) | (~m_main_v_state2(s408, c_c2))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32620, 32619])).
% 17.85/12.66 tff(32622,plain,
% 17.85/12.66 (m_main_v_state2(s409, c_n2) | node9(s408) | node8(s408) | node10(s408) | node11(s408) | node12(s408) | (~m_main_v_state2(s408, c_c2))),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32621, 726, 32615])).
% 17.85/12.66 tff(32623,plain,
% 17.85/12.66 (m_main_v_state2(s409, c_n2)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32622, 32604, 32559, 32596, 32592, 32584, 32567])).
% 17.85/12.66 tff(32624,plain,
% 17.85/12.66 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s409, c_n2)) | (~m_main_v_state2(s409, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s409, c_n2)) | (~m_main_v_state2(s409, c_c2)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32625,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s409, c_n2)) | (~m_main_v_state2(s409, c_c2)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32626,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s409, c_n2)) | (~m_main_v_state2(s409, c_c2))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32625, 32624])).
% 17.85/12.66 tff(32627,plain,
% 17.85/12.66 (~m_main_v_state2(s409, c_c2)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32626, 697, 32623])).
% 17.85/12.66 tff(32628,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s409, c_c2) | (~node3(s409)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s409, c_c2) | (~node3(s409)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32629,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s409, c_c2) | (~node3(s409)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32630,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s409, c_c2) | (~node3(s409))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32629, 32628])).
% 17.85/12.66 tff(32631,plain,
% 17.85/12.66 (~node3(s409)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32630, 399, 32627])).
% 17.85/12.66 tff(32632,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s408, c_n1) | (~node1(s408)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s408, c_n1) | (~node1(s408)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32633,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s408, c_n1) | (~node1(s408)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32634,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s408, c_n1) | (~node1(s408))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32633, 32632])).
% 17.85/12.66 tff(32635,plain,
% 17.85/12.66 (~node1(s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32634, 421, 32580])).
% 17.85/12.66 tff(32636,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s407, s408)) | node18(s407, s408))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s407, s408)) | node18(s407, s408))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32637,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s407, s408)) | node18(s407, s408))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32638,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s407, s408)) | node18(s407, s408)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32637, 32636])).
% 17.85/12.66 tff(32639,plain,
% 17.85/12.66 (node18(s407, s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32638, 125, 32550])).
% 17.85/12.66 tff(32640,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | (~node18(s407, s408)) | m_main_v_turn(s408, 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(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | (~node18(s407, s408)) | m_main_v_turn(s408, c_2))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32641,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | (~node18(s407, s408)) | m_main_v_turn(s408, c_2))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32642,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | (~node18(s407, s408)) | m_main_v_turn(s408, c_2)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32641, 32640])).
% 17.85/12.66 tff(32643,plain,
% 17.85/12.66 ((~m_main_v_state1(s407, c_n1)) | (~m_main_v_state2(s407, c_t2)) | m_main_v_turn(s408, c_2)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32642, 760, 32639])).
% 17.85/12.66 tff(32644,plain,
% 17.85/12.66 (m_main_v_turn(s408, c_2)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32643, 32503, 32539])).
% 17.85/12.66 tff(32645,plain,
% 17.85/12.66 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s408, c_1)) | (~m_main_v_turn(s408, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s408, c_1)) | (~m_main_v_turn(s408, c_2)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32646,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s408, c_1)) | (~m_main_v_turn(s408, c_2)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32647,plain,
% 17.85/12.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s408, c_1)) | (~m_main_v_turn(s408, c_2))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32646, 32645])).
% 17.85/12.66 tff(32648,plain,
% 17.85/12.66 (~m_main_v_turn(s408, c_1)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32647, 156, 32644])).
% 17.85/12.66 tff(32649,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s408, c_1) | (~node5(s408)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s408, c_1) | (~node5(s408)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32650,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s408, c_1) | (~node5(s408)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32651,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s408, c_1) | (~node5(s408))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32650, 32649])).
% 17.85/12.66 tff(32652,plain,
% 17.85/12.66 (~node5(s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32651, 776, 32648])).
% 17.85/12.66 tff(32653,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s408, c_n1) | (~node2(s408)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s408, c_n1) | (~node2(s408)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32654,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s408, c_n1) | (~node2(s408)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32655,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s408, c_n1) | (~node2(s408))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32654, 32653])).
% 17.85/12.66 tff(32656,plain,
% 17.85/12.66 (~node2(s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32655, 787, 32580])).
% 17.85/12.66 tff(32657,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s408, c_n1) | (~node3(s408)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s408, c_n1) | (~node3(s408)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32658,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s408, c_n1) | (~node3(s408)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32659,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s408, c_n1) | (~node3(s408))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32658, 32657])).
% 17.85/12.66 tff(32660,plain,
% 17.85/12.66 (~node3(s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32659, 798, 32580])).
% 17.85/12.66 tff(32661,plain,
% 17.85/12.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s408, c_n2) | (~node4(s408)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s408, c_n2) | (~node4(s408)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32662,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s408, c_n2) | (~node4(s408)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32663,plain,
% 17.85/12.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s408, c_n2) | (~node4(s408))),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32662, 32661])).
% 17.85/12.66 tff(32664,plain,
% 17.85/12.66 (~node4(s408)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32663, 388, 32600])).
% 17.85/12.66 tff(32665,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s408, s409)) | node7(s408, s409))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s408, s409)) | node7(s408, s409))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32666,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s408, s409)) | node7(s408, s409))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32667,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s408, s409)) | node7(s408, s409)),
% 17.85/12.66 inference(modus_ponens,[status(thm)],[32666, 32665])).
% 17.85/12.66 tff(32668,plain,
% 17.85/12.66 (node7(s408, s409)),
% 17.85/12.66 inference(unit_resolution,[status(thm)],[32667, 206, 32611])).
% 17.85/12.66 tff(32669,plain,
% 17.85/12.66 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s408, c_c1) | node1(s408) | node2(s408) | node3(s408) | node4(s408) | node5(s408) | node6(s408, s409) | (~node7(s408, s409)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s408, c_c1) | node1(s408) | node2(s408) | node3(s408) | node4(s408) | node5(s408) | node6(s408, s409) | (~node7(s408, s409)))),
% 17.85/12.66 inference(rewrite,[status(thm)],[])).
% 17.85/12.66 tff(32670,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s408, c_c1) | node1(s408) | node2(s408) | node3(s408) | node4(s408) | node5(s408) | node6(s408, s409) | (~node7(s408, s409)))),
% 17.85/12.66 inference(quant_inst,[status(thm)],[])).
% 17.85/12.66 tff(32671,plain,
% 17.85/12.66 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s408, c_c1) | node1(s408) | node2(s408) | node3(s408) | node4(s408) | node5(s408) | node6(s408, s409) | (~node7(s408, s409))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32670, 32669])).
% 17.85/12.67 tff(32672,plain,
% 17.85/12.67 (m_main_v_state1(s408, c_c1) | node1(s408) | node2(s408) | node3(s408) | node4(s408) | node5(s408) | node6(s408, s409)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32671, 820, 32668])).
% 17.85/12.67 tff(32673,plain,
% 17.85/12.67 (node6(s408, s409)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32672, 32664, 32588, 32660, 32656, 32652, 32635])).
% 17.85/12.67 tff(32674,plain,
% 17.85/12.67 (((~![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(s408, c_n1) | (~m_main_v_state1(s409, c_n1)) | (~node6(s408, s409)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s408, c_n1) | (~m_main_v_state1(s409, c_n1)) | (~node6(s408, s409)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32675,plain,
% 17.85/12.67 (((~node6(s408, s409)) | m_main_v_state1(s408, c_n1) | (~m_main_v_state1(s409, c_n1))) <=> (m_main_v_state1(s408, c_n1) | (~m_main_v_state1(s409, c_n1)) | (~node6(s408, s409)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32676,plain,
% 17.85/12.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s408, s409)) | m_main_v_state1(s408, c_n1) | (~m_main_v_state1(s409, 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(s408, c_n1) | (~m_main_v_state1(s409, c_n1)) | (~node6(s408, s409))))),
% 17.85/12.67 inference(monotonicity,[status(thm)],[32675])).
% 17.85/12.67 tff(32677,plain,
% 17.85/12.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s408, s409)) | m_main_v_state1(s408, c_n1) | (~m_main_v_state1(s409, 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(s408, c_n1) | (~m_main_v_state1(s409, c_n1)) | (~node6(s408, s409)))),
% 17.85/12.67 inference(transitivity,[status(thm)],[32676, 32674])).
% 17.85/12.67 tff(32678,plain,
% 17.85/12.67 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s408, s409)) | m_main_v_state1(s408, c_n1) | (~m_main_v_state1(s409, c_n1)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32679,plain,
% 17.85/12.67 ((~![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(s408, c_n1) | (~m_main_v_state1(s409, c_n1)) | (~node6(s408, s409))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32678, 32677])).
% 17.85/12.67 tff(32680,plain,
% 17.85/12.67 (~m_main_v_state1(s409, c_n1)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32679, 835, 32580, 32673])).
% 17.85/12.67 tff(32681,plain,
% 17.85/12.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s409, c_n1) | (~node2(s409)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s409, c_n1) | (~node2(s409)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32682,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s409, c_n1) | (~node2(s409)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32683,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s409, c_n1) | (~node2(s409))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32682, 32681])).
% 17.85/12.67 tff(32684,plain,
% 17.85/12.67 (~node2(s409)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32683, 787, 32680])).
% 17.85/12.67 tff(32685,plain,
% 17.85/12.67 (((~![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(s408, c_t1)) | m_main_v_state1(s409, c_t1) | (~node6(s408, s409)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s408, c_t1)) | m_main_v_state1(s409, c_t1) | (~node6(s408, s409)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32686,plain,
% 17.85/12.67 (((~node6(s408, s409)) | (~m_main_v_state1(s408, c_t1)) | m_main_v_state1(s409, c_t1)) <=> ((~m_main_v_state1(s408, c_t1)) | m_main_v_state1(s409, c_t1) | (~node6(s408, s409)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32687,plain,
% 17.85/12.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s408, s409)) | (~m_main_v_state1(s408, c_t1)) | m_main_v_state1(s409, 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(s408, c_t1)) | m_main_v_state1(s409, c_t1) | (~node6(s408, s409))))),
% 17.85/12.67 inference(monotonicity,[status(thm)],[32686])).
% 17.85/12.67 tff(32688,plain,
% 17.85/12.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s408, s409)) | (~m_main_v_state1(s408, c_t1)) | m_main_v_state1(s409, 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(s408, c_t1)) | m_main_v_state1(s409, c_t1) | (~node6(s408, s409)))),
% 17.85/12.67 inference(transitivity,[status(thm)],[32687, 32685])).
% 17.85/12.67 tff(32689,plain,
% 17.85/12.67 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s408, s409)) | (~m_main_v_state1(s408, c_t1)) | m_main_v_state1(s409, c_t1))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32690,plain,
% 17.85/12.67 ((~![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(s408, c_t1)) | m_main_v_state1(s409, c_t1) | (~node6(s408, s409))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32689, 32688])).
% 17.85/12.67 tff(32691,plain,
% 17.85/12.67 (m_main_v_state1(s409, c_t1)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32690, 856, 32576, 32673])).
% 17.85/12.67 tff(32692,plain,
% 17.85/12.67 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s409, c_n2)) | (~m_main_v_state2(s409, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s409, c_n2)) | (~m_main_v_state2(s409, c_t2)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32693,plain,
% 17.85/12.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s409, c_n2)) | (~m_main_v_state2(s409, c_t2)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32694,plain,
% 17.85/12.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s409, c_n2)) | (~m_main_v_state2(s409, c_t2))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32693, 32692])).
% 17.85/12.67 tff(32695,plain,
% 17.85/12.67 (~m_main_v_state2(s409, c_t2)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32694, 77, 32623])).
% 17.85/12.67 tff(32696,plain,
% 17.85/12.67 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s409, c_t2) | (~node1(s409)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s409, c_t2) | (~node1(s409)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32697,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s409, c_t2) | (~node1(s409)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32698,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s409, c_t2) | (~node1(s409))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32697, 32696])).
% 17.85/12.67 tff(32699,plain,
% 17.85/12.67 (~node1(s409)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32698, 195, 32695])).
% 17.85/12.67 tff(32700,plain,
% 17.85/12.67 (succ(s409, s410) <=> succ(s409, s410)),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32701,axiom,(succ(s409, s410)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound410')).
% 17.85/12.67 tff(32702,plain,
% 17.85/12.67 (succ(s409, s410)),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32701, 32700])).
% 17.85/12.67 tff(32703,plain,
% 17.85/12.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s409, s410)) | trans(s409, s410))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s409, s410)) | trans(s409, s410))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32704,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s409, s410)) | trans(s409, s410))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32705,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s409, s410)) | trans(s409, s410)),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32704, 32703])).
% 17.85/12.67 tff(32706,plain,
% 17.85/12.67 (trans(s409, s410)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32705, 32702, 32])).
% 17.85/12.67 tff(32707,plain,
% 17.85/12.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s409, s410)) | node7(s409, s410))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s409, s410)) | node7(s409, s410))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32708,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s409, s410)) | node7(s409, s410))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32709,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s409, s410)) | node7(s409, s410)),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32708, 32707])).
% 17.85/12.67 tff(32710,plain,
% 17.85/12.67 (node7(s409, s410)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32709, 206, 32706])).
% 17.85/12.67 tff(32711,plain,
% 17.85/12.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_state1(s410, c_c1) | node1(s409) | node2(s409) | node3(s409) | (~node7(s409, s410)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_state1(s410, c_c1) | node1(s409) | node2(s409) | node3(s409) | (~node7(s409, s410)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32712,plain,
% 17.85/12.67 (((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | node1(s409) | node2(s409) | node3(s409) | (~node7(s409, s410)) | m_main_v_state1(s410, c_c1)) <=> ((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_state1(s410, c_c1) | node1(s409) | node2(s409) | node3(s409) | (~node7(s409, s410)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32713,plain,
% 17.85/12.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | node1(s409) | node2(s409) | node3(s409) | (~node7(s409, s410)) | m_main_v_state1(s410, 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(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_state1(s410, c_c1) | node1(s409) | node2(s409) | node3(s409) | (~node7(s409, s410))))),
% 17.85/12.67 inference(monotonicity,[status(thm)],[32712])).
% 17.85/12.67 tff(32714,plain,
% 17.85/12.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | node1(s409) | node2(s409) | node3(s409) | (~node7(s409, s410)) | m_main_v_state1(s410, 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(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_state1(s410, c_c1) | node1(s409) | node2(s409) | node3(s409) | (~node7(s409, s410)))),
% 17.85/12.67 inference(transitivity,[status(thm)],[32713, 32711])).
% 17.85/12.67 tff(32715,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | node1(s409) | node2(s409) | node3(s409) | (~node7(s409, s410)) | m_main_v_state1(s410, c_c1))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32716,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_state1(s410, c_c1) | node1(s409) | node2(s409) | node3(s409) | (~node7(s409, s410))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32715, 32714])).
% 17.85/12.67 tff(32717,plain,
% 17.85/12.67 ((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_state1(s410, c_c1) | node1(s409) | node2(s409) | node3(s409)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32716, 892, 32710])).
% 17.85/12.67 tff(32718,plain,
% 17.85/12.67 (m_main_v_state1(s410, c_c1)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32717, 32699, 32623, 32691, 32684, 32631])).
% 17.85/12.67 tff(32719,plain,
% 17.85/12.67 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s410, c_t1)) | (~m_main_v_state1(s410, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s410, c_t1)) | (~m_main_v_state1(s410, c_c1)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32720,plain,
% 17.85/12.67 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s410, c_t1)) | (~m_main_v_state1(s410, c_c1)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32721,plain,
% 17.85/12.67 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s410, c_t1)) | (~m_main_v_state1(s410, c_c1))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32720, 32719])).
% 17.85/12.67 tff(32722,plain,
% 17.85/12.67 (~m_main_v_state1(s410, c_t1)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32721, 539, 32718])).
% 17.85/12.67 tff(32723,plain,
% 17.85/12.67 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s410, c_t1) | (~node5(s410)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s410, c_t1) | (~node5(s410)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32724,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s410, c_t1) | (~node5(s410)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32725,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s410, c_t1) | (~node5(s410))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32724, 32723])).
% 17.85/12.67 tff(32726,plain,
% 17.85/12.67 (~node5(s410)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32725, 550, 32722])).
% 17.85/12.67 tff(32727,plain,
% 17.85/12.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s409, s410)) | node14(s409, s410))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s409, s410)) | node14(s409, s410))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32728,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s409, s410)) | node14(s409, s410))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32729,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s409, s410)) | node14(s409, s410)),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32728, 32727])).
% 17.85/12.67 tff(32730,plain,
% 17.85/12.67 (node14(s409, s410)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32729, 46, 32706])).
% 17.85/12.67 tff(32731,plain,
% 17.85/12.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | (~node14(s409, s410)) | m_main_v_state2(s410, 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(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | (~node14(s409, s410)) | m_main_v_state2(s410, c_t2))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32732,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | (~node14(s409, s410)) | m_main_v_state2(s410, c_t2))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32733,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | (~node14(s409, s410)) | m_main_v_state2(s410, c_t2)),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32732, 32731])).
% 17.85/12.67 tff(32734,plain,
% 17.85/12.67 ((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_state2(s410, c_t2)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32733, 922, 32730])).
% 17.85/12.67 tff(32735,plain,
% 17.85/12.67 (m_main_v_state2(s410, c_t2)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32734, 32691, 32623])).
% 17.85/12.67 tff(32736,plain,
% 17.85/12.67 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s410, c_n2)) | (~m_main_v_state2(s410, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s410, c_n2)) | (~m_main_v_state2(s410, c_t2)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32737,plain,
% 17.85/12.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s410, c_n2)) | (~m_main_v_state2(s410, c_t2)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32738,plain,
% 17.85/12.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s410, c_n2)) | (~m_main_v_state2(s410, c_t2))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32737, 32736])).
% 17.85/12.67 tff(32739,plain,
% 17.85/12.67 (~m_main_v_state2(s410, c_n2)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32738, 77, 32735])).
% 17.85/12.67 tff(32740,plain,
% 17.85/12.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s410, c_n2) | (~node4(s410)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s410, c_n2) | (~node4(s410)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32741,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s410, c_n2) | (~node4(s410)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32742,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s410, c_n2) | (~node4(s410))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32741, 32740])).
% 17.85/12.67 tff(32743,plain,
% 17.85/12.67 (~node4(s410)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32742, 388, 32739])).
% 17.85/12.67 tff(32744,plain,
% 17.85/12.67 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s410, c_t2)) | (~m_main_v_state2(s410, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s410, c_t2)) | (~m_main_v_state2(s410, c_c2)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32745,plain,
% 17.85/12.67 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s410, c_t2)) | (~m_main_v_state2(s410, c_c2)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32746,plain,
% 17.85/12.67 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s410, c_t2)) | (~m_main_v_state2(s410, c_c2))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32745, 32744])).
% 17.85/12.67 tff(32747,plain,
% 17.85/12.67 (~m_main_v_state2(s410, c_c2)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32746, 260, 32735])).
% 17.85/12.67 tff(32748,plain,
% 17.85/12.67 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s410, c_c2) | (~node3(s410)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s410, c_c2) | (~node3(s410)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32749,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s410, c_c2) | (~node3(s410)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32750,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s410, c_c2) | (~node3(s410))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32749, 32748])).
% 17.85/12.67 tff(32751,plain,
% 17.85/12.67 (~node3(s410)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32750, 399, 32747])).
% 17.85/12.67 tff(32752,plain,
% 17.85/12.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s410, c_n2) | (~node2(s410)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s410, c_n2) | (~node2(s410)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32753,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s410, c_n2) | (~node2(s410)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32754,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s410, c_n2) | (~node2(s410))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32753, 32752])).
% 17.85/12.67 tff(32755,plain,
% 17.85/12.67 (~node2(s410)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32754, 410, 32739])).
% 17.85/12.67 tff(32756,plain,
% 17.85/12.67 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s410, c_n1)) | (~m_main_v_state1(s410, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s410, c_n1)) | (~m_main_v_state1(s410, c_c1)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32757,plain,
% 17.85/12.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s410, c_n1)) | (~m_main_v_state1(s410, c_c1)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32758,plain,
% 17.85/12.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s410, c_n1)) | (~m_main_v_state1(s410, c_c1))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32757, 32756])).
% 17.85/12.67 tff(32759,plain,
% 17.85/12.67 (~m_main_v_state1(s410, c_n1)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32758, 454, 32718])).
% 17.85/12.67 tff(32760,plain,
% 17.85/12.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s410, c_n1) | (~node1(s410)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s410, c_n1) | (~node1(s410)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32761,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s410, c_n1) | (~node1(s410)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32762,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s410, c_n1) | (~node1(s410))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32761, 32760])).
% 17.85/12.67 tff(32763,plain,
% 17.85/12.67 (~node1(s410)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32762, 421, 32759])).
% 17.85/12.67 tff(32764,plain,
% 17.85/12.67 (succ(s410, s411) <=> succ(s410, s411)),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32765,axiom,(succ(s410, s411)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound411')).
% 17.85/12.67 tff(32766,plain,
% 17.85/12.67 (succ(s410, s411)),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32765, 32764])).
% 17.85/12.67 tff(32767,plain,
% 17.85/12.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s410, s411)) | trans(s410, s411))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s410, s411)) | trans(s410, s411))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32768,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s410, s411)) | trans(s410, s411))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32769,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s410, s411)) | trans(s410, s411)),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32768, 32767])).
% 17.85/12.67 tff(32770,plain,
% 17.85/12.67 (trans(s410, s411)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32769, 32766, 32])).
% 17.85/12.67 tff(32771,plain,
% 17.85/12.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s410, s411)) | node7(s410, s411))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s410, s411)) | node7(s410, s411))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32772,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s410, s411)) | node7(s410, s411))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32773,plain,
% 17.85/12.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s410, s411)) | node7(s410, s411)),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32772, 32771])).
% 17.85/12.67 tff(32774,plain,
% 17.85/12.67 (node7(s410, s411)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32773, 206, 32770])).
% 17.85/12.67 tff(32775,plain,
% 17.85/12.67 (((~![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(s411, c_n1) | (~m_main_v_state1(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410) | (~node7(s410, s411)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s411, c_n1) | (~m_main_v_state1(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410) | (~node7(s410, s411)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32776,plain,
% 17.85/12.67 (((~m_main_v_state1(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410) | (~node7(s410, s411)) | m_main_v_state1(s411, c_n1)) <=> (m_main_v_state1(s411, c_n1) | (~m_main_v_state1(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410) | (~node7(s410, s411)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32777,plain,
% 17.85/12.67 (((~![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(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410) | (~node7(s410, s411)) | m_main_v_state1(s411, 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(s411, c_n1) | (~m_main_v_state1(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410) | (~node7(s410, s411))))),
% 17.85/12.67 inference(monotonicity,[status(thm)],[32776])).
% 17.85/12.67 tff(32778,plain,
% 17.85/12.67 (((~![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(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410) | (~node7(s410, s411)) | m_main_v_state1(s411, 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(s411, c_n1) | (~m_main_v_state1(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410) | (~node7(s410, s411)))),
% 17.85/12.67 inference(transitivity,[status(thm)],[32777, 32775])).
% 17.85/12.67 tff(32779,plain,
% 17.85/12.67 ((~![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(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410) | (~node7(s410, s411)) | m_main_v_state1(s411, c_n1))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32780,plain,
% 17.85/12.67 ((~![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(s411, c_n1) | (~m_main_v_state1(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410) | (~node7(s410, s411))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 17.85/12.67 tff(32781,plain,
% 17.85/12.67 (m_main_v_state1(s411, c_n1) | (~m_main_v_state1(s410, c_c1)) | node1(s410) | node2(s410) | node3(s410) | node4(s410) | node5(s410)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32780, 584, 32774])).
% 17.85/12.67 tff(32782,plain,
% 17.85/12.67 (m_main_v_state1(s411, c_n1)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32781, 32763, 32718, 32755, 32751, 32743, 32726])).
% 17.85/12.67 tff(32783,plain,
% 17.85/12.67 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s409, c_t2) | (~node15(s409)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s409, c_t2) | (~node15(s409)))),
% 17.85/12.67 inference(rewrite,[status(thm)],[])).
% 17.85/12.67 tff(32784,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s409, c_t2) | (~node15(s409)))),
% 17.85/12.67 inference(quant_inst,[status(thm)],[])).
% 17.85/12.67 tff(32785,plain,
% 17.85/12.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s409, c_t2) | (~node15(s409))),
% 17.85/12.67 inference(modus_ponens,[status(thm)],[32784, 32783])).
% 17.85/12.67 tff(32786,plain,
% 17.85/12.67 (~node15(s409)),
% 17.85/12.67 inference(unit_resolution,[status(thm)],[32785, 103, 32695])).
% 17.85/12.67 tff(32787,plain,
% 17.85/12.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s409, s410)) | node18(s409, s410))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s409, s410)) | node18(s409, s410))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32788,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s409, s410)) | node18(s409, s410))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32789,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s409, s410)) | node18(s409, s410)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32788, 32787])).
% 17.85/12.68 tff(32790,plain,
% 17.85/12.68 (node18(s409, s410)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32789, 125, 32706])).
% 17.85/12.68 tff(32791,plain,
% 17.85/12.68 (((~![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(s409) | (~node18(s409, s410)) | (~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_turn(s410, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s409) | (~node18(s409, s410)) | (~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_turn(s410, c_1))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32792,plain,
% 17.85/12.68 (((~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | node15(s409) | (~node18(s409, s410)) | m_main_v_turn(s410, c_1)) <=> (node15(s409) | (~node18(s409, s410)) | (~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_turn(s410, c_1))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32793,plain,
% 17.85/12.68 (((~![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(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | node15(s409) | (~node18(s409, s410)) | m_main_v_turn(s410, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s409) | (~node18(s409, s410)) | (~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_turn(s410, c_1)))),
% 17.85/12.68 inference(monotonicity,[status(thm)],[32792])).
% 17.85/12.68 tff(32794,plain,
% 17.85/12.68 (((~![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(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | node15(s409) | (~node18(s409, s410)) | m_main_v_turn(s410, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s409) | (~node18(s409, s410)) | (~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_turn(s410, c_1))),
% 17.85/12.68 inference(transitivity,[status(thm)],[32793, 32791])).
% 17.85/12.68 tff(32795,plain,
% 17.85/12.68 ((~![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(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | node15(s409) | (~node18(s409, s410)) | m_main_v_turn(s410, c_1))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32796,plain,
% 17.85/12.68 ((~![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(s409) | (~node18(s409, s410)) | (~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_turn(s410, c_1)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32795, 32794])).
% 17.85/12.68 tff(32797,plain,
% 17.85/12.68 (node15(s409) | (~m_main_v_state1(s409, c_t1)) | (~m_main_v_state2(s409, c_n2)) | m_main_v_turn(s410, c_1)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32796, 992, 32790])).
% 17.85/12.68 tff(32798,plain,
% 17.85/12.68 (m_main_v_turn(s410, c_1)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32797, 32786, 32623, 32691])).
% 17.85/12.68 tff(32799,plain,
% 17.85/12.68 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s410, c_1)) | (~m_main_v_turn(s410, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s410, c_1)) | (~m_main_v_turn(s410, c_2)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32800,plain,
% 17.85/12.68 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s410, c_1)) | (~m_main_v_turn(s410, c_2)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32801,plain,
% 17.85/12.68 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s410, c_1)) | (~m_main_v_turn(s410, c_2))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32800, 32799])).
% 17.85/12.68 tff(32802,plain,
% 17.85/12.68 (~m_main_v_turn(s410, c_2)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32801, 156, 32798])).
% 17.85/12.68 tff(32803,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s410, c_2) | (~node12(s410)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s410, c_2) | (~node12(s410)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32804,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s410, c_2) | (~node12(s410)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32805,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s410, c_2) | (~node12(s410))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32804, 32803])).
% 17.85/12.68 tff(32806,plain,
% 17.85/12.68 (~node12(s410)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32805, 184, 32802])).
% 17.85/12.68 tff(32807,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s410, c_n2) | (~node8(s410)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s410, c_n2) | (~node8(s410)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32808,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s410, c_n2) | (~node8(s410)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32809,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s410, c_n2) | (~node8(s410))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32808, 32807])).
% 17.85/12.68 tff(32810,plain,
% 17.85/12.68 (~node8(s410)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32809, 271, 32739])).
% 17.85/12.68 tff(32811,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s410, c_n2) | (~node9(s410)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s410, c_n2) | (~node9(s410)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32812,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s410, c_n2) | (~node9(s410)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32813,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s410, c_n2) | (~node9(s410))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32812, 32811])).
% 17.85/12.68 tff(32814,plain,
% 17.85/12.68 (~node9(s410)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32813, 88, 32739])).
% 17.85/12.68 tff(32815,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s410, c_n2) | (~node10(s410)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s410, c_n2) | (~node10(s410)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32816,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s410, c_n2) | (~node10(s410)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32817,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s410, c_n2) | (~node10(s410))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32816, 32815])).
% 17.85/12.68 tff(32818,plain,
% 17.85/12.68 (~node10(s410)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32817, 249, 32739])).
% 17.85/12.68 tff(32819,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s410, c_n1) | (~node11(s410)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s410, c_n1) | (~node11(s410)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32820,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s410, c_n1) | (~node11(s410)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32821,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s410, c_n1) | (~node11(s410))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32820, 32819])).
% 17.85/12.68 tff(32822,plain,
% 17.85/12.68 (~node11(s410)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32821, 238, 32759])).
% 17.85/12.68 tff(32823,plain,
% 17.85/12.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s410, s411)) | node14(s410, s411))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s410, s411)) | node14(s410, s411))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32824,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s410, s411)) | node14(s410, s411))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32825,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s410, s411)) | node14(s410, s411)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32824, 32823])).
% 17.85/12.68 tff(32826,plain,
% 17.85/12.68 (node14(s410, s411)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32825, 46, 32770])).
% 17.85/12.68 tff(32827,plain,
% 17.85/12.68 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s410, c_c2) | node9(s410) | node8(s410) | node10(s410) | node11(s410) | node12(s410) | node13(s410, s411) | (~node14(s410, s411)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s410, c_c2) | node9(s410) | node8(s410) | node10(s410) | node11(s410) | node12(s410) | node13(s410, s411) | (~node14(s410, s411)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32828,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s410, c_c2) | node9(s410) | node8(s410) | node10(s410) | node11(s410) | node12(s410) | node13(s410, s411) | (~node14(s410, s411)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32829,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s410, c_c2) | node9(s410) | node8(s410) | node10(s410) | node11(s410) | node12(s410) | node13(s410, s411) | (~node14(s410, s411))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32828, 32827])).
% 17.85/12.68 tff(32830,plain,
% 17.85/12.68 (m_main_v_state2(s410, c_c2) | node9(s410) | node8(s410) | node10(s410) | node11(s410) | node12(s410) | node13(s410, s411)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32829, 296, 32826])).
% 17.85/12.68 tff(32831,plain,
% 17.85/12.68 (node13(s410, s411)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32830, 32822, 32747, 32818, 32814, 32810, 32806])).
% 17.85/12.68 tff(32832,plain,
% 17.85/12.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s410, c_t2)) | m_main_v_state2(s411, c_t2) | (~node13(s410, s411)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s410, c_t2)) | m_main_v_state2(s411, c_t2) | (~node13(s410, s411)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32833,plain,
% 17.85/12.68 (((~node13(s410, s411)) | (~m_main_v_state2(s410, c_t2)) | m_main_v_state2(s411, c_t2)) <=> ((~m_main_v_state2(s410, c_t2)) | m_main_v_state2(s411, c_t2) | (~node13(s410, s411)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32834,plain,
% 17.85/12.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s410, s411)) | (~m_main_v_state2(s410, c_t2)) | m_main_v_state2(s411, 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(s410, c_t2)) | m_main_v_state2(s411, c_t2) | (~node13(s410, s411))))),
% 17.85/12.68 inference(monotonicity,[status(thm)],[32833])).
% 17.85/12.68 tff(32835,plain,
% 17.85/12.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s410, s411)) | (~m_main_v_state2(s410, c_t2)) | m_main_v_state2(s411, 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(s410, c_t2)) | m_main_v_state2(s411, c_t2) | (~node13(s410, s411)))),
% 17.85/12.68 inference(transitivity,[status(thm)],[32834, 32832])).
% 17.85/12.68 tff(32836,plain,
% 17.85/12.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s410, s411)) | (~m_main_v_state2(s410, c_t2)) | m_main_v_state2(s411, c_t2))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32837,plain,
% 17.85/12.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s410, c_t2)) | m_main_v_state2(s411, c_t2) | (~node13(s410, s411))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32836, 32835])).
% 17.85/12.68 tff(32838,plain,
% 17.85/12.68 (m_main_v_state2(s411, c_t2)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32837, 518, 32735, 32831])).
% 17.85/12.68 tff(32839,plain,
% 17.85/12.68 (succ(s411, s412) <=> succ(s411, s412)),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32840,axiom,(succ(s411, s412)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound412')).
% 17.85/12.68 tff(32841,plain,
% 17.85/12.68 (succ(s411, s412)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32840, 32839])).
% 17.85/12.68 tff(32842,plain,
% 17.85/12.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s411, s412)) | trans(s411, s412))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s411, s412)) | trans(s411, s412))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32843,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s411, s412)) | trans(s411, s412))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32844,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s411, s412)) | trans(s411, s412)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32843, 32842])).
% 17.85/12.68 tff(32845,plain,
% 17.85/12.68 (trans(s411, s412)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32844, 32841, 32])).
% 17.85/12.68 tff(32846,plain,
% 17.85/12.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s411, s412)) | node7(s411, s412))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s411, s412)) | node7(s411, s412))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32847,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s411, s412)) | node7(s411, s412))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32848,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s411, s412)) | node7(s411, s412)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32847, 32846])).
% 17.85/12.68 tff(32849,plain,
% 17.85/12.68 (node7(s411, s412)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32848, 206, 32845])).
% 17.85/12.68 tff(32850,plain,
% 17.85/12.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | (~node7(s411, s412)) | m_main_v_state1(s412, 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(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | (~node7(s411, s412)) | m_main_v_state1(s412, c_t1))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32851,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | (~node7(s411, s412)) | m_main_v_state1(s412, c_t1))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32852,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | (~node7(s411, s412)) | m_main_v_state1(s412, c_t1)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32851, 32850])).
% 17.85/12.68 tff(32853,plain,
% 17.85/12.68 ((~m_main_v_state1(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | m_main_v_state1(s412, c_t1)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32852, 651, 32849])).
% 17.85/12.68 tff(32854,plain,
% 17.85/12.68 (m_main_v_state1(s412, c_t1)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32853, 32838, 32782])).
% 17.85/12.68 tff(32855,plain,
% 17.85/12.68 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s412, c_n1)) | (~m_main_v_state1(s412, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s412, c_n1)) | (~m_main_v_state1(s412, c_t1)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32856,plain,
% 17.85/12.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s412, c_n1)) | (~m_main_v_state1(s412, c_t1)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32857,plain,
% 17.85/12.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s412, c_n1)) | (~m_main_v_state1(s412, c_t1))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32856, 32855])).
% 17.85/12.68 tff(32858,plain,
% 17.85/12.68 (~m_main_v_state1(s412, c_n1)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32857, 10, 32854])).
% 17.85/12.68 tff(32859,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s412, c_n1) | (~node1(s412)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s412, c_n1) | (~node1(s412)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32860,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s412, c_n1) | (~node1(s412)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32861,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s412, c_n1) | (~node1(s412))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32860, 32859])).
% 17.85/12.68 tff(32862,plain,
% 17.85/12.68 (~node1(s412)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32861, 421, 32858])).
% 17.85/12.68 tff(32863,plain,
% 17.85/12.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s411, s412)) | node18(s411, s412))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s411, s412)) | node18(s411, s412))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32864,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s411, s412)) | node18(s411, s412))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32865,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s411, s412)) | node18(s411, s412)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32864, 32863])).
% 17.85/12.68 tff(32866,plain,
% 17.85/12.68 (node18(s411, s412)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32865, 125, 32845])).
% 17.85/12.68 tff(32867,plain,
% 17.85/12.68 (((~![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(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | (~node18(s411, s412)) | m_main_v_turn(s412, 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(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | (~node18(s411, s412)) | m_main_v_turn(s412, c_2))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32868,plain,
% 17.85/12.68 ((~![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(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | (~node18(s411, s412)) | m_main_v_turn(s412, c_2))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32869,plain,
% 17.85/12.68 ((~![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(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | (~node18(s411, s412)) | m_main_v_turn(s412, c_2)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32868, 32867])).
% 17.85/12.68 tff(32870,plain,
% 17.85/12.68 ((~m_main_v_state1(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | m_main_v_turn(s412, c_2)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32869, 760, 32866])).
% 17.85/12.68 tff(32871,plain,
% 17.85/12.68 (m_main_v_turn(s412, c_2)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32870, 32838, 32782])).
% 17.85/12.68 tff(32872,plain,
% 17.85/12.68 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s412, c_1)) | (~m_main_v_turn(s412, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s412, c_1)) | (~m_main_v_turn(s412, c_2)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32873,plain,
% 17.85/12.68 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s412, c_1)) | (~m_main_v_turn(s412, c_2)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32874,plain,
% 17.85/12.68 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s412, c_1)) | (~m_main_v_turn(s412, c_2))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32873, 32872])).
% 17.85/12.68 tff(32875,plain,
% 17.85/12.68 (~m_main_v_turn(s412, c_1)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32874, 156, 32871])).
% 17.85/12.68 tff(32876,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s412, c_1) | (~node5(s412)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s412, c_1) | (~node5(s412)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32877,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s412, c_1) | (~node5(s412)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32878,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s412, c_1) | (~node5(s412))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32877, 32876])).
% 17.85/12.68 tff(32879,plain,
% 17.85/12.68 (~node5(s412)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32878, 776, 32875])).
% 17.85/12.68 tff(32880,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s412, c_n1) | (~node2(s412)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s412, c_n1) | (~node2(s412)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32881,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s412, c_n1) | (~node2(s412)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32882,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s412, c_n1) | (~node2(s412))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32881, 32880])).
% 17.85/12.68 tff(32883,plain,
% 17.85/12.68 (~node2(s412)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32882, 787, 32858])).
% 17.85/12.68 tff(32884,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s412, c_n1) | (~node3(s412)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s412, c_n1) | (~node3(s412)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32885,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s412, c_n1) | (~node3(s412)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32886,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s412, c_n1) | (~node3(s412))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32885, 32884])).
% 17.85/12.68 tff(32887,plain,
% 17.85/12.68 (~node3(s412)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32886, 798, 32858])).
% 17.85/12.68 tff(32888,plain,
% 17.85/12.68 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s412, c_t1)) | (~m_main_v_state1(s412, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s412, c_t1)) | (~m_main_v_state1(s412, c_c1)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32889,plain,
% 17.85/12.68 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s412, c_t1)) | (~m_main_v_state1(s412, c_c1)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32890,plain,
% 17.85/12.68 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s412, c_t1)) | (~m_main_v_state1(s412, c_c1))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32889, 32888])).
% 17.85/12.68 tff(32891,plain,
% 17.85/12.68 (~m_main_v_state1(s412, c_c1)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32890, 539, 32854])).
% 17.85/12.68 tff(32892,plain,
% 17.85/12.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s410, c_n2) | (~m_main_v_state2(s411, c_n2)) | (~node13(s410, s411)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s410, c_n2) | (~m_main_v_state2(s411, c_n2)) | (~node13(s410, s411)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32893,plain,
% 17.85/12.68 (((~node13(s410, s411)) | m_main_v_state2(s410, c_n2) | (~m_main_v_state2(s411, c_n2))) <=> (m_main_v_state2(s410, c_n2) | (~m_main_v_state2(s411, c_n2)) | (~node13(s410, s411)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32894,plain,
% 17.85/12.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s410, s411)) | m_main_v_state2(s410, c_n2) | (~m_main_v_state2(s411, 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(s410, c_n2) | (~m_main_v_state2(s411, c_n2)) | (~node13(s410, s411))))),
% 17.85/12.68 inference(monotonicity,[status(thm)],[32893])).
% 17.85/12.68 tff(32895,plain,
% 17.85/12.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s410, s411)) | m_main_v_state2(s410, c_n2) | (~m_main_v_state2(s411, 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(s410, c_n2) | (~m_main_v_state2(s411, c_n2)) | (~node13(s410, s411)))),
% 17.85/12.68 inference(transitivity,[status(thm)],[32894, 32892])).
% 17.85/12.68 tff(32896,plain,
% 17.85/12.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s410, s411)) | m_main_v_state2(s410, c_n2) | (~m_main_v_state2(s411, c_n2)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32897,plain,
% 17.85/12.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s410, c_n2) | (~m_main_v_state2(s411, c_n2)) | (~node13(s410, s411))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32896, 32895])).
% 17.85/12.68 tff(32898,plain,
% 17.85/12.68 (~m_main_v_state2(s411, c_n2)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32897, 311, 32739, 32831])).
% 17.85/12.68 tff(32899,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s411, c_n2) | (~node9(s411)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s411, c_n2) | (~node9(s411)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32900,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s411, c_n2) | (~node9(s411)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32901,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s411, c_n2) | (~node9(s411))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32900, 32899])).
% 17.85/12.68 tff(32902,plain,
% 17.85/12.68 (~node9(s411)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32901, 88, 32898])).
% 17.85/12.68 tff(32903,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s411, c_n2) | (~node10(s411)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s411, c_n2) | (~node10(s411)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32904,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s411, c_n2) | (~node10(s411)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32905,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s411, c_n2) | (~node10(s411))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32904, 32903])).
% 17.85/12.68 tff(32906,plain,
% 17.85/12.68 (~node10(s411)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32905, 249, 32898])).
% 17.85/12.68 tff(32907,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s411, c_n2) | (~node8(s411)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s411, c_n2) | (~node8(s411)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32908,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s411, c_n2) | (~node8(s411)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32909,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s411, c_n2) | (~node8(s411))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32908, 32907])).
% 17.85/12.68 tff(32910,plain,
% 17.85/12.68 (~node8(s411)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32909, 271, 32898])).
% 17.85/12.68 tff(32911,plain,
% 17.85/12.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s411, s412)) | node14(s411, s412))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s411, s412)) | node14(s411, s412))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32912,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s411, s412)) | node14(s411, s412))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32913,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s411, s412)) | node14(s411, s412)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32912, 32911])).
% 17.85/12.68 tff(32914,plain,
% 17.85/12.68 (node14(s411, s412)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32913, 46, 32845])).
% 17.85/12.68 tff(32915,plain,
% 17.85/12.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | node9(s411) | node8(s411) | node10(s411) | (~node14(s411, s412)) | m_main_v_state2(s412, 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(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | node9(s411) | node8(s411) | node10(s411) | (~node14(s411, s412)) | m_main_v_state2(s412, c_c2))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32916,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | node9(s411) | node8(s411) | node10(s411) | (~node14(s411, s412)) | m_main_v_state2(s412, c_c2))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32917,plain,
% 17.85/12.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | node9(s411) | node8(s411) | node10(s411) | (~node14(s411, s412)) | m_main_v_state2(s412, c_c2)),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32916, 32915])).
% 17.85/12.68 tff(32918,plain,
% 17.85/12.68 ((~m_main_v_state1(s411, c_n1)) | (~m_main_v_state2(s411, c_t2)) | node9(s411) | node8(s411) | node10(s411) | m_main_v_state2(s412, c_c2)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32917, 617, 32914])).
% 17.85/12.68 tff(32919,plain,
% 17.85/12.68 (m_main_v_state2(s412, c_c2)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32918, 32910, 32782, 32838, 32906, 32902])).
% 17.85/12.68 tff(32920,plain,
% 17.85/12.68 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s412, c_n2)) | (~m_main_v_state2(s412, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s412, c_n2)) | (~m_main_v_state2(s412, c_c2)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32921,plain,
% 17.85/12.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s412, c_n2)) | (~m_main_v_state2(s412, c_c2)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32922,plain,
% 17.85/12.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s412, c_n2)) | (~m_main_v_state2(s412, c_c2))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32921, 32920])).
% 17.85/12.68 tff(32923,plain,
% 17.85/12.68 (~m_main_v_state2(s412, c_n2)),
% 17.85/12.68 inference(unit_resolution,[status(thm)],[32922, 697, 32919])).
% 17.85/12.68 tff(32924,plain,
% 17.85/12.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s412, c_n2) | (~node4(s412)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s412, c_n2) | (~node4(s412)))),
% 17.85/12.68 inference(rewrite,[status(thm)],[])).
% 17.85/12.68 tff(32925,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s412, c_n2) | (~node4(s412)))),
% 17.85/12.68 inference(quant_inst,[status(thm)],[])).
% 17.85/12.68 tff(32926,plain,
% 17.85/12.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s412, c_n2) | (~node4(s412))),
% 17.85/12.68 inference(modus_ponens,[status(thm)],[32925, 32924])).
% 17.85/12.69 tff(32927,plain,
% 17.85/12.69 (~node4(s412)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32926, 388, 32923])).
% 17.85/12.69 tff(32928,plain,
% 17.85/12.69 (succ(s412, s413) <=> succ(s412, s413)),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32929,axiom,(succ(s412, s413)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound413')).
% 17.85/12.69 tff(32930,plain,
% 17.85/12.69 (succ(s412, s413)),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32929, 32928])).
% 17.85/12.69 tff(32931,plain,
% 17.85/12.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s412, s413)) | trans(s412, s413))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s412, s413)) | trans(s412, s413))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32932,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s412, s413)) | trans(s412, s413))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32933,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s412, s413)) | trans(s412, s413)),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32932, 32931])).
% 17.85/12.69 tff(32934,plain,
% 17.85/12.69 (trans(s412, s413)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32933, 32930, 32])).
% 17.85/12.69 tff(32935,plain,
% 17.85/12.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s412, s413)) | node7(s412, s413))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s412, s413)) | node7(s412, s413))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32936,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s412, s413)) | node7(s412, s413))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32937,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s412, s413)) | node7(s412, s413)),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32936, 32935])).
% 17.85/12.69 tff(32938,plain,
% 17.85/12.69 (node7(s412, s413)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32937, 206, 32934])).
% 17.85/12.69 tff(32939,plain,
% 17.85/12.69 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s412, c_c1) | node1(s412) | node2(s412) | node3(s412) | node4(s412) | node5(s412) | node6(s412, s413) | (~node7(s412, s413)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s412, c_c1) | node1(s412) | node2(s412) | node3(s412) | node4(s412) | node5(s412) | node6(s412, s413) | (~node7(s412, s413)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32940,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s412, c_c1) | node1(s412) | node2(s412) | node3(s412) | node4(s412) | node5(s412) | node6(s412, s413) | (~node7(s412, s413)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32941,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s412, c_c1) | node1(s412) | node2(s412) | node3(s412) | node4(s412) | node5(s412) | node6(s412, s413) | (~node7(s412, s413))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32940, 32939])).
% 17.85/12.69 tff(32942,plain,
% 17.85/12.69 (m_main_v_state1(s412, c_c1) | node1(s412) | node2(s412) | node3(s412) | node4(s412) | node5(s412) | node6(s412, s413)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32941, 820, 32938])).
% 17.85/12.69 tff(32943,plain,
% 17.85/12.69 (node6(s412, s413)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32942, 32927, 32891, 32887, 32883, 32879, 32862])).
% 17.85/12.69 tff(32944,plain,
% 17.85/12.69 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s412, c_t1)) | m_main_v_state1(s413, c_t1) | (~node6(s412, s413)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s412, c_t1)) | m_main_v_state1(s413, c_t1) | (~node6(s412, s413)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32945,plain,
% 17.85/12.69 (((~node6(s412, s413)) | (~m_main_v_state1(s412, c_t1)) | m_main_v_state1(s413, c_t1)) <=> ((~m_main_v_state1(s412, c_t1)) | m_main_v_state1(s413, c_t1) | (~node6(s412, s413)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32946,plain,
% 17.85/12.69 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s412, s413)) | (~m_main_v_state1(s412, c_t1)) | m_main_v_state1(s413, 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(s412, c_t1)) | m_main_v_state1(s413, c_t1) | (~node6(s412, s413))))),
% 17.85/12.69 inference(monotonicity,[status(thm)],[32945])).
% 17.85/12.69 tff(32947,plain,
% 17.85/12.69 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s412, s413)) | (~m_main_v_state1(s412, c_t1)) | m_main_v_state1(s413, 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(s412, c_t1)) | m_main_v_state1(s413, c_t1) | (~node6(s412, s413)))),
% 17.85/12.69 inference(transitivity,[status(thm)],[32946, 32944])).
% 17.85/12.69 tff(32948,plain,
% 17.85/12.69 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s412, s413)) | (~m_main_v_state1(s412, c_t1)) | m_main_v_state1(s413, c_t1))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32949,plain,
% 17.85/12.69 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s412, c_t1)) | m_main_v_state1(s413, c_t1) | (~node6(s412, s413))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32948, 32947])).
% 17.85/12.69 tff(32950,plain,
% 17.85/12.69 (m_main_v_state1(s413, c_t1)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32949, 856, 32854, 32943])).
% 17.85/12.69 tff(32951,plain,
% 17.85/12.69 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s412, c_t2)) | (~m_main_v_state2(s412, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s412, c_t2)) | (~m_main_v_state2(s412, c_c2)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32952,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s412, c_t2)) | (~m_main_v_state2(s412, c_c2)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32953,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s412, c_t2)) | (~m_main_v_state2(s412, c_c2))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32952, 32951])).
% 17.85/12.69 tff(32954,plain,
% 17.85/12.69 (~m_main_v_state2(s412, c_t2)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32953, 260, 32919])).
% 17.85/12.69 tff(32955,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s412, c_t2) | (~node12(s412)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s412, c_t2) | (~node12(s412)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32956,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s412, c_t2) | (~node12(s412)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32957,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s412, c_t2) | (~node12(s412))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32956, 32955])).
% 17.85/12.69 tff(32958,plain,
% 17.85/12.69 (~node12(s412)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32957, 633, 32954])).
% 17.85/12.69 tff(32959,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s412, c_n1) | (~node11(s412)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s412, c_n1) | (~node11(s412)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32960,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s412, c_n1) | (~node11(s412)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32961,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s412, c_n1) | (~node11(s412))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32960, 32959])).
% 17.85/12.69 tff(32962,plain,
% 17.85/12.69 (~node11(s412)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32961, 238, 32858])).
% 17.85/12.69 tff(32963,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s412, c_c1) | (~node10(s412)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s412, c_c1) | (~node10(s412)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32964,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s412, c_c1) | (~node10(s412)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32965,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s412, c_c1) | (~node10(s412))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32964, 32963])).
% 17.85/12.69 tff(32966,plain,
% 17.85/12.69 (~node10(s412)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32965, 675, 32891])).
% 17.85/12.69 tff(32967,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s412, c_n1) | (~node9(s412)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s412, c_n1) | (~node9(s412)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32968,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s412, c_n1) | (~node9(s412)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32969,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s412, c_n1) | (~node9(s412))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32968, 32967])).
% 17.85/12.69 tff(32970,plain,
% 17.85/12.69 (~node9(s412)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32969, 686, 32858])).
% 17.85/12.69 tff(32971,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s412, c_n2) | (~node8(s412)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s412, c_n2) | (~node8(s412)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32972,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s412, c_n2) | (~node8(s412)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32973,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s412, c_n2) | (~node8(s412))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32972, 32971])).
% 17.85/12.69 tff(32974,plain,
% 17.85/12.69 (~node8(s412)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32973, 271, 32923])).
% 17.85/12.69 tff(32975,plain,
% 17.85/12.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s412, s413)) | node14(s412, s413))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s412, s413)) | node14(s412, s413))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32976,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s412, s413)) | node14(s412, s413))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32977,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s412, s413)) | node14(s412, s413)),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32976, 32975])).
% 17.85/12.69 tff(32978,plain,
% 17.85/12.69 (node14(s412, s413)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32977, 46, 32934])).
% 17.85/12.69 tff(32979,plain,
% 17.85/12.69 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s413, c_n2) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~node14(s412, s413)) | (~m_main_v_state2(s412, 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(s413, c_n2) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~node14(s412, s413)) | (~m_main_v_state2(s412, c_c2)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32980,plain,
% 17.85/12.69 (((~m_main_v_state2(s412, c_c2)) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~node14(s412, s413)) | m_main_v_state2(s413, c_n2)) <=> (m_main_v_state2(s413, c_n2) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~node14(s412, s413)) | (~m_main_v_state2(s412, c_c2)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32981,plain,
% 17.85/12.69 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s412, c_c2)) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~node14(s412, s413)) | m_main_v_state2(s413, 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(s413, c_n2) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~node14(s412, s413)) | (~m_main_v_state2(s412, c_c2))))),
% 17.85/12.69 inference(monotonicity,[status(thm)],[32980])).
% 17.85/12.69 tff(32982,plain,
% 17.85/12.69 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s412, c_c2)) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~node14(s412, s413)) | m_main_v_state2(s413, 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(s413, c_n2) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~node14(s412, s413)) | (~m_main_v_state2(s412, c_c2)))),
% 17.85/12.69 inference(transitivity,[status(thm)],[32981, 32979])).
% 17.85/12.69 tff(32983,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s412, c_c2)) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~node14(s412, s413)) | m_main_v_state2(s413, c_n2))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32984,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s413, c_n2) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~node14(s412, s413)) | (~m_main_v_state2(s412, c_c2))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32983, 32982])).
% 17.85/12.69 tff(32985,plain,
% 17.85/12.69 (m_main_v_state2(s413, c_n2) | node9(s412) | node8(s412) | node10(s412) | node11(s412) | node12(s412) | (~m_main_v_state2(s412, c_c2))),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32984, 726, 32978])).
% 17.85/12.69 tff(32986,plain,
% 17.85/12.69 (m_main_v_state2(s413, c_n2)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32985, 32974, 32919, 32970, 32966, 32962, 32958])).
% 17.85/12.69 tff(32987,plain,
% 17.85/12.69 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s413, c_n2)) | (~m_main_v_state2(s413, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s413, c_n2)) | (~m_main_v_state2(s413, c_t2)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32988,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s413, c_n2)) | (~m_main_v_state2(s413, c_t2)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32989,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s413, c_n2)) | (~m_main_v_state2(s413, c_t2))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32988, 32987])).
% 17.85/12.69 tff(32990,plain,
% 17.85/12.69 (~m_main_v_state2(s413, c_t2)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32989, 77, 32986])).
% 17.85/12.69 tff(32991,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s413, c_t2) | (~node15(s413)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s413, c_t2) | (~node15(s413)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32992,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s413, c_t2) | (~node15(s413)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(32993,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s413, c_t2) | (~node15(s413))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32992, 32991])).
% 17.85/12.69 tff(32994,plain,
% 17.85/12.69 (~node15(s413)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[32993, 103, 32990])).
% 17.85/12.69 tff(32995,plain,
% 17.85/12.69 (succ(s413, s414) <=> succ(s413, s414)),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32996,axiom,(succ(s413, s414)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound414')).
% 17.85/12.69 tff(32997,plain,
% 17.85/12.69 (succ(s413, s414)),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32996, 32995])).
% 17.85/12.69 tff(32998,plain,
% 17.85/12.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s413, s414)) | trans(s413, s414))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s413, s414)) | trans(s413, s414))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(32999,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s413, s414)) | trans(s413, s414))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33000,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s413, s414)) | trans(s413, s414)),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[32999, 32998])).
% 17.85/12.69 tff(33001,plain,
% 17.85/12.69 (trans(s413, s414)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33000, 32997, 32])).
% 17.85/12.69 tff(33002,plain,
% 17.85/12.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s413, s414)) | node18(s413, s414))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s413, s414)) | node18(s413, s414))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33003,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s413, s414)) | node18(s413, s414))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33004,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s413, s414)) | node18(s413, s414)),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33003, 33002])).
% 17.85/12.69 tff(33005,plain,
% 17.85/12.69 (node18(s413, s414)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33004, 125, 33001])).
% 17.85/12.69 tff(33006,plain,
% 17.85/12.69 (((~![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(s413) | (~node18(s413, s414)) | (~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_turn(s414, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s413) | (~node18(s413, s414)) | (~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_turn(s414, c_1))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33007,plain,
% 17.85/12.69 (((~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | node15(s413) | (~node18(s413, s414)) | m_main_v_turn(s414, c_1)) <=> (node15(s413) | (~node18(s413, s414)) | (~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_turn(s414, c_1))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33008,plain,
% 17.85/12.69 (((~![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(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | node15(s413) | (~node18(s413, s414)) | m_main_v_turn(s414, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s413) | (~node18(s413, s414)) | (~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_turn(s414, c_1)))),
% 17.85/12.69 inference(monotonicity,[status(thm)],[33007])).
% 17.85/12.69 tff(33009,plain,
% 17.85/12.69 (((~![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(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | node15(s413) | (~node18(s413, s414)) | m_main_v_turn(s414, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s413) | (~node18(s413, s414)) | (~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_turn(s414, c_1))),
% 17.85/12.69 inference(transitivity,[status(thm)],[33008, 33006])).
% 17.85/12.69 tff(33010,plain,
% 17.85/12.69 ((~![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(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | node15(s413) | (~node18(s413, s414)) | m_main_v_turn(s414, c_1))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33011,plain,
% 17.85/12.69 ((~![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(s413) | (~node18(s413, s414)) | (~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_turn(s414, c_1)),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33010, 33009])).
% 17.85/12.69 tff(33012,plain,
% 17.85/12.69 (node15(s413) | (~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_turn(s414, c_1)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33011, 992, 33005])).
% 17.85/12.69 tff(33013,plain,
% 17.85/12.69 (m_main_v_turn(s414, c_1)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33012, 32994, 32986, 32950])).
% 17.85/12.69 tff(33014,plain,
% 17.85/12.69 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s414, c_1)) | (~m_main_v_turn(s414, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s414, c_1)) | (~m_main_v_turn(s414, c_2)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33015,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s414, c_1)) | (~m_main_v_turn(s414, c_2)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33016,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s414, c_1)) | (~m_main_v_turn(s414, c_2))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33015, 33014])).
% 17.85/12.69 tff(33017,plain,
% 17.85/12.69 (~m_main_v_turn(s414, c_2)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33016, 156, 33013])).
% 17.85/12.69 tff(33018,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s414, c_2) | (~node12(s414)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s414, c_2) | (~node12(s414)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33019,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s414, c_2) | (~node12(s414)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33020,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s414, c_2) | (~node12(s414))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33019, 33018])).
% 17.85/12.69 tff(33021,plain,
% 17.85/12.69 (~node12(s414)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33020, 184, 33017])).
% 17.85/12.69 tff(33022,plain,
% 17.85/12.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s413, s414)) | node14(s413, s414))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s413, s414)) | node14(s413, s414))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33023,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s413, s414)) | node14(s413, s414))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33024,plain,
% 17.85/12.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s413, s414)) | node14(s413, s414)),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33023, 33022])).
% 17.85/12.69 tff(33025,plain,
% 17.85/12.69 (node14(s413, s414)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33024, 46, 33001])).
% 17.85/12.69 tff(33026,plain,
% 17.85/12.69 (((~![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(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | (~node14(s413, s414)) | m_main_v_state2(s414, 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(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | (~node14(s413, s414)) | m_main_v_state2(s414, c_t2))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33027,plain,
% 17.85/12.69 ((~![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(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | (~node14(s413, s414)) | m_main_v_state2(s414, c_t2))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33028,plain,
% 17.85/12.69 ((~![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(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | (~node14(s413, s414)) | m_main_v_state2(s414, c_t2)),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33027, 33026])).
% 17.85/12.69 tff(33029,plain,
% 17.85/12.69 ((~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_state2(s414, c_t2)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33028, 922, 33025])).
% 17.85/12.69 tff(33030,plain,
% 17.85/12.69 (m_main_v_state2(s414, c_t2)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33029, 32950, 32986])).
% 17.85/12.69 tff(33031,plain,
% 17.85/12.69 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s414, c_n2)) | (~m_main_v_state2(s414, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s414, c_n2)) | (~m_main_v_state2(s414, c_t2)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33032,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s414, c_n2)) | (~m_main_v_state2(s414, c_t2)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33033,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s414, c_n2)) | (~m_main_v_state2(s414, c_t2))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33032, 33031])).
% 17.85/12.69 tff(33034,plain,
% 17.85/12.69 (~m_main_v_state2(s414, c_n2)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33033, 77, 33030])).
% 17.85/12.69 tff(33035,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s414, c_n2) | (~node8(s414)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s414, c_n2) | (~node8(s414)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33036,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s414, c_n2) | (~node8(s414)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33037,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s414, c_n2) | (~node8(s414))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33036, 33035])).
% 17.85/12.69 tff(33038,plain,
% 17.85/12.69 (~node8(s414)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33037, 271, 33034])).
% 17.85/12.69 tff(33039,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s414, c_n2) | (~node9(s414)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s414, c_n2) | (~node9(s414)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33040,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s414, c_n2) | (~node9(s414)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33041,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s414, c_n2) | (~node9(s414))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33040, 33039])).
% 17.85/12.69 tff(33042,plain,
% 17.85/12.69 (~node9(s414)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33041, 88, 33034])).
% 17.85/12.69 tff(33043,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s414, c_n2) | (~node10(s414)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s414, c_n2) | (~node10(s414)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33044,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s414, c_n2) | (~node10(s414)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33045,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s414, c_n2) | (~node10(s414))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33044, 33043])).
% 17.85/12.69 tff(33046,plain,
% 17.85/12.69 (~node10(s414)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33045, 249, 33034])).
% 17.85/12.69 tff(33047,plain,
% 17.85/12.69 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s414, c_t2)) | (~m_main_v_state2(s414, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s414, c_t2)) | (~m_main_v_state2(s414, c_c2)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33048,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s414, c_t2)) | (~m_main_v_state2(s414, c_c2)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33049,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s414, c_t2)) | (~m_main_v_state2(s414, c_c2))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33048, 33047])).
% 17.85/12.69 tff(33050,plain,
% 17.85/12.69 (~m_main_v_state2(s414, c_c2)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33049, 260, 33030])).
% 17.85/12.69 tff(33051,plain,
% 17.85/12.69 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s413, c_n2)) | (~m_main_v_state2(s413, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s413, c_n2)) | (~m_main_v_state2(s413, c_c2)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33052,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s413, c_n2)) | (~m_main_v_state2(s413, c_c2)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33053,plain,
% 17.85/12.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s413, c_n2)) | (~m_main_v_state2(s413, c_c2))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33052, 33051])).
% 17.85/12.69 tff(33054,plain,
% 17.85/12.69 (~m_main_v_state2(s413, c_c2)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33053, 697, 32986])).
% 17.85/12.69 tff(33055,plain,
% 17.85/12.69 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s413, c_c2) | (~node3(s413)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s413, c_c2) | (~node3(s413)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33056,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s413, c_c2) | (~node3(s413)))),
% 17.85/12.69 inference(quant_inst,[status(thm)],[])).
% 17.85/12.69 tff(33057,plain,
% 17.85/12.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s413, c_c2) | (~node3(s413))),
% 17.85/12.69 inference(modus_ponens,[status(thm)],[33056, 33055])).
% 17.85/12.69 tff(33058,plain,
% 17.85/12.69 (~node3(s413)),
% 17.85/12.69 inference(unit_resolution,[status(thm)],[33057, 399, 33054])).
% 17.85/12.69 tff(33059,plain,
% 17.85/12.69 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s412, c_n1) | (~m_main_v_state1(s413, c_n1)) | (~node6(s412, s413)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s412, c_n1) | (~m_main_v_state1(s413, c_n1)) | (~node6(s412, s413)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33060,plain,
% 17.85/12.69 (((~node6(s412, s413)) | m_main_v_state1(s412, c_n1) | (~m_main_v_state1(s413, c_n1))) <=> (m_main_v_state1(s412, c_n1) | (~m_main_v_state1(s413, c_n1)) | (~node6(s412, s413)))),
% 17.85/12.69 inference(rewrite,[status(thm)],[])).
% 17.85/12.69 tff(33061,plain,
% 17.85/12.69 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s412, s413)) | m_main_v_state1(s412, c_n1) | (~m_main_v_state1(s413, 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(s412, c_n1) | (~m_main_v_state1(s413, c_n1)) | (~node6(s412, s413))))),
% 17.85/12.69 inference(monotonicity,[status(thm)],[33060])).
% 17.85/12.69 tff(33062,plain,
% 17.85/12.69 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s412, s413)) | m_main_v_state1(s412, c_n1) | (~m_main_v_state1(s413, 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(s412, c_n1) | (~m_main_v_state1(s413, c_n1)) | (~node6(s412, s413)))),
% 17.85/12.69 inference(transitivity,[status(thm)],[33061, 33059])).
% 17.85/12.69 tff(33063,plain,
% 17.85/12.69 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s412, s413)) | m_main_v_state1(s412, c_n1) | (~m_main_v_state1(s413, c_n1)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33064,plain,
% 17.85/12.70 ((~![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(s412, c_n1) | (~m_main_v_state1(s413, c_n1)) | (~node6(s412, s413))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33063, 33062])).
% 17.85/12.70 tff(33065,plain,
% 17.85/12.70 (~m_main_v_state1(s413, c_n1)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33064, 835, 32858, 32943])).
% 17.85/12.70 tff(33066,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s413, c_n1) | (~node2(s413)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s413, c_n1) | (~node2(s413)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33067,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s413, c_n1) | (~node2(s413)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33068,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s413, c_n1) | (~node2(s413))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33067, 33066])).
% 17.85/12.70 tff(33069,plain,
% 17.85/12.70 (~node2(s413)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33068, 787, 33065])).
% 17.85/12.70 tff(33070,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s413, c_t2) | (~node1(s413)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s413, c_t2) | (~node1(s413)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33071,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s413, c_t2) | (~node1(s413)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33072,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s413, c_t2) | (~node1(s413))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33071, 33070])).
% 17.85/12.70 tff(33073,plain,
% 17.85/12.70 (~node1(s413)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33072, 195, 32990])).
% 17.85/12.70 tff(33074,plain,
% 17.85/12.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s413, s414)) | node7(s413, s414))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s413, s414)) | node7(s413, s414))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33075,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s413, s414)) | node7(s413, s414))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33076,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s413, s414)) | node7(s413, s414)),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33075, 33074])).
% 17.85/12.70 tff(33077,plain,
% 17.85/12.70 (node7(s413, s414)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33076, 206, 33001])).
% 17.85/12.70 tff(33078,plain,
% 17.85/12.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_state1(s414, c_c1) | node1(s413) | node2(s413) | node3(s413) | (~node7(s413, s414)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_state1(s414, c_c1) | node1(s413) | node2(s413) | node3(s413) | (~node7(s413, s414)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33079,plain,
% 17.85/12.70 (((~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | node1(s413) | node2(s413) | node3(s413) | (~node7(s413, s414)) | m_main_v_state1(s414, c_c1)) <=> ((~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_state1(s414, c_c1) | node1(s413) | node2(s413) | node3(s413) | (~node7(s413, s414)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33080,plain,
% 17.85/12.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | node1(s413) | node2(s413) | node3(s413) | (~node7(s413, s414)) | m_main_v_state1(s414, 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(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_state1(s414, c_c1) | node1(s413) | node2(s413) | node3(s413) | (~node7(s413, s414))))),
% 17.85/12.70 inference(monotonicity,[status(thm)],[33079])).
% 17.85/12.70 tff(33081,plain,
% 17.85/12.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | node1(s413) | node2(s413) | node3(s413) | (~node7(s413, s414)) | m_main_v_state1(s414, 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(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_state1(s414, c_c1) | node1(s413) | node2(s413) | node3(s413) | (~node7(s413, s414)))),
% 17.85/12.70 inference(transitivity,[status(thm)],[33080, 33078])).
% 17.85/12.70 tff(33082,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | node1(s413) | node2(s413) | node3(s413) | (~node7(s413, s414)) | m_main_v_state1(s414, c_c1))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33083,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_state1(s414, c_c1) | node1(s413) | node2(s413) | node3(s413) | (~node7(s413, s414))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33082, 33081])).
% 17.85/12.70 tff(33084,plain,
% 17.85/12.70 ((~m_main_v_state1(s413, c_t1)) | (~m_main_v_state2(s413, c_n2)) | m_main_v_state1(s414, c_c1) | node1(s413) | node2(s413) | node3(s413)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33083, 892, 33077])).
% 17.85/12.70 tff(33085,plain,
% 17.85/12.70 (m_main_v_state1(s414, c_c1)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33084, 33073, 32986, 32950, 33069, 33058])).
% 17.85/12.70 tff(33086,plain,
% 17.85/12.70 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s414, c_n1)) | (~m_main_v_state1(s414, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s414, c_n1)) | (~m_main_v_state1(s414, c_c1)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33087,plain,
% 17.85/12.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s414, c_n1)) | (~m_main_v_state1(s414, c_c1)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33088,plain,
% 17.85/12.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s414, c_n1)) | (~m_main_v_state1(s414, c_c1))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33087, 33086])).
% 17.85/12.70 tff(33089,plain,
% 17.85/12.70 (~m_main_v_state1(s414, c_n1)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33088, 454, 33085])).
% 17.85/12.70 tff(33090,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s414, c_n1) | (~node11(s414)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s414, c_n1) | (~node11(s414)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33091,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s414, c_n1) | (~node11(s414)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33092,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s414, c_n1) | (~node11(s414))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33091, 33090])).
% 17.85/12.70 tff(33093,plain,
% 17.85/12.70 (~node11(s414)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33092, 238, 33089])).
% 17.85/12.70 tff(33094,plain,
% 17.85/12.70 (succ(s414, s415) <=> succ(s414, s415)),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33095,axiom,(succ(s414, s415)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound415')).
% 17.85/12.70 tff(33096,plain,
% 17.85/12.70 (succ(s414, s415)),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33095, 33094])).
% 17.85/12.70 tff(33097,plain,
% 17.85/12.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s414, s415)) | trans(s414, s415))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s414, s415)) | trans(s414, s415))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33098,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s414, s415)) | trans(s414, s415))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33099,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s414, s415)) | trans(s414, s415)),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33098, 33097])).
% 17.85/12.70 tff(33100,plain,
% 17.85/12.70 (trans(s414, s415)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33099, 33096, 32])).
% 17.85/12.70 tff(33101,plain,
% 17.85/12.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s414, s415)) | node14(s414, s415))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s414, s415)) | node14(s414, s415))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33102,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s414, s415)) | node14(s414, s415))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33103,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s414, s415)) | node14(s414, s415)),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33102, 33101])).
% 17.85/12.70 tff(33104,plain,
% 17.85/12.70 (node14(s414, s415)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33103, 46, 33100])).
% 17.85/12.70 tff(33105,plain,
% 17.85/12.70 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s414, c_c2) | node9(s414) | node8(s414) | node10(s414) | node11(s414) | node12(s414) | node13(s414, s415) | (~node14(s414, s415)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s414, c_c2) | node9(s414) | node8(s414) | node10(s414) | node11(s414) | node12(s414) | node13(s414, s415) | (~node14(s414, s415)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33106,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s414, c_c2) | node9(s414) | node8(s414) | node10(s414) | node11(s414) | node12(s414) | node13(s414, s415) | (~node14(s414, s415)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33107,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s414, c_c2) | node9(s414) | node8(s414) | node10(s414) | node11(s414) | node12(s414) | node13(s414, s415) | (~node14(s414, s415))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33106, 33105])).
% 17.85/12.70 tff(33108,plain,
% 17.85/12.70 (m_main_v_state2(s414, c_c2) | node9(s414) | node8(s414) | node10(s414) | node11(s414) | node12(s414) | node13(s414, s415)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33107, 296, 33104])).
% 17.85/12.70 tff(33109,plain,
% 17.85/12.70 (node13(s414, s415)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33108, 33093, 33050, 33046, 33042, 33038, 33021])).
% 17.85/12.70 tff(33110,plain,
% 17.85/12.70 (((~![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(s414, c_n2) | (~m_main_v_state2(s415, c_n2)) | (~node13(s414, s415)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s414, c_n2) | (~m_main_v_state2(s415, c_n2)) | (~node13(s414, s415)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33111,plain,
% 17.85/12.70 (((~node13(s414, s415)) | m_main_v_state2(s414, c_n2) | (~m_main_v_state2(s415, c_n2))) <=> (m_main_v_state2(s414, c_n2) | (~m_main_v_state2(s415, c_n2)) | (~node13(s414, s415)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33112,plain,
% 17.85/12.70 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s414, s415)) | m_main_v_state2(s414, c_n2) | (~m_main_v_state2(s415, 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(s414, c_n2) | (~m_main_v_state2(s415, c_n2)) | (~node13(s414, s415))))),
% 17.85/12.70 inference(monotonicity,[status(thm)],[33111])).
% 17.85/12.70 tff(33113,plain,
% 17.85/12.70 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s414, s415)) | m_main_v_state2(s414, c_n2) | (~m_main_v_state2(s415, 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(s414, c_n2) | (~m_main_v_state2(s415, c_n2)) | (~node13(s414, s415)))),
% 17.85/12.70 inference(transitivity,[status(thm)],[33112, 33110])).
% 17.85/12.70 tff(33114,plain,
% 17.85/12.70 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s414, s415)) | m_main_v_state2(s414, c_n2) | (~m_main_v_state2(s415, c_n2)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33115,plain,
% 17.85/12.70 ((~![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(s414, c_n2) | (~m_main_v_state2(s415, c_n2)) | (~node13(s414, s415))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33114, 33113])).
% 17.85/12.70 tff(33116,plain,
% 17.85/12.70 (~m_main_v_state2(s415, c_n2)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33115, 311, 33034, 33109])).
% 17.85/12.70 tff(33117,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s415, c_n2) | (~node9(s415)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s415, c_n2) | (~node9(s415)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33118,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s415, c_n2) | (~node9(s415)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33119,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s415, c_n2) | (~node9(s415))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33118, 33117])).
% 17.85/12.70 tff(33120,plain,
% 17.85/12.70 (~node9(s415)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33119, 88, 33116])).
% 17.85/12.70 tff(33121,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s415, c_n2) | (~node10(s415)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s415, c_n2) | (~node10(s415)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33122,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s415, c_n2) | (~node10(s415)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33123,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s415, c_n2) | (~node10(s415))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33122, 33121])).
% 17.85/12.70 tff(33124,plain,
% 17.85/12.70 (~node10(s415)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33123, 249, 33116])).
% 17.85/12.70 tff(33125,plain,
% 17.85/12.70 (((~![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(s414, c_t2)) | m_main_v_state2(s415, c_t2) | (~node13(s414, s415)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s414, c_t2)) | m_main_v_state2(s415, c_t2) | (~node13(s414, s415)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33126,plain,
% 17.85/12.70 (((~node13(s414, s415)) | (~m_main_v_state2(s414, c_t2)) | m_main_v_state2(s415, c_t2)) <=> ((~m_main_v_state2(s414, c_t2)) | m_main_v_state2(s415, c_t2) | (~node13(s414, s415)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33127,plain,
% 17.85/12.70 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s414, s415)) | (~m_main_v_state2(s414, c_t2)) | m_main_v_state2(s415, 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(s414, c_t2)) | m_main_v_state2(s415, c_t2) | (~node13(s414, s415))))),
% 17.85/12.70 inference(monotonicity,[status(thm)],[33126])).
% 17.85/12.70 tff(33128,plain,
% 17.85/12.70 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s414, s415)) | (~m_main_v_state2(s414, c_t2)) | m_main_v_state2(s415, 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(s414, c_t2)) | m_main_v_state2(s415, c_t2) | (~node13(s414, s415)))),
% 17.85/12.70 inference(transitivity,[status(thm)],[33127, 33125])).
% 17.85/12.70 tff(33129,plain,
% 17.85/12.70 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s414, s415)) | (~m_main_v_state2(s414, c_t2)) | m_main_v_state2(s415, c_t2))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33130,plain,
% 17.85/12.70 ((~![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(s414, c_t2)) | m_main_v_state2(s415, c_t2) | (~node13(s414, s415))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33129, 33128])).
% 17.85/12.70 tff(33131,plain,
% 17.85/12.70 (m_main_v_state2(s415, c_t2)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33130, 518, 33030, 33109])).
% 17.85/12.70 tff(33132,plain,
% 17.85/12.70 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s414, c_t1)) | (~m_main_v_state1(s414, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s414, c_t1)) | (~m_main_v_state1(s414, c_c1)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33133,plain,
% 17.85/12.70 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s414, c_t1)) | (~m_main_v_state1(s414, c_c1)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33134,plain,
% 17.85/12.70 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s414, c_t1)) | (~m_main_v_state1(s414, c_c1))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33133, 33132])).
% 17.85/12.70 tff(33135,plain,
% 17.85/12.70 (~m_main_v_state1(s414, c_t1)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33134, 539, 33085])).
% 17.85/12.70 tff(33136,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s414, c_t1) | (~node5(s414)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s414, c_t1) | (~node5(s414)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33137,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s414, c_t1) | (~node5(s414)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33138,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s414, c_t1) | (~node5(s414))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33137, 33136])).
% 17.85/12.70 tff(33139,plain,
% 17.85/12.70 (~node5(s414)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33138, 550, 33135])).
% 17.85/12.70 tff(33140,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s414, c_n2) | (~node4(s414)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s414, c_n2) | (~node4(s414)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33141,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s414, c_n2) | (~node4(s414)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33142,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s414, c_n2) | (~node4(s414))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33141, 33140])).
% 17.85/12.70 tff(33143,plain,
% 17.85/12.70 (~node4(s414)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33142, 388, 33034])).
% 17.85/12.70 tff(33144,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s414, c_c2) | (~node3(s414)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s414, c_c2) | (~node3(s414)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33145,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s414, c_c2) | (~node3(s414)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33146,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s414, c_c2) | (~node3(s414))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33145, 33144])).
% 17.85/12.70 tff(33147,plain,
% 17.85/12.70 (~node3(s414)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33146, 399, 33050])).
% 17.85/12.70 tff(33148,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s414, c_n2) | (~node2(s414)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s414, c_n2) | (~node2(s414)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33149,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s414, c_n2) | (~node2(s414)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33150,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s414, c_n2) | (~node2(s414))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33149, 33148])).
% 17.85/12.70 tff(33151,plain,
% 17.85/12.70 (~node2(s414)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33150, 410, 33034])).
% 17.85/12.70 tff(33152,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s414, c_n1) | (~node1(s414)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s414, c_n1) | (~node1(s414)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33153,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s414, c_n1) | (~node1(s414)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33154,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s414, c_n1) | (~node1(s414))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33153, 33152])).
% 17.85/12.70 tff(33155,plain,
% 17.85/12.70 (~node1(s414)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33154, 421, 33089])).
% 17.85/12.70 tff(33156,plain,
% 17.85/12.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s414, s415)) | node7(s414, s415))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s414, s415)) | node7(s414, s415))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33157,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s414, s415)) | node7(s414, s415))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33158,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s414, s415)) | node7(s414, s415)),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33157, 33156])).
% 17.85/12.70 tff(33159,plain,
% 17.85/12.70 (node7(s414, s415)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33158, 206, 33100])).
% 17.85/12.70 tff(33160,plain,
% 17.85/12.70 (((~![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(s415, c_n1) | (~m_main_v_state1(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414) | (~node7(s414, s415)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s415, c_n1) | (~m_main_v_state1(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414) | (~node7(s414, s415)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33161,plain,
% 17.85/12.70 (((~m_main_v_state1(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414) | (~node7(s414, s415)) | m_main_v_state1(s415, c_n1)) <=> (m_main_v_state1(s415, c_n1) | (~m_main_v_state1(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414) | (~node7(s414, s415)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33162,plain,
% 17.85/12.70 (((~![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(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414) | (~node7(s414, s415)) | m_main_v_state1(s415, 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(s415, c_n1) | (~m_main_v_state1(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414) | (~node7(s414, s415))))),
% 17.85/12.70 inference(monotonicity,[status(thm)],[33161])).
% 17.85/12.70 tff(33163,plain,
% 17.85/12.70 (((~![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(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414) | (~node7(s414, s415)) | m_main_v_state1(s415, 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(s415, c_n1) | (~m_main_v_state1(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414) | (~node7(s414, s415)))),
% 17.85/12.70 inference(transitivity,[status(thm)],[33162, 33160])).
% 17.85/12.70 tff(33164,plain,
% 17.85/12.70 ((~![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(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414) | (~node7(s414, s415)) | m_main_v_state1(s415, c_n1))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33165,plain,
% 17.85/12.70 ((~![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(s415, c_n1) | (~m_main_v_state1(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414) | (~node7(s414, s415))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33164, 33163])).
% 17.85/12.70 tff(33166,plain,
% 17.85/12.70 (m_main_v_state1(s415, c_n1) | (~m_main_v_state1(s414, c_c1)) | node1(s414) | node2(s414) | node3(s414) | node4(s414) | node5(s414)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33165, 584, 33159])).
% 17.85/12.70 tff(33167,plain,
% 17.85/12.70 (m_main_v_state1(s415, c_n1)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33166, 33155, 33085, 33151, 33147, 33143, 33139])).
% 17.85/12.70 tff(33168,plain,
% 17.85/12.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s415, c_n2) | (~node8(s415)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s415, c_n2) | (~node8(s415)))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33169,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s415, c_n2) | (~node8(s415)))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33170,plain,
% 17.85/12.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s415, c_n2) | (~node8(s415))),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33169, 33168])).
% 17.85/12.70 tff(33171,plain,
% 17.85/12.70 (~node8(s415)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33170, 271, 33116])).
% 17.85/12.70 tff(33172,plain,
% 17.85/12.70 (succ(s415, s416) <=> succ(s415, s416)),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33173,axiom,(succ(s415, s416)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound416')).
% 17.85/12.70 tff(33174,plain,
% 17.85/12.70 (succ(s415, s416)),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33173, 33172])).
% 17.85/12.70 tff(33175,plain,
% 17.85/12.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s415, s416)) | trans(s415, s416))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s415, s416)) | trans(s415, s416))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33176,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s415, s416)) | trans(s415, s416))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.70 tff(33177,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s415, s416)) | trans(s415, s416)),
% 17.85/12.70 inference(modus_ponens,[status(thm)],[33176, 33175])).
% 17.85/12.70 tff(33178,plain,
% 17.85/12.70 (trans(s415, s416)),
% 17.85/12.70 inference(unit_resolution,[status(thm)],[33177, 33174, 32])).
% 17.85/12.70 tff(33179,plain,
% 17.85/12.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s415, s416)) | node14(s415, s416))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s415, s416)) | node14(s415, s416))),
% 17.85/12.70 inference(rewrite,[status(thm)],[])).
% 17.85/12.70 tff(33180,plain,
% 17.85/12.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s415, s416)) | node14(s415, s416))),
% 17.85/12.70 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33181,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s415, s416)) | node14(s415, s416)),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33180, 33179])).
% 17.85/12.71 tff(33182,plain,
% 17.85/12.71 (node14(s415, s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33181, 46, 33178])).
% 17.85/12.71 tff(33183,plain,
% 17.85/12.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | node9(s415) | node8(s415) | node10(s415) | (~node14(s415, s416)) | m_main_v_state2(s416, 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(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | node9(s415) | node8(s415) | node10(s415) | (~node14(s415, s416)) | m_main_v_state2(s416, c_c2))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33184,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | node9(s415) | node8(s415) | node10(s415) | (~node14(s415, s416)) | m_main_v_state2(s416, c_c2))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33185,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | node9(s415) | node8(s415) | node10(s415) | (~node14(s415, s416)) | m_main_v_state2(s416, c_c2)),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33184, 33183])).
% 17.85/12.71 tff(33186,plain,
% 17.85/12.71 ((~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | node9(s415) | node8(s415) | node10(s415) | m_main_v_state2(s416, c_c2)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33185, 617, 33182])).
% 17.85/12.71 tff(33187,plain,
% 17.85/12.71 (m_main_v_state2(s416, c_c2)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33186, 33171, 33167, 33131, 33124, 33120])).
% 17.85/12.71 tff(33188,plain,
% 17.85/12.71 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s416, c_t2)) | (~m_main_v_state2(s416, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s416, c_t2)) | (~m_main_v_state2(s416, c_c2)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33189,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s416, c_t2)) | (~m_main_v_state2(s416, c_c2)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33190,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s416, c_t2)) | (~m_main_v_state2(s416, c_c2))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33189, 33188])).
% 17.85/12.71 tff(33191,plain,
% 17.85/12.71 (~m_main_v_state2(s416, c_t2)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33190, 260, 33187])).
% 17.85/12.71 tff(33192,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s416, c_t2) | (~node12(s416)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s416, c_t2) | (~node12(s416)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33193,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s416, c_t2) | (~node12(s416)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33194,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s416, c_t2) | (~node12(s416))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33193, 33192])).
% 17.85/12.71 tff(33195,plain,
% 17.85/12.71 (~node12(s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33194, 633, 33191])).
% 17.85/12.71 tff(33196,plain,
% 17.85/12.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s415, s416)) | node7(s415, s416))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s415, s416)) | node7(s415, s416))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33197,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s415, s416)) | node7(s415, s416))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33198,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s415, s416)) | node7(s415, s416)),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33197, 33196])).
% 17.85/12.71 tff(33199,plain,
% 17.85/12.71 (node7(s415, s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33198, 206, 33178])).
% 17.85/12.71 tff(33200,plain,
% 17.85/12.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | (~node7(s415, s416)) | m_main_v_state1(s416, 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(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | (~node7(s415, s416)) | m_main_v_state1(s416, c_t1))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33201,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | (~node7(s415, s416)) | m_main_v_state1(s416, c_t1))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33202,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | (~node7(s415, s416)) | m_main_v_state1(s416, c_t1)),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33201, 33200])).
% 17.85/12.71 tff(33203,plain,
% 17.85/12.71 ((~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | m_main_v_state1(s416, c_t1)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33202, 651, 33199])).
% 17.85/12.71 tff(33204,plain,
% 17.85/12.71 (m_main_v_state1(s416, c_t1)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33203, 33131, 33167])).
% 17.85/12.71 tff(33205,plain,
% 17.85/12.71 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s416, c_n1)) | (~m_main_v_state1(s416, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s416, c_n1)) | (~m_main_v_state1(s416, c_t1)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33206,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s416, c_n1)) | (~m_main_v_state1(s416, c_t1)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33207,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s416, c_n1)) | (~m_main_v_state1(s416, c_t1))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33206, 33205])).
% 17.85/12.71 tff(33208,plain,
% 17.85/12.71 (~m_main_v_state1(s416, c_n1)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33207, 10, 33204])).
% 17.85/12.71 tff(33209,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s416, c_n1) | (~node11(s416)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s416, c_n1) | (~node11(s416)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33210,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s416, c_n1) | (~node11(s416)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33211,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s416, c_n1) | (~node11(s416))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33210, 33209])).
% 17.85/12.71 tff(33212,plain,
% 17.85/12.71 (~node11(s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33211, 238, 33208])).
% 17.85/12.71 tff(33213,plain,
% 17.85/12.71 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s416, c_t1)) | (~m_main_v_state1(s416, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s416, c_t1)) | (~m_main_v_state1(s416, c_c1)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33214,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s416, c_t1)) | (~m_main_v_state1(s416, c_c1)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33215,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s416, c_t1)) | (~m_main_v_state1(s416, c_c1))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33214, 33213])).
% 17.85/12.71 tff(33216,plain,
% 17.85/12.71 (~m_main_v_state1(s416, c_c1)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33215, 539, 33204])).
% 17.85/12.71 tff(33217,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s416, c_c1) | (~node10(s416)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s416, c_c1) | (~node10(s416)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33218,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s416, c_c1) | (~node10(s416)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33219,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s416, c_c1) | (~node10(s416))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33218, 33217])).
% 17.85/12.71 tff(33220,plain,
% 17.85/12.71 (~node10(s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33219, 675, 33216])).
% 17.85/12.71 tff(33221,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s416, c_n1) | (~node9(s416)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s416, c_n1) | (~node9(s416)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33222,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s416, c_n1) | (~node9(s416)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33223,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s416, c_n1) | (~node9(s416))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33222, 33221])).
% 17.85/12.71 tff(33224,plain,
% 17.85/12.71 (~node9(s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33223, 686, 33208])).
% 17.85/12.71 tff(33225,plain,
% 17.85/12.71 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s416, c_n2)) | (~m_main_v_state2(s416, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s416, c_n2)) | (~m_main_v_state2(s416, c_c2)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33226,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s416, c_n2)) | (~m_main_v_state2(s416, c_c2)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33227,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s416, c_n2)) | (~m_main_v_state2(s416, c_c2))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33226, 33225])).
% 17.85/12.71 tff(33228,plain,
% 17.85/12.71 (~m_main_v_state2(s416, c_n2)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33227, 697, 33187])).
% 17.85/12.71 tff(33229,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s416, c_n2) | (~node8(s416)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s416, c_n2) | (~node8(s416)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33230,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s416, c_n2) | (~node8(s416)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33231,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s416, c_n2) | (~node8(s416))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33230, 33229])).
% 17.85/12.71 tff(33232,plain,
% 17.85/12.71 (~node8(s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33231, 271, 33228])).
% 17.85/12.71 tff(33233,plain,
% 17.85/12.71 (succ(s416, s417) <=> succ(s416, s417)),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33234,axiom,(succ(s416, s417)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound417')).
% 17.85/12.71 tff(33235,plain,
% 17.85/12.71 (succ(s416, s417)),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33234, 33233])).
% 17.85/12.71 tff(33236,plain,
% 17.85/12.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s416, s417)) | trans(s416, s417))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s416, s417)) | trans(s416, s417))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33237,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s416, s417)) | trans(s416, s417))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33238,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s416, s417)) | trans(s416, s417)),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33237, 33236])).
% 17.85/12.71 tff(33239,plain,
% 17.85/12.71 (trans(s416, s417)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33238, 33235, 32])).
% 17.85/12.71 tff(33240,plain,
% 17.85/12.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s416, s417)) | node14(s416, s417))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s416, s417)) | node14(s416, s417))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33241,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s416, s417)) | node14(s416, s417))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33242,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s416, s417)) | node14(s416, s417)),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33241, 33240])).
% 17.85/12.71 tff(33243,plain,
% 17.85/12.71 (node14(s416, s417)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33242, 46, 33239])).
% 17.85/12.71 tff(33244,plain,
% 17.85/12.71 (((~![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(s417, c_n2) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~node14(s416, s417)) | (~m_main_v_state2(s416, 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(s417, c_n2) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~node14(s416, s417)) | (~m_main_v_state2(s416, c_c2)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33245,plain,
% 17.85/12.71 (((~m_main_v_state2(s416, c_c2)) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~node14(s416, s417)) | m_main_v_state2(s417, c_n2)) <=> (m_main_v_state2(s417, c_n2) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~node14(s416, s417)) | (~m_main_v_state2(s416, c_c2)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33246,plain,
% 17.85/12.71 (((~![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(s416, c_c2)) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~node14(s416, s417)) | m_main_v_state2(s417, 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(s417, c_n2) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~node14(s416, s417)) | (~m_main_v_state2(s416, c_c2))))),
% 17.85/12.71 inference(monotonicity,[status(thm)],[33245])).
% 17.85/12.71 tff(33247,plain,
% 17.85/12.71 (((~![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(s416, c_c2)) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~node14(s416, s417)) | m_main_v_state2(s417, 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(s417, c_n2) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~node14(s416, s417)) | (~m_main_v_state2(s416, c_c2)))),
% 17.85/12.71 inference(transitivity,[status(thm)],[33246, 33244])).
% 17.85/12.71 tff(33248,plain,
% 17.85/12.71 ((~![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(s416, c_c2)) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~node14(s416, s417)) | m_main_v_state2(s417, c_n2))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33249,plain,
% 17.85/12.71 ((~![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(s417, c_n2) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~node14(s416, s417)) | (~m_main_v_state2(s416, c_c2))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33248, 33247])).
% 17.85/12.71 tff(33250,plain,
% 17.85/12.71 (m_main_v_state2(s417, c_n2) | node9(s416) | node8(s416) | node10(s416) | node11(s416) | node12(s416) | (~m_main_v_state2(s416, c_c2))),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33249, 726, 33243])).
% 17.85/12.71 tff(33251,plain,
% 17.85/12.71 (m_main_v_state2(s417, c_n2)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33250, 33232, 33187, 33224, 33220, 33212, 33195])).
% 17.85/12.71 tff(33252,plain,
% 17.85/12.71 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s417, c_n2)) | (~m_main_v_state2(s417, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s417, c_n2)) | (~m_main_v_state2(s417, c_c2)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33253,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s417, c_n2)) | (~m_main_v_state2(s417, c_c2)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33254,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s417, c_n2)) | (~m_main_v_state2(s417, c_c2))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33253, 33252])).
% 17.85/12.71 tff(33255,plain,
% 17.85/12.71 (~m_main_v_state2(s417, c_c2)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33254, 697, 33251])).
% 17.85/12.71 tff(33256,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s417, c_c2) | (~node3(s417)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s417, c_c2) | (~node3(s417)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33257,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s417, c_c2) | (~node3(s417)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33258,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s417, c_c2) | (~node3(s417))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33257, 33256])).
% 17.85/12.71 tff(33259,plain,
% 17.85/12.71 (~node3(s417)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33258, 399, 33255])).
% 17.85/12.71 tff(33260,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s416, c_n1) | (~node1(s416)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s416, c_n1) | (~node1(s416)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33261,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s416, c_n1) | (~node1(s416)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33262,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s416, c_n1) | (~node1(s416))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33261, 33260])).
% 17.85/12.71 tff(33263,plain,
% 17.85/12.71 (~node1(s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33262, 421, 33208])).
% 17.85/12.71 tff(33264,plain,
% 17.85/12.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s415, s416)) | node18(s415, s416))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s415, s416)) | node18(s415, s416))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33265,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s415, s416)) | node18(s415, s416))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33266,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s415, s416)) | node18(s415, s416)),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33265, 33264])).
% 17.85/12.71 tff(33267,plain,
% 17.85/12.71 (node18(s415, s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33266, 125, 33178])).
% 17.85/12.71 tff(33268,plain,
% 17.85/12.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | (~node18(s415, s416)) | m_main_v_turn(s416, 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(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | (~node18(s415, s416)) | m_main_v_turn(s416, c_2))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33269,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | (~node18(s415, s416)) | m_main_v_turn(s416, c_2))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33270,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | (~node18(s415, s416)) | m_main_v_turn(s416, c_2)),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33269, 33268])).
% 17.85/12.71 tff(33271,plain,
% 17.85/12.71 ((~m_main_v_state1(s415, c_n1)) | (~m_main_v_state2(s415, c_t2)) | m_main_v_turn(s416, c_2)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33270, 760, 33267])).
% 17.85/12.71 tff(33272,plain,
% 17.85/12.71 (m_main_v_turn(s416, c_2)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33271, 33131, 33167])).
% 17.85/12.71 tff(33273,plain,
% 17.85/12.71 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s416, c_1)) | (~m_main_v_turn(s416, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s416, c_1)) | (~m_main_v_turn(s416, c_2)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33274,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s416, c_1)) | (~m_main_v_turn(s416, c_2)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33275,plain,
% 17.85/12.71 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s416, c_1)) | (~m_main_v_turn(s416, c_2))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33274, 33273])).
% 17.85/12.71 tff(33276,plain,
% 17.85/12.71 (~m_main_v_turn(s416, c_1)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33275, 156, 33272])).
% 17.85/12.71 tff(33277,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s416, c_1) | (~node5(s416)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s416, c_1) | (~node5(s416)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33278,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s416, c_1) | (~node5(s416)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33279,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s416, c_1) | (~node5(s416))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33278, 33277])).
% 17.85/12.71 tff(33280,plain,
% 17.85/12.71 (~node5(s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33279, 776, 33276])).
% 17.85/12.71 tff(33281,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s416, c_n1) | (~node2(s416)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s416, c_n1) | (~node2(s416)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33282,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s416, c_n1) | (~node2(s416)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33283,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s416, c_n1) | (~node2(s416))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33282, 33281])).
% 17.85/12.71 tff(33284,plain,
% 17.85/12.71 (~node2(s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33283, 787, 33208])).
% 17.85/12.71 tff(33285,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s416, c_n1) | (~node3(s416)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s416, c_n1) | (~node3(s416)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33286,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s416, c_n1) | (~node3(s416)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33287,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s416, c_n1) | (~node3(s416))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33286, 33285])).
% 17.85/12.71 tff(33288,plain,
% 17.85/12.71 (~node3(s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33287, 798, 33208])).
% 17.85/12.71 tff(33289,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s416, c_n2) | (~node4(s416)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s416, c_n2) | (~node4(s416)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33290,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s416, c_n2) | (~node4(s416)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33291,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s416, c_n2) | (~node4(s416))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33290, 33289])).
% 17.85/12.71 tff(33292,plain,
% 17.85/12.71 (~node4(s416)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33291, 388, 33228])).
% 17.85/12.71 tff(33293,plain,
% 17.85/12.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s416, s417)) | node7(s416, s417))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s416, s417)) | node7(s416, s417))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33294,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s416, s417)) | node7(s416, s417))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33295,plain,
% 17.85/12.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s416, s417)) | node7(s416, s417)),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33294, 33293])).
% 17.85/12.71 tff(33296,plain,
% 17.85/12.71 (node7(s416, s417)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33295, 206, 33239])).
% 17.85/12.71 tff(33297,plain,
% 17.85/12.71 (((~![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(s416, c_c1) | node1(s416) | node2(s416) | node3(s416) | node4(s416) | node5(s416) | node6(s416, s417) | (~node7(s416, s417)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s416, c_c1) | node1(s416) | node2(s416) | node3(s416) | node4(s416) | node5(s416) | node6(s416, s417) | (~node7(s416, s417)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33298,plain,
% 17.85/12.71 ((~![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(s416, c_c1) | node1(s416) | node2(s416) | node3(s416) | node4(s416) | node5(s416) | node6(s416, s417) | (~node7(s416, s417)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33299,plain,
% 17.85/12.71 ((~![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(s416, c_c1) | node1(s416) | node2(s416) | node3(s416) | node4(s416) | node5(s416) | node6(s416, s417) | (~node7(s416, s417))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33298, 33297])).
% 17.85/12.71 tff(33300,plain,
% 17.85/12.71 (m_main_v_state1(s416, c_c1) | node1(s416) | node2(s416) | node3(s416) | node4(s416) | node5(s416) | node6(s416, s417)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33299, 820, 33296])).
% 17.85/12.71 tff(33301,plain,
% 17.85/12.71 (node6(s416, s417)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33300, 33292, 33216, 33288, 33284, 33280, 33263])).
% 17.85/12.71 tff(33302,plain,
% 17.85/12.71 (((~![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(s416, c_n1) | (~m_main_v_state1(s417, c_n1)) | (~node6(s416, s417)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s416, c_n1) | (~m_main_v_state1(s417, c_n1)) | (~node6(s416, s417)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33303,plain,
% 17.85/12.71 (((~node6(s416, s417)) | m_main_v_state1(s416, c_n1) | (~m_main_v_state1(s417, c_n1))) <=> (m_main_v_state1(s416, c_n1) | (~m_main_v_state1(s417, c_n1)) | (~node6(s416, s417)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33304,plain,
% 17.85/12.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s416, s417)) | m_main_v_state1(s416, c_n1) | (~m_main_v_state1(s417, 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(s416, c_n1) | (~m_main_v_state1(s417, c_n1)) | (~node6(s416, s417))))),
% 17.85/12.71 inference(monotonicity,[status(thm)],[33303])).
% 17.85/12.71 tff(33305,plain,
% 17.85/12.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s416, s417)) | m_main_v_state1(s416, c_n1) | (~m_main_v_state1(s417, 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(s416, c_n1) | (~m_main_v_state1(s417, c_n1)) | (~node6(s416, s417)))),
% 17.85/12.71 inference(transitivity,[status(thm)],[33304, 33302])).
% 17.85/12.71 tff(33306,plain,
% 17.85/12.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s416, s417)) | m_main_v_state1(s416, c_n1) | (~m_main_v_state1(s417, c_n1)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33307,plain,
% 17.85/12.71 ((~![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(s416, c_n1) | (~m_main_v_state1(s417, c_n1)) | (~node6(s416, s417))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33306, 33305])).
% 17.85/12.71 tff(33308,plain,
% 17.85/12.71 (~m_main_v_state1(s417, c_n1)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33307, 835, 33208, 33301])).
% 17.85/12.71 tff(33309,plain,
% 17.85/12.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s417, c_n1) | (~node2(s417)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s417, c_n1) | (~node2(s417)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33310,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s417, c_n1) | (~node2(s417)))),
% 17.85/12.71 inference(quant_inst,[status(thm)],[])).
% 17.85/12.71 tff(33311,plain,
% 17.85/12.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s417, c_n1) | (~node2(s417))),
% 17.85/12.71 inference(modus_ponens,[status(thm)],[33310, 33309])).
% 17.85/12.71 tff(33312,plain,
% 17.85/12.71 (~node2(s417)),
% 17.85/12.71 inference(unit_resolution,[status(thm)],[33311, 787, 33308])).
% 17.85/12.71 tff(33313,plain,
% 17.85/12.71 (((~![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(s416, c_t1)) | m_main_v_state1(s417, c_t1) | (~node6(s416, s417)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s416, c_t1)) | m_main_v_state1(s417, c_t1) | (~node6(s416, s417)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33314,plain,
% 17.85/12.71 (((~node6(s416, s417)) | (~m_main_v_state1(s416, c_t1)) | m_main_v_state1(s417, c_t1)) <=> ((~m_main_v_state1(s416, c_t1)) | m_main_v_state1(s417, c_t1) | (~node6(s416, s417)))),
% 17.85/12.71 inference(rewrite,[status(thm)],[])).
% 17.85/12.71 tff(33315,plain,
% 17.85/12.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s416, s417)) | (~m_main_v_state1(s416, c_t1)) | m_main_v_state1(s417, 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(s416, c_t1)) | m_main_v_state1(s417, c_t1) | (~node6(s416, s417))))),
% 17.85/12.71 inference(monotonicity,[status(thm)],[33314])).
% 17.85/12.71 tff(33316,plain,
% 17.85/12.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s416, s417)) | (~m_main_v_state1(s416, c_t1)) | m_main_v_state1(s417, 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(s416, c_t1)) | m_main_v_state1(s417, c_t1) | (~node6(s416, s417)))),
% 17.85/12.71 inference(transitivity,[status(thm)],[33315, 33313])).
% 17.85/12.71 tff(33317,plain,
% 17.85/12.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s416, s417)) | (~m_main_v_state1(s416, c_t1)) | m_main_v_state1(s417, c_t1))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33318,plain,
% 17.85/12.72 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s416, c_t1)) | m_main_v_state1(s417, c_t1) | (~node6(s416, s417))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33317, 33316])).
% 17.85/12.72 tff(33319,plain,
% 17.85/12.72 (m_main_v_state1(s417, c_t1)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33318, 856, 33204, 33301])).
% 17.85/12.72 tff(33320,plain,
% 17.85/12.72 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s417, c_n2)) | (~m_main_v_state2(s417, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s417, c_n2)) | (~m_main_v_state2(s417, c_t2)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33321,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s417, c_n2)) | (~m_main_v_state2(s417, c_t2)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33322,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s417, c_n2)) | (~m_main_v_state2(s417, c_t2))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33321, 33320])).
% 17.85/12.72 tff(33323,plain,
% 17.85/12.72 (~m_main_v_state2(s417, c_t2)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33322, 77, 33251])).
% 17.85/12.72 tff(33324,plain,
% 17.85/12.72 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s417, c_t2) | (~node1(s417)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s417, c_t2) | (~node1(s417)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33325,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s417, c_t2) | (~node1(s417)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33326,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s417, c_t2) | (~node1(s417))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33325, 33324])).
% 17.85/12.72 tff(33327,plain,
% 17.85/12.72 (~node1(s417)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33326, 195, 33323])).
% 17.85/12.72 tff(33328,plain,
% 17.85/12.72 (succ(s417, s418) <=> succ(s417, s418)),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33329,axiom,(succ(s417, s418)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound418')).
% 17.85/12.72 tff(33330,plain,
% 17.85/12.72 (succ(s417, s418)),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33329, 33328])).
% 17.85/12.72 tff(33331,plain,
% 17.85/12.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s417, s418)) | trans(s417, s418))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s417, s418)) | trans(s417, s418))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33332,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s417, s418)) | trans(s417, s418))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33333,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s417, s418)) | trans(s417, s418)),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33332, 33331])).
% 17.85/12.72 tff(33334,plain,
% 17.85/12.72 (trans(s417, s418)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33333, 33330, 32])).
% 17.85/12.72 tff(33335,plain,
% 17.85/12.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s417, s418)) | node7(s417, s418))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s417, s418)) | node7(s417, s418))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33336,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s417, s418)) | node7(s417, s418))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33337,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s417, s418)) | node7(s417, s418)),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33336, 33335])).
% 17.85/12.72 tff(33338,plain,
% 17.85/12.72 (node7(s417, s418)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33337, 206, 33334])).
% 17.85/12.72 tff(33339,plain,
% 17.85/12.72 (((~![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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_state1(s418, c_c1) | node1(s417) | node2(s417) | node3(s417) | (~node7(s417, s418)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_state1(s418, c_c1) | node1(s417) | node2(s417) | node3(s417) | (~node7(s417, s418)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33340,plain,
% 17.85/12.72 (((~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | node1(s417) | node2(s417) | node3(s417) | (~node7(s417, s418)) | m_main_v_state1(s418, c_c1)) <=> ((~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_state1(s418, c_c1) | node1(s417) | node2(s417) | node3(s417) | (~node7(s417, s418)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33341,plain,
% 17.85/12.72 (((~![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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | node1(s417) | node2(s417) | node3(s417) | (~node7(s417, s418)) | m_main_v_state1(s418, 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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_state1(s418, c_c1) | node1(s417) | node2(s417) | node3(s417) | (~node7(s417, s418))))),
% 17.85/12.72 inference(monotonicity,[status(thm)],[33340])).
% 17.85/12.72 tff(33342,plain,
% 17.85/12.72 (((~![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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | node1(s417) | node2(s417) | node3(s417) | (~node7(s417, s418)) | m_main_v_state1(s418, 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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_state1(s418, c_c1) | node1(s417) | node2(s417) | node3(s417) | (~node7(s417, s418)))),
% 17.85/12.72 inference(transitivity,[status(thm)],[33341, 33339])).
% 17.85/12.72 tff(33343,plain,
% 17.85/12.72 ((~![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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | node1(s417) | node2(s417) | node3(s417) | (~node7(s417, s418)) | m_main_v_state1(s418, c_c1))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33344,plain,
% 17.85/12.72 ((~![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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_state1(s418, c_c1) | node1(s417) | node2(s417) | node3(s417) | (~node7(s417, s418))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33343, 33342])).
% 17.85/12.72 tff(33345,plain,
% 17.85/12.72 ((~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_state1(s418, c_c1) | node1(s417) | node2(s417) | node3(s417)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33344, 892, 33338])).
% 17.85/12.72 tff(33346,plain,
% 17.85/12.72 (m_main_v_state1(s418, c_c1)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33345, 33327, 33251, 33319, 33312, 33259])).
% 17.85/12.72 tff(33347,plain,
% 17.85/12.72 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s418, c_t1)) | (~m_main_v_state1(s418, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s418, c_t1)) | (~m_main_v_state1(s418, c_c1)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33348,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s418, c_t1)) | (~m_main_v_state1(s418, c_c1)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33349,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s418, c_t1)) | (~m_main_v_state1(s418, c_c1))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33348, 33347])).
% 17.85/12.72 tff(33350,plain,
% 17.85/12.72 (~m_main_v_state1(s418, c_t1)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33349, 539, 33346])).
% 17.85/12.72 tff(33351,plain,
% 17.85/12.72 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s418, c_t1) | (~node5(s418)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s418, c_t1) | (~node5(s418)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33352,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s418, c_t1) | (~node5(s418)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33353,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s418, c_t1) | (~node5(s418))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33352, 33351])).
% 17.85/12.72 tff(33354,plain,
% 17.85/12.72 (~node5(s418)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33353, 550, 33350])).
% 17.85/12.72 tff(33355,plain,
% 17.85/12.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s417, s418)) | node14(s417, s418))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s417, s418)) | node14(s417, s418))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33356,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s417, s418)) | node14(s417, s418))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33357,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s417, s418)) | node14(s417, s418)),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33356, 33355])).
% 17.85/12.72 tff(33358,plain,
% 17.85/12.72 (node14(s417, s418)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33357, 46, 33334])).
% 17.85/12.72 tff(33359,plain,
% 17.85/12.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | (~node14(s417, s418)) | m_main_v_state2(s418, 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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | (~node14(s417, s418)) | m_main_v_state2(s418, c_t2))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33360,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | (~node14(s417, s418)) | m_main_v_state2(s418, c_t2))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33361,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | (~node14(s417, s418)) | m_main_v_state2(s418, c_t2)),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33360, 33359])).
% 17.85/12.72 tff(33362,plain,
% 17.85/12.72 ((~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_state2(s418, c_t2)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33361, 922, 33358])).
% 17.85/12.72 tff(33363,plain,
% 17.85/12.72 (m_main_v_state2(s418, c_t2)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33362, 33319, 33251])).
% 17.85/12.72 tff(33364,plain,
% 17.85/12.72 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s418, c_n2)) | (~m_main_v_state2(s418, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s418, c_n2)) | (~m_main_v_state2(s418, c_t2)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33365,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s418, c_n2)) | (~m_main_v_state2(s418, c_t2)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33366,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s418, c_n2)) | (~m_main_v_state2(s418, c_t2))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33365, 33364])).
% 17.85/12.72 tff(33367,plain,
% 17.85/12.72 (~m_main_v_state2(s418, c_n2)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33366, 77, 33363])).
% 17.85/12.72 tff(33368,plain,
% 17.85/12.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s418, c_n2) | (~node4(s418)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s418, c_n2) | (~node4(s418)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33369,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s418, c_n2) | (~node4(s418)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33370,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s418, c_n2) | (~node4(s418))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33369, 33368])).
% 17.85/12.72 tff(33371,plain,
% 17.85/12.72 (~node4(s418)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33370, 388, 33367])).
% 17.85/12.72 tff(33372,plain,
% 17.85/12.72 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s418, c_t2)) | (~m_main_v_state2(s418, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s418, c_t2)) | (~m_main_v_state2(s418, c_c2)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33373,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s418, c_t2)) | (~m_main_v_state2(s418, c_c2)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33374,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s418, c_t2)) | (~m_main_v_state2(s418, c_c2))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33373, 33372])).
% 17.85/12.72 tff(33375,plain,
% 17.85/12.72 (~m_main_v_state2(s418, c_c2)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33374, 260, 33363])).
% 17.85/12.72 tff(33376,plain,
% 17.85/12.72 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s418, c_c2) | (~node3(s418)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s418, c_c2) | (~node3(s418)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33377,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s418, c_c2) | (~node3(s418)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33378,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s418, c_c2) | (~node3(s418))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33377, 33376])).
% 17.85/12.72 tff(33379,plain,
% 17.85/12.72 (~node3(s418)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33378, 399, 33375])).
% 17.85/12.72 tff(33380,plain,
% 17.85/12.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s418, c_n2) | (~node2(s418)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s418, c_n2) | (~node2(s418)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33381,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s418, c_n2) | (~node2(s418)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33382,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s418, c_n2) | (~node2(s418))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33381, 33380])).
% 17.85/12.72 tff(33383,plain,
% 17.85/12.72 (~node2(s418)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33382, 410, 33367])).
% 17.85/12.72 tff(33384,plain,
% 17.85/12.72 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s418, c_n1)) | (~m_main_v_state1(s418, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s418, c_n1)) | (~m_main_v_state1(s418, c_c1)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33385,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s418, c_n1)) | (~m_main_v_state1(s418, c_c1)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33386,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s418, c_n1)) | (~m_main_v_state1(s418, c_c1))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33385, 33384])).
% 17.85/12.72 tff(33387,plain,
% 17.85/12.72 (~m_main_v_state1(s418, c_n1)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33386, 454, 33346])).
% 17.85/12.72 tff(33388,plain,
% 17.85/12.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s418, c_n1) | (~node1(s418)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s418, c_n1) | (~node1(s418)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33389,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s418, c_n1) | (~node1(s418)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33390,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s418, c_n1) | (~node1(s418))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33389, 33388])).
% 17.85/12.72 tff(33391,plain,
% 17.85/12.72 (~node1(s418)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33390, 421, 33387])).
% 17.85/12.72 tff(33392,plain,
% 17.85/12.72 (succ(s418, s419) <=> succ(s418, s419)),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33393,axiom,(succ(s418, s419)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound419')).
% 17.85/12.72 tff(33394,plain,
% 17.85/12.72 (succ(s418, s419)),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33393, 33392])).
% 17.85/12.72 tff(33395,plain,
% 17.85/12.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s418, s419)) | trans(s418, s419))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s418, s419)) | trans(s418, s419))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33396,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s418, s419)) | trans(s418, s419))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33397,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s418, s419)) | trans(s418, s419)),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33396, 33395])).
% 17.85/12.72 tff(33398,plain,
% 17.85/12.72 (trans(s418, s419)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33397, 33394, 32])).
% 17.85/12.72 tff(33399,plain,
% 17.85/12.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s418, s419)) | node7(s418, s419))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s418, s419)) | node7(s418, s419))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33400,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s418, s419)) | node7(s418, s419))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33401,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s418, s419)) | node7(s418, s419)),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33400, 33399])).
% 17.85/12.72 tff(33402,plain,
% 17.85/12.72 (node7(s418, s419)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33401, 206, 33398])).
% 17.85/12.72 tff(33403,plain,
% 17.85/12.72 (((~![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(s419, c_n1) | (~m_main_v_state1(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418) | (~node7(s418, s419)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s419, c_n1) | (~m_main_v_state1(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418) | (~node7(s418, s419)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33404,plain,
% 17.85/12.72 (((~m_main_v_state1(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418) | (~node7(s418, s419)) | m_main_v_state1(s419, c_n1)) <=> (m_main_v_state1(s419, c_n1) | (~m_main_v_state1(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418) | (~node7(s418, s419)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33405,plain,
% 17.85/12.72 (((~![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(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418) | (~node7(s418, s419)) | m_main_v_state1(s419, 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(s419, c_n1) | (~m_main_v_state1(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418) | (~node7(s418, s419))))),
% 17.85/12.72 inference(monotonicity,[status(thm)],[33404])).
% 17.85/12.72 tff(33406,plain,
% 17.85/12.72 (((~![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(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418) | (~node7(s418, s419)) | m_main_v_state1(s419, 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(s419, c_n1) | (~m_main_v_state1(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418) | (~node7(s418, s419)))),
% 17.85/12.72 inference(transitivity,[status(thm)],[33405, 33403])).
% 17.85/12.72 tff(33407,plain,
% 17.85/12.72 ((~![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(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418) | (~node7(s418, s419)) | m_main_v_state1(s419, c_n1))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33408,plain,
% 17.85/12.72 ((~![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(s419, c_n1) | (~m_main_v_state1(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418) | (~node7(s418, s419))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33407, 33406])).
% 17.85/12.72 tff(33409,plain,
% 17.85/12.72 (m_main_v_state1(s419, c_n1) | (~m_main_v_state1(s418, c_c1)) | node1(s418) | node2(s418) | node3(s418) | node4(s418) | node5(s418)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33408, 584, 33402])).
% 17.85/12.72 tff(33410,plain,
% 17.85/12.72 (m_main_v_state1(s419, c_n1)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33409, 33391, 33346, 33383, 33379, 33371, 33354])).
% 17.85/12.72 tff(33411,plain,
% 17.85/12.72 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s417, c_t2) | (~node15(s417)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s417, c_t2) | (~node15(s417)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33412,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s417, c_t2) | (~node15(s417)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33413,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s417, c_t2) | (~node15(s417))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33412, 33411])).
% 17.85/12.72 tff(33414,plain,
% 17.85/12.72 (~node15(s417)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33413, 103, 33323])).
% 17.85/12.72 tff(33415,plain,
% 17.85/12.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s417, s418)) | node18(s417, s418))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s417, s418)) | node18(s417, s418))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33416,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s417, s418)) | node18(s417, s418))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33417,plain,
% 17.85/12.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s417, s418)) | node18(s417, s418)),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33416, 33415])).
% 17.85/12.72 tff(33418,plain,
% 17.85/12.72 (node18(s417, s418)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33417, 125, 33334])).
% 17.85/12.72 tff(33419,plain,
% 17.85/12.72 (((~![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(s417) | (~node18(s417, s418)) | (~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_turn(s418, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s417) | (~node18(s417, s418)) | (~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_turn(s418, c_1))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33420,plain,
% 17.85/12.72 (((~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | node15(s417) | (~node18(s417, s418)) | m_main_v_turn(s418, c_1)) <=> (node15(s417) | (~node18(s417, s418)) | (~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_turn(s418, c_1))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33421,plain,
% 17.85/12.72 (((~![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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | node15(s417) | (~node18(s417, s418)) | m_main_v_turn(s418, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s417) | (~node18(s417, s418)) | (~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_turn(s418, c_1)))),
% 17.85/12.72 inference(monotonicity,[status(thm)],[33420])).
% 17.85/12.72 tff(33422,plain,
% 17.85/12.72 (((~![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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | node15(s417) | (~node18(s417, s418)) | m_main_v_turn(s418, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s417) | (~node18(s417, s418)) | (~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_turn(s418, c_1))),
% 17.85/12.72 inference(transitivity,[status(thm)],[33421, 33419])).
% 17.85/12.72 tff(33423,plain,
% 17.85/12.72 ((~![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(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | node15(s417) | (~node18(s417, s418)) | m_main_v_turn(s418, c_1))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33424,plain,
% 17.85/12.72 ((~![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(s417) | (~node18(s417, s418)) | (~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_turn(s418, c_1)),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33423, 33422])).
% 17.85/12.72 tff(33425,plain,
% 17.85/12.72 (node15(s417) | (~m_main_v_state1(s417, c_t1)) | (~m_main_v_state2(s417, c_n2)) | m_main_v_turn(s418, c_1)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33424, 992, 33418])).
% 17.85/12.72 tff(33426,plain,
% 17.85/12.72 (m_main_v_turn(s418, c_1)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33425, 33414, 33251, 33319])).
% 17.85/12.72 tff(33427,plain,
% 17.85/12.72 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s418, c_1)) | (~m_main_v_turn(s418, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s418, c_1)) | (~m_main_v_turn(s418, c_2)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33428,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s418, c_1)) | (~m_main_v_turn(s418, c_2)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33429,plain,
% 17.85/12.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s418, c_1)) | (~m_main_v_turn(s418, c_2))),
% 17.85/12.72 inference(modus_ponens,[status(thm)],[33428, 33427])).
% 17.85/12.72 tff(33430,plain,
% 17.85/12.72 (~m_main_v_turn(s418, c_2)),
% 17.85/12.72 inference(unit_resolution,[status(thm)],[33429, 156, 33426])).
% 17.85/12.72 tff(33431,plain,
% 17.85/12.72 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s418, c_2) | (~node12(s418)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s418, c_2) | (~node12(s418)))),
% 17.85/12.72 inference(rewrite,[status(thm)],[])).
% 17.85/12.72 tff(33432,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s418, c_2) | (~node12(s418)))),
% 17.85/12.72 inference(quant_inst,[status(thm)],[])).
% 17.85/12.72 tff(33433,plain,
% 17.85/12.72 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s418, c_2) | (~node12(s418))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33432, 33431])).
% 17.85/12.73 tff(33434,plain,
% 17.85/12.73 (~node12(s418)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33433, 184, 33430])).
% 17.85/12.73 tff(33435,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s418, c_n2) | (~node8(s418)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s418, c_n2) | (~node8(s418)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33436,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s418, c_n2) | (~node8(s418)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33437,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s418, c_n2) | (~node8(s418))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33436, 33435])).
% 17.85/12.73 tff(33438,plain,
% 17.85/12.73 (~node8(s418)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33437, 271, 33367])).
% 17.85/12.73 tff(33439,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s418, c_n2) | (~node9(s418)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s418, c_n2) | (~node9(s418)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33440,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s418, c_n2) | (~node9(s418)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33441,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s418, c_n2) | (~node9(s418))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33440, 33439])).
% 17.85/12.73 tff(33442,plain,
% 17.85/12.73 (~node9(s418)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33441, 88, 33367])).
% 17.85/12.73 tff(33443,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s418, c_n2) | (~node10(s418)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s418, c_n2) | (~node10(s418)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33444,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s418, c_n2) | (~node10(s418)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33445,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s418, c_n2) | (~node10(s418))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33444, 33443])).
% 17.85/12.73 tff(33446,plain,
% 17.85/12.73 (~node10(s418)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33445, 249, 33367])).
% 17.85/12.73 tff(33447,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s418, c_n1) | (~node11(s418)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s418, c_n1) | (~node11(s418)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33448,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s418, c_n1) | (~node11(s418)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33449,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s418, c_n1) | (~node11(s418))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33448, 33447])).
% 17.85/12.73 tff(33450,plain,
% 17.85/12.73 (~node11(s418)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33449, 238, 33387])).
% 17.85/12.73 tff(33451,plain,
% 17.85/12.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s418, s419)) | node14(s418, s419))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s418, s419)) | node14(s418, s419))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33452,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s418, s419)) | node14(s418, s419))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33453,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s418, s419)) | node14(s418, s419)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33452, 33451])).
% 17.85/12.73 tff(33454,plain,
% 17.85/12.73 (node14(s418, s419)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33453, 46, 33398])).
% 17.85/12.73 tff(33455,plain,
% 17.85/12.73 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s418, c_c2) | node9(s418) | node8(s418) | node10(s418) | node11(s418) | node12(s418) | node13(s418, s419) | (~node14(s418, s419)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s418, c_c2) | node9(s418) | node8(s418) | node10(s418) | node11(s418) | node12(s418) | node13(s418, s419) | (~node14(s418, s419)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33456,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s418, c_c2) | node9(s418) | node8(s418) | node10(s418) | node11(s418) | node12(s418) | node13(s418, s419) | (~node14(s418, s419)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33457,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s418, c_c2) | node9(s418) | node8(s418) | node10(s418) | node11(s418) | node12(s418) | node13(s418, s419) | (~node14(s418, s419))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33456, 33455])).
% 17.85/12.73 tff(33458,plain,
% 17.85/12.73 (m_main_v_state2(s418, c_c2) | node9(s418) | node8(s418) | node10(s418) | node11(s418) | node12(s418) | node13(s418, s419)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33457, 296, 33454])).
% 17.85/12.73 tff(33459,plain,
% 17.85/12.73 (node13(s418, s419)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33458, 33450, 33375, 33446, 33442, 33438, 33434])).
% 17.85/12.73 tff(33460,plain,
% 17.85/12.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s418, c_t2)) | m_main_v_state2(s419, c_t2) | (~node13(s418, s419)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s418, c_t2)) | m_main_v_state2(s419, c_t2) | (~node13(s418, s419)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33461,plain,
% 17.85/12.73 (((~node13(s418, s419)) | (~m_main_v_state2(s418, c_t2)) | m_main_v_state2(s419, c_t2)) <=> ((~m_main_v_state2(s418, c_t2)) | m_main_v_state2(s419, c_t2) | (~node13(s418, s419)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33462,plain,
% 17.85/12.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s418, s419)) | (~m_main_v_state2(s418, c_t2)) | m_main_v_state2(s419, 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(s418, c_t2)) | m_main_v_state2(s419, c_t2) | (~node13(s418, s419))))),
% 17.85/12.73 inference(monotonicity,[status(thm)],[33461])).
% 17.85/12.73 tff(33463,plain,
% 17.85/12.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s418, s419)) | (~m_main_v_state2(s418, c_t2)) | m_main_v_state2(s419, 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(s418, c_t2)) | m_main_v_state2(s419, c_t2) | (~node13(s418, s419)))),
% 17.85/12.73 inference(transitivity,[status(thm)],[33462, 33460])).
% 17.85/12.73 tff(33464,plain,
% 17.85/12.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s418, s419)) | (~m_main_v_state2(s418, c_t2)) | m_main_v_state2(s419, c_t2))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33465,plain,
% 17.85/12.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s418, c_t2)) | m_main_v_state2(s419, c_t2) | (~node13(s418, s419))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33464, 33463])).
% 17.85/12.73 tff(33466,plain,
% 17.85/12.73 (m_main_v_state2(s419, c_t2)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33465, 518, 33363, 33459])).
% 17.85/12.73 tff(33467,plain,
% 17.85/12.73 (succ(s419, s420) <=> succ(s419, s420)),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33468,axiom,(succ(s419, s420)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound420')).
% 17.85/12.73 tff(33469,plain,
% 17.85/12.73 (succ(s419, s420)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33468, 33467])).
% 17.85/12.73 tff(33470,plain,
% 17.85/12.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s419, s420)) | trans(s419, s420))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s419, s420)) | trans(s419, s420))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33471,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s419, s420)) | trans(s419, s420))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33472,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s419, s420)) | trans(s419, s420)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33471, 33470])).
% 17.85/12.73 tff(33473,plain,
% 17.85/12.73 (trans(s419, s420)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33472, 33469, 32])).
% 17.85/12.73 tff(33474,plain,
% 17.85/12.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s419, s420)) | node7(s419, s420))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s419, s420)) | node7(s419, s420))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33475,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s419, s420)) | node7(s419, s420))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33476,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s419, s420)) | node7(s419, s420)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33475, 33474])).
% 17.85/12.73 tff(33477,plain,
% 17.85/12.73 (node7(s419, s420)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33476, 206, 33473])).
% 17.85/12.73 tff(33478,plain,
% 17.85/12.73 (((~![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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | (~node7(s419, s420)) | m_main_v_state1(s420, 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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | (~node7(s419, s420)) | m_main_v_state1(s420, c_t1))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33479,plain,
% 17.85/12.73 ((~![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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | (~node7(s419, s420)) | m_main_v_state1(s420, c_t1))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33480,plain,
% 17.85/12.73 ((~![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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | (~node7(s419, s420)) | m_main_v_state1(s420, c_t1)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33479, 33478])).
% 17.85/12.73 tff(33481,plain,
% 17.85/12.73 ((~m_main_v_state1(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | m_main_v_state1(s420, c_t1)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33480, 651, 33477])).
% 17.85/12.73 tff(33482,plain,
% 17.85/12.73 (m_main_v_state1(s420, c_t1)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33481, 33466, 33410])).
% 17.85/12.73 tff(33483,plain,
% 17.85/12.73 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s420, c_n1)) | (~m_main_v_state1(s420, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s420, c_n1)) | (~m_main_v_state1(s420, c_t1)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33484,plain,
% 17.85/12.73 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s420, c_n1)) | (~m_main_v_state1(s420, c_t1)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33485,plain,
% 17.85/12.73 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s420, c_n1)) | (~m_main_v_state1(s420, c_t1))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33484, 33483])).
% 17.85/12.73 tff(33486,plain,
% 17.85/12.73 (~m_main_v_state1(s420, c_n1)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33485, 10, 33482])).
% 17.85/12.73 tff(33487,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s420, c_n1) | (~node1(s420)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s420, c_n1) | (~node1(s420)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33488,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s420, c_n1) | (~node1(s420)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33489,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s420, c_n1) | (~node1(s420))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33488, 33487])).
% 17.85/12.73 tff(33490,plain,
% 17.85/12.73 (~node1(s420)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33489, 421, 33486])).
% 17.85/12.73 tff(33491,plain,
% 17.85/12.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s419, s420)) | node18(s419, s420))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s419, s420)) | node18(s419, s420))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33492,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s419, s420)) | node18(s419, s420))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33493,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s419, s420)) | node18(s419, s420)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33492, 33491])).
% 17.85/12.73 tff(33494,plain,
% 17.85/12.73 (node18(s419, s420)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33493, 125, 33473])).
% 17.85/12.73 tff(33495,plain,
% 17.85/12.73 (((~![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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | (~node18(s419, s420)) | m_main_v_turn(s420, 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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | (~node18(s419, s420)) | m_main_v_turn(s420, c_2))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33496,plain,
% 17.85/12.73 ((~![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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | (~node18(s419, s420)) | m_main_v_turn(s420, c_2))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33497,plain,
% 17.85/12.73 ((~![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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | (~node18(s419, s420)) | m_main_v_turn(s420, c_2)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33496, 33495])).
% 17.85/12.73 tff(33498,plain,
% 17.85/12.73 ((~m_main_v_state1(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | m_main_v_turn(s420, c_2)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33497, 760, 33494])).
% 17.85/12.73 tff(33499,plain,
% 17.85/12.73 (m_main_v_turn(s420, c_2)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33498, 33466, 33410])).
% 17.85/12.73 tff(33500,plain,
% 17.85/12.73 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s420, c_1)) | (~m_main_v_turn(s420, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s420, c_1)) | (~m_main_v_turn(s420, c_2)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33501,plain,
% 17.85/12.73 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s420, c_1)) | (~m_main_v_turn(s420, c_2)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33502,plain,
% 17.85/12.73 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s420, c_1)) | (~m_main_v_turn(s420, c_2))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33501, 33500])).
% 17.85/12.73 tff(33503,plain,
% 17.85/12.73 (~m_main_v_turn(s420, c_1)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33502, 156, 33499])).
% 17.85/12.73 tff(33504,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s420, c_1) | (~node5(s420)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s420, c_1) | (~node5(s420)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33505,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s420, c_1) | (~node5(s420)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33506,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s420, c_1) | (~node5(s420))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33505, 33504])).
% 17.85/12.73 tff(33507,plain,
% 17.85/12.73 (~node5(s420)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33506, 776, 33503])).
% 17.85/12.73 tff(33508,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s420, c_n1) | (~node2(s420)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s420, c_n1) | (~node2(s420)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33509,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s420, c_n1) | (~node2(s420)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33510,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s420, c_n1) | (~node2(s420))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33509, 33508])).
% 17.85/12.73 tff(33511,plain,
% 17.85/12.73 (~node2(s420)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33510, 787, 33486])).
% 17.85/12.73 tff(33512,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s420, c_n1) | (~node3(s420)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s420, c_n1) | (~node3(s420)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33513,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s420, c_n1) | (~node3(s420)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33514,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s420, c_n1) | (~node3(s420))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33513, 33512])).
% 17.85/12.73 tff(33515,plain,
% 17.85/12.73 (~node3(s420)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33514, 798, 33486])).
% 17.85/12.73 tff(33516,plain,
% 17.85/12.73 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s420, c_t1)) | (~m_main_v_state1(s420, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s420, c_t1)) | (~m_main_v_state1(s420, c_c1)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33517,plain,
% 17.85/12.73 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s420, c_t1)) | (~m_main_v_state1(s420, c_c1)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33518,plain,
% 17.85/12.73 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s420, c_t1)) | (~m_main_v_state1(s420, c_c1))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33517, 33516])).
% 17.85/12.73 tff(33519,plain,
% 17.85/12.73 (~m_main_v_state1(s420, c_c1)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33518, 539, 33482])).
% 17.85/12.73 tff(33520,plain,
% 17.85/12.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s418, c_n2) | (~m_main_v_state2(s419, c_n2)) | (~node13(s418, s419)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s418, c_n2) | (~m_main_v_state2(s419, c_n2)) | (~node13(s418, s419)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33521,plain,
% 17.85/12.73 (((~node13(s418, s419)) | m_main_v_state2(s418, c_n2) | (~m_main_v_state2(s419, c_n2))) <=> (m_main_v_state2(s418, c_n2) | (~m_main_v_state2(s419, c_n2)) | (~node13(s418, s419)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33522,plain,
% 17.85/12.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s418, s419)) | m_main_v_state2(s418, c_n2) | (~m_main_v_state2(s419, 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(s418, c_n2) | (~m_main_v_state2(s419, c_n2)) | (~node13(s418, s419))))),
% 17.85/12.73 inference(monotonicity,[status(thm)],[33521])).
% 17.85/12.73 tff(33523,plain,
% 17.85/12.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s418, s419)) | m_main_v_state2(s418, c_n2) | (~m_main_v_state2(s419, 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(s418, c_n2) | (~m_main_v_state2(s419, c_n2)) | (~node13(s418, s419)))),
% 17.85/12.73 inference(transitivity,[status(thm)],[33522, 33520])).
% 17.85/12.73 tff(33524,plain,
% 17.85/12.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s418, s419)) | m_main_v_state2(s418, c_n2) | (~m_main_v_state2(s419, c_n2)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33525,plain,
% 17.85/12.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s418, c_n2) | (~m_main_v_state2(s419, c_n2)) | (~node13(s418, s419))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33524, 33523])).
% 17.85/12.73 tff(33526,plain,
% 17.85/12.73 (~m_main_v_state2(s419, c_n2)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33525, 311, 33367, 33459])).
% 17.85/12.73 tff(33527,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s419, c_n2) | (~node9(s419)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s419, c_n2) | (~node9(s419)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33528,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s419, c_n2) | (~node9(s419)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33529,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s419, c_n2) | (~node9(s419))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33528, 33527])).
% 17.85/12.73 tff(33530,plain,
% 17.85/12.73 (~node9(s419)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33529, 88, 33526])).
% 17.85/12.73 tff(33531,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s419, c_n2) | (~node10(s419)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s419, c_n2) | (~node10(s419)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33532,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s419, c_n2) | (~node10(s419)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33533,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s419, c_n2) | (~node10(s419))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33532, 33531])).
% 17.85/12.73 tff(33534,plain,
% 17.85/12.73 (~node10(s419)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33533, 249, 33526])).
% 17.85/12.73 tff(33535,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s419, c_n2) | (~node8(s419)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s419, c_n2) | (~node8(s419)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33536,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s419, c_n2) | (~node8(s419)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33537,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s419, c_n2) | (~node8(s419))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33536, 33535])).
% 17.85/12.73 tff(33538,plain,
% 17.85/12.73 (~node8(s419)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33537, 271, 33526])).
% 17.85/12.73 tff(33539,plain,
% 17.85/12.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s419, s420)) | node14(s419, s420))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s419, s420)) | node14(s419, s420))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33540,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s419, s420)) | node14(s419, s420))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33541,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s419, s420)) | node14(s419, s420)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33540, 33539])).
% 17.85/12.73 tff(33542,plain,
% 17.85/12.73 (node14(s419, s420)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33541, 46, 33473])).
% 17.85/12.73 tff(33543,plain,
% 17.85/12.73 (((~![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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | node9(s419) | node8(s419) | node10(s419) | (~node14(s419, s420)) | m_main_v_state2(s420, 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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | node9(s419) | node8(s419) | node10(s419) | (~node14(s419, s420)) | m_main_v_state2(s420, c_c2))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33544,plain,
% 17.85/12.73 ((~![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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | node9(s419) | node8(s419) | node10(s419) | (~node14(s419, s420)) | m_main_v_state2(s420, c_c2))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33545,plain,
% 17.85/12.73 ((~![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(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | node9(s419) | node8(s419) | node10(s419) | (~node14(s419, s420)) | m_main_v_state2(s420, c_c2)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33544, 33543])).
% 17.85/12.73 tff(33546,plain,
% 17.85/12.73 ((~m_main_v_state1(s419, c_n1)) | (~m_main_v_state2(s419, c_t2)) | node9(s419) | node8(s419) | node10(s419) | m_main_v_state2(s420, c_c2)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33545, 617, 33542])).
% 17.85/12.73 tff(33547,plain,
% 17.85/12.73 (m_main_v_state2(s420, c_c2)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33546, 33538, 33410, 33466, 33534, 33530])).
% 17.85/12.73 tff(33548,plain,
% 17.85/12.73 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s420, c_n2)) | (~m_main_v_state2(s420, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s420, c_n2)) | (~m_main_v_state2(s420, c_c2)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33549,plain,
% 17.85/12.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s420, c_n2)) | (~m_main_v_state2(s420, c_c2)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33550,plain,
% 17.85/12.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s420, c_n2)) | (~m_main_v_state2(s420, c_c2))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33549, 33548])).
% 17.85/12.73 tff(33551,plain,
% 17.85/12.73 (~m_main_v_state2(s420, c_n2)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33550, 697, 33547])).
% 17.85/12.73 tff(33552,plain,
% 17.85/12.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s420, c_n2) | (~node4(s420)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s420, c_n2) | (~node4(s420)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33553,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s420, c_n2) | (~node4(s420)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33554,plain,
% 17.85/12.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s420, c_n2) | (~node4(s420))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33553, 33552])).
% 17.85/12.73 tff(33555,plain,
% 17.85/12.73 (~node4(s420)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33554, 388, 33551])).
% 17.85/12.73 tff(33556,plain,
% 17.85/12.73 (succ(s420, s421) <=> succ(s420, s421)),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33557,axiom,(succ(s420, s421)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound421')).
% 17.85/12.73 tff(33558,plain,
% 17.85/12.73 (succ(s420, s421)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33557, 33556])).
% 17.85/12.73 tff(33559,plain,
% 17.85/12.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s420, s421)) | trans(s420, s421))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s420, s421)) | trans(s420, s421))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33560,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s420, s421)) | trans(s420, s421))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33561,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s420, s421)) | trans(s420, s421)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33560, 33559])).
% 17.85/12.73 tff(33562,plain,
% 17.85/12.73 (trans(s420, s421)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33561, 33558, 32])).
% 17.85/12.73 tff(33563,plain,
% 17.85/12.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s420, s421)) | node7(s420, s421))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s420, s421)) | node7(s420, s421))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33564,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s420, s421)) | node7(s420, s421))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33565,plain,
% 17.85/12.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s420, s421)) | node7(s420, s421)),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33564, 33563])).
% 17.85/12.73 tff(33566,plain,
% 17.85/12.73 (node7(s420, s421)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33565, 206, 33562])).
% 17.85/12.73 tff(33567,plain,
% 17.85/12.73 (((~![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(s420, c_c1) | node1(s420) | node2(s420) | node3(s420) | node4(s420) | node5(s420) | node6(s420, s421) | (~node7(s420, s421)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s420, c_c1) | node1(s420) | node2(s420) | node3(s420) | node4(s420) | node5(s420) | node6(s420, s421) | (~node7(s420, s421)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33568,plain,
% 17.85/12.73 ((~![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(s420, c_c1) | node1(s420) | node2(s420) | node3(s420) | node4(s420) | node5(s420) | node6(s420, s421) | (~node7(s420, s421)))),
% 17.85/12.73 inference(quant_inst,[status(thm)],[])).
% 17.85/12.73 tff(33569,plain,
% 17.85/12.73 ((~![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(s420, c_c1) | node1(s420) | node2(s420) | node3(s420) | node4(s420) | node5(s420) | node6(s420, s421) | (~node7(s420, s421))),
% 17.85/12.73 inference(modus_ponens,[status(thm)],[33568, 33567])).
% 17.85/12.73 tff(33570,plain,
% 17.85/12.73 (m_main_v_state1(s420, c_c1) | node1(s420) | node2(s420) | node3(s420) | node4(s420) | node5(s420) | node6(s420, s421)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33569, 820, 33566])).
% 17.85/12.73 tff(33571,plain,
% 17.85/12.73 (node6(s420, s421)),
% 17.85/12.73 inference(unit_resolution,[status(thm)],[33570, 33555, 33519, 33515, 33511, 33507, 33490])).
% 17.85/12.73 tff(33572,plain,
% 17.85/12.73 (((~![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(s420, c_t1)) | m_main_v_state1(s421, c_t1) | (~node6(s420, s421)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s420, c_t1)) | m_main_v_state1(s421, c_t1) | (~node6(s420, s421)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33573,plain,
% 17.85/12.73 (((~node6(s420, s421)) | (~m_main_v_state1(s420, c_t1)) | m_main_v_state1(s421, c_t1)) <=> ((~m_main_v_state1(s420, c_t1)) | m_main_v_state1(s421, c_t1) | (~node6(s420, s421)))),
% 17.85/12.73 inference(rewrite,[status(thm)],[])).
% 17.85/12.73 tff(33574,plain,
% 17.85/12.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s420, s421)) | (~m_main_v_state1(s420, c_t1)) | m_main_v_state1(s421, 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(s420, c_t1)) | m_main_v_state1(s421, c_t1) | (~node6(s420, s421))))),
% 17.85/12.73 inference(monotonicity,[status(thm)],[33573])).
% 17.85/12.73 tff(33575,plain,
% 17.85/12.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s420, s421)) | (~m_main_v_state1(s420, c_t1)) | m_main_v_state1(s421, 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(s420, c_t1)) | m_main_v_state1(s421, c_t1) | (~node6(s420, s421)))),
% 17.85/12.73 inference(transitivity,[status(thm)],[33574, 33572])).
% 17.85/12.73 tff(33576,plain,
% 17.85/12.73 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s420, s421)) | (~m_main_v_state1(s420, c_t1)) | m_main_v_state1(s421, c_t1))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33577,plain,
% 17.85/12.74 ((~![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(s420, c_t1)) | m_main_v_state1(s421, c_t1) | (~node6(s420, s421))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33576, 33575])).
% 17.85/12.74 tff(33578,plain,
% 17.85/12.74 (m_main_v_state1(s421, c_t1)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33577, 856, 33482, 33571])).
% 17.85/12.74 tff(33579,plain,
% 17.85/12.74 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s420, c_t2)) | (~m_main_v_state2(s420, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s420, c_t2)) | (~m_main_v_state2(s420, c_c2)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33580,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s420, c_t2)) | (~m_main_v_state2(s420, c_c2)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33581,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s420, c_t2)) | (~m_main_v_state2(s420, c_c2))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33580, 33579])).
% 17.85/12.74 tff(33582,plain,
% 17.85/12.74 (~m_main_v_state2(s420, c_t2)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33581, 260, 33547])).
% 17.85/12.74 tff(33583,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s420, c_t2) | (~node12(s420)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s420, c_t2) | (~node12(s420)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33584,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s420, c_t2) | (~node12(s420)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33585,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s420, c_t2) | (~node12(s420))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33584, 33583])).
% 17.85/12.74 tff(33586,plain,
% 17.85/12.74 (~node12(s420)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33585, 633, 33582])).
% 17.85/12.74 tff(33587,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s420, c_n1) | (~node11(s420)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s420, c_n1) | (~node11(s420)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33588,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s420, c_n1) | (~node11(s420)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33589,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s420, c_n1) | (~node11(s420))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33588, 33587])).
% 17.85/12.74 tff(33590,plain,
% 17.85/12.74 (~node11(s420)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33589, 238, 33486])).
% 17.85/12.74 tff(33591,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s420, c_c1) | (~node10(s420)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s420, c_c1) | (~node10(s420)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33592,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s420, c_c1) | (~node10(s420)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33593,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s420, c_c1) | (~node10(s420))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33592, 33591])).
% 17.85/12.74 tff(33594,plain,
% 17.85/12.74 (~node10(s420)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33593, 675, 33519])).
% 17.85/12.74 tff(33595,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s420, c_n1) | (~node9(s420)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s420, c_n1) | (~node9(s420)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33596,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s420, c_n1) | (~node9(s420)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33597,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s420, c_n1) | (~node9(s420))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33596, 33595])).
% 17.85/12.74 tff(33598,plain,
% 17.85/12.74 (~node9(s420)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33597, 686, 33486])).
% 17.85/12.74 tff(33599,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s420, c_n2) | (~node8(s420)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s420, c_n2) | (~node8(s420)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33600,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s420, c_n2) | (~node8(s420)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33601,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s420, c_n2) | (~node8(s420))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33600, 33599])).
% 17.85/12.74 tff(33602,plain,
% 17.85/12.74 (~node8(s420)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33601, 271, 33551])).
% 17.85/12.74 tff(33603,plain,
% 17.85/12.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s420, s421)) | node14(s420, s421))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s420, s421)) | node14(s420, s421))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33604,plain,
% 17.85/12.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s420, s421)) | node14(s420, s421))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33605,plain,
% 17.85/12.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s420, s421)) | node14(s420, s421)),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33604, 33603])).
% 17.85/12.74 tff(33606,plain,
% 17.85/12.74 (node14(s420, s421)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33605, 46, 33562])).
% 17.85/12.74 tff(33607,plain,
% 17.85/12.74 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s421, c_n2) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~node14(s420, s421)) | (~m_main_v_state2(s420, 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(s421, c_n2) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~node14(s420, s421)) | (~m_main_v_state2(s420, c_c2)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33608,plain,
% 17.85/12.74 (((~m_main_v_state2(s420, c_c2)) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~node14(s420, s421)) | m_main_v_state2(s421, c_n2)) <=> (m_main_v_state2(s421, c_n2) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~node14(s420, s421)) | (~m_main_v_state2(s420, c_c2)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33609,plain,
% 17.85/12.74 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s420, c_c2)) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~node14(s420, s421)) | m_main_v_state2(s421, 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(s421, c_n2) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~node14(s420, s421)) | (~m_main_v_state2(s420, c_c2))))),
% 17.85/12.74 inference(monotonicity,[status(thm)],[33608])).
% 17.85/12.74 tff(33610,plain,
% 17.85/12.74 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s420, c_c2)) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~node14(s420, s421)) | m_main_v_state2(s421, 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(s421, c_n2) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~node14(s420, s421)) | (~m_main_v_state2(s420, c_c2)))),
% 17.85/12.74 inference(transitivity,[status(thm)],[33609, 33607])).
% 17.85/12.74 tff(33611,plain,
% 17.85/12.74 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s420, c_c2)) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~node14(s420, s421)) | m_main_v_state2(s421, c_n2))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33612,plain,
% 17.85/12.74 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s421, c_n2) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~node14(s420, s421)) | (~m_main_v_state2(s420, c_c2))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33611, 33610])).
% 17.85/12.74 tff(33613,plain,
% 17.85/12.74 (m_main_v_state2(s421, c_n2) | node9(s420) | node8(s420) | node10(s420) | node11(s420) | node12(s420) | (~m_main_v_state2(s420, c_c2))),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33612, 726, 33606])).
% 17.85/12.74 tff(33614,plain,
% 17.85/12.74 (m_main_v_state2(s421, c_n2)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33613, 33602, 33547, 33598, 33594, 33590, 33586])).
% 17.85/12.74 tff(33615,plain,
% 17.85/12.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s421, c_n2)) | (~m_main_v_state2(s421, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s421, c_n2)) | (~m_main_v_state2(s421, c_t2)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33616,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s421, c_n2)) | (~m_main_v_state2(s421, c_t2)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33617,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s421, c_n2)) | (~m_main_v_state2(s421, c_t2))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33616, 33615])).
% 17.85/12.74 tff(33618,plain,
% 17.85/12.74 (~m_main_v_state2(s421, c_t2)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33617, 77, 33614])).
% 17.85/12.74 tff(33619,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s421, c_t2) | (~node15(s421)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s421, c_t2) | (~node15(s421)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33620,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s421, c_t2) | (~node15(s421)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33621,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s421, c_t2) | (~node15(s421))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33620, 33619])).
% 17.85/12.74 tff(33622,plain,
% 17.85/12.74 (~node15(s421)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33621, 103, 33618])).
% 17.85/12.74 tff(33623,plain,
% 17.85/12.74 (succ(s421, s422) <=> succ(s421, s422)),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33624,axiom,(succ(s421, s422)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound422')).
% 17.85/12.74 tff(33625,plain,
% 17.85/12.74 (succ(s421, s422)),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33624, 33623])).
% 17.85/12.74 tff(33626,plain,
% 17.85/12.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s421, s422)) | trans(s421, s422))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s421, s422)) | trans(s421, s422))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33627,plain,
% 17.85/12.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s421, s422)) | trans(s421, s422))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33628,plain,
% 17.85/12.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s421, s422)) | trans(s421, s422)),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33627, 33626])).
% 17.85/12.74 tff(33629,plain,
% 17.85/12.74 (trans(s421, s422)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33628, 33625, 32])).
% 17.85/12.74 tff(33630,plain,
% 17.85/12.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s421, s422)) | node18(s421, s422))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s421, s422)) | node18(s421, s422))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33631,plain,
% 17.85/12.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s421, s422)) | node18(s421, s422))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33632,plain,
% 17.85/12.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s421, s422)) | node18(s421, s422)),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33631, 33630])).
% 17.85/12.74 tff(33633,plain,
% 17.85/12.74 (node18(s421, s422)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33632, 125, 33629])).
% 17.85/12.74 tff(33634,plain,
% 17.85/12.74 (((~![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(s421) | (~node18(s421, s422)) | (~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_turn(s422, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s421) | (~node18(s421, s422)) | (~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_turn(s422, c_1))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33635,plain,
% 17.85/12.74 (((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | node15(s421) | (~node18(s421, s422)) | m_main_v_turn(s422, c_1)) <=> (node15(s421) | (~node18(s421, s422)) | (~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_turn(s422, c_1))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33636,plain,
% 17.85/12.74 (((~![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))) | ((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | node15(s421) | (~node18(s421, s422)) | m_main_v_turn(s422, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s421) | (~node18(s421, s422)) | (~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_turn(s422, c_1)))),
% 17.85/12.74 inference(monotonicity,[status(thm)],[33635])).
% 17.85/12.74 tff(33637,plain,
% 17.85/12.74 (((~![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))) | ((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | node15(s421) | (~node18(s421, s422)) | m_main_v_turn(s422, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s421) | (~node18(s421, s422)) | (~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_turn(s422, c_1))),
% 17.85/12.74 inference(transitivity,[status(thm)],[33636, 33634])).
% 17.85/12.74 tff(33638,plain,
% 17.85/12.74 ((~![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))) | ((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | node15(s421) | (~node18(s421, s422)) | m_main_v_turn(s422, c_1))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33639,plain,
% 17.85/12.74 ((~![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(s421) | (~node18(s421, s422)) | (~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_turn(s422, c_1)),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33638, 33637])).
% 17.85/12.74 tff(33640,plain,
% 17.85/12.74 (node15(s421) | (~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_turn(s422, c_1)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33639, 992, 33633])).
% 17.85/12.74 tff(33641,plain,
% 17.85/12.74 (m_main_v_turn(s422, c_1)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33640, 33622, 33614, 33578])).
% 17.85/12.74 tff(33642,plain,
% 17.85/12.74 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s422, c_1)) | (~m_main_v_turn(s422, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s422, c_1)) | (~m_main_v_turn(s422, c_2)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33643,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s422, c_1)) | (~m_main_v_turn(s422, c_2)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33644,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s422, c_1)) | (~m_main_v_turn(s422, c_2))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33643, 33642])).
% 17.85/12.74 tff(33645,plain,
% 17.85/12.74 (~m_main_v_turn(s422, c_2)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33644, 156, 33641])).
% 17.85/12.74 tff(33646,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s422, c_2) | (~node12(s422)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s422, c_2) | (~node12(s422)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33647,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s422, c_2) | (~node12(s422)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33648,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s422, c_2) | (~node12(s422))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33647, 33646])).
% 17.85/12.74 tff(33649,plain,
% 17.85/12.74 (~node12(s422)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33648, 184, 33645])).
% 17.85/12.74 tff(33650,plain,
% 17.85/12.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s421, s422)) | node14(s421, s422))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s421, s422)) | node14(s421, s422))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33651,plain,
% 17.85/12.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s421, s422)) | node14(s421, s422))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33652,plain,
% 17.85/12.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s421, s422)) | node14(s421, s422)),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33651, 33650])).
% 17.85/12.74 tff(33653,plain,
% 17.85/12.74 (node14(s421, s422)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33652, 46, 33629])).
% 17.85/12.74 tff(33654,plain,
% 17.85/12.74 (((~![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(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | (~node14(s421, s422)) | m_main_v_state2(s422, 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(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | (~node14(s421, s422)) | m_main_v_state2(s422, c_t2))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33655,plain,
% 17.85/12.74 ((~![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(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | (~node14(s421, s422)) | m_main_v_state2(s422, c_t2))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33656,plain,
% 17.85/12.74 ((~![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(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | (~node14(s421, s422)) | m_main_v_state2(s422, c_t2)),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33655, 33654])).
% 17.85/12.74 tff(33657,plain,
% 17.85/12.74 ((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_state2(s422, c_t2)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33656, 922, 33653])).
% 17.85/12.74 tff(33658,plain,
% 17.85/12.74 (m_main_v_state2(s422, c_t2)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33657, 33578, 33614])).
% 17.85/12.74 tff(33659,plain,
% 17.85/12.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s422, c_n2)) | (~m_main_v_state2(s422, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s422, c_n2)) | (~m_main_v_state2(s422, c_t2)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33660,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s422, c_n2)) | (~m_main_v_state2(s422, c_t2)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33661,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s422, c_n2)) | (~m_main_v_state2(s422, c_t2))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33660, 33659])).
% 17.85/12.74 tff(33662,plain,
% 17.85/12.74 (~m_main_v_state2(s422, c_n2)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33661, 77, 33658])).
% 17.85/12.74 tff(33663,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s422, c_n2) | (~node8(s422)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s422, c_n2) | (~node8(s422)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33664,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s422, c_n2) | (~node8(s422)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33665,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s422, c_n2) | (~node8(s422))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33664, 33663])).
% 17.85/12.74 tff(33666,plain,
% 17.85/12.74 (~node8(s422)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33665, 271, 33662])).
% 17.85/12.74 tff(33667,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s422, c_n2) | (~node9(s422)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s422, c_n2) | (~node9(s422)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33668,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s422, c_n2) | (~node9(s422)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33669,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s422, c_n2) | (~node9(s422))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33668, 33667])).
% 17.85/12.74 tff(33670,plain,
% 17.85/12.74 (~node9(s422)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33669, 88, 33662])).
% 17.85/12.74 tff(33671,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s422, c_n2) | (~node10(s422)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s422, c_n2) | (~node10(s422)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33672,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s422, c_n2) | (~node10(s422)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33673,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s422, c_n2) | (~node10(s422))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33672, 33671])).
% 17.85/12.74 tff(33674,plain,
% 17.85/12.74 (~node10(s422)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33673, 249, 33662])).
% 17.85/12.74 tff(33675,plain,
% 17.85/12.74 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s422, c_t2)) | (~m_main_v_state2(s422, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s422, c_t2)) | (~m_main_v_state2(s422, c_c2)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33676,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s422, c_t2)) | (~m_main_v_state2(s422, c_c2)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33677,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s422, c_t2)) | (~m_main_v_state2(s422, c_c2))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33676, 33675])).
% 17.85/12.74 tff(33678,plain,
% 17.85/12.74 (~m_main_v_state2(s422, c_c2)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33677, 260, 33658])).
% 17.85/12.74 tff(33679,plain,
% 17.85/12.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s421, c_n2)) | (~m_main_v_state2(s421, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s421, c_n2)) | (~m_main_v_state2(s421, c_c2)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33680,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s421, c_n2)) | (~m_main_v_state2(s421, c_c2)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33681,plain,
% 17.85/12.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s421, c_n2)) | (~m_main_v_state2(s421, c_c2))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33680, 33679])).
% 17.85/12.74 tff(33682,plain,
% 17.85/12.74 (~m_main_v_state2(s421, c_c2)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33681, 697, 33614])).
% 17.85/12.74 tff(33683,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s421, c_c2) | (~node3(s421)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s421, c_c2) | (~node3(s421)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33684,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s421, c_c2) | (~node3(s421)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33685,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s421, c_c2) | (~node3(s421))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33684, 33683])).
% 17.85/12.74 tff(33686,plain,
% 17.85/12.74 (~node3(s421)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33685, 399, 33682])).
% 17.85/12.74 tff(33687,plain,
% 17.85/12.74 (((~![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(s420, c_n1) | (~m_main_v_state1(s421, c_n1)) | (~node6(s420, s421)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s420, c_n1) | (~m_main_v_state1(s421, c_n1)) | (~node6(s420, s421)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33688,plain,
% 17.85/12.74 (((~node6(s420, s421)) | m_main_v_state1(s420, c_n1) | (~m_main_v_state1(s421, c_n1))) <=> (m_main_v_state1(s420, c_n1) | (~m_main_v_state1(s421, c_n1)) | (~node6(s420, s421)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33689,plain,
% 17.85/12.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s420, s421)) | m_main_v_state1(s420, c_n1) | (~m_main_v_state1(s421, 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(s420, c_n1) | (~m_main_v_state1(s421, c_n1)) | (~node6(s420, s421))))),
% 17.85/12.74 inference(monotonicity,[status(thm)],[33688])).
% 17.85/12.74 tff(33690,plain,
% 17.85/12.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s420, s421)) | m_main_v_state1(s420, c_n1) | (~m_main_v_state1(s421, 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(s420, c_n1) | (~m_main_v_state1(s421, c_n1)) | (~node6(s420, s421)))),
% 17.85/12.74 inference(transitivity,[status(thm)],[33689, 33687])).
% 17.85/12.74 tff(33691,plain,
% 17.85/12.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s420, s421)) | m_main_v_state1(s420, c_n1) | (~m_main_v_state1(s421, c_n1)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33692,plain,
% 17.85/12.74 ((~![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(s420, c_n1) | (~m_main_v_state1(s421, c_n1)) | (~node6(s420, s421))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33691, 33690])).
% 17.85/12.74 tff(33693,plain,
% 17.85/12.74 (~m_main_v_state1(s421, c_n1)),
% 17.85/12.74 inference(unit_resolution,[status(thm)],[33692, 835, 33486, 33571])).
% 17.85/12.74 tff(33694,plain,
% 17.85/12.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s421, c_n1) | (~node2(s421)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s421, c_n1) | (~node2(s421)))),
% 17.85/12.74 inference(rewrite,[status(thm)],[])).
% 17.85/12.74 tff(33695,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s421, c_n1) | (~node2(s421)))),
% 17.85/12.74 inference(quant_inst,[status(thm)],[])).
% 17.85/12.74 tff(33696,plain,
% 17.85/12.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s421, c_n1) | (~node2(s421))),
% 17.85/12.74 inference(modus_ponens,[status(thm)],[33695, 33694])).
% 17.95/12.75 tff(33697,plain,
% 17.95/12.75 (~node2(s421)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33696, 787, 33693])).
% 17.95/12.75 tff(33698,plain,
% 17.95/12.75 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s421, c_t2) | (~node1(s421)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s421, c_t2) | (~node1(s421)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33699,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s421, c_t2) | (~node1(s421)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33700,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s421, c_t2) | (~node1(s421))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33699, 33698])).
% 17.95/12.75 tff(33701,plain,
% 17.95/12.75 (~node1(s421)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33700, 195, 33618])).
% 17.95/12.75 tff(33702,plain,
% 17.95/12.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s421, s422)) | node7(s421, s422))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s421, s422)) | node7(s421, s422))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33703,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s421, s422)) | node7(s421, s422))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33704,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s421, s422)) | node7(s421, s422)),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33703, 33702])).
% 17.95/12.75 tff(33705,plain,
% 17.95/12.75 (node7(s421, s422)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33704, 206, 33629])).
% 17.95/12.75 tff(33706,plain,
% 17.95/12.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_state1(s422, c_c1) | node1(s421) | node2(s421) | node3(s421) | (~node7(s421, s422)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_state1(s422, c_c1) | node1(s421) | node2(s421) | node3(s421) | (~node7(s421, s422)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33707,plain,
% 17.95/12.75 (((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | node1(s421) | node2(s421) | node3(s421) | (~node7(s421, s422)) | m_main_v_state1(s422, c_c1)) <=> ((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_state1(s422, c_c1) | node1(s421) | node2(s421) | node3(s421) | (~node7(s421, s422)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33708,plain,
% 17.95/12.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | node1(s421) | node2(s421) | node3(s421) | (~node7(s421, s422)) | m_main_v_state1(s422, 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(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_state1(s422, c_c1) | node1(s421) | node2(s421) | node3(s421) | (~node7(s421, s422))))),
% 17.95/12.75 inference(monotonicity,[status(thm)],[33707])).
% 17.95/12.75 tff(33709,plain,
% 17.95/12.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | node1(s421) | node2(s421) | node3(s421) | (~node7(s421, s422)) | m_main_v_state1(s422, 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(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_state1(s422, c_c1) | node1(s421) | node2(s421) | node3(s421) | (~node7(s421, s422)))),
% 17.95/12.75 inference(transitivity,[status(thm)],[33708, 33706])).
% 17.95/12.75 tff(33710,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | node1(s421) | node2(s421) | node3(s421) | (~node7(s421, s422)) | m_main_v_state1(s422, c_c1))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33711,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_state1(s422, c_c1) | node1(s421) | node2(s421) | node3(s421) | (~node7(s421, s422))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33710, 33709])).
% 17.95/12.75 tff(33712,plain,
% 17.95/12.75 ((~m_main_v_state1(s421, c_t1)) | (~m_main_v_state2(s421, c_n2)) | m_main_v_state1(s422, c_c1) | node1(s421) | node2(s421) | node3(s421)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33711, 892, 33705])).
% 17.95/12.75 tff(33713,plain,
% 17.95/12.75 (m_main_v_state1(s422, c_c1)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33712, 33701, 33614, 33578, 33697, 33686])).
% 17.95/12.75 tff(33714,plain,
% 17.95/12.75 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s422, c_n1)) | (~m_main_v_state1(s422, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s422, c_n1)) | (~m_main_v_state1(s422, c_c1)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33715,plain,
% 17.95/12.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s422, c_n1)) | (~m_main_v_state1(s422, c_c1)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33716,plain,
% 17.95/12.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s422, c_n1)) | (~m_main_v_state1(s422, c_c1))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33715, 33714])).
% 17.95/12.75 tff(33717,plain,
% 17.95/12.75 (~m_main_v_state1(s422, c_n1)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33716, 454, 33713])).
% 17.95/12.75 tff(33718,plain,
% 17.95/12.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s422, c_n1) | (~node11(s422)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s422, c_n1) | (~node11(s422)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33719,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s422, c_n1) | (~node11(s422)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33720,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s422, c_n1) | (~node11(s422))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33719, 33718])).
% 17.95/12.75 tff(33721,plain,
% 17.95/12.75 (~node11(s422)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33720, 238, 33717])).
% 17.95/12.75 tff(33722,plain,
% 17.95/12.75 (succ(s422, s423) <=> succ(s422, s423)),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33723,axiom,(succ(s422, s423)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound423')).
% 17.95/12.75 tff(33724,plain,
% 17.95/12.75 (succ(s422, s423)),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33723, 33722])).
% 17.95/12.75 tff(33725,plain,
% 17.95/12.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s422, s423)) | trans(s422, s423))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s422, s423)) | trans(s422, s423))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33726,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s422, s423)) | trans(s422, s423))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33727,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s422, s423)) | trans(s422, s423)),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33726, 33725])).
% 17.95/12.75 tff(33728,plain,
% 17.95/12.75 (trans(s422, s423)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33727, 33724, 32])).
% 17.95/12.75 tff(33729,plain,
% 17.95/12.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s422, s423)) | node14(s422, s423))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s422, s423)) | node14(s422, s423))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33730,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s422, s423)) | node14(s422, s423))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33731,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s422, s423)) | node14(s422, s423)),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33730, 33729])).
% 17.95/12.75 tff(33732,plain,
% 17.95/12.75 (node14(s422, s423)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33731, 46, 33728])).
% 17.95/12.75 tff(33733,plain,
% 17.95/12.75 (((~![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(s422, c_c2) | node9(s422) | node8(s422) | node10(s422) | node11(s422) | node12(s422) | node13(s422, s423) | (~node14(s422, s423)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s422, c_c2) | node9(s422) | node8(s422) | node10(s422) | node11(s422) | node12(s422) | node13(s422, s423) | (~node14(s422, s423)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33734,plain,
% 17.95/12.75 ((~![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(s422, c_c2) | node9(s422) | node8(s422) | node10(s422) | node11(s422) | node12(s422) | node13(s422, s423) | (~node14(s422, s423)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33735,plain,
% 17.95/12.75 ((~![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(s422, c_c2) | node9(s422) | node8(s422) | node10(s422) | node11(s422) | node12(s422) | node13(s422, s423) | (~node14(s422, s423))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33734, 33733])).
% 17.95/12.75 tff(33736,plain,
% 17.95/12.75 (m_main_v_state2(s422, c_c2) | node9(s422) | node8(s422) | node10(s422) | node11(s422) | node12(s422) | node13(s422, s423)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33735, 296, 33732])).
% 17.95/12.75 tff(33737,plain,
% 17.95/12.75 (node13(s422, s423)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33736, 33721, 33678, 33674, 33670, 33666, 33649])).
% 17.95/12.75 tff(33738,plain,
% 17.95/12.75 (((~![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(s422, c_n2) | (~m_main_v_state2(s423, c_n2)) | (~node13(s422, s423)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s422, c_n2) | (~m_main_v_state2(s423, c_n2)) | (~node13(s422, s423)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33739,plain,
% 17.95/12.75 (((~node13(s422, s423)) | m_main_v_state2(s422, c_n2) | (~m_main_v_state2(s423, c_n2))) <=> (m_main_v_state2(s422, c_n2) | (~m_main_v_state2(s423, c_n2)) | (~node13(s422, s423)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33740,plain,
% 17.95/12.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s422, s423)) | m_main_v_state2(s422, c_n2) | (~m_main_v_state2(s423, 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(s422, c_n2) | (~m_main_v_state2(s423, c_n2)) | (~node13(s422, s423))))),
% 17.95/12.75 inference(monotonicity,[status(thm)],[33739])).
% 17.95/12.75 tff(33741,plain,
% 17.95/12.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s422, s423)) | m_main_v_state2(s422, c_n2) | (~m_main_v_state2(s423, 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(s422, c_n2) | (~m_main_v_state2(s423, c_n2)) | (~node13(s422, s423)))),
% 17.95/12.75 inference(transitivity,[status(thm)],[33740, 33738])).
% 17.95/12.75 tff(33742,plain,
% 17.95/12.75 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s422, s423)) | m_main_v_state2(s422, c_n2) | (~m_main_v_state2(s423, c_n2)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33743,plain,
% 17.95/12.75 ((~![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(s422, c_n2) | (~m_main_v_state2(s423, c_n2)) | (~node13(s422, s423))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33742, 33741])).
% 17.95/12.75 tff(33744,plain,
% 17.95/12.75 (~m_main_v_state2(s423, c_n2)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33743, 311, 33662, 33737])).
% 17.95/12.75 tff(33745,plain,
% 17.95/12.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s423, c_n2) | (~node9(s423)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s423, c_n2) | (~node9(s423)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33746,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s423, c_n2) | (~node9(s423)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33747,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s423, c_n2) | (~node9(s423))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33746, 33745])).
% 17.95/12.75 tff(33748,plain,
% 17.95/12.75 (~node9(s423)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33747, 88, 33744])).
% 17.95/12.75 tff(33749,plain,
% 17.95/12.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s423, c_n2) | (~node10(s423)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s423, c_n2) | (~node10(s423)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33750,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s423, c_n2) | (~node10(s423)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33751,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s423, c_n2) | (~node10(s423))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33750, 33749])).
% 17.95/12.75 tff(33752,plain,
% 17.95/12.75 (~node10(s423)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33751, 249, 33744])).
% 17.95/12.75 tff(33753,plain,
% 17.95/12.75 (((~![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(s422, c_t2)) | m_main_v_state2(s423, c_t2) | (~node13(s422, s423)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s422, c_t2)) | m_main_v_state2(s423, c_t2) | (~node13(s422, s423)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33754,plain,
% 17.95/12.75 (((~node13(s422, s423)) | (~m_main_v_state2(s422, c_t2)) | m_main_v_state2(s423, c_t2)) <=> ((~m_main_v_state2(s422, c_t2)) | m_main_v_state2(s423, c_t2) | (~node13(s422, s423)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33755,plain,
% 17.95/12.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s422, s423)) | (~m_main_v_state2(s422, c_t2)) | m_main_v_state2(s423, 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(s422, c_t2)) | m_main_v_state2(s423, c_t2) | (~node13(s422, s423))))),
% 17.95/12.75 inference(monotonicity,[status(thm)],[33754])).
% 17.95/12.75 tff(33756,plain,
% 17.95/12.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s422, s423)) | (~m_main_v_state2(s422, c_t2)) | m_main_v_state2(s423, 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(s422, c_t2)) | m_main_v_state2(s423, c_t2) | (~node13(s422, s423)))),
% 17.95/12.75 inference(transitivity,[status(thm)],[33755, 33753])).
% 17.95/12.75 tff(33757,plain,
% 17.95/12.75 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s422, s423)) | (~m_main_v_state2(s422, c_t2)) | m_main_v_state2(s423, c_t2))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33758,plain,
% 17.95/12.75 ((~![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(s422, c_t2)) | m_main_v_state2(s423, c_t2) | (~node13(s422, s423))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33757, 33756])).
% 17.95/12.75 tff(33759,plain,
% 17.95/12.75 (m_main_v_state2(s423, c_t2)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33758, 518, 33658, 33737])).
% 17.95/12.75 tff(33760,plain,
% 17.95/12.75 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s422, c_t1)) | (~m_main_v_state1(s422, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s422, c_t1)) | (~m_main_v_state1(s422, c_c1)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33761,plain,
% 17.95/12.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s422, c_t1)) | (~m_main_v_state1(s422, c_c1)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33762,plain,
% 17.95/12.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s422, c_t1)) | (~m_main_v_state1(s422, c_c1))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33761, 33760])).
% 17.95/12.75 tff(33763,plain,
% 17.95/12.75 (~m_main_v_state1(s422, c_t1)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33762, 539, 33713])).
% 17.95/12.75 tff(33764,plain,
% 17.95/12.75 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s422, c_t1) | (~node5(s422)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s422, c_t1) | (~node5(s422)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33765,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s422, c_t1) | (~node5(s422)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33766,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s422, c_t1) | (~node5(s422))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33765, 33764])).
% 17.95/12.75 tff(33767,plain,
% 17.95/12.75 (~node5(s422)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33766, 550, 33763])).
% 17.95/12.75 tff(33768,plain,
% 17.95/12.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s422, c_n2) | (~node4(s422)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s422, c_n2) | (~node4(s422)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33769,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s422, c_n2) | (~node4(s422)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33770,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s422, c_n2) | (~node4(s422))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33769, 33768])).
% 17.95/12.75 tff(33771,plain,
% 17.95/12.75 (~node4(s422)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33770, 388, 33662])).
% 17.95/12.75 tff(33772,plain,
% 17.95/12.75 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s422, c_c2) | (~node3(s422)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s422, c_c2) | (~node3(s422)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33773,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s422, c_c2) | (~node3(s422)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33774,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s422, c_c2) | (~node3(s422))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33773, 33772])).
% 17.95/12.75 tff(33775,plain,
% 17.95/12.75 (~node3(s422)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33774, 399, 33678])).
% 17.95/12.75 tff(33776,plain,
% 17.95/12.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s422, c_n2) | (~node2(s422)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s422, c_n2) | (~node2(s422)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33777,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s422, c_n2) | (~node2(s422)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33778,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s422, c_n2) | (~node2(s422))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33777, 33776])).
% 17.95/12.75 tff(33779,plain,
% 17.95/12.75 (~node2(s422)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33778, 410, 33662])).
% 17.95/12.75 tff(33780,plain,
% 17.95/12.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s422, c_n1) | (~node1(s422)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s422, c_n1) | (~node1(s422)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33781,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s422, c_n1) | (~node1(s422)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33782,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s422, c_n1) | (~node1(s422))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33781, 33780])).
% 17.95/12.75 tff(33783,plain,
% 17.95/12.75 (~node1(s422)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33782, 421, 33717])).
% 17.95/12.75 tff(33784,plain,
% 17.95/12.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s422, s423)) | node7(s422, s423))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s422, s423)) | node7(s422, s423))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33785,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s422, s423)) | node7(s422, s423))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33786,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s422, s423)) | node7(s422, s423)),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33785, 33784])).
% 17.95/12.75 tff(33787,plain,
% 17.95/12.75 (node7(s422, s423)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33786, 206, 33728])).
% 17.95/12.75 tff(33788,plain,
% 17.95/12.75 (((~![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(s423, c_n1) | (~m_main_v_state1(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422) | (~node7(s422, s423)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s423, c_n1) | (~m_main_v_state1(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422) | (~node7(s422, s423)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33789,plain,
% 17.95/12.75 (((~m_main_v_state1(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422) | (~node7(s422, s423)) | m_main_v_state1(s423, c_n1)) <=> (m_main_v_state1(s423, c_n1) | (~m_main_v_state1(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422) | (~node7(s422, s423)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33790,plain,
% 17.95/12.75 (((~![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(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422) | (~node7(s422, s423)) | m_main_v_state1(s423, 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(s423, c_n1) | (~m_main_v_state1(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422) | (~node7(s422, s423))))),
% 17.95/12.75 inference(monotonicity,[status(thm)],[33789])).
% 17.95/12.75 tff(33791,plain,
% 17.95/12.75 (((~![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(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422) | (~node7(s422, s423)) | m_main_v_state1(s423, 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(s423, c_n1) | (~m_main_v_state1(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422) | (~node7(s422, s423)))),
% 17.95/12.75 inference(transitivity,[status(thm)],[33790, 33788])).
% 17.95/12.75 tff(33792,plain,
% 17.95/12.75 ((~![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(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422) | (~node7(s422, s423)) | m_main_v_state1(s423, c_n1))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33793,plain,
% 17.95/12.75 ((~![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(s423, c_n1) | (~m_main_v_state1(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422) | (~node7(s422, s423))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33792, 33791])).
% 17.95/12.75 tff(33794,plain,
% 17.95/12.75 (m_main_v_state1(s423, c_n1) | (~m_main_v_state1(s422, c_c1)) | node1(s422) | node2(s422) | node3(s422) | node4(s422) | node5(s422)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33793, 584, 33787])).
% 17.95/12.75 tff(33795,plain,
% 17.95/12.75 (m_main_v_state1(s423, c_n1)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33794, 33783, 33713, 33779, 33775, 33771, 33767])).
% 17.95/12.75 tff(33796,plain,
% 17.95/12.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s423, c_n2) | (~node8(s423)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s423, c_n2) | (~node8(s423)))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33797,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s423, c_n2) | (~node8(s423)))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33798,plain,
% 17.95/12.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s423, c_n2) | (~node8(s423))),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33797, 33796])).
% 17.95/12.75 tff(33799,plain,
% 17.95/12.75 (~node8(s423)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33798, 271, 33744])).
% 17.95/12.75 tff(33800,plain,
% 17.95/12.75 (succ(s423, s424) <=> succ(s423, s424)),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33801,axiom,(succ(s423, s424)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound424')).
% 17.95/12.75 tff(33802,plain,
% 17.95/12.75 (succ(s423, s424)),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33801, 33800])).
% 17.95/12.75 tff(33803,plain,
% 17.95/12.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s423, s424)) | trans(s423, s424))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s423, s424)) | trans(s423, s424))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33804,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s423, s424)) | trans(s423, s424))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33805,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s423, s424)) | trans(s423, s424)),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33804, 33803])).
% 17.95/12.75 tff(33806,plain,
% 17.95/12.75 (trans(s423, s424)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33805, 33802, 32])).
% 17.95/12.75 tff(33807,plain,
% 17.95/12.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s423, s424)) | node14(s423, s424))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s423, s424)) | node14(s423, s424))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33808,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s423, s424)) | node14(s423, s424))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33809,plain,
% 17.95/12.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s423, s424)) | node14(s423, s424)),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33808, 33807])).
% 17.95/12.75 tff(33810,plain,
% 17.95/12.75 (node14(s423, s424)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33809, 46, 33806])).
% 17.95/12.75 tff(33811,plain,
% 17.95/12.75 (((~![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(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | node9(s423) | node8(s423) | node10(s423) | (~node14(s423, s424)) | m_main_v_state2(s424, 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(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | node9(s423) | node8(s423) | node10(s423) | (~node14(s423, s424)) | m_main_v_state2(s424, c_c2))),
% 17.95/12.75 inference(rewrite,[status(thm)],[])).
% 17.95/12.75 tff(33812,plain,
% 17.95/12.75 ((~![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(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | node9(s423) | node8(s423) | node10(s423) | (~node14(s423, s424)) | m_main_v_state2(s424, c_c2))),
% 17.95/12.75 inference(quant_inst,[status(thm)],[])).
% 17.95/12.75 tff(33813,plain,
% 17.95/12.75 ((~![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(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | node9(s423) | node8(s423) | node10(s423) | (~node14(s423, s424)) | m_main_v_state2(s424, c_c2)),
% 17.95/12.75 inference(modus_ponens,[status(thm)],[33812, 33811])).
% 17.95/12.75 tff(33814,plain,
% 17.95/12.75 ((~m_main_v_state1(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | node9(s423) | node8(s423) | node10(s423) | m_main_v_state2(s424, c_c2)),
% 17.95/12.75 inference(unit_resolution,[status(thm)],[33813, 617, 33810])).
% 17.95/12.75 tff(33815,plain,
% 17.95/12.75 (m_main_v_state2(s424, c_c2)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33814, 33799, 33795, 33759, 33752, 33748])).
% 17.95/12.76 tff(33816,plain,
% 17.95/12.76 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s424, c_t2)) | (~m_main_v_state2(s424, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s424, c_t2)) | (~m_main_v_state2(s424, c_c2)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33817,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s424, c_t2)) | (~m_main_v_state2(s424, c_c2)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33818,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s424, c_t2)) | (~m_main_v_state2(s424, c_c2))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33817, 33816])).
% 17.95/12.76 tff(33819,plain,
% 17.95/12.76 (~m_main_v_state2(s424, c_t2)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33818, 260, 33815])).
% 17.95/12.76 tff(33820,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s424, c_t2) | (~node12(s424)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s424, c_t2) | (~node12(s424)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33821,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s424, c_t2) | (~node12(s424)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33822,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s424, c_t2) | (~node12(s424))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33821, 33820])).
% 17.95/12.76 tff(33823,plain,
% 17.95/12.76 (~node12(s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33822, 633, 33819])).
% 17.95/12.76 tff(33824,plain,
% 17.95/12.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s423, s424)) | node7(s423, s424))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s423, s424)) | node7(s423, s424))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33825,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s423, s424)) | node7(s423, s424))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33826,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s423, s424)) | node7(s423, s424)),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33825, 33824])).
% 17.95/12.76 tff(33827,plain,
% 17.95/12.76 (node7(s423, s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33826, 206, 33806])).
% 17.95/12.76 tff(33828,plain,
% 17.95/12.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | (~node7(s423, s424)) | m_main_v_state1(s424, 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(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | (~node7(s423, s424)) | m_main_v_state1(s424, c_t1))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33829,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | (~node7(s423, s424)) | m_main_v_state1(s424, c_t1))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33830,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | (~node7(s423, s424)) | m_main_v_state1(s424, c_t1)),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33829, 33828])).
% 17.95/12.76 tff(33831,plain,
% 17.95/12.76 ((~m_main_v_state1(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | m_main_v_state1(s424, c_t1)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33830, 651, 33827])).
% 17.95/12.76 tff(33832,plain,
% 17.95/12.76 (m_main_v_state1(s424, c_t1)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33831, 33759, 33795])).
% 17.95/12.76 tff(33833,plain,
% 17.95/12.76 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s424, c_n1)) | (~m_main_v_state1(s424, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s424, c_n1)) | (~m_main_v_state1(s424, c_t1)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33834,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s424, c_n1)) | (~m_main_v_state1(s424, c_t1)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33835,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s424, c_n1)) | (~m_main_v_state1(s424, c_t1))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33834, 33833])).
% 17.95/12.76 tff(33836,plain,
% 17.95/12.76 (~m_main_v_state1(s424, c_n1)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33835, 10, 33832])).
% 17.95/12.76 tff(33837,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s424, c_n1) | (~node11(s424)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s424, c_n1) | (~node11(s424)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33838,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s424, c_n1) | (~node11(s424)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33839,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s424, c_n1) | (~node11(s424))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33838, 33837])).
% 17.95/12.76 tff(33840,plain,
% 17.95/12.76 (~node11(s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33839, 238, 33836])).
% 17.95/12.76 tff(33841,plain,
% 17.95/12.76 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s424, c_t1)) | (~m_main_v_state1(s424, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s424, c_t1)) | (~m_main_v_state1(s424, c_c1)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33842,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s424, c_t1)) | (~m_main_v_state1(s424, c_c1)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33843,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s424, c_t1)) | (~m_main_v_state1(s424, c_c1))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33842, 33841])).
% 17.95/12.76 tff(33844,plain,
% 17.95/12.76 (~m_main_v_state1(s424, c_c1)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33843, 539, 33832])).
% 17.95/12.76 tff(33845,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s424, c_c1) | (~node10(s424)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s424, c_c1) | (~node10(s424)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33846,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s424, c_c1) | (~node10(s424)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33847,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s424, c_c1) | (~node10(s424))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33846, 33845])).
% 17.95/12.76 tff(33848,plain,
% 17.95/12.76 (~node10(s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33847, 675, 33844])).
% 17.95/12.76 tff(33849,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s424, c_n1) | (~node9(s424)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s424, c_n1) | (~node9(s424)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33850,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s424, c_n1) | (~node9(s424)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33851,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s424, c_n1) | (~node9(s424))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33850, 33849])).
% 17.95/12.76 tff(33852,plain,
% 17.95/12.76 (~node9(s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33851, 686, 33836])).
% 17.95/12.76 tff(33853,plain,
% 17.95/12.76 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s424, c_n2)) | (~m_main_v_state2(s424, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s424, c_n2)) | (~m_main_v_state2(s424, c_c2)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33854,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s424, c_n2)) | (~m_main_v_state2(s424, c_c2)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33855,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s424, c_n2)) | (~m_main_v_state2(s424, c_c2))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33854, 33853])).
% 17.95/12.76 tff(33856,plain,
% 17.95/12.76 (~m_main_v_state2(s424, c_n2)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33855, 697, 33815])).
% 17.95/12.76 tff(33857,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s424, c_n2) | (~node8(s424)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s424, c_n2) | (~node8(s424)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33858,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s424, c_n2) | (~node8(s424)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33859,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s424, c_n2) | (~node8(s424))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33858, 33857])).
% 17.95/12.76 tff(33860,plain,
% 17.95/12.76 (~node8(s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33859, 271, 33856])).
% 17.95/12.76 tff(33861,plain,
% 17.95/12.76 (succ(s424, s425) <=> succ(s424, s425)),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33862,axiom,(succ(s424, s425)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound425')).
% 17.95/12.76 tff(33863,plain,
% 17.95/12.76 (succ(s424, s425)),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33862, 33861])).
% 17.95/12.76 tff(33864,plain,
% 17.95/12.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s424, s425)) | trans(s424, s425))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s424, s425)) | trans(s424, s425))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33865,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s424, s425)) | trans(s424, s425))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33866,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s424, s425)) | trans(s424, s425)),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33865, 33864])).
% 17.95/12.76 tff(33867,plain,
% 17.95/12.76 (trans(s424, s425)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33866, 33863, 32])).
% 17.95/12.76 tff(33868,plain,
% 17.95/12.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s424, s425)) | node14(s424, s425))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s424, s425)) | node14(s424, s425))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33869,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s424, s425)) | node14(s424, s425))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33870,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s424, s425)) | node14(s424, s425)),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33869, 33868])).
% 17.95/12.76 tff(33871,plain,
% 17.95/12.76 (node14(s424, s425)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33870, 46, 33867])).
% 17.95/12.76 tff(33872,plain,
% 17.95/12.76 (((~![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(s425, c_n2) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~node14(s424, s425)) | (~m_main_v_state2(s424, 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(s425, c_n2) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~node14(s424, s425)) | (~m_main_v_state2(s424, c_c2)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33873,plain,
% 17.95/12.76 (((~m_main_v_state2(s424, c_c2)) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~node14(s424, s425)) | m_main_v_state2(s425, c_n2)) <=> (m_main_v_state2(s425, c_n2) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~node14(s424, s425)) | (~m_main_v_state2(s424, c_c2)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33874,plain,
% 17.95/12.76 (((~![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(s424, c_c2)) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~node14(s424, s425)) | m_main_v_state2(s425, 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(s425, c_n2) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~node14(s424, s425)) | (~m_main_v_state2(s424, c_c2))))),
% 17.95/12.76 inference(monotonicity,[status(thm)],[33873])).
% 17.95/12.76 tff(33875,plain,
% 17.95/12.76 (((~![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(s424, c_c2)) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~node14(s424, s425)) | m_main_v_state2(s425, 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(s425, c_n2) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~node14(s424, s425)) | (~m_main_v_state2(s424, c_c2)))),
% 17.95/12.76 inference(transitivity,[status(thm)],[33874, 33872])).
% 17.95/12.76 tff(33876,plain,
% 17.95/12.76 ((~![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(s424, c_c2)) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~node14(s424, s425)) | m_main_v_state2(s425, c_n2))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33877,plain,
% 17.95/12.76 ((~![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(s425, c_n2) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~node14(s424, s425)) | (~m_main_v_state2(s424, c_c2))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33876, 33875])).
% 17.95/12.76 tff(33878,plain,
% 17.95/12.76 (m_main_v_state2(s425, c_n2) | node9(s424) | node8(s424) | node10(s424) | node11(s424) | node12(s424) | (~m_main_v_state2(s424, c_c2))),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33877, 726, 33871])).
% 17.95/12.76 tff(33879,plain,
% 17.95/12.76 (m_main_v_state2(s425, c_n2)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33878, 33860, 33815, 33852, 33848, 33840, 33823])).
% 17.95/12.76 tff(33880,plain,
% 17.95/12.76 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s425, c_n2)) | (~m_main_v_state2(s425, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s425, c_n2)) | (~m_main_v_state2(s425, c_c2)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33881,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s425, c_n2)) | (~m_main_v_state2(s425, c_c2)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33882,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s425, c_n2)) | (~m_main_v_state2(s425, c_c2))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33881, 33880])).
% 17.95/12.76 tff(33883,plain,
% 17.95/12.76 (~m_main_v_state2(s425, c_c2)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33882, 697, 33879])).
% 17.95/12.76 tff(33884,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s425, c_c2) | (~node3(s425)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s425, c_c2) | (~node3(s425)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33885,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s425, c_c2) | (~node3(s425)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33886,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s425, c_c2) | (~node3(s425))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33885, 33884])).
% 17.95/12.76 tff(33887,plain,
% 17.95/12.76 (~node3(s425)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33886, 399, 33883])).
% 17.95/12.76 tff(33888,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s424, c_n1) | (~node1(s424)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s424, c_n1) | (~node1(s424)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33889,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s424, c_n1) | (~node1(s424)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33890,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s424, c_n1) | (~node1(s424))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33889, 33888])).
% 17.95/12.76 tff(33891,plain,
% 17.95/12.76 (~node1(s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33890, 421, 33836])).
% 17.95/12.76 tff(33892,plain,
% 17.95/12.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s423, s424)) | node18(s423, s424))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s423, s424)) | node18(s423, s424))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33893,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s423, s424)) | node18(s423, s424))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33894,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s423, s424)) | node18(s423, s424)),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33893, 33892])).
% 17.95/12.76 tff(33895,plain,
% 17.95/12.76 (node18(s423, s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33894, 125, 33806])).
% 17.95/12.76 tff(33896,plain,
% 17.95/12.76 (((~![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(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | (~node18(s423, s424)) | m_main_v_turn(s424, 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(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | (~node18(s423, s424)) | m_main_v_turn(s424, c_2))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33897,plain,
% 17.95/12.76 ((~![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(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | (~node18(s423, s424)) | m_main_v_turn(s424, c_2))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33898,plain,
% 17.95/12.76 ((~![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(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | (~node18(s423, s424)) | m_main_v_turn(s424, c_2)),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33897, 33896])).
% 17.95/12.76 tff(33899,plain,
% 17.95/12.76 ((~m_main_v_state1(s423, c_n1)) | (~m_main_v_state2(s423, c_t2)) | m_main_v_turn(s424, c_2)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33898, 760, 33895])).
% 17.95/12.76 tff(33900,plain,
% 17.95/12.76 (m_main_v_turn(s424, c_2)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33899, 33759, 33795])).
% 17.95/12.76 tff(33901,plain,
% 17.95/12.76 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s424, c_1)) | (~m_main_v_turn(s424, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s424, c_1)) | (~m_main_v_turn(s424, c_2)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33902,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s424, c_1)) | (~m_main_v_turn(s424, c_2)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33903,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s424, c_1)) | (~m_main_v_turn(s424, c_2))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33902, 33901])).
% 17.95/12.76 tff(33904,plain,
% 17.95/12.76 (~m_main_v_turn(s424, c_1)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33903, 156, 33900])).
% 17.95/12.76 tff(33905,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s424, c_1) | (~node5(s424)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s424, c_1) | (~node5(s424)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33906,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s424, c_1) | (~node5(s424)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33907,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s424, c_1) | (~node5(s424))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33906, 33905])).
% 17.95/12.76 tff(33908,plain,
% 17.95/12.76 (~node5(s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33907, 776, 33904])).
% 17.95/12.76 tff(33909,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s424, c_n1) | (~node2(s424)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s424, c_n1) | (~node2(s424)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33910,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s424, c_n1) | (~node2(s424)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33911,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s424, c_n1) | (~node2(s424))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33910, 33909])).
% 17.95/12.76 tff(33912,plain,
% 17.95/12.76 (~node2(s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33911, 787, 33836])).
% 17.95/12.76 tff(33913,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s424, c_n1) | (~node3(s424)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s424, c_n1) | (~node3(s424)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33914,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s424, c_n1) | (~node3(s424)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33915,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s424, c_n1) | (~node3(s424))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33914, 33913])).
% 17.95/12.76 tff(33916,plain,
% 17.95/12.76 (~node3(s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33915, 798, 33836])).
% 17.95/12.76 tff(33917,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s424, c_n2) | (~node4(s424)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s424, c_n2) | (~node4(s424)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33918,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s424, c_n2) | (~node4(s424)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33919,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s424, c_n2) | (~node4(s424))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33918, 33917])).
% 17.95/12.76 tff(33920,plain,
% 17.95/12.76 (~node4(s424)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33919, 388, 33856])).
% 17.95/12.76 tff(33921,plain,
% 17.95/12.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s424, s425)) | node7(s424, s425))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s424, s425)) | node7(s424, s425))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33922,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s424, s425)) | node7(s424, s425))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33923,plain,
% 17.95/12.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s424, s425)) | node7(s424, s425)),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33922, 33921])).
% 17.95/12.76 tff(33924,plain,
% 17.95/12.76 (node7(s424, s425)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33923, 206, 33867])).
% 17.95/12.76 tff(33925,plain,
% 17.95/12.76 (((~![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(s424, c_c1) | node1(s424) | node2(s424) | node3(s424) | node4(s424) | node5(s424) | node6(s424, s425) | (~node7(s424, s425)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s424, c_c1) | node1(s424) | node2(s424) | node3(s424) | node4(s424) | node5(s424) | node6(s424, s425) | (~node7(s424, s425)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33926,plain,
% 17.95/12.76 ((~![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(s424, c_c1) | node1(s424) | node2(s424) | node3(s424) | node4(s424) | node5(s424) | node6(s424, s425) | (~node7(s424, s425)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33927,plain,
% 17.95/12.76 ((~![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(s424, c_c1) | node1(s424) | node2(s424) | node3(s424) | node4(s424) | node5(s424) | node6(s424, s425) | (~node7(s424, s425))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33926, 33925])).
% 17.95/12.76 tff(33928,plain,
% 17.95/12.76 (m_main_v_state1(s424, c_c1) | node1(s424) | node2(s424) | node3(s424) | node4(s424) | node5(s424) | node6(s424, s425)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33927, 820, 33924])).
% 17.95/12.76 tff(33929,plain,
% 17.95/12.76 (node6(s424, s425)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33928, 33920, 33844, 33916, 33912, 33908, 33891])).
% 17.95/12.76 tff(33930,plain,
% 17.95/12.76 (((~![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(s424, c_n1) | (~m_main_v_state1(s425, c_n1)) | (~node6(s424, s425)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s424, c_n1) | (~m_main_v_state1(s425, c_n1)) | (~node6(s424, s425)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33931,plain,
% 17.95/12.76 (((~node6(s424, s425)) | m_main_v_state1(s424, c_n1) | (~m_main_v_state1(s425, c_n1))) <=> (m_main_v_state1(s424, c_n1) | (~m_main_v_state1(s425, c_n1)) | (~node6(s424, s425)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33932,plain,
% 17.95/12.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s424, s425)) | m_main_v_state1(s424, c_n1) | (~m_main_v_state1(s425, 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(s424, c_n1) | (~m_main_v_state1(s425, c_n1)) | (~node6(s424, s425))))),
% 17.95/12.76 inference(monotonicity,[status(thm)],[33931])).
% 17.95/12.76 tff(33933,plain,
% 17.95/12.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s424, s425)) | m_main_v_state1(s424, c_n1) | (~m_main_v_state1(s425, 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(s424, c_n1) | (~m_main_v_state1(s425, c_n1)) | (~node6(s424, s425)))),
% 17.95/12.76 inference(transitivity,[status(thm)],[33932, 33930])).
% 17.95/12.76 tff(33934,plain,
% 17.95/12.76 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s424, s425)) | m_main_v_state1(s424, c_n1) | (~m_main_v_state1(s425, c_n1)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33935,plain,
% 17.95/12.76 ((~![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(s424, c_n1) | (~m_main_v_state1(s425, c_n1)) | (~node6(s424, s425))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33934, 33933])).
% 17.95/12.76 tff(33936,plain,
% 17.95/12.76 (~m_main_v_state1(s425, c_n1)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33935, 835, 33836, 33929])).
% 17.95/12.76 tff(33937,plain,
% 17.95/12.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s425, c_n1) | (~node2(s425)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s425, c_n1) | (~node2(s425)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33938,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s425, c_n1) | (~node2(s425)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33939,plain,
% 17.95/12.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s425, c_n1) | (~node2(s425))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33938, 33937])).
% 17.95/12.76 tff(33940,plain,
% 17.95/12.76 (~node2(s425)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33939, 787, 33936])).
% 17.95/12.76 tff(33941,plain,
% 17.95/12.76 (((~![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(s424, c_t1)) | m_main_v_state1(s425, c_t1) | (~node6(s424, s425)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s424, c_t1)) | m_main_v_state1(s425, c_t1) | (~node6(s424, s425)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33942,plain,
% 17.95/12.76 (((~node6(s424, s425)) | (~m_main_v_state1(s424, c_t1)) | m_main_v_state1(s425, c_t1)) <=> ((~m_main_v_state1(s424, c_t1)) | m_main_v_state1(s425, c_t1) | (~node6(s424, s425)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33943,plain,
% 17.95/12.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s424, s425)) | (~m_main_v_state1(s424, c_t1)) | m_main_v_state1(s425, 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(s424, c_t1)) | m_main_v_state1(s425, c_t1) | (~node6(s424, s425))))),
% 17.95/12.76 inference(monotonicity,[status(thm)],[33942])).
% 17.95/12.76 tff(33944,plain,
% 17.95/12.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s424, s425)) | (~m_main_v_state1(s424, c_t1)) | m_main_v_state1(s425, 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(s424, c_t1)) | m_main_v_state1(s425, c_t1) | (~node6(s424, s425)))),
% 17.95/12.76 inference(transitivity,[status(thm)],[33943, 33941])).
% 17.95/12.76 tff(33945,plain,
% 17.95/12.76 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s424, s425)) | (~m_main_v_state1(s424, c_t1)) | m_main_v_state1(s425, c_t1))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.76 tff(33946,plain,
% 17.95/12.76 ((~![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(s424, c_t1)) | m_main_v_state1(s425, c_t1) | (~node6(s424, s425))),
% 17.95/12.76 inference(modus_ponens,[status(thm)],[33945, 33944])).
% 17.95/12.76 tff(33947,plain,
% 17.95/12.76 (m_main_v_state1(s425, c_t1)),
% 17.95/12.76 inference(unit_resolution,[status(thm)],[33946, 856, 33832, 33929])).
% 17.95/12.76 tff(33948,plain,
% 17.95/12.76 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s425, c_n2)) | (~m_main_v_state2(s425, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s425, c_n2)) | (~m_main_v_state2(s425, c_t2)))),
% 17.95/12.76 inference(rewrite,[status(thm)],[])).
% 17.95/12.76 tff(33949,plain,
% 17.95/12.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s425, c_n2)) | (~m_main_v_state2(s425, c_t2)))),
% 17.95/12.76 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33950,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s425, c_n2)) | (~m_main_v_state2(s425, c_t2))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33949, 33948])).
% 17.95/12.77 tff(33951,plain,
% 17.95/12.77 (~m_main_v_state2(s425, c_t2)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33950, 77, 33879])).
% 17.95/12.77 tff(33952,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s425, c_t2) | (~node1(s425)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s425, c_t2) | (~node1(s425)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33953,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s425, c_t2) | (~node1(s425)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33954,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s425, c_t2) | (~node1(s425))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33953, 33952])).
% 17.95/12.77 tff(33955,plain,
% 17.95/12.77 (~node1(s425)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33954, 195, 33951])).
% 17.95/12.77 tff(33956,plain,
% 17.95/12.77 (succ(s425, s426) <=> succ(s425, s426)),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33957,axiom,(succ(s425, s426)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound426')).
% 17.95/12.77 tff(33958,plain,
% 17.95/12.77 (succ(s425, s426)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33957, 33956])).
% 17.95/12.77 tff(33959,plain,
% 17.95/12.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s425, s426)) | trans(s425, s426))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s425, s426)) | trans(s425, s426))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33960,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s425, s426)) | trans(s425, s426))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33961,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s425, s426)) | trans(s425, s426)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33960, 33959])).
% 17.95/12.77 tff(33962,plain,
% 17.95/12.77 (trans(s425, s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33961, 33958, 32])).
% 17.95/12.77 tff(33963,plain,
% 17.95/12.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s425, s426)) | node7(s425, s426))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s425, s426)) | node7(s425, s426))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33964,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s425, s426)) | node7(s425, s426))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33965,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s425, s426)) | node7(s425, s426)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33964, 33963])).
% 17.95/12.77 tff(33966,plain,
% 17.95/12.77 (node7(s425, s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33965, 206, 33962])).
% 17.95/12.77 tff(33967,plain,
% 17.95/12.77 (((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_state1(s426, c_c1) | node1(s425) | node2(s425) | node3(s425) | (~node7(s425, s426)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_state1(s426, c_c1) | node1(s425) | node2(s425) | node3(s425) | (~node7(s425, s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33968,plain,
% 17.95/12.77 (((~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | node1(s425) | node2(s425) | node3(s425) | (~node7(s425, s426)) | m_main_v_state1(s426, c_c1)) <=> ((~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_state1(s426, c_c1) | node1(s425) | node2(s425) | node3(s425) | (~node7(s425, s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33969,plain,
% 17.95/12.77 (((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | node1(s425) | node2(s425) | node3(s425) | (~node7(s425, s426)) | m_main_v_state1(s426, 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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_state1(s426, c_c1) | node1(s425) | node2(s425) | node3(s425) | (~node7(s425, s426))))),
% 17.95/12.77 inference(monotonicity,[status(thm)],[33968])).
% 17.95/12.77 tff(33970,plain,
% 17.95/12.77 (((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | node1(s425) | node2(s425) | node3(s425) | (~node7(s425, s426)) | m_main_v_state1(s426, 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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_state1(s426, c_c1) | node1(s425) | node2(s425) | node3(s425) | (~node7(s425, s426)))),
% 17.95/12.77 inference(transitivity,[status(thm)],[33969, 33967])).
% 17.95/12.77 tff(33971,plain,
% 17.95/12.77 ((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | node1(s425) | node2(s425) | node3(s425) | (~node7(s425, s426)) | m_main_v_state1(s426, c_c1))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33972,plain,
% 17.95/12.77 ((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_state1(s426, c_c1) | node1(s425) | node2(s425) | node3(s425) | (~node7(s425, s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33971, 33970])).
% 17.95/12.77 tff(33973,plain,
% 17.95/12.77 ((~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_state1(s426, c_c1) | node1(s425) | node2(s425) | node3(s425)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33972, 892, 33966])).
% 17.95/12.77 tff(33974,plain,
% 17.95/12.77 (m_main_v_state1(s426, c_c1)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33973, 33955, 33879, 33947, 33940, 33887])).
% 17.95/12.77 tff(33975,plain,
% 17.95/12.77 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s426, c_t1)) | (~m_main_v_state1(s426, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s426, c_t1)) | (~m_main_v_state1(s426, c_c1)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33976,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s426, c_t1)) | (~m_main_v_state1(s426, c_c1)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33977,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s426, c_t1)) | (~m_main_v_state1(s426, c_c1))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33976, 33975])).
% 17.95/12.77 tff(33978,plain,
% 17.95/12.77 (~m_main_v_state1(s426, c_t1)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33977, 539, 33974])).
% 17.95/12.77 tff(33979,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s426, c_t1) | (~node5(s426)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s426, c_t1) | (~node5(s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33980,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s426, c_t1) | (~node5(s426)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33981,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s426, c_t1) | (~node5(s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33980, 33979])).
% 17.95/12.77 tff(33982,plain,
% 17.95/12.77 (~node5(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33981, 550, 33978])).
% 17.95/12.77 tff(33983,plain,
% 17.95/12.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s425, s426)) | node14(s425, s426))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s425, s426)) | node14(s425, s426))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33984,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s425, s426)) | node14(s425, s426))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33985,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s425, s426)) | node14(s425, s426)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33984, 33983])).
% 17.95/12.77 tff(33986,plain,
% 17.95/12.77 (node14(s425, s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33985, 46, 33962])).
% 17.95/12.77 tff(33987,plain,
% 17.95/12.77 (((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | (~node14(s425, s426)) | m_main_v_state2(s426, 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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | (~node14(s425, s426)) | m_main_v_state2(s426, c_t2))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33988,plain,
% 17.95/12.77 ((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | (~node14(s425, s426)) | m_main_v_state2(s426, c_t2))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33989,plain,
% 17.95/12.77 ((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | (~node14(s425, s426)) | m_main_v_state2(s426, c_t2)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33988, 33987])).
% 17.95/12.77 tff(33990,plain,
% 17.95/12.77 ((~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_state2(s426, c_t2)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33989, 922, 33986])).
% 17.95/12.77 tff(33991,plain,
% 17.95/12.77 (m_main_v_state2(s426, c_t2)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33990, 33947, 33879])).
% 17.95/12.77 tff(33992,plain,
% 17.95/12.77 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s426, c_n2)) | (~m_main_v_state2(s426, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s426, c_n2)) | (~m_main_v_state2(s426, c_t2)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33993,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s426, c_n2)) | (~m_main_v_state2(s426, c_t2)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33994,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s426, c_n2)) | (~m_main_v_state2(s426, c_t2))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33993, 33992])).
% 17.95/12.77 tff(33995,plain,
% 17.95/12.77 (~m_main_v_state2(s426, c_n2)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33994, 77, 33991])).
% 17.95/12.77 tff(33996,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s426, c_n2) | (~node4(s426)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s426, c_n2) | (~node4(s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(33997,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s426, c_n2) | (~node4(s426)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(33998,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s426, c_n2) | (~node4(s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[33997, 33996])).
% 17.95/12.77 tff(33999,plain,
% 17.95/12.77 (~node4(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[33998, 388, 33995])).
% 17.95/12.77 tff(34000,plain,
% 17.95/12.77 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s426, c_t2)) | (~m_main_v_state2(s426, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s426, c_t2)) | (~m_main_v_state2(s426, c_c2)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34001,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s426, c_t2)) | (~m_main_v_state2(s426, c_c2)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34002,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s426, c_t2)) | (~m_main_v_state2(s426, c_c2))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34001, 34000])).
% 17.95/12.77 tff(34003,plain,
% 17.95/12.77 (~m_main_v_state2(s426, c_c2)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34002, 260, 33991])).
% 17.95/12.77 tff(34004,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s426, c_c2) | (~node3(s426)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s426, c_c2) | (~node3(s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34005,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s426, c_c2) | (~node3(s426)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34006,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s426, c_c2) | (~node3(s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34005, 34004])).
% 17.95/12.77 tff(34007,plain,
% 17.95/12.77 (~node3(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34006, 399, 34003])).
% 17.95/12.77 tff(34008,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s426, c_n2) | (~node2(s426)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s426, c_n2) | (~node2(s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34009,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s426, c_n2) | (~node2(s426)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34010,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s426, c_n2) | (~node2(s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34009, 34008])).
% 17.95/12.77 tff(34011,plain,
% 17.95/12.77 (~node2(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34010, 410, 33995])).
% 17.95/12.77 tff(34012,plain,
% 17.95/12.77 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s426, c_n1)) | (~m_main_v_state1(s426, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s426, c_n1)) | (~m_main_v_state1(s426, c_c1)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34013,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s426, c_n1)) | (~m_main_v_state1(s426, c_c1)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34014,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s426, c_n1)) | (~m_main_v_state1(s426, c_c1))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34013, 34012])).
% 17.95/12.77 tff(34015,plain,
% 17.95/12.77 (~m_main_v_state1(s426, c_n1)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34014, 454, 33974])).
% 17.95/12.77 tff(34016,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s426, c_n1) | (~node1(s426)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s426, c_n1) | (~node1(s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34017,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s426, c_n1) | (~node1(s426)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34018,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s426, c_n1) | (~node1(s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34017, 34016])).
% 17.95/12.77 tff(34019,plain,
% 17.95/12.77 (~node1(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34018, 421, 34015])).
% 17.95/12.77 tff(34020,plain,
% 17.95/12.77 (succ(s426, s427) <=> succ(s426, s427)),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34021,axiom,(succ(s426, s427)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound427')).
% 17.95/12.77 tff(34022,plain,
% 17.95/12.77 (succ(s426, s427)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34021, 34020])).
% 17.95/12.77 tff(34023,plain,
% 17.95/12.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s426, s427)) | trans(s426, s427))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s426, s427)) | trans(s426, s427))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34024,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s426, s427)) | trans(s426, s427))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34025,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s426, s427)) | trans(s426, s427)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34024, 34023])).
% 17.95/12.77 tff(34026,plain,
% 17.95/12.77 (trans(s426, s427)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34025, 34022, 32])).
% 17.95/12.77 tff(34027,plain,
% 17.95/12.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s426, s427)) | node7(s426, s427))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s426, s427)) | node7(s426, s427))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34028,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s426, s427)) | node7(s426, s427))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34029,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s426, s427)) | node7(s426, s427)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34028, 34027])).
% 17.95/12.77 tff(34030,plain,
% 17.95/12.77 (node7(s426, s427)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34029, 206, 34026])).
% 17.95/12.77 tff(34031,plain,
% 17.95/12.77 (((~![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(s427, c_n1) | (~m_main_v_state1(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426) | (~node7(s426, s427)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s427, c_n1) | (~m_main_v_state1(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426) | (~node7(s426, s427)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34032,plain,
% 17.95/12.77 (((~m_main_v_state1(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426) | (~node7(s426, s427)) | m_main_v_state1(s427, c_n1)) <=> (m_main_v_state1(s427, c_n1) | (~m_main_v_state1(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426) | (~node7(s426, s427)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34033,plain,
% 17.95/12.77 (((~![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(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426) | (~node7(s426, s427)) | m_main_v_state1(s427, 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(s427, c_n1) | (~m_main_v_state1(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426) | (~node7(s426, s427))))),
% 17.95/12.77 inference(monotonicity,[status(thm)],[34032])).
% 17.95/12.77 tff(34034,plain,
% 17.95/12.77 (((~![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(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426) | (~node7(s426, s427)) | m_main_v_state1(s427, 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(s427, c_n1) | (~m_main_v_state1(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426) | (~node7(s426, s427)))),
% 17.95/12.77 inference(transitivity,[status(thm)],[34033, 34031])).
% 17.95/12.77 tff(34035,plain,
% 17.95/12.77 ((~![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(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426) | (~node7(s426, s427)) | m_main_v_state1(s427, c_n1))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34036,plain,
% 17.95/12.77 ((~![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(s427, c_n1) | (~m_main_v_state1(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426) | (~node7(s426, s427))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34035, 34034])).
% 17.95/12.77 tff(34037,plain,
% 17.95/12.77 (m_main_v_state1(s427, c_n1) | (~m_main_v_state1(s426, c_c1)) | node1(s426) | node2(s426) | node3(s426) | node4(s426) | node5(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34036, 584, 34030])).
% 17.95/12.77 tff(34038,plain,
% 17.95/12.77 (m_main_v_state1(s427, c_n1)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34037, 34019, 33974, 34011, 34007, 33999, 33982])).
% 17.95/12.77 tff(34039,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s425, c_t2) | (~node15(s425)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s425, c_t2) | (~node15(s425)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34040,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s425, c_t2) | (~node15(s425)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34041,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s425, c_t2) | (~node15(s425))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34040, 34039])).
% 17.95/12.77 tff(34042,plain,
% 17.95/12.77 (~node15(s425)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34041, 103, 33951])).
% 17.95/12.77 tff(34043,plain,
% 17.95/12.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s425, s426)) | node18(s425, s426))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s425, s426)) | node18(s425, s426))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34044,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s425, s426)) | node18(s425, s426))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34045,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s425, s426)) | node18(s425, s426)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34044, 34043])).
% 17.95/12.77 tff(34046,plain,
% 17.95/12.77 (node18(s425, s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34045, 125, 33962])).
% 17.95/12.77 tff(34047,plain,
% 17.95/12.77 (((~![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(s425) | (~node18(s425, s426)) | (~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_turn(s426, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s425) | (~node18(s425, s426)) | (~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_turn(s426, c_1))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34048,plain,
% 17.95/12.77 (((~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | node15(s425) | (~node18(s425, s426)) | m_main_v_turn(s426, c_1)) <=> (node15(s425) | (~node18(s425, s426)) | (~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_turn(s426, c_1))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34049,plain,
% 17.95/12.77 (((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | node15(s425) | (~node18(s425, s426)) | m_main_v_turn(s426, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s425) | (~node18(s425, s426)) | (~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_turn(s426, c_1)))),
% 17.95/12.77 inference(monotonicity,[status(thm)],[34048])).
% 17.95/12.77 tff(34050,plain,
% 17.95/12.77 (((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | node15(s425) | (~node18(s425, s426)) | m_main_v_turn(s426, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s425) | (~node18(s425, s426)) | (~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_turn(s426, c_1))),
% 17.95/12.77 inference(transitivity,[status(thm)],[34049, 34047])).
% 17.95/12.77 tff(34051,plain,
% 17.95/12.77 ((~![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(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | node15(s425) | (~node18(s425, s426)) | m_main_v_turn(s426, c_1))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34052,plain,
% 17.95/12.77 ((~![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(s425) | (~node18(s425, s426)) | (~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_turn(s426, c_1)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34051, 34050])).
% 17.95/12.77 tff(34053,plain,
% 17.95/12.77 (node15(s425) | (~m_main_v_state1(s425, c_t1)) | (~m_main_v_state2(s425, c_n2)) | m_main_v_turn(s426, c_1)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34052, 992, 34046])).
% 17.95/12.77 tff(34054,plain,
% 17.95/12.77 (m_main_v_turn(s426, c_1)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34053, 34042, 33879, 33947])).
% 17.95/12.77 tff(34055,plain,
% 17.95/12.77 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s426, c_1)) | (~m_main_v_turn(s426, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s426, c_1)) | (~m_main_v_turn(s426, c_2)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34056,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s426, c_1)) | (~m_main_v_turn(s426, c_2)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34057,plain,
% 17.95/12.77 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s426, c_1)) | (~m_main_v_turn(s426, c_2))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34056, 34055])).
% 17.95/12.77 tff(34058,plain,
% 17.95/12.77 (~m_main_v_turn(s426, c_2)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34057, 156, 34054])).
% 17.95/12.77 tff(34059,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s426, c_2) | (~node12(s426)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s426, c_2) | (~node12(s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34060,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s426, c_2) | (~node12(s426)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34061,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s426, c_2) | (~node12(s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34060, 34059])).
% 17.95/12.77 tff(34062,plain,
% 17.95/12.77 (~node12(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34061, 184, 34058])).
% 17.95/12.77 tff(34063,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s426, c_n2) | (~node8(s426)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s426, c_n2) | (~node8(s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34064,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s426, c_n2) | (~node8(s426)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34065,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s426, c_n2) | (~node8(s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34064, 34063])).
% 17.95/12.77 tff(34066,plain,
% 17.95/12.77 (~node8(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34065, 271, 33995])).
% 17.95/12.77 tff(34067,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s426, c_n2) | (~node9(s426)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s426, c_n2) | (~node9(s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34068,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s426, c_n2) | (~node9(s426)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34069,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s426, c_n2) | (~node9(s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34068, 34067])).
% 17.95/12.77 tff(34070,plain,
% 17.95/12.77 (~node9(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34069, 88, 33995])).
% 17.95/12.77 tff(34071,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s426, c_n2) | (~node10(s426)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s426, c_n2) | (~node10(s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34072,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s426, c_n2) | (~node10(s426)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34073,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s426, c_n2) | (~node10(s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34072, 34071])).
% 17.95/12.77 tff(34074,plain,
% 17.95/12.77 (~node10(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34073, 249, 33995])).
% 17.95/12.77 tff(34075,plain,
% 17.95/12.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s426, c_n1) | (~node11(s426)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s426, c_n1) | (~node11(s426)))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34076,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s426, c_n1) | (~node11(s426)))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34077,plain,
% 17.95/12.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s426, c_n1) | (~node11(s426))),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34076, 34075])).
% 17.95/12.77 tff(34078,plain,
% 17.95/12.77 (~node11(s426)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34077, 238, 34015])).
% 17.95/12.77 tff(34079,plain,
% 17.95/12.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s426, s427)) | node14(s426, s427))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s426, s427)) | node14(s426, s427))),
% 17.95/12.77 inference(rewrite,[status(thm)],[])).
% 17.95/12.77 tff(34080,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s426, s427)) | node14(s426, s427))),
% 17.95/12.77 inference(quant_inst,[status(thm)],[])).
% 17.95/12.77 tff(34081,plain,
% 17.95/12.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s426, s427)) | node14(s426, s427)),
% 17.95/12.77 inference(modus_ponens,[status(thm)],[34080, 34079])).
% 17.95/12.77 tff(34082,plain,
% 17.95/12.77 (node14(s426, s427)),
% 17.95/12.77 inference(unit_resolution,[status(thm)],[34081, 46, 34026])).
% 17.95/12.77 tff(34083,plain,
% 17.95/12.77 (((~![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(s426, c_c2) | node9(s426) | node8(s426) | node10(s426) | node11(s426) | node12(s426) | node13(s426, s427) | (~node14(s426, s427)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s426, c_c2) | node9(s426) | node8(s426) | node10(s426) | node11(s426) | node12(s426) | node13(s426, s427) | (~node14(s426, s427)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34084,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s426, c_c2) | node9(s426) | node8(s426) | node10(s426) | node11(s426) | node12(s426) | node13(s426, s427) | (~node14(s426, s427)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34085,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s426, c_c2) | node9(s426) | node8(s426) | node10(s426) | node11(s426) | node12(s426) | node13(s426, s427) | (~node14(s426, s427))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34084, 34083])).
% 17.95/12.78 tff(34086,plain,
% 17.95/12.78 (m_main_v_state2(s426, c_c2) | node9(s426) | node8(s426) | node10(s426) | node11(s426) | node12(s426) | node13(s426, s427)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34085, 296, 34082])).
% 17.95/12.78 tff(34087,plain,
% 17.95/12.78 (node13(s426, s427)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34086, 34078, 34003, 34074, 34070, 34066, 34062])).
% 17.95/12.78 tff(34088,plain,
% 17.95/12.78 (((~![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(s426, c_t2)) | m_main_v_state2(s427, c_t2) | (~node13(s426, s427)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s426, c_t2)) | m_main_v_state2(s427, c_t2) | (~node13(s426, s427)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34089,plain,
% 17.95/12.78 (((~node13(s426, s427)) | (~m_main_v_state2(s426, c_t2)) | m_main_v_state2(s427, c_t2)) <=> ((~m_main_v_state2(s426, c_t2)) | m_main_v_state2(s427, c_t2) | (~node13(s426, s427)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34090,plain,
% 17.95/12.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s426, s427)) | (~m_main_v_state2(s426, c_t2)) | m_main_v_state2(s427, 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(s426, c_t2)) | m_main_v_state2(s427, c_t2) | (~node13(s426, s427))))),
% 17.95/12.78 inference(monotonicity,[status(thm)],[34089])).
% 17.95/12.78 tff(34091,plain,
% 17.95/12.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s426, s427)) | (~m_main_v_state2(s426, c_t2)) | m_main_v_state2(s427, 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(s426, c_t2)) | m_main_v_state2(s427, c_t2) | (~node13(s426, s427)))),
% 17.95/12.78 inference(transitivity,[status(thm)],[34090, 34088])).
% 17.95/12.78 tff(34092,plain,
% 17.95/12.78 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s426, s427)) | (~m_main_v_state2(s426, c_t2)) | m_main_v_state2(s427, c_t2))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34093,plain,
% 17.95/12.78 ((~![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(s426, c_t2)) | m_main_v_state2(s427, c_t2) | (~node13(s426, s427))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34092, 34091])).
% 17.95/12.78 tff(34094,plain,
% 17.95/12.78 (m_main_v_state2(s427, c_t2)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34093, 518, 33991, 34087])).
% 17.95/12.78 tff(34095,plain,
% 17.95/12.78 (succ(s427, s428) <=> succ(s427, s428)),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34096,axiom,(succ(s427, s428)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound428')).
% 17.95/12.78 tff(34097,plain,
% 17.95/12.78 (succ(s427, s428)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34096, 34095])).
% 17.95/12.78 tff(34098,plain,
% 17.95/12.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s427, s428)) | trans(s427, s428))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s427, s428)) | trans(s427, s428))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34099,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s427, s428)) | trans(s427, s428))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34100,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s427, s428)) | trans(s427, s428)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34099, 34098])).
% 17.95/12.78 tff(34101,plain,
% 17.95/12.78 (trans(s427, s428)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34100, 34097, 32])).
% 17.95/12.78 tff(34102,plain,
% 17.95/12.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s427, s428)) | node7(s427, s428))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s427, s428)) | node7(s427, s428))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34103,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s427, s428)) | node7(s427, s428))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34104,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s427, s428)) | node7(s427, s428)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34103, 34102])).
% 17.95/12.78 tff(34105,plain,
% 17.95/12.78 (node7(s427, s428)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34104, 206, 34101])).
% 17.95/12.78 tff(34106,plain,
% 17.95/12.78 (((~![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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | (~node7(s427, s428)) | m_main_v_state1(s428, 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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | (~node7(s427, s428)) | m_main_v_state1(s428, c_t1))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34107,plain,
% 17.95/12.78 ((~![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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | (~node7(s427, s428)) | m_main_v_state1(s428, c_t1))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34108,plain,
% 17.95/12.78 ((~![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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | (~node7(s427, s428)) | m_main_v_state1(s428, c_t1)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34107, 34106])).
% 17.95/12.78 tff(34109,plain,
% 17.95/12.78 ((~m_main_v_state1(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | m_main_v_state1(s428, c_t1)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34108, 651, 34105])).
% 17.95/12.78 tff(34110,plain,
% 17.95/12.78 (m_main_v_state1(s428, c_t1)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34109, 34094, 34038])).
% 17.95/12.78 tff(34111,plain,
% 17.95/12.78 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s428, c_n1)) | (~m_main_v_state1(s428, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s428, c_n1)) | (~m_main_v_state1(s428, c_t1)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34112,plain,
% 17.95/12.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s428, c_n1)) | (~m_main_v_state1(s428, c_t1)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34113,plain,
% 17.95/12.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s428, c_n1)) | (~m_main_v_state1(s428, c_t1))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34112, 34111])).
% 17.95/12.78 tff(34114,plain,
% 17.95/12.78 (~m_main_v_state1(s428, c_n1)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34113, 10, 34110])).
% 17.95/12.78 tff(34115,plain,
% 17.95/12.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s428, c_n1) | (~node1(s428)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s428, c_n1) | (~node1(s428)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34116,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s428, c_n1) | (~node1(s428)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34117,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s428, c_n1) | (~node1(s428))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34116, 34115])).
% 17.95/12.78 tff(34118,plain,
% 17.95/12.78 (~node1(s428)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34117, 421, 34114])).
% 17.95/12.78 tff(34119,plain,
% 17.95/12.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s427, s428)) | node18(s427, s428))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s427, s428)) | node18(s427, s428))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34120,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s427, s428)) | node18(s427, s428))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34121,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s427, s428)) | node18(s427, s428)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34120, 34119])).
% 17.95/12.78 tff(34122,plain,
% 17.95/12.78 (node18(s427, s428)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34121, 125, 34101])).
% 17.95/12.78 tff(34123,plain,
% 17.95/12.78 (((~![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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | (~node18(s427, s428)) | m_main_v_turn(s428, 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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | (~node18(s427, s428)) | m_main_v_turn(s428, c_2))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34124,plain,
% 17.95/12.78 ((~![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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | (~node18(s427, s428)) | m_main_v_turn(s428, c_2))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34125,plain,
% 17.95/12.78 ((~![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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | (~node18(s427, s428)) | m_main_v_turn(s428, c_2)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34124, 34123])).
% 17.95/12.78 tff(34126,plain,
% 17.95/12.78 ((~m_main_v_state1(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | m_main_v_turn(s428, c_2)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34125, 760, 34122])).
% 17.95/12.78 tff(34127,plain,
% 17.95/12.78 (m_main_v_turn(s428, c_2)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34126, 34094, 34038])).
% 17.95/12.78 tff(34128,plain,
% 17.95/12.78 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s428, c_1)) | (~m_main_v_turn(s428, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s428, c_1)) | (~m_main_v_turn(s428, c_2)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34129,plain,
% 17.95/12.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s428, c_1)) | (~m_main_v_turn(s428, c_2)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34130,plain,
% 17.95/12.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s428, c_1)) | (~m_main_v_turn(s428, c_2))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34129, 34128])).
% 17.95/12.78 tff(34131,plain,
% 17.95/12.78 (~m_main_v_turn(s428, c_1)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34130, 156, 34127])).
% 17.95/12.78 tff(34132,plain,
% 17.95/12.78 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s428, c_1) | (~node5(s428)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s428, c_1) | (~node5(s428)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34133,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s428, c_1) | (~node5(s428)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34134,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s428, c_1) | (~node5(s428))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34133, 34132])).
% 17.95/12.78 tff(34135,plain,
% 17.95/12.78 (~node5(s428)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34134, 776, 34131])).
% 17.95/12.78 tff(34136,plain,
% 17.95/12.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s428, c_n1) | (~node2(s428)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s428, c_n1) | (~node2(s428)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34137,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s428, c_n1) | (~node2(s428)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34138,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s428, c_n1) | (~node2(s428))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34137, 34136])).
% 17.95/12.78 tff(34139,plain,
% 17.95/12.78 (~node2(s428)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34138, 787, 34114])).
% 17.95/12.78 tff(34140,plain,
% 17.95/12.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s428, c_n1) | (~node3(s428)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s428, c_n1) | (~node3(s428)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34141,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s428, c_n1) | (~node3(s428)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34142,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s428, c_n1) | (~node3(s428))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34141, 34140])).
% 17.95/12.78 tff(34143,plain,
% 17.95/12.78 (~node3(s428)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34142, 798, 34114])).
% 17.95/12.78 tff(34144,plain,
% 17.95/12.78 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s428, c_t1)) | (~m_main_v_state1(s428, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s428, c_t1)) | (~m_main_v_state1(s428, c_c1)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34145,plain,
% 17.95/12.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s428, c_t1)) | (~m_main_v_state1(s428, c_c1)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34146,plain,
% 17.95/12.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s428, c_t1)) | (~m_main_v_state1(s428, c_c1))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34145, 34144])).
% 17.95/12.78 tff(34147,plain,
% 17.95/12.78 (~m_main_v_state1(s428, c_c1)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34146, 539, 34110])).
% 17.95/12.78 tff(34148,plain,
% 17.95/12.78 (((~![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(s426, c_n2) | (~m_main_v_state2(s427, c_n2)) | (~node13(s426, s427)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s426, c_n2) | (~m_main_v_state2(s427, c_n2)) | (~node13(s426, s427)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34149,plain,
% 17.95/12.78 (((~node13(s426, s427)) | m_main_v_state2(s426, c_n2) | (~m_main_v_state2(s427, c_n2))) <=> (m_main_v_state2(s426, c_n2) | (~m_main_v_state2(s427, c_n2)) | (~node13(s426, s427)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34150,plain,
% 17.95/12.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s426, s427)) | m_main_v_state2(s426, c_n2) | (~m_main_v_state2(s427, 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(s426, c_n2) | (~m_main_v_state2(s427, c_n2)) | (~node13(s426, s427))))),
% 17.95/12.78 inference(monotonicity,[status(thm)],[34149])).
% 17.95/12.78 tff(34151,plain,
% 17.95/12.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s426, s427)) | m_main_v_state2(s426, c_n2) | (~m_main_v_state2(s427, 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(s426, c_n2) | (~m_main_v_state2(s427, c_n2)) | (~node13(s426, s427)))),
% 17.95/12.78 inference(transitivity,[status(thm)],[34150, 34148])).
% 17.95/12.78 tff(34152,plain,
% 17.95/12.78 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s426, s427)) | m_main_v_state2(s426, c_n2) | (~m_main_v_state2(s427, c_n2)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34153,plain,
% 17.95/12.78 ((~![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(s426, c_n2) | (~m_main_v_state2(s427, c_n2)) | (~node13(s426, s427))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34152, 34151])).
% 17.95/12.78 tff(34154,plain,
% 17.95/12.78 (~m_main_v_state2(s427, c_n2)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34153, 311, 33995, 34087])).
% 17.95/12.78 tff(34155,plain,
% 17.95/12.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s427, c_n2) | (~node9(s427)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s427, c_n2) | (~node9(s427)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34156,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s427, c_n2) | (~node9(s427)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34157,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s427, c_n2) | (~node9(s427))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34156, 34155])).
% 17.95/12.78 tff(34158,plain,
% 17.95/12.78 (~node9(s427)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34157, 88, 34154])).
% 17.95/12.78 tff(34159,plain,
% 17.95/12.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s427, c_n2) | (~node10(s427)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s427, c_n2) | (~node10(s427)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34160,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s427, c_n2) | (~node10(s427)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34161,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s427, c_n2) | (~node10(s427))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34160, 34159])).
% 17.95/12.78 tff(34162,plain,
% 17.95/12.78 (~node10(s427)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34161, 249, 34154])).
% 17.95/12.78 tff(34163,plain,
% 17.95/12.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s427, c_n2) | (~node8(s427)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s427, c_n2) | (~node8(s427)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34164,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s427, c_n2) | (~node8(s427)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34165,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s427, c_n2) | (~node8(s427))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34164, 34163])).
% 17.95/12.78 tff(34166,plain,
% 17.95/12.78 (~node8(s427)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34165, 271, 34154])).
% 17.95/12.78 tff(34167,plain,
% 17.95/12.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s427, s428)) | node14(s427, s428))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s427, s428)) | node14(s427, s428))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34168,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s427, s428)) | node14(s427, s428))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34169,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s427, s428)) | node14(s427, s428)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34168, 34167])).
% 17.95/12.78 tff(34170,plain,
% 17.95/12.78 (node14(s427, s428)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34169, 46, 34101])).
% 17.95/12.78 tff(34171,plain,
% 17.95/12.78 (((~![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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | node9(s427) | node8(s427) | node10(s427) | (~node14(s427, s428)) | m_main_v_state2(s428, 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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | node9(s427) | node8(s427) | node10(s427) | (~node14(s427, s428)) | m_main_v_state2(s428, c_c2))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34172,plain,
% 17.95/12.78 ((~![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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | node9(s427) | node8(s427) | node10(s427) | (~node14(s427, s428)) | m_main_v_state2(s428, c_c2))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34173,plain,
% 17.95/12.78 ((~![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(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | node9(s427) | node8(s427) | node10(s427) | (~node14(s427, s428)) | m_main_v_state2(s428, c_c2)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34172, 34171])).
% 17.95/12.78 tff(34174,plain,
% 17.95/12.78 ((~m_main_v_state1(s427, c_n1)) | (~m_main_v_state2(s427, c_t2)) | node9(s427) | node8(s427) | node10(s427) | m_main_v_state2(s428, c_c2)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34173, 617, 34170])).
% 17.95/12.78 tff(34175,plain,
% 17.95/12.78 (m_main_v_state2(s428, c_c2)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34174, 34166, 34038, 34094, 34162, 34158])).
% 17.95/12.78 tff(34176,plain,
% 17.95/12.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s428, c_n2)) | (~m_main_v_state2(s428, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s428, c_n2)) | (~m_main_v_state2(s428, c_c2)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34177,plain,
% 17.95/12.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s428, c_n2)) | (~m_main_v_state2(s428, c_c2)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34178,plain,
% 17.95/12.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s428, c_n2)) | (~m_main_v_state2(s428, c_c2))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34177, 34176])).
% 17.95/12.78 tff(34179,plain,
% 17.95/12.78 (~m_main_v_state2(s428, c_n2)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34178, 697, 34175])).
% 17.95/12.78 tff(34180,plain,
% 17.95/12.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s428, c_n2) | (~node4(s428)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s428, c_n2) | (~node4(s428)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34181,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s428, c_n2) | (~node4(s428)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34182,plain,
% 17.95/12.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s428, c_n2) | (~node4(s428))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34181, 34180])).
% 17.95/12.78 tff(34183,plain,
% 17.95/12.78 (~node4(s428)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34182, 388, 34179])).
% 17.95/12.78 tff(34184,plain,
% 17.95/12.78 (succ(s428, s429) <=> succ(s428, s429)),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34185,axiom,(succ(s428, s429)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound429')).
% 17.95/12.78 tff(34186,plain,
% 17.95/12.78 (succ(s428, s429)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34185, 34184])).
% 17.95/12.78 tff(34187,plain,
% 17.95/12.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s428, s429)) | trans(s428, s429))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s428, s429)) | trans(s428, s429))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34188,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s428, s429)) | trans(s428, s429))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34189,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s428, s429)) | trans(s428, s429)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34188, 34187])).
% 17.95/12.78 tff(34190,plain,
% 17.95/12.78 (trans(s428, s429)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34189, 34186, 32])).
% 17.95/12.78 tff(34191,plain,
% 17.95/12.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s428, s429)) | node7(s428, s429))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s428, s429)) | node7(s428, s429))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34192,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s428, s429)) | node7(s428, s429))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34193,plain,
% 17.95/12.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s428, s429)) | node7(s428, s429)),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34192, 34191])).
% 17.95/12.78 tff(34194,plain,
% 17.95/12.78 (node7(s428, s429)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34193, 206, 34190])).
% 17.95/12.78 tff(34195,plain,
% 17.95/12.78 (((~![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(s428, c_c1) | node1(s428) | node2(s428) | node3(s428) | node4(s428) | node5(s428) | node6(s428, s429) | (~node7(s428, s429)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s428, c_c1) | node1(s428) | node2(s428) | node3(s428) | node4(s428) | node5(s428) | node6(s428, s429) | (~node7(s428, s429)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34196,plain,
% 17.95/12.78 ((~![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(s428, c_c1) | node1(s428) | node2(s428) | node3(s428) | node4(s428) | node5(s428) | node6(s428, s429) | (~node7(s428, s429)))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34197,plain,
% 17.95/12.78 ((~![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(s428, c_c1) | node1(s428) | node2(s428) | node3(s428) | node4(s428) | node5(s428) | node6(s428, s429) | (~node7(s428, s429))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34196, 34195])).
% 17.95/12.78 tff(34198,plain,
% 17.95/12.78 (m_main_v_state1(s428, c_c1) | node1(s428) | node2(s428) | node3(s428) | node4(s428) | node5(s428) | node6(s428, s429)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34197, 820, 34194])).
% 17.95/12.78 tff(34199,plain,
% 17.95/12.78 (node6(s428, s429)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34198, 34183, 34147, 34143, 34139, 34135, 34118])).
% 17.95/12.78 tff(34200,plain,
% 17.95/12.78 (((~![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(s428, c_t1)) | m_main_v_state1(s429, c_t1) | (~node6(s428, s429)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s428, c_t1)) | m_main_v_state1(s429, c_t1) | (~node6(s428, s429)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34201,plain,
% 17.95/12.78 (((~node6(s428, s429)) | (~m_main_v_state1(s428, c_t1)) | m_main_v_state1(s429, c_t1)) <=> ((~m_main_v_state1(s428, c_t1)) | m_main_v_state1(s429, c_t1) | (~node6(s428, s429)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34202,plain,
% 17.95/12.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s428, s429)) | (~m_main_v_state1(s428, c_t1)) | m_main_v_state1(s429, 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(s428, c_t1)) | m_main_v_state1(s429, c_t1) | (~node6(s428, s429))))),
% 17.95/12.78 inference(monotonicity,[status(thm)],[34201])).
% 17.95/12.78 tff(34203,plain,
% 17.95/12.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s428, s429)) | (~m_main_v_state1(s428, c_t1)) | m_main_v_state1(s429, 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(s428, c_t1)) | m_main_v_state1(s429, c_t1) | (~node6(s428, s429)))),
% 17.95/12.78 inference(transitivity,[status(thm)],[34202, 34200])).
% 17.95/12.78 tff(34204,plain,
% 17.95/12.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s428, s429)) | (~m_main_v_state1(s428, c_t1)) | m_main_v_state1(s429, c_t1))),
% 17.95/12.78 inference(quant_inst,[status(thm)],[])).
% 17.95/12.78 tff(34205,plain,
% 17.95/12.78 ((~![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(s428, c_t1)) | m_main_v_state1(s429, c_t1) | (~node6(s428, s429))),
% 17.95/12.78 inference(modus_ponens,[status(thm)],[34204, 34203])).
% 17.95/12.78 tff(34206,plain,
% 17.95/12.78 (m_main_v_state1(s429, c_t1)),
% 17.95/12.78 inference(unit_resolution,[status(thm)],[34205, 856, 34110, 34199])).
% 17.95/12.78 tff(34207,plain,
% 17.95/12.78 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s428, c_t2)) | (~m_main_v_state2(s428, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s428, c_t2)) | (~m_main_v_state2(s428, c_c2)))),
% 17.95/12.78 inference(rewrite,[status(thm)],[])).
% 17.95/12.78 tff(34208,plain,
% 17.95/12.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s428, c_t2)) | (~m_main_v_state2(s428, c_c2)))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34209,plain,
% 17.95/12.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s428, c_t2)) | (~m_main_v_state2(s428, c_c2))),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34208, 34207])).
% 17.95/12.79 tff(34210,plain,
% 17.95/12.79 (~m_main_v_state2(s428, c_t2)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34209, 260, 34175])).
% 17.95/12.79 tff(34211,plain,
% 17.95/12.79 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s428, c_t2) | (~node12(s428)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s428, c_t2) | (~node12(s428)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34212,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s428, c_t2) | (~node12(s428)))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34213,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s428, c_t2) | (~node12(s428))),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34212, 34211])).
% 17.95/12.79 tff(34214,plain,
% 17.95/12.79 (~node12(s428)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34213, 633, 34210])).
% 17.95/12.79 tff(34215,plain,
% 17.95/12.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s428, c_n1) | (~node11(s428)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s428, c_n1) | (~node11(s428)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34216,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s428, c_n1) | (~node11(s428)))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34217,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s428, c_n1) | (~node11(s428))),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34216, 34215])).
% 17.95/12.79 tff(34218,plain,
% 17.95/12.79 (~node11(s428)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34217, 238, 34114])).
% 17.95/12.79 tff(34219,plain,
% 17.95/12.79 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s428, c_c1) | (~node10(s428)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s428, c_c1) | (~node10(s428)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34220,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s428, c_c1) | (~node10(s428)))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34221,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s428, c_c1) | (~node10(s428))),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34220, 34219])).
% 17.95/12.79 tff(34222,plain,
% 17.95/12.79 (~node10(s428)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34221, 675, 34147])).
% 17.95/12.79 tff(34223,plain,
% 17.95/12.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s428, c_n1) | (~node9(s428)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s428, c_n1) | (~node9(s428)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34224,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s428, c_n1) | (~node9(s428)))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34225,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s428, c_n1) | (~node9(s428))),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34224, 34223])).
% 17.95/12.79 tff(34226,plain,
% 17.95/12.79 (~node9(s428)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34225, 686, 34114])).
% 17.95/12.79 tff(34227,plain,
% 17.95/12.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s428, c_n2) | (~node8(s428)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s428, c_n2) | (~node8(s428)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34228,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s428, c_n2) | (~node8(s428)))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34229,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s428, c_n2) | (~node8(s428))),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34228, 34227])).
% 17.95/12.79 tff(34230,plain,
% 17.95/12.79 (~node8(s428)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34229, 271, 34179])).
% 17.95/12.79 tff(34231,plain,
% 17.95/12.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s428, s429)) | node14(s428, s429))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s428, s429)) | node14(s428, s429))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34232,plain,
% 17.95/12.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s428, s429)) | node14(s428, s429))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34233,plain,
% 17.95/12.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s428, s429)) | node14(s428, s429)),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34232, 34231])).
% 17.95/12.79 tff(34234,plain,
% 17.95/12.79 (node14(s428, s429)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34233, 46, 34190])).
% 17.95/12.79 tff(34235,plain,
% 17.95/12.79 (((~![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(s429, c_n2) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~node14(s428, s429)) | (~m_main_v_state2(s428, 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(s429, c_n2) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~node14(s428, s429)) | (~m_main_v_state2(s428, c_c2)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34236,plain,
% 17.95/12.79 (((~m_main_v_state2(s428, c_c2)) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~node14(s428, s429)) | m_main_v_state2(s429, c_n2)) <=> (m_main_v_state2(s429, c_n2) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~node14(s428, s429)) | (~m_main_v_state2(s428, c_c2)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34237,plain,
% 17.95/12.79 (((~![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(s428, c_c2)) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~node14(s428, s429)) | m_main_v_state2(s429, 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(s429, c_n2) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~node14(s428, s429)) | (~m_main_v_state2(s428, c_c2))))),
% 17.95/12.79 inference(monotonicity,[status(thm)],[34236])).
% 17.95/12.79 tff(34238,plain,
% 17.95/12.79 (((~![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(s428, c_c2)) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~node14(s428, s429)) | m_main_v_state2(s429, 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(s429, c_n2) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~node14(s428, s429)) | (~m_main_v_state2(s428, c_c2)))),
% 17.95/12.79 inference(transitivity,[status(thm)],[34237, 34235])).
% 17.95/12.79 tff(34239,plain,
% 17.95/12.79 ((~![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(s428, c_c2)) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~node14(s428, s429)) | m_main_v_state2(s429, c_n2))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34240,plain,
% 17.95/12.79 ((~![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(s429, c_n2) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~node14(s428, s429)) | (~m_main_v_state2(s428, c_c2))),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34239, 34238])).
% 17.95/12.79 tff(34241,plain,
% 17.95/12.79 (m_main_v_state2(s429, c_n2) | node9(s428) | node8(s428) | node10(s428) | node11(s428) | node12(s428) | (~m_main_v_state2(s428, c_c2))),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34240, 726, 34234])).
% 17.95/12.79 tff(34242,plain,
% 17.95/12.79 (m_main_v_state2(s429, c_n2)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34241, 34230, 34175, 34226, 34222, 34218, 34214])).
% 17.95/12.79 tff(34243,plain,
% 17.95/12.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s429, c_n2)) | (~m_main_v_state2(s429, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s429, c_n2)) | (~m_main_v_state2(s429, c_t2)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34244,plain,
% 17.95/12.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s429, c_n2)) | (~m_main_v_state2(s429, c_t2)))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34245,plain,
% 17.95/12.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s429, c_n2)) | (~m_main_v_state2(s429, c_t2))),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34244, 34243])).
% 17.95/12.79 tff(34246,plain,
% 17.95/12.79 (~m_main_v_state2(s429, c_t2)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34245, 77, 34242])).
% 17.95/12.79 tff(34247,plain,
% 17.95/12.79 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s429, c_t2) | (~node15(s429)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s429, c_t2) | (~node15(s429)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34248,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s429, c_t2) | (~node15(s429)))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34249,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s429, c_t2) | (~node15(s429))),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34248, 34247])).
% 17.95/12.79 tff(34250,plain,
% 17.95/12.79 (~node15(s429)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34249, 103, 34246])).
% 17.95/12.79 tff(34251,plain,
% 17.95/12.79 (succ(s429, s430) <=> succ(s429, s430)),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34252,axiom,(succ(s429, s430)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound430')).
% 17.95/12.79 tff(34253,plain,
% 17.95/12.79 (succ(s429, s430)),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34252, 34251])).
% 17.95/12.79 tff(34254,plain,
% 17.95/12.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s429, s430)) | trans(s429, s430))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s429, s430)) | trans(s429, s430))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34255,plain,
% 17.95/12.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s429, s430)) | trans(s429, s430))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34256,plain,
% 17.95/12.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s429, s430)) | trans(s429, s430)),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34255, 34254])).
% 17.95/12.79 tff(34257,plain,
% 17.95/12.79 (trans(s429, s430)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34256, 34253, 32])).
% 17.95/12.79 tff(34258,plain,
% 17.95/12.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s429, s430)) | node18(s429, s430))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s429, s430)) | node18(s429, s430))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34259,plain,
% 17.95/12.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s429, s430)) | node18(s429, s430))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34260,plain,
% 17.95/12.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s429, s430)) | node18(s429, s430)),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34259, 34258])).
% 17.95/12.79 tff(34261,plain,
% 17.95/12.79 (node18(s429, s430)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34260, 125, 34257])).
% 17.95/12.79 tff(34262,plain,
% 17.95/12.79 (((~![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(s429) | (~node18(s429, s430)) | (~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_turn(s430, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s429) | (~node18(s429, s430)) | (~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_turn(s430, c_1))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34263,plain,
% 17.95/12.79 (((~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | node15(s429) | (~node18(s429, s430)) | m_main_v_turn(s430, c_1)) <=> (node15(s429) | (~node18(s429, s430)) | (~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_turn(s430, c_1))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34264,plain,
% 17.95/12.79 (((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | node15(s429) | (~node18(s429, s430)) | m_main_v_turn(s430, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s429) | (~node18(s429, s430)) | (~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_turn(s430, c_1)))),
% 17.95/12.79 inference(monotonicity,[status(thm)],[34263])).
% 17.95/12.79 tff(34265,plain,
% 17.95/12.79 (((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | node15(s429) | (~node18(s429, s430)) | m_main_v_turn(s430, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s429) | (~node18(s429, s430)) | (~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_turn(s430, c_1))),
% 17.95/12.79 inference(transitivity,[status(thm)],[34264, 34262])).
% 17.95/12.79 tff(34266,plain,
% 17.95/12.79 ((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | node15(s429) | (~node18(s429, s430)) | m_main_v_turn(s430, c_1))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34267,plain,
% 17.95/12.79 ((~![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(s429) | (~node18(s429, s430)) | (~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_turn(s430, c_1)),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34266, 34265])).
% 17.95/12.79 tff(34268,plain,
% 17.95/12.79 (node15(s429) | (~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_turn(s430, c_1)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34267, 992, 34261])).
% 17.95/12.79 tff(34269,plain,
% 17.95/12.79 (m_main_v_turn(s430, c_1)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34268, 34250, 34242, 34206])).
% 17.95/12.79 tff(34270,plain,
% 17.95/12.79 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s430, c_1)) | (~m_main_v_turn(s430, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s430, c_1)) | (~m_main_v_turn(s430, c_2)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34271,plain,
% 17.95/12.79 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s430, c_1)) | (~m_main_v_turn(s430, c_2)))),
% 17.95/12.79 inference(quant_inst,[status(thm)],[])).
% 17.95/12.79 tff(34272,plain,
% 17.95/12.79 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s430, c_1)) | (~m_main_v_turn(s430, c_2))),
% 17.95/12.79 inference(modus_ponens,[status(thm)],[34271, 34270])).
% 17.95/12.79 tff(34273,plain,
% 17.95/12.79 (~m_main_v_turn(s430, c_2)),
% 17.95/12.79 inference(unit_resolution,[status(thm)],[34272, 156, 34269])).
% 17.95/12.79 tff(34274,plain,
% 17.95/12.79 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s430, c_2) | (~node12(s430)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s430, c_2) | (~node12(s430)))),
% 17.95/12.79 inference(rewrite,[status(thm)],[])).
% 17.95/12.79 tff(34275,plain,
% 17.95/12.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s430, c_2) | (~node12(s430)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34276,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s430, c_2) | (~node12(s430))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34275, 34274])).
% 18.00/12.79 tff(34277,plain,
% 18.00/12.79 (~node12(s430)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34276, 184, 34273])).
% 18.00/12.79 tff(34278,plain,
% 18.00/12.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s429, s430)) | node14(s429, s430))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s429, s430)) | node14(s429, s430))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34279,plain,
% 18.00/12.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s429, s430)) | node14(s429, s430))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34280,plain,
% 18.00/12.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s429, s430)) | node14(s429, s430)),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34279, 34278])).
% 18.00/12.79 tff(34281,plain,
% 18.00/12.79 (node14(s429, s430)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34280, 46, 34257])).
% 18.00/12.79 tff(34282,plain,
% 18.00/12.79 (((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | (~node14(s429, s430)) | m_main_v_state2(s430, 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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | (~node14(s429, s430)) | m_main_v_state2(s430, c_t2))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34283,plain,
% 18.00/12.79 ((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | (~node14(s429, s430)) | m_main_v_state2(s430, c_t2))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34284,plain,
% 18.00/12.79 ((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | (~node14(s429, s430)) | m_main_v_state2(s430, c_t2)),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34283, 34282])).
% 18.00/12.79 tff(34285,plain,
% 18.00/12.79 ((~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_state2(s430, c_t2)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34284, 922, 34281])).
% 18.00/12.79 tff(34286,plain,
% 18.00/12.79 (m_main_v_state2(s430, c_t2)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34285, 34206, 34242])).
% 18.00/12.79 tff(34287,plain,
% 18.00/12.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s430, c_n2)) | (~m_main_v_state2(s430, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s430, c_n2)) | (~m_main_v_state2(s430, c_t2)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34288,plain,
% 18.00/12.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s430, c_n2)) | (~m_main_v_state2(s430, c_t2)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34289,plain,
% 18.00/12.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s430, c_n2)) | (~m_main_v_state2(s430, c_t2))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34288, 34287])).
% 18.00/12.79 tff(34290,plain,
% 18.00/12.79 (~m_main_v_state2(s430, c_n2)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34289, 77, 34286])).
% 18.00/12.79 tff(34291,plain,
% 18.00/12.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s430, c_n2) | (~node8(s430)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s430, c_n2) | (~node8(s430)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34292,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s430, c_n2) | (~node8(s430)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34293,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s430, c_n2) | (~node8(s430))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34292, 34291])).
% 18.00/12.79 tff(34294,plain,
% 18.00/12.79 (~node8(s430)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34293, 271, 34290])).
% 18.00/12.79 tff(34295,plain,
% 18.00/12.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s430, c_n2) | (~node9(s430)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s430, c_n2) | (~node9(s430)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34296,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s430, c_n2) | (~node9(s430)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34297,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s430, c_n2) | (~node9(s430))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34296, 34295])).
% 18.00/12.79 tff(34298,plain,
% 18.00/12.79 (~node9(s430)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34297, 88, 34290])).
% 18.00/12.79 tff(34299,plain,
% 18.00/12.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s430, c_n2) | (~node10(s430)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s430, c_n2) | (~node10(s430)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34300,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s430, c_n2) | (~node10(s430)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34301,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s430, c_n2) | (~node10(s430))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34300, 34299])).
% 18.00/12.79 tff(34302,plain,
% 18.00/12.79 (~node10(s430)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34301, 249, 34290])).
% 18.00/12.79 tff(34303,plain,
% 18.00/12.79 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s430, c_t2)) | (~m_main_v_state2(s430, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s430, c_t2)) | (~m_main_v_state2(s430, c_c2)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34304,plain,
% 18.00/12.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s430, c_t2)) | (~m_main_v_state2(s430, c_c2)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34305,plain,
% 18.00/12.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s430, c_t2)) | (~m_main_v_state2(s430, c_c2))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34304, 34303])).
% 18.00/12.79 tff(34306,plain,
% 18.00/12.79 (~m_main_v_state2(s430, c_c2)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34305, 260, 34286])).
% 18.00/12.79 tff(34307,plain,
% 18.00/12.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s429, c_n2)) | (~m_main_v_state2(s429, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s429, c_n2)) | (~m_main_v_state2(s429, c_c2)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34308,plain,
% 18.00/12.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s429, c_n2)) | (~m_main_v_state2(s429, c_c2)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34309,plain,
% 18.00/12.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s429, c_n2)) | (~m_main_v_state2(s429, c_c2))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34308, 34307])).
% 18.00/12.79 tff(34310,plain,
% 18.00/12.79 (~m_main_v_state2(s429, c_c2)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34309, 697, 34242])).
% 18.00/12.79 tff(34311,plain,
% 18.00/12.79 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s429, c_c2) | (~node3(s429)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s429, c_c2) | (~node3(s429)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34312,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s429, c_c2) | (~node3(s429)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34313,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s429, c_c2) | (~node3(s429))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34312, 34311])).
% 18.00/12.79 tff(34314,plain,
% 18.00/12.79 (~node3(s429)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34313, 399, 34310])).
% 18.00/12.79 tff(34315,plain,
% 18.00/12.79 (((~![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(s428, c_n1) | (~m_main_v_state1(s429, c_n1)) | (~node6(s428, s429)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s428, c_n1) | (~m_main_v_state1(s429, c_n1)) | (~node6(s428, s429)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34316,plain,
% 18.00/12.79 (((~node6(s428, s429)) | m_main_v_state1(s428, c_n1) | (~m_main_v_state1(s429, c_n1))) <=> (m_main_v_state1(s428, c_n1) | (~m_main_v_state1(s429, c_n1)) | (~node6(s428, s429)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34317,plain,
% 18.00/12.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s428, s429)) | m_main_v_state1(s428, c_n1) | (~m_main_v_state1(s429, 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(s428, c_n1) | (~m_main_v_state1(s429, c_n1)) | (~node6(s428, s429))))),
% 18.00/12.79 inference(monotonicity,[status(thm)],[34316])).
% 18.00/12.79 tff(34318,plain,
% 18.00/12.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s428, s429)) | m_main_v_state1(s428, c_n1) | (~m_main_v_state1(s429, 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(s428, c_n1) | (~m_main_v_state1(s429, c_n1)) | (~node6(s428, s429)))),
% 18.00/12.79 inference(transitivity,[status(thm)],[34317, 34315])).
% 18.00/12.79 tff(34319,plain,
% 18.00/12.79 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s428, s429)) | m_main_v_state1(s428, c_n1) | (~m_main_v_state1(s429, c_n1)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34320,plain,
% 18.00/12.79 ((~![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(s428, c_n1) | (~m_main_v_state1(s429, c_n1)) | (~node6(s428, s429))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34319, 34318])).
% 18.00/12.79 tff(34321,plain,
% 18.00/12.79 (~m_main_v_state1(s429, c_n1)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34320, 835, 34114, 34199])).
% 18.00/12.79 tff(34322,plain,
% 18.00/12.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s429, c_n1) | (~node2(s429)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s429, c_n1) | (~node2(s429)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34323,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s429, c_n1) | (~node2(s429)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34324,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s429, c_n1) | (~node2(s429))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34323, 34322])).
% 18.00/12.79 tff(34325,plain,
% 18.00/12.79 (~node2(s429)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34324, 787, 34321])).
% 18.00/12.79 tff(34326,plain,
% 18.00/12.79 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s429, c_t2) | (~node1(s429)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s429, c_t2) | (~node1(s429)))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34327,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s429, c_t2) | (~node1(s429)))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34328,plain,
% 18.00/12.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s429, c_t2) | (~node1(s429))),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34327, 34326])).
% 18.00/12.79 tff(34329,plain,
% 18.00/12.79 (~node1(s429)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34328, 195, 34246])).
% 18.00/12.79 tff(34330,plain,
% 18.00/12.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s429, s430)) | node7(s429, s430))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s429, s430)) | node7(s429, s430))),
% 18.00/12.79 inference(rewrite,[status(thm)],[])).
% 18.00/12.79 tff(34331,plain,
% 18.00/12.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s429, s430)) | node7(s429, s430))),
% 18.00/12.79 inference(quant_inst,[status(thm)],[])).
% 18.00/12.79 tff(34332,plain,
% 18.00/12.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s429, s430)) | node7(s429, s430)),
% 18.00/12.79 inference(modus_ponens,[status(thm)],[34331, 34330])).
% 18.00/12.79 tff(34333,plain,
% 18.00/12.79 (node7(s429, s430)),
% 18.00/12.79 inference(unit_resolution,[status(thm)],[34332, 206, 34257])).
% 18.00/12.79 tff(34334,plain,
% 18.00/12.79 (((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_state1(s430, c_c1) | node1(s429) | node2(s429) | node3(s429) | (~node7(s429, s430)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_state1(s430, c_c1) | node1(s429) | node2(s429) | node3(s429) | (~node7(s429, s430)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34335,plain,
% 18.00/12.80 (((~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | node1(s429) | node2(s429) | node3(s429) | (~node7(s429, s430)) | m_main_v_state1(s430, c_c1)) <=> ((~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_state1(s430, c_c1) | node1(s429) | node2(s429) | node3(s429) | (~node7(s429, s430)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34336,plain,
% 18.00/12.80 (((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | node1(s429) | node2(s429) | node3(s429) | (~node7(s429, s430)) | m_main_v_state1(s430, 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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_state1(s430, c_c1) | node1(s429) | node2(s429) | node3(s429) | (~node7(s429, s430))))),
% 18.00/12.80 inference(monotonicity,[status(thm)],[34335])).
% 18.00/12.80 tff(34337,plain,
% 18.00/12.80 (((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | node1(s429) | node2(s429) | node3(s429) | (~node7(s429, s430)) | m_main_v_state1(s430, 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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_state1(s430, c_c1) | node1(s429) | node2(s429) | node3(s429) | (~node7(s429, s430)))),
% 18.00/12.80 inference(transitivity,[status(thm)],[34336, 34334])).
% 18.00/12.80 tff(34338,plain,
% 18.00/12.80 ((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | node1(s429) | node2(s429) | node3(s429) | (~node7(s429, s430)) | m_main_v_state1(s430, c_c1))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34339,plain,
% 18.00/12.80 ((~![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(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_state1(s430, c_c1) | node1(s429) | node2(s429) | node3(s429) | (~node7(s429, s430))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34338, 34337])).
% 18.00/12.80 tff(34340,plain,
% 18.00/12.80 ((~m_main_v_state1(s429, c_t1)) | (~m_main_v_state2(s429, c_n2)) | m_main_v_state1(s430, c_c1) | node1(s429) | node2(s429) | node3(s429)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34339, 892, 34333])).
% 18.00/12.80 tff(34341,plain,
% 18.00/12.80 (m_main_v_state1(s430, c_c1)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34340, 34329, 34242, 34206, 34325, 34314])).
% 18.00/12.80 tff(34342,plain,
% 18.00/12.80 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s430, c_n1)) | (~m_main_v_state1(s430, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s430, c_n1)) | (~m_main_v_state1(s430, c_c1)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34343,plain,
% 18.00/12.80 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s430, c_n1)) | (~m_main_v_state1(s430, c_c1)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34344,plain,
% 18.00/12.80 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s430, c_n1)) | (~m_main_v_state1(s430, c_c1))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34343, 34342])).
% 18.00/12.80 tff(34345,plain,
% 18.00/12.80 (~m_main_v_state1(s430, c_n1)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34344, 454, 34341])).
% 18.00/12.80 tff(34346,plain,
% 18.00/12.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s430, c_n1) | (~node11(s430)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s430, c_n1) | (~node11(s430)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34347,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s430, c_n1) | (~node11(s430)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34348,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s430, c_n1) | (~node11(s430))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34347, 34346])).
% 18.00/12.80 tff(34349,plain,
% 18.00/12.80 (~node11(s430)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34348, 238, 34345])).
% 18.00/12.80 tff(34350,plain,
% 18.00/12.80 (succ(s430, s431) <=> succ(s430, s431)),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34351,axiom,(succ(s430, s431)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound431')).
% 18.00/12.80 tff(34352,plain,
% 18.00/12.80 (succ(s430, s431)),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34351, 34350])).
% 18.00/12.80 tff(34353,plain,
% 18.00/12.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s430, s431)) | trans(s430, s431))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s430, s431)) | trans(s430, s431))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34354,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s430, s431)) | trans(s430, s431))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34355,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s430, s431)) | trans(s430, s431)),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34354, 34353])).
% 18.00/12.80 tff(34356,plain,
% 18.00/12.80 (trans(s430, s431)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34355, 34352, 32])).
% 18.00/12.80 tff(34357,plain,
% 18.00/12.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s430, s431)) | node14(s430, s431))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s430, s431)) | node14(s430, s431))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34358,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s430, s431)) | node14(s430, s431))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34359,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s430, s431)) | node14(s430, s431)),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34358, 34357])).
% 18.00/12.80 tff(34360,plain,
% 18.00/12.80 (node14(s430, s431)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34359, 46, 34356])).
% 18.00/12.80 tff(34361,plain,
% 18.00/12.80 (((~![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(s430, c_c2) | node9(s430) | node8(s430) | node10(s430) | node11(s430) | node12(s430) | node13(s430, s431) | (~node14(s430, s431)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s430, c_c2) | node9(s430) | node8(s430) | node10(s430) | node11(s430) | node12(s430) | node13(s430, s431) | (~node14(s430, s431)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34362,plain,
% 18.00/12.80 ((~![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(s430, c_c2) | node9(s430) | node8(s430) | node10(s430) | node11(s430) | node12(s430) | node13(s430, s431) | (~node14(s430, s431)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34363,plain,
% 18.00/12.80 ((~![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(s430, c_c2) | node9(s430) | node8(s430) | node10(s430) | node11(s430) | node12(s430) | node13(s430, s431) | (~node14(s430, s431))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34362, 34361])).
% 18.00/12.80 tff(34364,plain,
% 18.00/12.80 (m_main_v_state2(s430, c_c2) | node9(s430) | node8(s430) | node10(s430) | node11(s430) | node12(s430) | node13(s430, s431)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34363, 296, 34360])).
% 18.00/12.80 tff(34365,plain,
% 18.00/12.80 (node13(s430, s431)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34364, 34349, 34306, 34302, 34298, 34294, 34277])).
% 18.00/12.80 tff(34366,plain,
% 18.00/12.80 (((~![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(s430, c_n2) | (~m_main_v_state2(s431, c_n2)) | (~node13(s430, s431)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s430, c_n2) | (~m_main_v_state2(s431, c_n2)) | (~node13(s430, s431)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34367,plain,
% 18.00/12.80 (((~node13(s430, s431)) | m_main_v_state2(s430, c_n2) | (~m_main_v_state2(s431, c_n2))) <=> (m_main_v_state2(s430, c_n2) | (~m_main_v_state2(s431, c_n2)) | (~node13(s430, s431)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34368,plain,
% 18.00/12.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s430, s431)) | m_main_v_state2(s430, c_n2) | (~m_main_v_state2(s431, 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(s430, c_n2) | (~m_main_v_state2(s431, c_n2)) | (~node13(s430, s431))))),
% 18.00/12.80 inference(monotonicity,[status(thm)],[34367])).
% 18.00/12.80 tff(34369,plain,
% 18.00/12.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s430, s431)) | m_main_v_state2(s430, c_n2) | (~m_main_v_state2(s431, 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(s430, c_n2) | (~m_main_v_state2(s431, c_n2)) | (~node13(s430, s431)))),
% 18.00/12.80 inference(transitivity,[status(thm)],[34368, 34366])).
% 18.00/12.80 tff(34370,plain,
% 18.00/12.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s430, s431)) | m_main_v_state2(s430, c_n2) | (~m_main_v_state2(s431, c_n2)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34371,plain,
% 18.00/12.80 ((~![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(s430, c_n2) | (~m_main_v_state2(s431, c_n2)) | (~node13(s430, s431))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34370, 34369])).
% 18.00/12.80 tff(34372,plain,
% 18.00/12.80 (~m_main_v_state2(s431, c_n2)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34371, 311, 34290, 34365])).
% 18.00/12.80 tff(34373,plain,
% 18.00/12.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s431, c_n2) | (~node9(s431)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s431, c_n2) | (~node9(s431)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34374,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s431, c_n2) | (~node9(s431)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34375,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s431, c_n2) | (~node9(s431))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34374, 34373])).
% 18.00/12.80 tff(34376,plain,
% 18.00/12.80 (~node9(s431)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34375, 88, 34372])).
% 18.00/12.80 tff(34377,plain,
% 18.00/12.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s431, c_n2) | (~node10(s431)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s431, c_n2) | (~node10(s431)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34378,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s431, c_n2) | (~node10(s431)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34379,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s431, c_n2) | (~node10(s431))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34378, 34377])).
% 18.00/12.80 tff(34380,plain,
% 18.00/12.80 (~node10(s431)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34379, 249, 34372])).
% 18.00/12.80 tff(34381,plain,
% 18.00/12.80 (((~![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(s430, c_t2)) | m_main_v_state2(s431, c_t2) | (~node13(s430, s431)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s430, c_t2)) | m_main_v_state2(s431, c_t2) | (~node13(s430, s431)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34382,plain,
% 18.00/12.80 (((~node13(s430, s431)) | (~m_main_v_state2(s430, c_t2)) | m_main_v_state2(s431, c_t2)) <=> ((~m_main_v_state2(s430, c_t2)) | m_main_v_state2(s431, c_t2) | (~node13(s430, s431)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34383,plain,
% 18.00/12.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s430, s431)) | (~m_main_v_state2(s430, c_t2)) | m_main_v_state2(s431, 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(s430, c_t2)) | m_main_v_state2(s431, c_t2) | (~node13(s430, s431))))),
% 18.00/12.80 inference(monotonicity,[status(thm)],[34382])).
% 18.00/12.80 tff(34384,plain,
% 18.00/12.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s430, s431)) | (~m_main_v_state2(s430, c_t2)) | m_main_v_state2(s431, 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(s430, c_t2)) | m_main_v_state2(s431, c_t2) | (~node13(s430, s431)))),
% 18.00/12.80 inference(transitivity,[status(thm)],[34383, 34381])).
% 18.00/12.80 tff(34385,plain,
% 18.00/12.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s430, s431)) | (~m_main_v_state2(s430, c_t2)) | m_main_v_state2(s431, c_t2))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34386,plain,
% 18.00/12.80 ((~![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(s430, c_t2)) | m_main_v_state2(s431, c_t2) | (~node13(s430, s431))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34385, 34384])).
% 18.00/12.80 tff(34387,plain,
% 18.00/12.80 (m_main_v_state2(s431, c_t2)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34386, 518, 34286, 34365])).
% 18.00/12.80 tff(34388,plain,
% 18.00/12.80 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s430, c_t1)) | (~m_main_v_state1(s430, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s430, c_t1)) | (~m_main_v_state1(s430, c_c1)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34389,plain,
% 18.00/12.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s430, c_t1)) | (~m_main_v_state1(s430, c_c1)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34390,plain,
% 18.00/12.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s430, c_t1)) | (~m_main_v_state1(s430, c_c1))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34389, 34388])).
% 18.00/12.80 tff(34391,plain,
% 18.00/12.80 (~m_main_v_state1(s430, c_t1)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34390, 539, 34341])).
% 18.00/12.80 tff(34392,plain,
% 18.00/12.80 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s430, c_t1) | (~node5(s430)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s430, c_t1) | (~node5(s430)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34393,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s430, c_t1) | (~node5(s430)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34394,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s430, c_t1) | (~node5(s430))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34393, 34392])).
% 18.00/12.80 tff(34395,plain,
% 18.00/12.80 (~node5(s430)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34394, 550, 34391])).
% 18.00/12.80 tff(34396,plain,
% 18.00/12.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s430, c_n2) | (~node4(s430)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s430, c_n2) | (~node4(s430)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34397,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s430, c_n2) | (~node4(s430)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34398,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s430, c_n2) | (~node4(s430))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34397, 34396])).
% 18.00/12.80 tff(34399,plain,
% 18.00/12.80 (~node4(s430)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34398, 388, 34290])).
% 18.00/12.80 tff(34400,plain,
% 18.00/12.80 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s430, c_c2) | (~node3(s430)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s430, c_c2) | (~node3(s430)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34401,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s430, c_c2) | (~node3(s430)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34402,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s430, c_c2) | (~node3(s430))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34401, 34400])).
% 18.00/12.80 tff(34403,plain,
% 18.00/12.80 (~node3(s430)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34402, 399, 34306])).
% 18.00/12.80 tff(34404,plain,
% 18.00/12.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s430, c_n2) | (~node2(s430)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s430, c_n2) | (~node2(s430)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34405,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s430, c_n2) | (~node2(s430)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34406,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s430, c_n2) | (~node2(s430))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34405, 34404])).
% 18.00/12.80 tff(34407,plain,
% 18.00/12.80 (~node2(s430)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34406, 410, 34290])).
% 18.00/12.80 tff(34408,plain,
% 18.00/12.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s430, c_n1) | (~node1(s430)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s430, c_n1) | (~node1(s430)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34409,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s430, c_n1) | (~node1(s430)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34410,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s430, c_n1) | (~node1(s430))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34409, 34408])).
% 18.00/12.80 tff(34411,plain,
% 18.00/12.80 (~node1(s430)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34410, 421, 34345])).
% 18.00/12.80 tff(34412,plain,
% 18.00/12.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s430, s431)) | node7(s430, s431))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s430, s431)) | node7(s430, s431))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34413,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s430, s431)) | node7(s430, s431))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34414,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s430, s431)) | node7(s430, s431)),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34413, 34412])).
% 18.00/12.80 tff(34415,plain,
% 18.00/12.80 (node7(s430, s431)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34414, 206, 34356])).
% 18.00/12.80 tff(34416,plain,
% 18.00/12.80 (((~![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(s431, c_n1) | (~m_main_v_state1(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430) | (~node7(s430, s431)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s431, c_n1) | (~m_main_v_state1(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430) | (~node7(s430, s431)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34417,plain,
% 18.00/12.80 (((~m_main_v_state1(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430) | (~node7(s430, s431)) | m_main_v_state1(s431, c_n1)) <=> (m_main_v_state1(s431, c_n1) | (~m_main_v_state1(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430) | (~node7(s430, s431)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34418,plain,
% 18.00/12.80 (((~![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(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430) | (~node7(s430, s431)) | m_main_v_state1(s431, 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(s431, c_n1) | (~m_main_v_state1(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430) | (~node7(s430, s431))))),
% 18.00/12.80 inference(monotonicity,[status(thm)],[34417])).
% 18.00/12.80 tff(34419,plain,
% 18.00/12.80 (((~![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(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430) | (~node7(s430, s431)) | m_main_v_state1(s431, 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(s431, c_n1) | (~m_main_v_state1(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430) | (~node7(s430, s431)))),
% 18.00/12.80 inference(transitivity,[status(thm)],[34418, 34416])).
% 18.00/12.80 tff(34420,plain,
% 18.00/12.80 ((~![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(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430) | (~node7(s430, s431)) | m_main_v_state1(s431, c_n1))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34421,plain,
% 18.00/12.80 ((~![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(s431, c_n1) | (~m_main_v_state1(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430) | (~node7(s430, s431))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34420, 34419])).
% 18.00/12.80 tff(34422,plain,
% 18.00/12.80 (m_main_v_state1(s431, c_n1) | (~m_main_v_state1(s430, c_c1)) | node1(s430) | node2(s430) | node3(s430) | node4(s430) | node5(s430)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34421, 584, 34415])).
% 18.00/12.80 tff(34423,plain,
% 18.00/12.80 (m_main_v_state1(s431, c_n1)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34422, 34411, 34341, 34407, 34403, 34399, 34395])).
% 18.00/12.80 tff(34424,plain,
% 18.00/12.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s431, c_n2) | (~node8(s431)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s431, c_n2) | (~node8(s431)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34425,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s431, c_n2) | (~node8(s431)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34426,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s431, c_n2) | (~node8(s431))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34425, 34424])).
% 18.00/12.80 tff(34427,plain,
% 18.00/12.80 (~node8(s431)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34426, 271, 34372])).
% 18.00/12.80 tff(34428,plain,
% 18.00/12.80 (succ(s431, s432) <=> succ(s431, s432)),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34429,axiom,(succ(s431, s432)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound432')).
% 18.00/12.80 tff(34430,plain,
% 18.00/12.80 (succ(s431, s432)),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34429, 34428])).
% 18.00/12.80 tff(34431,plain,
% 18.00/12.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s431, s432)) | trans(s431, s432))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s431, s432)) | trans(s431, s432))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34432,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s431, s432)) | trans(s431, s432))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34433,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s431, s432)) | trans(s431, s432)),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34432, 34431])).
% 18.00/12.80 tff(34434,plain,
% 18.00/12.80 (trans(s431, s432)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34433, 34430, 32])).
% 18.00/12.80 tff(34435,plain,
% 18.00/12.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s431, s432)) | node14(s431, s432))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s431, s432)) | node14(s431, s432))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34436,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s431, s432)) | node14(s431, s432))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34437,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s431, s432)) | node14(s431, s432)),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34436, 34435])).
% 18.00/12.80 tff(34438,plain,
% 18.00/12.80 (node14(s431, s432)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34437, 46, 34434])).
% 18.00/12.80 tff(34439,plain,
% 18.00/12.80 (((~![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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | node9(s431) | node8(s431) | node10(s431) | (~node14(s431, s432)) | m_main_v_state2(s432, 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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | node9(s431) | node8(s431) | node10(s431) | (~node14(s431, s432)) | m_main_v_state2(s432, c_c2))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34440,plain,
% 18.00/12.80 ((~![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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | node9(s431) | node8(s431) | node10(s431) | (~node14(s431, s432)) | m_main_v_state2(s432, c_c2))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34441,plain,
% 18.00/12.80 ((~![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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | node9(s431) | node8(s431) | node10(s431) | (~node14(s431, s432)) | m_main_v_state2(s432, c_c2)),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34440, 34439])).
% 18.00/12.80 tff(34442,plain,
% 18.00/12.80 ((~m_main_v_state1(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | node9(s431) | node8(s431) | node10(s431) | m_main_v_state2(s432, c_c2)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34441, 617, 34438])).
% 18.00/12.80 tff(34443,plain,
% 18.00/12.80 (m_main_v_state2(s432, c_c2)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34442, 34427, 34423, 34387, 34380, 34376])).
% 18.00/12.80 tff(34444,plain,
% 18.00/12.80 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s432, c_t2)) | (~m_main_v_state2(s432, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s432, c_t2)) | (~m_main_v_state2(s432, c_c2)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34445,plain,
% 18.00/12.80 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s432, c_t2)) | (~m_main_v_state2(s432, c_c2)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34446,plain,
% 18.00/12.80 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s432, c_t2)) | (~m_main_v_state2(s432, c_c2))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34445, 34444])).
% 18.00/12.80 tff(34447,plain,
% 18.00/12.80 (~m_main_v_state2(s432, c_t2)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34446, 260, 34443])).
% 18.00/12.80 tff(34448,plain,
% 18.00/12.80 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s432, c_t2) | (~node12(s432)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s432, c_t2) | (~node12(s432)))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34449,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s432, c_t2) | (~node12(s432)))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34450,plain,
% 18.00/12.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s432, c_t2) | (~node12(s432))),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34449, 34448])).
% 18.00/12.80 tff(34451,plain,
% 18.00/12.80 (~node12(s432)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34450, 633, 34447])).
% 18.00/12.80 tff(34452,plain,
% 18.00/12.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s431, s432)) | node7(s431, s432))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s431, s432)) | node7(s431, s432))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34453,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s431, s432)) | node7(s431, s432))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34454,plain,
% 18.00/12.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s431, s432)) | node7(s431, s432)),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34453, 34452])).
% 18.00/12.80 tff(34455,plain,
% 18.00/12.80 (node7(s431, s432)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34454, 206, 34434])).
% 18.00/12.80 tff(34456,plain,
% 18.00/12.80 (((~![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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | (~node7(s431, s432)) | m_main_v_state1(s432, 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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | (~node7(s431, s432)) | m_main_v_state1(s432, c_t1))),
% 18.00/12.80 inference(rewrite,[status(thm)],[])).
% 18.00/12.80 tff(34457,plain,
% 18.00/12.80 ((~![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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | (~node7(s431, s432)) | m_main_v_state1(s432, c_t1))),
% 18.00/12.80 inference(quant_inst,[status(thm)],[])).
% 18.00/12.80 tff(34458,plain,
% 18.00/12.80 ((~![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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | (~node7(s431, s432)) | m_main_v_state1(s432, c_t1)),
% 18.00/12.80 inference(modus_ponens,[status(thm)],[34457, 34456])).
% 18.00/12.80 tff(34459,plain,
% 18.00/12.80 ((~m_main_v_state1(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | m_main_v_state1(s432, c_t1)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34458, 651, 34455])).
% 18.00/12.80 tff(34460,plain,
% 18.00/12.80 (m_main_v_state1(s432, c_t1)),
% 18.00/12.80 inference(unit_resolution,[status(thm)],[34459, 34387, 34423])).
% 18.00/12.80 tff(34461,plain,
% 18.00/12.80 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s432, c_n1)) | (~m_main_v_state1(s432, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s432, c_n1)) | (~m_main_v_state1(s432, c_t1)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34462,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s432, c_n1)) | (~m_main_v_state1(s432, c_t1)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34463,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s432, c_n1)) | (~m_main_v_state1(s432, c_t1))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34462, 34461])).
% 18.00/12.81 tff(34464,plain,
% 18.00/12.81 (~m_main_v_state1(s432, c_n1)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34463, 10, 34460])).
% 18.00/12.81 tff(34465,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s432, c_n1) | (~node11(s432)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s432, c_n1) | (~node11(s432)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34466,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s432, c_n1) | (~node11(s432)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34467,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s432, c_n1) | (~node11(s432))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34466, 34465])).
% 18.00/12.81 tff(34468,plain,
% 18.00/12.81 (~node11(s432)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34467, 238, 34464])).
% 18.00/12.81 tff(34469,plain,
% 18.00/12.81 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s432, c_t1)) | (~m_main_v_state1(s432, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s432, c_t1)) | (~m_main_v_state1(s432, c_c1)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34470,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s432, c_t1)) | (~m_main_v_state1(s432, c_c1)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34471,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s432, c_t1)) | (~m_main_v_state1(s432, c_c1))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34470, 34469])).
% 18.00/12.81 tff(34472,plain,
% 18.00/12.81 (~m_main_v_state1(s432, c_c1)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34471, 539, 34460])).
% 18.00/12.81 tff(34473,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s432, c_c1) | (~node10(s432)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s432, c_c1) | (~node10(s432)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34474,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s432, c_c1) | (~node10(s432)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34475,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s432, c_c1) | (~node10(s432))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34474, 34473])).
% 18.00/12.81 tff(34476,plain,
% 18.00/12.81 (~node10(s432)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34475, 675, 34472])).
% 18.00/12.81 tff(34477,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s432, c_n1) | (~node9(s432)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s432, c_n1) | (~node9(s432)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34478,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s432, c_n1) | (~node9(s432)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34479,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s432, c_n1) | (~node9(s432))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34478, 34477])).
% 18.00/12.81 tff(34480,plain,
% 18.00/12.81 (~node9(s432)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34479, 686, 34464])).
% 18.00/12.81 tff(34481,plain,
% 18.00/12.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s432, c_n2)) | (~m_main_v_state2(s432, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s432, c_n2)) | (~m_main_v_state2(s432, c_c2)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34482,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s432, c_n2)) | (~m_main_v_state2(s432, c_c2)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34483,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s432, c_n2)) | (~m_main_v_state2(s432, c_c2))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34482, 34481])).
% 18.00/12.81 tff(34484,plain,
% 18.00/12.81 (~m_main_v_state2(s432, c_n2)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34483, 697, 34443])).
% 18.00/12.81 tff(34485,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s432, c_n2) | (~node8(s432)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s432, c_n2) | (~node8(s432)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34486,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s432, c_n2) | (~node8(s432)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34487,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s432, c_n2) | (~node8(s432))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34486, 34485])).
% 18.00/12.81 tff(34488,plain,
% 18.00/12.81 (~node8(s432)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34487, 271, 34484])).
% 18.00/12.81 tff(34489,plain,
% 18.00/12.81 (succ(s432, s433) <=> succ(s432, s433)),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34490,axiom,(succ(s432, s433)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound433')).
% 18.00/12.81 tff(34491,plain,
% 18.00/12.81 (succ(s432, s433)),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34490, 34489])).
% 18.00/12.81 tff(34492,plain,
% 18.00/12.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s432, s433)) | trans(s432, s433))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s432, s433)) | trans(s432, s433))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34493,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s432, s433)) | trans(s432, s433))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34494,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s432, s433)) | trans(s432, s433)),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34493, 34492])).
% 18.00/12.81 tff(34495,plain,
% 18.00/12.81 (trans(s432, s433)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34494, 34491, 32])).
% 18.00/12.81 tff(34496,plain,
% 18.00/12.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s432, s433)) | node14(s432, s433))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s432, s433)) | node14(s432, s433))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34497,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s432, s433)) | node14(s432, s433))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34498,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s432, s433)) | node14(s432, s433)),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34497, 34496])).
% 18.00/12.81 tff(34499,plain,
% 18.00/12.81 (node14(s432, s433)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34498, 46, 34495])).
% 18.00/12.81 tff(34500,plain,
% 18.00/12.81 (((~![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(s433, c_n2) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~node14(s432, s433)) | (~m_main_v_state2(s432, 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(s433, c_n2) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~node14(s432, s433)) | (~m_main_v_state2(s432, c_c2)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34501,plain,
% 18.00/12.81 (((~m_main_v_state2(s432, c_c2)) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~node14(s432, s433)) | m_main_v_state2(s433, c_n2)) <=> (m_main_v_state2(s433, c_n2) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~node14(s432, s433)) | (~m_main_v_state2(s432, c_c2)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34502,plain,
% 18.00/12.81 (((~![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(s432, c_c2)) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~node14(s432, s433)) | m_main_v_state2(s433, 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(s433, c_n2) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~node14(s432, s433)) | (~m_main_v_state2(s432, c_c2))))),
% 18.00/12.81 inference(monotonicity,[status(thm)],[34501])).
% 18.00/12.81 tff(34503,plain,
% 18.00/12.81 (((~![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(s432, c_c2)) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~node14(s432, s433)) | m_main_v_state2(s433, 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(s433, c_n2) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~node14(s432, s433)) | (~m_main_v_state2(s432, c_c2)))),
% 18.00/12.81 inference(transitivity,[status(thm)],[34502, 34500])).
% 18.00/12.81 tff(34504,plain,
% 18.00/12.81 ((~![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(s432, c_c2)) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~node14(s432, s433)) | m_main_v_state2(s433, c_n2))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34505,plain,
% 18.00/12.81 ((~![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(s433, c_n2) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~node14(s432, s433)) | (~m_main_v_state2(s432, c_c2))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34504, 34503])).
% 18.00/12.81 tff(34506,plain,
% 18.00/12.81 (m_main_v_state2(s433, c_n2) | node9(s432) | node8(s432) | node10(s432) | node11(s432) | node12(s432) | (~m_main_v_state2(s432, c_c2))),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34505, 726, 34499])).
% 18.00/12.81 tff(34507,plain,
% 18.00/12.81 (m_main_v_state2(s433, c_n2)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34506, 34488, 34443, 34480, 34476, 34468, 34451])).
% 18.00/12.81 tff(34508,plain,
% 18.00/12.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s433, c_n2)) | (~m_main_v_state2(s433, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s433, c_n2)) | (~m_main_v_state2(s433, c_c2)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34509,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s433, c_n2)) | (~m_main_v_state2(s433, c_c2)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34510,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s433, c_n2)) | (~m_main_v_state2(s433, c_c2))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34509, 34508])).
% 18.00/12.81 tff(34511,plain,
% 18.00/12.81 (~m_main_v_state2(s433, c_c2)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34510, 697, 34507])).
% 18.00/12.81 tff(34512,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s433, c_c2) | (~node3(s433)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s433, c_c2) | (~node3(s433)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34513,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s433, c_c2) | (~node3(s433)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34514,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s433, c_c2) | (~node3(s433))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34513, 34512])).
% 18.00/12.81 tff(34515,plain,
% 18.00/12.81 (~node3(s433)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34514, 399, 34511])).
% 18.00/12.81 tff(34516,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s432, c_n1) | (~node1(s432)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s432, c_n1) | (~node1(s432)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34517,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s432, c_n1) | (~node1(s432)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34518,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s432, c_n1) | (~node1(s432))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34517, 34516])).
% 18.00/12.81 tff(34519,plain,
% 18.00/12.81 (~node1(s432)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34518, 421, 34464])).
% 18.00/12.81 tff(34520,plain,
% 18.00/12.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s431, s432)) | node18(s431, s432))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s431, s432)) | node18(s431, s432))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34521,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s431, s432)) | node18(s431, s432))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34522,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s431, s432)) | node18(s431, s432)),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34521, 34520])).
% 18.00/12.81 tff(34523,plain,
% 18.00/12.81 (node18(s431, s432)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34522, 125, 34434])).
% 18.00/12.81 tff(34524,plain,
% 18.00/12.81 (((~![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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | (~node18(s431, s432)) | m_main_v_turn(s432, 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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | (~node18(s431, s432)) | m_main_v_turn(s432, c_2))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34525,plain,
% 18.00/12.81 ((~![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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | (~node18(s431, s432)) | m_main_v_turn(s432, c_2))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34526,plain,
% 18.00/12.81 ((~![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(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | (~node18(s431, s432)) | m_main_v_turn(s432, c_2)),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34525, 34524])).
% 18.00/12.81 tff(34527,plain,
% 18.00/12.81 ((~m_main_v_state1(s431, c_n1)) | (~m_main_v_state2(s431, c_t2)) | m_main_v_turn(s432, c_2)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34526, 760, 34523])).
% 18.00/12.81 tff(34528,plain,
% 18.00/12.81 (m_main_v_turn(s432, c_2)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34527, 34387, 34423])).
% 18.00/12.81 tff(34529,plain,
% 18.00/12.81 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s432, c_1)) | (~m_main_v_turn(s432, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s432, c_1)) | (~m_main_v_turn(s432, c_2)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34530,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s432, c_1)) | (~m_main_v_turn(s432, c_2)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34531,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s432, c_1)) | (~m_main_v_turn(s432, c_2))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34530, 34529])).
% 18.00/12.81 tff(34532,plain,
% 18.00/12.81 (~m_main_v_turn(s432, c_1)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34531, 156, 34528])).
% 18.00/12.81 tff(34533,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s432, c_1) | (~node5(s432)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s432, c_1) | (~node5(s432)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34534,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s432, c_1) | (~node5(s432)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34535,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s432, c_1) | (~node5(s432))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34534, 34533])).
% 18.00/12.81 tff(34536,plain,
% 18.00/12.81 (~node5(s432)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34535, 776, 34532])).
% 18.00/12.81 tff(34537,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s432, c_n1) | (~node2(s432)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s432, c_n1) | (~node2(s432)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34538,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s432, c_n1) | (~node2(s432)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34539,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s432, c_n1) | (~node2(s432))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34538, 34537])).
% 18.00/12.81 tff(34540,plain,
% 18.00/12.81 (~node2(s432)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34539, 787, 34464])).
% 18.00/12.81 tff(34541,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s432, c_n1) | (~node3(s432)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s432, c_n1) | (~node3(s432)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34542,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s432, c_n1) | (~node3(s432)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34543,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s432, c_n1) | (~node3(s432))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34542, 34541])).
% 18.00/12.81 tff(34544,plain,
% 18.00/12.81 (~node3(s432)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34543, 798, 34464])).
% 18.00/12.81 tff(34545,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s432, c_n2) | (~node4(s432)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s432, c_n2) | (~node4(s432)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34546,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s432, c_n2) | (~node4(s432)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34547,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s432, c_n2) | (~node4(s432))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34546, 34545])).
% 18.00/12.81 tff(34548,plain,
% 18.00/12.81 (~node4(s432)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34547, 388, 34484])).
% 18.00/12.81 tff(34549,plain,
% 18.00/12.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s432, s433)) | node7(s432, s433))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s432, s433)) | node7(s432, s433))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34550,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s432, s433)) | node7(s432, s433))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34551,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s432, s433)) | node7(s432, s433)),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34550, 34549])).
% 18.00/12.81 tff(34552,plain,
% 18.00/12.81 (node7(s432, s433)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34551, 206, 34495])).
% 18.00/12.81 tff(34553,plain,
% 18.00/12.81 (((~![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(s432, c_c1) | node1(s432) | node2(s432) | node3(s432) | node4(s432) | node5(s432) | node6(s432, s433) | (~node7(s432, s433)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s432, c_c1) | node1(s432) | node2(s432) | node3(s432) | node4(s432) | node5(s432) | node6(s432, s433) | (~node7(s432, s433)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34554,plain,
% 18.00/12.81 ((~![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(s432, c_c1) | node1(s432) | node2(s432) | node3(s432) | node4(s432) | node5(s432) | node6(s432, s433) | (~node7(s432, s433)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34555,plain,
% 18.00/12.81 ((~![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(s432, c_c1) | node1(s432) | node2(s432) | node3(s432) | node4(s432) | node5(s432) | node6(s432, s433) | (~node7(s432, s433))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34554, 34553])).
% 18.00/12.81 tff(34556,plain,
% 18.00/12.81 (m_main_v_state1(s432, c_c1) | node1(s432) | node2(s432) | node3(s432) | node4(s432) | node5(s432) | node6(s432, s433)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34555, 820, 34552])).
% 18.00/12.81 tff(34557,plain,
% 18.00/12.81 (node6(s432, s433)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34556, 34548, 34472, 34544, 34540, 34536, 34519])).
% 18.00/12.81 tff(34558,plain,
% 18.00/12.81 (((~![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(s432, c_n1) | (~m_main_v_state1(s433, c_n1)) | (~node6(s432, s433)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s432, c_n1) | (~m_main_v_state1(s433, c_n1)) | (~node6(s432, s433)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34559,plain,
% 18.00/12.81 (((~node6(s432, s433)) | m_main_v_state1(s432, c_n1) | (~m_main_v_state1(s433, c_n1))) <=> (m_main_v_state1(s432, c_n1) | (~m_main_v_state1(s433, c_n1)) | (~node6(s432, s433)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34560,plain,
% 18.00/12.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s432, s433)) | m_main_v_state1(s432, c_n1) | (~m_main_v_state1(s433, 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(s432, c_n1) | (~m_main_v_state1(s433, c_n1)) | (~node6(s432, s433))))),
% 18.00/12.81 inference(monotonicity,[status(thm)],[34559])).
% 18.00/12.81 tff(34561,plain,
% 18.00/12.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s432, s433)) | m_main_v_state1(s432, c_n1) | (~m_main_v_state1(s433, 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(s432, c_n1) | (~m_main_v_state1(s433, c_n1)) | (~node6(s432, s433)))),
% 18.00/12.81 inference(transitivity,[status(thm)],[34560, 34558])).
% 18.00/12.81 tff(34562,plain,
% 18.00/12.81 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s432, s433)) | m_main_v_state1(s432, c_n1) | (~m_main_v_state1(s433, c_n1)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34563,plain,
% 18.00/12.81 ((~![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(s432, c_n1) | (~m_main_v_state1(s433, c_n1)) | (~node6(s432, s433))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34562, 34561])).
% 18.00/12.81 tff(34564,plain,
% 18.00/12.81 (~m_main_v_state1(s433, c_n1)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34563, 835, 34464, 34557])).
% 18.00/12.81 tff(34565,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s433, c_n1) | (~node2(s433)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s433, c_n1) | (~node2(s433)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34566,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s433, c_n1) | (~node2(s433)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34567,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s433, c_n1) | (~node2(s433))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34566, 34565])).
% 18.00/12.81 tff(34568,plain,
% 18.00/12.81 (~node2(s433)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34567, 787, 34564])).
% 18.00/12.81 tff(34569,plain,
% 18.00/12.81 (((~![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(s432, c_t1)) | m_main_v_state1(s433, c_t1) | (~node6(s432, s433)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s432, c_t1)) | m_main_v_state1(s433, c_t1) | (~node6(s432, s433)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34570,plain,
% 18.00/12.81 (((~node6(s432, s433)) | (~m_main_v_state1(s432, c_t1)) | m_main_v_state1(s433, c_t1)) <=> ((~m_main_v_state1(s432, c_t1)) | m_main_v_state1(s433, c_t1) | (~node6(s432, s433)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34571,plain,
% 18.00/12.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s432, s433)) | (~m_main_v_state1(s432, c_t1)) | m_main_v_state1(s433, 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(s432, c_t1)) | m_main_v_state1(s433, c_t1) | (~node6(s432, s433))))),
% 18.00/12.81 inference(monotonicity,[status(thm)],[34570])).
% 18.00/12.81 tff(34572,plain,
% 18.00/12.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s432, s433)) | (~m_main_v_state1(s432, c_t1)) | m_main_v_state1(s433, 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(s432, c_t1)) | m_main_v_state1(s433, c_t1) | (~node6(s432, s433)))),
% 18.00/12.81 inference(transitivity,[status(thm)],[34571, 34569])).
% 18.00/12.81 tff(34573,plain,
% 18.00/12.81 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s432, s433)) | (~m_main_v_state1(s432, c_t1)) | m_main_v_state1(s433, c_t1))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34574,plain,
% 18.00/12.81 ((~![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(s432, c_t1)) | m_main_v_state1(s433, c_t1) | (~node6(s432, s433))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34573, 34572])).
% 18.00/12.81 tff(34575,plain,
% 18.00/12.81 (m_main_v_state1(s433, c_t1)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34574, 856, 34460, 34557])).
% 18.00/12.81 tff(34576,plain,
% 18.00/12.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s433, c_n2)) | (~m_main_v_state2(s433, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s433, c_n2)) | (~m_main_v_state2(s433, c_t2)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34577,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s433, c_n2)) | (~m_main_v_state2(s433, c_t2)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34578,plain,
% 18.00/12.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s433, c_n2)) | (~m_main_v_state2(s433, c_t2))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34577, 34576])).
% 18.00/12.81 tff(34579,plain,
% 18.00/12.81 (~m_main_v_state2(s433, c_t2)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34578, 77, 34507])).
% 18.00/12.81 tff(34580,plain,
% 18.00/12.81 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s433, c_t2) | (~node1(s433)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s433, c_t2) | (~node1(s433)))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34581,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s433, c_t2) | (~node1(s433)))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34582,plain,
% 18.00/12.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s433, c_t2) | (~node1(s433))),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34581, 34580])).
% 18.00/12.81 tff(34583,plain,
% 18.00/12.81 (~node1(s433)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34582, 195, 34579])).
% 18.00/12.81 tff(34584,plain,
% 18.00/12.81 (succ(s433, s434) <=> succ(s433, s434)),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34585,axiom,(succ(s433, s434)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound434')).
% 18.00/12.81 tff(34586,plain,
% 18.00/12.81 (succ(s433, s434)),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34585, 34584])).
% 18.00/12.81 tff(34587,plain,
% 18.00/12.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s433, s434)) | trans(s433, s434))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s433, s434)) | trans(s433, s434))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34588,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s433, s434)) | trans(s433, s434))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34589,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s433, s434)) | trans(s433, s434)),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34588, 34587])).
% 18.00/12.81 tff(34590,plain,
% 18.00/12.81 (trans(s433, s434)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34589, 34586, 32])).
% 18.00/12.81 tff(34591,plain,
% 18.00/12.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s433, s434)) | node7(s433, s434))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s433, s434)) | node7(s433, s434))),
% 18.00/12.81 inference(rewrite,[status(thm)],[])).
% 18.00/12.81 tff(34592,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s433, s434)) | node7(s433, s434))),
% 18.00/12.81 inference(quant_inst,[status(thm)],[])).
% 18.00/12.81 tff(34593,plain,
% 18.00/12.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s433, s434)) | node7(s433, s434)),
% 18.00/12.81 inference(modus_ponens,[status(thm)],[34592, 34591])).
% 18.00/12.81 tff(34594,plain,
% 18.00/12.81 (node7(s433, s434)),
% 18.00/12.81 inference(unit_resolution,[status(thm)],[34593, 206, 34590])).
% 18.00/12.81 tff(34595,plain,
% 18.00/12.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_state1(s434, c_c1) | node1(s433) | node2(s433) | node3(s433) | (~node7(s433, s434)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_state1(s434, c_c1) | node1(s433) | node2(s433) | node3(s433) | (~node7(s433, s434)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34596,plain,
% 18.00/12.82 (((~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | node1(s433) | node2(s433) | node3(s433) | (~node7(s433, s434)) | m_main_v_state1(s434, c_c1)) <=> ((~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_state1(s434, c_c1) | node1(s433) | node2(s433) | node3(s433) | (~node7(s433, s434)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34597,plain,
% 18.00/12.82 (((~![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(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | node1(s433) | node2(s433) | node3(s433) | (~node7(s433, s434)) | m_main_v_state1(s434, 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(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_state1(s434, c_c1) | node1(s433) | node2(s433) | node3(s433) | (~node7(s433, s434))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34596])).
% 18.00/12.82 tff(34598,plain,
% 18.00/12.82 (((~![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(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | node1(s433) | node2(s433) | node3(s433) | (~node7(s433, s434)) | m_main_v_state1(s434, 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(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_state1(s434, c_c1) | node1(s433) | node2(s433) | node3(s433) | (~node7(s433, s434)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34597, 34595])).
% 18.00/12.82 tff(34599,plain,
% 18.00/12.82 ((~![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(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | node1(s433) | node2(s433) | node3(s433) | (~node7(s433, s434)) | m_main_v_state1(s434, c_c1))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34600,plain,
% 18.00/12.82 ((~![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(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_state1(s434, c_c1) | node1(s433) | node2(s433) | node3(s433) | (~node7(s433, s434))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34599, 34598])).
% 18.00/12.82 tff(34601,plain,
% 18.00/12.82 ((~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_state1(s434, c_c1) | node1(s433) | node2(s433) | node3(s433)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34600, 892, 34594])).
% 18.00/12.82 tff(34602,plain,
% 18.00/12.82 (m_main_v_state1(s434, c_c1)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34601, 34583, 34507, 34575, 34568, 34515])).
% 18.00/12.82 tff(34603,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s434)) | (~m_main_v_state1(s434, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s434)) | (~m_main_v_state1(s434, c_c1)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34604,plain,
% 18.00/12.82 (((~m_main_v_state1(s434, c_c1)) | (~always19(s434))) <=> ((~always19(s434)) | (~m_main_v_state1(s434, c_c1)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34605,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s434, c_c1)) | (~always19(s434)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s434)) | (~m_main_v_state1(s434, c_c1))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34604])).
% 18.00/12.82 tff(34606,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s434, c_c1)) | (~always19(s434)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s434)) | (~m_main_v_state1(s434, c_c1)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34605, 34603])).
% 18.00/12.82 tff(34607,plain,
% 18.00/12.82 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s434, c_c1)) | (~always19(s434)))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34608,plain,
% 18.00/12.82 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s434)) | (~m_main_v_state1(s434, c_c1))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34607, 34606])).
% 18.00/12.82 tff(34609,plain,
% 18.00/12.82 (~always19(s434)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34608, 7835, 34602])).
% 18.00/12.82 tff(34610,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s433, s434)) | (~always19(s433)) | always19(s434))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s433, s434)) | (~always19(s433)) | always19(s434))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34611,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s433, s434)) | (~always19(s433)) | always19(s434))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34612,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s433, s434)) | (~always19(s433)) | always19(s434)),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34611, 34610])).
% 18.00/12.82 tff(34613,plain,
% 18.00/12.82 ((~always19(s433)) | always19(s434)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34612, 7852, 34590])).
% 18.00/12.82 tff(34614,plain,
% 18.00/12.82 (~always19(s433)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34613, 34609])).
% 18.00/12.82 tff(34615,assumption,(trans(s464, s433)), introduced(assumption)).
% 18.00/12.82 tff(34616,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s433) | (~trans(s464, s433)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s433) | (~trans(s464, s433)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34617,plain,
% 18.00/12.82 (((~trans(s464, s433)) | (~always19(s464)) | always19(s433)) <=> ((~always19(s464)) | always19(s433) | (~trans(s464, s433)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34618,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s433)) | (~always19(s464)) | always19(s433))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s433) | (~trans(s464, s433))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34617])).
% 18.00/12.82 tff(34619,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s433)) | (~always19(s464)) | always19(s433))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s433) | (~trans(s464, s433)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34618, 34616])).
% 18.00/12.82 tff(34620,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s433)) | (~always19(s464)) | always19(s433))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34621,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s433) | (~trans(s464, s433))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34620, 34619])).
% 18.00/12.82 tff(34622,plain,
% 18.00/12.82 ($false),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34621, 34615, 7852, 7868, 34614])).
% 18.00/12.82 tff(34623,plain,((~trans(s464, s433)) | (~always19(s464))), inference(lemma,lemma(discharge,[]))).
% 18.00/12.82 tff(34624,plain,
% 18.00/12.82 (~trans(s464, s433)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34623, 7868])).
% 18.00/12.82 tff(34625,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s414)) | (~m_main_v_state1(s414, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s414)) | (~m_main_v_state1(s414, c_c1)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34626,plain,
% 18.00/12.82 (((~m_main_v_state1(s414, c_c1)) | (~always19(s414))) <=> ((~always19(s414)) | (~m_main_v_state1(s414, c_c1)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34627,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s414, c_c1)) | (~always19(s414)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s414)) | (~m_main_v_state1(s414, c_c1))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34626])).
% 18.00/12.82 tff(34628,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s414, c_c1)) | (~always19(s414)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s414)) | (~m_main_v_state1(s414, c_c1)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34627, 34625])).
% 18.00/12.82 tff(34629,plain,
% 18.00/12.82 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s414, c_c1)) | (~always19(s414)))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34630,plain,
% 18.00/12.82 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s414)) | (~m_main_v_state1(s414, c_c1))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34629, 34628])).
% 18.00/12.82 tff(34631,plain,
% 18.00/12.82 (~always19(s414)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34630, 7835, 33085])).
% 18.00/12.82 tff(34632,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s413, s414)) | (~always19(s413)) | always19(s414))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s413, s414)) | (~always19(s413)) | always19(s414))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34633,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s413, s414)) | (~always19(s413)) | always19(s414))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34634,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s413, s414)) | (~always19(s413)) | always19(s414)),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34633, 34632])).
% 18.00/12.82 tff(34635,plain,
% 18.00/12.82 ((~always19(s413)) | always19(s414)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34634, 7852, 33001])).
% 18.00/12.82 tff(34636,plain,
% 18.00/12.82 (~always19(s413)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34635, 34631])).
% 18.00/12.82 tff(34637,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s412, s413)) | (~always19(s412)) | always19(s413))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s412, s413)) | (~always19(s412)) | always19(s413))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34638,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s412, s413)) | (~always19(s412)) | always19(s413))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34639,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s412, s413)) | (~always19(s412)) | always19(s413)),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34638, 34637])).
% 18.00/12.82 tff(34640,plain,
% 18.00/12.82 ((~always19(s412)) | always19(s413)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34639, 7852, 32934])).
% 18.00/12.82 tff(34641,plain,
% 18.00/12.82 (~always19(s412)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34640, 34636])).
% 18.00/12.82 tff(34642,assumption,(trans(s464, s412)), introduced(assumption)).
% 18.00/12.82 tff(34643,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s412) | (~trans(s464, s412)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s412) | (~trans(s464, s412)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34644,plain,
% 18.00/12.82 (((~trans(s464, s412)) | (~always19(s464)) | always19(s412)) <=> ((~always19(s464)) | always19(s412) | (~trans(s464, s412)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34645,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s412)) | (~always19(s464)) | always19(s412))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s412) | (~trans(s464, s412))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34644])).
% 18.00/12.82 tff(34646,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s412)) | (~always19(s464)) | always19(s412))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s412) | (~trans(s464, s412)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34645, 34643])).
% 18.00/12.82 tff(34647,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s412)) | (~always19(s464)) | always19(s412))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34648,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s412) | (~trans(s464, s412))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34647, 34646])).
% 18.00/12.82 tff(34649,plain,
% 18.00/12.82 ($false),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34648, 34642, 7852, 7868, 34641])).
% 18.00/12.82 tff(34650,plain,((~trans(s464, s412)) | (~always19(s464))), inference(lemma,lemma(discharge,[]))).
% 18.00/12.82 tff(34651,plain,
% 18.00/12.82 (~trans(s464, s412)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34650, 7868])).
% 18.00/12.82 tff(34652,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s98)) | (~m_main_v_state1(s98, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s98)) | (~m_main_v_state1(s98, c_c1)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34653,plain,
% 18.00/12.82 (((~m_main_v_state1(s98, c_c1)) | (~always19(s98))) <=> ((~always19(s98)) | (~m_main_v_state1(s98, c_c1)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34654,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s98, c_c1)) | (~always19(s98)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s98)) | (~m_main_v_state1(s98, c_c1))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34653])).
% 18.00/12.82 tff(34655,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s98, c_c1)) | (~always19(s98)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s98)) | (~m_main_v_state1(s98, c_c1)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34654, 34652])).
% 18.00/12.82 tff(34656,plain,
% 18.00/12.82 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s98, c_c1)) | (~always19(s98)))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34657,plain,
% 18.00/12.82 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s98)) | (~m_main_v_state1(s98, c_c1))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34656, 34655])).
% 18.00/12.82 tff(34658,plain,
% 18.00/12.82 (~always19(s98)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34657, 7835, 8182])).
% 18.00/12.82 tff(34659,assumption,(trans(s464, s98)), introduced(assumption)).
% 18.00/12.82 tff(34660,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s98) | (~trans(s464, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s98) | (~trans(s464, s98)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34661,plain,
% 18.00/12.82 (((~trans(s464, s98)) | (~always19(s464)) | always19(s98)) <=> ((~always19(s464)) | always19(s98) | (~trans(s464, s98)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34662,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s98)) | (~always19(s464)) | always19(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s98) | (~trans(s464, s98))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34661])).
% 18.00/12.82 tff(34663,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s98)) | (~always19(s464)) | always19(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s98) | (~trans(s464, s98)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34662, 34660])).
% 18.00/12.82 tff(34664,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s98)) | (~always19(s464)) | always19(s98))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34665,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s98) | (~trans(s464, s98))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34664, 34663])).
% 18.00/12.82 tff(34666,plain,
% 18.00/12.82 ($false),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34665, 34659, 7852, 7868, 34658])).
% 18.00/12.82 tff(34667,plain,((~trans(s464, s98)) | (~always19(s464))), inference(lemma,lemma(discharge,[]))).
% 18.00/12.82 tff(34668,plain,
% 18.00/12.82 (~trans(s464, s98)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34667, 7868])).
% 18.00/12.82 tff(34669,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s262)) | (~m_main_v_state1(s262, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s262)) | (~m_main_v_state1(s262, c_c1)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34670,plain,
% 18.00/12.82 (((~m_main_v_state1(s262, c_c1)) | (~always19(s262))) <=> ((~always19(s262)) | (~m_main_v_state1(s262, c_c1)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34671,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s262, c_c1)) | (~always19(s262)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s262)) | (~m_main_v_state1(s262, c_c1))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34670])).
% 18.00/12.82 tff(34672,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s262, c_c1)) | (~always19(s262)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s262)) | (~m_main_v_state1(s262, c_c1)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34671, 34669])).
% 18.00/12.82 tff(34673,plain,
% 18.00/12.82 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s262, c_c1)) | (~always19(s262)))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34674,plain,
% 18.00/12.82 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s262)) | (~m_main_v_state1(s262, c_c1))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34673, 34672])).
% 18.00/12.82 tff(34675,plain,
% 18.00/12.82 (~always19(s262)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34674, 7835, 21153])).
% 18.00/12.82 tff(34676,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s261, s262)) | (~always19(s261)) | always19(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s261, s262)) | (~always19(s261)) | always19(s262))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34677,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s261, s262)) | (~always19(s261)) | always19(s262))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34678,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s261, s262)) | (~always19(s261)) | always19(s262)),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34677, 34676])).
% 18.00/12.82 tff(34679,plain,
% 18.00/12.82 ((~always19(s261)) | always19(s262)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34678, 7852, 21069])).
% 18.00/12.82 tff(34680,plain,
% 18.00/12.82 (~always19(s261)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34679, 34675])).
% 18.00/12.82 tff(34681,assumption,(trans(s464, s261)), introduced(assumption)).
% 18.00/12.82 tff(34682,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s261) | (~trans(s464, s261)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s261) | (~trans(s464, s261)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34683,plain,
% 18.00/12.82 (((~trans(s464, s261)) | (~always19(s464)) | always19(s261)) <=> ((~always19(s464)) | always19(s261) | (~trans(s464, s261)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34684,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s261)) | (~always19(s464)) | always19(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s261) | (~trans(s464, s261))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34683])).
% 18.00/12.82 tff(34685,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s261)) | (~always19(s464)) | always19(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s261) | (~trans(s464, s261)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34684, 34682])).
% 18.00/12.82 tff(34686,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s261)) | (~always19(s464)) | always19(s261))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34687,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s261) | (~trans(s464, s261))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34686, 34685])).
% 18.00/12.82 tff(34688,plain,
% 18.00/12.82 ($false),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34687, 34681, 7852, 7868, 34680])).
% 18.00/12.82 tff(34689,plain,((~trans(s464, s261)) | (~always19(s464))), inference(lemma,lemma(discharge,[]))).
% 18.00/12.82 tff(34690,plain,
% 18.00/12.82 (~trans(s464, s261)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34689, 7868])).
% 18.00/12.82 tff(34691,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s274)) | (~m_main_v_state1(s274, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s274)) | (~m_main_v_state1(s274, c_c1)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34692,plain,
% 18.00/12.82 (((~m_main_v_state1(s274, c_c1)) | (~always19(s274))) <=> ((~always19(s274)) | (~m_main_v_state1(s274, c_c1)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34693,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s274, c_c1)) | (~always19(s274)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s274)) | (~m_main_v_state1(s274, c_c1))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34692])).
% 18.00/12.82 tff(34694,plain,
% 18.00/12.82 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s274, c_c1)) | (~always19(s274)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s274)) | (~m_main_v_state1(s274, c_c1)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34693, 34691])).
% 18.00/12.82 tff(34695,plain,
% 18.00/12.82 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s274, c_c1)) | (~always19(s274)))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34696,plain,
% 18.00/12.82 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s274)) | (~m_main_v_state1(s274, c_c1))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34695, 34694])).
% 18.00/12.82 tff(34697,plain,
% 18.00/12.82 (~always19(s274)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34696, 7835, 22042])).
% 18.00/12.82 tff(34698,assumption,(trans(s464, s274)), introduced(assumption)).
% 18.00/12.82 tff(34699,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s274) | (~trans(s464, s274)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s274) | (~trans(s464, s274)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34700,plain,
% 18.00/12.82 (((~trans(s464, s274)) | (~always19(s464)) | always19(s274)) <=> ((~always19(s464)) | always19(s274) | (~trans(s464, s274)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34701,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s274)) | (~always19(s464)) | always19(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s274) | (~trans(s464, s274))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34700])).
% 18.00/12.82 tff(34702,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s274)) | (~always19(s464)) | always19(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s274) | (~trans(s464, s274)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34701, 34699])).
% 18.00/12.82 tff(34703,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s274)) | (~always19(s464)) | always19(s274))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34704,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s274) | (~trans(s464, s274))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34703, 34702])).
% 18.00/12.82 tff(34705,plain,
% 18.00/12.82 ($false),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34704, 34698, 7852, 7868, 34697])).
% 18.00/12.82 tff(34706,plain,((~trans(s464, s274)) | (~always19(s464))), inference(lemma,lemma(discharge,[]))).
% 18.00/12.82 tff(34707,plain,
% 18.00/12.82 (~trans(s464, s274)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34706, 7868])).
% 18.00/12.82 tff(34708,assumption,(trans(s464, s93)), introduced(assumption)).
% 18.00/12.82 tff(34709,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s93) | (~trans(s464, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s93) | (~trans(s464, s93)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34710,plain,
% 18.00/12.82 (((~trans(s464, s93)) | (~always19(s464)) | always19(s93)) <=> ((~always19(s464)) | always19(s93) | (~trans(s464, s93)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34711,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s93)) | (~always19(s464)) | always19(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s464)) | always19(s93) | (~trans(s464, s93))))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34710])).
% 18.00/12.82 tff(34712,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s93)) | (~always19(s464)) | always19(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s93) | (~trans(s464, s93)))),
% 18.00/12.82 inference(transitivity,[status(thm)],[34711, 34709])).
% 18.00/12.82 tff(34713,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s464, s93)) | (~always19(s464)) | always19(s93))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34714,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s464)) | always19(s93) | (~trans(s464, s93))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34713, 34712])).
% 18.00/12.82 tff(34715,plain,
% 18.00/12.82 ($false),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34714, 34708, 7852, 7868, 7857])).
% 18.00/12.82 tff(34716,plain,((~trans(s464, s93)) | (~always19(s464))), inference(lemma,lemma(discharge,[]))).
% 18.00/12.82 tff(34717,plain,
% 18.00/12.82 (~trans(s464, s93)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34716, 7868])).
% 18.00/12.82 tff(34718,plain,
% 18.00/12.82 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s433, c_t2) | (~node15(s433)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s433, c_t2) | (~node15(s433)))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34719,plain,
% 18.00/12.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s433, c_t2) | (~node15(s433)))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34720,plain,
% 18.00/12.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s433, c_t2) | (~node15(s433))),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34719, 34718])).
% 18.00/12.82 tff(34721,plain,
% 18.00/12.82 (~node15(s433)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34720, 103, 34579])).
% 18.00/12.82 tff(34722,plain,
% 18.00/12.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s433, s434)) | node18(s433, s434))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s433, s434)) | node18(s433, s434))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34723,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s433, s434)) | node18(s433, s434))),
% 18.00/12.82 inference(quant_inst,[status(thm)],[])).
% 18.00/12.82 tff(34724,plain,
% 18.00/12.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s433, s434)) | node18(s433, s434)),
% 18.00/12.82 inference(modus_ponens,[status(thm)],[34723, 34722])).
% 18.00/12.82 tff(34725,plain,
% 18.00/12.82 (node18(s433, s434)),
% 18.00/12.82 inference(unit_resolution,[status(thm)],[34724, 125, 34590])).
% 18.00/12.82 tff(34726,plain,
% 18.00/12.82 (((~![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(s433) | (~node18(s433, s434)) | (~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_turn(s434, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s433) | (~node18(s433, s434)) | (~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_turn(s434, c_1))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34727,plain,
% 18.00/12.82 (((~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | node15(s433) | (~node18(s433, s434)) | m_main_v_turn(s434, c_1)) <=> (node15(s433) | (~node18(s433, s434)) | (~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_turn(s434, c_1))),
% 18.00/12.82 inference(rewrite,[status(thm)],[])).
% 18.00/12.82 tff(34728,plain,
% 18.00/12.82 (((~![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(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | node15(s433) | (~node18(s433, s434)) | m_main_v_turn(s434, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s433) | (~node18(s433, s434)) | (~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_turn(s434, c_1)))),
% 18.00/12.82 inference(monotonicity,[status(thm)],[34727])).
% 18.00/12.82 tff(34729,plain,
% 18.00/12.82 (((~![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(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | node15(s433) | (~node18(s433, s434)) | m_main_v_turn(s434, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s433) | (~node18(s433, s434)) | (~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_turn(s434, c_1))),
% 18.00/12.83 inference(transitivity,[status(thm)],[34728, 34726])).
% 18.00/12.83 tff(34730,plain,
% 18.00/12.83 ((~![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(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | node15(s433) | (~node18(s433, s434)) | m_main_v_turn(s434, c_1))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34731,plain,
% 18.00/12.83 ((~![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(s433) | (~node18(s433, s434)) | (~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_turn(s434, c_1)),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34730, 34729])).
% 18.00/12.83 tff(34732,plain,
% 18.00/12.83 (node15(s433) | (~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_turn(s434, c_1)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34731, 992, 34725])).
% 18.00/12.83 tff(34733,plain,
% 18.00/12.83 (m_main_v_turn(s434, c_1)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34732, 34721, 34507, 34575])).
% 18.00/12.83 tff(34734,plain,
% 18.00/12.83 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s434, c_1)) | (~m_main_v_turn(s434, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s434, c_1)) | (~m_main_v_turn(s434, c_2)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34735,plain,
% 18.00/12.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s434, c_1)) | (~m_main_v_turn(s434, c_2)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34736,plain,
% 18.00/12.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s434, c_1)) | (~m_main_v_turn(s434, c_2))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34735, 34734])).
% 18.00/12.83 tff(34737,plain,
% 18.00/12.83 (~m_main_v_turn(s434, c_2)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34736, 156, 34733])).
% 18.00/12.83 tff(34738,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s434, c_2) | (~node12(s434)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s434, c_2) | (~node12(s434)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34739,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s434, c_2) | (~node12(s434)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34740,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s434, c_2) | (~node12(s434))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34739, 34738])).
% 18.00/12.83 tff(34741,plain,
% 18.00/12.83 (~node12(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34740, 184, 34737])).
% 18.00/12.83 tff(34742,plain,
% 18.00/12.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s433, s434)) | node14(s433, s434))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s433, s434)) | node14(s433, s434))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34743,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s433, s434)) | node14(s433, s434))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34744,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s433, s434)) | node14(s433, s434)),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34743, 34742])).
% 18.00/12.83 tff(34745,plain,
% 18.00/12.83 (node14(s433, s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34744, 46, 34590])).
% 18.00/12.83 tff(34746,plain,
% 18.00/12.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | (~node14(s433, s434)) | m_main_v_state2(s434, 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(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | (~node14(s433, s434)) | m_main_v_state2(s434, c_t2))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34747,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | (~node14(s433, s434)) | m_main_v_state2(s434, c_t2))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34748,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | (~node14(s433, s434)) | m_main_v_state2(s434, c_t2)),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34747, 34746])).
% 18.00/12.83 tff(34749,plain,
% 18.00/12.83 ((~m_main_v_state1(s433, c_t1)) | (~m_main_v_state2(s433, c_n2)) | m_main_v_state2(s434, c_t2)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34748, 922, 34745])).
% 18.00/12.83 tff(34750,plain,
% 18.00/12.83 (m_main_v_state2(s434, c_t2)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34749, 34575, 34507])).
% 18.00/12.83 tff(34751,plain,
% 18.00/12.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s434, c_n2)) | (~m_main_v_state2(s434, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s434, c_n2)) | (~m_main_v_state2(s434, c_t2)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34752,plain,
% 18.00/12.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s434, c_n2)) | (~m_main_v_state2(s434, c_t2)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34753,plain,
% 18.00/12.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s434, c_n2)) | (~m_main_v_state2(s434, c_t2))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34752, 34751])).
% 18.00/12.83 tff(34754,plain,
% 18.00/12.83 (~m_main_v_state2(s434, c_n2)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34753, 77, 34750])).
% 18.00/12.83 tff(34755,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s434, c_n2) | (~node8(s434)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s434, c_n2) | (~node8(s434)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34756,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s434, c_n2) | (~node8(s434)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34757,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s434, c_n2) | (~node8(s434))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34756, 34755])).
% 18.00/12.83 tff(34758,plain,
% 18.00/12.83 (~node8(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34757, 271, 34754])).
% 18.00/12.83 tff(34759,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s434, c_n2) | (~node9(s434)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s434, c_n2) | (~node9(s434)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34760,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s434, c_n2) | (~node9(s434)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34761,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s434, c_n2) | (~node9(s434))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34760, 34759])).
% 18.00/12.83 tff(34762,plain,
% 18.00/12.83 (~node9(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34761, 88, 34754])).
% 18.00/12.83 tff(34763,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s434, c_n2) | (~node10(s434)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s434, c_n2) | (~node10(s434)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34764,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s434, c_n2) | (~node10(s434)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34765,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s434, c_n2) | (~node10(s434))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34764, 34763])).
% 18.00/12.83 tff(34766,plain,
% 18.00/12.83 (~node10(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34765, 249, 34754])).
% 18.00/12.83 tff(34767,plain,
% 18.00/12.83 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s434, c_t2)) | (~m_main_v_state2(s434, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s434, c_t2)) | (~m_main_v_state2(s434, c_c2)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34768,plain,
% 18.00/12.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s434, c_t2)) | (~m_main_v_state2(s434, c_c2)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34769,plain,
% 18.00/12.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s434, c_t2)) | (~m_main_v_state2(s434, c_c2))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34768, 34767])).
% 18.00/12.83 tff(34770,plain,
% 18.00/12.83 (~m_main_v_state2(s434, c_c2)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34769, 260, 34750])).
% 18.00/12.83 tff(34771,plain,
% 18.00/12.83 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s434, c_n1)) | (~m_main_v_state1(s434, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s434, c_n1)) | (~m_main_v_state1(s434, c_c1)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34772,plain,
% 18.00/12.83 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s434, c_n1)) | (~m_main_v_state1(s434, c_c1)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34773,plain,
% 18.00/12.83 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s434, c_n1)) | (~m_main_v_state1(s434, c_c1))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34772, 34771])).
% 18.00/12.83 tff(34774,plain,
% 18.00/12.83 (~m_main_v_state1(s434, c_n1)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34773, 454, 34602])).
% 18.00/12.83 tff(34775,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s434, c_n1) | (~node11(s434)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s434, c_n1) | (~node11(s434)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34776,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s434, c_n1) | (~node11(s434)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34777,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s434, c_n1) | (~node11(s434))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34776, 34775])).
% 18.00/12.83 tff(34778,plain,
% 18.00/12.83 (~node11(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34777, 238, 34774])).
% 18.00/12.83 tff(34779,plain,
% 18.00/12.83 (succ(s434, s435) <=> succ(s434, s435)),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34780,axiom,(succ(s434, s435)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound435')).
% 18.00/12.83 tff(34781,plain,
% 18.00/12.83 (succ(s434, s435)),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34780, 34779])).
% 18.00/12.83 tff(34782,plain,
% 18.00/12.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s434, s435)) | trans(s434, s435))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s434, s435)) | trans(s434, s435))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34783,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s434, s435)) | trans(s434, s435))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34784,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s434, s435)) | trans(s434, s435)),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34783, 34782])).
% 18.00/12.83 tff(34785,plain,
% 18.00/12.83 (trans(s434, s435)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34784, 34781, 32])).
% 18.00/12.83 tff(34786,plain,
% 18.00/12.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s434, s435)) | node14(s434, s435))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s434, s435)) | node14(s434, s435))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34787,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s434, s435)) | node14(s434, s435))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34788,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s434, s435)) | node14(s434, s435)),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34787, 34786])).
% 18.00/12.83 tff(34789,plain,
% 18.00/12.83 (node14(s434, s435)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34788, 46, 34785])).
% 18.00/12.83 tff(34790,plain,
% 18.00/12.83 (((~![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(s434, c_c2) | node9(s434) | node8(s434) | node10(s434) | node11(s434) | node12(s434) | node13(s434, s435) | (~node14(s434, s435)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s434, c_c2) | node9(s434) | node8(s434) | node10(s434) | node11(s434) | node12(s434) | node13(s434, s435) | (~node14(s434, s435)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34791,plain,
% 18.00/12.83 ((~![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(s434, c_c2) | node9(s434) | node8(s434) | node10(s434) | node11(s434) | node12(s434) | node13(s434, s435) | (~node14(s434, s435)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34792,plain,
% 18.00/12.83 ((~![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(s434, c_c2) | node9(s434) | node8(s434) | node10(s434) | node11(s434) | node12(s434) | node13(s434, s435) | (~node14(s434, s435))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34791, 34790])).
% 18.00/12.83 tff(34793,plain,
% 18.00/12.83 (m_main_v_state2(s434, c_c2) | node9(s434) | node8(s434) | node10(s434) | node11(s434) | node12(s434) | node13(s434, s435)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34792, 296, 34789])).
% 18.00/12.83 tff(34794,plain,
% 18.00/12.83 (node13(s434, s435)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34793, 34778, 34770, 34766, 34762, 34758, 34741])).
% 18.00/12.83 tff(34795,plain,
% 18.00/12.83 (((~![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(s434, c_n2) | (~m_main_v_state2(s435, c_n2)) | (~node13(s434, s435)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s434, c_n2) | (~m_main_v_state2(s435, c_n2)) | (~node13(s434, s435)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34796,plain,
% 18.00/12.83 (((~node13(s434, s435)) | m_main_v_state2(s434, c_n2) | (~m_main_v_state2(s435, c_n2))) <=> (m_main_v_state2(s434, c_n2) | (~m_main_v_state2(s435, c_n2)) | (~node13(s434, s435)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34797,plain,
% 18.00/12.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s434, s435)) | m_main_v_state2(s434, c_n2) | (~m_main_v_state2(s435, 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(s434, c_n2) | (~m_main_v_state2(s435, c_n2)) | (~node13(s434, s435))))),
% 18.00/12.83 inference(monotonicity,[status(thm)],[34796])).
% 18.00/12.83 tff(34798,plain,
% 18.00/12.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s434, s435)) | m_main_v_state2(s434, c_n2) | (~m_main_v_state2(s435, 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(s434, c_n2) | (~m_main_v_state2(s435, c_n2)) | (~node13(s434, s435)))),
% 18.00/12.83 inference(transitivity,[status(thm)],[34797, 34795])).
% 18.00/12.83 tff(34799,plain,
% 18.00/12.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s434, s435)) | m_main_v_state2(s434, c_n2) | (~m_main_v_state2(s435, c_n2)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34800,plain,
% 18.00/12.83 ((~![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(s434, c_n2) | (~m_main_v_state2(s435, c_n2)) | (~node13(s434, s435))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34799, 34798])).
% 18.00/12.83 tff(34801,plain,
% 18.00/12.83 (~m_main_v_state2(s435, c_n2)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34800, 311, 34754, 34794])).
% 18.00/12.83 tff(34802,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s435, c_n2) | (~node9(s435)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s435, c_n2) | (~node9(s435)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34803,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s435, c_n2) | (~node9(s435)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34804,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s435, c_n2) | (~node9(s435))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34803, 34802])).
% 18.00/12.83 tff(34805,plain,
% 18.00/12.83 (~node9(s435)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34804, 88, 34801])).
% 18.00/12.83 tff(34806,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s435, c_n2) | (~node10(s435)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s435, c_n2) | (~node10(s435)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34807,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s435, c_n2) | (~node10(s435)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34808,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s435, c_n2) | (~node10(s435))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34807, 34806])).
% 18.00/12.83 tff(34809,plain,
% 18.00/12.83 (~node10(s435)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34808, 249, 34801])).
% 18.00/12.83 tff(34810,plain,
% 18.00/12.83 (((~![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(s434, c_t2)) | m_main_v_state2(s435, c_t2) | (~node13(s434, s435)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s434, c_t2)) | m_main_v_state2(s435, c_t2) | (~node13(s434, s435)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34811,plain,
% 18.00/12.83 (((~node13(s434, s435)) | (~m_main_v_state2(s434, c_t2)) | m_main_v_state2(s435, c_t2)) <=> ((~m_main_v_state2(s434, c_t2)) | m_main_v_state2(s435, c_t2) | (~node13(s434, s435)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34812,plain,
% 18.00/12.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s434, s435)) | (~m_main_v_state2(s434, c_t2)) | m_main_v_state2(s435, 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(s434, c_t2)) | m_main_v_state2(s435, c_t2) | (~node13(s434, s435))))),
% 18.00/12.83 inference(monotonicity,[status(thm)],[34811])).
% 18.00/12.83 tff(34813,plain,
% 18.00/12.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s434, s435)) | (~m_main_v_state2(s434, c_t2)) | m_main_v_state2(s435, 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(s434, c_t2)) | m_main_v_state2(s435, c_t2) | (~node13(s434, s435)))),
% 18.00/12.83 inference(transitivity,[status(thm)],[34812, 34810])).
% 18.00/12.83 tff(34814,plain,
% 18.00/12.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s434, s435)) | (~m_main_v_state2(s434, c_t2)) | m_main_v_state2(s435, c_t2))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34815,plain,
% 18.00/12.83 ((~![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(s434, c_t2)) | m_main_v_state2(s435, c_t2) | (~node13(s434, s435))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34814, 34813])).
% 18.00/12.83 tff(34816,plain,
% 18.00/12.83 (m_main_v_state2(s435, c_t2)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34815, 518, 34750, 34794])).
% 18.00/12.83 tff(34817,plain,
% 18.00/12.83 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s434, c_t1)) | (~m_main_v_state1(s434, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s434, c_t1)) | (~m_main_v_state1(s434, c_c1)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34818,plain,
% 18.00/12.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s434, c_t1)) | (~m_main_v_state1(s434, c_c1)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34819,plain,
% 18.00/12.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s434, c_t1)) | (~m_main_v_state1(s434, c_c1))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34818, 34817])).
% 18.00/12.83 tff(34820,plain,
% 18.00/12.83 (~m_main_v_state1(s434, c_t1)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34819, 539, 34602])).
% 18.00/12.83 tff(34821,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s434, c_t1) | (~node5(s434)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s434, c_t1) | (~node5(s434)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34822,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s434, c_t1) | (~node5(s434)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34823,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s434, c_t1) | (~node5(s434))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34822, 34821])).
% 18.00/12.83 tff(34824,plain,
% 18.00/12.83 (~node5(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34823, 550, 34820])).
% 18.00/12.83 tff(34825,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s434, c_n2) | (~node4(s434)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s434, c_n2) | (~node4(s434)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34826,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s434, c_n2) | (~node4(s434)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34827,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s434, c_n2) | (~node4(s434))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34826, 34825])).
% 18.00/12.83 tff(34828,plain,
% 18.00/12.83 (~node4(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34827, 388, 34754])).
% 18.00/12.83 tff(34829,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s434, c_c2) | (~node3(s434)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s434, c_c2) | (~node3(s434)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34830,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s434, c_c2) | (~node3(s434)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34831,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s434, c_c2) | (~node3(s434))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34830, 34829])).
% 18.00/12.83 tff(34832,plain,
% 18.00/12.83 (~node3(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34831, 399, 34770])).
% 18.00/12.83 tff(34833,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s434, c_n2) | (~node2(s434)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s434, c_n2) | (~node2(s434)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34834,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s434, c_n2) | (~node2(s434)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34835,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s434, c_n2) | (~node2(s434))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34834, 34833])).
% 18.00/12.83 tff(34836,plain,
% 18.00/12.83 (~node2(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34835, 410, 34754])).
% 18.00/12.83 tff(34837,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s434, c_n1) | (~node1(s434)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s434, c_n1) | (~node1(s434)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34838,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s434, c_n1) | (~node1(s434)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34839,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s434, c_n1) | (~node1(s434))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34838, 34837])).
% 18.00/12.83 tff(34840,plain,
% 18.00/12.83 (~node1(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34839, 421, 34774])).
% 18.00/12.83 tff(34841,plain,
% 18.00/12.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s434, s435)) | node7(s434, s435))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s434, s435)) | node7(s434, s435))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34842,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s434, s435)) | node7(s434, s435))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34843,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s434, s435)) | node7(s434, s435)),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34842, 34841])).
% 18.00/12.83 tff(34844,plain,
% 18.00/12.83 (node7(s434, s435)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34843, 206, 34785])).
% 18.00/12.83 tff(34845,plain,
% 18.00/12.83 (((~![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(s435, c_n1) | (~m_main_v_state1(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434) | (~node7(s434, s435)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s435, c_n1) | (~m_main_v_state1(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434) | (~node7(s434, s435)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34846,plain,
% 18.00/12.83 (((~m_main_v_state1(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434) | (~node7(s434, s435)) | m_main_v_state1(s435, c_n1)) <=> (m_main_v_state1(s435, c_n1) | (~m_main_v_state1(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434) | (~node7(s434, s435)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34847,plain,
% 18.00/12.83 (((~![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(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434) | (~node7(s434, s435)) | m_main_v_state1(s435, 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(s435, c_n1) | (~m_main_v_state1(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434) | (~node7(s434, s435))))),
% 18.00/12.83 inference(monotonicity,[status(thm)],[34846])).
% 18.00/12.83 tff(34848,plain,
% 18.00/12.83 (((~![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(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434) | (~node7(s434, s435)) | m_main_v_state1(s435, 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(s435, c_n1) | (~m_main_v_state1(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434) | (~node7(s434, s435)))),
% 18.00/12.83 inference(transitivity,[status(thm)],[34847, 34845])).
% 18.00/12.83 tff(34849,plain,
% 18.00/12.83 ((~![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(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434) | (~node7(s434, s435)) | m_main_v_state1(s435, c_n1))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34850,plain,
% 18.00/12.83 ((~![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(s435, c_n1) | (~m_main_v_state1(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434) | (~node7(s434, s435))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34849, 34848])).
% 18.00/12.83 tff(34851,plain,
% 18.00/12.83 (m_main_v_state1(s435, c_n1) | (~m_main_v_state1(s434, c_c1)) | node1(s434) | node2(s434) | node3(s434) | node4(s434) | node5(s434)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34850, 584, 34844])).
% 18.00/12.83 tff(34852,plain,
% 18.00/12.83 (m_main_v_state1(s435, c_n1)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34851, 34840, 34602, 34836, 34832, 34828, 34824])).
% 18.00/12.83 tff(34853,plain,
% 18.00/12.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s435, c_n2) | (~node8(s435)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s435, c_n2) | (~node8(s435)))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34854,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s435, c_n2) | (~node8(s435)))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34855,plain,
% 18.00/12.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s435, c_n2) | (~node8(s435))),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34854, 34853])).
% 18.00/12.83 tff(34856,plain,
% 18.00/12.83 (~node8(s435)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34855, 271, 34801])).
% 18.00/12.83 tff(34857,plain,
% 18.00/12.83 (succ(s435, s436) <=> succ(s435, s436)),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34858,axiom,(succ(s435, s436)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound436')).
% 18.00/12.83 tff(34859,plain,
% 18.00/12.83 (succ(s435, s436)),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34858, 34857])).
% 18.00/12.83 tff(34860,plain,
% 18.00/12.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s435, s436)) | trans(s435, s436))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s435, s436)) | trans(s435, s436))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34861,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s435, s436)) | trans(s435, s436))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34862,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s435, s436)) | trans(s435, s436)),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34861, 34860])).
% 18.00/12.83 tff(34863,plain,
% 18.00/12.83 (trans(s435, s436)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34862, 34859, 32])).
% 18.00/12.83 tff(34864,plain,
% 18.00/12.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s435, s436)) | node14(s435, s436))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s435, s436)) | node14(s435, s436))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34865,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s435, s436)) | node14(s435, s436))),
% 18.00/12.83 inference(quant_inst,[status(thm)],[])).
% 18.00/12.83 tff(34866,plain,
% 18.00/12.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s435, s436)) | node14(s435, s436)),
% 18.00/12.83 inference(modus_ponens,[status(thm)],[34865, 34864])).
% 18.00/12.83 tff(34867,plain,
% 18.00/12.83 (node14(s435, s436)),
% 18.00/12.83 inference(unit_resolution,[status(thm)],[34866, 46, 34863])).
% 18.00/12.83 tff(34868,plain,
% 18.00/12.83 (((~![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(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | node9(s435) | node8(s435) | node10(s435) | (~node14(s435, s436)) | m_main_v_state2(s436, 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(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | node9(s435) | node8(s435) | node10(s435) | (~node14(s435, s436)) | m_main_v_state2(s436, c_c2))),
% 18.00/12.83 inference(rewrite,[status(thm)],[])).
% 18.00/12.83 tff(34869,plain,
% 18.00/12.83 ((~![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(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | node9(s435) | node8(s435) | node10(s435) | (~node14(s435, s436)) | m_main_v_state2(s436, c_c2))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34870,plain,
% 18.00/12.84 ((~![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(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | node9(s435) | node8(s435) | node10(s435) | (~node14(s435, s436)) | m_main_v_state2(s436, c_c2)),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34869, 34868])).
% 18.00/12.84 tff(34871,plain,
% 18.00/12.84 ((~m_main_v_state1(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | node9(s435) | node8(s435) | node10(s435) | m_main_v_state2(s436, c_c2)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34870, 617, 34867])).
% 18.00/12.84 tff(34872,plain,
% 18.00/12.84 (m_main_v_state2(s436, c_c2)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34871, 34856, 34852, 34816, 34809, 34805])).
% 18.00/12.84 tff(34873,plain,
% 18.00/12.84 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s436, c_t2)) | (~m_main_v_state2(s436, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s436, c_t2)) | (~m_main_v_state2(s436, c_c2)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34874,plain,
% 18.00/12.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s436, c_t2)) | (~m_main_v_state2(s436, c_c2)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34875,plain,
% 18.00/12.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s436, c_t2)) | (~m_main_v_state2(s436, c_c2))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34874, 34873])).
% 18.00/12.84 tff(34876,plain,
% 18.00/12.84 (~m_main_v_state2(s436, c_t2)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34875, 260, 34872])).
% 18.00/12.84 tff(34877,plain,
% 18.00/12.84 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s436, c_t2) | (~node12(s436)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s436, c_t2) | (~node12(s436)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34878,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s436, c_t2) | (~node12(s436)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34879,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s436, c_t2) | (~node12(s436))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34878, 34877])).
% 18.00/12.84 tff(34880,plain,
% 18.00/12.84 (~node12(s436)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34879, 633, 34876])).
% 18.00/12.84 tff(34881,plain,
% 18.00/12.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s435, s436)) | node7(s435, s436))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s435, s436)) | node7(s435, s436))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34882,plain,
% 18.00/12.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s435, s436)) | node7(s435, s436))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34883,plain,
% 18.00/12.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s435, s436)) | node7(s435, s436)),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34882, 34881])).
% 18.00/12.84 tff(34884,plain,
% 18.00/12.84 (node7(s435, s436)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34883, 206, 34863])).
% 18.00/12.84 tff(34885,plain,
% 18.00/12.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | (~node7(s435, s436)) | m_main_v_state1(s436, 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(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | (~node7(s435, s436)) | m_main_v_state1(s436, c_t1))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34886,plain,
% 18.00/12.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | (~node7(s435, s436)) | m_main_v_state1(s436, c_t1))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34887,plain,
% 18.00/12.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | (~node7(s435, s436)) | m_main_v_state1(s436, c_t1)),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34886, 34885])).
% 18.00/12.84 tff(34888,plain,
% 18.00/12.84 ((~m_main_v_state1(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | m_main_v_state1(s436, c_t1)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34887, 651, 34884])).
% 18.00/12.84 tff(34889,plain,
% 18.00/12.84 (m_main_v_state1(s436, c_t1)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34888, 34816, 34852])).
% 18.00/12.84 tff(34890,plain,
% 18.00/12.84 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s436, c_n1)) | (~m_main_v_state1(s436, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s436, c_n1)) | (~m_main_v_state1(s436, c_t1)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34891,plain,
% 18.00/12.84 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s436, c_n1)) | (~m_main_v_state1(s436, c_t1)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34892,plain,
% 18.00/12.84 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s436, c_n1)) | (~m_main_v_state1(s436, c_t1))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34891, 34890])).
% 18.00/12.84 tff(34893,plain,
% 18.00/12.84 (~m_main_v_state1(s436, c_n1)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34892, 10, 34889])).
% 18.00/12.84 tff(34894,plain,
% 18.00/12.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s436, c_n1) | (~node11(s436)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s436, c_n1) | (~node11(s436)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34895,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s436, c_n1) | (~node11(s436)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34896,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s436, c_n1) | (~node11(s436))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34895, 34894])).
% 18.00/12.84 tff(34897,plain,
% 18.00/12.84 (~node11(s436)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34896, 238, 34893])).
% 18.00/12.84 tff(34898,plain,
% 18.00/12.84 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s436, c_t1)) | (~m_main_v_state1(s436, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s436, c_t1)) | (~m_main_v_state1(s436, c_c1)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34899,plain,
% 18.00/12.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s436, c_t1)) | (~m_main_v_state1(s436, c_c1)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34900,plain,
% 18.00/12.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s436, c_t1)) | (~m_main_v_state1(s436, c_c1))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34899, 34898])).
% 18.00/12.84 tff(34901,plain,
% 18.00/12.84 (~m_main_v_state1(s436, c_c1)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34900, 539, 34889])).
% 18.00/12.84 tff(34902,plain,
% 18.00/12.84 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s436, c_c1) | (~node10(s436)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s436, c_c1) | (~node10(s436)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34903,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s436, c_c1) | (~node10(s436)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34904,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s436, c_c1) | (~node10(s436))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34903, 34902])).
% 18.00/12.84 tff(34905,plain,
% 18.00/12.84 (~node10(s436)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34904, 675, 34901])).
% 18.00/12.84 tff(34906,plain,
% 18.00/12.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s436, c_n1) | (~node9(s436)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s436, c_n1) | (~node9(s436)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34907,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s436, c_n1) | (~node9(s436)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34908,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s436, c_n1) | (~node9(s436))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34907, 34906])).
% 18.00/12.84 tff(34909,plain,
% 18.00/12.84 (~node9(s436)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34908, 686, 34893])).
% 18.00/12.84 tff(34910,plain,
% 18.00/12.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s436, c_n2)) | (~m_main_v_state2(s436, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s436, c_n2)) | (~m_main_v_state2(s436, c_c2)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34911,plain,
% 18.00/12.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s436, c_n2)) | (~m_main_v_state2(s436, c_c2)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34912,plain,
% 18.00/12.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s436, c_n2)) | (~m_main_v_state2(s436, c_c2))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34911, 34910])).
% 18.00/12.84 tff(34913,plain,
% 18.00/12.84 (~m_main_v_state2(s436, c_n2)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34912, 697, 34872])).
% 18.00/12.84 tff(34914,plain,
% 18.00/12.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s436, c_n2) | (~node8(s436)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s436, c_n2) | (~node8(s436)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34915,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s436, c_n2) | (~node8(s436)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34916,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s436, c_n2) | (~node8(s436))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34915, 34914])).
% 18.00/12.84 tff(34917,plain,
% 18.00/12.84 (~node8(s436)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34916, 271, 34913])).
% 18.00/12.84 tff(34918,plain,
% 18.00/12.84 (succ(s436, s437) <=> succ(s436, s437)),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34919,axiom,(succ(s436, s437)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound437')).
% 18.00/12.84 tff(34920,plain,
% 18.00/12.84 (succ(s436, s437)),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34919, 34918])).
% 18.00/12.84 tff(34921,plain,
% 18.00/12.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s436, s437)) | trans(s436, s437))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s436, s437)) | trans(s436, s437))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34922,plain,
% 18.00/12.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s436, s437)) | trans(s436, s437))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34923,plain,
% 18.00/12.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s436, s437)) | trans(s436, s437)),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34922, 34921])).
% 18.00/12.84 tff(34924,plain,
% 18.00/12.84 (trans(s436, s437)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34923, 34920, 32])).
% 18.00/12.84 tff(34925,plain,
% 18.00/12.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s436, s437)) | node14(s436, s437))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s436, s437)) | node14(s436, s437))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34926,plain,
% 18.00/12.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s436, s437)) | node14(s436, s437))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34927,plain,
% 18.00/12.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s436, s437)) | node14(s436, s437)),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34926, 34925])).
% 18.00/12.84 tff(34928,plain,
% 18.00/12.84 (node14(s436, s437)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34927, 46, 34924])).
% 18.00/12.84 tff(34929,plain,
% 18.00/12.84 (((~![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(s437, c_n2) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~node14(s436, s437)) | (~m_main_v_state2(s436, 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(s437, c_n2) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~node14(s436, s437)) | (~m_main_v_state2(s436, c_c2)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34930,plain,
% 18.00/12.84 (((~m_main_v_state2(s436, c_c2)) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~node14(s436, s437)) | m_main_v_state2(s437, c_n2)) <=> (m_main_v_state2(s437, c_n2) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~node14(s436, s437)) | (~m_main_v_state2(s436, c_c2)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34931,plain,
% 18.00/12.84 (((~![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(s436, c_c2)) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~node14(s436, s437)) | m_main_v_state2(s437, 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(s437, c_n2) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~node14(s436, s437)) | (~m_main_v_state2(s436, c_c2))))),
% 18.00/12.84 inference(monotonicity,[status(thm)],[34930])).
% 18.00/12.84 tff(34932,plain,
% 18.00/12.84 (((~![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(s436, c_c2)) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~node14(s436, s437)) | m_main_v_state2(s437, 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(s437, c_n2) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~node14(s436, s437)) | (~m_main_v_state2(s436, c_c2)))),
% 18.00/12.84 inference(transitivity,[status(thm)],[34931, 34929])).
% 18.00/12.84 tff(34933,plain,
% 18.00/12.84 ((~![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(s436, c_c2)) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~node14(s436, s437)) | m_main_v_state2(s437, c_n2))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34934,plain,
% 18.00/12.84 ((~![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(s437, c_n2) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~node14(s436, s437)) | (~m_main_v_state2(s436, c_c2))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34933, 34932])).
% 18.00/12.84 tff(34935,plain,
% 18.00/12.84 (m_main_v_state2(s437, c_n2) | node9(s436) | node8(s436) | node10(s436) | node11(s436) | node12(s436) | (~m_main_v_state2(s436, c_c2))),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34934, 726, 34928])).
% 18.00/12.84 tff(34936,plain,
% 18.00/12.84 (m_main_v_state2(s437, c_n2)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34935, 34917, 34872, 34909, 34905, 34897, 34880])).
% 18.00/12.84 tff(34937,plain,
% 18.00/12.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s437, c_n2)) | (~m_main_v_state2(s437, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s437, c_n2)) | (~m_main_v_state2(s437, c_c2)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34938,plain,
% 18.00/12.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s437, c_n2)) | (~m_main_v_state2(s437, c_c2)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34939,plain,
% 18.00/12.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s437, c_n2)) | (~m_main_v_state2(s437, c_c2))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34938, 34937])).
% 18.00/12.84 tff(34940,plain,
% 18.00/12.84 (~m_main_v_state2(s437, c_c2)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34939, 697, 34936])).
% 18.00/12.84 tff(34941,plain,
% 18.00/12.84 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s437, c_c2) | (~node3(s437)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s437, c_c2) | (~node3(s437)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34942,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s437, c_c2) | (~node3(s437)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34943,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s437, c_c2) | (~node3(s437))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34942, 34941])).
% 18.00/12.84 tff(34944,plain,
% 18.00/12.84 (~node3(s437)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34943, 399, 34940])).
% 18.00/12.84 tff(34945,plain,
% 18.00/12.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s436, c_n1) | (~node1(s436)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s436, c_n1) | (~node1(s436)))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34946,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s436, c_n1) | (~node1(s436)))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34947,plain,
% 18.00/12.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s436, c_n1) | (~node1(s436))),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34946, 34945])).
% 18.00/12.84 tff(34948,plain,
% 18.00/12.84 (~node1(s436)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34947, 421, 34893])).
% 18.00/12.84 tff(34949,plain,
% 18.00/12.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s435, s436)) | node18(s435, s436))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s435, s436)) | node18(s435, s436))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34950,plain,
% 18.00/12.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s435, s436)) | node18(s435, s436))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34951,plain,
% 18.00/12.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s435, s436)) | node18(s435, s436)),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34950, 34949])).
% 18.00/12.84 tff(34952,plain,
% 18.00/12.84 (node18(s435, s436)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34951, 125, 34863])).
% 18.00/12.84 tff(34953,plain,
% 18.00/12.84 (((~![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(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | (~node18(s435, s436)) | m_main_v_turn(s436, 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(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | (~node18(s435, s436)) | m_main_v_turn(s436, c_2))),
% 18.00/12.84 inference(rewrite,[status(thm)],[])).
% 18.00/12.84 tff(34954,plain,
% 18.00/12.84 ((~![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(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | (~node18(s435, s436)) | m_main_v_turn(s436, c_2))),
% 18.00/12.84 inference(quant_inst,[status(thm)],[])).
% 18.00/12.84 tff(34955,plain,
% 18.00/12.84 ((~![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(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | (~node18(s435, s436)) | m_main_v_turn(s436, c_2)),
% 18.00/12.84 inference(modus_ponens,[status(thm)],[34954, 34953])).
% 18.00/12.84 tff(34956,plain,
% 18.00/12.84 ((~m_main_v_state1(s435, c_n1)) | (~m_main_v_state2(s435, c_t2)) | m_main_v_turn(s436, c_2)),
% 18.00/12.84 inference(unit_resolution,[status(thm)],[34955, 760, 34952])).
% 18.00/12.84 tff(34957,plain,
% 18.00/12.84 (m_main_v_turn(s436, c_2)),
% 18.05/12.84 inference(unit_resolution,[status(thm)],[34956, 34816, 34852])).
% 18.05/12.84 tff(34958,plain,
% 18.05/12.84 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s436, c_1)) | (~m_main_v_turn(s436, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s436, c_1)) | (~m_main_v_turn(s436, c_2)))),
% 18.05/12.84 inference(rewrite,[status(thm)],[])).
% 18.05/12.84 tff(34959,plain,
% 18.05/12.84 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s436, c_1)) | (~m_main_v_turn(s436, c_2)))),
% 18.05/12.84 inference(quant_inst,[status(thm)],[])).
% 18.05/12.84 tff(34960,plain,
% 18.05/12.84 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s436, c_1)) | (~m_main_v_turn(s436, c_2))),
% 18.05/12.84 inference(modus_ponens,[status(thm)],[34959, 34958])).
% 18.05/12.84 tff(34961,plain,
% 18.05/12.84 (~m_main_v_turn(s436, c_1)),
% 18.05/12.84 inference(unit_resolution,[status(thm)],[34960, 156, 34957])).
% 18.05/12.84 tff(34962,plain,
% 18.05/12.84 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s436, c_1) | (~node5(s436)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s436, c_1) | (~node5(s436)))),
% 18.05/12.84 inference(rewrite,[status(thm)],[])).
% 18.05/12.84 tff(34963,plain,
% 18.05/12.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s436, c_1) | (~node5(s436)))),
% 18.05/12.84 inference(quant_inst,[status(thm)],[])).
% 18.05/12.84 tff(34964,plain,
% 18.05/12.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s436, c_1) | (~node5(s436))),
% 18.05/12.84 inference(modus_ponens,[status(thm)],[34963, 34962])).
% 18.05/12.84 tff(34965,plain,
% 18.05/12.84 (~node5(s436)),
% 18.05/12.84 inference(unit_resolution,[status(thm)],[34964, 776, 34961])).
% 18.05/12.84 tff(34966,plain,
% 18.05/12.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s436, c_n1) | (~node2(s436)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s436, c_n1) | (~node2(s436)))),
% 18.05/12.84 inference(rewrite,[status(thm)],[])).
% 18.05/12.84 tff(34967,plain,
% 18.05/12.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s436, c_n1) | (~node2(s436)))),
% 18.05/12.84 inference(quant_inst,[status(thm)],[])).
% 18.05/12.84 tff(34968,plain,
% 18.05/12.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s436, c_n1) | (~node2(s436))),
% 18.05/12.84 inference(modus_ponens,[status(thm)],[34967, 34966])).
% 18.05/12.84 tff(34969,plain,
% 18.05/12.84 (~node2(s436)),
% 18.05/12.84 inference(unit_resolution,[status(thm)],[34968, 787, 34893])).
% 18.05/12.84 tff(34970,plain,
% 18.05/12.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s436, c_n1) | (~node3(s436)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s436, c_n1) | (~node3(s436)))),
% 18.05/12.84 inference(rewrite,[status(thm)],[])).
% 18.05/12.84 tff(34971,plain,
% 18.05/12.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s436, c_n1) | (~node3(s436)))),
% 18.05/12.84 inference(quant_inst,[status(thm)],[])).
% 18.05/12.84 tff(34972,plain,
% 18.05/12.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s436, c_n1) | (~node3(s436))),
% 18.05/12.84 inference(modus_ponens,[status(thm)],[34971, 34970])).
% 18.05/12.84 tff(34973,plain,
% 18.05/12.84 (~node3(s436)),
% 18.05/12.84 inference(unit_resolution,[status(thm)],[34972, 798, 34893])).
% 18.05/12.84 tff(34974,plain,
% 18.05/12.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s436, c_n2) | (~node4(s436)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s436, c_n2) | (~node4(s436)))),
% 18.05/12.84 inference(rewrite,[status(thm)],[])).
% 18.05/12.84 tff(34975,plain,
% 18.05/12.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s436, c_n2) | (~node4(s436)))),
% 18.05/12.84 inference(quant_inst,[status(thm)],[])).
% 18.05/12.84 tff(34976,plain,
% 18.05/12.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s436, c_n2) | (~node4(s436))),
% 18.05/12.84 inference(modus_ponens,[status(thm)],[34975, 34974])).
% 18.05/12.84 tff(34977,plain,
% 18.05/12.84 (~node4(s436)),
% 18.05/12.84 inference(unit_resolution,[status(thm)],[34976, 388, 34913])).
% 18.05/12.84 tff(34978,plain,
% 18.05/12.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s436, s437)) | node7(s436, s437))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s436, s437)) | node7(s436, s437))),
% 18.05/12.84 inference(rewrite,[status(thm)],[])).
% 18.05/12.84 tff(34979,plain,
% 18.05/12.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s436, s437)) | node7(s436, s437))),
% 18.05/12.84 inference(quant_inst,[status(thm)],[])).
% 18.05/12.84 tff(34980,plain,
% 18.05/12.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s436, s437)) | node7(s436, s437)),
% 18.05/12.84 inference(modus_ponens,[status(thm)],[34979, 34978])).
% 18.05/12.84 tff(34981,plain,
% 18.05/12.84 (node7(s436, s437)),
% 18.05/12.84 inference(unit_resolution,[status(thm)],[34980, 206, 34924])).
% 18.05/12.84 tff(34982,plain,
% 18.05/12.84 (((~![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(s436, c_c1) | node1(s436) | node2(s436) | node3(s436) | node4(s436) | node5(s436) | node6(s436, s437) | (~node7(s436, s437)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s436, c_c1) | node1(s436) | node2(s436) | node3(s436) | node4(s436) | node5(s436) | node6(s436, s437) | (~node7(s436, s437)))),
% 18.05/12.84 inference(rewrite,[status(thm)],[])).
% 18.05/12.84 tff(34983,plain,
% 18.05/12.84 ((~![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(s436, c_c1) | node1(s436) | node2(s436) | node3(s436) | node4(s436) | node5(s436) | node6(s436, s437) | (~node7(s436, s437)))),
% 18.05/12.84 inference(quant_inst,[status(thm)],[])).
% 18.05/12.84 tff(34984,plain,
% 18.05/12.84 ((~![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(s436, c_c1) | node1(s436) | node2(s436) | node3(s436) | node4(s436) | node5(s436) | node6(s436, s437) | (~node7(s436, s437))),
% 18.05/12.84 inference(modus_ponens,[status(thm)],[34983, 34982])).
% 18.05/12.84 tff(34985,plain,
% 18.05/12.84 (m_main_v_state1(s436, c_c1) | node1(s436) | node2(s436) | node3(s436) | node4(s436) | node5(s436) | node6(s436, s437)),
% 18.05/12.84 inference(unit_resolution,[status(thm)],[34984, 820, 34981])).
% 18.05/12.84 tff(34986,plain,
% 18.05/12.84 (node6(s436, s437)),
% 18.05/12.84 inference(unit_resolution,[status(thm)],[34985, 34977, 34901, 34973, 34969, 34965, 34948])).
% 18.05/12.84 tff(34987,plain,
% 18.05/12.84 (((~![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(s436, c_n1) | (~m_main_v_state1(s437, c_n1)) | (~node6(s436, s437)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s436, c_n1) | (~m_main_v_state1(s437, c_n1)) | (~node6(s436, s437)))),
% 18.05/12.84 inference(rewrite,[status(thm)],[])).
% 18.05/12.84 tff(34988,plain,
% 18.05/12.84 (((~node6(s436, s437)) | m_main_v_state1(s436, c_n1) | (~m_main_v_state1(s437, c_n1))) <=> (m_main_v_state1(s436, c_n1) | (~m_main_v_state1(s437, c_n1)) | (~node6(s436, s437)))),
% 18.05/12.84 inference(rewrite,[status(thm)],[])).
% 18.05/12.84 tff(34989,plain,
% 18.05/12.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s436, s437)) | m_main_v_state1(s436, c_n1) | (~m_main_v_state1(s437, 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(s436, c_n1) | (~m_main_v_state1(s437, c_n1)) | (~node6(s436, s437))))),
% 18.05/12.84 inference(monotonicity,[status(thm)],[34988])).
% 18.05/12.84 tff(34990,plain,
% 18.05/12.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s436, s437)) | m_main_v_state1(s436, c_n1) | (~m_main_v_state1(s437, 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(s436, c_n1) | (~m_main_v_state1(s437, c_n1)) | (~node6(s436, s437)))),
% 18.05/12.84 inference(transitivity,[status(thm)],[34989, 34987])).
% 18.05/12.84 tff(34991,plain,
% 18.05/12.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s436, s437)) | m_main_v_state1(s436, c_n1) | (~m_main_v_state1(s437, c_n1)))),
% 18.05/12.84 inference(quant_inst,[status(thm)],[])).
% 18.05/12.84 tff(34992,plain,
% 18.05/12.84 ((~![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(s436, c_n1) | (~m_main_v_state1(s437, c_n1)) | (~node6(s436, s437))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[34991, 34990])).
% 18.05/12.85 tff(34993,plain,
% 18.05/12.85 (~m_main_v_state1(s437, c_n1)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[34992, 835, 34893, 34986])).
% 18.05/12.85 tff(34994,plain,
% 18.05/12.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s437, c_n1) | (~node2(s437)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s437, c_n1) | (~node2(s437)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(34995,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s437, c_n1) | (~node2(s437)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(34996,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s437, c_n1) | (~node2(s437))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[34995, 34994])).
% 18.05/12.85 tff(34997,plain,
% 18.05/12.85 (~node2(s437)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[34996, 787, 34993])).
% 18.05/12.85 tff(34998,plain,
% 18.05/12.85 (((~![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(s436, c_t1)) | m_main_v_state1(s437, c_t1) | (~node6(s436, s437)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s436, c_t1)) | m_main_v_state1(s437, c_t1) | (~node6(s436, s437)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(34999,plain,
% 18.05/12.85 (((~node6(s436, s437)) | (~m_main_v_state1(s436, c_t1)) | m_main_v_state1(s437, c_t1)) <=> ((~m_main_v_state1(s436, c_t1)) | m_main_v_state1(s437, c_t1) | (~node6(s436, s437)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35000,plain,
% 18.05/12.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s436, s437)) | (~m_main_v_state1(s436, c_t1)) | m_main_v_state1(s437, 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(s436, c_t1)) | m_main_v_state1(s437, c_t1) | (~node6(s436, s437))))),
% 18.05/12.85 inference(monotonicity,[status(thm)],[34999])).
% 18.05/12.85 tff(35001,plain,
% 18.05/12.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s436, s437)) | (~m_main_v_state1(s436, c_t1)) | m_main_v_state1(s437, 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(s436, c_t1)) | m_main_v_state1(s437, c_t1) | (~node6(s436, s437)))),
% 18.05/12.85 inference(transitivity,[status(thm)],[35000, 34998])).
% 18.05/12.85 tff(35002,plain,
% 18.05/12.85 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s436, s437)) | (~m_main_v_state1(s436, c_t1)) | m_main_v_state1(s437, c_t1))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35003,plain,
% 18.05/12.85 ((~![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(s436, c_t1)) | m_main_v_state1(s437, c_t1) | (~node6(s436, s437))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35002, 35001])).
% 18.05/12.85 tff(35004,plain,
% 18.05/12.85 (m_main_v_state1(s437, c_t1)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35003, 856, 34889, 34986])).
% 18.05/12.85 tff(35005,plain,
% 18.05/12.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s437, c_n2)) | (~m_main_v_state2(s437, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s437, c_n2)) | (~m_main_v_state2(s437, c_t2)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35006,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s437, c_n2)) | (~m_main_v_state2(s437, c_t2)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35007,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s437, c_n2)) | (~m_main_v_state2(s437, c_t2))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35006, 35005])).
% 18.05/12.85 tff(35008,plain,
% 18.05/12.85 (~m_main_v_state2(s437, c_t2)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35007, 77, 34936])).
% 18.05/12.85 tff(35009,plain,
% 18.05/12.85 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s437, c_t2) | (~node1(s437)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s437, c_t2) | (~node1(s437)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35010,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s437, c_t2) | (~node1(s437)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35011,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s437, c_t2) | (~node1(s437))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35010, 35009])).
% 18.05/12.85 tff(35012,plain,
% 18.05/12.85 (~node1(s437)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35011, 195, 35008])).
% 18.05/12.85 tff(35013,plain,
% 18.05/12.85 (succ(s437, s438) <=> succ(s437, s438)),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35014,axiom,(succ(s437, s438)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound438')).
% 18.05/12.85 tff(35015,plain,
% 18.05/12.85 (succ(s437, s438)),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35014, 35013])).
% 18.05/12.85 tff(35016,plain,
% 18.05/12.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s437, s438)) | trans(s437, s438))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s437, s438)) | trans(s437, s438))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35017,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s437, s438)) | trans(s437, s438))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35018,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s437, s438)) | trans(s437, s438)),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35017, 35016])).
% 18.05/12.85 tff(35019,plain,
% 18.05/12.85 (trans(s437, s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35018, 35015, 32])).
% 18.05/12.85 tff(35020,plain,
% 18.05/12.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s437, s438)) | node7(s437, s438))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s437, s438)) | node7(s437, s438))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35021,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s437, s438)) | node7(s437, s438))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35022,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s437, s438)) | node7(s437, s438)),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35021, 35020])).
% 18.05/12.85 tff(35023,plain,
% 18.05/12.85 (node7(s437, s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35022, 206, 35019])).
% 18.05/12.85 tff(35024,plain,
% 18.05/12.85 (((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_state1(s438, c_c1) | node1(s437) | node2(s437) | node3(s437) | (~node7(s437, s438)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_state1(s438, c_c1) | node1(s437) | node2(s437) | node3(s437) | (~node7(s437, s438)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35025,plain,
% 18.05/12.85 (((~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | node1(s437) | node2(s437) | node3(s437) | (~node7(s437, s438)) | m_main_v_state1(s438, c_c1)) <=> ((~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_state1(s438, c_c1) | node1(s437) | node2(s437) | node3(s437) | (~node7(s437, s438)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35026,plain,
% 18.05/12.85 (((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | node1(s437) | node2(s437) | node3(s437) | (~node7(s437, s438)) | m_main_v_state1(s438, 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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_state1(s438, c_c1) | node1(s437) | node2(s437) | node3(s437) | (~node7(s437, s438))))),
% 18.05/12.85 inference(monotonicity,[status(thm)],[35025])).
% 18.05/12.85 tff(35027,plain,
% 18.05/12.85 (((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | node1(s437) | node2(s437) | node3(s437) | (~node7(s437, s438)) | m_main_v_state1(s438, 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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_state1(s438, c_c1) | node1(s437) | node2(s437) | node3(s437) | (~node7(s437, s438)))),
% 18.05/12.85 inference(transitivity,[status(thm)],[35026, 35024])).
% 18.05/12.85 tff(35028,plain,
% 18.05/12.85 ((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | node1(s437) | node2(s437) | node3(s437) | (~node7(s437, s438)) | m_main_v_state1(s438, c_c1))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35029,plain,
% 18.05/12.85 ((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_state1(s438, c_c1) | node1(s437) | node2(s437) | node3(s437) | (~node7(s437, s438))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35028, 35027])).
% 18.05/12.85 tff(35030,plain,
% 18.05/12.85 ((~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_state1(s438, c_c1) | node1(s437) | node2(s437) | node3(s437)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35029, 892, 35023])).
% 18.05/12.85 tff(35031,plain,
% 18.05/12.85 (m_main_v_state1(s438, c_c1)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35030, 35012, 34936, 35004, 34997, 34944])).
% 18.05/12.85 tff(35032,plain,
% 18.05/12.85 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s438, c_t1)) | (~m_main_v_state1(s438, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s438, c_t1)) | (~m_main_v_state1(s438, c_c1)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35033,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s438, c_t1)) | (~m_main_v_state1(s438, c_c1)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35034,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s438, c_t1)) | (~m_main_v_state1(s438, c_c1))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35033, 35032])).
% 18.05/12.85 tff(35035,plain,
% 18.05/12.85 (~m_main_v_state1(s438, c_t1)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35034, 539, 35031])).
% 18.05/12.85 tff(35036,plain,
% 18.05/12.85 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s438, c_t1) | (~node5(s438)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s438, c_t1) | (~node5(s438)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35037,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s438, c_t1) | (~node5(s438)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35038,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s438, c_t1) | (~node5(s438))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35037, 35036])).
% 18.05/12.85 tff(35039,plain,
% 18.05/12.85 (~node5(s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35038, 550, 35035])).
% 18.05/12.85 tff(35040,plain,
% 18.05/12.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s437, s438)) | node14(s437, s438))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s437, s438)) | node14(s437, s438))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35041,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s437, s438)) | node14(s437, s438))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35042,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s437, s438)) | node14(s437, s438)),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35041, 35040])).
% 18.05/12.85 tff(35043,plain,
% 18.05/12.85 (node14(s437, s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35042, 46, 35019])).
% 18.05/12.85 tff(35044,plain,
% 18.05/12.85 (((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | (~node14(s437, s438)) | m_main_v_state2(s438, 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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | (~node14(s437, s438)) | m_main_v_state2(s438, c_t2))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35045,plain,
% 18.05/12.85 ((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | (~node14(s437, s438)) | m_main_v_state2(s438, c_t2))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35046,plain,
% 18.05/12.85 ((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | (~node14(s437, s438)) | m_main_v_state2(s438, c_t2)),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35045, 35044])).
% 18.05/12.85 tff(35047,plain,
% 18.05/12.85 ((~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_state2(s438, c_t2)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35046, 922, 35043])).
% 18.05/12.85 tff(35048,plain,
% 18.05/12.85 (m_main_v_state2(s438, c_t2)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35047, 35004, 34936])).
% 18.05/12.85 tff(35049,plain,
% 18.05/12.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s438, c_n2)) | (~m_main_v_state2(s438, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s438, c_n2)) | (~m_main_v_state2(s438, c_t2)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35050,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s438, c_n2)) | (~m_main_v_state2(s438, c_t2)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35051,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s438, c_n2)) | (~m_main_v_state2(s438, c_t2))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35050, 35049])).
% 18.05/12.85 tff(35052,plain,
% 18.05/12.85 (~m_main_v_state2(s438, c_n2)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35051, 77, 35048])).
% 18.05/12.85 tff(35053,plain,
% 18.05/12.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s438, c_n2) | (~node4(s438)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s438, c_n2) | (~node4(s438)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35054,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s438, c_n2) | (~node4(s438)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35055,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s438, c_n2) | (~node4(s438))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35054, 35053])).
% 18.05/12.85 tff(35056,plain,
% 18.05/12.85 (~node4(s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35055, 388, 35052])).
% 18.05/12.85 tff(35057,plain,
% 18.05/12.85 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s438, c_t2)) | (~m_main_v_state2(s438, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s438, c_t2)) | (~m_main_v_state2(s438, c_c2)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35058,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s438, c_t2)) | (~m_main_v_state2(s438, c_c2)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35059,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s438, c_t2)) | (~m_main_v_state2(s438, c_c2))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35058, 35057])).
% 18.05/12.85 tff(35060,plain,
% 18.05/12.85 (~m_main_v_state2(s438, c_c2)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35059, 260, 35048])).
% 18.05/12.85 tff(35061,plain,
% 18.05/12.85 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s438, c_c2) | (~node3(s438)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s438, c_c2) | (~node3(s438)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35062,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s438, c_c2) | (~node3(s438)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35063,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s438, c_c2) | (~node3(s438))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35062, 35061])).
% 18.05/12.85 tff(35064,plain,
% 18.05/12.85 (~node3(s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35063, 399, 35060])).
% 18.05/12.85 tff(35065,plain,
% 18.05/12.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s438, c_n2) | (~node2(s438)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s438, c_n2) | (~node2(s438)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35066,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s438, c_n2) | (~node2(s438)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35067,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s438, c_n2) | (~node2(s438))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35066, 35065])).
% 18.05/12.85 tff(35068,plain,
% 18.05/12.85 (~node2(s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35067, 410, 35052])).
% 18.05/12.85 tff(35069,plain,
% 18.05/12.85 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s438, c_n1)) | (~m_main_v_state1(s438, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s438, c_n1)) | (~m_main_v_state1(s438, c_c1)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35070,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s438, c_n1)) | (~m_main_v_state1(s438, c_c1)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35071,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s438, c_n1)) | (~m_main_v_state1(s438, c_c1))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35070, 35069])).
% 18.05/12.85 tff(35072,plain,
% 18.05/12.85 (~m_main_v_state1(s438, c_n1)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35071, 454, 35031])).
% 18.05/12.85 tff(35073,plain,
% 18.05/12.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s438, c_n1) | (~node1(s438)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s438, c_n1) | (~node1(s438)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35074,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s438, c_n1) | (~node1(s438)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35075,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s438, c_n1) | (~node1(s438))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35074, 35073])).
% 18.05/12.85 tff(35076,plain,
% 18.05/12.85 (~node1(s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35075, 421, 35072])).
% 18.05/12.85 tff(35077,plain,
% 18.05/12.85 (succ(s438, s439) <=> succ(s438, s439)),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35078,axiom,(succ(s438, s439)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound439')).
% 18.05/12.85 tff(35079,plain,
% 18.05/12.85 (succ(s438, s439)),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35078, 35077])).
% 18.05/12.85 tff(35080,plain,
% 18.05/12.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s438, s439)) | trans(s438, s439))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s438, s439)) | trans(s438, s439))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35081,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s438, s439)) | trans(s438, s439))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35082,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s438, s439)) | trans(s438, s439)),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35081, 35080])).
% 18.05/12.85 tff(35083,plain,
% 18.05/12.85 (trans(s438, s439)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35082, 35079, 32])).
% 18.05/12.85 tff(35084,plain,
% 18.05/12.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s438, s439)) | node7(s438, s439))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s438, s439)) | node7(s438, s439))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35085,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s438, s439)) | node7(s438, s439))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35086,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s438, s439)) | node7(s438, s439)),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35085, 35084])).
% 18.05/12.85 tff(35087,plain,
% 18.05/12.85 (node7(s438, s439)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35086, 206, 35083])).
% 18.05/12.85 tff(35088,plain,
% 18.05/12.85 (((~![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(s439, c_n1) | (~m_main_v_state1(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438) | (~node7(s438, s439)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s439, c_n1) | (~m_main_v_state1(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438) | (~node7(s438, s439)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35089,plain,
% 18.05/12.85 (((~m_main_v_state1(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438) | (~node7(s438, s439)) | m_main_v_state1(s439, c_n1)) <=> (m_main_v_state1(s439, c_n1) | (~m_main_v_state1(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438) | (~node7(s438, s439)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35090,plain,
% 18.05/12.85 (((~![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(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438) | (~node7(s438, s439)) | m_main_v_state1(s439, 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(s439, c_n1) | (~m_main_v_state1(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438) | (~node7(s438, s439))))),
% 18.05/12.85 inference(monotonicity,[status(thm)],[35089])).
% 18.05/12.85 tff(35091,plain,
% 18.05/12.85 (((~![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(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438) | (~node7(s438, s439)) | m_main_v_state1(s439, 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(s439, c_n1) | (~m_main_v_state1(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438) | (~node7(s438, s439)))),
% 18.05/12.85 inference(transitivity,[status(thm)],[35090, 35088])).
% 18.05/12.85 tff(35092,plain,
% 18.05/12.85 ((~![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(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438) | (~node7(s438, s439)) | m_main_v_state1(s439, c_n1))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35093,plain,
% 18.05/12.85 ((~![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(s439, c_n1) | (~m_main_v_state1(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438) | (~node7(s438, s439))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35092, 35091])).
% 18.05/12.85 tff(35094,plain,
% 18.05/12.85 (m_main_v_state1(s439, c_n1) | (~m_main_v_state1(s438, c_c1)) | node1(s438) | node2(s438) | node3(s438) | node4(s438) | node5(s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35093, 584, 35087])).
% 18.05/12.85 tff(35095,plain,
% 18.05/12.85 (m_main_v_state1(s439, c_n1)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35094, 35076, 35031, 35068, 35064, 35056, 35039])).
% 18.05/12.85 tff(35096,plain,
% 18.05/12.85 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s437, c_t2) | (~node15(s437)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s437, c_t2) | (~node15(s437)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35097,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s437, c_t2) | (~node15(s437)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35098,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s437, c_t2) | (~node15(s437))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35097, 35096])).
% 18.05/12.85 tff(35099,plain,
% 18.05/12.85 (~node15(s437)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35098, 103, 35008])).
% 18.05/12.85 tff(35100,plain,
% 18.05/12.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s437, s438)) | node18(s437, s438))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s437, s438)) | node18(s437, s438))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35101,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s437, s438)) | node18(s437, s438))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35102,plain,
% 18.05/12.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s437, s438)) | node18(s437, s438)),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35101, 35100])).
% 18.05/12.85 tff(35103,plain,
% 18.05/12.85 (node18(s437, s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35102, 125, 35019])).
% 18.05/12.85 tff(35104,plain,
% 18.05/12.85 (((~![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(s437) | (~node18(s437, s438)) | (~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_turn(s438, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s437) | (~node18(s437, s438)) | (~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_turn(s438, c_1))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35105,plain,
% 18.05/12.85 (((~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | node15(s437) | (~node18(s437, s438)) | m_main_v_turn(s438, c_1)) <=> (node15(s437) | (~node18(s437, s438)) | (~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_turn(s438, c_1))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35106,plain,
% 18.05/12.85 (((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | node15(s437) | (~node18(s437, s438)) | m_main_v_turn(s438, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s437) | (~node18(s437, s438)) | (~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_turn(s438, c_1)))),
% 18.05/12.85 inference(monotonicity,[status(thm)],[35105])).
% 18.05/12.85 tff(35107,plain,
% 18.05/12.85 (((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | node15(s437) | (~node18(s437, s438)) | m_main_v_turn(s438, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s437) | (~node18(s437, s438)) | (~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_turn(s438, c_1))),
% 18.05/12.85 inference(transitivity,[status(thm)],[35106, 35104])).
% 18.05/12.85 tff(35108,plain,
% 18.05/12.85 ((~![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(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | node15(s437) | (~node18(s437, s438)) | m_main_v_turn(s438, c_1))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35109,plain,
% 18.05/12.85 ((~![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(s437) | (~node18(s437, s438)) | (~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_turn(s438, c_1)),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35108, 35107])).
% 18.05/12.85 tff(35110,plain,
% 18.05/12.85 (node15(s437) | (~m_main_v_state1(s437, c_t1)) | (~m_main_v_state2(s437, c_n2)) | m_main_v_turn(s438, c_1)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35109, 992, 35103])).
% 18.05/12.85 tff(35111,plain,
% 18.05/12.85 (m_main_v_turn(s438, c_1)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35110, 35099, 34936, 35004])).
% 18.05/12.85 tff(35112,plain,
% 18.05/12.85 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s438, c_1)) | (~m_main_v_turn(s438, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s438, c_1)) | (~m_main_v_turn(s438, c_2)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35113,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s438, c_1)) | (~m_main_v_turn(s438, c_2)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35114,plain,
% 18.05/12.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s438, c_1)) | (~m_main_v_turn(s438, c_2))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35113, 35112])).
% 18.05/12.85 tff(35115,plain,
% 18.05/12.85 (~m_main_v_turn(s438, c_2)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35114, 156, 35111])).
% 18.05/12.85 tff(35116,plain,
% 18.05/12.85 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s438, c_2) | (~node12(s438)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s438, c_2) | (~node12(s438)))),
% 18.05/12.85 inference(rewrite,[status(thm)],[])).
% 18.05/12.85 tff(35117,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s438, c_2) | (~node12(s438)))),
% 18.05/12.85 inference(quant_inst,[status(thm)],[])).
% 18.05/12.85 tff(35118,plain,
% 18.05/12.85 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s438, c_2) | (~node12(s438))),
% 18.05/12.85 inference(modus_ponens,[status(thm)],[35117, 35116])).
% 18.05/12.85 tff(35119,plain,
% 18.05/12.85 (~node12(s438)),
% 18.05/12.85 inference(unit_resolution,[status(thm)],[35118, 184, 35115])).
% 18.05/12.85 tff(35120,plain,
% 18.05/12.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s438, c_n2) | (~node8(s438)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s438, c_n2) | (~node8(s438)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35121,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s438, c_n2) | (~node8(s438)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35122,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s438, c_n2) | (~node8(s438))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35121, 35120])).
% 18.05/12.86 tff(35123,plain,
% 18.05/12.86 (~node8(s438)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35122, 271, 35052])).
% 18.05/12.86 tff(35124,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s438, c_n2) | (~node9(s438)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s438, c_n2) | (~node9(s438)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35125,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s438, c_n2) | (~node9(s438)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35126,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s438, c_n2) | (~node9(s438))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35125, 35124])).
% 18.05/12.86 tff(35127,plain,
% 18.05/12.86 (~node9(s438)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35126, 88, 35052])).
% 18.05/12.86 tff(35128,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s438, c_n2) | (~node10(s438)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s438, c_n2) | (~node10(s438)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35129,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s438, c_n2) | (~node10(s438)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35130,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s438, c_n2) | (~node10(s438))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35129, 35128])).
% 18.05/12.86 tff(35131,plain,
% 18.05/12.86 (~node10(s438)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35130, 249, 35052])).
% 18.05/12.86 tff(35132,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s438, c_n1) | (~node11(s438)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s438, c_n1) | (~node11(s438)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35133,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s438, c_n1) | (~node11(s438)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35134,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s438, c_n1) | (~node11(s438))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35133, 35132])).
% 18.05/12.86 tff(35135,plain,
% 18.05/12.86 (~node11(s438)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35134, 238, 35072])).
% 18.05/12.86 tff(35136,plain,
% 18.05/12.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s438, s439)) | node14(s438, s439))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s438, s439)) | node14(s438, s439))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35137,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s438, s439)) | node14(s438, s439))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35138,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s438, s439)) | node14(s438, s439)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35137, 35136])).
% 18.05/12.86 tff(35139,plain,
% 18.05/12.86 (node14(s438, s439)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35138, 46, 35083])).
% 18.05/12.86 tff(35140,plain,
% 18.05/12.86 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s438, c_c2) | node9(s438) | node8(s438) | node10(s438) | node11(s438) | node12(s438) | node13(s438, s439) | (~node14(s438, s439)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s438, c_c2) | node9(s438) | node8(s438) | node10(s438) | node11(s438) | node12(s438) | node13(s438, s439) | (~node14(s438, s439)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35141,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s438, c_c2) | node9(s438) | node8(s438) | node10(s438) | node11(s438) | node12(s438) | node13(s438, s439) | (~node14(s438, s439)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35142,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s438, c_c2) | node9(s438) | node8(s438) | node10(s438) | node11(s438) | node12(s438) | node13(s438, s439) | (~node14(s438, s439))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35141, 35140])).
% 18.05/12.86 tff(35143,plain,
% 18.05/12.86 (m_main_v_state2(s438, c_c2) | node9(s438) | node8(s438) | node10(s438) | node11(s438) | node12(s438) | node13(s438, s439)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35142, 296, 35139])).
% 18.05/12.86 tff(35144,plain,
% 18.05/12.86 (node13(s438, s439)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35143, 35135, 35060, 35131, 35127, 35123, 35119])).
% 18.05/12.86 tff(35145,plain,
% 18.05/12.86 (((~![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(s438, c_t2)) | m_main_v_state2(s439, c_t2) | (~node13(s438, s439)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s438, c_t2)) | m_main_v_state2(s439, c_t2) | (~node13(s438, s439)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35146,plain,
% 18.05/12.86 (((~node13(s438, s439)) | (~m_main_v_state2(s438, c_t2)) | m_main_v_state2(s439, c_t2)) <=> ((~m_main_v_state2(s438, c_t2)) | m_main_v_state2(s439, c_t2) | (~node13(s438, s439)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35147,plain,
% 18.05/12.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s438, s439)) | (~m_main_v_state2(s438, c_t2)) | m_main_v_state2(s439, 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(s438, c_t2)) | m_main_v_state2(s439, c_t2) | (~node13(s438, s439))))),
% 18.05/12.86 inference(monotonicity,[status(thm)],[35146])).
% 18.05/12.86 tff(35148,plain,
% 18.05/12.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s438, s439)) | (~m_main_v_state2(s438, c_t2)) | m_main_v_state2(s439, 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(s438, c_t2)) | m_main_v_state2(s439, c_t2) | (~node13(s438, s439)))),
% 18.05/12.86 inference(transitivity,[status(thm)],[35147, 35145])).
% 18.05/12.86 tff(35149,plain,
% 18.05/12.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s438, s439)) | (~m_main_v_state2(s438, c_t2)) | m_main_v_state2(s439, c_t2))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35150,plain,
% 18.05/12.86 ((~![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(s438, c_t2)) | m_main_v_state2(s439, c_t2) | (~node13(s438, s439))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35149, 35148])).
% 18.05/12.86 tff(35151,plain,
% 18.05/12.86 (m_main_v_state2(s439, c_t2)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35150, 518, 35048, 35144])).
% 18.05/12.86 tff(35152,plain,
% 18.05/12.86 (succ(s439, s440) <=> succ(s439, s440)),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35153,axiom,(succ(s439, s440)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound440')).
% 18.05/12.86 tff(35154,plain,
% 18.05/12.86 (succ(s439, s440)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35153, 35152])).
% 18.05/12.86 tff(35155,plain,
% 18.05/12.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s439, s440)) | trans(s439, s440))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s439, s440)) | trans(s439, s440))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35156,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s439, s440)) | trans(s439, s440))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35157,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s439, s440)) | trans(s439, s440)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35156, 35155])).
% 18.05/12.86 tff(35158,plain,
% 18.05/12.86 (trans(s439, s440)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35157, 35154, 32])).
% 18.05/12.86 tff(35159,plain,
% 18.05/12.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s439, s440)) | node7(s439, s440))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s439, s440)) | node7(s439, s440))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35160,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s439, s440)) | node7(s439, s440))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35161,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s439, s440)) | node7(s439, s440)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35160, 35159])).
% 18.05/12.86 tff(35162,plain,
% 18.05/12.86 (node7(s439, s440)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35161, 206, 35158])).
% 18.05/12.86 tff(35163,plain,
% 18.05/12.86 (((~![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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | (~node7(s439, s440)) | m_main_v_state1(s440, 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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | (~node7(s439, s440)) | m_main_v_state1(s440, c_t1))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35164,plain,
% 18.05/12.86 ((~![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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | (~node7(s439, s440)) | m_main_v_state1(s440, c_t1))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35165,plain,
% 18.05/12.86 ((~![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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | (~node7(s439, s440)) | m_main_v_state1(s440, c_t1)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35164, 35163])).
% 18.05/12.86 tff(35166,plain,
% 18.05/12.86 ((~m_main_v_state1(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | m_main_v_state1(s440, c_t1)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35165, 651, 35162])).
% 18.05/12.86 tff(35167,plain,
% 18.05/12.86 (m_main_v_state1(s440, c_t1)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35166, 35151, 35095])).
% 18.05/12.86 tff(35168,plain,
% 18.05/12.86 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s440, c_n1)) | (~m_main_v_state1(s440, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s440, c_n1)) | (~m_main_v_state1(s440, c_t1)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35169,plain,
% 18.05/12.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s440, c_n1)) | (~m_main_v_state1(s440, c_t1)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35170,plain,
% 18.05/12.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s440, c_n1)) | (~m_main_v_state1(s440, c_t1))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35169, 35168])).
% 18.05/12.86 tff(35171,plain,
% 18.05/12.86 (~m_main_v_state1(s440, c_n1)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35170, 10, 35167])).
% 18.05/12.86 tff(35172,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s440, c_n1) | (~node1(s440)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s440, c_n1) | (~node1(s440)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35173,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s440, c_n1) | (~node1(s440)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35174,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s440, c_n1) | (~node1(s440))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35173, 35172])).
% 18.05/12.86 tff(35175,plain,
% 18.05/12.86 (~node1(s440)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35174, 421, 35171])).
% 18.05/12.86 tff(35176,plain,
% 18.05/12.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s439, s440)) | node18(s439, s440))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s439, s440)) | node18(s439, s440))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35177,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s439, s440)) | node18(s439, s440))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35178,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s439, s440)) | node18(s439, s440)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35177, 35176])).
% 18.05/12.86 tff(35179,plain,
% 18.05/12.86 (node18(s439, s440)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35178, 125, 35158])).
% 18.05/12.86 tff(35180,plain,
% 18.05/12.86 (((~![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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | (~node18(s439, s440)) | m_main_v_turn(s440, 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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | (~node18(s439, s440)) | m_main_v_turn(s440, c_2))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35181,plain,
% 18.05/12.86 ((~![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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | (~node18(s439, s440)) | m_main_v_turn(s440, c_2))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35182,plain,
% 18.05/12.86 ((~![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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | (~node18(s439, s440)) | m_main_v_turn(s440, c_2)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35181, 35180])).
% 18.05/12.86 tff(35183,plain,
% 18.05/12.86 ((~m_main_v_state1(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | m_main_v_turn(s440, c_2)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35182, 760, 35179])).
% 18.05/12.86 tff(35184,plain,
% 18.05/12.86 (m_main_v_turn(s440, c_2)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35183, 35151, 35095])).
% 18.05/12.86 tff(35185,plain,
% 18.05/12.86 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s440, c_1)) | (~m_main_v_turn(s440, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s440, c_1)) | (~m_main_v_turn(s440, c_2)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35186,plain,
% 18.05/12.86 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s440, c_1)) | (~m_main_v_turn(s440, c_2)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35187,plain,
% 18.05/12.86 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s440, c_1)) | (~m_main_v_turn(s440, c_2))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35186, 35185])).
% 18.05/12.86 tff(35188,plain,
% 18.05/12.86 (~m_main_v_turn(s440, c_1)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35187, 156, 35184])).
% 18.05/12.86 tff(35189,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s440, c_1) | (~node5(s440)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s440, c_1) | (~node5(s440)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35190,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s440, c_1) | (~node5(s440)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35191,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s440, c_1) | (~node5(s440))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35190, 35189])).
% 18.05/12.86 tff(35192,plain,
% 18.05/12.86 (~node5(s440)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35191, 776, 35188])).
% 18.05/12.86 tff(35193,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s440, c_n1) | (~node2(s440)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s440, c_n1) | (~node2(s440)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35194,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s440, c_n1) | (~node2(s440)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35195,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s440, c_n1) | (~node2(s440))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35194, 35193])).
% 18.05/12.86 tff(35196,plain,
% 18.05/12.86 (~node2(s440)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35195, 787, 35171])).
% 18.05/12.86 tff(35197,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s440, c_n1) | (~node3(s440)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s440, c_n1) | (~node3(s440)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35198,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s440, c_n1) | (~node3(s440)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35199,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s440, c_n1) | (~node3(s440))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35198, 35197])).
% 18.05/12.86 tff(35200,plain,
% 18.05/12.86 (~node3(s440)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35199, 798, 35171])).
% 18.05/12.86 tff(35201,plain,
% 18.05/12.86 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s440, c_t1)) | (~m_main_v_state1(s440, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s440, c_t1)) | (~m_main_v_state1(s440, c_c1)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35202,plain,
% 18.05/12.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s440, c_t1)) | (~m_main_v_state1(s440, c_c1)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35203,plain,
% 18.05/12.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s440, c_t1)) | (~m_main_v_state1(s440, c_c1))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35202, 35201])).
% 18.05/12.86 tff(35204,plain,
% 18.05/12.86 (~m_main_v_state1(s440, c_c1)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35203, 539, 35167])).
% 18.05/12.86 tff(35205,plain,
% 18.05/12.86 (((~![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(s438, c_n2) | (~m_main_v_state2(s439, c_n2)) | (~node13(s438, s439)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s438, c_n2) | (~m_main_v_state2(s439, c_n2)) | (~node13(s438, s439)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35206,plain,
% 18.05/12.86 (((~node13(s438, s439)) | m_main_v_state2(s438, c_n2) | (~m_main_v_state2(s439, c_n2))) <=> (m_main_v_state2(s438, c_n2) | (~m_main_v_state2(s439, c_n2)) | (~node13(s438, s439)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35207,plain,
% 18.05/12.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s438, s439)) | m_main_v_state2(s438, c_n2) | (~m_main_v_state2(s439, 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(s438, c_n2) | (~m_main_v_state2(s439, c_n2)) | (~node13(s438, s439))))),
% 18.05/12.86 inference(monotonicity,[status(thm)],[35206])).
% 18.05/12.86 tff(35208,plain,
% 18.05/12.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s438, s439)) | m_main_v_state2(s438, c_n2) | (~m_main_v_state2(s439, 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(s438, c_n2) | (~m_main_v_state2(s439, c_n2)) | (~node13(s438, s439)))),
% 18.05/12.86 inference(transitivity,[status(thm)],[35207, 35205])).
% 18.05/12.86 tff(35209,plain,
% 18.05/12.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s438, s439)) | m_main_v_state2(s438, c_n2) | (~m_main_v_state2(s439, c_n2)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35210,plain,
% 18.05/12.86 ((~![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(s438, c_n2) | (~m_main_v_state2(s439, c_n2)) | (~node13(s438, s439))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35209, 35208])).
% 18.05/12.86 tff(35211,plain,
% 18.05/12.86 (~m_main_v_state2(s439, c_n2)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35210, 311, 35052, 35144])).
% 18.05/12.86 tff(35212,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s439, c_n2) | (~node9(s439)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s439, c_n2) | (~node9(s439)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35213,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s439, c_n2) | (~node9(s439)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35214,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s439, c_n2) | (~node9(s439))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35213, 35212])).
% 18.05/12.86 tff(35215,plain,
% 18.05/12.86 (~node9(s439)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35214, 88, 35211])).
% 18.05/12.86 tff(35216,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s439, c_n2) | (~node10(s439)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s439, c_n2) | (~node10(s439)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35217,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s439, c_n2) | (~node10(s439)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35218,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s439, c_n2) | (~node10(s439))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35217, 35216])).
% 18.05/12.86 tff(35219,plain,
% 18.05/12.86 (~node10(s439)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35218, 249, 35211])).
% 18.05/12.86 tff(35220,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s439, c_n2) | (~node8(s439)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s439, c_n2) | (~node8(s439)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35221,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s439, c_n2) | (~node8(s439)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35222,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s439, c_n2) | (~node8(s439))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35221, 35220])).
% 18.05/12.86 tff(35223,plain,
% 18.05/12.86 (~node8(s439)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35222, 271, 35211])).
% 18.05/12.86 tff(35224,plain,
% 18.05/12.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s439, s440)) | node14(s439, s440))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s439, s440)) | node14(s439, s440))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35225,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s439, s440)) | node14(s439, s440))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35226,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s439, s440)) | node14(s439, s440)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35225, 35224])).
% 18.05/12.86 tff(35227,plain,
% 18.05/12.86 (node14(s439, s440)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35226, 46, 35158])).
% 18.05/12.86 tff(35228,plain,
% 18.05/12.86 (((~![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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | node9(s439) | node8(s439) | node10(s439) | (~node14(s439, s440)) | m_main_v_state2(s440, 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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | node9(s439) | node8(s439) | node10(s439) | (~node14(s439, s440)) | m_main_v_state2(s440, c_c2))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35229,plain,
% 18.05/12.86 ((~![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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | node9(s439) | node8(s439) | node10(s439) | (~node14(s439, s440)) | m_main_v_state2(s440, c_c2))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35230,plain,
% 18.05/12.86 ((~![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(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | node9(s439) | node8(s439) | node10(s439) | (~node14(s439, s440)) | m_main_v_state2(s440, c_c2)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35229, 35228])).
% 18.05/12.86 tff(35231,plain,
% 18.05/12.86 ((~m_main_v_state1(s439, c_n1)) | (~m_main_v_state2(s439, c_t2)) | node9(s439) | node8(s439) | node10(s439) | m_main_v_state2(s440, c_c2)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35230, 617, 35227])).
% 18.05/12.86 tff(35232,plain,
% 18.05/12.86 (m_main_v_state2(s440, c_c2)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35231, 35223, 35095, 35151, 35219, 35215])).
% 18.05/12.86 tff(35233,plain,
% 18.05/12.86 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s440, c_n2)) | (~m_main_v_state2(s440, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s440, c_n2)) | (~m_main_v_state2(s440, c_c2)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35234,plain,
% 18.05/12.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s440, c_n2)) | (~m_main_v_state2(s440, c_c2)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35235,plain,
% 18.05/12.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s440, c_n2)) | (~m_main_v_state2(s440, c_c2))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35234, 35233])).
% 18.05/12.86 tff(35236,plain,
% 18.05/12.86 (~m_main_v_state2(s440, c_n2)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35235, 697, 35232])).
% 18.05/12.86 tff(35237,plain,
% 18.05/12.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s440, c_n2) | (~node4(s440)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s440, c_n2) | (~node4(s440)))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35238,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s440, c_n2) | (~node4(s440)))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35239,plain,
% 18.05/12.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s440, c_n2) | (~node4(s440))),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35238, 35237])).
% 18.05/12.86 tff(35240,plain,
% 18.05/12.86 (~node4(s440)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35239, 388, 35236])).
% 18.05/12.86 tff(35241,plain,
% 18.05/12.86 (succ(s440, s441) <=> succ(s440, s441)),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35242,axiom,(succ(s440, s441)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound441')).
% 18.05/12.86 tff(35243,plain,
% 18.05/12.86 (succ(s440, s441)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35242, 35241])).
% 18.05/12.86 tff(35244,plain,
% 18.05/12.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s440, s441)) | trans(s440, s441))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s440, s441)) | trans(s440, s441))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35245,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s440, s441)) | trans(s440, s441))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35246,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s440, s441)) | trans(s440, s441)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35245, 35244])).
% 18.05/12.86 tff(35247,plain,
% 18.05/12.86 (trans(s440, s441)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35246, 35243, 32])).
% 18.05/12.86 tff(35248,plain,
% 18.05/12.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s440, s441)) | node7(s440, s441))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s440, s441)) | node7(s440, s441))),
% 18.05/12.86 inference(rewrite,[status(thm)],[])).
% 18.05/12.86 tff(35249,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s440, s441)) | node7(s440, s441))),
% 18.05/12.86 inference(quant_inst,[status(thm)],[])).
% 18.05/12.86 tff(35250,plain,
% 18.05/12.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s440, s441)) | node7(s440, s441)),
% 18.05/12.86 inference(modus_ponens,[status(thm)],[35249, 35248])).
% 18.05/12.86 tff(35251,plain,
% 18.05/12.86 (node7(s440, s441)),
% 18.05/12.86 inference(unit_resolution,[status(thm)],[35250, 206, 35247])).
% 18.05/12.86 tff(35252,plain,
% 18.05/12.86 (((~![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(s440, c_c1) | node1(s440) | node2(s440) | node3(s440) | node4(s440) | node5(s440) | node6(s440, s441) | (~node7(s440, s441)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s440, c_c1) | node1(s440) | node2(s440) | node3(s440) | node4(s440) | node5(s440) | node6(s440, s441) | (~node7(s440, s441)))),
% 18.05/12.87 inference(rewrite,[status(thm)],[])).
% 18.05/12.87 tff(35253,plain,
% 18.05/12.87 ((~![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(s440, c_c1) | node1(s440) | node2(s440) | node3(s440) | node4(s440) | node5(s440) | node6(s440, s441) | (~node7(s440, s441)))),
% 18.05/12.87 inference(quant_inst,[status(thm)],[])).
% 18.05/12.87 tff(35254,plain,
% 18.05/12.87 ((~![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(s440, c_c1) | node1(s440) | node2(s440) | node3(s440) | node4(s440) | node5(s440) | node6(s440, s441) | (~node7(s440, s441))),
% 18.05/12.87 inference(modus_ponens,[status(thm)],[35253, 35252])).
% 18.05/12.87 tff(35255,plain,
% 18.05/12.87 (m_main_v_state1(s440, c_c1) | node1(s440) | node2(s440) | node3(s440) | node4(s440) | node5(s440) | node6(s440, s441)),
% 18.05/12.87 inference(unit_resolution,[status(thm)],[35254, 820, 35251])).
% 18.05/12.87 tff(35256,plain,
% 18.05/12.87 (node6(s440, s441)),
% 18.05/12.87 inference(unit_resolution,[status(thm)],[35255, 35240, 35204, 35200, 35196, 35192, 35175])).
% 18.05/12.87 tff(35257,plain,
% 18.05/12.87 (((~![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(s440, c_t1)) | m_main_v_state1(s441, c_t1) | (~node6(s440, s441)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s440, c_t1)) | m_main_v_state1(s441, c_t1) | (~node6(s440, s441)))),
% 18.05/12.87 inference(rewrite,[status(thm)],[])).
% 18.05/12.87 tff(35258,plain,
% 18.05/12.87 (((~node6(s440, s441)) | (~m_main_v_state1(s440, c_t1)) | m_main_v_state1(s441, c_t1)) <=> ((~m_main_v_state1(s440, c_t1)) | m_main_v_state1(s441, c_t1) | (~node6(s440, s441)))),
% 18.05/12.87 inference(rewrite,[status(thm)],[])).
% 18.05/12.87 tff(35259,plain,
% 18.05/12.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s440, s441)) | (~m_main_v_state1(s440, c_t1)) | m_main_v_state1(s441, c_t1))) <